Finite Group Databasebeta

← C73×#62912 #32972316

Subgroups — C73×#62912 #32972316

Order 18688.

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
1C73×#3558C214yesmaximal, complemented
2C73×#3549C212yesmaximal, complemented
3C73×#3546C212yesmaximal, complemented
4C73×#3546C212yesmaximal, complemented
5C73×#3543C214yesmaximal, complemented
6C73×#3543C212yesmaximal, complemented
7C73×#3542C214yesmaximal, complemented
8C73×#3542C214yesmaximal, complemented
9C73×#3537C214yesmaximal, complemented
10C73×#3532C218yesmaximal, complemented
11C73×#3519C212yesmaximal, complemented
12C73×#3514C212yesmaximal, complemented
13C73×#3508C211yesmaximal, characteristic, complemented
14C73×#3506C211yesmaximal, characteristic, complemented
15C73×#3498C211yesmaximal, characteristic, complemented
16C73×#3498C212yesmaximal, complemented
17C73×#3496C212yesmaximal, complemented
18C73×#3494C212yesmaximal, complemented
19C73×#3488C212yesmaximal, complemented
20C73×#3484C212yesmaximal, complemented
21C73×#3484C214yesmaximal, complemented
22C73×#3475C211yesmaximal, characteristic, complemented
23D4×#41×C73C211yesmaximal, characteristic, complemented
24C2×D42×C73C211yesmaximal, characteristic, complemented
25C73×#3460C211yesmaximal, characteristic, complemented
26C2×#535×C73C212yesmaximal, complemented
27C2×H(5,𝔽2)×C73C2212yescomplemented
28C2×H(5,𝔽2)×C73C2214yescomplemented
29C22×#41×C73C2212yescomplemented
30C23×D4×C73C2212yescomplemented
31C23×D4×C73C2212yescomplemented
32#562×C73C2218yescomplemented
33H(3,𝔽4)×C73C2218yescomplemented
34#560×C73C2218yescomplemented
35#560×C73C2218yescomplemented
36#560×C73C2218yescomplemented
37#560×C73C2218yescomplemented
38#559×C73C2214yescomplemented
39#559×C73C2212yescomplemented
40#559×C73C2212yescomplemented
41#556×C73C2211yescharacteristic, complemented
42#556×C73C2212yescomplemented
43#555×C73C2211yescharacteristic, complemented
44#555×C73C2212yescomplemented
45#555×C73C2214yescomplemented
46#555×C73C2214yescomplemented
47#554×C73C2211yescharacteristic, complemented
48#553×C73C2212yescomplemented
49#553×C73C2214yescomplemented
50#553×C73C2214yescomplemented
51#553×C73C2214yescomplemented
52#553×C73C2214yescomplemented
53#552×C73C2212yescomplemented
54#552×C73C2212yescomplemented
55#551×C73C2214yescomplemented
56#551×C73C2218yescomplemented
57#551×C73C2218yescomplemented
58#550×C73C2211yescharacteristic, complemented
59#550×C73C2212yescomplemented
60#550×C73C2214yescomplemented
61#550×C73C2214yescomplemented
62#550×C73C2212yescomplemented
63#550×C73C2212yescomplemented
64#550×C73C2212yescomplemented
65#550×C73C2212yescomplemented
66D4×Q8×C73C2211yescharacteristic, complemented
67#548×C73C2212yescomplemented
68#548×C73C2214yescomplemented
69#547×C73C2212yescomplemented
70#547×C73C2211yescharacteristic, complemented
71#547×C73C2212yescomplemented
72#547×C73C2211yescharacteristic, complemented
73#547×C73C2214yescomplemented
74#546×C73C2212yescomplemented
75#546×C73C2218yescomplemented
76#546×C73C2214yescomplemented
77#546×C73C2214yescomplemented
78#546×C73C2214yescomplemented
79#546×C73C2218yescomplemented
80#546×C73C2212yescomplemented
81#546×C73C2214yescomplemented
82#546×C73C2218yescomplemented
83#546×C73C2218yescomplemented
84#546×C73C2218yescomplemented
85#546×C73C2214yescomplemented
86#546×C73C2214yescomplemented
87#546×C73C2214yescomplemented
88#546×C73C2214yescomplemented
89#546×C73C2214yescomplemented
90#546×C73C2214yescomplemented
91#546×C73C2214yescomplemented
92D42×C73C2212yescomplemented
93D42×C73C2212yescomplemented
94D42×C73C2212yescomplemented
95D42×C73C2214yescomplemented
96D42×C73C2212yescomplemented
97D42×C73C2214yescomplemented
98D42×C73C2212yescomplemented
99D42×C73C2218yescomplemented
100D42×C73C2214yescomplemented
101D42×C73C2214yescomplemented
102D42×C73C2211yescharacteristic, complemented
103D42×C73C2214yescomplemented
104D42×C73C2218yescomplemented
105D42×C73C2218yescomplemented
106D42×C73C2214yescomplemented
107D42×C73C2214yescomplemented
108D42×C73C2214yescomplemented
109D42×C73C2214yescomplemented
110D42×C73C2214yescomplemented
111D42×C73C2214yescomplemented
112D42×C73C2212yescomplemented
113D42×C73C2212yescomplemented
114#544×C73C2211yescharacteristic, complemented
115#542×C73C2212yescomplemented
116#542×C73C2212yescomplemented
117#542×C73C2214yescomplemented
118#542×C73C2214yescomplemented
119#540×C73C2212yescomplemented
120#540×C73C2212yescomplemented
121#540×C73C2214yescomplemented
122#540×C73C2214yescomplemented
123#540×C73C2218yescomplemented
124#540×C73C2214yescomplemented
125#538×C73C2214yescomplemented
126#538×C73C2214yescomplemented
127#538×C73C2218yescomplemented
128#538×C73C2218yescomplemented
129#538×C73C2218yescomplemented
130#538×C73C2218yescomplemented
131#538×C73C2218yescomplemented
132#537×C73C2211yescharacteristic, complemented
133#537×C73C2214yescomplemented
134#537×C73C2214yescomplemented
135#535×C73C2211yescharacteristic, complemented
136#535×C73C2212yescomplemented
137#535×C73C2211yescharacteristic, complemented
138#535×C73C2212yescomplemented
139#535×C73C2212yescomplemented
140#535×C73C2218yescomplemented
141#535×C73C2218yescomplemented
142#535×C73C2218yescomplemented
143#535×C73C2214yescomplemented
144#535×C73C2214yescomplemented
145#535×C73C2214yescomplemented
146#535×C73C2214yescomplemented
147#535×C73C2214yescomplemented
148#535×C73C2214yescomplemented
149#535×C73C2214yescomplemented
150#535×C73C2214yescomplemented
151#535×C73C2214yescomplemented
152#534×C73C2218yescomplemented
153#534×C73C2218yescomplemented
154#534×C73C2218yescomplemented
155#534×C73C2218yescomplemented
156#534×C73C2218yescomplemented
157#533×C73C2211yescharacteristic, complemented
158#532×C73C2211yescharacteristic, complemented
159#532×C73C2212yescomplemented
160#532×C73C2212yescomplemented
161#532×C73C2212yescomplemented
162#532×C73C2214yescomplemented
163#532×C73C2212yescomplemented
164#532×C73C2212yescomplemented
165#532×C73C2212yescomplemented
166C2×#127×C73C2211yescharacteristic, complemented
167C2×#127×C73C2214yescomplemented
168C2×#127×C73C2212yescomplemented
169#529×C73C2214yescomplemented
170#529×C73C2212yescomplemented
171#529×C73C2212yescomplemented
172#529×C73C2212yescomplemented
173#529×C73C2214yescomplemented
174C2×#124×C73C2214yescomplemented
175#525×C73C2212yescomplemented
176#525×C73C2212yescomplemented
177#525×C73C2214yescomplemented
178#525×C73C2214yescomplemented
179#525×C73C2214yescomplemented
180#525×C73C2214yescomplemented
181C2×#121×C73C2212yescomplemented
182C2×#121×C73C2212yescomplemented
183C2×#121×C73C2214yescomplemented
184C2×#121×C73C2214yescomplemented
185C2×#121×C73C2214yescomplemented
186C2×#120×C73C2214yescomplemented
187C2×#120×C73C2218yescomplemented
188C2×#120×C73C2218yescomplemented
189#520×C73C2212yescomplemented
190#518×C73C2212yescomplemented
191#518×C73C2214yescomplemented
192C4×#41×C73C2211yescharacteristic, complemented
193C4×#41×C73C2211yescharacteristic, complemented
194C4×#41×C73C2212yescomplemented
195C2×C4×D4×C73C2211yescharacteristic, complemented
196C2×C4×D4×C73C2211yescharacteristic, complemented
197C2×C4×D4×C73C2212yescomplemented
198C2×#117×C73C2212yescomplemented
199C25×C73C2314yes—
200H(5,𝔽2)×C73—416no—
201H(5,𝔽2)×C73—48no—
202C2×#41×C73—48no—
203C2×#41×C73C2311yescharacteristic
204C2×#41×C73C2311yescharacteristic
205C2×#41×C73C2312yes—
206C2×#41×C73C2312yes—
207C2×#41×C73C2314yes—
208C2×#41×C73C2314yescomplemented
209C2×#41×C73C2314yescomplemented
210C2×#41×C73C2314yescomplemented
211C2×#41×C73C2314yescomplemented
212C2×#41×C73C2318yescomplemented
213C2×#41×C73C2314yescomplemented
214C2×#41×C73C2314yescomplemented
215C2×#41×C73C2312yescomplemented
216C2×#41×C73C2312yescomplemented
217C2×#41×C73C2314yescomplemented
218C22×Q8×C73C2312yescomplemented
219C22×D4×C73—48no—
220C22×D4×C73—48no—
221C22×D4×C73C2311yescharacteristic
222C22×D4×C73C2312yes—
223C22×D4×C73C2311yescharacteristic
224C22×D4×C73C2312yes—
225C22×D4×C73C2314yes—
226C22×D4×C73C2314yes—
227C22×D4×C73C2314yes—
228C22×D4×C73C2314yes—
229C22×D4×C73C2318yes—
230C22×D4×C73C2314yes—
231C22×D4×C73C2312yes—
232C22×D4×C73C2314yes—
233C22×D4×C73C2318yes—
234C22×D4×C73C2314yes—
235C22×D4×C73C2314yes—
236C22×D4×C73C2314yes—
237C22×D4×C73C2312yes—
238C22×D4×C73C2318yescomplemented
239C22×D4×C73C2318yescomplemented
240C22×D4×C73C2318yescomplemented
241C22×D4×C73C2314yescomplemented
242C22×D4×C73C2312yescomplemented
243C22×D4×C73C2314yescomplemented
244C22×D4×C73C2314yescomplemented
245C22×D4×C73C2318yescomplemented
246C22×D4×C73C2318yescomplemented
247C22×D4×C73C2314yescomplemented
248C23×C4×C73C2312yes—
249C23×C4×C73C2312yes—
250C23×C4×C73C2314yescomplemented
251C4⋊Q8×C73C2312yescomplemented
252C4⋊Q8×C73C2311yescharacteristic, complemented
253C4⋊Q8×C73C2311yescharacteristic, complemented
254C4⋊Q8×C73C2311yescharacteristic, complemented
255C4⋊Q8×C73C2312yescomplemented
256C4⋊Q8×C73C2312yescomplemented
257#127×C73C2312yes—
258#127×C73C2312yes—
259#127×C73C2312yes—
260#127×C73C2312yes—
261#127×C73C2314yes—
262#127×C73C2312yes—
263#127×C73C2312yes—
264#127×C73C2312yes—
265#127×C73C2314yescomplemented
266#127×C73C2311yescharacteristic, complemented
267#127×C73C2318yescomplemented
268#127×C73C2314yescomplemented
269#127×C73C2318yescomplemented
270#127×C73C2314yescomplemented
271#127×C73C2314yescomplemented
272#127×C73C2318yescomplemented
273#126×C73C2314yescomplemented
274#126×C73C2314yescomplemented
275#126×C73C2314yescomplemented
276#126×C73C2314yescomplemented
277#126×C73C2314yescomplemented
278#126×C73C2318yescomplemented
279#126×C73C2318yescomplemented
280#126×C73C2318yescomplemented
281#125×C73C2312yescomplemented
282#125×C73C2314yescomplemented
283#125×C73C2312yescomplemented
284#125×C73C2312yescomplemented
285#125×C73C2312yescomplemented
286#124×C73C2312yes—
287#124×C73C2314yes—
288#124×C73C2312yes—
289#124×C73C2312yes—
290#124×C73C2314yescomplemented
291#124×C73C2318yescomplemented
292#124×C73C2314yescomplemented
293#124×C73C2318yescomplemented
294#124×C73C2314yescomplemented
295#124×C73C2314yescomplemented
296#124×C73C2312yescomplemented
297#124×C73C2318yescomplemented
298#124×C73C2314yescomplemented
299#124×C73C2314yescomplemented
300#124×C73C2314yescomplemented
301#124×C73C2314yescomplemented
302#124×C73C2318yescomplemented
303#124×C73C2318yescomplemented
304#124×C73C2318yescomplemented
305#123×C73C2314yes—
306#123×C73C2314yes—
307#123×C73C2314yes—
308#123×C73C2314yescomplemented
309#123×C73C2314yescomplemented
310#123×C73C2318yescomplemented
311#123×C73C2314yescomplemented
312#123×C73C2318yescomplemented
313#123×C73C2314yescomplemented
314#123×C73C2314yescomplemented
315#123×C73C2314yescomplemented
316#123×C73C2318yescomplemented
317#123×C73C2314yescomplemented
318#123×C73C2314yescomplemented
319#123×C73C2318yescomplemented
320#123×C73C2318yescomplemented
321#123×C73C2318yescomplemented
322#123×C73C2318yescomplemented
323#123×C73C2318yescomplemented
324#123×C73C2318yescomplemented
325#123×C73C2318yescomplemented
326#123×C73C2318yescomplemented
327C22⋊Q8×C73C2312yes—
328C22⋊Q8×C73C2314yes—
329C22⋊Q8×C73C2312yes—
330C22⋊Q8×C73C2312yescomplemented
331C22⋊Q8×C73C2312yescomplemented
332C22⋊Q8×C73C2312yescomplemented
333C22⋊Q8×C73C2312yescomplemented
334C22⋊Q8×C73C2314yescomplemented
335C22⋊Q8×C73C2314yescomplemented
336C22⋊Q8×C73C2314yescomplemented
337C22⋊Q8×C73C2312yescomplemented
338C22⋊Q8×C73C2314yescomplemented
339C22⋊Q8×C73C2312yescomplemented
340C22⋊Q8×C73C2312yescomplemented
341C22⋊Q8×C73C2314yescomplemented
342C22⋊Q8×C73C2318yescomplemented
343C22⋊Q8×C73C2318yescomplemented
344#121×C73C2314yes—
345#121×C73C2312yes—
346#121×C73C2312yes—
347#121×C73C2314yes—
348#121×C73C2314yes—
349#121×C73C2314yes—
350#121×C73C2314yes—
351#121×C73C2314yes—
352#121×C73C2314yes—
353#121×C73C2318yes—
354#121×C73C2314yes—
355#121×C73C2312yes—
356#121×C73C2314yes—
357#121×C73C2314yes—
358#121×C73C2314yes—
359#121×C73C2312yes—
360#121×C73C2312yes—
361#121×C73C2312yes—
362#121×C73C2312yes—
363#121×C73C2312yes—
364#121×C73C2312yescomplemented
365#121×C73C2314yescomplemented
366#121×C73C2312yescomplemented
367#121×C73C2314yescomplemented
368#121×C73C2318yescomplemented
369#121×C73C2318yescomplemented
370#121×C73C2318yescomplemented
371#121×C73C2318yescomplemented
372#121×C73C2314yescomplemented
373#121×C73C2314yescomplemented
374#121×C73C2318yescomplemented
375#121×C73C2318yescomplemented
376#121×C73C2312yescomplemented
377#121×C73C2314yescomplemented
378#121×C73C2312yescomplemented
379#121×C73C2314yescomplemented
380#121×C73C2312yescomplemented
381#121×C73C2314yescomplemented
382#121×C73C2314yescomplemented
383#121×C73C2314yescomplemented
384#121×C73C2318yescomplemented
385#121×C73C2314yescomplemented
386#121×C73C2312yescomplemented
387#121×C73C2314yescomplemented
388#121×C73C2314yescomplemented
389#121×C73C2312yescomplemented
390#121×C73C2314yescomplemented
391#121×C73C2314yescomplemented
392#121×C73C2318yescomplemented
393#121×C73C2318yescomplemented
394#121×C73C2318yescomplemented
395#121×C73C2318yescomplemented
396#121×C73C2318yescomplemented
397#121×C73C2318yescomplemented
398#121×C73C2318yescomplemented
399#121×C73C2318yescomplemented
400#121×C73C2318yescomplemented
401#121×C73C2318yescomplemented
402#121×C73C2318yescomplemented
403#121×C73C2318yescomplemented
404#121×C73C2318yescomplemented
405#121×C73C2318yescomplemented
406#120×C73C2314yes—
407#120×C73C2318yes—
408#120×C73C2314yes—
409#120×C73C2314yes—
410#120×C73C2314yes—
411#120×C73C2318yes—
412#120×C73C2318yes—
413#120×C73C2318yes—
414#120×C73C2318yes—
415#120×C73C2318yes—
416#120×C73C2318yes—
417#120×C73C2314yes—
418#120×C73C2318yescomplemented
419#120×C73C2318yescomplemented
420#120×C73C2318yescomplemented
421#120×C73C2318yescomplemented
422#120×C73C2318yescomplemented
423#120×C73C2318yescomplemented
424#120×C73C2318yescomplemented
425#120×C73C2318yescomplemented
426#120×C73C2318yescomplemented
427#120×C73C2314yescomplemented
428#120×C73C2318yescomplemented
429#120×C73C2318yescomplemented
430#120×C73C2318yescomplemented
431#120×C73C2318yescomplemented
432#120×C73C2318yescomplemented
433#120×C73C2318yescomplemented
434C4×Q8×C73C2311yescharacteristic, complemented
435C4×Q8×C73C2311yescharacteristic, complemented
436C4×Q8×C73C2312yescomplemented
437C4×Q8×C73C2311yescharacteristic, complemented
438C4×Q8×C73C2311yescharacteristic, complemented
439C4×Q8×C73C2312yescomplemented
440C4×Q8×C73C2314yescomplemented
441C4×Q8×C73C2312yescomplemented
442C4×D4×C73C2311yescharacteristic
443C4×D4×C73C2311yescharacteristic
444C4×D4×C73C2312yes—
445C4×D4×C73C2312yes—
446C4×D4×C73C2312yes—
447C4×D4×C73C2311yescharacteristic
448C4×D4×C73C2312yes—
449C4×D4×C73C2312yes—
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2312yes—
452C4×D4×C73C2312yes—
453C4×D4×C73C2312yes—
454C4×D4×C73C2312yes—
455C4×D4×C73C2312yes—
456C4×D4×C73C2312yes—
457C4×D4×C73C2312yes—
458C4×D4×C73C2318yes—
459C4×D4×C73C2314yescomplemented
460C4×D4×C73C2312yescomplemented
461C4×D4×C73C2314yescomplemented
462C4×D4×C73C2312yescomplemented
463C4×D4×C73C2314yescomplemented
464C4×D4×C73C2311yescharacteristic, complemented
465C4×D4×C73C2311yescharacteristic, complemented
466C4×D4×C73C2314yescomplemented
467C4×D4×C73C2311yescharacteristic, complemented
468C4×D4×C73C2311yescharacteristic, complemented
469C4×D4×C73C2318yescomplemented
470C4×D4×C73C2318yescomplemented
471C4×D4×C73C2314yescomplemented
472C4×D4×C73C2314yescomplemented
473C4×D4×C73C2314yescomplemented
474C4×D4×C73C2314yescomplemented
475C4×D4×C73C2314yescomplemented
476C4×D4×C73C2314yescomplemented
477C4×D4×C73C2314yescomplemented
478C4×D4×C73C2314yescomplemented
479C4×D4×C73C2312yescomplemented
480C4×D4×C73C2314yescomplemented
481C4×D4×C73C2314yescomplemented
482C4×D4×C73C2314yescomplemented
483C4×D4×C73C2318yescomplemented
484C4×D4×C73C2318yescomplemented
485C4×D4×C73C2314yescomplemented
486C4×D4×C73C2318yescomplemented
487C4×D4×C73C2314yescomplemented
488#117×C73C2311yescharacteristic
489#117×C73C2312yes—
490#117×C73C2314yes—
491#117×C73C2311yescharacteristic
492#117×C73C2314yescomplemented
493#117×C73C2312yescomplemented
494#117×C73C2312yescomplemented
495#117×C73C2312yescomplemented
496#117×C73C2312yescomplemented
497#117×C73C2314yescomplemented
498#117×C73C2312yescomplemented
499#117×C73C2314yescomplemented
500#117×C73C2314yescomplemented
501#117×C73C2314yescomplemented
502#117×C73C2318yescomplemented
503C2×C4⋊C4×C73C2311yescharacteristic
504C2×C4⋊C4×C73C2311yescharacteristic
505C2×C4⋊C4×C73C2312yescomplemented
506C2×C4⋊C4×C73C2312yescomplemented
507C2×C4⋊C4×C73C2312yescomplemented
508C2×C4⋊C4×C73C2314yescomplemented
509C2×C22⋊C4×C73C2314yes—
510C2×C22⋊C4×C73C2312yes—
511C2×C22⋊C4×C73C2312yes—
512C2×C22⋊C4×C73C2318yes—
513C2×C22⋊C4×C73C2314yes—
514C2×C22⋊C4×C73C2314yescomplemented
515C2×C22⋊C4×C73C2318yescomplemented
516C2×C22⋊C4×C73C2318yescomplemented
517C2×C22⋊C4×C73C2318yescomplemented
518C2×C22⋊C4×C73C2318yescomplemented
519C2×C22⋊C4×C73C2318yescomplemented
520C2×C42×C73C2311yescharacteristic
521C2×C42×C73C2314yescomplemented
522C2×C42×C73C2312yescomplemented
523C2×C42×C73C2312yescomplemented
524C24×C73—48no—
525C24×C73—48no—
526C24×C73—84no—
527C24×C73C2412yes—
528C24×C73C2414yes—
529C24×C73C2412yes—
530C24×C73C2418yes—
531C24×C73C2414yes—
532C24×C73C2418yes—
533C24×C73C2418yes—
534#41×C73—28no—
535#41×C73—24no—
536#41×C73—28no—
537#41×C73—24no—
538#41×C73—48no—
539#41×C73—48no—
540#41×C73—48no—
541#41×C73—416no—
542#41×C73—44no—
543#41×C73—44no—
544#41×C73—48no—
545#41×C73—48no—
546#41×C73—48no—
547#41×C73—48no—
548#41×C73—84no—
549C2×Q8×C73—44no—
550C2×Q8×C73C2412yes—
551C2×Q8×C73C2411yescharacteristic
552C2×Q8×C73C2411yescharacteristic
553C2×Q8×C73C2412yes—
554C2×Q8×C73C2412yes—
555C2×Q8×C73C2414yes—
556C2×Q8×C73C2414yes—
557C2×D4×C73—24no—
558C2×D4×C73—216no—
559C2×D4×C73—28no—
560C2×D4×C73—24no—
561C2×D4×C73—28no—
562C2×D4×C73—48no—
563C2×D4×C73—48no—
564C2×D4×C73—48no—
565C2×D4×C73—48no—
566C2×D4×C73—44no—
567C2×D4×C73—48no—
568C2×D4×C73—44no—
569C2×D4×C73—48no—
570C2×D4×C73—48no—
571C2×D4×C73—48no—
572C2×D4×C73—48no—
573C2×D4×C73—416no—
574C2×D4×C73—416no—
575C2×D4×C73—48no—
576C2×D4×C73—48no—
577C2×D4×C73—416no—
578C2×D4×C73—416no—
579C2×D4×C73—416no—
580C2×D4×C73—82no—
581C2×D4×C73—84no—
582C2×D4×C73—88no—
583C2×D4×C73—88no—
584C2×D4×C73C2412yes—
585C2×D4×C73C2414yes—
586C2×D4×C73C2412yes—
587C2×D4×C73C2412yes—
588C2×D4×C73C2412yes—
589C2×D4×C73C2411yescharacteristic
590C2×D4×C73C2412yes—
591C2×D4×C73C2418yes—
592C2×D4×C73C2414yes—
593C2×D4×C73C2414yes—
594C2×D4×C73C2414yes—
595C2×D4×C73C2414yes—
596C2×D4×C73C2414yes—
597C2×D4×C73C2412yes—
598C2×D4×C73C2411yescharacteristic
599C2×D4×C73C2412yes—
600C2×D4×C73C2411yescharacteristic
601C2×D4×C73C2414yes—
602C2×D4×C73C2414yes—
603C2×D4×C73C2414yes—
604C2×D4×C73C2414yes—
605C2×D4×C73C2414yes—
606C2×D4×C73C2418yes—
607C2×D4×C73C2418yes—
608C2×D4×C73C2414yes—
609C2×D4×C73C2418yes—
610C2×D4×C73C2412yes—
611C2×D4×C73C2418yes—
612C2×D4×C73C2418yes—
613C2×D4×C73C2418yes—
614C2×D4×C73C2414yes—
615C2×D4×C73C2414yes—
616C2×D4×C73C2418yes—
617C2×D4×C73C2414yes—
618C2×D4×C73C2418yes—
619C2×D4×C73C2418yes—
620C2×D4×C73C2414yes—
621C2×D4×C73C2418yes—
622C2×D4×C73C2418yes—
623C2×D4×C73C2414yes—
624C2×D4×C73C2414yes—
625C2×D4×C73C2414yes—
626C2×D4×C73C2411yescharacteristic
627C22×C4×C73—28no—
628C22×C4×C73—44no—
629C22×C4×C73—48no—
630C22×C4×C73C2411yescharacteristic
631C22×C4×C73C2412yes—
632C22×C4×C73C2414yes—
633C22×C4×C73C2412yes—
634C22×C4×C73C2412yes—
635C22×C4×C73C2412yes—
636C22×C4×C73C2412yes—
637C22×C4×C73C2412yes—
638C22×C4×C73C2412yes—
639C22×C4×C73C2414yes—
640C22×C4×C73C2412yes—
641C22×C4×C73C2412yes—
642C22×C4×C73C2414yes—
643C22×C4×C73C2411yescharacteristic
644C22×C4×C73C2414yes—
645C22×C4×C73C2412yes—
646C22×C4×C73C2412yes—
647C22×C4×C73C2412yes—
648C22×C4×C73C2418yes—
649C22×C4×C73C2418yes—
650C22×C4×C73C2414yes—
651C22×C4×C73C2418yes—
652C22×C4×C73C2414yes—
653C22×C4×C73C2418yes—
654C22×C4×C73C2414yes—
655C22×C4×C73C2414yes—
656C22×C4×C73C2411yescharacteristic
657C4⋊C4×C73C2412yes—
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2412yes—
661C4⋊C4×C73C2412yes—
662C4⋊C4×C73C2412yes—
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2412yes—
666C4⋊C4×C73C2414yes—
667C4⋊C4×C73C2414yes—
668C4⋊C4×C73C2412yes—
669C4⋊C4×C73C2418yes—
670C4⋊C4×C73C2414yes—
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2412yes—
674C4⋊C4×C73C2414yes—
675C4⋊C4×C73C2414yes—
676C4⋊C4×C73C2412yes—
677C4⋊C4×C73C2412yes—
678C4⋊C4×C73C2412yes—
679C4⋊C4×C73C2412yes—
680C4⋊C4×C73C2414yes—
681C4⋊C4×C73C2414yes—
682C4⋊C4×C73C2414yes—
683C4⋊C4×C73C2414yes—
684C4⋊C4×C73C2412yes—
685C4⋊C4×C73C2414yes—
686C4⋊C4×C73C2414yes—
687C4⋊C4×C73C2414yes—
688C4⋊C4×C73C2412yes—
689C22⋊C4×C73C2412yes—
690C22⋊C4×C73C2414yes—
691C22⋊C4×C73C2412yes—
692C22⋊C4×C73C2412yes—
693C22⋊C4×C73C2418yes—
694C22⋊C4×C73C2412yes—
695C22⋊C4×C73C2414yes—
696C22⋊C4×C73C2414yes—
697C22⋊C4×C73C2418yes—
698C22⋊C4×C73C2414yes—
699C22⋊C4×C73C2412yes—
700C22⋊C4×C73C2412yes—
701C22⋊C4×C73C2414yes—
702C22⋊C4×C73C2418yes—
703C22⋊C4×C73C2418yes—
704C22⋊C4×C73C2414yes—
705C22⋊C4×C73C2414yes—
706C22⋊C4×C73C2414yes—
707C22⋊C4×C73C2418yes—
708C22⋊C4×C73C2414yes—
709C22⋊C4×C73C2414yes—
710C22⋊C4×C73C2418yes—
711C22⋊C4×C73C2414yes—
712C22⋊C4×C73C2414yes—
713C22⋊C4×C73C2414yes—
714C22⋊C4×C73C2418yes—
715C22⋊C4×C73C2414yes—
716C22⋊C4×C73C2414yes—
717C22⋊C4×C73C2418yes—
718C22⋊C4×C73C2418yes—
719C22⋊C4×C73C2418yes—
720C22⋊C4×C73C2414yes—
721C22⋊C4×C73C2414yes—
722C22⋊C4×C73C2412yes—
723C22⋊C4×C73C2412yes—
724C22⋊C4×C73C2412yes—
725C22⋊C4×C73C2418yes—
726C22⋊C4×C73C2412yes—
727C22⋊C4×C73C2414yes—
728C22⋊C4×C73C2414yes—
729C22⋊C4×C73C2414yes—
730C22⋊C4×C73C2414yes—
731C42×C73C2411yescharacteristic
732C42×C73C2411yescharacteristic
733C42×C73C2411yescharacteristic
734C42×C73C2411yescharacteristic
735C42×C73C2412yes—
736C42×C73C2414yes—
737C42×C73C2412yes—
738C42×C73C2414yes—
739C42×C73C2414yes—
740C42×C73C2412yes—
741C42×C73C2412yes—
742C42×C73C2412yes—
743C42×C73C2412yes—
744C42×C73C2418yes—
745C23×C73—24no—
746C23×C73—24no—
747C23×C73—24no—
748C23×C73—28no—
749C23×C73—216no—
750C23×C73—28no—
751C23×C73—42no—
752C23×C73—42no—
753C23×C73—42no—
754C23×C73—44no—
755C23×C73—48no—
756C23×C73—44no—
757C23×C73—48no—
758C23×C73—48no—
759C23×C73—44no—
760C23×C73—48no—
761C23×C73—44no—
762C23×C73—48no—
763C23×C73—48no—
764C23×C73—48no—
765C23×C73—48no—
766C23×C73—832no—
767C23×C73C2512yes—
768C23×C73C2514yes—
769C23×C73C2512yes—
770C23×C73C2518yes—
771C23×C73C2514yes—
772C23×C73C2512yes—
773C23×C73C2511yescharacteristic
774C23×C73C2512yes—
775Q8×C73—22no—
776Q8×C73—24no—
777Q8×C73—22no—
778Q8×C73—24no—
779Q8×C73—44no—
780Q8×C73—44no—
781Q8×C73—42no—
782D4×C73—24no—
783D4×C73—216no—
784D4×C73—28no—
785D4×C73—24no—
786D4×C73—28no—
787D4×C73—28no—
788D4×C73—24no—
789D4×C73—24no—
790D4×C73—22no—
791D4×C73—24no—
792D4×C73—28no—
793D4×C73—28no—
794D4×C73—28no—
795D4×C73—24no—
796D4×C73—22no—
797D4×C73—24no—
798D4×C73—22no—
799D4×C73—48no—
800D4×C73—48no—
801D4×C73—44no—
802D4×C73—48no—
803D4×C73—44no—
804D4×C73—48no—
805D4×C73—44no—
806D4×C73—44no—
807D4×C73—48no—
808D4×C73—48no—
809D4×C73—48no—
810D4×C73—48no—
811D4×C73—44no—
812D4×C73—44no—
813D4×C73—44no—
814D4×C73—44no—
815D4×C73—44no—
816D4×C73—44no—
817D4×C73—44no—
818D4×C73—48no—
819D4×C73—42no—
820D4×C73—44no—
821D4×C73—48no—
822D4×C73—48no—
823D4×C73—44no—
824D4×C73H(5,𝔽2)14yescomplemented
825C2×C4×C73—24no—
826C2×C4×C73—28no—
827C2×C4×C73—24no—
828C2×C4×C73—24no—
829C2×C4×C73—24no—
830C2×C4×C73—24no—
831C2×C4×C73—22no—
832C2×C4×C73—24no—
833C2×C4×C73—28no—
834C2×C4×C73—28no—
835C2×C4×C73—24no—
836C2×C4×C73—24no—
837C2×C4×C73—24no—
838C2×C4×C73—44no—
839C2×C4×C73—42no—
840C2×C4×C73—44no—
841C2×C4×C73—44no—
842C2×C4×C73—44no—
843C2×C4×C73—48no—
844C2×C4×C73—48no—
845C2×C4×C73—48no—
846C2×C4×C73—42no—
847C2×C4×C73—44no—
848C2×C4×C73—41no—
849C2×C4×C73—48no—
850C2×C4×C73—42no—
851C2×C4×C73H(5,𝔽2)14yescomplemented
852C2×C4×C73C2511yescharacteristic
853C2×C4×C73C2514yes—
854C2×C4×C73C2511yescharacteristic
855C2×C4×C73C2512yes—
856C2×C4×C73C2512yes—
857C2×C4×C73C2512yes—
858C2×C4×C73C2512yes—
859C2×C4×C73C2512yes—
860C2×C4×C73C2512yes—
861C2×C4×C73C2514yes—
862C2×C4×C73C2514yes—
863C2×C4×C73C2514yes—
864C2×C4×C73C2512yes—
865C2×C4×C73C2511yescharacteristic
866C2×C4×C73C2512yes—
867C2×C4×C73C2511yescharacteristic
868C2×C4×C73C2511yescharacteristic
869C2×C4×C73C2511yescharacteristic
870C22×C73—22no—
871C22×C73—21no—
872C22×C73—22no—
873C22×C73—21no—
874C22×C73—22no—
875C22×C73—22no—
876C22×C73—24no—
877C22×C73—24no—
878C22×C73—22no—
879C22×C73—22no—
880C22×C73—22no—
881C22×C73—24no—
882C22×C73—28no—
883C22×C73—28no—
884C22×C73—22no—
885C22×C73—24no—
886C22×C73—22no—
887C22×C73—28no—
888C22×C73—22no—
889C22×C73—24no—
890C22×C73—22no—
891C22×C73—24no—
892C22×C73—48no—
893C22×C73—48no—
894C22×C73—88no—
895C22×C73—88no—
896C22×C73—816no—
897C22×C73—816no—
898C22×C73—168no—
899C22×C73C2×H(5,𝔽2)12yes—
900C22×C73C2×H(5,𝔽2)14yes—
901C22×C73C2611yescharacteristic
902C4×C73—22no—
903C4×C73—22no—
904C4×C73—22no—
905C4×C73—21no—
906C4×C73—24no—
907C4×C73—22no—
908C4×C73—24no—
909C4×C73—22no—
910C4×C73—24no—
911C4×C73—22no—
912C4×C73—22no—
913C4×C73—21no—
914C4×C73—22no—
915C4×C73—24no—
916C4×C73—21no—
917C4×C73C2×H(5,𝔽2)12yes—
918C4×C73C2×H(5,𝔽2)12yes—
919C4×C73C2×H(5,𝔽2)12yes—
920#62912C7311yesmaximal, characteristic, direct product factor, Sylow
921C2×C73—22no—
922C2×C73—24no—
923C2×C73—42no—
924C2×C73—44no—
925C2×C73—42no—
926C2×C73—48no—
927C2×C73—44no—
928C2×C73—42no—
929C2×C73C22×H(5,𝔽2)11yescharacteristic
930C2×C73C22×H(5,𝔽2)11yescharacteristic
931C2×C73H(7,𝔽2)11yescharacteristic
932#3558C2×C7314yescomplemented
933#3549C2×C7312yescomplemented
934#3546C2×C7312yescomplemented
935#3546C2×C7312yescomplemented
936#3543C2×C7314yescomplemented
937#3543C2×C7312yescomplemented
938#3542C2×C7314yescomplemented
939#3542C2×C7314yescomplemented
940#3537C2×C7314yescomplemented
941#3532C2×C7318yescomplemented
942#3519C2×C7312yescomplemented
943#3514C2×C7312yescomplemented
944#3508C2×C7311yescharacteristic, complemented
945#3506C2×C7311yescharacteristic, complemented
946#3498C2×C7311yescharacteristic, complemented
947#3498C2×C7312yescomplemented
948#3496C2×C7312yescomplemented
949#3494C2×C7312yescomplemented
950#3488C2×C7312yescomplemented
951#3484C2×C7312yescomplemented
952#3484C2×C7314yescomplemented
953#3475C2×C7311yescharacteristic, complemented
954D4×#41C2×C7311yescharacteristic, complemented
955C2×D42C2×C7311yescharacteristic, complemented
956#3460C2×C7311yescharacteristic, complemented
957C2×#535C2×C7312yescomplemented
958C73#6291211yescharacteristic, direct product factor, Sylow
959C2×H(5,𝔽2)C22×C7312yescomplemented
960C2×H(5,𝔽2)C22×C7314yescomplemented
961C22×#41C22×C7312yescomplemented
962C23×D4C22×C7312yescomplemented
963C23×D4C22×C7312yescomplemented
964#562C22×C7318yescomplemented
965H(3,𝔽4)C22×C7318yescomplemented
966#560C22×C7318yescomplemented
967#560C22×C7318yescomplemented
968#560C22×C7318yescomplemented
969#560C22×C7318yescomplemented
970#559C22×C7314yescomplemented
971#559C22×C7312yescomplemented
972#559C22×C7312yescomplemented
973#556C22×C7311yescharacteristic, complemented
974#556C22×C7312yescomplemented
975#555C22×C7311yescharacteristic, complemented
976#555C22×C7312yescomplemented
977#555C22×C7314yescomplemented
978#555C22×C7314yescomplemented
979#554C22×C7311yescharacteristic, complemented
980#553C22×C7312yescomplemented
981#553C22×C7314yescomplemented
982#553C22×C7314yescomplemented
983#553C22×C7314yescomplemented
984#553C22×C7314yescomplemented
985#552C22×C7312yescomplemented
986#552C22×C7312yescomplemented
987#551C22×C7314yescomplemented
988#551C22×C7318yescomplemented
989#551C22×C7318yescomplemented
990#550C22×C7311yescharacteristic, complemented
991#550C22×C7312yescomplemented
992#550C22×C7314yescomplemented
993#550C22×C7314yescomplemented
994#550C22×C7312yescomplemented
995#550C22×C7312yescomplemented
996#550C22×C7312yescomplemented
997#550C22×C7312yescomplemented
998D4×Q8C22×C7311yescharacteristic, complemented
999#548C22×C7312yescomplemented
1000#548C22×C7314yescomplemented
1001#547C22×C7312yescomplemented
1002#547C22×C7311yescharacteristic, complemented
1003#547C22×C7312yescomplemented
1004#547C22×C7311yescharacteristic, complemented
1005#547C22×C7314yescomplemented
1006#546C22×C7312yescomplemented
1007#546C22×C7318yescomplemented
1008#546C22×C7314yescomplemented
1009#546C22×C7314yescomplemented
1010#546C22×C7314yescomplemented
1011#546C22×C7318yescomplemented
1012#546C22×C7312yescomplemented
1013#546C22×C7314yescomplemented
1014#546C22×C7318yescomplemented
1015#546C22×C7318yescomplemented
1016#546C22×C7318yescomplemented
1017#546C22×C7314yescomplemented
1018#546C22×C7314yescomplemented
1019#546C22×C7314yescomplemented
1020#546C22×C7314yescomplemented
1021#546C22×C7314yescomplemented
1022#546C22×C7314yescomplemented
1023#546C22×C7314yescomplemented
1024D42C22×C7312yescomplemented
1025D42C22×C7312yescomplemented
1026D42C22×C7314yescomplemented
1027D42C22×C7312yescomplemented
1028D42C22×C7314yescomplemented
1029D42C22×C7312yescomplemented
1030D42C22×C7312yescomplemented
1031D42C22×C7318yescomplemented
1032D42C22×C7314yescomplemented
1033D42C22×C7314yescomplemented
1034D42C22×C7311yescharacteristic, complemented
1035D42C22×C7314yescomplemented
1036D42C22×C7318yescomplemented
1037D42C22×C7318yescomplemented
1038D42C22×C7314yescomplemented
1039D42C22×C7314yescomplemented
1040D42C22×C7314yescomplemented
1041D42C22×C7314yescomplemented
1042D42C22×C7314yescomplemented
1043D42C22×C7314yescomplemented
1044D42C22×C7312yescomplemented
1045D42C22×C7312yescomplemented
1046#544C22×C7311yescharacteristic, complemented
1047#542C22×C7312yescomplemented
1048#542C22×C7312yescomplemented
1049#542C22×C7314yescomplemented
1050#542C22×C7314yescomplemented
1051#540C22×C7312yescomplemented
1052#540C22×C7312yescomplemented
1053#540C22×C7314yescomplemented
1054#540C22×C7314yescomplemented
1055#540C22×C7318yescomplemented
1056#540C22×C7314yescomplemented
1057#538C22×C7314yescomplemented
1058#538C22×C7314yescomplemented
1059#538C22×C7318yescomplemented
1060#538C22×C7318yescomplemented
1061#538C22×C7318yescomplemented
1062#538C22×C7318yescomplemented
1063#538C22×C7318yescomplemented
1064#537C22×C7311yescharacteristic, complemented
1065#537C22×C7314yescomplemented
1066#537C22×C7314yescomplemented
1067#535C22×C7311yescharacteristic, complemented
1068#535C22×C7312yescomplemented
1069#535C22×C7311yescharacteristic, complemented
1070#535C22×C7312yescomplemented
1071#535C22×C7312yescomplemented
1072#535C22×C7318yescomplemented
1073#535C22×C7318yescomplemented
1074#535C22×C7318yescomplemented
1075#535C22×C7314yescomplemented
1076#535C22×C7314yescomplemented
1077#535C22×C7314yescomplemented
1078#535C22×C7314yescomplemented
1079#535C22×C7314yescomplemented
1080#535C22×C7314yescomplemented
1081#535C22×C7314yescomplemented
1082#535C22×C7314yescomplemented
1083#535C22×C7314yescomplemented
1084#534C22×C7318yescomplemented
1085#534C22×C7318yescomplemented
1086#534C22×C7318yescomplemented
1087#534C22×C7318yescomplemented
1088#534C22×C7318yescomplemented
1089#533C22×C7311yescharacteristic, complemented
1090#532C22×C7311yescharacteristic, complemented
1091#532C22×C7312yescomplemented
1092#532C22×C7312yescomplemented
1093#532C22×C7312yescomplemented
1094#532C22×C7314yescomplemented
1095#532C22×C7312yescomplemented
1096#532C22×C7312yescomplemented
1097#532C22×C7312yescomplemented
1098C2×#127C22×C7311yescharacteristic, complemented
1099C2×#127C22×C7314yescomplemented
1100C2×#127C22×C7312yescomplemented
1101#529C22×C7314yescomplemented
1102#529C22×C7312yescomplemented
1103#529C22×C7312yescomplemented
1104#529C22×C7312yescomplemented
1105#529C22×C7314yescomplemented
1106C2×#124C22×C7314yescomplemented
1107#525C22×C7312yescomplemented
1108#525C22×C7312yescomplemented
1109#525C22×C7314yescomplemented
1110#525C22×C7314yescomplemented
1111#525C22×C7314yescomplemented
1112#525C22×C7314yescomplemented
1113C2×#121C22×C7312yescomplemented
1114C2×#121C22×C7312yescomplemented
1115C2×#121C22×C7314yescomplemented
1116C2×#121C22×C7314yescomplemented
1117C2×#121C22×C7314yescomplemented
1118C2×#120C22×C7314yescomplemented
1119C2×#120C22×C7318yescomplemented
1120C2×#120C22×C7318yescomplemented
1121#520C22×C7312yescomplemented
1122#518C22×C7312yescomplemented
1123#518C22×C7314yescomplemented
1124C4×#41C22×C7311yescharacteristic, complemented
1125C4×#41C22×C7311yescharacteristic, complemented
1126C4×#41C22×C7312yescomplemented
1127C2×C4×D4C22×C7311yescharacteristic, complemented
1128C2×C4×D4C22×C7311yescharacteristic, complemented
1129C2×C4×D4C22×C7312yescomplemented
1130C2×#117C22×C7312yescomplemented
1131C25C23×C7314yes—
1132H(5,𝔽2)—416no—
1133H(5,𝔽2)—48no—
1134C2×#41—48no—
1135C2×#41C23×C7311yescharacteristic
1136C2×#41C23×C7311yescharacteristic
1137C2×#41C23×C7312yes—
1138C2×#41C23×C7312yes—
1139C2×#41C23×C7314yes—
1140C2×#41C23×C7314yescomplemented
1141C2×#41C23×C7314yescomplemented
1142C2×#41C23×C7314yescomplemented
1143C2×#41C23×C7314yescomplemented
1144C2×#41C23×C7318yescomplemented
1145C2×#41C23×C7314yescomplemented
1146C2×#41C23×C7314yescomplemented
1147C2×#41C23×C7312yescomplemented
1148C2×#41C23×C7312yescomplemented
1149C2×#41C23×C7314yescomplemented
1150C22×Q8C23×C7312yescomplemented
1151C22×D4—48no—
1152C22×D4—48no—
1153C22×D4C23×C7311yescharacteristic
1154C22×D4C23×C7312yes—
1155C22×D4C23×C7311yescharacteristic
1156C22×D4C23×C7312yes—
1157C22×D4C23×C7314yes—
1158C22×D4C23×C7314yes—
1159C22×D4C23×C7314yes—
1160C22×D4C23×C7314yes—
1161C22×D4C23×C7318yes—
1162C22×D4C23×C7314yes—
1163C22×D4C23×C7312yes—
1164C22×D4C23×C7314yes—
1165C22×D4C23×C7318yes—
1166C22×D4C23×C7314yes—
1167C22×D4C23×C7314yes—
1168C22×D4C23×C7314yes—
1169C22×D4C23×C7312yes—
1170C22×D4C23×C7318yescomplemented
1171C22×D4C23×C7318yescomplemented
1172C22×D4C23×C7318yescomplemented
1173C22×D4C23×C7314yescomplemented
1174C22×D4C23×C7312yescomplemented
1175C22×D4C23×C7314yescomplemented
1176C22×D4C23×C7314yescomplemented
1177C22×D4C23×C7318yescomplemented
1178C22×D4C23×C7318yescomplemented
1179C22×D4C23×C7314yescomplemented
1180C23×C4C23×C7312yes—
1181C23×C4C23×C7312yes—
1182C23×C4C23×C7314yescomplemented
1183C4⋊Q8C23×C7312yescomplemented
1184C4⋊Q8C23×C7311yescharacteristic, complemented
1185C4⋊Q8C23×C7311yescharacteristic, complemented
1186C4⋊Q8C23×C7311yescharacteristic, complemented
1187C4⋊Q8C23×C7312yescomplemented
1188C4⋊Q8C23×C7312yescomplemented
1189#127C23×C7312yes—
1190#127C23×C7312yes—
1191#127C23×C7312yes—
1192#127C23×C7312yes—
1193#127C23×C7314yes—
1194#127C23×C7312yes—
1195#127C23×C7312yes—
1196#127C23×C7312yes—
1197#127C23×C7314yescomplemented
1198#127C23×C7311yescharacteristic, complemented
1199#127C23×C7318yescomplemented
1200#127C23×C7314yescomplemented
1201#127C23×C7318yescomplemented
1202#127C23×C7314yescomplemented
1203#127C23×C7314yescomplemented
1204#127C23×C7318yescomplemented
1205#126C23×C7314yescomplemented
1206#126C23×C7314yescomplemented
1207#126C23×C7314yescomplemented
1208#126C23×C7314yescomplemented
1209#126C23×C7314yescomplemented
1210#126C23×C7318yescomplemented
1211#126C23×C7318yescomplemented
1212#126C23×C7318yescomplemented
1213#125C23×C7312yescomplemented
1214#125C23×C7314yescomplemented
1215#125C23×C7312yescomplemented
1216#125C23×C7312yescomplemented
1217#125C23×C7312yescomplemented
1218#124C23×C7312yes—
1219#124C23×C7314yes—
1220#124C23×C7312yes—
1221#124C23×C7312yes—
1222#124C23×C7314yescomplemented
1223#124C23×C7318yescomplemented
1224#124C23×C7314yescomplemented
1225#124C23×C7318yescomplemented
1226#124C23×C7314yescomplemented
1227#124C23×C7314yescomplemented
1228#124C23×C7312yescomplemented
1229#124C23×C7318yescomplemented
1230#124C23×C7314yescomplemented
1231#124C23×C7314yescomplemented
1232#124C23×C7314yescomplemented
1233#124C23×C7314yescomplemented
1234#124C23×C7318yescomplemented
1235#124C23×C7318yescomplemented
1236#124C23×C7318yescomplemented
1237#123C23×C7314yes—
1238#123C23×C7314yes—
1239#123C23×C7314yes—
1240#123C23×C7314yescomplemented
1241#123C23×C7314yescomplemented
1242#123C23×C7318yescomplemented
1243#123C23×C7314yescomplemented
1244#123C23×C7318yescomplemented
1245#123C23×C7314yescomplemented
1246#123C23×C7314yescomplemented
1247#123C23×C7314yescomplemented
1248#123C23×C7318yescomplemented
1249#123C23×C7314yescomplemented
1250#123C23×C7314yescomplemented
1251#123C23×C7318yescomplemented
1252#123C23×C7318yescomplemented
1253#123C23×C7318yescomplemented
1254#123C23×C7318yescomplemented
1255#123C23×C7318yescomplemented
1256#123C23×C7318yescomplemented
1257#123C23×C7318yescomplemented
1258#123C23×C7318yescomplemented
1259C22⋊Q8C23×C7312yes—
1260C22⋊Q8C23×C7314yes—
1261C22⋊Q8C23×C7312yes—
1262C22⋊Q8C23×C7312yescomplemented
1263C22⋊Q8C23×C7312yescomplemented
1264C22⋊Q8C23×C7312yescomplemented
1265C22⋊Q8C23×C7312yescomplemented
1266C22⋊Q8C23×C7314yescomplemented
1267C22⋊Q8C23×C7314yescomplemented
1268C22⋊Q8C23×C7314yescomplemented
1269C22⋊Q8C23×C7312yescomplemented
1270C22⋊Q8C23×C7314yescomplemented
1271C22⋊Q8C23×C7312yescomplemented
1272C22⋊Q8C23×C7312yescomplemented
1273C22⋊Q8C23×C7314yescomplemented
1274C22⋊Q8C23×C7318yescomplemented
1275C22⋊Q8C23×C7318yescomplemented
1276#121C23×C7314yes—
1277#121C23×C7312yes—
1278#121C23×C7312yes—
1279#121C23×C7314yes—
1280#121C23×C7314yes—
1281#121C23×C7314yes—
1282#121C23×C7314yes—
1283#121C23×C7314yes—
1284#121C23×C7314yes—
1285#121C23×C7318yes—
1286#121C23×C7314yes—
1287#121C23×C7312yes—
1288#121C23×C7314yes—
1289#121C23×C7314yes—
1290#121C23×C7314yes—
1291#121C23×C7312yes—
1292#121C23×C7312yes—
1293#121C23×C7312yes—
1294#121C23×C7312yes—
1295#121C23×C7312yes—
1296#121C23×C7312yescomplemented
1297#121C23×C7314yescomplemented
1298#121C23×C7312yescomplemented
1299#121C23×C7314yescomplemented
1300#121C23×C7318yescomplemented
1301#121C23×C7318yescomplemented
1302#121C23×C7318yescomplemented
1303#121C23×C7318yescomplemented
1304#121C23×C7314yescomplemented
1305#121C23×C7314yescomplemented
1306#121C23×C7318yescomplemented
1307#121C23×C7318yescomplemented
1308#121C23×C7312yescomplemented
1309#121C23×C7314yescomplemented
1310#121C23×C7312yescomplemented
1311#121C23×C7314yescomplemented
1312#121C23×C7312yescomplemented
1313#121C23×C7314yescomplemented
1314#121C23×C7314yescomplemented
1315#121C23×C7314yescomplemented
1316#121C23×C7318yescomplemented
1317#121C23×C7314yescomplemented
1318#121C23×C7312yescomplemented
1319#121C23×C7314yescomplemented
1320#121C23×C7314yescomplemented
1321#121C23×C7312yescomplemented
1322#121C23×C7314yescomplemented
1323#121C23×C7314yescomplemented
1324#121C23×C7318yescomplemented
1325#121C23×C7318yescomplemented
1326#121C23×C7318yescomplemented
1327#121C23×C7318yescomplemented
1328#121C23×C7318yescomplemented
1329#121C23×C7318yescomplemented
1330#121C23×C7318yescomplemented
1331#121C23×C7318yescomplemented
1332#121C23×C7318yescomplemented
1333#121C23×C7318yescomplemented
1334#121C23×C7318yescomplemented
1335#121C23×C7318yescomplemented
1336#121C23×C7318yescomplemented
1337#121C23×C7318yescomplemented
1338#120C23×C7314yes—
1339#120C23×C7318yes—
1340#120C23×C7314yes—
1341#120C23×C7314yes—
1342#120C23×C7314yes—
1343#120C23×C7318yes—
1344#120C23×C7318yes—
1345#120C23×C7318yes—
1346#120C23×C7318yes—
1347#120C23×C7318yes—
1348#120C23×C7318yes—
1349#120C23×C7314yes—
1350#120C23×C7318yescomplemented
1351#120C23×C7318yescomplemented
1352#120C23×C7318yescomplemented
1353#120C23×C7318yescomplemented
1354#120C23×C7318yescomplemented
1355#120C23×C7318yescomplemented
1356#120C23×C7318yescomplemented
1357#120C23×C7318yescomplemented
1358#120C23×C7318yescomplemented
1359#120C23×C7314yescomplemented
1360#120C23×C7318yescomplemented
1361#120C23×C7318yescomplemented
1362#120C23×C7318yescomplemented
1363#120C23×C7318yescomplemented
1364#120C23×C7318yescomplemented
1365#120C23×C7318yescomplemented
1366C4×Q8C23×C7311yescharacteristic, complemented
1367C4×Q8C23×C7311yescharacteristic, complemented
1368C4×Q8C23×C7312yescomplemented
1369C4×Q8C23×C7311yescharacteristic, complemented
1370C4×Q8C23×C7311yescharacteristic, complemented
1371C4×Q8C23×C7312yescomplemented
1372C4×Q8C23×C7314yescomplemented
1373C4×Q8C23×C7312yescomplemented
1374C4×D4C23×C7311yescharacteristic
1375C4×D4C23×C7311yescharacteristic
1376C4×D4C23×C7312yes—
1377C4×D4C23×C7312yes—
1378C4×D4C23×C7312yes—
1379C4×D4C23×C7311yescharacteristic
1380C4×D4C23×C7312yes—
1381C4×D4C23×C7312yes—
1382C4×D4C23×C7311yescharacteristic
1383C4×D4C23×C7312yes—
1384C4×D4C23×C7312yes—
1385C4×D4C23×C7312yes—
1386C4×D4C23×C7312yes—
1387C4×D4C23×C7312yes—
1388C4×D4C23×C7312yes—
1389C4×D4C23×C7312yes—
1390C4×D4C23×C7318yes—
1391C4×D4C23×C7314yescomplemented
1392C4×D4C23×C7312yescomplemented
1393C4×D4C23×C7314yescomplemented
1394C4×D4C23×C7312yescomplemented
1395C4×D4C23×C7314yescomplemented
1396C4×D4C23×C7311yescharacteristic, complemented
1397C4×D4C23×C7311yescharacteristic, complemented
1398C4×D4C23×C7314yescomplemented
1399C4×D4C23×C7311yescharacteristic, complemented
1400C4×D4C23×C7311yescharacteristic, complemented
1401C4×D4C23×C7318yescomplemented
1402C4×D4C23×C7318yescomplemented
1403C4×D4C23×C7314yescomplemented
1404C4×D4C23×C7314yescomplemented
1405C4×D4C23×C7314yescomplemented
1406C4×D4C23×C7314yescomplemented
1407C4×D4C23×C7314yescomplemented
1408C4×D4C23×C7314yescomplemented
1409C4×D4C23×C7314yescomplemented
1410C4×D4C23×C7314yescomplemented
1411C4×D4C23×C7312yescomplemented
1412C4×D4C23×C7314yescomplemented
1413C4×D4C23×C7314yescomplemented
1414C4×D4C23×C7314yescomplemented
1415C4×D4C23×C7318yescomplemented
1416C4×D4C23×C7318yescomplemented
1417C4×D4C23×C7314yescomplemented
1418C4×D4C23×C7318yescomplemented
1419C4×D4C23×C7314yescomplemented
1420#117C23×C7311yescharacteristic
1421#117C23×C7312yes—
1422#117C23×C7314yes—
1423#117C23×C7311yescharacteristic
1424#117C23×C7314yescomplemented
1425#117C23×C7312yescomplemented
1426#117C23×C7312yescomplemented
1427#117C23×C7312yescomplemented
1428#117C23×C7312yescomplemented
1429#117C23×C7314yescomplemented
1430#117C23×C7312yescomplemented
1431#117C23×C7314yescomplemented
1432#117C23×C7314yescomplemented
1433#117C23×C7314yescomplemented
1434#117C23×C7318yescomplemented
1435C2×C4⋊C4C23×C7311yescharacteristic
1436C2×C4⋊C4C23×C7311yescharacteristic
1437C2×C4⋊C4C23×C7312yescomplemented
1438C2×C4⋊C4C23×C7312yescomplemented
1439C2×C4⋊C4C23×C7312yescomplemented
1440C2×C4⋊C4C23×C7314yescomplemented
1441C2×C22⋊C4C23×C7314yes—
1442C2×C22⋊C4C23×C7312yes—
1443C2×C22⋊C4C23×C7312yes—
1444C2×C22⋊C4C23×C7318yes—
1445C2×C22⋊C4C23×C7314yes—
1446C2×C22⋊C4C23×C7314yescomplemented
1447C2×C22⋊C4C23×C7318yescomplemented
1448C2×C22⋊C4C23×C7318yescomplemented
1449C2×C22⋊C4C23×C7318yescomplemented
1450C2×C22⋊C4C23×C7318yescomplemented
1451C2×C22⋊C4C23×C7318yescomplemented
1452C2×C42C23×C7311yescharacteristic
1453C2×C42C23×C7314yescomplemented
1454C2×C42C23×C7312yescomplemented
1455C2×C42C23×C7312yescomplemented
1456C24—48no—
1457C24—48no—
1458C24—84no—
1459C24C24×C7312yes—
1460C24C24×C7314yes—
1461C24C24×C7312yes—
1462C24C24×C7318yes—
1463C24C24×C7314yes—
1464C24C24×C7318yes—
1465C24C24×C7318yes—
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×C7312yes—
1483C2×Q8C24×C7311yescharacteristic
1484C2×Q8C24×C7311yescharacteristic
1485C2×Q8C24×C7312yes—
1486C2×Q8C24×C7312yes—
1487C2×Q8C24×C7314yes—
1488C2×Q8C24×C7314yes—
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×C7312yes—
1517C2×D4C24×C7314yes—
1518C2×D4C24×C7312yes—
1519C2×D4C24×C7312yes—
1520C2×D4C24×C7312yes—
1521C2×D4C24×C7311yescharacteristic
1522C2×D4C24×C7312yes—
1523C2×D4C24×C7318yes—
1524C2×D4C24×C7314yes—
1525C2×D4C24×C7314yes—
1526C2×D4C24×C7314yes—
1527C2×D4C24×C7314yes—
1528C2×D4C24×C7314yes—
1529C2×D4C24×C7312yes—
1530C2×D4C24×C7311yescharacteristic
1531C2×D4C24×C7312yes—
1532C2×D4C24×C7311yescharacteristic
1533C2×D4C24×C7314yes—
1534C2×D4C24×C7314yes—
1535C2×D4C24×C7314yes—
1536C2×D4C24×C7314yes—
1537C2×D4C24×C7314yes—
1538C2×D4C24×C7318yes—
1539C2×D4C24×C7318yes—
1540C2×D4C24×C7314yes—
1541C2×D4C24×C7318yes—
1542C2×D4C24×C7312yes—
1543C2×D4C24×C7318yes—
1544C2×D4C24×C7318yes—
1545C2×D4C24×C7318yes—
1546C2×D4C24×C7314yes—
1547C2×D4C24×C7314yes—
1548C2×D4C24×C7318yes—
1549C2×D4C24×C7314yes—
1550C2×D4C24×C7318yes—
1551C2×D4C24×C7318yes—
1552C2×D4C24×C7314yes—
1553C2×D4C24×C7318yes—
1554C2×D4C24×C7318yes—
1555C2×D4C24×C7314yes—
1556C2×D4C24×C7314yes—
1557C2×D4C24×C7314yes—
1558C2×D4C24×C7311yescharacteristic
1559C22×C4—28no—
1560C22×C4—44no—
1561C22×C4—48no—
1562C22×C4C24×C7311yescharacteristic
1563C22×C4C24×C7312yes—
1564C22×C4C24×C7314yes—
1565C22×C4C24×C7312yes—
1566C22×C4C24×C7312yes—
1567C22×C4C24×C7312yes—
1568C22×C4C24×C7312yes—
1569C22×C4C24×C7312yes—
1570C22×C4C24×C7312yes—
1571C22×C4C24×C7314yes—
1572C22×C4C24×C7312yes—
1573C22×C4C24×C7312yes—
1574C22×C4C24×C7314yes—
1575C22×C4C24×C7311yescharacteristic
1576C22×C4C24×C7314yes—
1577C22×C4C24×C7312yes—
1578C22×C4C24×C7312yes—
1579C22×C4C24×C7312yes—
1580C22×C4C24×C7318yes—
1581C22×C4C24×C7318yes—
1582C22×C4C24×C7314yes—
1583C22×C4C24×C7318yes—
1584C22×C4C24×C7314yes—
1585C22×C4C24×C7318yes—
1586C22×C4C24×C7314yes—
1587C22×C4C24×C7314yes—
1588C22×C4C24×C7311yescharacteristic
1589C4⋊C4C24×C7312yes—
1590C4⋊C4C24×C7311yescharacteristic
1591C4⋊C4C24×C7311yescharacteristic
1592C4⋊C4C24×C7312yes—
1593C4⋊C4C24×C7312yes—
1594C4⋊C4C24×C7312yes—
1595C4⋊C4C24×C7311yescharacteristic
1596C4⋊C4C24×C7311yescharacteristic
1597C4⋊C4C24×C7312yes—
1598C4⋊C4C24×C7314yes—
1599C4⋊C4C24×C7314yes—
1600C4⋊C4C24×C7312yes—
1601C4⋊C4C24×C7318yes—
1602C4⋊C4C24×C7314yes—
1603C4⋊C4C24×C7311yescharacteristic
1604C4⋊C4C24×C7311yescharacteristic
1605C4⋊C4C24×C7312yes—
1606C4⋊C4C24×C7314yes—
1607C4⋊C4C24×C7314yes—
1608C4⋊C4C24×C7312yes—
1609C4⋊C4C24×C7312yes—
1610C4⋊C4C24×C7312yes—
1611C4⋊C4C24×C7312yes—
1612C4⋊C4C24×C7314yes—
1613C4⋊C4C24×C7314yes—
1614C4⋊C4C24×C7314yes—
1615C4⋊C4C24×C7314yes—
1616C4⋊C4C24×C7312yes—
1617C4⋊C4C24×C7314yes—
1618C4⋊C4C24×C7314yes—
1619C4⋊C4C24×C7314yes—
1620C4⋊C4C24×C7312yes—
1621C22⋊C4C24×C7312yes—
1622C22⋊C4C24×C7314yes—
1623C22⋊C4C24×C7312yes—
1624C22⋊C4C24×C7312yes—
1625C22⋊C4C24×C7318yes—
1626C22⋊C4C24×C7312yes—
1627C22⋊C4C24×C7314yes—
1628C22⋊C4C24×C7314yes—
1629C22⋊C4C24×C7318yes—
1630C22⋊C4C24×C7314yes—
1631C22⋊C4C24×C7312yes—
1632C22⋊C4C24×C7312yes—
1633C22⋊C4C24×C7314yes—
1634C22⋊C4C24×C7318yes—
1635C22⋊C4C24×C7318yes—
1636C22⋊C4C24×C7314yes—
1637C22⋊C4C24×C7314yes—
1638C22⋊C4C24×C7314yes—
1639C22⋊C4C24×C7318yes—
1640C22⋊C4C24×C7314yes—
1641C22⋊C4C24×C7314yes—
1642C22⋊C4C24×C7318yes—
1643C22⋊C4C24×C7314yes—
1644C22⋊C4C24×C7314yes—
1645C22⋊C4C24×C7314yes—
1646C22⋊C4C24×C7318yes—
1647C22⋊C4C24×C7314yes—
1648C22⋊C4C24×C7314yes—
1649C22⋊C4C24×C7318yes—
1650C22⋊C4C24×C7318yes—
1651C22⋊C4C24×C7318yes—
1652C22⋊C4C24×C7314yes—
1653C22⋊C4C24×C7314yes—
1654C22⋊C4C24×C7312yes—
1655C22⋊C4C24×C7312yes—
1656C22⋊C4C24×C7312yes—
1657C22⋊C4C24×C7318yes—
1658C22⋊C4C24×C7312yes—
1659C22⋊C4C24×C7314yes—
1660C22⋊C4C24×C7314yes—
1661C22⋊C4C24×C7314yes—
1662C22⋊C4C24×C7314yes—
1663C42C24×C7311yescharacteristic
1664C42C24×C7311yescharacteristic
1665C42C24×C7311yescharacteristic
1666C42C24×C7311yescharacteristic
1667C42C24×C7312yes—
1668C42C24×C7314yes—
1669C42C24×C7312yes—
1670C42C24×C7314yes—
1671C42C24×C7314yes—
1672C42C24×C7312yes—
1673C42C24×C7312yes—
1674C42C24×C7312yes—
1675C42C24×C7312yes—
1676C42C24×C7318yes—
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×C7312yes—
1700C23C25×C7314yes—
1701C23C25×C7312yes—
1702C23C25×C7318yes—
1703C23C25×C7314yes—
1704C23C25×C7312yes—
1705C23C25×C7311yescharacteristic
1706C23C25×C7312yes—
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)×C7314yescomplemented
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)×C7314yescomplemented
1784C2×C4C25×C7311yescharacteristic
1785C2×C4C25×C7314yes—
1786C2×C4C25×C7311yescharacteristic
1787C2×C4C25×C7312yes—
1788C2×C4C25×C7312yes—
1789C2×C4C25×C7312yes—
1790C2×C4C25×C7312yes—
1791C2×C4C25×C7312yes—
1792C2×C4C25×C7312yes—
1793C2×C4C25×C7314yes—
1794C2×C4C25×C7314yes—
1795C2×C4C25×C7314yes—
1796C2×C4C25×C7312yes—
1797C2×C4C25×C7311yescharacteristic
1798C2×C4C25×C7312yes—
1799C2×C4C25×C7311yescharacteristic
1800C2×C4C25×C7311yescharacteristic
1801C2×C4C25×C7311yescharacteristic
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)×C7312yes—
1832C22C2×H(5,𝔽2)×C7314yes—
1833C22C26×C7311yescharacteristic
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)×C7312yes—
1850C4C2×H(5,𝔽2)×C7312yes—
1851C4C2×H(5,𝔽2)×C7312yes—
1852C2—22no—
1853C2—24no—
1854C2—42no—
1855C2—44no—
1856C2—48no—
1857C2—42no—
1858C2—44no—
1859C2—42no—
1860C2C22×H(5,𝔽2)×C7311yescharacteristic
1861C2C22×H(5,𝔽2)×C7311yescharacteristic
1862C2C73×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C73C26
commutator, Frattini, cosocleC22C26×C73
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3558C2semidirect
2. C73×#3549C2semidirect
3. C73×#3546C2semidirect
4. C73×#3546C2semidirect
5. C73×#3543C2semidirect
6. C73×#3543C2semidirect
7. C73×#3542C2semidirect
8. C73×#3542C2semidirect
9. C73×#3537C2semidirect
10. C73×#3532C2semidirect
11. C73×#3519C2semidirect
12. C73×#3514C2semidirect
13. C73×#3508C2semidirect
14. C73×#3506C2semidirect
15. C73×#3498C2semidirect
16. C73×#3498C2semidirect
17. C73×#3496C2semidirect
18. C73×#3494C2semidirect
19. C73×#3488C2semidirect
20. C73×#3484C2semidirect
21. C73×#3484C2semidirect
22. C73×#3475C2semidirect
23. D4×#41×C73C2semidirect
24. C2×D42×C73C2semidirect
25. C73×#3460C2semidirect
26. C2×#535×C73C2semidirect
27. C2×H(5,𝔽2)×C73C22semidirect
28. C2×H(5,𝔽2)×C73C22semidirect
29. C22×#41×C73C22semidirect
30. C23×D4×C73C22semidirect
31. C23×D4×C73C22semidirect
32. #562×C73C22semidirect
33. H(3,𝔽4)×C73C22semidirect
34. #560×C73C22semidirect
35. #560×C73C22semidirect
36. #560×C73C22semidirect
37. #560×C73C22semidirect
38. #559×C73C22semidirect
39. #559×C73C22semidirect
40. #559×C73C22semidirect
41. #556×C73C22semidirect
42. #556×C73C22semidirect
43. #555×C73C22semidirect
44. #555×C73C22semidirect
45. #555×C73C22semidirect
46. #555×C73C22semidirect
47. #554×C73C22semidirect
48. #553×C73C22semidirect
49. #553×C73C22semidirect
50. #553×C73C22semidirect
51. #553×C73C22semidirect
52. #553×C73C22semidirect
53. #552×C73C22semidirect
54. #552×C73C22semidirect
55. #551×C73C22semidirect
56. #551×C73C22semidirect
57. #551×C73C22semidirect
58. #550×C73C22semidirect
59. #550×C73C22semidirect
60. #550×C73C22semidirect
61. #550×C73C22semidirect
62. #550×C73C22semidirect
63. #550×C73C22semidirect
64. #550×C73C22semidirect
65. #550×C73C22semidirect
66. D4×Q8×C73C22semidirect
67. #548×C73C22semidirect
68. #548×C73C22semidirect
69. #547×C73C22semidirect
70. #547×C73C22semidirect
71. #547×C73C22semidirect
72. #547×C73C22semidirect
73. #547×C73C22semidirect
74. #546×C73C22semidirect
75. #546×C73C22semidirect
76. #546×C73C22semidirect
77. #546×C73C22semidirect
78. #546×C73C22semidirect
79. #546×C73C22semidirect
80. #546×C73C22semidirect
81. #546×C73C22semidirect
82. #546×C73C22semidirect
83. #546×C73C22semidirect
84. #546×C73C22semidirect
85. #546×C73C22semidirect
86. #546×C73C22semidirect
87. #546×C73C22semidirect
88. #546×C73C22semidirect
89. #546×C73C22semidirect
90. #546×C73C22semidirect
91. #546×C73C22semidirect
92. D42×C73C22semidirect
93. D42×C73C22semidirect
94. D42×C73C22semidirect
95. D42×C73C22semidirect
96. D42×C73C22semidirect
97. D42×C73C22semidirect
98. D42×C73C22semidirect
99. D42×C73C22semidirect
100. D42×C73C22semidirect
101. D42×C73C22semidirect
102. D42×C73C22semidirect
103. D42×C73C22semidirect
104. D42×C73C22semidirect
105. D42×C73C22semidirect
106. D42×C73C22semidirect
107. D42×C73C22semidirect
108. D42×C73C22semidirect
109. D42×C73C22semidirect
110. D42×C73C22semidirect
111. D42×C73C22semidirect
112. D42×C73C22semidirect
113. D42×C73C22semidirect
114. #544×C73C22semidirect
115. #542×C73C22semidirect
116. #542×C73C22semidirect
117. #542×C73C22semidirect
118. #542×C73C22semidirect
119. #540×C73C22semidirect
120. #540×C73C22semidirect
121. #540×C73C22semidirect
122. #540×C73C22semidirect
123. #540×C73C22semidirect
124. #540×C73C22semidirect
125. #538×C73C22semidirect
126. #538×C73C22semidirect
127. #538×C73C22semidirect
128. #538×C73C22semidirect
129. #538×C73C22semidirect
130. #538×C73C22semidirect
131. #538×C73C22semidirect
132. #537×C73C22semidirect
133. #537×C73C22semidirect
134. #537×C73C22semidirect
135. #535×C73C22semidirect
136. #535×C73C22semidirect
137. #535×C73C22semidirect
138. #535×C73C22semidirect
139. #535×C73C22semidirect
140. #535×C73C22semidirect
141. #535×C73C22semidirect
142. #535×C73C22semidirect
143. #535×C73C22semidirect
144. #535×C73C22semidirect
145. #535×C73C22semidirect
146. #535×C73C22semidirect
147. #535×C73C22semidirect
148. #535×C73C22semidirect
149. #535×C73C22semidirect
150. #535×C73C22semidirect
151. #535×C73C22semidirect
152. #534×C73C22semidirect
153. #534×C73C22semidirect
154. #534×C73C22semidirect
155. #534×C73C22semidirect
156. #534×C73C22semidirect
157. #533×C73C22semidirect
158. #532×C73C22semidirect
159. #532×C73C22semidirect
160. #532×C73C22semidirect
161. #532×C73C22semidirect
162. #532×C73C22semidirect
163. #532×C73C22semidirect
164. #532×C73C22semidirect
165. #532×C73C22semidirect
166. C2×#127×C73C22semidirect
167. C2×#127×C73C22semidirect
168. C2×#127×C73C22semidirect
169. #529×C73C22semidirect
170. #529×C73C22semidirect
171. #529×C73C22semidirect
172. #529×C73C22semidirect
173. #529×C73C22semidirect
174. C2×#124×C73C22semidirect
175. #525×C73C22semidirect
176. #525×C73C22semidirect
177. #525×C73C22semidirect
178. #525×C73C22semidirect
179. #525×C73C22semidirect
180. #525×C73C22semidirect
181. C2×#121×C73C22semidirect
182. C2×#121×C73C22semidirect
183. C2×#121×C73C22semidirect
184. C2×#121×C73C22semidirect
185. C2×#121×C73C22semidirect
186. C2×#120×C73C22semidirect
187. C2×#120×C73C22semidirect
188. C2×#120×C73C22semidirect
189. #520×C73C22semidirect
190. #518×C73C22semidirect
191. #518×C73C22semidirect
192. C4×#41×C73C22semidirect
193. C4×#41×C73C22semidirect
194. C4×#41×C73C22semidirect
195. C2×C4×D4×C73C22semidirect
196. C2×C4×D4×C73C22semidirect
197. C2×C4×D4×C73C22semidirect
198. C2×#117×C73C22semidirect
208. C2×#41×C73C23semidirect
209. C2×#41×C73C23semidirect
210. C2×#41×C73C23semidirect
211. C2×#41×C73C23semidirect
212. C2×#41×C73C23semidirect
213. C2×#41×C73C23semidirect
214. C2×#41×C73C23semidirect
215. C2×#41×C73C23semidirect
216. C2×#41×C73C23semidirect
217. C2×#41×C73C23semidirect
218. C22×Q8×C73C23semidirect
238. C22×D4×C73C23semidirect
239. C22×D4×C73C23semidirect
240. C22×D4×C73C23semidirect
241. C22×D4×C73C23semidirect
242. C22×D4×C73C23semidirect
243. C22×D4×C73C23semidirect
244. C22×D4×C73C23semidirect
245. C22×D4×C73C23semidirect
246. C22×D4×C73C23semidirect
247. C22×D4×C73C23semidirect
250. C23×C4×C73C23semidirect
251. C4⋊Q8×C73C23semidirect
252. C4⋊Q8×C73C23semidirect
253. C4⋊Q8×C73C23semidirect
254. C4⋊Q8×C73C23semidirect
255. C4⋊Q8×C73C23semidirect
256. C4⋊Q8×C73C23semidirect
265. #127×C73C23semidirect
266. #127×C73C23semidirect
267. #127×C73C23semidirect
268. #127×C73C23semidirect
269. #127×C73C23semidirect
270. #127×C73C23semidirect
271. #127×C73C23semidirect
272. #127×C73C23semidirect
273. #126×C73C23semidirect
274. #126×C73C23semidirect
275. #126×C73C23semidirect
276. #126×C73C23semidirect
277. #126×C73C23semidirect
278. #126×C73C23semidirect
279. #126×C73C23semidirect
280. #126×C73C23semidirect
281. #125×C73C23semidirect
282. #125×C73C23semidirect
283. #125×C73C23semidirect
284. #125×C73C23semidirect
285. #125×C73C23semidirect
290. #124×C73C23semidirect
291. #124×C73C23semidirect
292. #124×C73C23semidirect
293. #124×C73C23semidirect
294. #124×C73C23semidirect
295. #124×C73C23semidirect
296. #124×C73C23semidirect
297. #124×C73C23semidirect
298. #124×C73C23semidirect
299. #124×C73C23semidirect
300. #124×C73C23semidirect
301. #124×C73C23semidirect
302. #124×C73C23semidirect
303. #124×C73C23semidirect
304. #124×C73C23semidirect
308. #123×C73C23semidirect
309. #123×C73C23semidirect
310. #123×C73C23semidirect
311. #123×C73C23semidirect
312. #123×C73C23semidirect
313. #123×C73C23semidirect
314. #123×C73C23semidirect
315. #123×C73C23semidirect
316. #123×C73C23semidirect
317. #123×C73C23semidirect
318. #123×C73C23semidirect
319. #123×C73C23semidirect
320. #123×C73C23semidirect
321. #123×C73C23semidirect
322. #123×C73C23semidirect
323. #123×C73C23semidirect
324. #123×C73C23semidirect
325. #123×C73C23semidirect
326. #123×C73C23semidirect
330. C22⋊Q8×C73C23semidirect
331. C22⋊Q8×C73C23semidirect
332. C22⋊Q8×C73C23semidirect
333. C22⋊Q8×C73C23semidirect
334. C22⋊Q8×C73C23semidirect
335. C22⋊Q8×C73C23semidirect
336. C22⋊Q8×C73C23semidirect
337. C22⋊Q8×C73C23semidirect
338. C22⋊Q8×C73C23semidirect
339. C22⋊Q8×C73C23semidirect
340. C22⋊Q8×C73C23semidirect
341. C22⋊Q8×C73C23semidirect
342. C22⋊Q8×C73C23semidirect
343. C22⋊Q8×C73C23semidirect
364. #121×C73C23semidirect
365. #121×C73C23semidirect
366. #121×C73C23semidirect
367. #121×C73C23semidirect
368. #121×C73C23semidirect
369. #121×C73C23semidirect
370. #121×C73C23semidirect
371. #121×C73C23semidirect
372. #121×C73C23semidirect
373. #121×C73C23semidirect
374. #121×C73C23semidirect
375. #121×C73C23semidirect
376. #121×C73C23semidirect
377. #121×C73C23semidirect
378. #121×C73C23semidirect
379. #121×C73C23semidirect
380. #121×C73C23semidirect
381. #121×C73C23semidirect
382. #121×C73C23semidirect
383. #121×C73C23semidirect
384. #121×C73C23semidirect
385. #121×C73C23semidirect
386. #121×C73C23semidirect
387. #121×C73C23semidirect
388. #121×C73C23semidirect
389. #121×C73C23semidirect
390. #121×C73C23semidirect
391. #121×C73C23semidirect
392. #121×C73C23semidirect
393. #121×C73C23semidirect
394. #121×C73C23semidirect
395. #121×C73C23semidirect
396. #121×C73C23semidirect
397. #121×C73C23semidirect
398. #121×C73C23semidirect
399. #121×C73C23semidirect
400. #121×C73C23semidirect
401. #121×C73C23semidirect
402. #121×C73C23semidirect
403. #121×C73C23semidirect
404. #121×C73C23semidirect
405. #121×C73C23semidirect
418. #120×C73C23semidirect
419. #120×C73C23semidirect
420. #120×C73C23semidirect
421. #120×C73C23semidirect
422. #120×C73C23semidirect
423. #120×C73C23semidirect
424. #120×C73C23semidirect
425. #120×C73C23semidirect
426. #120×C73C23semidirect
427. #120×C73C23semidirect
428. #120×C73C23semidirect
429. #120×C73C23semidirect
430. #120×C73C23semidirect
431. #120×C73C23semidirect
432. #120×C73C23semidirect
433. #120×C73C23semidirect
434. C4×Q8×C73C23semidirect
435. C4×Q8×C73C23semidirect
436. C4×Q8×C73C23semidirect
437. C4×Q8×C73C23semidirect
438. C4×Q8×C73C23semidirect
439. C4×Q8×C73C23semidirect
440. C4×Q8×C73C23semidirect
441. C4×Q8×C73C23semidirect
459. C4×D4×C73C23semidirect
460. C4×D4×C73C23semidirect
461. C4×D4×C73C23semidirect
462. C4×D4×C73C23semidirect
463. C4×D4×C73C23semidirect
464. C4×D4×C73C23semidirect
465. C4×D4×C73C23semidirect
466. C4×D4×C73C23semidirect
467. C4×D4×C73C23semidirect
468. C4×D4×C73C23semidirect
469. C4×D4×C73C23semidirect
470. C4×D4×C73C23semidirect
471. C4×D4×C73C23semidirect
472. C4×D4×C73C23semidirect
473. C4×D4×C73C23semidirect
474. C4×D4×C73C23semidirect
475. C4×D4×C73C23semidirect
476. C4×D4×C73C23semidirect
477. C4×D4×C73C23semidirect
478. C4×D4×C73C23semidirect
479. C4×D4×C73C23semidirect
480. C4×D4×C73C23semidirect
481. C4×D4×C73C23semidirect
482. C4×D4×C73C23semidirect
483. C4×D4×C73C23semidirect
484. C4×D4×C73C23semidirect
485. C4×D4×C73C23semidirect
486. C4×D4×C73C23semidirect
487. C4×D4×C73C23semidirect
492. #117×C73C23semidirect
493. #117×C73C23semidirect
494. #117×C73C23semidirect
495. #117×C73C23semidirect
496. #117×C73C23semidirect
497. #117×C73C23semidirect
498. #117×C73C23semidirect
499. #117×C73C23semidirect
500. #117×C73C23semidirect
501. #117×C73C23semidirect
502. #117×C73C23semidirect
505. C2×C4⋊C4×C73C23semidirect
506. C2×C4⋊C4×C73C23semidirect
507. C2×C4⋊C4×C73C23semidirect
508. C2×C4⋊C4×C73C23semidirect
514. C2×C22⋊C4×C73C23semidirect
515. C2×C22⋊C4×C73C23semidirect
516. C2×C22⋊C4×C73C23semidirect
517. C2×C22⋊C4×C73C23semidirect
518. C2×C22⋊C4×C73C23semidirect
519. C2×C22⋊C4×C73C23semidirect
521. C2×C42×C73C23semidirect
522. C2×C42×C73C23semidirect
523. C2×C42×C73C23semidirect
824. D4×C73H(5,𝔽2)semidirect
851. C2×C4×C73H(5,𝔽2)semidirect
920. #62912C73direct (N × H)
932. #3558C2×C73semidirect
933. #3549C2×C73semidirect
934. #3546C2×C73semidirect
935. #3546C2×C73semidirect
936. #3543C2×C73semidirect
937. #3543C2×C73semidirect
938. #3542C2×C73semidirect
939. #3542C2×C73semidirect
940. #3537C2×C73semidirect
941. #3532C2×C73semidirect
942. #3519C2×C73semidirect
943. #3514C2×C73semidirect
944. #3508C2×C73semidirect
945. #3506C2×C73semidirect
946. #3498C2×C73semidirect
947. #3498C2×C73semidirect
948. #3496C2×C73semidirect
949. #3494C2×C73semidirect
950. #3488C2×C73semidirect
951. #3484C2×C73semidirect
952. #3484C2×C73semidirect
953. #3475C2×C73semidirect
954. D4×#41C2×C73semidirect
955. C2×D42C2×C73semidirect
956. #3460C2×C73semidirect
957. C2×#535C2×C73semidirect
958. C73#62912direct (N × H)
959. C2×H(5,𝔽2)C22×C73semidirect
960. C2×H(5,𝔽2)C22×C73semidirect
961. C22×#41C22×C73semidirect
962. C23×D4C22×C73semidirect
963. C23×D4C22×C73semidirect
964. #562C22×C73semidirect
965. H(3,𝔽4)C22×C73semidirect
966. #560C22×C73semidirect
967. #560C22×C73semidirect
968. #560C22×C73semidirect
969. #560C22×C73semidirect
970. #559C22×C73semidirect
971. #559C22×C73semidirect
972. #559C22×C73semidirect
973. #556C22×C73semidirect
974. #556C22×C73semidirect
975. #555C22×C73semidirect
976. #555C22×C73semidirect
977. #555C22×C73semidirect
978. #555C22×C73semidirect
979. #554C22×C73semidirect
980. #553C22×C73semidirect
981. #553C22×C73semidirect
982. #553C22×C73semidirect
983. #553C22×C73semidirect
984. #553C22×C73semidirect
985. #552C22×C73semidirect
986. #552C22×C73semidirect
987. #551C22×C73semidirect
988. #551C22×C73semidirect
989. #551C22×C73semidirect
990. #550C22×C73semidirect
991. #550C22×C73semidirect
992. #550C22×C73semidirect
993. #550C22×C73semidirect
994. #550C22×C73semidirect
995. #550C22×C73semidirect
996. #550C22×C73semidirect
997. #550C22×C73semidirect
998. D4×Q8C22×C73semidirect
999. #548C22×C73semidirect
1000. #548C22×C73semidirect
1001. #547C22×C73semidirect
1002. #547C22×C73semidirect
1003. #547C22×C73semidirect
1004. #547C22×C73semidirect
1005. #547C22×C73semidirect
1006. #546C22×C73semidirect
1007. #546C22×C73semidirect
1008. #546C22×C73semidirect
1009. #546C22×C73semidirect
1010. #546C22×C73semidirect
1011. #546C22×C73semidirect
1012. #546C22×C73semidirect
1013. #546C22×C73semidirect
1014. #546C22×C73semidirect
1015. #546C22×C73semidirect
1016. #546C22×C73semidirect
1017. #546C22×C73semidirect
1018. #546C22×C73semidirect
1019. #546C22×C73semidirect
1020. #546C22×C73semidirect
1021. #546C22×C73semidirect
1022. #546C22×C73semidirect
1023. #546C22×C73semidirect
1024. D42C22×C73semidirect
1025. D42C22×C73semidirect
1026. D42C22×C73semidirect
1027. D42C22×C73semidirect
1028. D42C22×C73semidirect
1029. D42C22×C73semidirect
1030. D42C22×C73semidirect
1031. D42C22×C73semidirect
1032. D42C22×C73semidirect
1033. D42C22×C73semidirect
1034. D42C22×C73semidirect
1035. D42C22×C73semidirect
1036. D42C22×C73semidirect
1037. D42C22×C73semidirect
1038. D42C22×C73semidirect
1039. D42C22×C73semidirect
1040. D42C22×C73semidirect
1041. D42C22×C73semidirect
1042. D42C22×C73semidirect
1043. D42C22×C73semidirect
1044. D42C22×C73semidirect
1045. D42C22×C73semidirect
1046. #544C22×C73semidirect
1047. #542C22×C73semidirect
1048. #542C22×C73semidirect
1049. #542C22×C73semidirect
1050. #542C22×C73semidirect
1051. #540C22×C73semidirect
1052. #540C22×C73semidirect
1053. #540C22×C73semidirect
1054. #540C22×C73semidirect
1055. #540C22×C73semidirect
1056. #540C22×C73semidirect
1057. #538C22×C73semidirect
1058. #538C22×C73semidirect
1059. #538C22×C73semidirect
1060. #538C22×C73semidirect
1061. #538C22×C73semidirect
1062. #538C22×C73semidirect
1063. #538C22×C73semidirect
1064. #537C22×C73semidirect
1065. #537C22×C73semidirect
1066. #537C22×C73semidirect
1067. #535C22×C73semidirect
1068. #535C22×C73semidirect
1069. #535C22×C73semidirect
1070. #535C22×C73semidirect
1071. #535C22×C73semidirect
1072. #535C22×C73semidirect
1073. #535C22×C73semidirect
1074. #535C22×C73semidirect
1075. #535C22×C73semidirect
1076. #535C22×C73semidirect
1077. #535C22×C73semidirect
1078. #535C22×C73semidirect
1079. #535C22×C73semidirect
1080. #535C22×C73semidirect
1081. #535C22×C73semidirect
1082. #535C22×C73semidirect
1083. #535C22×C73semidirect
1084. #534C22×C73semidirect
1085. #534C22×C73semidirect
1086. #534C22×C73semidirect
1087. #534C22×C73semidirect
1088. #534C22×C73semidirect
1089. #533C22×C73semidirect
1090. #532C22×C73semidirect
1091. #532C22×C73semidirect
1092. #532C22×C73semidirect
1093. #532C22×C73semidirect
1094. #532C22×C73semidirect
1095. #532C22×C73semidirect
1096. #532C22×C73semidirect
1097. #532C22×C73semidirect
1098. C2×#127C22×C73semidirect
1099. C2×#127C22×C73semidirect
1100. C2×#127C22×C73semidirect
1101. #529C22×C73semidirect
1102. #529C22×C73semidirect
1103. #529C22×C73semidirect
1104. #529C22×C73semidirect
1105. #529C22×C73semidirect
1106. C2×#124C22×C73semidirect
1107. #525C22×C73semidirect
1108. #525C22×C73semidirect
1109. #525C22×C73semidirect
1110. #525C22×C73semidirect
1111. #525C22×C73semidirect
1112. #525C22×C73semidirect
1113. C2×#121C22×C73semidirect
1114. C2×#121C22×C73semidirect
1115. C2×#121C22×C73semidirect
1116. C2×#121C22×C73semidirect
1117. C2×#121C22×C73semidirect
1118. C2×#120C22×C73semidirect
1119. C2×#120C22×C73semidirect
1120. C2×#120C22×C73semidirect
1121. #520C22×C73semidirect
1122. #518C22×C73semidirect
1123. #518C22×C73semidirect
1124. C4×#41C22×C73semidirect
1125. C4×#41C22×C73semidirect
1126. C4×#41C22×C73semidirect
1127. C2×C4×D4C22×C73semidirect
1128. C2×C4×D4C22×C73semidirect
1129. C2×C4×D4C22×C73semidirect
1130. C2×#117C22×C73semidirect
1140. C2×#41C23×C73semidirect
1141. C2×#41C23×C73semidirect
1142. C2×#41C23×C73semidirect
1143. C2×#41C23×C73semidirect
1144. C2×#41C23×C73semidirect
1145. C2×#41C23×C73semidirect
1146. C2×#41C23×C73semidirect
1147. C2×#41C23×C73semidirect
1148. C2×#41C23×C73semidirect
1149. C2×#41C23×C73semidirect
1150. C22×Q8C23×C73semidirect
1170. C22×D4C23×C73semidirect
1171. C22×D4C23×C73semidirect
1172. C22×D4C23×C73semidirect
1173. C22×D4C23×C73semidirect
1174. C22×D4C23×C73semidirect
1175. C22×D4C23×C73semidirect
1176. C22×D4C23×C73semidirect
1177. C22×D4C23×C73semidirect
1178. C22×D4C23×C73semidirect
1179. C22×D4C23×C73semidirect
1182. C23×C4C23×C73semidirect
1183. C4⋊Q8C23×C73semidirect
1184. C4⋊Q8C23×C73semidirect
1185. C4⋊Q8C23×C73semidirect
1186. C4⋊Q8C23×C73semidirect
1187. C4⋊Q8C23×C73semidirect
1188. C4⋊Q8C23×C73semidirect
1197. #127C23×C73semidirect
1198. #127C23×C73semidirect
1199. #127C23×C73semidirect
1200. #127C23×C73semidirect
1201. #127C23×C73semidirect
1202. #127C23×C73semidirect
1203. #127C23×C73semidirect
1204. #127C23×C73semidirect
1205. #126C23×C73semidirect
1206. #126C23×C73semidirect
1207. #126C23×C73semidirect
1208. #126C23×C73semidirect
1209. #126C23×C73semidirect
1210. #126C23×C73semidirect
1211. #126C23×C73semidirect
1212. #126C23×C73semidirect
1213. #125C23×C73semidirect
1214. #125C23×C73semidirect
1215. #125C23×C73semidirect
1216. #125C23×C73semidirect
1217. #125C23×C73semidirect
1222. #124C23×C73semidirect
1223. #124C23×C73semidirect
1224. #124C23×C73semidirect
1225. #124C23×C73semidirect
1226. #124C23×C73semidirect
1227. #124C23×C73semidirect
1228. #124C23×C73semidirect
1229. #124C23×C73semidirect
1230. #124C23×C73semidirect
1231. #124C23×C73semidirect
1232. #124C23×C73semidirect
1233. #124C23×C73semidirect
1234. #124C23×C73semidirect
1235. #124C23×C73semidirect
1236. #124C23×C73semidirect
1240. #123C23×C73semidirect
1241. #123C23×C73semidirect
1242. #123C23×C73semidirect
1243. #123C23×C73semidirect
1244. #123C23×C73semidirect
1245. #123C23×C73semidirect
1246. #123C23×C73semidirect
1247. #123C23×C73semidirect
1248. #123C23×C73semidirect
1249. #123C23×C73semidirect
1250. #123C23×C73semidirect
1251. #123C23×C73semidirect
1252. #123C23×C73semidirect
1253. #123C23×C73semidirect
1254. #123C23×C73semidirect
1255. #123C23×C73semidirect
1256. #123C23×C73semidirect
1257. #123C23×C73semidirect
1258. #123C23×C73semidirect
1262. C22⋊Q8C23×C73semidirect
1263. C22⋊Q8C23×C73semidirect
1264. C22⋊Q8C23×C73semidirect
1265. C22⋊Q8C23×C73semidirect
1266. C22⋊Q8C23×C73semidirect
1267. C22⋊Q8C23×C73semidirect
1268. C22⋊Q8C23×C73semidirect
1269. C22⋊Q8C23×C73semidirect
1270. C22⋊Q8C23×C73semidirect
1271. C22⋊Q8C23×C73semidirect
1272. C22⋊Q8C23×C73semidirect
1273. C22⋊Q8C23×C73semidirect
1274. C22⋊Q8C23×C73semidirect
1275. C22⋊Q8C23×C73semidirect
1296. #121C23×C73semidirect
1297. #121C23×C73semidirect
1298. #121C23×C73semidirect
1299. #121C23×C73semidirect
1300. #121C23×C73semidirect
1301. #121C23×C73semidirect
1302. #121C23×C73semidirect
1303. #121C23×C73semidirect
1304. #121C23×C73semidirect
1305. #121C23×C73semidirect
1306. #121C23×C73semidirect
1307. #121C23×C73semidirect
1308. #121C23×C73semidirect
1309. #121C23×C73semidirect
1310. #121C23×C73semidirect
1311. #121C23×C73semidirect
1312. #121C23×C73semidirect
1313. #121C23×C73semidirect
1314. #121C23×C73semidirect
1315. #121C23×C73semidirect
1316. #121C23×C73semidirect
1317. #121C23×C73semidirect
1318. #121C23×C73semidirect
1319. #121C23×C73semidirect
1320. #121C23×C73semidirect
1321. #121C23×C73semidirect
1322. #121C23×C73semidirect
1323. #121C23×C73semidirect
1324. #121C23×C73semidirect
1325. #121C23×C73semidirect
1326. #121C23×C73semidirect
1327. #121C23×C73semidirect
1328. #121C23×C73semidirect
1329. #121C23×C73semidirect
1330. #121C23×C73semidirect
1331. #121C23×C73semidirect
1332. #121C23×C73semidirect
1333. #121C23×C73semidirect
1334. #121C23×C73semidirect
1335. #121C23×C73semidirect
1336. #121C23×C73semidirect
1337. #121C23×C73semidirect
1350. #120C23×C73semidirect
1351. #120C23×C73semidirect
1352. #120C23×C73semidirect
1353. #120C23×C73semidirect
1354. #120C23×C73semidirect
1355. #120C23×C73semidirect
1356. #120C23×C73semidirect
1357. #120C23×C73semidirect
1358. #120C23×C73semidirect
1359. #120C23×C73semidirect
1360. #120C23×C73semidirect
1361. #120C23×C73semidirect
1362. #120C23×C73semidirect
1363. #120C23×C73semidirect
1364. #120C23×C73semidirect
1365. #120C23×C73semidirect
1366. C4×Q8C23×C73semidirect
1367. C4×Q8C23×C73semidirect
1368. C4×Q8C23×C73semidirect
1369. C4×Q8C23×C73semidirect
1370. C4×Q8C23×C73semidirect
1371. C4×Q8C23×C73semidirect
1372. C4×Q8C23×C73semidirect
1373. C4×Q8C23×C73semidirect
1391. C4×D4C23×C73semidirect
1392. C4×D4C23×C73semidirect
1393. C4×D4C23×C73semidirect
1394. C4×D4C23×C73semidirect
1395. C4×D4C23×C73semidirect
1396. C4×D4C23×C73semidirect
1397. C4×D4C23×C73semidirect
1398. C4×D4C23×C73semidirect
1399. C4×D4C23×C73semidirect
1400. C4×D4C23×C73semidirect
1401. C4×D4C23×C73semidirect
1402. C4×D4C23×C73semidirect
1403. C4×D4C23×C73semidirect
1404. C4×D4C23×C73semidirect
1405. C4×D4C23×C73semidirect
1406. C4×D4C23×C73semidirect
1407. C4×D4C23×C73semidirect
1408. C4×D4C23×C73semidirect
1409. C4×D4C23×C73semidirect
1410. C4×D4C23×C73semidirect
1411. C4×D4C23×C73semidirect
1412. C4×D4C23×C73semidirect
1413. C4×D4C23×C73semidirect
1414. C4×D4C23×C73semidirect
1415. C4×D4C23×C73semidirect
1416. C4×D4C23×C73semidirect
1417. C4×D4C23×C73semidirect
1418. C4×D4C23×C73semidirect
1419. C4×D4C23×C73semidirect
1424. #117C23×C73semidirect
1425. #117C23×C73semidirect
1426. #117C23×C73semidirect
1427. #117C23×C73semidirect
1428. #117C23×C73semidirect
1429. #117C23×C73semidirect
1430. #117C23×C73semidirect
1431. #117C23×C73semidirect
1432. #117C23×C73semidirect
1433. #117C23×C73semidirect
1434. #117C23×C73semidirect
1437. C2×C4⋊C4C23×C73semidirect
1438. C2×C4⋊C4C23×C73semidirect
1439. C2×C4⋊C4C23×C73semidirect
1440. C2×C4⋊C4C23×C73semidirect
1446. C2×C22⋊C4C23×C73semidirect
1447. C2×C22⋊C4C23×C73semidirect
1448. C2×C22⋊C4C23×C73semidirect
1449. C2×C22⋊C4C23×C73semidirect
1450. C2×C22⋊C4C23×C73semidirect
1451. C2×C22⋊C4C23×C73semidirect
1453. C2×C42C23×C73semidirect
1454. C2×C42C23×C73semidirect
1455. C2×C42C23×C73semidirect
1756. D4H(5,𝔽2)×C73semidirect
1783. C2×C4H(5,𝔽2)×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#35582
C73×#35492
C73×#35462
C73×#35432
C73×#35422
C73×#35372
C73×#35322
C73×#35192
C73×#35142
C73×#35082
C73×#35062
C73×#34982
C73×#34962
C73×#34942
C73×#34882
C73×#34842
C73×#34752
D4×#41×C732
C2×D42×C732
C73×#34602
C2×#535×C732
#6291273