Finite Group Databasebeta

← C59×#62912 #28475021

Subgroups — C59×#62912 #28475021

Order 15104.

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
1C59×#3558C214yesmaximal, complemented
2C59×#3549C212yesmaximal, complemented
3C59×#3546C212yesmaximal, complemented
4C59×#3546C212yesmaximal, complemented
5C59×#3543C214yesmaximal, complemented
6C59×#3543C212yesmaximal, complemented
7C59×#3542C214yesmaximal, complemented
8C59×#3542C214yesmaximal, complemented
9C59×#3537C214yesmaximal, complemented
10C59×#3532C218yesmaximal, complemented
11C59×#3519C212yesmaximal, complemented
12C59×#3514C212yesmaximal, complemented
13C59×#3508C211yesmaximal, characteristic, complemented
14C59×#3506C211yesmaximal, characteristic, complemented
15C59×#3498C211yesmaximal, characteristic, complemented
16C59×#3498C212yesmaximal, complemented
17C59×#3496C212yesmaximal, complemented
18C59×#3494C212yesmaximal, complemented
19C59×#3488C212yesmaximal, complemented
20C59×#3484C212yesmaximal, complemented
21C59×#3484C214yesmaximal, complemented
22C59×#3475C211yesmaximal, characteristic, complemented
23D4×#41×C59C211yesmaximal, characteristic, complemented
24C2×D42×C59C211yesmaximal, characteristic, complemented
25C59×#3460C211yesmaximal, characteristic, complemented
26C2×C59×#535C212yesmaximal, complemented
27C2×H(5,𝔽2)×C59C2212yescomplemented
28C2×H(5,𝔽2)×C59C2214yescomplemented
29C22×#41×C59C2212yescomplemented
30C23×D4×C59C2212yescomplemented
31C23×D4×C59C2212yescomplemented
32C59×#562C2218yescomplemented
33C59×H(3,𝔽4)C2218yescomplemented
34C59×#560C2218yescomplemented
35C59×#560C2218yescomplemented
36C59×#560C2218yescomplemented
37C59×#560C2218yescomplemented
38C59×#559C2214yescomplemented
39C59×#559C2212yescomplemented
40C59×#559C2212yescomplemented
41C59×#556C2212yescomplemented
42C59×#556C2211yescharacteristic, complemented
43C59×#555C2212yescomplemented
44C59×#555C2211yescharacteristic, complemented
45C59×#555C2214yescomplemented
46C59×#555C2214yescomplemented
47C59×#554C2211yescharacteristic, complemented
48C59×#553C2214yescomplemented
49C59×#553C2212yescomplemented
50C59×#553C2214yescomplemented
51C59×#553C2214yescomplemented
52C59×#553C2214yescomplemented
53C59×#552C2212yescomplemented
54C59×#552C2212yescomplemented
55C59×#551C2214yescomplemented
56C59×#551C2218yescomplemented
57C59×#551C2218yescomplemented
58C59×#550C2212yescomplemented
59C59×#550C2211yescharacteristic, complemented
60C59×#550C2214yescomplemented
61C59×#550C2214yescomplemented
62C59×#550C2212yescomplemented
63C59×#550C2212yescomplemented
64C59×#550C2212yescomplemented
65C59×#550C2212yescomplemented
66D4×Q8×C59C2211yescharacteristic, complemented
67C59×#548C2212yescomplemented
68C59×#548C2214yescomplemented
69C59×#547C2212yescomplemented
70C59×#547C2212yescomplemented
71C59×#547C2211yescharacteristic, complemented
72C59×#547C2211yescharacteristic, complemented
73C59×#547C2214yescomplemented
74C59×#546C2212yescomplemented
75C59×#546C2214yescomplemented
76C59×#546C2214yescomplemented
77C59×#546C2218yescomplemented
78C59×#546C2214yescomplemented
79C59×#546C2218yescomplemented
80C59×#546C2212yescomplemented
81C59×#546C2214yescomplemented
82C59×#546C2218yescomplemented
83C59×#546C2218yescomplemented
84C59×#546C2218yescomplemented
85C59×#546C2214yescomplemented
86C59×#546C2214yescomplemented
87C59×#546C2214yescomplemented
88C59×#546C2214yescomplemented
89C59×#546C2214yescomplemented
90C59×#546C2214yescomplemented
91C59×#546C2214yescomplemented
92D42×C59C2212yescomplemented
93D42×C59C2212yescomplemented
94D42×C59C2214yescomplemented
95D42×C59C2212yescomplemented
96D42×C59C2214yescomplemented
97D42×C59C2212yescomplemented
98D42×C59C2212yescomplemented
99D42×C59C2214yescomplemented
100D42×C59C2218yescomplemented
101D42×C59C2214yescomplemented
102D42×C59C2214yescomplemented
103D42×C59C2211yescharacteristic, complemented
104D42×C59C2218yescomplemented
105D42×C59C2218yescomplemented
106D42×C59C2214yescomplemented
107D42×C59C2214yescomplemented
108D42×C59C2214yescomplemented
109D42×C59C2214yescomplemented
110D42×C59C2214yescomplemented
111D42×C59C2214yescomplemented
112D42×C59C2212yescomplemented
113D42×C59C2212yescomplemented
114C59×#544C2211yescharacteristic, complemented
115C59×#542C2212yescomplemented
116C59×#542C2212yescomplemented
117C59×#542C2214yescomplemented
118C59×#542C2214yescomplemented
119C59×#540C2212yescomplemented
120C59×#540C2212yescomplemented
121C59×#540C2214yescomplemented
122C59×#540C2218yescomplemented
123C59×#540C2214yescomplemented
124C59×#540C2214yescomplemented
125C59×#538C2214yescomplemented
126C59×#538C2214yescomplemented
127C59×#538C2218yescomplemented
128C59×#538C2218yescomplemented
129C59×#538C2218yescomplemented
130C59×#538C2218yescomplemented
131C59×#538C2218yescomplemented
132C59×#537C2211yescharacteristic, complemented
133C59×#537C2214yescomplemented
134C59×#537C2214yescomplemented
135C59×#535C2212yescomplemented
136C59×#535C2211yescharacteristic, complemented
137C59×#535C2211yescharacteristic, complemented
138C59×#535C2212yescomplemented
139C59×#535C2218yescomplemented
140C59×#535C2212yescomplemented
141C59×#535C2218yescomplemented
142C59×#535C2218yescomplemented
143C59×#535C2214yescomplemented
144C59×#535C2214yescomplemented
145C59×#535C2214yescomplemented
146C59×#535C2214yescomplemented
147C59×#535C2214yescomplemented
148C59×#535C2214yescomplemented
149C59×#535C2214yescomplemented
150C59×#535C2214yescomplemented
151C59×#535C2214yescomplemented
152C59×#534C2218yescomplemented
153C59×#534C2218yescomplemented
154C59×#534C2218yescomplemented
155C59×#534C2218yescomplemented
156C59×#534C2218yescomplemented
157C59×#533C2211yescharacteristic, complemented
158C59×#532C2211yescharacteristic, complemented
159C59×#532C2212yescomplemented
160C59×#532C2212yescomplemented
161C59×#532C2212yescomplemented
162C59×#532C2214yescomplemented
163C59×#532C2212yescomplemented
164C59×#532C2212yescomplemented
165C59×#532C2212yescomplemented
166C2×#127×C59C2211yescharacteristic, complemented
167C2×#127×C59C2214yescomplemented
168C2×#127×C59C2212yescomplemented
169C59×#529C2214yescomplemented
170C59×#529C2212yescomplemented
171C59×#529C2212yescomplemented
172C59×#529C2212yescomplemented
173C59×#529C2214yescomplemented
174C2×#124×C59C2214yescomplemented
175C59×#525C2212yescomplemented
176C59×#525C2212yescomplemented
177C59×#525C2214yescomplemented
178C59×#525C2214yescomplemented
179C59×#525C2214yescomplemented
180C59×#525C2214yescomplemented
181C2×#121×C59C2212yescomplemented
182C2×#121×C59C2212yescomplemented
183C2×#121×C59C2214yescomplemented
184C2×#121×C59C2214yescomplemented
185C2×#121×C59C2214yescomplemented
186C2×#120×C59C2214yescomplemented
187C2×#120×C59C2218yescomplemented
188C2×#120×C59C2218yescomplemented
189C59×#520C2212yescomplemented
190C59×#518C2212yescomplemented
191C59×#518C2214yescomplemented
192C4×#41×C59C2211yescharacteristic, complemented
193C4×#41×C59C2211yescharacteristic, complemented
194C4×#41×C59C2212yescomplemented
195C2×C4×D4×C59C2211yescharacteristic, complemented
196C2×C4×D4×C59C2211yescharacteristic, complemented
197C2×C4×D4×C59C2212yescomplemented
198C2×#117×C59C2212yescomplemented
199C25×C59C2314yes—
200H(5,𝔽2)×C59—416no—
201H(5,𝔽2)×C59—48no—
202C2×#41×C59—48no—
203C2×#41×C59C2311yescharacteristic
204C2×#41×C59C2311yescharacteristic
205C2×#41×C59C2312yes—
206C2×#41×C59C2312yes—
207C2×#41×C59C2314yes—
208C2×#41×C59C2314yescomplemented
209C2×#41×C59C2314yescomplemented
210C2×#41×C59C2314yescomplemented
211C2×#41×C59C2314yescomplemented
212C2×#41×C59C2318yescomplemented
213C2×#41×C59C2314yescomplemented
214C2×#41×C59C2314yescomplemented
215C2×#41×C59C2312yescomplemented
216C2×#41×C59C2312yescomplemented
217C2×#41×C59C2314yescomplemented
218C22×Q8×C59C2312yescomplemented
219C22×D4×C59—48no—
220C22×D4×C59—48no—
221C22×D4×C59C2311yescharacteristic
222C22×D4×C59C2312yes—
223C22×D4×C59C2311yescharacteristic
224C22×D4×C59C2312yes—
225C22×D4×C59C2314yes—
226C22×D4×C59C2314yes—
227C22×D4×C59C2314yes—
228C22×D4×C59C2314yes—
229C22×D4×C59C2318yes—
230C22×D4×C59C2314yes—
231C22×D4×C59C2312yes—
232C22×D4×C59C2314yes—
233C22×D4×C59C2318yes—
234C22×D4×C59C2314yes—
235C22×D4×C59C2314yes—
236C22×D4×C59C2314yes—
237C22×D4×C59C2312yes—
238C22×D4×C59C2318yescomplemented
239C22×D4×C59C2318yescomplemented
240C22×D4×C59C2318yescomplemented
241C22×D4×C59C2314yescomplemented
242C22×D4×C59C2312yescomplemented
243C22×D4×C59C2314yescomplemented
244C22×D4×C59C2314yescomplemented
245C22×D4×C59C2318yescomplemented
246C22×D4×C59C2318yescomplemented
247C22×D4×C59C2314yescomplemented
248C23×C4×C59C2312yes—
249C23×C4×C59C2312yes—
250C23×C4×C59C2314yescomplemented
251C4⋊Q8×C59C2312yescomplemented
252C4⋊Q8×C59C2311yescharacteristic, complemented
253C4⋊Q8×C59C2311yescharacteristic, complemented
254C4⋊Q8×C59C2311yescharacteristic, complemented
255C4⋊Q8×C59C2312yescomplemented
256C4⋊Q8×C59C2312yescomplemented
257#127×C59C2312yes—
258#127×C59C2312yes—
259#127×C59C2312yes—
260#127×C59C2312yes—
261#127×C59C2314yes—
262#127×C59C2312yes—
263#127×C59C2312yes—
264#127×C59C2312yes—
265#127×C59C2314yescomplemented
266#127×C59C2311yescharacteristic, complemented
267#127×C59C2318yescomplemented
268#127×C59C2314yescomplemented
269#127×C59C2318yescomplemented
270#127×C59C2314yescomplemented
271#127×C59C2314yescomplemented
272#127×C59C2318yescomplemented
273#126×C59C2314yescomplemented
274#126×C59C2314yescomplemented
275#126×C59C2314yescomplemented
276#126×C59C2314yescomplemented
277#126×C59C2314yescomplemented
278#126×C59C2318yescomplemented
279#126×C59C2318yescomplemented
280#126×C59C2318yescomplemented
281#125×C59C2312yescomplemented
282#125×C59C2314yescomplemented
283#125×C59C2312yescomplemented
284#125×C59C2312yescomplemented
285#125×C59C2312yescomplemented
286#124×C59C2312yes—
287#124×C59C2314yes—
288#124×C59C2312yes—
289#124×C59C2312yes—
290#124×C59C2314yescomplemented
291#124×C59C2318yescomplemented
292#124×C59C2314yescomplemented
293#124×C59C2318yescomplemented
294#124×C59C2314yescomplemented
295#124×C59C2314yescomplemented
296#124×C59C2312yescomplemented
297#124×C59C2318yescomplemented
298#124×C59C2314yescomplemented
299#124×C59C2314yescomplemented
300#124×C59C2314yescomplemented
301#124×C59C2314yescomplemented
302#124×C59C2318yescomplemented
303#124×C59C2318yescomplemented
304#124×C59C2318yescomplemented
305#123×C59C2314yes—
306#123×C59C2314yes—
307#123×C59C2314yes—
308#123×C59C2314yescomplemented
309#123×C59C2314yescomplemented
310#123×C59C2318yescomplemented
311#123×C59C2314yescomplemented
312#123×C59C2318yescomplemented
313#123×C59C2314yescomplemented
314#123×C59C2314yescomplemented
315#123×C59C2314yescomplemented
316#123×C59C2318yescomplemented
317#123×C59C2314yescomplemented
318#123×C59C2314yescomplemented
319#123×C59C2318yescomplemented
320#123×C59C2318yescomplemented
321#123×C59C2318yescomplemented
322#123×C59C2318yescomplemented
323#123×C59C2318yescomplemented
324#123×C59C2318yescomplemented
325#123×C59C2318yescomplemented
326#123×C59C2318yescomplemented
327C22⋊Q8×C59C2312yes—
328C22⋊Q8×C59C2314yes—
329C22⋊Q8×C59C2312yes—
330C22⋊Q8×C59C2312yescomplemented
331C22⋊Q8×C59C2312yescomplemented
332C22⋊Q8×C59C2312yescomplemented
333C22⋊Q8×C59C2312yescomplemented
334C22⋊Q8×C59C2314yescomplemented
335C22⋊Q8×C59C2314yescomplemented
336C22⋊Q8×C59C2314yescomplemented
337C22⋊Q8×C59C2312yescomplemented
338C22⋊Q8×C59C2314yescomplemented
339C22⋊Q8×C59C2312yescomplemented
340C22⋊Q8×C59C2312yescomplemented
341C22⋊Q8×C59C2314yescomplemented
342C22⋊Q8×C59C2318yescomplemented
343C22⋊Q8×C59C2318yescomplemented
344#121×C59C2314yes—
345#121×C59C2312yes—
346#121×C59C2312yes—
347#121×C59C2314yes—
348#121×C59C2314yes—
349#121×C59C2314yes—
350#121×C59C2314yes—
351#121×C59C2314yes—
352#121×C59C2314yes—
353#121×C59C2318yes—
354#121×C59C2314yes—
355#121×C59C2312yes—
356#121×C59C2314yes—
357#121×C59C2314yes—
358#121×C59C2314yes—
359#121×C59C2312yes—
360#121×C59C2312yes—
361#121×C59C2312yes—
362#121×C59C2312yes—
363#121×C59C2312yes—
364#121×C59C2312yescomplemented
365#121×C59C2314yescomplemented
366#121×C59C2312yescomplemented
367#121×C59C2314yescomplemented
368#121×C59C2318yescomplemented
369#121×C59C2318yescomplemented
370#121×C59C2318yescomplemented
371#121×C59C2318yescomplemented
372#121×C59C2314yescomplemented
373#121×C59C2314yescomplemented
374#121×C59C2318yescomplemented
375#121×C59C2318yescomplemented
376#121×C59C2312yescomplemented
377#121×C59C2314yescomplemented
378#121×C59C2312yescomplemented
379#121×C59C2314yescomplemented
380#121×C59C2312yescomplemented
381#121×C59C2314yescomplemented
382#121×C59C2314yescomplemented
383#121×C59C2314yescomplemented
384#121×C59C2318yescomplemented
385#121×C59C2314yescomplemented
386#121×C59C2312yescomplemented
387#121×C59C2314yescomplemented
388#121×C59C2314yescomplemented
389#121×C59C2312yescomplemented
390#121×C59C2314yescomplemented
391#121×C59C2314yescomplemented
392#121×C59C2318yescomplemented
393#121×C59C2318yescomplemented
394#121×C59C2318yescomplemented
395#121×C59C2318yescomplemented
396#121×C59C2318yescomplemented
397#121×C59C2318yescomplemented
398#121×C59C2318yescomplemented
399#121×C59C2318yescomplemented
400#121×C59C2318yescomplemented
401#121×C59C2318yescomplemented
402#121×C59C2318yescomplemented
403#121×C59C2318yescomplemented
404#121×C59C2318yescomplemented
405#121×C59C2318yescomplemented
406#120×C59C2314yes—
407#120×C59C2318yes—
408#120×C59C2314yes—
409#120×C59C2314yes—
410#120×C59C2314yes—
411#120×C59C2318yes—
412#120×C59C2318yes—
413#120×C59C2318yes—
414#120×C59C2318yes—
415#120×C59C2318yes—
416#120×C59C2318yes—
417#120×C59C2314yes—
418#120×C59C2318yescomplemented
419#120×C59C2318yescomplemented
420#120×C59C2318yescomplemented
421#120×C59C2318yescomplemented
422#120×C59C2318yescomplemented
423#120×C59C2318yescomplemented
424#120×C59C2318yescomplemented
425#120×C59C2318yescomplemented
426#120×C59C2318yescomplemented
427#120×C59C2314yescomplemented
428#120×C59C2318yescomplemented
429#120×C59C2318yescomplemented
430#120×C59C2318yescomplemented
431#120×C59C2318yescomplemented
432#120×C59C2318yescomplemented
433#120×C59C2318yescomplemented
434C4×Q8×C59C2311yescharacteristic, complemented
435C4×Q8×C59C2311yescharacteristic, complemented
436C4×Q8×C59C2312yescomplemented
437C4×Q8×C59C2311yescharacteristic, complemented
438C4×Q8×C59C2311yescharacteristic, complemented
439C4×Q8×C59C2312yescomplemented
440C4×Q8×C59C2314yescomplemented
441C4×Q8×C59C2312yescomplemented
442C4×D4×C59C2311yescharacteristic
443C4×D4×C59C2311yescharacteristic
444C4×D4×C59C2312yes—
445C4×D4×C59C2312yes—
446C4×D4×C59C2312yes—
447C4×D4×C59C2311yescharacteristic
448C4×D4×C59C2312yes—
449C4×D4×C59C2312yes—
450C4×D4×C59C2311yescharacteristic
451C4×D4×C59C2312yes—
452C4×D4×C59C2312yes—
453C4×D4×C59C2312yes—
454C4×D4×C59C2312yes—
455C4×D4×C59C2312yes—
456C4×D4×C59C2312yes—
457C4×D4×C59C2312yes—
458C4×D4×C59C2318yes—
459C4×D4×C59C2314yescomplemented
460C4×D4×C59C2312yescomplemented
461C4×D4×C59C2314yescomplemented
462C4×D4×C59C2312yescomplemented
463C4×D4×C59C2314yescomplemented
464C4×D4×C59C2311yescharacteristic, complemented
465C4×D4×C59C2311yescharacteristic, complemented
466C4×D4×C59C2314yescomplemented
467C4×D4×C59C2311yescharacteristic, complemented
468C4×D4×C59C2311yescharacteristic, complemented
469C4×D4×C59C2318yescomplemented
470C4×D4×C59C2318yescomplemented
471C4×D4×C59C2314yescomplemented
472C4×D4×C59C2314yescomplemented
473C4×D4×C59C2314yescomplemented
474C4×D4×C59C2314yescomplemented
475C4×D4×C59C2314yescomplemented
476C4×D4×C59C2314yescomplemented
477C4×D4×C59C2314yescomplemented
478C4×D4×C59C2314yescomplemented
479C4×D4×C59C2312yescomplemented
480C4×D4×C59C2314yescomplemented
481C4×D4×C59C2314yescomplemented
482C4×D4×C59C2314yescomplemented
483C4×D4×C59C2318yescomplemented
484C4×D4×C59C2318yescomplemented
485C4×D4×C59C2314yescomplemented
486C4×D4×C59C2318yescomplemented
487C4×D4×C59C2314yescomplemented
488#117×C59C2311yescharacteristic
489#117×C59C2312yes—
490#117×C59C2314yes—
491#117×C59C2311yescharacteristic
492#117×C59C2314yescomplemented
493#117×C59C2312yescomplemented
494#117×C59C2312yescomplemented
495#117×C59C2312yescomplemented
496#117×C59C2312yescomplemented
497#117×C59C2314yescomplemented
498#117×C59C2312yescomplemented
499#117×C59C2314yescomplemented
500#117×C59C2314yescomplemented
501#117×C59C2314yescomplemented
502#117×C59C2318yescomplemented
503C2×C4⋊C4×C59C2311yescharacteristic
504C2×C4⋊C4×C59C2311yescharacteristic
505C2×C4⋊C4×C59C2312yescomplemented
506C2×C4⋊C4×C59C2312yescomplemented
507C2×C4⋊C4×C59C2312yescomplemented
508C2×C4⋊C4×C59C2314yescomplemented
509C2×C22⋊C4×C59C2314yes—
510C2×C22⋊C4×C59C2312yes—
511C2×C22⋊C4×C59C2312yes—
512C2×C22⋊C4×C59C2318yes—
513C2×C22⋊C4×C59C2314yes—
514C2×C22⋊C4×C59C2314yescomplemented
515C2×C22⋊C4×C59C2318yescomplemented
516C2×C22⋊C4×C59C2318yescomplemented
517C2×C22⋊C4×C59C2318yescomplemented
518C2×C22⋊C4×C59C2318yescomplemented
519C2×C22⋊C4×C59C2318yescomplemented
520C2×C42×C59C2311yescharacteristic
521C2×C42×C59C2314yescomplemented
522C2×C42×C59C2312yescomplemented
523C2×C42×C59C2312yescomplemented
524C24×C59—48no—
525C24×C59—48no—
526C24×C59—84no—
527C24×C59C2412yes—
528C24×C59C2414yes—
529C24×C59C2412yes—
530C24×C59C2418yes—
531C24×C59C2414yes—
532C24×C59C2418yes—
533C24×C59C2418yes—
534#41×C59—28no—
535#41×C59—24no—
536#41×C59—28no—
537#41×C59—24no—
538#41×C59—48no—
539#41×C59—48no—
540#41×C59—48no—
541#41×C59—416no—
542#41×C59—44no—
543#41×C59—44no—
544#41×C59—48no—
545#41×C59—48no—
546#41×C59—48no—
547#41×C59—48no—
548#41×C59—84no—
549C2×Q8×C59—44no—
550C2×Q8×C59C2412yes—
551C2×Q8×C59C2411yescharacteristic
552C2×Q8×C59C2411yescharacteristic
553C2×Q8×C59C2412yes—
554C2×Q8×C59C2412yes—
555C2×Q8×C59C2414yes—
556C2×Q8×C59C2414yes—
557C2×D4×C59—24no—
558C2×D4×C59—216no—
559C2×D4×C59—28no—
560C2×D4×C59—24no—
561C2×D4×C59—28no—
562C2×D4×C59—48no—
563C2×D4×C59—48no—
564C2×D4×C59—48no—
565C2×D4×C59—48no—
566C2×D4×C59—44no—
567C2×D4×C59—48no—
568C2×D4×C59—44no—
569C2×D4×C59—48no—
570C2×D4×C59—48no—
571C2×D4×C59—48no—
572C2×D4×C59—48no—
573C2×D4×C59—416no—
574C2×D4×C59—416no—
575C2×D4×C59—48no—
576C2×D4×C59—48no—
577C2×D4×C59—416no—
578C2×D4×C59—416no—
579C2×D4×C59—416no—
580C2×D4×C59—82no—
581C2×D4×C59—84no—
582C2×D4×C59—88no—
583C2×D4×C59—88no—
584C2×D4×C59C2412yes—
585C2×D4×C59C2414yes—
586C2×D4×C59C2412yes—
587C2×D4×C59C2412yes—
588C2×D4×C59C2412yes—
589C2×D4×C59C2411yescharacteristic
590C2×D4×C59C2412yes—
591C2×D4×C59C2418yes—
592C2×D4×C59C2414yes—
593C2×D4×C59C2414yes—
594C2×D4×C59C2414yes—
595C2×D4×C59C2414yes—
596C2×D4×C59C2414yes—
597C2×D4×C59C2412yes—
598C2×D4×C59C2411yescharacteristic
599C2×D4×C59C2412yes—
600C2×D4×C59C2411yescharacteristic
601C2×D4×C59C2414yes—
602C2×D4×C59C2414yes—
603C2×D4×C59C2414yes—
604C2×D4×C59C2414yes—
605C2×D4×C59C2414yes—
606C2×D4×C59C2418yes—
607C2×D4×C59C2418yes—
608C2×D4×C59C2414yes—
609C2×D4×C59C2418yes—
610C2×D4×C59C2412yes—
611C2×D4×C59C2418yes—
612C2×D4×C59C2418yes—
613C2×D4×C59C2418yes—
614C2×D4×C59C2414yes—
615C2×D4×C59C2414yes—
616C2×D4×C59C2418yes—
617C2×D4×C59C2414yes—
618C2×D4×C59C2418yes—
619C2×D4×C59C2418yes—
620C2×D4×C59C2414yes—
621C2×D4×C59C2418yes—
622C2×D4×C59C2418yes—
623C2×D4×C59C2414yes—
624C2×D4×C59C2414yes—
625C2×D4×C59C2414yes—
626C2×D4×C59C2411yescharacteristic
627C22×C4×C59—28no—
628C22×C4×C59—44no—
629C22×C4×C59—48no—
630C22×C4×C59C2411yescharacteristic
631C22×C4×C59C2412yes—
632C22×C4×C59C2414yes—
633C22×C4×C59C2412yes—
634C22×C4×C59C2412yes—
635C22×C4×C59C2412yes—
636C22×C4×C59C2412yes—
637C22×C4×C59C2412yes—
638C22×C4×C59C2412yes—
639C22×C4×C59C2414yes—
640C22×C4×C59C2412yes—
641C22×C4×C59C2412yes—
642C22×C4×C59C2414yes—
643C22×C4×C59C2411yescharacteristic
644C22×C4×C59C2414yes—
645C22×C4×C59C2412yes—
646C22×C4×C59C2412yes—
647C22×C4×C59C2412yes—
648C22×C4×C59C2418yes—
649C22×C4×C59C2418yes—
650C22×C4×C59C2414yes—
651C22×C4×C59C2418yes—
652C22×C4×C59C2414yes—
653C22×C4×C59C2418yes—
654C22×C4×C59C2414yes—
655C22×C4×C59C2414yes—
656C22×C4×C59C2411yescharacteristic
657C4⋊C4×C59C2412yes—
658C4⋊C4×C59C2411yescharacteristic
659C4⋊C4×C59C2411yescharacteristic
660C4⋊C4×C59C2412yes—
661C4⋊C4×C59C2412yes—
662C4⋊C4×C59C2412yes—
663C4⋊C4×C59C2411yescharacteristic
664C4⋊C4×C59C2411yescharacteristic
665C4⋊C4×C59C2412yes—
666C4⋊C4×C59C2414yes—
667C4⋊C4×C59C2414yes—
668C4⋊C4×C59C2412yes—
669C4⋊C4×C59C2418yes—
670C4⋊C4×C59C2414yes—
671C4⋊C4×C59C2411yescharacteristic
672C4⋊C4×C59C2411yescharacteristic
673C4⋊C4×C59C2412yes—
674C4⋊C4×C59C2414yes—
675C4⋊C4×C59C2414yes—
676C4⋊C4×C59C2412yes—
677C4⋊C4×C59C2412yes—
678C4⋊C4×C59C2412yes—
679C4⋊C4×C59C2412yes—
680C4⋊C4×C59C2414yes—
681C4⋊C4×C59C2414yes—
682C4⋊C4×C59C2414yes—
683C4⋊C4×C59C2414yes—
684C4⋊C4×C59C2412yes—
685C4⋊C4×C59C2414yes—
686C4⋊C4×C59C2414yes—
687C4⋊C4×C59C2414yes—
688C4⋊C4×C59C2412yes—
689C22⋊C4×C59C2412yes—
690C22⋊C4×C59C2414yes—
691C22⋊C4×C59C2412yes—
692C22⋊C4×C59C2412yes—
693C22⋊C4×C59C2418yes—
694C22⋊C4×C59C2412yes—
695C22⋊C4×C59C2414yes—
696C22⋊C4×C59C2414yes—
697C22⋊C4×C59C2418yes—
698C22⋊C4×C59C2414yes—
699C22⋊C4×C59C2412yes—
700C22⋊C4×C59C2412yes—
701C22⋊C4×C59C2414yes—
702C22⋊C4×C59C2418yes—
703C22⋊C4×C59C2418yes—
704C22⋊C4×C59C2414yes—
705C22⋊C4×C59C2414yes—
706C22⋊C4×C59C2414yes—
707C22⋊C4×C59C2418yes—
708C22⋊C4×C59C2414yes—
709C22⋊C4×C59C2414yes—
710C22⋊C4×C59C2418yes—
711C22⋊C4×C59C2414yes—
712C22⋊C4×C59C2414yes—
713C22⋊C4×C59C2414yes—
714C22⋊C4×C59C2418yes—
715C22⋊C4×C59C2414yes—
716C22⋊C4×C59C2414yes—
717C22⋊C4×C59C2418yes—
718C22⋊C4×C59C2418yes—
719C22⋊C4×C59C2418yes—
720C22⋊C4×C59C2414yes—
721C22⋊C4×C59C2414yes—
722C22⋊C4×C59C2412yes—
723C22⋊C4×C59C2412yes—
724C22⋊C4×C59C2412yes—
725C22⋊C4×C59C2418yes—
726C22⋊C4×C59C2412yes—
727C22⋊C4×C59C2414yes—
728C22⋊C4×C59C2414yes—
729C22⋊C4×C59C2414yes—
730C22⋊C4×C59C2414yes—
731C42×C59C2411yescharacteristic
732C42×C59C2411yescharacteristic
733C42×C59C2411yescharacteristic
734C42×C59C2411yescharacteristic
735C42×C59C2412yes—
736C42×C59C2414yes—
737C42×C59C2412yes—
738C42×C59C2414yes—
739C42×C59C2414yes—
740C42×C59C2412yes—
741C42×C59C2412yes—
742C42×C59C2412yes—
743C42×C59C2412yes—
744C42×C59C2418yes—
745C23×C59—24no—
746C23×C59—24no—
747C23×C59—24no—
748C23×C59—28no—
749C23×C59—216no—
750C23×C59—28no—
751C23×C59—42no—
752C23×C59—42no—
753C23×C59—42no—
754C23×C59—44no—
755C23×C59—48no—
756C23×C59—44no—
757C23×C59—48no—
758C23×C59—48no—
759C23×C59—44no—
760C23×C59—48no—
761C23×C59—44no—
762C23×C59—48no—
763C23×C59—48no—
764C23×C59—48no—
765C23×C59—48no—
766C23×C59—832no—
767C23×C59C2512yes—
768C23×C59C2514yes—
769C23×C59C2512yes—
770C23×C59C2518yes—
771C23×C59C2514yes—
772C23×C59C2512yes—
773C23×C59C2511yescharacteristic
774C23×C59C2512yes—
775Q8×C59—22no—
776Q8×C59—24no—
777Q8×C59—22no—
778Q8×C59—24no—
779Q8×C59—44no—
780Q8×C59—44no—
781Q8×C59—42no—
782D4×C59—24no—
783D4×C59—216no—
784D4×C59—28no—
785D4×C59—24no—
786D4×C59—28no—
787D4×C59—28no—
788D4×C59—24no—
789D4×C59—24no—
790D4×C59—22no—
791D4×C59—24no—
792D4×C59—28no—
793D4×C59—28no—
794D4×C59—28no—
795D4×C59—24no—
796D4×C59—22no—
797D4×C59—24no—
798D4×C59—22no—
799D4×C59—48no—
800D4×C59—48no—
801D4×C59—44no—
802D4×C59—48no—
803D4×C59—44no—
804D4×C59—48no—
805D4×C59—44no—
806D4×C59—44no—
807D4×C59—48no—
808D4×C59—48no—
809D4×C59—48no—
810D4×C59—48no—
811D4×C59—44no—
812D4×C59—44no—
813D4×C59—44no—
814D4×C59—44no—
815D4×C59—44no—
816D4×C59—44no—
817D4×C59—44no—
818D4×C59—48no—
819D4×C59—42no—
820D4×C59—44no—
821D4×C59—48no—
822D4×C59—48no—
823D4×C59—44no—
824D4×C59H(5,𝔽2)14yescomplemented
825C2×C4×C59—24no—
826C2×C4×C59—28no—
827C2×C4×C59—24no—
828C2×C4×C59—24no—
829C2×C4×C59—24no—
830C2×C4×C59—24no—
831C2×C4×C59—22no—
832C2×C4×C59—24no—
833C2×C4×C59—28no—
834C2×C4×C59—28no—
835C2×C4×C59—24no—
836C2×C4×C59—24no—
837C2×C4×C59—24no—
838C2×C4×C59—44no—
839C2×C4×C59—42no—
840C2×C4×C59—44no—
841C2×C4×C59—44no—
842C2×C4×C59—44no—
843C2×C4×C59—48no—
844C2×C4×C59—48no—
845C2×C4×C59—48no—
846C2×C4×C59—42no—
847C2×C4×C59—44no—
848C2×C4×C59—41no—
849C2×C4×C59—48no—
850C2×C4×C59—42no—
851C2×C4×C59H(5,𝔽2)14yescomplemented
852C2×C4×C59C2511yescharacteristic
853C2×C4×C59C2514yes—
854C2×C4×C59C2511yescharacteristic
855C2×C4×C59C2512yes—
856C2×C4×C59C2512yes—
857C2×C4×C59C2512yes—
858C2×C4×C59C2512yes—
859C2×C4×C59C2512yes—
860C2×C4×C59C2512yes—
861C2×C4×C59C2514yes—
862C2×C4×C59C2514yes—
863C2×C4×C59C2514yes—
864C2×C4×C59C2512yes—
865C2×C4×C59C2511yescharacteristic
866C2×C4×C59C2512yes—
867C2×C4×C59C2511yescharacteristic
868C2×C4×C59C2511yescharacteristic
869C2×C4×C59C2511yescharacteristic
870#62912C5911yesmaximal, characteristic, direct product factor, Sylow
871C22×C59—22no—
872C22×C59—21no—
873C22×C59—22no—
874C22×C59—21no—
875C22×C59—22no—
876C22×C59—22no—
877C22×C59—24no—
878C22×C59—24no—
879C22×C59—22no—
880C22×C59—22no—
881C22×C59—22no—
882C22×C59—24no—
883C22×C59—28no—
884C22×C59—28no—
885C22×C59—22no—
886C22×C59—24no—
887C22×C59—22no—
888C22×C59—28no—
889C22×C59—22no—
890C22×C59—24no—
891C22×C59—22no—
892C22×C59—24no—
893C22×C59—48no—
894C22×C59—48no—
895C22×C59—88no—
896C22×C59—88no—
897C22×C59—816no—
898C22×C59—816no—
899C22×C59—168no—
900C22×C59C2×H(5,𝔽2)12yes—
901C22×C59C2×H(5,𝔽2)14yes—
902C22×C59C2611yescharacteristic
903C4×C59—22no—
904C4×C59—22no—
905C4×C59—22no—
906C4×C59—21no—
907C4×C59—24no—
908C4×C59—22no—
909C4×C59—24no—
910C4×C59—22no—
911C4×C59—24no—
912C4×C59—22no—
913C4×C59—22no—
914C4×C59—21no—
915C4×C59—22no—
916C4×C59—24no—
917C4×C59—21no—
918C4×C59C2×H(5,𝔽2)12yes—
919C4×C59C2×H(5,𝔽2)12yes—
920C4×C59C2×H(5,𝔽2)12yes—
921#3558C2×C5914yescomplemented
922#3549C2×C5912yescomplemented
923#3546C2×C5912yescomplemented
924#3546C2×C5912yescomplemented
925#3543C2×C5914yescomplemented
926#3543C2×C5912yescomplemented
927#3542C2×C5914yescomplemented
928#3542C2×C5914yescomplemented
929#3537C2×C5914yescomplemented
930#3532C2×C5918yescomplemented
931#3519C2×C5912yescomplemented
932#3514C2×C5912yescomplemented
933#3508C2×C5911yescharacteristic, complemented
934#3506C2×C5911yescharacteristic, complemented
935#3498C2×C5911yescharacteristic, complemented
936#3498C2×C5912yescomplemented
937#3496C2×C5912yescomplemented
938#3494C2×C5912yescomplemented
939#3488C2×C5912yescomplemented
940#3484C2×C5912yescomplemented
941#3484C2×C5914yescomplemented
942#3475C2×C5911yescharacteristic, complemented
943D4×#41C2×C5911yescharacteristic, complemented
944C2×D42C2×C5911yescharacteristic, complemented
945#3460C2×C5911yescharacteristic, complemented
946C2×#535C2×C5912yescomplemented
947C2×C59—22no—
948C2×C59—24no—
949C2×C59—42no—
950C2×C59—44no—
951C2×C59—42no—
952C2×C59—48no—
953C2×C59—44no—
954C2×C59—42no—
955C2×C59C22×H(5,𝔽2)11yescharacteristic
956C2×C59C22×H(5,𝔽2)11yescharacteristic
957C2×C59H(7,𝔽2)11yescharacteristic
958C2×H(5,𝔽2)C22×C5912yescomplemented
959C2×H(5,𝔽2)C22×C5914yescomplemented
960C22×#41C22×C5912yescomplemented
961C23×D4C22×C5912yescomplemented
962C23×D4C22×C5912yescomplemented
963#562C22×C5918yescomplemented
964H(3,𝔽4)C22×C5918yescomplemented
965#560C22×C5918yescomplemented
966#560C22×C5918yescomplemented
967#560C22×C5918yescomplemented
968#560C22×C5918yescomplemented
969#559C22×C5914yescomplemented
970#559C22×C5912yescomplemented
971#559C22×C5912yescomplemented
972#556C22×C5911yescharacteristic, complemented
973#556C22×C5912yescomplemented
974#555C22×C5911yescharacteristic, complemented
975#555C22×C5912yescomplemented
976#555C22×C5914yescomplemented
977#555C22×C5914yescomplemented
978#554C22×C5911yescharacteristic, complemented
979#553C22×C5912yescomplemented
980#553C22×C5914yescomplemented
981#553C22×C5914yescomplemented
982#553C22×C5914yescomplemented
983#553C22×C5914yescomplemented
984#552C22×C5912yescomplemented
985#552C22×C5912yescomplemented
986#551C22×C5914yescomplemented
987#551C22×C5918yescomplemented
988#551C22×C5918yescomplemented
989#550C22×C5911yescharacteristic, complemented
990#550C22×C5912yescomplemented
991#550C22×C5914yescomplemented
992#550C22×C5914yescomplemented
993#550C22×C5912yescomplemented
994#550C22×C5912yescomplemented
995#550C22×C5912yescomplemented
996#550C22×C5912yescomplemented
997D4×Q8C22×C5911yescharacteristic, complemented
998#548C22×C5912yescomplemented
999#548C22×C5914yescomplemented
1000#547C22×C5912yescomplemented
1001#547C22×C5911yescharacteristic, complemented
1002#547C22×C5912yescomplemented
1003#547C22×C5911yescharacteristic, complemented
1004#547C22×C5914yescomplemented
1005#546C22×C5912yescomplemented
1006#546C22×C5918yescomplemented
1007#546C22×C5914yescomplemented
1008#546C22×C5914yescomplemented
1009#546C22×C5914yescomplemented
1010#546C22×C5918yescomplemented
1011#546C22×C5912yescomplemented
1012#546C22×C5914yescomplemented
1013#546C22×C5918yescomplemented
1014#546C22×C5918yescomplemented
1015#546C22×C5918yescomplemented
1016#546C22×C5914yescomplemented
1017#546C22×C5914yescomplemented
1018#546C22×C5914yescomplemented
1019#546C22×C5914yescomplemented
1020#546C22×C5914yescomplemented
1021#546C22×C5914yescomplemented
1022#546C22×C5914yescomplemented
1023D42C22×C5912yescomplemented
1024D42C22×C5912yescomplemented
1025D42C22×C5914yescomplemented
1026D42C22×C5912yescomplemented
1027D42C22×C5914yescomplemented
1028D42C22×C5912yescomplemented
1029D42C22×C5912yescomplemented
1030D42C22×C5918yescomplemented
1031D42C22×C5914yescomplemented
1032D42C22×C5914yescomplemented
1033D42C22×C5911yescharacteristic, complemented
1034D42C22×C5914yescomplemented
1035D42C22×C5918yescomplemented
1036D42C22×C5918yescomplemented
1037D42C22×C5914yescomplemented
1038D42C22×C5914yescomplemented
1039D42C22×C5914yescomplemented
1040D42C22×C5914yescomplemented
1041D42C22×C5914yescomplemented
1042D42C22×C5914yescomplemented
1043D42C22×C5912yescomplemented
1044D42C22×C5912yescomplemented
1045#544C22×C5911yescharacteristic, complemented
1046#542C22×C5912yescomplemented
1047#542C22×C5912yescomplemented
1048#542C22×C5914yescomplemented
1049#542C22×C5914yescomplemented
1050#540C22×C5912yescomplemented
1051#540C22×C5912yescomplemented
1052#540C22×C5914yescomplemented
1053#540C22×C5914yescomplemented
1054#540C22×C5918yescomplemented
1055#540C22×C5914yescomplemented
1056#538C22×C5914yescomplemented
1057#538C22×C5914yescomplemented
1058#538C22×C5918yescomplemented
1059#538C22×C5918yescomplemented
1060#538C22×C5918yescomplemented
1061#538C22×C5918yescomplemented
1062#538C22×C5918yescomplemented
1063#537C22×C5911yescharacteristic, complemented
1064#537C22×C5914yescomplemented
1065#537C22×C5914yescomplemented
1066#535C22×C5911yescharacteristic, complemented
1067#535C22×C5912yescomplemented
1068#535C22×C5911yescharacteristic, complemented
1069#535C22×C5912yescomplemented
1070#535C22×C5912yescomplemented
1071#535C22×C5918yescomplemented
1072#535C22×C5918yescomplemented
1073#535C22×C5918yescomplemented
1074#535C22×C5914yescomplemented
1075#535C22×C5914yescomplemented
1076#535C22×C5914yescomplemented
1077#535C22×C5914yescomplemented
1078#535C22×C5914yescomplemented
1079#535C22×C5914yescomplemented
1080#535C22×C5914yescomplemented
1081#535C22×C5914yescomplemented
1082#535C22×C5914yescomplemented
1083#534C22×C5918yescomplemented
1084#534C22×C5918yescomplemented
1085#534C22×C5918yescomplemented
1086#534C22×C5918yescomplemented
1087#534C22×C5918yescomplemented
1088#533C22×C5911yescharacteristic, complemented
1089#532C22×C5911yescharacteristic, complemented
1090#532C22×C5912yescomplemented
1091#532C22×C5912yescomplemented
1092#532C22×C5912yescomplemented
1093#532C22×C5914yescomplemented
1094#532C22×C5912yescomplemented
1095#532C22×C5912yescomplemented
1096#532C22×C5912yescomplemented
1097C2×#127C22×C5911yescharacteristic, complemented
1098C2×#127C22×C5914yescomplemented
1099C2×#127C22×C5912yescomplemented
1100#529C22×C5914yescomplemented
1101#529C22×C5912yescomplemented
1102#529C22×C5912yescomplemented
1103#529C22×C5912yescomplemented
1104#529C22×C5914yescomplemented
1105C2×#124C22×C5914yescomplemented
1106#525C22×C5912yescomplemented
1107#525C22×C5912yescomplemented
1108#525C22×C5914yescomplemented
1109#525C22×C5914yescomplemented
1110#525C22×C5914yescomplemented
1111#525C22×C5914yescomplemented
1112C2×#121C22×C5912yescomplemented
1113C2×#121C22×C5912yescomplemented
1114C2×#121C22×C5914yescomplemented
1115C2×#121C22×C5914yescomplemented
1116C2×#121C22×C5914yescomplemented
1117C2×#120C22×C5914yescomplemented
1118C2×#120C22×C5918yescomplemented
1119C2×#120C22×C5918yescomplemented
1120#520C22×C5912yescomplemented
1121#518C22×C5912yescomplemented
1122#518C22×C5914yescomplemented
1123C4×#41C22×C5911yescharacteristic, complemented
1124C4×#41C22×C5911yescharacteristic, complemented
1125C4×#41C22×C5912yescomplemented
1126C2×C4×D4C22×C5911yescharacteristic, complemented
1127C2×C4×D4C22×C5911yescharacteristic, complemented
1128C2×C4×D4C22×C5912yescomplemented
1129C2×#117C22×C5912yescomplemented
1130C59#6291211yescharacteristic, direct product factor, Sylow
1131C25C23×C5914yes—
1132H(5,𝔽2)—416no—
1133H(5,𝔽2)—48no—
1134C2×#41—48no—
1135C2×#41C23×C5911yescharacteristic
1136C2×#41C23×C5911yescharacteristic
1137C2×#41C23×C5912yes—
1138C2×#41C23×C5912yes—
1139C2×#41C23×C5914yes—
1140C2×#41C23×C5914yescomplemented
1141C2×#41C23×C5914yescomplemented
1142C2×#41C23×C5914yescomplemented
1143C2×#41C23×C5914yescomplemented
1144C2×#41C23×C5918yescomplemented
1145C2×#41C23×C5914yescomplemented
1146C2×#41C23×C5914yescomplemented
1147C2×#41C23×C5912yescomplemented
1148C2×#41C23×C5912yescomplemented
1149C2×#41C23×C5914yescomplemented
1150C22×Q8C23×C5912yescomplemented
1151C22×D4—48no—
1152C22×D4—48no—
1153C22×D4C23×C5911yescharacteristic
1154C22×D4C23×C5912yes—
1155C22×D4C23×C5911yescharacteristic
1156C22×D4C23×C5912yes—
1157C22×D4C23×C5914yes—
1158C22×D4C23×C5914yes—
1159C22×D4C23×C5914yes—
1160C22×D4C23×C5914yes—
1161C22×D4C23×C5918yes—
1162C22×D4C23×C5914yes—
1163C22×D4C23×C5912yes—
1164C22×D4C23×C5914yes—
1165C22×D4C23×C5918yes—
1166C22×D4C23×C5914yes—
1167C22×D4C23×C5914yes—
1168C22×D4C23×C5914yes—
1169C22×D4C23×C5912yes—
1170C22×D4C23×C5918yescomplemented
1171C22×D4C23×C5918yescomplemented
1172C22×D4C23×C5918yescomplemented
1173C22×D4C23×C5914yescomplemented
1174C22×D4C23×C5912yescomplemented
1175C22×D4C23×C5914yescomplemented
1176C22×D4C23×C5914yescomplemented
1177C22×D4C23×C5918yescomplemented
1178C22×D4C23×C5918yescomplemented
1179C22×D4C23×C5914yescomplemented
1180C23×C4C23×C5912yes—
1181C23×C4C23×C5912yes—
1182C23×C4C23×C5914yescomplemented
1183C4⋊Q8C23×C5912yescomplemented
1184C4⋊Q8C23×C5911yescharacteristic, complemented
1185C4⋊Q8C23×C5911yescharacteristic, complemented
1186C4⋊Q8C23×C5911yescharacteristic, complemented
1187C4⋊Q8C23×C5912yescomplemented
1188C4⋊Q8C23×C5912yescomplemented
1189#127C23×C5912yes—
1190#127C23×C5912yes—
1191#127C23×C5912yes—
1192#127C23×C5912yes—
1193#127C23×C5914yes—
1194#127C23×C5912yes—
1195#127C23×C5912yes—
1196#127C23×C5912yes—
1197#127C23×C5914yescomplemented
1198#127C23×C5911yescharacteristic, complemented
1199#127C23×C5918yescomplemented
1200#127C23×C5914yescomplemented
1201#127C23×C5918yescomplemented
1202#127C23×C5914yescomplemented
1203#127C23×C5914yescomplemented
1204#127C23×C5918yescomplemented
1205#126C23×C5914yescomplemented
1206#126C23×C5914yescomplemented
1207#126C23×C5914yescomplemented
1208#126C23×C5914yescomplemented
1209#126C23×C5914yescomplemented
1210#126C23×C5918yescomplemented
1211#126C23×C5918yescomplemented
1212#126C23×C5918yescomplemented
1213#125C23×C5912yescomplemented
1214#125C23×C5914yescomplemented
1215#125C23×C5912yescomplemented
1216#125C23×C5912yescomplemented
1217#125C23×C5912yescomplemented
1218#124C23×C5912yes—
1219#124C23×C5914yes—
1220#124C23×C5912yes—
1221#124C23×C5912yes—
1222#124C23×C5914yescomplemented
1223#124C23×C5918yescomplemented
1224#124C23×C5914yescomplemented
1225#124C23×C5918yescomplemented
1226#124C23×C5914yescomplemented
1227#124C23×C5914yescomplemented
1228#124C23×C5912yescomplemented
1229#124C23×C5918yescomplemented
1230#124C23×C5914yescomplemented
1231#124C23×C5914yescomplemented
1232#124C23×C5914yescomplemented
1233#124C23×C5914yescomplemented
1234#124C23×C5918yescomplemented
1235#124C23×C5918yescomplemented
1236#124C23×C5918yescomplemented
1237#123C23×C5914yes—
1238#123C23×C5914yes—
1239#123C23×C5914yes—
1240#123C23×C5914yescomplemented
1241#123C23×C5914yescomplemented
1242#123C23×C5918yescomplemented
1243#123C23×C5914yescomplemented
1244#123C23×C5918yescomplemented
1245#123C23×C5914yescomplemented
1246#123C23×C5914yescomplemented
1247#123C23×C5914yescomplemented
1248#123C23×C5918yescomplemented
1249#123C23×C5914yescomplemented
1250#123C23×C5914yescomplemented
1251#123C23×C5918yescomplemented
1252#123C23×C5918yescomplemented
1253#123C23×C5918yescomplemented
1254#123C23×C5918yescomplemented
1255#123C23×C5918yescomplemented
1256#123C23×C5918yescomplemented
1257#123C23×C5918yescomplemented
1258#123C23×C5918yescomplemented
1259C22⋊Q8C23×C5912yes—
1260C22⋊Q8C23×C5914yes—
1261C22⋊Q8C23×C5912yes—
1262C22⋊Q8C23×C5912yescomplemented
1263C22⋊Q8C23×C5912yescomplemented
1264C22⋊Q8C23×C5912yescomplemented
1265C22⋊Q8C23×C5912yescomplemented
1266C22⋊Q8C23×C5914yescomplemented
1267C22⋊Q8C23×C5914yescomplemented
1268C22⋊Q8C23×C5914yescomplemented
1269C22⋊Q8C23×C5912yescomplemented
1270C22⋊Q8C23×C5914yescomplemented
1271C22⋊Q8C23×C5912yescomplemented
1272C22⋊Q8C23×C5912yescomplemented
1273C22⋊Q8C23×C5914yescomplemented
1274C22⋊Q8C23×C5918yescomplemented
1275C22⋊Q8C23×C5918yescomplemented
1276#121C23×C5914yes—
1277#121C23×C5912yes—
1278#121C23×C5912yes—
1279#121C23×C5914yes—
1280#121C23×C5914yes—
1281#121C23×C5914yes—
1282#121C23×C5914yes—
1283#121C23×C5914yes—
1284#121C23×C5914yes—
1285#121C23×C5918yes—
1286#121C23×C5914yes—
1287#121C23×C5912yes—
1288#121C23×C5914yes—
1289#121C23×C5914yes—
1290#121C23×C5914yes—
1291#121C23×C5912yes—
1292#121C23×C5912yes—
1293#121C23×C5912yes—
1294#121C23×C5912yes—
1295#121C23×C5912yes—
1296#121C23×C5912yescomplemented
1297#121C23×C5914yescomplemented
1298#121C23×C5912yescomplemented
1299#121C23×C5914yescomplemented
1300#121C23×C5918yescomplemented
1301#121C23×C5918yescomplemented
1302#121C23×C5918yescomplemented
1303#121C23×C5918yescomplemented
1304#121C23×C5914yescomplemented
1305#121C23×C5914yescomplemented
1306#121C23×C5918yescomplemented
1307#121C23×C5918yescomplemented
1308#121C23×C5912yescomplemented
1309#121C23×C5914yescomplemented
1310#121C23×C5912yescomplemented
1311#121C23×C5914yescomplemented
1312#121C23×C5912yescomplemented
1313#121C23×C5914yescomplemented
1314#121C23×C5914yescomplemented
1315#121C23×C5914yescomplemented
1316#121C23×C5918yescomplemented
1317#121C23×C5914yescomplemented
1318#121C23×C5912yescomplemented
1319#121C23×C5914yescomplemented
1320#121C23×C5914yescomplemented
1321#121C23×C5912yescomplemented
1322#121C23×C5914yescomplemented
1323#121C23×C5914yescomplemented
1324#121C23×C5918yescomplemented
1325#121C23×C5918yescomplemented
1326#121C23×C5918yescomplemented
1327#121C23×C5918yescomplemented
1328#121C23×C5918yescomplemented
1329#121C23×C5918yescomplemented
1330#121C23×C5918yescomplemented
1331#121C23×C5918yescomplemented
1332#121C23×C5918yescomplemented
1333#121C23×C5918yescomplemented
1334#121C23×C5918yescomplemented
1335#121C23×C5918yescomplemented
1336#121C23×C5918yescomplemented
1337#121C23×C5918yescomplemented
1338#120C23×C5914yes—
1339#120C23×C5918yes—
1340#120C23×C5914yes—
1341#120C23×C5914yes—
1342#120C23×C5914yes—
1343#120C23×C5918yes—
1344#120C23×C5918yes—
1345#120C23×C5918yes—
1346#120C23×C5918yes—
1347#120C23×C5918yes—
1348#120C23×C5918yes—
1349#120C23×C5914yes—
1350#120C23×C5918yescomplemented
1351#120C23×C5918yescomplemented
1352#120C23×C5918yescomplemented
1353#120C23×C5918yescomplemented
1354#120C23×C5918yescomplemented
1355#120C23×C5918yescomplemented
1356#120C23×C5918yescomplemented
1357#120C23×C5918yescomplemented
1358#120C23×C5918yescomplemented
1359#120C23×C5914yescomplemented
1360#120C23×C5918yescomplemented
1361#120C23×C5918yescomplemented
1362#120C23×C5918yescomplemented
1363#120C23×C5918yescomplemented
1364#120C23×C5918yescomplemented
1365#120C23×C5918yescomplemented
1366C4×Q8C23×C5911yescharacteristic, complemented
1367C4×Q8C23×C5911yescharacteristic, complemented
1368C4×Q8C23×C5912yescomplemented
1369C4×Q8C23×C5911yescharacteristic, complemented
1370C4×Q8C23×C5911yescharacteristic, complemented
1371C4×Q8C23×C5912yescomplemented
1372C4×Q8C23×C5914yescomplemented
1373C4×Q8C23×C5912yescomplemented
1374C4×D4C23×C5911yescharacteristic
1375C4×D4C23×C5911yescharacteristic
1376C4×D4C23×C5912yes—
1377C4×D4C23×C5912yes—
1378C4×D4C23×C5912yes—
1379C4×D4C23×C5911yescharacteristic
1380C4×D4C23×C5912yes—
1381C4×D4C23×C5912yes—
1382C4×D4C23×C5911yescharacteristic
1383C4×D4C23×C5912yes—
1384C4×D4C23×C5912yes—
1385C4×D4C23×C5912yes—
1386C4×D4C23×C5912yes—
1387C4×D4C23×C5912yes—
1388C4×D4C23×C5912yes—
1389C4×D4C23×C5912yes—
1390C4×D4C23×C5918yes—
1391C4×D4C23×C5914yescomplemented
1392C4×D4C23×C5912yescomplemented
1393C4×D4C23×C5914yescomplemented
1394C4×D4C23×C5912yescomplemented
1395C4×D4C23×C5914yescomplemented
1396C4×D4C23×C5911yescharacteristic, complemented
1397C4×D4C23×C5911yescharacteristic, complemented
1398C4×D4C23×C5914yescomplemented
1399C4×D4C23×C5911yescharacteristic, complemented
1400C4×D4C23×C5911yescharacteristic, complemented
1401C4×D4C23×C5918yescomplemented
1402C4×D4C23×C5918yescomplemented
1403C4×D4C23×C5914yescomplemented
1404C4×D4C23×C5914yescomplemented
1405C4×D4C23×C5914yescomplemented
1406C4×D4C23×C5914yescomplemented
1407C4×D4C23×C5914yescomplemented
1408C4×D4C23×C5914yescomplemented
1409C4×D4C23×C5914yescomplemented
1410C4×D4C23×C5914yescomplemented
1411C4×D4C23×C5912yescomplemented
1412C4×D4C23×C5914yescomplemented
1413C4×D4C23×C5914yescomplemented
1414C4×D4C23×C5914yescomplemented
1415C4×D4C23×C5918yescomplemented
1416C4×D4C23×C5918yescomplemented
1417C4×D4C23×C5914yescomplemented
1418C4×D4C23×C5918yescomplemented
1419C4×D4C23×C5914yescomplemented
1420#117C23×C5911yescharacteristic
1421#117C23×C5912yes—
1422#117C23×C5914yes—
1423#117C23×C5911yescharacteristic
1424#117C23×C5914yescomplemented
1425#117C23×C5912yescomplemented
1426#117C23×C5912yescomplemented
1427#117C23×C5912yescomplemented
1428#117C23×C5912yescomplemented
1429#117C23×C5914yescomplemented
1430#117C23×C5912yescomplemented
1431#117C23×C5914yescomplemented
1432#117C23×C5914yescomplemented
1433#117C23×C5914yescomplemented
1434#117C23×C5918yescomplemented
1435C2×C4⋊C4C23×C5911yescharacteristic
1436C2×C4⋊C4C23×C5911yescharacteristic
1437C2×C4⋊C4C23×C5912yescomplemented
1438C2×C4⋊C4C23×C5912yescomplemented
1439C2×C4⋊C4C23×C5912yescomplemented
1440C2×C4⋊C4C23×C5914yescomplemented
1441C2×C22⋊C4C23×C5914yes—
1442C2×C22⋊C4C23×C5912yes—
1443C2×C22⋊C4C23×C5912yes—
1444C2×C22⋊C4C23×C5918yes—
1445C2×C22⋊C4C23×C5914yes—
1446C2×C22⋊C4C23×C5914yescomplemented
1447C2×C22⋊C4C23×C5918yescomplemented
1448C2×C22⋊C4C23×C5918yescomplemented
1449C2×C22⋊C4C23×C5918yescomplemented
1450C2×C22⋊C4C23×C5918yescomplemented
1451C2×C22⋊C4C23×C5918yescomplemented
1452C2×C42C23×C5911yescharacteristic
1453C2×C42C23×C5914yescomplemented
1454C2×C42C23×C5912yescomplemented
1455C2×C42C23×C5912yescomplemented
1456C24—48no—
1457C24—48no—
1458C24—84no—
1459C24C24×C5912yes—
1460C24C24×C5914yes—
1461C24C24×C5912yes—
1462C24C24×C5918yes—
1463C24C24×C5914yes—
1464C24C24×C5918yes—
1465C24C24×C5918yes—
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×C5912yes—
1483C2×Q8C24×C5911yescharacteristic
1484C2×Q8C24×C5911yescharacteristic
1485C2×Q8C24×C5912yes—
1486C2×Q8C24×C5912yes—
1487C2×Q8C24×C5914yes—
1488C2×Q8C24×C5914yes—
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×C5912yes—
1517C2×D4C24×C5914yes—
1518C2×D4C24×C5912yes—
1519C2×D4C24×C5912yes—
1520C2×D4C24×C5912yes—
1521C2×D4C24×C5911yescharacteristic
1522C2×D4C24×C5912yes—
1523C2×D4C24×C5918yes—
1524C2×D4C24×C5914yes—
1525C2×D4C24×C5914yes—
1526C2×D4C24×C5914yes—
1527C2×D4C24×C5914yes—
1528C2×D4C24×C5914yes—
1529C2×D4C24×C5912yes—
1530C2×D4C24×C5911yescharacteristic
1531C2×D4C24×C5912yes—
1532C2×D4C24×C5911yescharacteristic
1533C2×D4C24×C5914yes—
1534C2×D4C24×C5914yes—
1535C2×D4C24×C5914yes—
1536C2×D4C24×C5914yes—
1537C2×D4C24×C5914yes—
1538C2×D4C24×C5918yes—
1539C2×D4C24×C5918yes—
1540C2×D4C24×C5914yes—
1541C2×D4C24×C5918yes—
1542C2×D4C24×C5912yes—
1543C2×D4C24×C5918yes—
1544C2×D4C24×C5918yes—
1545C2×D4C24×C5918yes—
1546C2×D4C24×C5914yes—
1547C2×D4C24×C5914yes—
1548C2×D4C24×C5918yes—
1549C2×D4C24×C5914yes—
1550C2×D4C24×C5918yes—
1551C2×D4C24×C5918yes—
1552C2×D4C24×C5914yes—
1553C2×D4C24×C5918yes—
1554C2×D4C24×C5918yes—
1555C2×D4C24×C5914yes—
1556C2×D4C24×C5914yes—
1557C2×D4C24×C5914yes—
1558C2×D4C24×C5911yescharacteristic
1559C22×C4—28no—
1560C22×C4—44no—
1561C22×C4—48no—
1562C22×C4C24×C5911yescharacteristic
1563C22×C4C24×C5912yes—
1564C22×C4C24×C5914yes—
1565C22×C4C24×C5912yes—
1566C22×C4C24×C5912yes—
1567C22×C4C24×C5912yes—
1568C22×C4C24×C5912yes—
1569C22×C4C24×C5912yes—
1570C22×C4C24×C5912yes—
1571C22×C4C24×C5914yes—
1572C22×C4C24×C5912yes—
1573C22×C4C24×C5912yes—
1574C22×C4C24×C5914yes—
1575C22×C4C24×C5911yescharacteristic
1576C22×C4C24×C5914yes—
1577C22×C4C24×C5912yes—
1578C22×C4C24×C5912yes—
1579C22×C4C24×C5912yes—
1580C22×C4C24×C5918yes—
1581C22×C4C24×C5918yes—
1582C22×C4C24×C5914yes—
1583C22×C4C24×C5918yes—
1584C22×C4C24×C5914yes—
1585C22×C4C24×C5918yes—
1586C22×C4C24×C5914yes—
1587C22×C4C24×C5914yes—
1588C22×C4C24×C5911yescharacteristic
1589C4⋊C4C24×C5912yes—
1590C4⋊C4C24×C5911yescharacteristic
1591C4⋊C4C24×C5911yescharacteristic
1592C4⋊C4C24×C5912yes—
1593C4⋊C4C24×C5912yes—
1594C4⋊C4C24×C5912yes—
1595C4⋊C4C24×C5911yescharacteristic
1596C4⋊C4C24×C5911yescharacteristic
1597C4⋊C4C24×C5912yes—
1598C4⋊C4C24×C5914yes—
1599C4⋊C4C24×C5914yes—
1600C4⋊C4C24×C5912yes—
1601C4⋊C4C24×C5918yes—
1602C4⋊C4C24×C5914yes—
1603C4⋊C4C24×C5911yescharacteristic
1604C4⋊C4C24×C5911yescharacteristic
1605C4⋊C4C24×C5912yes—
1606C4⋊C4C24×C5914yes—
1607C4⋊C4C24×C5914yes—
1608C4⋊C4C24×C5912yes—
1609C4⋊C4C24×C5912yes—
1610C4⋊C4C24×C5912yes—
1611C4⋊C4C24×C5912yes—
1612C4⋊C4C24×C5914yes—
1613C4⋊C4C24×C5914yes—
1614C4⋊C4C24×C5914yes—
1615C4⋊C4C24×C5914yes—
1616C4⋊C4C24×C5912yes—
1617C4⋊C4C24×C5914yes—
1618C4⋊C4C24×C5914yes—
1619C4⋊C4C24×C5914yes—
1620C4⋊C4C24×C5912yes—
1621C22⋊C4C24×C5912yes—
1622C22⋊C4C24×C5914yes—
1623C22⋊C4C24×C5912yes—
1624C22⋊C4C24×C5912yes—
1625C22⋊C4C24×C5918yes—
1626C22⋊C4C24×C5912yes—
1627C22⋊C4C24×C5914yes—
1628C22⋊C4C24×C5914yes—
1629C22⋊C4C24×C5918yes—
1630C22⋊C4C24×C5914yes—
1631C22⋊C4C24×C5912yes—
1632C22⋊C4C24×C5912yes—
1633C22⋊C4C24×C5914yes—
1634C22⋊C4C24×C5918yes—
1635C22⋊C4C24×C5918yes—
1636C22⋊C4C24×C5914yes—
1637C22⋊C4C24×C5914yes—
1638C22⋊C4C24×C5914yes—
1639C22⋊C4C24×C5918yes—
1640C22⋊C4C24×C5914yes—
1641C22⋊C4C24×C5914yes—
1642C22⋊C4C24×C5918yes—
1643C22⋊C4C24×C5914yes—
1644C22⋊C4C24×C5914yes—
1645C22⋊C4C24×C5914yes—
1646C22⋊C4C24×C5918yes—
1647C22⋊C4C24×C5914yes—
1648C22⋊C4C24×C5914yes—
1649C22⋊C4C24×C5918yes—
1650C22⋊C4C24×C5918yes—
1651C22⋊C4C24×C5918yes—
1652C22⋊C4C24×C5914yes—
1653C22⋊C4C24×C5914yes—
1654C22⋊C4C24×C5912yes—
1655C22⋊C4C24×C5912yes—
1656C22⋊C4C24×C5912yes—
1657C22⋊C4C24×C5918yes—
1658C22⋊C4C24×C5912yes—
1659C22⋊C4C24×C5914yes—
1660C22⋊C4C24×C5914yes—
1661C22⋊C4C24×C5914yes—
1662C22⋊C4C24×C5914yes—
1663C42C24×C5911yescharacteristic
1664C42C24×C5911yescharacteristic
1665C42C24×C5911yescharacteristic
1666C42C24×C5911yescharacteristic
1667C42C24×C5912yes—
1668C42C24×C5914yes—
1669C42C24×C5912yes—
1670C42C24×C5914yes—
1671C42C24×C5914yes—
1672C42C24×C5912yes—
1673C42C24×C5912yes—
1674C42C24×C5912yes—
1675C42C24×C5912yes—
1676C42C24×C5918yes—
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×C5912yes—
1700C23C25×C5914yes—
1701C23C25×C5912yes—
1702C23C25×C5918yes—
1703C23C25×C5914yes—
1704C23C25×C5912yes—
1705C23C25×C5911yescharacteristic
1706C23C25×C5912yes—
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)×C5914yescomplemented
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)×C5914yescomplemented
1784C2×C4C25×C5911yescharacteristic
1785C2×C4C25×C5914yes—
1786C2×C4C25×C5911yescharacteristic
1787C2×C4C25×C5912yes—
1788C2×C4C25×C5912yes—
1789C2×C4C25×C5912yes—
1790C2×C4C25×C5912yes—
1791C2×C4C25×C5912yes—
1792C2×C4C25×C5912yes—
1793C2×C4C25×C5914yes—
1794C2×C4C25×C5914yes—
1795C2×C4C25×C5914yes—
1796C2×C4C25×C5912yes—
1797C2×C4C25×C5911yescharacteristic
1798C2×C4C25×C5912yes—
1799C2×C4C25×C5911yescharacteristic
1800C2×C4C25×C5911yescharacteristic
1801C2×C4C25×C5911yescharacteristic
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)×C5912yes—
1832C22C2×H(5,𝔽2)×C5914yes—
1833C22C26×C5911yescharacteristic
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)×C5912yes—
1850C4C2×H(5,𝔽2)×C5912yes—
1851C4C2×H(5,𝔽2)×C5912yes—
1852C2—22no—
1853C2—24no—
1854C2—42no—
1855C2—44no—
1856C2—48no—
1857C2—42no—
1858C2—44no—
1859C2—42no—
1860C2C22×H(5,𝔽2)×C5911yescharacteristic
1861C2C22×H(5,𝔽2)×C5911yescharacteristic
1862C2C59×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C59C26
commutator, Frattini, cosocleC22C26×C59
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3558C2semidirect
2. C59×#3549C2semidirect
3. C59×#3546C2semidirect
4. C59×#3546C2semidirect
5. C59×#3543C2semidirect
6. C59×#3543C2semidirect
7. C59×#3542C2semidirect
8. C59×#3542C2semidirect
9. C59×#3537C2semidirect
10. C59×#3532C2semidirect
11. C59×#3519C2semidirect
12. C59×#3514C2semidirect
13. C59×#3508C2semidirect
14. C59×#3506C2semidirect
15. C59×#3498C2semidirect
16. C59×#3498C2semidirect
17. C59×#3496C2semidirect
18. C59×#3494C2semidirect
19. C59×#3488C2semidirect
20. C59×#3484C2semidirect
21. C59×#3484C2semidirect
22. C59×#3475C2semidirect
23. D4×#41×C59C2semidirect
24. C2×D42×C59C2semidirect
25. C59×#3460C2semidirect
26. C2×C59×#535C2semidirect
27. C2×H(5,𝔽2)×C59C22semidirect
28. C2×H(5,𝔽2)×C59C22semidirect
29. C22×#41×C59C22semidirect
30. C23×D4×C59C22semidirect
31. C23×D4×C59C22semidirect
32. C59×#562C22semidirect
33. C59×H(3,𝔽4)C22semidirect
34. C59×#560C22semidirect
35. C59×#560C22semidirect
36. C59×#560C22semidirect
37. C59×#560C22semidirect
38. C59×#559C22semidirect
39. C59×#559C22semidirect
40. C59×#559C22semidirect
41. C59×#556C22semidirect
42. C59×#556C22semidirect
43. C59×#555C22semidirect
44. C59×#555C22semidirect
45. C59×#555C22semidirect
46. C59×#555C22semidirect
47. C59×#554C22semidirect
48. C59×#553C22semidirect
49. C59×#553C22semidirect
50. C59×#553C22semidirect
51. C59×#553C22semidirect
52. C59×#553C22semidirect
53. C59×#552C22semidirect
54. C59×#552C22semidirect
55. C59×#551C22semidirect
56. C59×#551C22semidirect
57. C59×#551C22semidirect
58. C59×#550C22semidirect
59. C59×#550C22semidirect
60. C59×#550C22semidirect
61. C59×#550C22semidirect
62. C59×#550C22semidirect
63. C59×#550C22semidirect
64. C59×#550C22semidirect
65. C59×#550C22semidirect
66. D4×Q8×C59C22semidirect
67. C59×#548C22semidirect
68. C59×#548C22semidirect
69. C59×#547C22semidirect
70. C59×#547C22semidirect
71. C59×#547C22semidirect
72. C59×#547C22semidirect
73. C59×#547C22semidirect
74. C59×#546C22semidirect
75. C59×#546C22semidirect
76. C59×#546C22semidirect
77. C59×#546C22semidirect
78. C59×#546C22semidirect
79. C59×#546C22semidirect
80. C59×#546C22semidirect
81. C59×#546C22semidirect
82. C59×#546C22semidirect
83. C59×#546C22semidirect
84. C59×#546C22semidirect
85. C59×#546C22semidirect
86. C59×#546C22semidirect
87. C59×#546C22semidirect
88. C59×#546C22semidirect
89. C59×#546C22semidirect
90. C59×#546C22semidirect
91. C59×#546C22semidirect
92. D42×C59C22semidirect
93. D42×C59C22semidirect
94. D42×C59C22semidirect
95. D42×C59C22semidirect
96. D42×C59C22semidirect
97. D42×C59C22semidirect
98. D42×C59C22semidirect
99. D42×C59C22semidirect
100. D42×C59C22semidirect
101. D42×C59C22semidirect
102. D42×C59C22semidirect
103. D42×C59C22semidirect
104. D42×C59C22semidirect
105. D42×C59C22semidirect
106. D42×C59C22semidirect
107. D42×C59C22semidirect
108. D42×C59C22semidirect
109. D42×C59C22semidirect
110. D42×C59C22semidirect
111. D42×C59C22semidirect
112. D42×C59C22semidirect
113. D42×C59C22semidirect
114. C59×#544C22semidirect
115. C59×#542C22semidirect
116. C59×#542C22semidirect
117. C59×#542C22semidirect
118. C59×#542C22semidirect
119. C59×#540C22semidirect
120. C59×#540C22semidirect
121. C59×#540C22semidirect
122. C59×#540C22semidirect
123. C59×#540C22semidirect
124. C59×#540C22semidirect
125. C59×#538C22semidirect
126. C59×#538C22semidirect
127. C59×#538C22semidirect
128. C59×#538C22semidirect
129. C59×#538C22semidirect
130. C59×#538C22semidirect
131. C59×#538C22semidirect
132. C59×#537C22semidirect
133. C59×#537C22semidirect
134. C59×#537C22semidirect
135. C59×#535C22semidirect
136. C59×#535C22semidirect
137. C59×#535C22semidirect
138. C59×#535C22semidirect
139. C59×#535C22semidirect
140. C59×#535C22semidirect
141. C59×#535C22semidirect
142. C59×#535C22semidirect
143. C59×#535C22semidirect
144. C59×#535C22semidirect
145. C59×#535C22semidirect
146. C59×#535C22semidirect
147. C59×#535C22semidirect
148. C59×#535C22semidirect
149. C59×#535C22semidirect
150. C59×#535C22semidirect
151. C59×#535C22semidirect
152. C59×#534C22semidirect
153. C59×#534C22semidirect
154. C59×#534C22semidirect
155. C59×#534C22semidirect
156. C59×#534C22semidirect
157. C59×#533C22semidirect
158. C59×#532C22semidirect
159. C59×#532C22semidirect
160. C59×#532C22semidirect
161. C59×#532C22semidirect
162. C59×#532C22semidirect
163. C59×#532C22semidirect
164. C59×#532C22semidirect
165. C59×#532C22semidirect
166. C2×#127×C59C22semidirect
167. C2×#127×C59C22semidirect
168. C2×#127×C59C22semidirect
169. C59×#529C22semidirect
170. C59×#529C22semidirect
171. C59×#529C22semidirect
172. C59×#529C22semidirect
173. C59×#529C22semidirect
174. C2×#124×C59C22semidirect
175. C59×#525C22semidirect
176. C59×#525C22semidirect
177. C59×#525C22semidirect
178. C59×#525C22semidirect
179. C59×#525C22semidirect
180. C59×#525C22semidirect
181. C2×#121×C59C22semidirect
182. C2×#121×C59C22semidirect
183. C2×#121×C59C22semidirect
184. C2×#121×C59C22semidirect
185. C2×#121×C59C22semidirect
186. C2×#120×C59C22semidirect
187. C2×#120×C59C22semidirect
188. C2×#120×C59C22semidirect
189. C59×#520C22semidirect
190. C59×#518C22semidirect
191. C59×#518C22semidirect
192. C4×#41×C59C22semidirect
193. C4×#41×C59C22semidirect
194. C4×#41×C59C22semidirect
195. C2×C4×D4×C59C22semidirect
196. C2×C4×D4×C59C22semidirect
197. C2×C4×D4×C59C22semidirect
198. C2×#117×C59C22semidirect
208. C2×#41×C59C23semidirect
209. C2×#41×C59C23semidirect
210. C2×#41×C59C23semidirect
211. C2×#41×C59C23semidirect
212. C2×#41×C59C23semidirect
213. C2×#41×C59C23semidirect
214. C2×#41×C59C23semidirect
215. C2×#41×C59C23semidirect
216. C2×#41×C59C23semidirect
217. C2×#41×C59C23semidirect
218. C22×Q8×C59C23semidirect
238. C22×D4×C59C23semidirect
239. C22×D4×C59C23semidirect
240. C22×D4×C59C23semidirect
241. C22×D4×C59C23semidirect
242. C22×D4×C59C23semidirect
243. C22×D4×C59C23semidirect
244. C22×D4×C59C23semidirect
245. C22×D4×C59C23semidirect
246. C22×D4×C59C23semidirect
247. C22×D4×C59C23semidirect
250. C23×C4×C59C23semidirect
251. C4⋊Q8×C59C23semidirect
252. C4⋊Q8×C59C23semidirect
253. C4⋊Q8×C59C23semidirect
254. C4⋊Q8×C59C23semidirect
255. C4⋊Q8×C59C23semidirect
256. C4⋊Q8×C59C23semidirect
265. #127×C59C23semidirect
266. #127×C59C23semidirect
267. #127×C59C23semidirect
268. #127×C59C23semidirect
269. #127×C59C23semidirect
270. #127×C59C23semidirect
271. #127×C59C23semidirect
272. #127×C59C23semidirect
273. #126×C59C23semidirect
274. #126×C59C23semidirect
275. #126×C59C23semidirect
276. #126×C59C23semidirect
277. #126×C59C23semidirect
278. #126×C59C23semidirect
279. #126×C59C23semidirect
280. #126×C59C23semidirect
281. #125×C59C23semidirect
282. #125×C59C23semidirect
283. #125×C59C23semidirect
284. #125×C59C23semidirect
285. #125×C59C23semidirect
290. #124×C59C23semidirect
291. #124×C59C23semidirect
292. #124×C59C23semidirect
293. #124×C59C23semidirect
294. #124×C59C23semidirect
295. #124×C59C23semidirect
296. #124×C59C23semidirect
297. #124×C59C23semidirect
298. #124×C59C23semidirect
299. #124×C59C23semidirect
300. #124×C59C23semidirect
301. #124×C59C23semidirect
302. #124×C59C23semidirect
303. #124×C59C23semidirect
304. #124×C59C23semidirect
308. #123×C59C23semidirect
309. #123×C59C23semidirect
310. #123×C59C23semidirect
311. #123×C59C23semidirect
312. #123×C59C23semidirect
313. #123×C59C23semidirect
314. #123×C59C23semidirect
315. #123×C59C23semidirect
316. #123×C59C23semidirect
317. #123×C59C23semidirect
318. #123×C59C23semidirect
319. #123×C59C23semidirect
320. #123×C59C23semidirect
321. #123×C59C23semidirect
322. #123×C59C23semidirect
323. #123×C59C23semidirect
324. #123×C59C23semidirect
325. #123×C59C23semidirect
326. #123×C59C23semidirect
330. C22⋊Q8×C59C23semidirect
331. C22⋊Q8×C59C23semidirect
332. C22⋊Q8×C59C23semidirect
333. C22⋊Q8×C59C23semidirect
334. C22⋊Q8×C59C23semidirect
335. C22⋊Q8×C59C23semidirect
336. C22⋊Q8×C59C23semidirect
337. C22⋊Q8×C59C23semidirect
338. C22⋊Q8×C59C23semidirect
339. C22⋊Q8×C59C23semidirect
340. C22⋊Q8×C59C23semidirect
341. C22⋊Q8×C59C23semidirect
342. C22⋊Q8×C59C23semidirect
343. C22⋊Q8×C59C23semidirect
364. #121×C59C23semidirect
365. #121×C59C23semidirect
366. #121×C59C23semidirect
367. #121×C59C23semidirect
368. #121×C59C23semidirect
369. #121×C59C23semidirect
370. #121×C59C23semidirect
371. #121×C59C23semidirect
372. #121×C59C23semidirect
373. #121×C59C23semidirect
374. #121×C59C23semidirect
375. #121×C59C23semidirect
376. #121×C59C23semidirect
377. #121×C59C23semidirect
378. #121×C59C23semidirect
379. #121×C59C23semidirect
380. #121×C59C23semidirect
381. #121×C59C23semidirect
382. #121×C59C23semidirect
383. #121×C59C23semidirect
384. #121×C59C23semidirect
385. #121×C59C23semidirect
386. #121×C59C23semidirect
387. #121×C59C23semidirect
388. #121×C59C23semidirect
389. #121×C59C23semidirect
390. #121×C59C23semidirect
391. #121×C59C23semidirect
392. #121×C59C23semidirect
393. #121×C59C23semidirect
394. #121×C59C23semidirect
395. #121×C59C23semidirect
396. #121×C59C23semidirect
397. #121×C59C23semidirect
398. #121×C59C23semidirect
399. #121×C59C23semidirect
400. #121×C59C23semidirect
401. #121×C59C23semidirect
402. #121×C59C23semidirect
403. #121×C59C23semidirect
404. #121×C59C23semidirect
405. #121×C59C23semidirect
418. #120×C59C23semidirect
419. #120×C59C23semidirect
420. #120×C59C23semidirect
421. #120×C59C23semidirect
422. #120×C59C23semidirect
423. #120×C59C23semidirect
424. #120×C59C23semidirect
425. #120×C59C23semidirect
426. #120×C59C23semidirect
427. #120×C59C23semidirect
428. #120×C59C23semidirect
429. #120×C59C23semidirect
430. #120×C59C23semidirect
431. #120×C59C23semidirect
432. #120×C59C23semidirect
433. #120×C59C23semidirect
434. C4×Q8×C59C23semidirect
435. C4×Q8×C59C23semidirect
436. C4×Q8×C59C23semidirect
437. C4×Q8×C59C23semidirect
438. C4×Q8×C59C23semidirect
439. C4×Q8×C59C23semidirect
440. C4×Q8×C59C23semidirect
441. C4×Q8×C59C23semidirect
459. C4×D4×C59C23semidirect
460. C4×D4×C59C23semidirect
461. C4×D4×C59C23semidirect
462. C4×D4×C59C23semidirect
463. C4×D4×C59C23semidirect
464. C4×D4×C59C23semidirect
465. C4×D4×C59C23semidirect
466. C4×D4×C59C23semidirect
467. C4×D4×C59C23semidirect
468. C4×D4×C59C23semidirect
469. C4×D4×C59C23semidirect
470. C4×D4×C59C23semidirect
471. C4×D4×C59C23semidirect
472. C4×D4×C59C23semidirect
473. C4×D4×C59C23semidirect
474. C4×D4×C59C23semidirect
475. C4×D4×C59C23semidirect
476. C4×D4×C59C23semidirect
477. C4×D4×C59C23semidirect
478. C4×D4×C59C23semidirect
479. C4×D4×C59C23semidirect
480. C4×D4×C59C23semidirect
481. C4×D4×C59C23semidirect
482. C4×D4×C59C23semidirect
483. C4×D4×C59C23semidirect
484. C4×D4×C59C23semidirect
485. C4×D4×C59C23semidirect
486. C4×D4×C59C23semidirect
487. C4×D4×C59C23semidirect
492. #117×C59C23semidirect
493. #117×C59C23semidirect
494. #117×C59C23semidirect
495. #117×C59C23semidirect
496. #117×C59C23semidirect
497. #117×C59C23semidirect
498. #117×C59C23semidirect
499. #117×C59C23semidirect
500. #117×C59C23semidirect
501. #117×C59C23semidirect
502. #117×C59C23semidirect
505. C2×C4⋊C4×C59C23semidirect
506. C2×C4⋊C4×C59C23semidirect
507. C2×C4⋊C4×C59C23semidirect
508. C2×C4⋊C4×C59C23semidirect
514. C2×C22⋊C4×C59C23semidirect
515. C2×C22⋊C4×C59C23semidirect
516. C2×C22⋊C4×C59C23semidirect
517. C2×C22⋊C4×C59C23semidirect
518. C2×C22⋊C4×C59C23semidirect
519. C2×C22⋊C4×C59C23semidirect
521. C2×C42×C59C23semidirect
522. C2×C42×C59C23semidirect
523. C2×C42×C59C23semidirect
824. D4×C59H(5,𝔽2)semidirect
851. C2×C4×C59H(5,𝔽2)semidirect
870. #62912C59direct (N × H)
921. #3558C2×C59semidirect
922. #3549C2×C59semidirect
923. #3546C2×C59semidirect
924. #3546C2×C59semidirect
925. #3543C2×C59semidirect
926. #3543C2×C59semidirect
927. #3542C2×C59semidirect
928. #3542C2×C59semidirect
929. #3537C2×C59semidirect
930. #3532C2×C59semidirect
931. #3519C2×C59semidirect
932. #3514C2×C59semidirect
933. #3508C2×C59semidirect
934. #3506C2×C59semidirect
935. #3498C2×C59semidirect
936. #3498C2×C59semidirect
937. #3496C2×C59semidirect
938. #3494C2×C59semidirect
939. #3488C2×C59semidirect
940. #3484C2×C59semidirect
941. #3484C2×C59semidirect
942. #3475C2×C59semidirect
943. D4×#41C2×C59semidirect
944. C2×D42C2×C59semidirect
945. #3460C2×C59semidirect
946. C2×#535C2×C59semidirect
958. C2×H(5,𝔽2)C22×C59semidirect
959. C2×H(5,𝔽2)C22×C59semidirect
960. C22×#41C22×C59semidirect
961. C23×D4C22×C59semidirect
962. C23×D4C22×C59semidirect
963. #562C22×C59semidirect
964. H(3,𝔽4)C22×C59semidirect
965. #560C22×C59semidirect
966. #560C22×C59semidirect
967. #560C22×C59semidirect
968. #560C22×C59semidirect
969. #559C22×C59semidirect
970. #559C22×C59semidirect
971. #559C22×C59semidirect
972. #556C22×C59semidirect
973. #556C22×C59semidirect
974. #555C22×C59semidirect
975. #555C22×C59semidirect
976. #555C22×C59semidirect
977. #555C22×C59semidirect
978. #554C22×C59semidirect
979. #553C22×C59semidirect
980. #553C22×C59semidirect
981. #553C22×C59semidirect
982. #553C22×C59semidirect
983. #553C22×C59semidirect
984. #552C22×C59semidirect
985. #552C22×C59semidirect
986. #551C22×C59semidirect
987. #551C22×C59semidirect
988. #551C22×C59semidirect
989. #550C22×C59semidirect
990. #550C22×C59semidirect
991. #550C22×C59semidirect
992. #550C22×C59semidirect
993. #550C22×C59semidirect
994. #550C22×C59semidirect
995. #550C22×C59semidirect
996. #550C22×C59semidirect
997. D4×Q8C22×C59semidirect
998. #548C22×C59semidirect
999. #548C22×C59semidirect
1000. #547C22×C59semidirect
1001. #547C22×C59semidirect
1002. #547C22×C59semidirect
1003. #547C22×C59semidirect
1004. #547C22×C59semidirect
1005. #546C22×C59semidirect
1006. #546C22×C59semidirect
1007. #546C22×C59semidirect
1008. #546C22×C59semidirect
1009. #546C22×C59semidirect
1010. #546C22×C59semidirect
1011. #546C22×C59semidirect
1012. #546C22×C59semidirect
1013. #546C22×C59semidirect
1014. #546C22×C59semidirect
1015. #546C22×C59semidirect
1016. #546C22×C59semidirect
1017. #546C22×C59semidirect
1018. #546C22×C59semidirect
1019. #546C22×C59semidirect
1020. #546C22×C59semidirect
1021. #546C22×C59semidirect
1022. #546C22×C59semidirect
1023. D42C22×C59semidirect
1024. D42C22×C59semidirect
1025. D42C22×C59semidirect
1026. D42C22×C59semidirect
1027. D42C22×C59semidirect
1028. D42C22×C59semidirect
1029. D42C22×C59semidirect
1030. D42C22×C59semidirect
1031. D42C22×C59semidirect
1032. D42C22×C59semidirect
1033. D42C22×C59semidirect
1034. D42C22×C59semidirect
1035. D42C22×C59semidirect
1036. D42C22×C59semidirect
1037. D42C22×C59semidirect
1038. D42C22×C59semidirect
1039. D42C22×C59semidirect
1040. D42C22×C59semidirect
1041. D42C22×C59semidirect
1042. D42C22×C59semidirect
1043. D42C22×C59semidirect
1044. D42C22×C59semidirect
1045. #544C22×C59semidirect
1046. #542C22×C59semidirect
1047. #542C22×C59semidirect
1048. #542C22×C59semidirect
1049. #542C22×C59semidirect
1050. #540C22×C59semidirect
1051. #540C22×C59semidirect
1052. #540C22×C59semidirect
1053. #540C22×C59semidirect
1054. #540C22×C59semidirect
1055. #540C22×C59semidirect
1056. #538C22×C59semidirect
1057. #538C22×C59semidirect
1058. #538C22×C59semidirect
1059. #538C22×C59semidirect
1060. #538C22×C59semidirect
1061. #538C22×C59semidirect
1062. #538C22×C59semidirect
1063. #537C22×C59semidirect
1064. #537C22×C59semidirect
1065. #537C22×C59semidirect
1066. #535C22×C59semidirect
1067. #535C22×C59semidirect
1068. #535C22×C59semidirect
1069. #535C22×C59semidirect
1070. #535C22×C59semidirect
1071. #535C22×C59semidirect
1072. #535C22×C59semidirect
1073. #535C22×C59semidirect
1074. #535C22×C59semidirect
1075. #535C22×C59semidirect
1076. #535C22×C59semidirect
1077. #535C22×C59semidirect
1078. #535C22×C59semidirect
1079. #535C22×C59semidirect
1080. #535C22×C59semidirect
1081. #535C22×C59semidirect
1082. #535C22×C59semidirect
1083. #534C22×C59semidirect
1084. #534C22×C59semidirect
1085. #534C22×C59semidirect
1086. #534C22×C59semidirect
1087. #534C22×C59semidirect
1088. #533C22×C59semidirect
1089. #532C22×C59semidirect
1090. #532C22×C59semidirect
1091. #532C22×C59semidirect
1092. #532C22×C59semidirect
1093. #532C22×C59semidirect
1094. #532C22×C59semidirect
1095. #532C22×C59semidirect
1096. #532C22×C59semidirect
1097. C2×#127C22×C59semidirect
1098. C2×#127C22×C59semidirect
1099. C2×#127C22×C59semidirect
1100. #529C22×C59semidirect
1101. #529C22×C59semidirect
1102. #529C22×C59semidirect
1103. #529C22×C59semidirect
1104. #529C22×C59semidirect
1105. C2×#124C22×C59semidirect
1106. #525C22×C59semidirect
1107. #525C22×C59semidirect
1108. #525C22×C59semidirect
1109. #525C22×C59semidirect
1110. #525C22×C59semidirect
1111. #525C22×C59semidirect
1112. C2×#121C22×C59semidirect
1113. C2×#121C22×C59semidirect
1114. C2×#121C22×C59semidirect
1115. C2×#121C22×C59semidirect
1116. C2×#121C22×C59semidirect
1117. C2×#120C22×C59semidirect
1118. C2×#120C22×C59semidirect
1119. C2×#120C22×C59semidirect
1120. #520C22×C59semidirect
1121. #518C22×C59semidirect
1122. #518C22×C59semidirect
1123. C4×#41C22×C59semidirect
1124. C4×#41C22×C59semidirect
1125. C4×#41C22×C59semidirect
1126. C2×C4×D4C22×C59semidirect
1127. C2×C4×D4C22×C59semidirect
1128. C2×C4×D4C22×C59semidirect
1129. C2×#117C22×C59semidirect
1130. C59#62912direct (N × H)
1140. C2×#41C23×C59semidirect
1141. C2×#41C23×C59semidirect
1142. C2×#41C23×C59semidirect
1143. C2×#41C23×C59semidirect
1144. C2×#41C23×C59semidirect
1145. C2×#41C23×C59semidirect
1146. C2×#41C23×C59semidirect
1147. C2×#41C23×C59semidirect
1148. C2×#41C23×C59semidirect
1149. C2×#41C23×C59semidirect
1150. C22×Q8C23×C59semidirect
1170. C22×D4C23×C59semidirect
1171. C22×D4C23×C59semidirect
1172. C22×D4C23×C59semidirect
1173. C22×D4C23×C59semidirect
1174. C22×D4C23×C59semidirect
1175. C22×D4C23×C59semidirect
1176. C22×D4C23×C59semidirect
1177. C22×D4C23×C59semidirect
1178. C22×D4C23×C59semidirect
1179. C22×D4C23×C59semidirect
1182. C23×C4C23×C59semidirect
1183. C4⋊Q8C23×C59semidirect
1184. C4⋊Q8C23×C59semidirect
1185. C4⋊Q8C23×C59semidirect
1186. C4⋊Q8C23×C59semidirect
1187. C4⋊Q8C23×C59semidirect
1188. C4⋊Q8C23×C59semidirect
1197. #127C23×C59semidirect
1198. #127C23×C59semidirect
1199. #127C23×C59semidirect
1200. #127C23×C59semidirect
1201. #127C23×C59semidirect
1202. #127C23×C59semidirect
1203. #127C23×C59semidirect
1204. #127C23×C59semidirect
1205. #126C23×C59semidirect
1206. #126C23×C59semidirect
1207. #126C23×C59semidirect
1208. #126C23×C59semidirect
1209. #126C23×C59semidirect
1210. #126C23×C59semidirect
1211. #126C23×C59semidirect
1212. #126C23×C59semidirect
1213. #125C23×C59semidirect
1214. #125C23×C59semidirect
1215. #125C23×C59semidirect
1216. #125C23×C59semidirect
1217. #125C23×C59semidirect
1222. #124C23×C59semidirect
1223. #124C23×C59semidirect
1224. #124C23×C59semidirect
1225. #124C23×C59semidirect
1226. #124C23×C59semidirect
1227. #124C23×C59semidirect
1228. #124C23×C59semidirect
1229. #124C23×C59semidirect
1230. #124C23×C59semidirect
1231. #124C23×C59semidirect
1232. #124C23×C59semidirect
1233. #124C23×C59semidirect
1234. #124C23×C59semidirect
1235. #124C23×C59semidirect
1236. #124C23×C59semidirect
1240. #123C23×C59semidirect
1241. #123C23×C59semidirect
1242. #123C23×C59semidirect
1243. #123C23×C59semidirect
1244. #123C23×C59semidirect
1245. #123C23×C59semidirect
1246. #123C23×C59semidirect
1247. #123C23×C59semidirect
1248. #123C23×C59semidirect
1249. #123C23×C59semidirect
1250. #123C23×C59semidirect
1251. #123C23×C59semidirect
1252. #123C23×C59semidirect
1253. #123C23×C59semidirect
1254. #123C23×C59semidirect
1255. #123C23×C59semidirect
1256. #123C23×C59semidirect
1257. #123C23×C59semidirect
1258. #123C23×C59semidirect
1262. C22⋊Q8C23×C59semidirect
1263. C22⋊Q8C23×C59semidirect
1264. C22⋊Q8C23×C59semidirect
1265. C22⋊Q8C23×C59semidirect
1266. C22⋊Q8C23×C59semidirect
1267. C22⋊Q8C23×C59semidirect
1268. C22⋊Q8C23×C59semidirect
1269. C22⋊Q8C23×C59semidirect
1270. C22⋊Q8C23×C59semidirect
1271. C22⋊Q8C23×C59semidirect
1272. C22⋊Q8C23×C59semidirect
1273. C22⋊Q8C23×C59semidirect
1274. C22⋊Q8C23×C59semidirect
1275. C22⋊Q8C23×C59semidirect
1296. #121C23×C59semidirect
1297. #121C23×C59semidirect
1298. #121C23×C59semidirect
1299. #121C23×C59semidirect
1300. #121C23×C59semidirect
1301. #121C23×C59semidirect
1302. #121C23×C59semidirect
1303. #121C23×C59semidirect
1304. #121C23×C59semidirect
1305. #121C23×C59semidirect
1306. #121C23×C59semidirect
1307. #121C23×C59semidirect
1308. #121C23×C59semidirect
1309. #121C23×C59semidirect
1310. #121C23×C59semidirect
1311. #121C23×C59semidirect
1312. #121C23×C59semidirect
1313. #121C23×C59semidirect
1314. #121C23×C59semidirect
1315. #121C23×C59semidirect
1316. #121C23×C59semidirect
1317. #121C23×C59semidirect
1318. #121C23×C59semidirect
1319. #121C23×C59semidirect
1320. #121C23×C59semidirect
1321. #121C23×C59semidirect
1322. #121C23×C59semidirect
1323. #121C23×C59semidirect
1324. #121C23×C59semidirect
1325. #121C23×C59semidirect
1326. #121C23×C59semidirect
1327. #121C23×C59semidirect
1328. #121C23×C59semidirect
1329. #121C23×C59semidirect
1330. #121C23×C59semidirect
1331. #121C23×C59semidirect
1332. #121C23×C59semidirect
1333. #121C23×C59semidirect
1334. #121C23×C59semidirect
1335. #121C23×C59semidirect
1336. #121C23×C59semidirect
1337. #121C23×C59semidirect
1350. #120C23×C59semidirect
1351. #120C23×C59semidirect
1352. #120C23×C59semidirect
1353. #120C23×C59semidirect
1354. #120C23×C59semidirect
1355. #120C23×C59semidirect
1356. #120C23×C59semidirect
1357. #120C23×C59semidirect
1358. #120C23×C59semidirect
1359. #120C23×C59semidirect
1360. #120C23×C59semidirect
1361. #120C23×C59semidirect
1362. #120C23×C59semidirect
1363. #120C23×C59semidirect
1364. #120C23×C59semidirect
1365. #120C23×C59semidirect
1366. C4×Q8C23×C59semidirect
1367. C4×Q8C23×C59semidirect
1368. C4×Q8C23×C59semidirect
1369. C4×Q8C23×C59semidirect
1370. C4×Q8C23×C59semidirect
1371. C4×Q8C23×C59semidirect
1372. C4×Q8C23×C59semidirect
1373. C4×Q8C23×C59semidirect
1391. C4×D4C23×C59semidirect
1392. C4×D4C23×C59semidirect
1393. C4×D4C23×C59semidirect
1394. C4×D4C23×C59semidirect
1395. C4×D4C23×C59semidirect
1396. C4×D4C23×C59semidirect
1397. C4×D4C23×C59semidirect
1398. C4×D4C23×C59semidirect
1399. C4×D4C23×C59semidirect
1400. C4×D4C23×C59semidirect
1401. C4×D4C23×C59semidirect
1402. C4×D4C23×C59semidirect
1403. C4×D4C23×C59semidirect
1404. C4×D4C23×C59semidirect
1405. C4×D4C23×C59semidirect
1406. C4×D4C23×C59semidirect
1407. C4×D4C23×C59semidirect
1408. C4×D4C23×C59semidirect
1409. C4×D4C23×C59semidirect
1410. C4×D4C23×C59semidirect
1411. C4×D4C23×C59semidirect
1412. C4×D4C23×C59semidirect
1413. C4×D4C23×C59semidirect
1414. C4×D4C23×C59semidirect
1415. C4×D4C23×C59semidirect
1416. C4×D4C23×C59semidirect
1417. C4×D4C23×C59semidirect
1418. C4×D4C23×C59semidirect
1419. C4×D4C23×C59semidirect
1424. #117C23×C59semidirect
1425. #117C23×C59semidirect
1426. #117C23×C59semidirect
1427. #117C23×C59semidirect
1428. #117C23×C59semidirect
1429. #117C23×C59semidirect
1430. #117C23×C59semidirect
1431. #117C23×C59semidirect
1432. #117C23×C59semidirect
1433. #117C23×C59semidirect
1434. #117C23×C59semidirect
1437. C2×C4⋊C4C23×C59semidirect
1438. C2×C4⋊C4C23×C59semidirect
1439. C2×C4⋊C4C23×C59semidirect
1440. C2×C4⋊C4C23×C59semidirect
1446. C2×C22⋊C4C23×C59semidirect
1447. C2×C22⋊C4C23×C59semidirect
1448. C2×C22⋊C4C23×C59semidirect
1449. C2×C22⋊C4C23×C59semidirect
1450. C2×C22⋊C4C23×C59semidirect
1451. C2×C22⋊C4C23×C59semidirect
1453. C2×C42C23×C59semidirect
1454. C2×C42C23×C59semidirect
1455. C2×C42C23×C59semidirect
1756. D4H(5,𝔽2)×C59semidirect
1783. C2×C4H(5,𝔽2)×C59semidirect

Maximal subgroups

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

subgroupindex
C59×#35582
C59×#35492
C59×#35462
C59×#35432
C59×#35422
C59×#35372
C59×#35322
C59×#35192
C59×#35142
C59×#35082
C59×#35062
C59×#34982
C59×#34962
C59×#34942
C59×#34882
C59×#34842
C59×#34752
D4×#41×C592
C2×D42×C592
C59×#34602
C2×C59×#5352
#6291259