Finite Group Databasebeta

← C89×#62912 #36440760

Subgroups — C89×#62912 #36440760

Order 22784.

8078 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3558C214yesmaximal, complemented
2C89×#3549C212yesmaximal, complemented
3C89×#3546C212yesmaximal, complemented
4C89×#3546C212yesmaximal, complemented
5C89×#3543C214yesmaximal, complemented
6C89×#3543C212yesmaximal, complemented
7C89×#3542C214yesmaximal, complemented
8C89×#3542C214yesmaximal, complemented
9C89×#3537C214yesmaximal, complemented
10C89×#3532C218yesmaximal, complemented
11C89×#3519C212yesmaximal, complemented
12C89×#3514C212yesmaximal, complemented
13C89×#3508C211yesmaximal, characteristic, complemented
14C89×#3506C211yesmaximal, characteristic, complemented
15C89×#3498C211yesmaximal, characteristic, complemented
16C89×#3498C212yesmaximal, complemented
17C89×#3496C212yesmaximal, complemented
18C89×#3494C212yesmaximal, complemented
19C89×#3488C212yesmaximal, complemented
20C89×#3484C212yesmaximal, complemented
21C89×#3484C214yesmaximal, complemented
22C89×#3475C211yesmaximal, characteristic, complemented
23D4×#41×C89C211yesmaximal, characteristic, complemented
24C2×D42×C89C211yesmaximal, characteristic, complemented
25C89×#3460C211yesmaximal, characteristic, complemented
26C2×#535×C89C212yesmaximal, complemented
27C2×H(5,𝔽2)×C89C2212yescomplemented
28C2×H(5,𝔽2)×C89C2214yescomplemented
29C22×#41×C89C2212yescomplemented
30C23×D4×C89C2212yescomplemented
31C23×D4×C89C2212yescomplemented
32#562×C89C2218yescomplemented
33H(3,𝔽4)×C89C2218yescomplemented
34#560×C89C2218yescomplemented
35#560×C89C2218yescomplemented
36#560×C89C2218yescomplemented
37#560×C89C2218yescomplemented
38#559×C89C2214yescomplemented
39#559×C89C2212yescomplemented
40#559×C89C2212yescomplemented
41#556×C89C2211yescharacteristic, complemented
42#556×C89C2212yescomplemented
43#555×C89C2211yescharacteristic, complemented
44#555×C89C2212yescomplemented
45#555×C89C2214yescomplemented
46#555×C89C2214yescomplemented
47#554×C89C2211yescharacteristic, complemented
48#553×C89C2212yescomplemented
49#553×C89C2214yescomplemented
50#553×C89C2214yescomplemented
51#553×C89C2214yescomplemented
52#553×C89C2214yescomplemented
53#552×C89C2212yescomplemented
54#552×C89C2212yescomplemented
55#551×C89C2214yescomplemented
56#551×C89C2218yescomplemented
57#551×C89C2218yescomplemented
58#550×C89C2211yescharacteristic, complemented
59#550×C89C2212yescomplemented
60#550×C89C2214yescomplemented
61#550×C89C2214yescomplemented
62#550×C89C2212yescomplemented
63#550×C89C2212yescomplemented
64#550×C89C2212yescomplemented
65#550×C89C2212yescomplemented
66D4×Q8×C89C2211yescharacteristic, complemented
67#548×C89C2212yescomplemented
68#548×C89C2214yescomplemented
69#547×C89C2212yescomplemented
70#547×C89C2211yescharacteristic, complemented
71#547×C89C2212yescomplemented
72#547×C89C2211yescharacteristic, complemented
73#547×C89C2214yescomplemented
74#546×C89C2212yescomplemented
75#546×C89C2218yescomplemented
76#546×C89C2214yescomplemented
77#546×C89C2214yescomplemented
78#546×C89C2214yescomplemented
79#546×C89C2218yescomplemented
80#546×C89C2212yescomplemented
81#546×C89C2214yescomplemented
82#546×C89C2218yescomplemented
83#546×C89C2218yescomplemented
84#546×C89C2218yescomplemented
85#546×C89C2214yescomplemented
86#546×C89C2214yescomplemented
87#546×C89C2214yescomplemented
88#546×C89C2214yescomplemented
89#546×C89C2214yescomplemented
90#546×C89C2214yescomplemented
91#546×C89C2214yescomplemented
92D42×C89C2212yescomplemented
93D42×C89C2212yescomplemented
94D42×C89C2214yescomplemented
95D42×C89C2212yescomplemented
96D42×C89C2214yescomplemented
97D42×C89C2212yescomplemented
98D42×C89C2212yescomplemented
99D42×C89C2218yescomplemented
100D42×C89C2214yescomplemented
101D42×C89C2214yescomplemented
102D42×C89C2211yescharacteristic, complemented
103D42×C89C2214yescomplemented
104D42×C89C2218yescomplemented
105D42×C89C2218yescomplemented
106D42×C89C2214yescomplemented
107D42×C89C2214yescomplemented
108D42×C89C2214yescomplemented
109D42×C89C2214yescomplemented
110D42×C89C2214yescomplemented
111D42×C89C2214yescomplemented
112D42×C89C2212yescomplemented
113D42×C89C2212yescomplemented
114#544×C89C2211yescharacteristic, complemented
115#542×C89C2212yescomplemented
116#542×C89C2212yescomplemented
117#542×C89C2214yescomplemented
118#542×C89C2214yescomplemented
119#540×C89C2212yescomplemented
120#540×C89C2212yescomplemented
121#540×C89C2214yescomplemented
122#540×C89C2214yescomplemented
123#540×C89C2218yescomplemented
124#540×C89C2214yescomplemented
125#538×C89C2214yescomplemented
126#538×C89C2214yescomplemented
127#538×C89C2218yescomplemented
128#538×C89C2218yescomplemented
129#538×C89C2218yescomplemented
130#538×C89C2218yescomplemented
131#538×C89C2218yescomplemented
132#537×C89C2211yescharacteristic, complemented
133#537×C89C2214yescomplemented
134#537×C89C2214yescomplemented
135#535×C89C2211yescharacteristic, complemented
136#535×C89C2212yescomplemented
137#535×C89C2211yescharacteristic, complemented
138#535×C89C2212yescomplemented
139#535×C89C2212yescomplemented
140#535×C89C2218yescomplemented
141#535×C89C2218yescomplemented
142#535×C89C2218yescomplemented
143#535×C89C2214yescomplemented
144#535×C89C2214yescomplemented
145#535×C89C2214yescomplemented
146#535×C89C2214yescomplemented
147#535×C89C2214yescomplemented
148#535×C89C2214yescomplemented
149#535×C89C2214yescomplemented
150#535×C89C2214yescomplemented
151#535×C89C2214yescomplemented
152#534×C89C2218yescomplemented
153#534×C89C2218yescomplemented
154#534×C89C2218yescomplemented
155#534×C89C2218yescomplemented
156#534×C89C2218yescomplemented
157#533×C89C2211yescharacteristic, complemented
158#532×C89C2211yescharacteristic, complemented
159#532×C89C2212yescomplemented
160#532×C89C2212yescomplemented
161#532×C89C2212yescomplemented
162#532×C89C2214yescomplemented
163#532×C89C2212yescomplemented
164#532×C89C2212yescomplemented
165#532×C89C2212yescomplemented
166C2×#127×C89C2211yescharacteristic, complemented
167C2×#127×C89C2214yescomplemented
168C2×#127×C89C2212yescomplemented
169#529×C89C2214yescomplemented
170#529×C89C2212yescomplemented
171#529×C89C2212yescomplemented
172#529×C89C2212yescomplemented
173#529×C89C2214yescomplemented
174C2×#124×C89C2214yescomplemented
175#525×C89C2212yescomplemented
176#525×C89C2212yescomplemented
177#525×C89C2214yescomplemented
178#525×C89C2214yescomplemented
179#525×C89C2214yescomplemented
180#525×C89C2214yescomplemented
181C2×#121×C89C2212yescomplemented
182C2×#121×C89C2212yescomplemented
183C2×#121×C89C2214yescomplemented
184C2×#121×C89C2214yescomplemented
185C2×#121×C89C2214yescomplemented
186C2×#120×C89C2214yescomplemented
187C2×#120×C89C2218yescomplemented
188C2×#120×C89C2218yescomplemented
189#520×C89C2212yescomplemented
190#518×C89C2212yescomplemented
191#518×C89C2214yescomplemented
192C4×#41×C89C2211yescharacteristic, complemented
193C4×#41×C89C2211yescharacteristic, complemented
194C4×#41×C89C2212yescomplemented
195C2×C4×D4×C89C2211yescharacteristic, complemented
196C2×C4×D4×C89C2211yescharacteristic, complemented
197C2×C4×D4×C89C2212yescomplemented
198C2×#117×C89C2212yescomplemented
199C25×C89C2314yes—
200H(5,𝔽2)×C89—416no—
201H(5,𝔽2)×C89—48no—
202C2×#41×C89—48no—
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C2×#41×C89C2312yes—
206C2×#41×C89C2312yes—
207C2×#41×C89C2314yes—
208C2×#41×C89C2314yescomplemented
209C2×#41×C89C2314yescomplemented
210C2×#41×C89C2314yescomplemented
211C2×#41×C89C2314yescomplemented
212C2×#41×C89C2318yescomplemented
213C2×#41×C89C2314yescomplemented
214C2×#41×C89C2314yescomplemented
215C2×#41×C89C2312yescomplemented
216C2×#41×C89C2312yescomplemented
217C2×#41×C89C2314yescomplemented
218C22×Q8×C89C2312yescomplemented
219C22×D4×C89—48no—
220C22×D4×C89—48no—
221C22×D4×C89C2311yescharacteristic
222C22×D4×C89C2312yes—
223C22×D4×C89C2311yescharacteristic
224C22×D4×C89C2312yes—
225C22×D4×C89C2314yes—
226C22×D4×C89C2314yes—
227C22×D4×C89C2314yes—
228C22×D4×C89C2314yes—
229C22×D4×C89C2318yes—
230C22×D4×C89C2314yes—
231C22×D4×C89C2312yes—
232C22×D4×C89C2314yes—
233C22×D4×C89C2318yes—
234C22×D4×C89C2314yes—
235C22×D4×C89C2314yes—
236C22×D4×C89C2314yes—
237C22×D4×C89C2312yes—
238C22×D4×C89C2318yescomplemented
239C22×D4×C89C2318yescomplemented
240C22×D4×C89C2318yescomplemented
241C22×D4×C89C2314yescomplemented
242C22×D4×C89C2312yescomplemented
243C22×D4×C89C2314yescomplemented
244C22×D4×C89C2314yescomplemented
245C22×D4×C89C2318yescomplemented
246C22×D4×C89C2318yescomplemented
247C22×D4×C89C2314yescomplemented
248C23×C4×C89C2312yes—
249C23×C4×C89C2312yes—
250C23×C4×C89C2314yescomplemented
251C4⋊Q8×C89C2312yescomplemented
252C4⋊Q8×C89C2311yescharacteristic, complemented
253C4⋊Q8×C89C2311yescharacteristic, complemented
254C4⋊Q8×C89C2311yescharacteristic, complemented
255C4⋊Q8×C89C2312yescomplemented
256C4⋊Q8×C89C2312yescomplemented
257#127×C89C2312yes—
258#127×C89C2312yes—
259#127×C89C2312yes—
260#127×C89C2312yes—
261#127×C89C2314yes—
262#127×C89C2312yes—
263#127×C89C2312yes—
264#127×C89C2312yes—
265#127×C89C2314yescomplemented
266#127×C89C2311yescharacteristic, complemented
267#127×C89C2318yescomplemented
268#127×C89C2314yescomplemented
269#127×C89C2318yescomplemented
270#127×C89C2314yescomplemented
271#127×C89C2314yescomplemented
272#127×C89C2318yescomplemented
273#126×C89C2314yescomplemented
274#126×C89C2314yescomplemented
275#126×C89C2314yescomplemented
276#126×C89C2314yescomplemented
277#126×C89C2314yescomplemented
278#126×C89C2318yescomplemented
279#126×C89C2318yescomplemented
280#126×C89C2318yescomplemented
281#125×C89C2312yescomplemented
282#125×C89C2314yescomplemented
283#125×C89C2312yescomplemented
284#125×C89C2312yescomplemented
285#125×C89C2312yescomplemented
286#124×C89C2312yes—
287#124×C89C2314yes—
288#124×C89C2312yes—
289#124×C89C2312yes—
290#124×C89C2314yescomplemented
291#124×C89C2318yescomplemented
292#124×C89C2314yescomplemented
293#124×C89C2318yescomplemented
294#124×C89C2314yescomplemented
295#124×C89C2314yescomplemented
296#124×C89C2312yescomplemented
297#124×C89C2318yescomplemented
298#124×C89C2314yescomplemented
299#124×C89C2314yescomplemented
300#124×C89C2314yescomplemented
301#124×C89C2314yescomplemented
302#124×C89C2318yescomplemented
303#124×C89C2318yescomplemented
304#124×C89C2318yescomplemented
305#123×C89C2314yes—
306#123×C89C2314yes—
307#123×C89C2314yes—
308#123×C89C2314yescomplemented
309#123×C89C2314yescomplemented
310#123×C89C2318yescomplemented
311#123×C89C2314yescomplemented
312#123×C89C2318yescomplemented
313#123×C89C2314yescomplemented
314#123×C89C2314yescomplemented
315#123×C89C2314yescomplemented
316#123×C89C2318yescomplemented
317#123×C89C2314yescomplemented
318#123×C89C2314yescomplemented
319#123×C89C2318yescomplemented
320#123×C89C2318yescomplemented
321#123×C89C2318yescomplemented
322#123×C89C2318yescomplemented
323#123×C89C2318yescomplemented
324#123×C89C2318yescomplemented
325#123×C89C2318yescomplemented
326#123×C89C2318yescomplemented
327C22⋊Q8×C89C2312yes—
328C22⋊Q8×C89C2314yes—
329C22⋊Q8×C89C2312yes—
330C22⋊Q8×C89C2312yescomplemented
331C22⋊Q8×C89C2312yescomplemented
332C22⋊Q8×C89C2312yescomplemented
333C22⋊Q8×C89C2312yescomplemented
334C22⋊Q8×C89C2314yescomplemented
335C22⋊Q8×C89C2314yescomplemented
336C22⋊Q8×C89C2314yescomplemented
337C22⋊Q8×C89C2312yescomplemented
338C22⋊Q8×C89C2314yescomplemented
339C22⋊Q8×C89C2312yescomplemented
340C22⋊Q8×C89C2312yescomplemented
341C22⋊Q8×C89C2314yescomplemented
342C22⋊Q8×C89C2318yescomplemented
343C22⋊Q8×C89C2318yescomplemented
344#121×C89C2314yes—
345#121×C89C2312yes—
346#121×C89C2312yes—
347#121×C89C2314yes—
348#121×C89C2314yes—
349#121×C89C2314yes—
350#121×C89C2314yes—
351#121×C89C2314yes—
352#121×C89C2314yes—
353#121×C89C2318yes—
354#121×C89C2314yes—
355#121×C89C2312yes—
356#121×C89C2314yes—
357#121×C89C2314yes—
358#121×C89C2314yes—
359#121×C89C2312yes—
360#121×C89C2312yes—
361#121×C89C2312yes—
362#121×C89C2312yes—
363#121×C89C2312yes—
364#121×C89C2312yescomplemented
365#121×C89C2314yescomplemented
366#121×C89C2312yescomplemented
367#121×C89C2314yescomplemented
368#121×C89C2318yescomplemented
369#121×C89C2318yescomplemented
370#121×C89C2318yescomplemented
371#121×C89C2318yescomplemented
372#121×C89C2314yescomplemented
373#121×C89C2314yescomplemented
374#121×C89C2318yescomplemented
375#121×C89C2318yescomplemented
376#121×C89C2312yescomplemented
377#121×C89C2314yescomplemented
378#121×C89C2312yescomplemented
379#121×C89C2314yescomplemented
380#121×C89C2312yescomplemented
381#121×C89C2314yescomplemented
382#121×C89C2314yescomplemented
383#121×C89C2314yescomplemented
384#121×C89C2318yescomplemented
385#121×C89C2314yescomplemented
386#121×C89C2312yescomplemented
387#121×C89C2314yescomplemented
388#121×C89C2314yescomplemented
389#121×C89C2312yescomplemented
390#121×C89C2314yescomplemented
391#121×C89C2314yescomplemented
392#121×C89C2318yescomplemented
393#121×C89C2318yescomplemented
394#121×C89C2318yescomplemented
395#121×C89C2318yescomplemented
396#121×C89C2318yescomplemented
397#121×C89C2318yescomplemented
398#121×C89C2318yescomplemented
399#121×C89C2318yescomplemented
400#121×C89C2318yescomplemented
401#121×C89C2318yescomplemented
402#121×C89C2318yescomplemented
403#121×C89C2318yescomplemented
404#121×C89C2318yescomplemented
405#121×C89C2318yescomplemented
406#120×C89C2314yes—
407#120×C89C2318yes—
408#120×C89C2314yes—
409#120×C89C2314yes—
410#120×C89C2314yes—
411#120×C89C2318yes—
412#120×C89C2318yes—
413#120×C89C2318yes—
414#120×C89C2318yes—
415#120×C89C2318yes—
416#120×C89C2318yes—
417#120×C89C2314yes—
418#120×C89C2318yescomplemented
419#120×C89C2318yescomplemented
420#120×C89C2318yescomplemented
421#120×C89C2318yescomplemented
422#120×C89C2318yescomplemented
423#120×C89C2318yescomplemented
424#120×C89C2318yescomplemented
425#120×C89C2318yescomplemented
426#120×C89C2318yescomplemented
427#120×C89C2314yescomplemented
428#120×C89C2318yescomplemented
429#120×C89C2318yescomplemented
430#120×C89C2318yescomplemented
431#120×C89C2318yescomplemented
432#120×C89C2318yescomplemented
433#120×C89C2318yescomplemented
434C4×Q8×C89C2311yescharacteristic, complemented
435C4×Q8×C89C2311yescharacteristic, complemented
436C4×Q8×C89C2312yescomplemented
437C4×Q8×C89C2311yescharacteristic, complemented
438C4×Q8×C89C2311yescharacteristic, complemented
439C4×Q8×C89C2312yescomplemented
440C4×Q8×C89C2314yescomplemented
441C4×Q8×C89C2312yescomplemented
442C4×D4×C89C2311yescharacteristic
443C4×D4×C89C2311yescharacteristic
444C4×D4×C89C2312yes—
445C4×D4×C89C2312yes—
446C4×D4×C89C2312yes—
447C4×D4×C89C2311yescharacteristic
448C4×D4×C89C2312yes—
449C4×D4×C89C2312yes—
450C4×D4×C89C2311yescharacteristic
451C4×D4×C89C2312yes—
452C4×D4×C89C2312yes—
453C4×D4×C89C2312yes—
454C4×D4×C89C2312yes—
455C4×D4×C89C2312yes—
456C4×D4×C89C2312yes—
457C4×D4×C89C2312yes—
458C4×D4×C89C2318yes—
459C4×D4×C89C2314yescomplemented
460C4×D4×C89C2312yescomplemented
461C4×D4×C89C2314yescomplemented
462C4×D4×C89C2312yescomplemented
463C4×D4×C89C2314yescomplemented
464C4×D4×C89C2311yescharacteristic, complemented
465C4×D4×C89C2311yescharacteristic, complemented
466C4×D4×C89C2314yescomplemented
467C4×D4×C89C2311yescharacteristic, complemented
468C4×D4×C89C2311yescharacteristic, complemented
469C4×D4×C89C2318yescomplemented
470C4×D4×C89C2318yescomplemented
471C4×D4×C89C2314yescomplemented
472C4×D4×C89C2314yescomplemented
473C4×D4×C89C2314yescomplemented
474C4×D4×C89C2314yescomplemented
475C4×D4×C89C2314yescomplemented
476C4×D4×C89C2314yescomplemented
477C4×D4×C89C2314yescomplemented
478C4×D4×C89C2314yescomplemented
479C4×D4×C89C2312yescomplemented
480C4×D4×C89C2314yescomplemented
481C4×D4×C89C2314yescomplemented
482C4×D4×C89C2314yescomplemented
483C4×D4×C89C2318yescomplemented
484C4×D4×C89C2318yescomplemented
485C4×D4×C89C2314yescomplemented
486C4×D4×C89C2318yescomplemented
487C4×D4×C89C2314yescomplemented
488#117×C89C2311yescharacteristic
489#117×C89C2312yes—
490#117×C89C2314yes—
491#117×C89C2311yescharacteristic
492#117×C89C2314yescomplemented
493#117×C89C2312yescomplemented
494#117×C89C2312yescomplemented
495#117×C89C2312yescomplemented
496#117×C89C2312yescomplemented
497#117×C89C2314yescomplemented
498#117×C89C2312yescomplemented
499#117×C89C2314yescomplemented
500#117×C89C2314yescomplemented
501#117×C89C2314yescomplemented
502#117×C89C2318yescomplemented
503C2×C4⋊C4×C89C2311yescharacteristic
504C2×C4⋊C4×C89C2311yescharacteristic
505C2×C4⋊C4×C89C2312yescomplemented
506C2×C4⋊C4×C89C2312yescomplemented
507C2×C4⋊C4×C89C2312yescomplemented
508C2×C4⋊C4×C89C2314yescomplemented
509C2×C22⋊C4×C89C2314yes—
510C2×C22⋊C4×C89C2312yes—
511C2×C22⋊C4×C89C2312yes—
512C2×C22⋊C4×C89C2318yes—
513C2×C22⋊C4×C89C2314yes—
514C2×C22⋊C4×C89C2314yescomplemented
515C2×C22⋊C4×C89C2318yescomplemented
516C2×C22⋊C4×C89C2318yescomplemented
517C2×C22⋊C4×C89C2318yescomplemented
518C2×C22⋊C4×C89C2318yescomplemented
519C2×C22⋊C4×C89C2318yescomplemented
520C2×C42×C89C2311yescharacteristic
521C2×C42×C89C2314yescomplemented
522C2×C42×C89C2312yescomplemented
523C2×C42×C89C2312yescomplemented
524C24×C89—48no—
525C24×C89—48no—
526C24×C89—84no—
527C24×C89C2412yes—
528C24×C89C2414yes—
529C24×C89C2412yes—
530C24×C89C2418yes—
531C24×C89C2414yes—
532C24×C89C2418yes—
533C24×C89C2418yes—
534#41×C89—28no—
535#41×C89—24no—
536#41×C89—28no—
537#41×C89—24no—
538#41×C89—48no—
539#41×C89—48no—
540#41×C89—48no—
541#41×C89—416no—
542#41×C89—44no—
543#41×C89—44no—
544#41×C89—48no—
545#41×C89—48no—
546#41×C89—48no—
547#41×C89—48no—
548#41×C89—84no—
549C2×Q8×C89—44no—
550C2×Q8×C89C2412yes—
551C2×Q8×C89C2411yescharacteristic
552C2×Q8×C89C2411yescharacteristic
553C2×Q8×C89C2412yes—
554C2×Q8×C89C2412yes—
555C2×Q8×C89C2414yes—
556C2×Q8×C89C2414yes—
557C2×D4×C89—24no—
558C2×D4×C89—216no—
559C2×D4×C89—28no—
560C2×D4×C89—24no—
561C2×D4×C89—28no—
562C2×D4×C89—48no—
563C2×D4×C89—48no—
564C2×D4×C89—48no—
565C2×D4×C89—48no—
566C2×D4×C89—44no—
567C2×D4×C89—48no—
568C2×D4×C89—44no—
569C2×D4×C89—48no—
570C2×D4×C89—48no—
571C2×D4×C89—48no—
572C2×D4×C89—48no—
573C2×D4×C89—416no—
574C2×D4×C89—416no—
575C2×D4×C89—48no—
576C2×D4×C89—48no—
577C2×D4×C89—416no—
578C2×D4×C89—416no—
579C2×D4×C89—416no—
580C2×D4×C89—82no—
581C2×D4×C89—84no—
582C2×D4×C89—88no—
583C2×D4×C89—88no—
584C2×D4×C89C2412yes—
585C2×D4×C89C2414yes—
586C2×D4×C89C2412yes—
587C2×D4×C89C2412yes—
588C2×D4×C89C2412yes—
589C2×D4×C89C2411yescharacteristic
590C2×D4×C89C2412yes—
591C2×D4×C89C2418yes—
592C2×D4×C89C2414yes—
593C2×D4×C89C2414yes—
594C2×D4×C89C2414yes—
595C2×D4×C89C2414yes—
596C2×D4×C89C2414yes—
597C2×D4×C89C2412yes—
598C2×D4×C89C2411yescharacteristic
599C2×D4×C89C2412yes—
600C2×D4×C89C2411yescharacteristic
601C2×D4×C89C2414yes—
602C2×D4×C89C2414yes—
603C2×D4×C89C2414yes—
604C2×D4×C89C2414yes—
605C2×D4×C89C2414yes—
606C2×D4×C89C2418yes—
607C2×D4×C89C2418yes—
608C2×D4×C89C2414yes—
609C2×D4×C89C2418yes—
610C2×D4×C89C2412yes—
611C2×D4×C89C2418yes—
612C2×D4×C89C2418yes—
613C2×D4×C89C2418yes—
614C2×D4×C89C2414yes—
615C2×D4×C89C2414yes—
616C2×D4×C89C2418yes—
617C2×D4×C89C2414yes—
618C2×D4×C89C2418yes—
619C2×D4×C89C2418yes—
620C2×D4×C89C2414yes—
621C2×D4×C89C2418yes—
622C2×D4×C89C2418yes—
623C2×D4×C89C2414yes—
624C2×D4×C89C2414yes—
625C2×D4×C89C2414yes—
626C2×D4×C89C2411yescharacteristic
627C22×C4×C89—28no—
628C22×C4×C89—44no—
629C22×C4×C89—48no—
630C22×C4×C89C2411yescharacteristic
631C22×C4×C89C2412yes—
632C22×C4×C89C2414yes—
633C22×C4×C89C2412yes—
634C22×C4×C89C2412yes—
635C22×C4×C89C2412yes—
636C22×C4×C89C2412yes—
637C22×C4×C89C2412yes—
638C22×C4×C89C2412yes—
639C22×C4×C89C2414yes—
640C22×C4×C89C2412yes—
641C22×C4×C89C2412yes—
642C22×C4×C89C2414yes—
643C22×C4×C89C2411yescharacteristic
644C22×C4×C89C2414yes—
645C22×C4×C89C2412yes—
646C22×C4×C89C2412yes—
647C22×C4×C89C2412yes—
648C22×C4×C89C2418yes—
649C22×C4×C89C2418yes—
650C22×C4×C89C2414yes—
651C22×C4×C89C2418yes—
652C22×C4×C89C2414yes—
653C22×C4×C89C2418yes—
654C22×C4×C89C2414yes—
655C22×C4×C89C2414yes—
656C22×C4×C89C2411yescharacteristic
657C4⋊C4×C89C2412yes—
658C4⋊C4×C89C2411yescharacteristic
659C4⋊C4×C89C2411yescharacteristic
660C4⋊C4×C89C2412yes—
661C4⋊C4×C89C2412yes—
662C4⋊C4×C89C2412yes—
663C4⋊C4×C89C2411yescharacteristic
664C4⋊C4×C89C2411yescharacteristic
665C4⋊C4×C89C2412yes—
666C4⋊C4×C89C2414yes—
667C4⋊C4×C89C2414yes—
668C4⋊C4×C89C2412yes—
669C4⋊C4×C89C2418yes—
670C4⋊C4×C89C2414yes—
671C4⋊C4×C89C2411yescharacteristic
672C4⋊C4×C89C2411yescharacteristic
673C4⋊C4×C89C2412yes—
674C4⋊C4×C89C2414yes—
675C4⋊C4×C89C2414yes—
676C4⋊C4×C89C2412yes—
677C4⋊C4×C89C2412yes—
678C4⋊C4×C89C2412yes—
679C4⋊C4×C89C2412yes—
680C4⋊C4×C89C2414yes—
681C4⋊C4×C89C2414yes—
682C4⋊C4×C89C2414yes—
683C4⋊C4×C89C2414yes—
684C4⋊C4×C89C2412yes—
685C4⋊C4×C89C2414yes—
686C4⋊C4×C89C2414yes—
687C4⋊C4×C89C2414yes—
688C4⋊C4×C89C2412yes—
689C22⋊C4×C89C2412yes—
690C22⋊C4×C89C2414yes—
691C22⋊C4×C89C2412yes—
692C22⋊C4×C89C2412yes—
693C22⋊C4×C89C2418yes—
694C22⋊C4×C89C2412yes—
695C22⋊C4×C89C2414yes—
696C22⋊C4×C89C2414yes—
697C22⋊C4×C89C2418yes—
698C22⋊C4×C89C2414yes—
699C22⋊C4×C89C2412yes—
700C22⋊C4×C89C2412yes—
701C22⋊C4×C89C2414yes—
702C22⋊C4×C89C2418yes—
703C22⋊C4×C89C2418yes—
704C22⋊C4×C89C2414yes—
705C22⋊C4×C89C2414yes—
706C22⋊C4×C89C2414yes—
707C22⋊C4×C89C2418yes—
708C22⋊C4×C89C2414yes—
709C22⋊C4×C89C2414yes—
710C22⋊C4×C89C2418yes—
711C22⋊C4×C89C2414yes—
712C22⋊C4×C89C2414yes—
713C22⋊C4×C89C2414yes—
714C22⋊C4×C89C2418yes—
715C22⋊C4×C89C2414yes—
716C22⋊C4×C89C2414yes—
717C22⋊C4×C89C2418yes—
718C22⋊C4×C89C2418yes—
719C22⋊C4×C89C2418yes—
720C22⋊C4×C89C2414yes—
721C22⋊C4×C89C2414yes—
722C22⋊C4×C89C2412yes—
723C22⋊C4×C89C2412yes—
724C22⋊C4×C89C2412yes—
725C22⋊C4×C89C2418yes—
726C22⋊C4×C89C2412yes—
727C22⋊C4×C89C2414yes—
728C22⋊C4×C89C2414yes—
729C22⋊C4×C89C2414yes—
730C22⋊C4×C89C2414yes—
731C42×C89C2411yescharacteristic
732C42×C89C2411yescharacteristic
733C42×C89C2411yescharacteristic
734C42×C89C2411yescharacteristic
735C42×C89C2412yes—
736C42×C89C2414yes—
737C42×C89C2412yes—
738C42×C89C2414yes—
739C42×C89C2414yes—
740C42×C89C2412yes—
741C42×C89C2412yes—
742C42×C89C2412yes—
743C42×C89C2412yes—
744C42×C89C2418yes—
745C23×C89—24no—
746C23×C89—24no—
747C23×C89—24no—
748C23×C89—28no—
749C23×C89—216no—
750C23×C89—28no—
751C23×C89—42no—
752C23×C89—42no—
753C23×C89—42no—
754C23×C89—44no—
755C23×C89—48no—
756C23×C89—44no—
757C23×C89—48no—
758C23×C89—48no—
759C23×C89—44no—
760C23×C89—48no—
761C23×C89—44no—
762C23×C89—48no—
763C23×C89—48no—
764C23×C89—48no—
765C23×C89—48no—
766C23×C89—832no—
767C23×C89C2512yes—
768C23×C89C2514yes—
769C23×C89C2512yes—
770C23×C89C2518yes—
771C23×C89C2514yes—
772C23×C89C2512yes—
773C23×C89C2511yescharacteristic
774C23×C89C2512yes—
775Q8×C89—22no—
776Q8×C89—24no—
777Q8×C89—22no—
778Q8×C89—24no—
779Q8×C89—44no—
780Q8×C89—44no—
781Q8×C89—42no—
782D4×C89—24no—
783D4×C89—216no—
784D4×C89—28no—
785D4×C89—24no—
786D4×C89—28no—
787D4×C89—28no—
788D4×C89—24no—
789D4×C89—24no—
790D4×C89—22no—
791D4×C89—24no—
792D4×C89—28no—
793D4×C89—28no—
794D4×C89—28no—
795D4×C89—24no—
796D4×C89—22no—
797D4×C89—24no—
798D4×C89—22no—
799D4×C89—48no—
800D4×C89—48no—
801D4×C89—44no—
802D4×C89—48no—
803D4×C89—44no—
804D4×C89—48no—
805D4×C89—44no—
806D4×C89—44no—
807D4×C89—48no—
808D4×C89—48no—
809D4×C89—48no—
810D4×C89—48no—
811D4×C89—44no—
812D4×C89—44no—
813D4×C89—44no—
814D4×C89—44no—
815D4×C89—44no—
816D4×C89—44no—
817D4×C89—44no—
818D4×C89—48no—
819D4×C89—42no—
820D4×C89—44no—
821D4×C89—48no—
822D4×C89—48no—
823D4×C89—44no—
824D4×C89H(5,𝔽2)14yescomplemented
825C2×C4×C89—24no—
826C2×C4×C89—28no—
827C2×C4×C89—24no—
828C2×C4×C89—24no—
829C2×C4×C89—24no—
830C2×C4×C89—24no—
831C2×C4×C89—22no—
832C2×C4×C89—24no—
833C2×C4×C89—28no—
834C2×C4×C89—28no—
835C2×C4×C89—24no—
836C2×C4×C89—24no—
837C2×C4×C89—24no—
838C2×C4×C89—44no—
839C2×C4×C89—42no—
840C2×C4×C89—44no—
841C2×C4×C89—44no—
842C2×C4×C89—44no—
843C2×C4×C89—48no—
844C2×C4×C89—48no—
845C2×C4×C89—48no—
846C2×C4×C89—42no—
847C2×C4×C89—44no—
848C2×C4×C89—41no—
849C2×C4×C89—48no—
850C2×C4×C89—42no—
851C2×C4×C89H(5,𝔽2)14yescomplemented
852C2×C4×C89C2511yescharacteristic
853C2×C4×C89C2514yes—
854C2×C4×C89C2511yescharacteristic
855C2×C4×C89C2512yes—
856C2×C4×C89C2512yes—
857C2×C4×C89C2512yes—
858C2×C4×C89C2512yes—
859C2×C4×C89C2512yes—
860C2×C4×C89C2512yes—
861C2×C4×C89C2514yes—
862C2×C4×C89C2514yes—
863C2×C4×C89C2514yes—
864C2×C4×C89C2512yes—
865C2×C4×C89C2511yescharacteristic
866C2×C4×C89C2512yes—
867C2×C4×C89C2511yescharacteristic
868C2×C4×C89C2511yescharacteristic
869C2×C4×C89C2511yescharacteristic
870C22×C89—22no—
871C22×C89—21no—
872C22×C89—22no—
873C22×C89—21no—
874C22×C89—22no—
875C22×C89—22no—
876C22×C89—24no—
877C22×C89—24no—
878C22×C89—22no—
879C22×C89—22no—
880C22×C89—22no—
881C22×C89—24no—
882C22×C89—28no—
883C22×C89—28no—
884C22×C89—22no—
885C22×C89—24no—
886C22×C89—22no—
887C22×C89—28no—
888C22×C89—22no—
889C22×C89—24no—
890C22×C89—22no—
891C22×C89—24no—
892C22×C89—48no—
893C22×C89—48no—
894C22×C89—88no—
895C22×C89—88no—
896C22×C89—816no—
897C22×C89—816no—
898C22×C89—168no—
899C22×C89C2×H(5,𝔽2)12yes—
900C22×C89C2×H(5,𝔽2)14yes—
901C22×C89C2611yescharacteristic
902C4×C89—22no—
903C4×C89—22no—
904C4×C89—22no—
905C4×C89—21no—
906C4×C89—24no—
907C4×C89—22no—
908C4×C89—24no—
909C4×C89—22no—
910C4×C89—24no—
911C4×C89—22no—
912C4×C89—22no—
913C4×C89—21no—
914C4×C89—22no—
915C4×C89—24no—
916C4×C89—21no—
917C4×C89C2×H(5,𝔽2)12yes—
918C4×C89C2×H(5,𝔽2)12yes—
919C4×C89C2×H(5,𝔽2)12yes—
920#62912C8911yesmaximal, characteristic, direct product factor, Sylow
921C2×C89—22no—
922C2×C89—24no—
923C2×C89—42no—
924C2×C89—44no—
925C2×C89—42no—
926C2×C89—48no—
927C2×C89—44no—
928C2×C89—42no—
929C2×C89C22×H(5,𝔽2)11yescharacteristic
930C2×C89C22×H(5,𝔽2)11yescharacteristic
931C2×C89H(7,𝔽2)11yescharacteristic
932#3558C2×C8914yescomplemented
933#3549C2×C8912yescomplemented
934#3546C2×C8912yescomplemented
935#3546C2×C8912yescomplemented
936#3543C2×C8914yescomplemented
937#3543C2×C8912yescomplemented
938#3542C2×C8914yescomplemented
939#3542C2×C8914yescomplemented
940#3537C2×C8914yescomplemented
941#3532C2×C8918yescomplemented
942#3519C2×C8912yescomplemented
943#3514C2×C8912yescomplemented
944#3508C2×C8911yescharacteristic, complemented
945#3506C2×C8911yescharacteristic, complemented
946#3498C2×C8911yescharacteristic, complemented
947#3498C2×C8912yescomplemented
948#3496C2×C8912yescomplemented
949#3494C2×C8912yescomplemented
950#3488C2×C8912yescomplemented
951#3484C2×C8912yescomplemented
952#3484C2×C8914yescomplemented
953#3475C2×C8911yescharacteristic, complemented
954D4×#41C2×C8911yescharacteristic, complemented
955C2×D42C2×C8911yescharacteristic, complemented
956#3460C2×C8911yescharacteristic, complemented
957C2×#535C2×C8912yescomplemented
958C89#6291211yescharacteristic, direct product factor, Sylow
959C2×H(5,𝔽2)C22×C8912yescomplemented
960C2×H(5,𝔽2)C22×C8914yescomplemented
961C22×#41C22×C8912yescomplemented
962C23×D4C22×C8912yescomplemented
963C23×D4C22×C8912yescomplemented
964#562C22×C8918yescomplemented
965H(3,𝔽4)C22×C8918yescomplemented
966#560C22×C8918yescomplemented
967#560C22×C8918yescomplemented
968#560C22×C8918yescomplemented
969#560C22×C8918yescomplemented
970#559C22×C8914yescomplemented
971#559C22×C8912yescomplemented
972#559C22×C8912yescomplemented
973#556C22×C8911yescharacteristic, complemented
974#556C22×C8912yescomplemented
975#555C22×C8911yescharacteristic, complemented
976#555C22×C8912yescomplemented
977#555C22×C8914yescomplemented
978#555C22×C8914yescomplemented
979#554C22×C8911yescharacteristic, complemented
980#553C22×C8912yescomplemented
981#553C22×C8914yescomplemented
982#553C22×C8914yescomplemented
983#553C22×C8914yescomplemented
984#553C22×C8914yescomplemented
985#552C22×C8912yescomplemented
986#552C22×C8912yescomplemented
987#551C22×C8914yescomplemented
988#551C22×C8918yescomplemented
989#551C22×C8918yescomplemented
990#550C22×C8911yescharacteristic, complemented
991#550C22×C8912yescomplemented
992#550C22×C8914yescomplemented
993#550C22×C8914yescomplemented
994#550C22×C8912yescomplemented
995#550C22×C8912yescomplemented
996#550C22×C8912yescomplemented
997#550C22×C8912yescomplemented
998D4×Q8C22×C8911yescharacteristic, complemented
999#548C22×C8912yescomplemented
1000#548C22×C8914yescomplemented
1001#547C22×C8912yescomplemented
1002#547C22×C8911yescharacteristic, complemented
1003#547C22×C8912yescomplemented
1004#547C22×C8911yescharacteristic, complemented
1005#547C22×C8914yescomplemented
1006#546C22×C8912yescomplemented
1007#546C22×C8918yescomplemented
1008#546C22×C8914yescomplemented
1009#546C22×C8914yescomplemented
1010#546C22×C8914yescomplemented
1011#546C22×C8918yescomplemented
1012#546C22×C8912yescomplemented
1013#546C22×C8914yescomplemented
1014#546C22×C8918yescomplemented
1015#546C22×C8918yescomplemented
1016#546C22×C8918yescomplemented
1017#546C22×C8914yescomplemented
1018#546C22×C8914yescomplemented
1019#546C22×C8914yescomplemented
1020#546C22×C8914yescomplemented
1021#546C22×C8914yescomplemented
1022#546C22×C8914yescomplemented
1023#546C22×C8914yescomplemented
1024D42C22×C8912yescomplemented
1025D42C22×C8912yescomplemented
1026D42C22×C8914yescomplemented
1027D42C22×C8912yescomplemented
1028D42C22×C8914yescomplemented
1029D42C22×C8912yescomplemented
1030D42C22×C8912yescomplemented
1031D42C22×C8918yescomplemented
1032D42C22×C8914yescomplemented
1033D42C22×C8914yescomplemented
1034D42C22×C8911yescharacteristic, complemented
1035D42C22×C8914yescomplemented
1036D42C22×C8918yescomplemented
1037D42C22×C8918yescomplemented
1038D42C22×C8914yescomplemented
1039D42C22×C8914yescomplemented
1040D42C22×C8914yescomplemented
1041D42C22×C8914yescomplemented
1042D42C22×C8914yescomplemented
1043D42C22×C8914yescomplemented
1044D42C22×C8912yescomplemented
1045D42C22×C8912yescomplemented
1046#544C22×C8911yescharacteristic, complemented
1047#542C22×C8912yescomplemented
1048#542C22×C8912yescomplemented
1049#542C22×C8914yescomplemented
1050#542C22×C8914yescomplemented
1051#540C22×C8912yescomplemented
1052#540C22×C8912yescomplemented
1053#540C22×C8914yescomplemented
1054#540C22×C8914yescomplemented
1055#540C22×C8918yescomplemented
1056#540C22×C8914yescomplemented
1057#538C22×C8914yescomplemented
1058#538C22×C8914yescomplemented
1059#538C22×C8918yescomplemented
1060#538C22×C8918yescomplemented
1061#538C22×C8918yescomplemented
1062#538C22×C8918yescomplemented
1063#538C22×C8918yescomplemented
1064#537C22×C8911yescharacteristic, complemented
1065#537C22×C8914yescomplemented
1066#537C22×C8914yescomplemented
1067#535C22×C8911yescharacteristic, complemented
1068#535C22×C8912yescomplemented
1069#535C22×C8911yescharacteristic, complemented
1070#535C22×C8912yescomplemented
1071#535C22×C8912yescomplemented
1072#535C22×C8918yescomplemented
1073#535C22×C8918yescomplemented
1074#535C22×C8918yescomplemented
1075#535C22×C8914yescomplemented
1076#535C22×C8914yescomplemented
1077#535C22×C8914yescomplemented
1078#535C22×C8914yescomplemented
1079#535C22×C8914yescomplemented
1080#535C22×C8914yescomplemented
1081#535C22×C8914yescomplemented
1082#535C22×C8914yescomplemented
1083#535C22×C8914yescomplemented
1084#534C22×C8918yescomplemented
1085#534C22×C8918yescomplemented
1086#534C22×C8918yescomplemented
1087#534C22×C8918yescomplemented
1088#534C22×C8918yescomplemented
1089#533C22×C8911yescharacteristic, complemented
1090#532C22×C8911yescharacteristic, complemented
1091#532C22×C8912yescomplemented
1092#532C22×C8912yescomplemented
1093#532C22×C8912yescomplemented
1094#532C22×C8914yescomplemented
1095#532C22×C8912yescomplemented
1096#532C22×C8912yescomplemented
1097#532C22×C8912yescomplemented
1098C2×#127C22×C8911yescharacteristic, complemented
1099C2×#127C22×C8914yescomplemented
1100C2×#127C22×C8912yescomplemented
1101#529C22×C8914yescomplemented
1102#529C22×C8912yescomplemented
1103#529C22×C8912yescomplemented
1104#529C22×C8912yescomplemented
1105#529C22×C8914yescomplemented
1106C2×#124C22×C8914yescomplemented
1107#525C22×C8912yescomplemented
1108#525C22×C8912yescomplemented
1109#525C22×C8914yescomplemented
1110#525C22×C8914yescomplemented
1111#525C22×C8914yescomplemented
1112#525C22×C8914yescomplemented
1113C2×#121C22×C8912yescomplemented
1114C2×#121C22×C8912yescomplemented
1115C2×#121C22×C8914yescomplemented
1116C2×#121C22×C8914yescomplemented
1117C2×#121C22×C8914yescomplemented
1118C2×#120C22×C8914yescomplemented
1119C2×#120C22×C8918yescomplemented
1120C2×#120C22×C8918yescomplemented
1121#520C22×C8912yescomplemented
1122#518C22×C8912yescomplemented
1123#518C22×C8914yescomplemented
1124C4×#41C22×C8911yescharacteristic, complemented
1125C4×#41C22×C8911yescharacteristic, complemented
1126C4×#41C22×C8912yescomplemented
1127C2×C4×D4C22×C8911yescharacteristic, complemented
1128C2×C4×D4C22×C8911yescharacteristic, complemented
1129C2×C4×D4C22×C8912yescomplemented
1130C2×#117C22×C8912yescomplemented
1131C25C23×C8914yes—
1132H(5,𝔽2)—416no—
1133H(5,𝔽2)—48no—
1134C2×#41—48no—
1135C2×#41C23×C8911yescharacteristic
1136C2×#41C23×C8911yescharacteristic
1137C2×#41C23×C8912yes—
1138C2×#41C23×C8912yes—
1139C2×#41C23×C8914yes—
1140C2×#41C23×C8914yescomplemented
1141C2×#41C23×C8914yescomplemented
1142C2×#41C23×C8914yescomplemented
1143C2×#41C23×C8914yescomplemented
1144C2×#41C23×C8918yescomplemented
1145C2×#41C23×C8914yescomplemented
1146C2×#41C23×C8914yescomplemented
1147C2×#41C23×C8912yescomplemented
1148C2×#41C23×C8912yescomplemented
1149C2×#41C23×C8914yescomplemented
1150C22×Q8C23×C8912yescomplemented
1151C22×D4—48no—
1152C22×D4—48no—
1153C22×D4C23×C8911yescharacteristic
1154C22×D4C23×C8912yes—
1155C22×D4C23×C8911yescharacteristic
1156C22×D4C23×C8912yes—
1157C22×D4C23×C8914yes—
1158C22×D4C23×C8914yes—
1159C22×D4C23×C8914yes—
1160C22×D4C23×C8914yes—
1161C22×D4C23×C8918yes—
1162C22×D4C23×C8914yes—
1163C22×D4C23×C8912yes—
1164C22×D4C23×C8914yes—
1165C22×D4C23×C8918yes—
1166C22×D4C23×C8914yes—
1167C22×D4C23×C8914yes—
1168C22×D4C23×C8914yes—
1169C22×D4C23×C8912yes—
1170C22×D4C23×C8918yescomplemented
1171C22×D4C23×C8918yescomplemented
1172C22×D4C23×C8918yescomplemented
1173C22×D4C23×C8914yescomplemented
1174C22×D4C23×C8912yescomplemented
1175C22×D4C23×C8914yescomplemented
1176C22×D4C23×C8914yescomplemented
1177C22×D4C23×C8918yescomplemented
1178C22×D4C23×C8918yescomplemented
1179C22×D4C23×C8914yescomplemented
1180C23×C4C23×C8912yes—
1181C23×C4C23×C8912yes—
1182C23×C4C23×C8914yescomplemented
1183C4⋊Q8C23×C8912yescomplemented
1184C4⋊Q8C23×C8911yescharacteristic, complemented
1185C4⋊Q8C23×C8911yescharacteristic, complemented
1186C4⋊Q8C23×C8911yescharacteristic, complemented
1187C4⋊Q8C23×C8912yescomplemented
1188C4⋊Q8C23×C8912yescomplemented
1189#127C23×C8912yes—
1190#127C23×C8912yes—
1191#127C23×C8912yes—
1192#127C23×C8912yes—
1193#127C23×C8914yes—
1194#127C23×C8912yes—
1195#127C23×C8912yes—
1196#127C23×C8912yes—
1197#127C23×C8914yescomplemented
1198#127C23×C8911yescharacteristic, complemented
1199#127C23×C8918yescomplemented
1200#127C23×C8914yescomplemented
1201#127C23×C8918yescomplemented
1202#127C23×C8914yescomplemented
1203#127C23×C8914yescomplemented
1204#127C23×C8918yescomplemented
1205#126C23×C8914yescomplemented
1206#126C23×C8914yescomplemented
1207#126C23×C8914yescomplemented
1208#126C23×C8914yescomplemented
1209#126C23×C8914yescomplemented
1210#126C23×C8918yescomplemented
1211#126C23×C8918yescomplemented
1212#126C23×C8918yescomplemented
1213#125C23×C8912yescomplemented
1214#125C23×C8914yescomplemented
1215#125C23×C8912yescomplemented
1216#125C23×C8912yescomplemented
1217#125C23×C8912yescomplemented
1218#124C23×C8912yes—
1219#124C23×C8914yes—
1220#124C23×C8912yes—
1221#124C23×C8912yes—
1222#124C23×C8914yescomplemented
1223#124C23×C8918yescomplemented
1224#124C23×C8914yescomplemented
1225#124C23×C8918yescomplemented
1226#124C23×C8914yescomplemented
1227#124C23×C8914yescomplemented
1228#124C23×C8912yescomplemented
1229#124C23×C8918yescomplemented
1230#124C23×C8914yescomplemented
1231#124C23×C8914yescomplemented
1232#124C23×C8914yescomplemented
1233#124C23×C8914yescomplemented
1234#124C23×C8918yescomplemented
1235#124C23×C8918yescomplemented
1236#124C23×C8918yescomplemented
1237#123C23×C8914yes—
1238#123C23×C8914yes—
1239#123C23×C8914yes—
1240#123C23×C8914yescomplemented
1241#123C23×C8914yescomplemented
1242#123C23×C8918yescomplemented
1243#123C23×C8914yescomplemented
1244#123C23×C8918yescomplemented
1245#123C23×C8914yescomplemented
1246#123C23×C8914yescomplemented
1247#123C23×C8914yescomplemented
1248#123C23×C8918yescomplemented
1249#123C23×C8914yescomplemented
1250#123C23×C8914yescomplemented
1251#123C23×C8918yescomplemented
1252#123C23×C8918yescomplemented
1253#123C23×C8918yescomplemented
1254#123C23×C8918yescomplemented
1255#123C23×C8918yescomplemented
1256#123C23×C8918yescomplemented
1257#123C23×C8918yescomplemented
1258#123C23×C8918yescomplemented
1259C22⋊Q8C23×C8912yes—
1260C22⋊Q8C23×C8914yes—
1261C22⋊Q8C23×C8912yes—
1262C22⋊Q8C23×C8912yescomplemented
1263C22⋊Q8C23×C8912yescomplemented
1264C22⋊Q8C23×C8912yescomplemented
1265C22⋊Q8C23×C8912yescomplemented
1266C22⋊Q8C23×C8914yescomplemented
1267C22⋊Q8C23×C8914yescomplemented
1268C22⋊Q8C23×C8914yescomplemented
1269C22⋊Q8C23×C8912yescomplemented
1270C22⋊Q8C23×C8914yescomplemented
1271C22⋊Q8C23×C8912yescomplemented
1272C22⋊Q8C23×C8912yescomplemented
1273C22⋊Q8C23×C8914yescomplemented
1274C22⋊Q8C23×C8918yescomplemented
1275C22⋊Q8C23×C8918yescomplemented
1276#121C23×C8914yes—
1277#121C23×C8912yes—
1278#121C23×C8912yes—
1279#121C23×C8914yes—
1280#121C23×C8914yes—
1281#121C23×C8914yes—
1282#121C23×C8914yes—
1283#121C23×C8914yes—
1284#121C23×C8914yes—
1285#121C23×C8918yes—
1286#121C23×C8914yes—
1287#121C23×C8912yes—
1288#121C23×C8914yes—
1289#121C23×C8914yes—
1290#121C23×C8914yes—
1291#121C23×C8912yes—
1292#121C23×C8912yes—
1293#121C23×C8912yes—
1294#121C23×C8912yes—
1295#121C23×C8912yes—
1296#121C23×C8912yescomplemented
1297#121C23×C8914yescomplemented
1298#121C23×C8912yescomplemented
1299#121C23×C8914yescomplemented
1300#121C23×C8918yescomplemented
1301#121C23×C8918yescomplemented
1302#121C23×C8918yescomplemented
1303#121C23×C8918yescomplemented
1304#121C23×C8914yescomplemented
1305#121C23×C8914yescomplemented
1306#121C23×C8918yescomplemented
1307#121C23×C8918yescomplemented
1308#121C23×C8912yescomplemented
1309#121C23×C8914yescomplemented
1310#121C23×C8912yescomplemented
1311#121C23×C8914yescomplemented
1312#121C23×C8912yescomplemented
1313#121C23×C8914yescomplemented
1314#121C23×C8914yescomplemented
1315#121C23×C8914yescomplemented
1316#121C23×C8918yescomplemented
1317#121C23×C8914yescomplemented
1318#121C23×C8912yescomplemented
1319#121C23×C8914yescomplemented
1320#121C23×C8914yescomplemented
1321#121C23×C8912yescomplemented
1322#121C23×C8914yescomplemented
1323#121C23×C8914yescomplemented
1324#121C23×C8918yescomplemented
1325#121C23×C8918yescomplemented
1326#121C23×C8918yescomplemented
1327#121C23×C8918yescomplemented
1328#121C23×C8918yescomplemented
1329#121C23×C8918yescomplemented
1330#121C23×C8918yescomplemented
1331#121C23×C8918yescomplemented
1332#121C23×C8918yescomplemented
1333#121C23×C8918yescomplemented
1334#121C23×C8918yescomplemented
1335#121C23×C8918yescomplemented
1336#121C23×C8918yescomplemented
1337#121C23×C8918yescomplemented
1338#120C23×C8914yes—
1339#120C23×C8918yes—
1340#120C23×C8914yes—
1341#120C23×C8914yes—
1342#120C23×C8914yes—
1343#120C23×C8918yes—
1344#120C23×C8918yes—
1345#120C23×C8918yes—
1346#120C23×C8918yes—
1347#120C23×C8918yes—
1348#120C23×C8918yes—
1349#120C23×C8914yes—
1350#120C23×C8918yescomplemented
1351#120C23×C8918yescomplemented
1352#120C23×C8918yescomplemented
1353#120C23×C8918yescomplemented
1354#120C23×C8918yescomplemented
1355#120C23×C8918yescomplemented
1356#120C23×C8918yescomplemented
1357#120C23×C8918yescomplemented
1358#120C23×C8918yescomplemented
1359#120C23×C8914yescomplemented
1360#120C23×C8918yescomplemented
1361#120C23×C8918yescomplemented
1362#120C23×C8918yescomplemented
1363#120C23×C8918yescomplemented
1364#120C23×C8918yescomplemented
1365#120C23×C8918yescomplemented
1366C4×Q8C23×C8911yescharacteristic, complemented
1367C4×Q8C23×C8911yescharacteristic, complemented
1368C4×Q8C23×C8912yescomplemented
1369C4×Q8C23×C8911yescharacteristic, complemented
1370C4×Q8C23×C8911yescharacteristic, complemented
1371C4×Q8C23×C8912yescomplemented
1372C4×Q8C23×C8914yescomplemented
1373C4×Q8C23×C8912yescomplemented
1374C4×D4C23×C8911yescharacteristic
1375C4×D4C23×C8911yescharacteristic
1376C4×D4C23×C8912yes—
1377C4×D4C23×C8912yes—
1378C4×D4C23×C8912yes—
1379C4×D4C23×C8911yescharacteristic
1380C4×D4C23×C8912yes—
1381C4×D4C23×C8912yes—
1382C4×D4C23×C8911yescharacteristic
1383C4×D4C23×C8912yes—
1384C4×D4C23×C8912yes—
1385C4×D4C23×C8912yes—
1386C4×D4C23×C8912yes—
1387C4×D4C23×C8912yes—
1388C4×D4C23×C8912yes—
1389C4×D4C23×C8912yes—
1390C4×D4C23×C8918yes—
1391C4×D4C23×C8914yescomplemented
1392C4×D4C23×C8912yescomplemented
1393C4×D4C23×C8914yescomplemented
1394C4×D4C23×C8912yescomplemented
1395C4×D4C23×C8914yescomplemented
1396C4×D4C23×C8911yescharacteristic, complemented
1397C4×D4C23×C8911yescharacteristic, complemented
1398C4×D4C23×C8914yescomplemented
1399C4×D4C23×C8911yescharacteristic, complemented
1400C4×D4C23×C8911yescharacteristic, complemented
1401C4×D4C23×C8918yescomplemented
1402C4×D4C23×C8918yescomplemented
1403C4×D4C23×C8914yescomplemented
1404C4×D4C23×C8914yescomplemented
1405C4×D4C23×C8914yescomplemented
1406C4×D4C23×C8914yescomplemented
1407C4×D4C23×C8914yescomplemented
1408C4×D4C23×C8914yescomplemented
1409C4×D4C23×C8914yescomplemented
1410C4×D4C23×C8914yescomplemented
1411C4×D4C23×C8912yescomplemented
1412C4×D4C23×C8914yescomplemented
1413C4×D4C23×C8914yescomplemented
1414C4×D4C23×C8914yescomplemented
1415C4×D4C23×C8918yescomplemented
1416C4×D4C23×C8918yescomplemented
1417C4×D4C23×C8914yescomplemented
1418C4×D4C23×C8918yescomplemented
1419C4×D4C23×C8914yescomplemented
1420#117C23×C8911yescharacteristic
1421#117C23×C8912yes—
1422#117C23×C8914yes—
1423#117C23×C8911yescharacteristic
1424#117C23×C8914yescomplemented
1425#117C23×C8912yescomplemented
1426#117C23×C8912yescomplemented
1427#117C23×C8912yescomplemented
1428#117C23×C8912yescomplemented
1429#117C23×C8914yescomplemented
1430#117C23×C8912yescomplemented
1431#117C23×C8914yescomplemented
1432#117C23×C8914yescomplemented
1433#117C23×C8914yescomplemented
1434#117C23×C8918yescomplemented
1435C2×C4⋊C4C23×C8911yescharacteristic
1436C2×C4⋊C4C23×C8911yescharacteristic
1437C2×C4⋊C4C23×C8912yescomplemented
1438C2×C4⋊C4C23×C8912yescomplemented
1439C2×C4⋊C4C23×C8912yescomplemented
1440C2×C4⋊C4C23×C8914yescomplemented
1441C2×C22⋊C4C23×C8914yes—
1442C2×C22⋊C4C23×C8912yes—
1443C2×C22⋊C4C23×C8912yes—
1444C2×C22⋊C4C23×C8918yes—
1445C2×C22⋊C4C23×C8914yes—
1446C2×C22⋊C4C23×C8914yescomplemented
1447C2×C22⋊C4C23×C8918yescomplemented
1448C2×C22⋊C4C23×C8918yescomplemented
1449C2×C22⋊C4C23×C8918yescomplemented
1450C2×C22⋊C4C23×C8918yescomplemented
1451C2×C22⋊C4C23×C8918yescomplemented
1452C2×C42C23×C8911yescharacteristic
1453C2×C42C23×C8914yescomplemented
1454C2×C42C23×C8912yescomplemented
1455C2×C42C23×C8912yescomplemented
1456C24—48no—
1457C24—48no—
1458C24—84no—
1459C24C24×C8912yes—
1460C24C24×C8914yes—
1461C24C24×C8912yes—
1462C24C24×C8918yes—
1463C24C24×C8914yes—
1464C24C24×C8918yes—
1465C24C24×C8918yes—
1466#41—28no—
1467#41—24no—
1468#41—28no—
1469#41—24no—
1470#41—48no—
1471#41—48no—
1472#41—48no—
1473#41—416no—
1474#41—44no—
1475#41—44no—
1476#41—48no—
1477#41—48no—
1478#41—48no—
1479#41—48no—
1480#41—84no—
1481C2×Q8—44no—
1482C2×Q8C24×C8912yes—
1483C2×Q8C24×C8911yescharacteristic
1484C2×Q8C24×C8911yescharacteristic
1485C2×Q8C24×C8912yes—
1486C2×Q8C24×C8912yes—
1487C2×Q8C24×C8914yes—
1488C2×Q8C24×C8914yes—
1489C2×D4—24no—
1490C2×D4—216no—
1491C2×D4—28no—
1492C2×D4—24no—
1493C2×D4—28no—
1494C2×D4—48no—
1495C2×D4—48no—
1496C2×D4—48no—
1497C2×D4—48no—
1498C2×D4—44no—
1499C2×D4—48no—
1500C2×D4—44no—
1501C2×D4—48no—
1502C2×D4—48no—
1503C2×D4—48no—
1504C2×D4—48no—
1505C2×D4—416no—
1506C2×D4—416no—
1507C2×D4—48no—
1508C2×D4—48no—
1509C2×D4—416no—
1510C2×D4—416no—
1511C2×D4—416no—
1512C2×D4—82no—
1513C2×D4—84no—
1514C2×D4—88no—
1515C2×D4—88no—
1516C2×D4C24×C8912yes—
1517C2×D4C24×C8914yes—
1518C2×D4C24×C8912yes—
1519C2×D4C24×C8912yes—
1520C2×D4C24×C8912yes—
1521C2×D4C24×C8911yescharacteristic
1522C2×D4C24×C8912yes—
1523C2×D4C24×C8918yes—
1524C2×D4C24×C8914yes—
1525C2×D4C24×C8914yes—
1526C2×D4C24×C8914yes—
1527C2×D4C24×C8914yes—
1528C2×D4C24×C8914yes—
1529C2×D4C24×C8912yes—
1530C2×D4C24×C8911yescharacteristic
1531C2×D4C24×C8912yes—
1532C2×D4C24×C8911yescharacteristic
1533C2×D4C24×C8914yes—
1534C2×D4C24×C8914yes—
1535C2×D4C24×C8914yes—
1536C2×D4C24×C8914yes—
1537C2×D4C24×C8914yes—
1538C2×D4C24×C8918yes—
1539C2×D4C24×C8918yes—
1540C2×D4C24×C8914yes—
1541C2×D4C24×C8918yes—
1542C2×D4C24×C8912yes—
1543C2×D4C24×C8918yes—
1544C2×D4C24×C8918yes—
1545C2×D4C24×C8918yes—
1546C2×D4C24×C8914yes—
1547C2×D4C24×C8914yes—
1548C2×D4C24×C8918yes—
1549C2×D4C24×C8914yes—
1550C2×D4C24×C8918yes—
1551C2×D4C24×C8918yes—
1552C2×D4C24×C8914yes—
1553C2×D4C24×C8918yes—
1554C2×D4C24×C8918yes—
1555C2×D4C24×C8914yes—
1556C2×D4C24×C8914yes—
1557C2×D4C24×C8914yes—
1558C2×D4C24×C8911yescharacteristic
1559C22×C4—28no—
1560C22×C4—44no—
1561C22×C4—48no—
1562C22×C4C24×C8911yescharacteristic
1563C22×C4C24×C8912yes—
1564C22×C4C24×C8914yes—
1565C22×C4C24×C8912yes—
1566C22×C4C24×C8912yes—
1567C22×C4C24×C8912yes—
1568C22×C4C24×C8912yes—
1569C22×C4C24×C8912yes—
1570C22×C4C24×C8912yes—
1571C22×C4C24×C8914yes—
1572C22×C4C24×C8912yes—
1573C22×C4C24×C8912yes—
1574C22×C4C24×C8914yes—
1575C22×C4C24×C8911yescharacteristic
1576C22×C4C24×C8914yes—
1577C22×C4C24×C8912yes—
1578C22×C4C24×C8912yes—
1579C22×C4C24×C8912yes—
1580C22×C4C24×C8918yes—
1581C22×C4C24×C8918yes—
1582C22×C4C24×C8914yes—
1583C22×C4C24×C8918yes—
1584C22×C4C24×C8914yes—
1585C22×C4C24×C8918yes—
1586C22×C4C24×C8914yes—
1587C22×C4C24×C8914yes—
1588C22×C4C24×C8911yescharacteristic
1589C4⋊C4C24×C8912yes—
1590C4⋊C4C24×C8911yescharacteristic
1591C4⋊C4C24×C8911yescharacteristic
1592C4⋊C4C24×C8912yes—
1593C4⋊C4C24×C8912yes—
1594C4⋊C4C24×C8912yes—
1595C4⋊C4C24×C8911yescharacteristic
1596C4⋊C4C24×C8911yescharacteristic
1597C4⋊C4C24×C8912yes—
1598C4⋊C4C24×C8914yes—
1599C4⋊C4C24×C8914yes—
1600C4⋊C4C24×C8912yes—
1601C4⋊C4C24×C8918yes—
1602C4⋊C4C24×C8914yes—
1603C4⋊C4C24×C8911yescharacteristic
1604C4⋊C4C24×C8911yescharacteristic
1605C4⋊C4C24×C8912yes—
1606C4⋊C4C24×C8914yes—
1607C4⋊C4C24×C8914yes—
1608C4⋊C4C24×C8912yes—
1609C4⋊C4C24×C8912yes—
1610C4⋊C4C24×C8912yes—
1611C4⋊C4C24×C8912yes—
1612C4⋊C4C24×C8914yes—
1613C4⋊C4C24×C8914yes—
1614C4⋊C4C24×C8914yes—
1615C4⋊C4C24×C8914yes—
1616C4⋊C4C24×C8912yes—
1617C4⋊C4C24×C8914yes—
1618C4⋊C4C24×C8914yes—
1619C4⋊C4C24×C8914yes—
1620C4⋊C4C24×C8912yes—
1621C22⋊C4C24×C8912yes—
1622C22⋊C4C24×C8914yes—
1623C22⋊C4C24×C8912yes—
1624C22⋊C4C24×C8912yes—
1625C22⋊C4C24×C8918yes—
1626C22⋊C4C24×C8912yes—
1627C22⋊C4C24×C8914yes—
1628C22⋊C4C24×C8914yes—
1629C22⋊C4C24×C8918yes—
1630C22⋊C4C24×C8914yes—
1631C22⋊C4C24×C8912yes—
1632C22⋊C4C24×C8912yes—
1633C22⋊C4C24×C8914yes—
1634C22⋊C4C24×C8918yes—
1635C22⋊C4C24×C8918yes—
1636C22⋊C4C24×C8914yes—
1637C22⋊C4C24×C8914yes—
1638C22⋊C4C24×C8914yes—
1639C22⋊C4C24×C8918yes—
1640C22⋊C4C24×C8914yes—
1641C22⋊C4C24×C8914yes—
1642C22⋊C4C24×C8918yes—
1643C22⋊C4C24×C8914yes—
1644C22⋊C4C24×C8914yes—
1645C22⋊C4C24×C8914yes—
1646C22⋊C4C24×C8918yes—
1647C22⋊C4C24×C8914yes—
1648C22⋊C4C24×C8914yes—
1649C22⋊C4C24×C8918yes—
1650C22⋊C4C24×C8918yes—
1651C22⋊C4C24×C8918yes—
1652C22⋊C4C24×C8914yes—
1653C22⋊C4C24×C8914yes—
1654C22⋊C4C24×C8912yes—
1655C22⋊C4C24×C8912yes—
1656C22⋊C4C24×C8912yes—
1657C22⋊C4C24×C8918yes—
1658C22⋊C4C24×C8912yes—
1659C22⋊C4C24×C8914yes—
1660C22⋊C4C24×C8914yes—
1661C22⋊C4C24×C8914yes—
1662C22⋊C4C24×C8914yes—
1663C42C24×C8911yescharacteristic
1664C42C24×C8911yescharacteristic
1665C42C24×C8911yescharacteristic
1666C42C24×C8911yescharacteristic
1667C42C24×C8912yes—
1668C42C24×C8914yes—
1669C42C24×C8912yes—
1670C42C24×C8914yes—
1671C42C24×C8914yes—
1672C42C24×C8912yes—
1673C42C24×C8912yes—
1674C42C24×C8912yes—
1675C42C24×C8912yes—
1676C42C24×C8918yes—
1677C23—24no—
1678C23—24no—
1679C23—24no—
1680C23—28no—
1681C23—216no—
1682C23—28no—
1683C23—42no—
1684C23—42no—
1685C23—42no—
1686C23—44no—
1687C23—48no—
1688C23—44no—
1689C23—48no—
1690C23—48no—
1691C23—44no—
1692C23—48no—
1693C23—44no—
1694C23—48no—
1695C23—48no—
1696C23—48no—
1697C23—48no—
1698C23—832no—
1699C23C25×C8912yes—
1700C23C25×C8914yes—
1701C23C25×C8912yes—
1702C23C25×C8918yes—
1703C23C25×C8914yes—
1704C23C25×C8912yes—
1705C23C25×C8911yescharacteristic
1706C23C25×C8912yes—
1707Q8—22no—
1708Q8—24no—
1709Q8—22no—
1710Q8—24no—
1711Q8—44no—
1712Q8—44no—
1713Q8—42no—
1714D4—24no—
1715D4—216no—
1716D4—28no—
1717D4—24no—
1718D4—28no—
1719D4—28no—
1720D4—24no—
1721D4—24no—
1722D4—22no—
1723D4—24no—
1724D4—28no—
1725D4—28no—
1726D4—28no—
1727D4—24no—
1728D4—22no—
1729D4—24no—
1730D4—22no—
1731D4—48no—
1732D4—48no—
1733D4—44no—
1734D4—48no—
1735D4—44no—
1736D4—48no—
1737D4—44no—
1738D4—44no—
1739D4—48no—
1740D4—48no—
1741D4—48no—
1742D4—48no—
1743D4—44no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—48no—
1751D4—42no—
1752D4—44no—
1753D4—48no—
1754D4—48no—
1755D4—44no—
1756D4H(5,𝔽2)×C8914yescomplemented
1757C2×C4—24no—
1758C2×C4—28no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—28no—
1766C2×C4—28no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—44no—
1771C2×C4—42no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—42no—
1779C2×C4—44no—
1780C2×C4—41no—
1781C2×C4—48no—
1782C2×C4—42no—
1783C2×C4H(5,𝔽2)×C8914yescomplemented
1784C2×C4C25×C8911yescharacteristic
1785C2×C4C25×C8914yes—
1786C2×C4C25×C8911yescharacteristic
1787C2×C4C25×C8912yes—
1788C2×C4C25×C8912yes—
1789C2×C4C25×C8912yes—
1790C2×C4C25×C8912yes—
1791C2×C4C25×C8912yes—
1792C2×C4C25×C8912yes—
1793C2×C4C25×C8914yes—
1794C2×C4C25×C8914yes—
1795C2×C4C25×C8914yes—
1796C2×C4C25×C8912yes—
1797C2×C4C25×C8911yescharacteristic
1798C2×C4C25×C8912yes—
1799C2×C4C25×C8911yescharacteristic
1800C2×C4C25×C8911yescharacteristic
1801C2×C4C25×C8911yescharacteristic
1802C22—22no—
1803C22—21no—
1804C22—22no—
1805C22—21no—
1806C22—22no—
1807C22—22no—
1808C22—24no—
1809C22—24no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—24no—
1814C22—28no—
1815C22—28no—
1816C22—22no—
1817C22—24no—
1818C22—22no—
1819C22—28no—
1820C22—22no—
1821C22—24no—
1822C22—22no—
1823C22—24no—
1824C22—48no—
1825C22—48no—
1826C22—88no—
1827C22—816no—
1828C22—88no—
1829C22—816no—
1830C22—168no—
1831C22C2×H(5,𝔽2)×C8912yes—
1832C22C2×H(5,𝔽2)×C8914yes—
1833C22C26×C8911yescharacteristic
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—21no—
1838C4—24no—
1839C4—22no—
1840C4—24no—
1841C4—22no—
1842C4—24no—
1843C4—22no—
1844C4—22no—
1845C4—21no—
1846C4—22no—
1847C4—24no—
1848C4—21no—
1849C4C2×H(5,𝔽2)×C8912yes—
1850C4C2×H(5,𝔽2)×C8912yes—
1851C4C2×H(5,𝔽2)×C8912yes—
1852C2—22no—
1853C2—24no—
1854C2—42no—
1855C2—44no—
1856C2—42no—
1857C2—48no—
1858C2—44no—
1859C2—42no—
1860C2C22×H(5,𝔽2)×C8911yescharacteristic
1861C2C22×H(5,𝔽2)×C8911yescharacteristic
1862C2C89×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C89C26
commutator, Frattini, cosocleC22C26×C89
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C89 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C89×#3558C2semidirect
2. C89×#3549C2semidirect
3. C89×#3546C2semidirect
4. C89×#3546C2semidirect
5. C89×#3543C2semidirect
6. C89×#3543C2semidirect
7. C89×#3542C2semidirect
8. C89×#3542C2semidirect
9. C89×#3537C2semidirect
10. C89×#3532C2semidirect
11. C89×#3519C2semidirect
12. C89×#3514C2semidirect
13. C89×#3508C2semidirect
14. C89×#3506C2semidirect
15. C89×#3498C2semidirect
16. C89×#3498C2semidirect
17. C89×#3496C2semidirect
18. C89×#3494C2semidirect
19. C89×#3488C2semidirect
20. C89×#3484C2semidirect
21. C89×#3484C2semidirect
22. C89×#3475C2semidirect
23. D4×#41×C89C2semidirect
24. C2×D42×C89C2semidirect
25. C89×#3460C2semidirect
26. C2×#535×C89C2semidirect
27. C2×H(5,𝔽2)×C89C22semidirect
28. C2×H(5,𝔽2)×C89C22semidirect
29. C22×#41×C89C22semidirect
30. C23×D4×C89C22semidirect
31. C23×D4×C89C22semidirect
32. #562×C89C22semidirect
33. H(3,𝔽4)×C89C22semidirect
34. #560×C89C22semidirect
35. #560×C89C22semidirect
36. #560×C89C22semidirect
37. #560×C89C22semidirect
38. #559×C89C22semidirect
39. #559×C89C22semidirect
40. #559×C89C22semidirect
41. #556×C89C22semidirect
42. #556×C89C22semidirect
43. #555×C89C22semidirect
44. #555×C89C22semidirect
45. #555×C89C22semidirect
46. #555×C89C22semidirect
47. #554×C89C22semidirect
48. #553×C89C22semidirect
49. #553×C89C22semidirect
50. #553×C89C22semidirect
51. #553×C89C22semidirect
52. #553×C89C22semidirect
53. #552×C89C22semidirect
54. #552×C89C22semidirect
55. #551×C89C22semidirect
56. #551×C89C22semidirect
57. #551×C89C22semidirect
58. #550×C89C22semidirect
59. #550×C89C22semidirect
60. #550×C89C22semidirect
61. #550×C89C22semidirect
62. #550×C89C22semidirect
63. #550×C89C22semidirect
64. #550×C89C22semidirect
65. #550×C89C22semidirect
66. D4×Q8×C89C22semidirect
67. #548×C89C22semidirect
68. #548×C89C22semidirect
69. #547×C89C22semidirect
70. #547×C89C22semidirect
71. #547×C89C22semidirect
72. #547×C89C22semidirect
73. #547×C89C22semidirect
74. #546×C89C22semidirect
75. #546×C89C22semidirect
76. #546×C89C22semidirect
77. #546×C89C22semidirect
78. #546×C89C22semidirect
79. #546×C89C22semidirect
80. #546×C89C22semidirect
81. #546×C89C22semidirect
82. #546×C89C22semidirect
83. #546×C89C22semidirect
84. #546×C89C22semidirect
85. #546×C89C22semidirect
86. #546×C89C22semidirect
87. #546×C89C22semidirect
88. #546×C89C22semidirect
89. #546×C89C22semidirect
90. #546×C89C22semidirect
91. #546×C89C22semidirect
92. D42×C89C22semidirect
93. D42×C89C22semidirect
94. D42×C89C22semidirect
95. D42×C89C22semidirect
96. D42×C89C22semidirect
97. D42×C89C22semidirect
98. D42×C89C22semidirect
99. D42×C89C22semidirect
100. D42×C89C22semidirect
101. D42×C89C22semidirect
102. D42×C89C22semidirect
103. D42×C89C22semidirect
104. D42×C89C22semidirect
105. D42×C89C22semidirect
106. D42×C89C22semidirect
107. D42×C89C22semidirect
108. D42×C89C22semidirect
109. D42×C89C22semidirect
110. D42×C89C22semidirect
111. D42×C89C22semidirect
112. D42×C89C22semidirect
113. D42×C89C22semidirect
114. #544×C89C22semidirect
115. #542×C89C22semidirect
116. #542×C89C22semidirect
117. #542×C89C22semidirect
118. #542×C89C22semidirect
119. #540×C89C22semidirect
120. #540×C89C22semidirect
121. #540×C89C22semidirect
122. #540×C89C22semidirect
123. #540×C89C22semidirect
124. #540×C89C22semidirect
125. #538×C89C22semidirect
126. #538×C89C22semidirect
127. #538×C89C22semidirect
128. #538×C89C22semidirect
129. #538×C89C22semidirect
130. #538×C89C22semidirect
131. #538×C89C22semidirect
132. #537×C89C22semidirect
133. #537×C89C22semidirect
134. #537×C89C22semidirect
135. #535×C89C22semidirect
136. #535×C89C22semidirect
137. #535×C89C22semidirect
138. #535×C89C22semidirect
139. #535×C89C22semidirect
140. #535×C89C22semidirect
141. #535×C89C22semidirect
142. #535×C89C22semidirect
143. #535×C89C22semidirect
144. #535×C89C22semidirect
145. #535×C89C22semidirect
146. #535×C89C22semidirect
147. #535×C89C22semidirect
148. #535×C89C22semidirect
149. #535×C89C22semidirect
150. #535×C89C22semidirect
151. #535×C89C22semidirect
152. #534×C89C22semidirect
153. #534×C89C22semidirect
154. #534×C89C22semidirect
155. #534×C89C22semidirect
156. #534×C89C22semidirect
157. #533×C89C22semidirect
158. #532×C89C22semidirect
159. #532×C89C22semidirect
160. #532×C89C22semidirect
161. #532×C89C22semidirect
162. #532×C89C22semidirect
163. #532×C89C22semidirect
164. #532×C89C22semidirect
165. #532×C89C22semidirect
166. C2×#127×C89C22semidirect
167. C2×#127×C89C22semidirect
168. C2×#127×C89C22semidirect
169. #529×C89C22semidirect
170. #529×C89C22semidirect
171. #529×C89C22semidirect
172. #529×C89C22semidirect
173. #529×C89C22semidirect
174. C2×#124×C89C22semidirect
175. #525×C89C22semidirect
176. #525×C89C22semidirect
177. #525×C89C22semidirect
178. #525×C89C22semidirect
179. #525×C89C22semidirect
180. #525×C89C22semidirect
181. C2×#121×C89C22semidirect
182. C2×#121×C89C22semidirect
183. C2×#121×C89C22semidirect
184. C2×#121×C89C22semidirect
185. C2×#121×C89C22semidirect
186. C2×#120×C89C22semidirect
187. C2×#120×C89C22semidirect
188. C2×#120×C89C22semidirect
189. #520×C89C22semidirect
190. #518×C89C22semidirect
191. #518×C89C22semidirect
192. C4×#41×C89C22semidirect
193. C4×#41×C89C22semidirect
194. C4×#41×C89C22semidirect
195. C2×C4×D4×C89C22semidirect
196. C2×C4×D4×C89C22semidirect
197. C2×C4×D4×C89C22semidirect
198. C2×#117×C89C22semidirect
208. C2×#41×C89C23semidirect
209. C2×#41×C89C23semidirect
210. C2×#41×C89C23semidirect
211. C2×#41×C89C23semidirect
212. C2×#41×C89C23semidirect
213. C2×#41×C89C23semidirect
214. C2×#41×C89C23semidirect
215. C2×#41×C89C23semidirect
216. C2×#41×C89C23semidirect
217. C2×#41×C89C23semidirect
218. C22×Q8×C89C23semidirect
238. C22×D4×C89C23semidirect
239. C22×D4×C89C23semidirect
240. C22×D4×C89C23semidirect
241. C22×D4×C89C23semidirect
242. C22×D4×C89C23semidirect
243. C22×D4×C89C23semidirect
244. C22×D4×C89C23semidirect
245. C22×D4×C89C23semidirect
246. C22×D4×C89C23semidirect
247. C22×D4×C89C23semidirect
250. C23×C4×C89C23semidirect
251. C4⋊Q8×C89C23semidirect
252. C4⋊Q8×C89C23semidirect
253. C4⋊Q8×C89C23semidirect
254. C4⋊Q8×C89C23semidirect
255. C4⋊Q8×C89C23semidirect
256. C4⋊Q8×C89C23semidirect
265. #127×C89C23semidirect
266. #127×C89C23semidirect
267. #127×C89C23semidirect
268. #127×C89C23semidirect
269. #127×C89C23semidirect
270. #127×C89C23semidirect
271. #127×C89C23semidirect
272. #127×C89C23semidirect
273. #126×C89C23semidirect
274. #126×C89C23semidirect
275. #126×C89C23semidirect
276. #126×C89C23semidirect
277. #126×C89C23semidirect
278. #126×C89C23semidirect
279. #126×C89C23semidirect
280. #126×C89C23semidirect
281. #125×C89C23semidirect
282. #125×C89C23semidirect
283. #125×C89C23semidirect
284. #125×C89C23semidirect
285. #125×C89C23semidirect
290. #124×C89C23semidirect
291. #124×C89C23semidirect
292. #124×C89C23semidirect
293. #124×C89C23semidirect
294. #124×C89C23semidirect
295. #124×C89C23semidirect
296. #124×C89C23semidirect
297. #124×C89C23semidirect
298. #124×C89C23semidirect
299. #124×C89C23semidirect
300. #124×C89C23semidirect
301. #124×C89C23semidirect
302. #124×C89C23semidirect
303. #124×C89C23semidirect
304. #124×C89C23semidirect
308. #123×C89C23semidirect
309. #123×C89C23semidirect
310. #123×C89C23semidirect
311. #123×C89C23semidirect
312. #123×C89C23semidirect
313. #123×C89C23semidirect
314. #123×C89C23semidirect
315. #123×C89C23semidirect
316. #123×C89C23semidirect
317. #123×C89C23semidirect
318. #123×C89C23semidirect
319. #123×C89C23semidirect
320. #123×C89C23semidirect
321. #123×C89C23semidirect
322. #123×C89C23semidirect
323. #123×C89C23semidirect
324. #123×C89C23semidirect
325. #123×C89C23semidirect
326. #123×C89C23semidirect
330. C22⋊Q8×C89C23semidirect
331. C22⋊Q8×C89C23semidirect
332. C22⋊Q8×C89C23semidirect
333. C22⋊Q8×C89C23semidirect
334. C22⋊Q8×C89C23semidirect
335. C22⋊Q8×C89C23semidirect
336. C22⋊Q8×C89C23semidirect
337. C22⋊Q8×C89C23semidirect
338. C22⋊Q8×C89C23semidirect
339. C22⋊Q8×C89C23semidirect
340. C22⋊Q8×C89C23semidirect
341. C22⋊Q8×C89C23semidirect
342. C22⋊Q8×C89C23semidirect
343. C22⋊Q8×C89C23semidirect
364. #121×C89C23semidirect
365. #121×C89C23semidirect
366. #121×C89C23semidirect
367. #121×C89C23semidirect
368. #121×C89C23semidirect
369. #121×C89C23semidirect
370. #121×C89C23semidirect
371. #121×C89C23semidirect
372. #121×C89C23semidirect
373. #121×C89C23semidirect
374. #121×C89C23semidirect
375. #121×C89C23semidirect
376. #121×C89C23semidirect
377. #121×C89C23semidirect
378. #121×C89C23semidirect
379. #121×C89C23semidirect
380. #121×C89C23semidirect
381. #121×C89C23semidirect
382. #121×C89C23semidirect
383. #121×C89C23semidirect
384. #121×C89C23semidirect
385. #121×C89C23semidirect
386. #121×C89C23semidirect
387. #121×C89C23semidirect
388. #121×C89C23semidirect
389. #121×C89C23semidirect
390. #121×C89C23semidirect
391. #121×C89C23semidirect
392. #121×C89C23semidirect
393. #121×C89C23semidirect
394. #121×C89C23semidirect
395. #121×C89C23semidirect
396. #121×C89C23semidirect
397. #121×C89C23semidirect
398. #121×C89C23semidirect
399. #121×C89C23semidirect
400. #121×C89C23semidirect
401. #121×C89C23semidirect
402. #121×C89C23semidirect
403. #121×C89C23semidirect
404. #121×C89C23semidirect
405. #121×C89C23semidirect
418. #120×C89C23semidirect
419. #120×C89C23semidirect
420. #120×C89C23semidirect
421. #120×C89C23semidirect
422. #120×C89C23semidirect
423. #120×C89C23semidirect
424. #120×C89C23semidirect
425. #120×C89C23semidirect
426. #120×C89C23semidirect
427. #120×C89C23semidirect
428. #120×C89C23semidirect
429. #120×C89C23semidirect
430. #120×C89C23semidirect
431. #120×C89C23semidirect
432. #120×C89C23semidirect
433. #120×C89C23semidirect
434. C4×Q8×C89C23semidirect
435. C4×Q8×C89C23semidirect
436. C4×Q8×C89C23semidirect
437. C4×Q8×C89C23semidirect
438. C4×Q8×C89C23semidirect
439. C4×Q8×C89C23semidirect
440. C4×Q8×C89C23semidirect
441. C4×Q8×C89C23semidirect
459. C4×D4×C89C23semidirect
460. C4×D4×C89C23semidirect
461. C4×D4×C89C23semidirect
462. C4×D4×C89C23semidirect
463. C4×D4×C89C23semidirect
464. C4×D4×C89C23semidirect
465. C4×D4×C89C23semidirect
466. C4×D4×C89C23semidirect
467. C4×D4×C89C23semidirect
468. C4×D4×C89C23semidirect
469. C4×D4×C89C23semidirect
470. C4×D4×C89C23semidirect
471. C4×D4×C89C23semidirect
472. C4×D4×C89C23semidirect
473. C4×D4×C89C23semidirect
474. C4×D4×C89C23semidirect
475. C4×D4×C89C23semidirect
476. C4×D4×C89C23semidirect
477. C4×D4×C89C23semidirect
478. C4×D4×C89C23semidirect
479. C4×D4×C89C23semidirect
480. C4×D4×C89C23semidirect
481. C4×D4×C89C23semidirect
482. C4×D4×C89C23semidirect
483. C4×D4×C89C23semidirect
484. C4×D4×C89C23semidirect
485. C4×D4×C89C23semidirect
486. C4×D4×C89C23semidirect
487. C4×D4×C89C23semidirect
492. #117×C89C23semidirect
493. #117×C89C23semidirect
494. #117×C89C23semidirect
495. #117×C89C23semidirect
496. #117×C89C23semidirect
497. #117×C89C23semidirect
498. #117×C89C23semidirect
499. #117×C89C23semidirect
500. #117×C89C23semidirect
501. #117×C89C23semidirect
502. #117×C89C23semidirect
505. C2×C4⋊C4×C89C23semidirect
506. C2×C4⋊C4×C89C23semidirect
507. C2×C4⋊C4×C89C23semidirect
508. C2×C4⋊C4×C89C23semidirect
514. C2×C22⋊C4×C89C23semidirect
515. C2×C22⋊C4×C89C23semidirect
516. C2×C22⋊C4×C89C23semidirect
517. C2×C22⋊C4×C89C23semidirect
518. C2×C22⋊C4×C89C23semidirect
519. C2×C22⋊C4×C89C23semidirect
521. C2×C42×C89C23semidirect
522. C2×C42×C89C23semidirect
523. C2×C42×C89C23semidirect
824. D4×C89H(5,𝔽2)semidirect
851. C2×C4×C89H(5,𝔽2)semidirect
920. #62912C89direct (N × H)
932. #3558C2×C89semidirect
933. #3549C2×C89semidirect
934. #3546C2×C89semidirect
935. #3546C2×C89semidirect
936. #3543C2×C89semidirect
937. #3543C2×C89semidirect
938. #3542C2×C89semidirect
939. #3542C2×C89semidirect
940. #3537C2×C89semidirect
941. #3532C2×C89semidirect
942. #3519C2×C89semidirect
943. #3514C2×C89semidirect
944. #3508C2×C89semidirect
945. #3506C2×C89semidirect
946. #3498C2×C89semidirect
947. #3498C2×C89semidirect
948. #3496C2×C89semidirect
949. #3494C2×C89semidirect
950. #3488C2×C89semidirect
951. #3484C2×C89semidirect
952. #3484C2×C89semidirect
953. #3475C2×C89semidirect
954. D4×#41C2×C89semidirect
955. C2×D42C2×C89semidirect
956. #3460C2×C89semidirect
957. C2×#535C2×C89semidirect
958. C89#62912direct (N × H)
959. C2×H(5,𝔽2)C22×C89semidirect
960. C2×H(5,𝔽2)C22×C89semidirect
961. C22×#41C22×C89semidirect
962. C23×D4C22×C89semidirect
963. C23×D4C22×C89semidirect
964. #562C22×C89semidirect
965. H(3,𝔽4)C22×C89semidirect
966. #560C22×C89semidirect
967. #560C22×C89semidirect
968. #560C22×C89semidirect
969. #560C22×C89semidirect
970. #559C22×C89semidirect
971. #559C22×C89semidirect
972. #559C22×C89semidirect
973. #556C22×C89semidirect
974. #556C22×C89semidirect
975. #555C22×C89semidirect
976. #555C22×C89semidirect
977. #555C22×C89semidirect
978. #555C22×C89semidirect
979. #554C22×C89semidirect
980. #553C22×C89semidirect
981. #553C22×C89semidirect
982. #553C22×C89semidirect
983. #553C22×C89semidirect
984. #553C22×C89semidirect
985. #552C22×C89semidirect
986. #552C22×C89semidirect
987. #551C22×C89semidirect
988. #551C22×C89semidirect
989. #551C22×C89semidirect
990. #550C22×C89semidirect
991. #550C22×C89semidirect
992. #550C22×C89semidirect
993. #550C22×C89semidirect
994. #550C22×C89semidirect
995. #550C22×C89semidirect
996. #550C22×C89semidirect
997. #550C22×C89semidirect
998. D4×Q8C22×C89semidirect
999. #548C22×C89semidirect
1000. #548C22×C89semidirect
1001. #547C22×C89semidirect
1002. #547C22×C89semidirect
1003. #547C22×C89semidirect
1004. #547C22×C89semidirect
1005. #547C22×C89semidirect
1006. #546C22×C89semidirect
1007. #546C22×C89semidirect
1008. #546C22×C89semidirect
1009. #546C22×C89semidirect
1010. #546C22×C89semidirect
1011. #546C22×C89semidirect
1012. #546C22×C89semidirect
1013. #546C22×C89semidirect
1014. #546C22×C89semidirect
1015. #546C22×C89semidirect
1016. #546C22×C89semidirect
1017. #546C22×C89semidirect
1018. #546C22×C89semidirect
1019. #546C22×C89semidirect
1020. #546C22×C89semidirect
1021. #546C22×C89semidirect
1022. #546C22×C89semidirect
1023. #546C22×C89semidirect
1024. D42C22×C89semidirect
1025. D42C22×C89semidirect
1026. D42C22×C89semidirect
1027. D42C22×C89semidirect
1028. D42C22×C89semidirect
1029. D42C22×C89semidirect
1030. D42C22×C89semidirect
1031. D42C22×C89semidirect
1032. D42C22×C89semidirect
1033. D42C22×C89semidirect
1034. D42C22×C89semidirect
1035. D42C22×C89semidirect
1036. D42C22×C89semidirect
1037. D42C22×C89semidirect
1038. D42C22×C89semidirect
1039. D42C22×C89semidirect
1040. D42C22×C89semidirect
1041. D42C22×C89semidirect
1042. D42C22×C89semidirect
1043. D42C22×C89semidirect
1044. D42C22×C89semidirect
1045. D42C22×C89semidirect
1046. #544C22×C89semidirect
1047. #542C22×C89semidirect
1048. #542C22×C89semidirect
1049. #542C22×C89semidirect
1050. #542C22×C89semidirect
1051. #540C22×C89semidirect
1052. #540C22×C89semidirect
1053. #540C22×C89semidirect
1054. #540C22×C89semidirect
1055. #540C22×C89semidirect
1056. #540C22×C89semidirect
1057. #538C22×C89semidirect
1058. #538C22×C89semidirect
1059. #538C22×C89semidirect
1060. #538C22×C89semidirect
1061. #538C22×C89semidirect
1062. #538C22×C89semidirect
1063. #538C22×C89semidirect
1064. #537C22×C89semidirect
1065. #537C22×C89semidirect
1066. #537C22×C89semidirect
1067. #535C22×C89semidirect
1068. #535C22×C89semidirect
1069. #535C22×C89semidirect
1070. #535C22×C89semidirect
1071. #535C22×C89semidirect
1072. #535C22×C89semidirect
1073. #535C22×C89semidirect
1074. #535C22×C89semidirect
1075. #535C22×C89semidirect
1076. #535C22×C89semidirect
1077. #535C22×C89semidirect
1078. #535C22×C89semidirect
1079. #535C22×C89semidirect
1080. #535C22×C89semidirect
1081. #535C22×C89semidirect
1082. #535C22×C89semidirect
1083. #535C22×C89semidirect
1084. #534C22×C89semidirect
1085. #534C22×C89semidirect
1086. #534C22×C89semidirect
1087. #534C22×C89semidirect
1088. #534C22×C89semidirect
1089. #533C22×C89semidirect
1090. #532C22×C89semidirect
1091. #532C22×C89semidirect
1092. #532C22×C89semidirect
1093. #532C22×C89semidirect
1094. #532C22×C89semidirect
1095. #532C22×C89semidirect
1096. #532C22×C89semidirect
1097. #532C22×C89semidirect
1098. C2×#127C22×C89semidirect
1099. C2×#127C22×C89semidirect
1100. C2×#127C22×C89semidirect
1101. #529C22×C89semidirect
1102. #529C22×C89semidirect
1103. #529C22×C89semidirect
1104. #529C22×C89semidirect
1105. #529C22×C89semidirect
1106. C2×#124C22×C89semidirect
1107. #525C22×C89semidirect
1108. #525C22×C89semidirect
1109. #525C22×C89semidirect
1110. #525C22×C89semidirect
1111. #525C22×C89semidirect
1112. #525C22×C89semidirect
1113. C2×#121C22×C89semidirect
1114. C2×#121C22×C89semidirect
1115. C2×#121C22×C89semidirect
1116. C2×#121C22×C89semidirect
1117. C2×#121C22×C89semidirect
1118. C2×#120C22×C89semidirect
1119. C2×#120C22×C89semidirect
1120. C2×#120C22×C89semidirect
1121. #520C22×C89semidirect
1122. #518C22×C89semidirect
1123. #518C22×C89semidirect
1124. C4×#41C22×C89semidirect
1125. C4×#41C22×C89semidirect
1126. C4×#41C22×C89semidirect
1127. C2×C4×D4C22×C89semidirect
1128. C2×C4×D4C22×C89semidirect
1129. C2×C4×D4C22×C89semidirect
1130. C2×#117C22×C89semidirect
1140. C2×#41C23×C89semidirect
1141. C2×#41C23×C89semidirect
1142. C2×#41C23×C89semidirect
1143. C2×#41C23×C89semidirect
1144. C2×#41C23×C89semidirect
1145. C2×#41C23×C89semidirect
1146. C2×#41C23×C89semidirect
1147. C2×#41C23×C89semidirect
1148. C2×#41C23×C89semidirect
1149. C2×#41C23×C89semidirect
1150. C22×Q8C23×C89semidirect
1170. C22×D4C23×C89semidirect
1171. C22×D4C23×C89semidirect
1172. C22×D4C23×C89semidirect
1173. C22×D4C23×C89semidirect
1174. C22×D4C23×C89semidirect
1175. C22×D4C23×C89semidirect
1176. C22×D4C23×C89semidirect
1177. C22×D4C23×C89semidirect
1178. C22×D4C23×C89semidirect
1179. C22×D4C23×C89semidirect
1182. C23×C4C23×C89semidirect
1183. C4⋊Q8C23×C89semidirect
1184. C4⋊Q8C23×C89semidirect
1185. C4⋊Q8C23×C89semidirect
1186. C4⋊Q8C23×C89semidirect
1187. C4⋊Q8C23×C89semidirect
1188. C4⋊Q8C23×C89semidirect
1197. #127C23×C89semidirect
1198. #127C23×C89semidirect
1199. #127C23×C89semidirect
1200. #127C23×C89semidirect
1201. #127C23×C89semidirect
1202. #127C23×C89semidirect
1203. #127C23×C89semidirect
1204. #127C23×C89semidirect
1205. #126C23×C89semidirect
1206. #126C23×C89semidirect
1207. #126C23×C89semidirect
1208. #126C23×C89semidirect
1209. #126C23×C89semidirect
1210. #126C23×C89semidirect
1211. #126C23×C89semidirect
1212. #126C23×C89semidirect
1213. #125C23×C89semidirect
1214. #125C23×C89semidirect
1215. #125C23×C89semidirect
1216. #125C23×C89semidirect
1217. #125C23×C89semidirect
1222. #124C23×C89semidirect
1223. #124C23×C89semidirect
1224. #124C23×C89semidirect
1225. #124C23×C89semidirect
1226. #124C23×C89semidirect
1227. #124C23×C89semidirect
1228. #124C23×C89semidirect
1229. #124C23×C89semidirect
1230. #124C23×C89semidirect
1231. #124C23×C89semidirect
1232. #124C23×C89semidirect
1233. #124C23×C89semidirect
1234. #124C23×C89semidirect
1235. #124C23×C89semidirect
1236. #124C23×C89semidirect
1240. #123C23×C89semidirect
1241. #123C23×C89semidirect
1242. #123C23×C89semidirect
1243. #123C23×C89semidirect
1244. #123C23×C89semidirect
1245. #123C23×C89semidirect
1246. #123C23×C89semidirect
1247. #123C23×C89semidirect
1248. #123C23×C89semidirect
1249. #123C23×C89semidirect
1250. #123C23×C89semidirect
1251. #123C23×C89semidirect
1252. #123C23×C89semidirect
1253. #123C23×C89semidirect
1254. #123C23×C89semidirect
1255. #123C23×C89semidirect
1256. #123C23×C89semidirect
1257. #123C23×C89semidirect
1258. #123C23×C89semidirect
1262. C22⋊Q8C23×C89semidirect
1263. C22⋊Q8C23×C89semidirect
1264. C22⋊Q8C23×C89semidirect
1265. C22⋊Q8C23×C89semidirect
1266. C22⋊Q8C23×C89semidirect
1267. C22⋊Q8C23×C89semidirect
1268. C22⋊Q8C23×C89semidirect
1269. C22⋊Q8C23×C89semidirect
1270. C22⋊Q8C23×C89semidirect
1271. C22⋊Q8C23×C89semidirect
1272. C22⋊Q8C23×C89semidirect
1273. C22⋊Q8C23×C89semidirect
1274. C22⋊Q8C23×C89semidirect
1275. C22⋊Q8C23×C89semidirect
1296. #121C23×C89semidirect
1297. #121C23×C89semidirect
1298. #121C23×C89semidirect
1299. #121C23×C89semidirect
1300. #121C23×C89semidirect
1301. #121C23×C89semidirect
1302. #121C23×C89semidirect
1303. #121C23×C89semidirect
1304. #121C23×C89semidirect
1305. #121C23×C89semidirect
1306. #121C23×C89semidirect
1307. #121C23×C89semidirect
1308. #121C23×C89semidirect
1309. #121C23×C89semidirect
1310. #121C23×C89semidirect
1311. #121C23×C89semidirect
1312. #121C23×C89semidirect
1313. #121C23×C89semidirect
1314. #121C23×C89semidirect
1315. #121C23×C89semidirect
1316. #121C23×C89semidirect
1317. #121C23×C89semidirect
1318. #121C23×C89semidirect
1319. #121C23×C89semidirect
1320. #121C23×C89semidirect
1321. #121C23×C89semidirect
1322. #121C23×C89semidirect
1323. #121C23×C89semidirect
1324. #121C23×C89semidirect
1325. #121C23×C89semidirect
1326. #121C23×C89semidirect
1327. #121C23×C89semidirect
1328. #121C23×C89semidirect
1329. #121C23×C89semidirect
1330. #121C23×C89semidirect
1331. #121C23×C89semidirect
1332. #121C23×C89semidirect
1333. #121C23×C89semidirect
1334. #121C23×C89semidirect
1335. #121C23×C89semidirect
1336. #121C23×C89semidirect
1337. #121C23×C89semidirect
1350. #120C23×C89semidirect
1351. #120C23×C89semidirect
1352. #120C23×C89semidirect
1353. #120C23×C89semidirect
1354. #120C23×C89semidirect
1355. #120C23×C89semidirect
1356. #120C23×C89semidirect
1357. #120C23×C89semidirect
1358. #120C23×C89semidirect
1359. #120C23×C89semidirect
1360. #120C23×C89semidirect
1361. #120C23×C89semidirect
1362. #120C23×C89semidirect
1363. #120C23×C89semidirect
1364. #120C23×C89semidirect
1365. #120C23×C89semidirect
1366. C4×Q8C23×C89semidirect
1367. C4×Q8C23×C89semidirect
1368. C4×Q8C23×C89semidirect
1369. C4×Q8C23×C89semidirect
1370. C4×Q8C23×C89semidirect
1371. C4×Q8C23×C89semidirect
1372. C4×Q8C23×C89semidirect
1373. C4×Q8C23×C89semidirect
1391. C4×D4C23×C89semidirect
1392. C4×D4C23×C89semidirect
1393. C4×D4C23×C89semidirect
1394. C4×D4C23×C89semidirect
1395. C4×D4C23×C89semidirect
1396. C4×D4C23×C89semidirect
1397. C4×D4C23×C89semidirect
1398. C4×D4C23×C89semidirect
1399. C4×D4C23×C89semidirect
1400. C4×D4C23×C89semidirect
1401. C4×D4C23×C89semidirect
1402. C4×D4C23×C89semidirect
1403. C4×D4C23×C89semidirect
1404. C4×D4C23×C89semidirect
1405. C4×D4C23×C89semidirect
1406. C4×D4C23×C89semidirect
1407. C4×D4C23×C89semidirect
1408. C4×D4C23×C89semidirect
1409. C4×D4C23×C89semidirect
1410. C4×D4C23×C89semidirect
1411. C4×D4C23×C89semidirect
1412. C4×D4C23×C89semidirect
1413. C4×D4C23×C89semidirect
1414. C4×D4C23×C89semidirect
1415. C4×D4C23×C89semidirect
1416. C4×D4C23×C89semidirect
1417. C4×D4C23×C89semidirect
1418. C4×D4C23×C89semidirect
1419. C4×D4C23×C89semidirect
1424. #117C23×C89semidirect
1425. #117C23×C89semidirect
1426. #117C23×C89semidirect
1427. #117C23×C89semidirect
1428. #117C23×C89semidirect
1429. #117C23×C89semidirect
1430. #117C23×C89semidirect
1431. #117C23×C89semidirect
1432. #117C23×C89semidirect
1433. #117C23×C89semidirect
1434. #117C23×C89semidirect
1437. C2×C4⋊C4C23×C89semidirect
1438. C2×C4⋊C4C23×C89semidirect
1439. C2×C4⋊C4C23×C89semidirect
1440. C2×C4⋊C4C23×C89semidirect
1446. C2×C22⋊C4C23×C89semidirect
1447. C2×C22⋊C4C23×C89semidirect
1448. C2×C22⋊C4C23×C89semidirect
1449. C2×C22⋊C4C23×C89semidirect
1450. C2×C22⋊C4C23×C89semidirect
1451. C2×C22⋊C4C23×C89semidirect
1453. C2×C42C23×C89semidirect
1454. C2×C42C23×C89semidirect
1455. C2×C42C23×C89semidirect
1756. D4H(5,𝔽2)×C89semidirect
1783. C2×C4H(5,𝔽2)×C89semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C89×#35582
C89×#35492
C89×#35462
C89×#35432
C89×#35422
C89×#35372
C89×#35322
C89×#35192
C89×#35142
C89×#35082
C89×#35062
C89×#34982
C89×#34962
C89×#34942
C89×#34882
C89×#34842
C89×#34752
D4×#41×C892
C2×D42×C892
C89×#34602
C2×#535×C892
#6291289