Finite Group Databasebeta

← C41×#62830 #23839031

Subgroups — C41×#62830 #23839031

Order 10496.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3562C214yesmaximal, complemented
2C41×#3560C214yesmaximal, complemented
3C41×#3552C212yesmaximal, complemented
4C41×#3551C214yesmaximal, complemented
5C41×#3547C212yesmaximal, complemented
6C41×#3546C212yesmaximal, complemented
7C41×#3543C212yesmaximal, complemented
8C41×#3534C214yesmaximal, complemented
9C41×#3520C212yesmaximal, complemented
10C41×#3519C214yesmaximal, complemented
11C41×#3519C212yesmaximal, complemented
12C41×#3517C212yesmaximal, complemented
13C41×#3514C214yesmaximal, complemented
14C41×#3514C212yesmaximal, complemented
15C41×#3512C212yesmaximal, complemented
16C41×#3507C211yesmaximal, characteristic, complemented
17C41×#3506C211yesmaximal, characteristic, complemented
18C41×#3505C214yesmaximal, complemented
19C41×#3500C212yesmaximal, complemented
20C41×#3497C211yesmaximal, characteristic, complemented
21C41×#3496C211yesmaximal, characteristic, complemented
22C41×#3494C214yesmaximal, complemented
23C41×#3489C212yesmaximal, complemented
24C41×#3488C212yesmaximal, complemented
25C41×#3444C211yesmaximal, characteristic, complemented
26C2×C41×#532C211yesmaximal, characteristic, complemented
27C2×C41×#529C211yesmaximal, characteristic, complemented
28C2×2−1+4×C41C2212yescomplemented
29C2×H(5,𝔽2)×C41C2212yescomplemented
30C22×#41×C41C2212yescomplemented
31C41×#563C2218yescomplemented
32C41×#562C2218yescomplemented
33C41×#560C2218yescomplemented
34C41×#560C2218yescomplemented
35C41×#559C2214yescomplemented
36C41×#559C2212yescomplemented
37C41×#557C2212yescomplemented
38C41×#556C2212yescomplemented
39C41×#556C2214yescomplemented
40C41×#556C2212yescomplemented
41C41×#555C2218yescomplemented
42C41×#555C2212yescomplemented
43C41×#555C2214yescomplemented
44C41×#554C2214yescomplemented
45C41×#554C2212yescomplemented
46C41×#553C2214yescomplemented
47C41×#553C2214yescomplemented
48C41×#553C2214yescomplemented
49C41×#553C2218yescomplemented
50C41×#553C2218yescomplemented
51C41×#553C2218yescomplemented
52C41×#553C2218yescomplemented
53C41×#553C2214yescomplemented
54C41×#553C2214yescomplemented
55C41×#552C2214yescomplemented
56C41×#552C2214yescomplemented
57C41×#552C2214yescomplemented
58C41×#551C2218yescomplemented
59C41×#551C2218yescomplemented
60C41×#551C2218yescomplemented
61C41×#551C2218yescomplemented
62C41×#550C2214yescomplemented
63C41×#550C2212yescomplemented
64C41×#550C2212yescomplemented
65C41×#550C2212yescomplemented
66C41×#550C2214yescomplemented
67D4×Q8×C41C2214yescomplemented
68D4×Q8×C41C2212yescomplemented
69D4×Q8×C41C2212yescomplemented
70C41×#548C2214yescomplemented
71C41×#548C2214yescomplemented
72C41×#548C2214yescomplemented
73C41×#548C2214yescomplemented
74C41×#548C2214yescomplemented
75C41×#548C2214yescomplemented
76C41×#547C2212yescomplemented
77C41×#547C2218yescomplemented
78C41×#547C2214yescomplemented
79C41×#547C2212yescomplemented
80C41×#547C2212yescomplemented
81C41×#546C2214yescomplemented
82C41×#546C2214yescomplemented
83C41×#546C2218yescomplemented
84C41×#546C2218yescomplemented
85C41×#546C2214yescomplemented
86C41×#546C2214yescomplemented
87C41×#546C2214yescomplemented
88C41×#546C2218yescomplemented
89C41×#546C2218yescomplemented
90C41×#546C2214yescomplemented
91C41×#546C2218yescomplemented
92C41×#546C2214yescomplemented
93C41×#546C2214yescomplemented
94D42×C41C2214yescomplemented
95D42×C41C2218yescomplemented
96D42×C41C2212yescomplemented
97D42×C41C2212yescomplemented
98D42×C41C2214yescomplemented
99C41×#544C2214yescomplemented
100C41×#542C2214yescomplemented
101C41×#542C2218yescomplemented
102C41×#542C2214yescomplemented
103C41×#541C2214yescomplemented
104C41×#540C2218yescomplemented
105C41×#540C2218yescomplemented
106C41×#540C2214yescomplemented
107C41×#540C2214yescomplemented
108C41×#540C2214yescomplemented
109C41×#539C2218yescomplemented
110C41×#539C2218yescomplemented
111C41×#539C2214yescomplemented
112C41×#538C2218yescomplemented
113C41×#538C2218yescomplemented
114C41×#538C2218yescomplemented
115C41×#538C2214yescomplemented
116C41×#538C2218yescomplemented
117C41×#538C2218yescomplemented
118C41×#537C2214yescomplemented
119C41×#537C2214yescomplemented
120C41×#537C2214yescomplemented
121C41×#537C2212yescomplemented
122C41×#537C2212yescomplemented
123C41×#536C2214yescomplemented
124C41×#536C2214yescomplemented
125C41×#536C2212yescomplemented
126C41×#535C2214yescomplemented
127C41×#535C2214yescomplemented
128C41×#535C2212yescomplemented
129C41×#535C2214yescomplemented
130C41×#534C2214yescomplemented
131C41×#534C2218yescomplemented
132C41×#533C2211yescharacteristic, complemented
133C41×#533C2211yescharacteristic, complemented
134C41×#533C2211yescharacteristic, complemented
135C41×#532C2211yescharacteristic
136C41×#532C2212yescomplemented
137C41×#532C2212yescomplemented
138C41×#532C2212yescomplemented
139C41×#532C2212yescomplemented
140C41×#532C2211yescharacteristic, complemented
141C41×#532C2212yescomplemented
142C41×#532C2211yescharacteristic, complemented
143C41×#532C2211yescharacteristic, complemented
144C41×#532C2212yescomplemented
145C41×#532C2211yescharacteristic, complemented
146C41×#532C2211yescharacteristic, complemented
147C41×#532C2211yescharacteristic, complemented
148C41×#532C2214yescomplemented
149C41×#532C2214yescomplemented
150C2×C4⋊Q8×C41C2211yescharacteristic, complemented
151C2×#127×C41C2211yescharacteristic, complemented
152C41×#529C2212yescomplemented
153C41×#529C2212yescomplemented
154C41×#529C2212yescomplemented
155C41×#529C2212yescomplemented
156C41×#529C2212yescomplemented
157C41×#529C2212yescomplemented
158C41×#529C2212yescomplemented
159C41×#529C2212yescomplemented
160C41×#529C2212yescomplemented
161C41×#529C2212yescomplemented
162C41×#529C2212yescomplemented
163C41×#529C2212yescomplemented
164C41×#529C2212yescomplemented
165C41×#529C2212yescomplemented
166C41×#529C2214yescomplemented
167C41×#529C2214yescomplemented
168C41×#529C2214yescomplemented
169C2×#126×C41C2212yescomplemented
170C2×#125×C41C2211yescharacteristic, complemented
171C2×#124×C41C2211yescharacteristic, complemented
172C2×#124×C41C2212yescomplemented
173C2×#124×C41C2214yescomplemented
174C41×#525C2212yescomplemented
175C41×#525C2212yescomplemented
176C41×#525C2212yescomplemented
177C41×#525C2214yescomplemented
178C41×#525C2214yescomplemented
179C41×#525C2214yescomplemented
180C2×#123×C41C2212yescomplemented
181C2×C22⋊Q8×C41C2211yescharacteristic, complemented
182C2×C22⋊Q8×C41C2214yescomplemented
183C2×#121×C41C2211yescharacteristic
184C2×#121×C41C2212yescomplemented
185C2×#121×C41C2212yescomplemented
186C2×#121×C41C2214yescomplemented
187C2×#121×C41C2214yescomplemented
188C41×#520C2212yescomplemented
189C41×#520C2212yescomplemented
190C41×#520C2214yescomplemented
191C41×#518C2214yescomplemented
192C41×#518C2218yescomplemented
193C4×#41×C41C2212yescomplemented
194C4×#41×C41C2212yescomplemented
195C4×#41×C41C2212yescomplemented
196C2×C4×Q8×C41C2211yescharacteristic, complemented
197C2×C4×D4×C41C2211yescharacteristic, complemented
198C2×C4×D4×C41C2212yescomplemented
199C2×C4×D4×C41C2212yescomplemented
200C2×C4×D4×C41C2212yescomplemented
201C2×#117×C41C2212yescomplemented
202C22×C42×C41C2211yescharacteristic, complemented
2032−1+4×C41—48no—
204H(5,𝔽2)×C41—48no—
205C2×#41×C41—48no—
206C2×#41×C41C2312yes—
207C2×#41×C41C2312yes—
208C2×#41×C41C2312yes—
209C2×#41×C41C2312yes—
210C2×#41×C41C2312yes—
211C2×#41×C41C2314yes—
212C2×#41×C41C2314yes—
213C2×#41×C41C2314yes—
214C2×#41×C41C2314yes—
215C2×#41×C41C2314yes—
216C2×#41×C41C2312yes—
217C2×#41×C41C2312yes—
218C2×#41×C41C2314yes—
219C2×#41×C41C2314yes—
220C2×#41×C41C2318yes—
221C22×Q8×C41C2311yescharacteristic
222C22×Q8×C41C2314yes—
223C22×Q8×C41C2312yes—
224C22×Q8×C41C2314yes—
225C22×D4×C41C2311yescharacteristic
226C22×D4×C41C2312yes—
227C22×D4×C41C2312yes—
228C22×D4×C41C2312yes—
229C22×D4×C41C2318yes—
230C22×D4×C41C2314yes—
231C22×D4×C41C2314yes—
232C22×D4×C41C2318yes—
233C22×D4×C41C2314yes—
234C22×D4×C41C2312yes—
235C22×D4×C41C2314yes—
236C23×C4×C41C2311yescharacteristic
237C23×C4×C41C2311yescharacteristic
238C23×C4×C41C2311yescharacteristic
239C23×C4×C41C2312yes—
240C23×C4×C41C2314yes—
241C4⋊Q8×C41C2311yescharacteristic
242C4⋊Q8×C41C2312yes—
243C4⋊Q8×C41C2312yes—
244C4⋊Q8×C41C2311yescharacteristic
245C4⋊Q8×C41C2312yes—
246C4⋊Q8×C41C2311yescharacteristic
247C4⋊Q8×C41C2311yescharacteristic
248C4⋊Q8×C41C2311yescharacteristic
249C4⋊Q8×C41C2314yes—
250C4⋊Q8×C41C2314yes—
251C4⋊Q8×C41C2318yes—
252#127×C41C2311yescharacteristic
253#127×C41C2312yes—
254#127×C41C2312yes—
255#127×C41C2311yescharacteristic
256#127×C41C2312yes—
257#127×C41C2311yescharacteristic
258#127×C41C2314yes—
259#127×C41C2314yes—
260#127×C41C2318yes—
261#126×C41C2314yes—
262#126×C41C2314yes—
263#126×C41C2314yes—
264#126×C41C2314yes—
265#126×C41C2314yes—
266#126×C41C2314yes—
267#126×C41C2318yes—
268#126×C41C2318yes—
269#126×C41C2318yes—
270#126×C41C2318yes—
271#126×C41C2318yes—
272#126×C41C2318yes—
273#126×C41C2318yes—
274#125×C41C2312yes—
275#125×C41C2312yes—
276#125×C41C2312yes—
277#125×C41C2312yes—
278#125×C41C2312yes—
279#125×C41C2312yes—
280#125×C41C2312yes—
281#125×C41C2314yes—
282#125×C41C2318yes—
283#125×C41C2318yes—
284#125×C41C2318yes—
285#124×C41C2312yes—
286#124×C41C2312yes—
287#124×C41C2312yes—
288#124×C41C2312yes—
289#124×C41C2312yes—
290#124×C41C2312yes—
291#124×C41C2312yes—
292#124×C41C2314yes—
293#124×C41C2312yes—
294#124×C41C2314yes—
295#124×C41C2314yes—
296#124×C41C2314yes—
297#124×C41C2318yes—
298#124×C41C2318yes—
299#124×C41C2312yes—
300#124×C41C2312yes—
301#124×C41C2312yes—
302#124×C41C2314yes—
303#124×C41C2318yes—
304#124×C41C2318yes—
305#124×C41C2318yes—
306#124×C41C2318yes—
307#123×C41C2314yes—
308#123×C41C2314yes—
309#123×C41C2314yes—
310#123×C41C2314yes—
311#123×C41C2314yes—
312#123×C41C2314yes—
313#123×C41C2314yes—
314#123×C41C2318yes—
315#123×C41C2318yes—
316#123×C41C2318yes—
317#123×C41C2318yes—
318#123×C41C2318yes—
319#123×C41C2318yes—
320#123×C41C2318yes—
321#123×C41C2318yes—
322#123×C41C2318yes—
323#123×C41C2318yes—
324#123×C41C2318yes—
325#123×C41C2318yes—
326#123×C41C2318yes—
327#123×C41C2318yes—
328#123×C41C2318yes—
329#123×C41C2318yes—
330C22⋊Q8×C41C2312yes—
331C22⋊Q8×C41C2312yes—
332C22⋊Q8×C41C2312yes—
333C22⋊Q8×C41C2312yes—
334C22⋊Q8×C41C2312yes—
335C22⋊Q8×C41C2314yes—
336C22⋊Q8×C41C2314yes—
337C22⋊Q8×C41C2318yes—
338C22⋊Q8×C41C2318yes—
339C22⋊Q8×C41C2312yes—
340C22⋊Q8×C41C2312yes—
341C22⋊Q8×C41C2312yes—
342C22⋊Q8×C41C2312yes—
343C22⋊Q8×C41C2312yes—
344C22⋊Q8×C41C2314yes—
345C22⋊Q8×C41C2314yes—
346C22⋊Q8×C41C2314yes—
347C22⋊Q8×C41C2314yes—
348C22⋊Q8×C41C2314yes—
349C22⋊Q8×C41C2318yes—
350C22⋊Q8×C41C2318yes—
351C22⋊Q8×C41C2318yes—
352C22⋊Q8×C41C2318yes—
353C22⋊Q8×C41C2318yes—
354C22⋊Q8×C41C2318yes—
355C22⋊Q8×C41C2318yes—
356#121×C41C2312yes—
357#121×C41C2312yes—
358#121×C41C2312yes—
359#121×C41C2312yes—
360#121×C41C2312yes—
361#121×C41C2312yes—
362#121×C41C2312yes—
363#121×C41C2312yes—
364#121×C41C2312yes—
365#121×C41C2312yes—
366#121×C41C2312yes—
367#121×C41C2314yes—
368#121×C41C2312yes—
369#121×C41C2314yes—
370#121×C41C2314yes—
371#121×C41C2312yes—
372#121×C41C2312yes—
373#121×C41C2314yes—
374#121×C41C2318yes—
375#121×C41C2314yes—
376#121×C41C2314yes—
377#121×C41C2318yes—
378#121×C41C2318yes—
379#121×C41C2318yes—
380#121×C41C2314yes—
381#121×C41C2314yes—
382#121×C41C2312yes—
383#121×C41C2312yes—
384#121×C41C2312yes—
385#121×C41C2312yes—
386#121×C41C2314yes—
387#121×C41C2314yes—
388#121×C41C2314yes—
389#121×C41C2314yes—
390#121×C41C2314yes—
391#121×C41C2318yes—
392#121×C41C2318yes—
393#121×C41C2318yes—
394#121×C41C2318yes—
395#121×C41C2318yes—
396#121×C41C2318yes—
397#121×C41C2318yes—
398#121×C41C2318yes—
399#121×C41C2318yes—
400#121×C41C2318yes—
401#121×C41C2318yes—
402#121×C41C2318yes—
403#121×C41C2318yes—
404#121×C41C2318yes—
405#121×C41C2318yes—
406#121×C41C2318yes—
407#120×C41C2314yes—
408#120×C41C2318yes—
409#120×C41C2318yes—
410#120×C41C2318yes—
411#120×C41C2318yes—
412#120×C41C2318yes—
413#120×C41C2318yes—
414#120×C41C2318yes—
415#120×C41C2318yes—
416#120×C41C2318yes—
417C4×Q8×C41C2312yes—
418C4×Q8×C41C2312yes—
419C4×Q8×C41C2312yes—
420C4×Q8×C41C2312yes—
421C4×Q8×C41C2312yes—
422C4×Q8×C41C2312yes—
423C4×Q8×C41C2312yes—
424C4×Q8×C41C2312yes—
425C4×Q8×C41C2312yes—
426C4×Q8×C41C2312yes—
427C4×Q8×C41C2314yes—
428C4×Q8×C41C2314yes—
429C4×Q8×C41C2314yes—
430C4×D4×C41C2314yes—
431C4×D4×C41C2312yes—
432C4×D4×C41C2312yes—
433C4×D4×C41C2314yes—
434C4×D4×C41C2314yes—
435C4×D4×C41C2312yes—
436C4×D4×C41C2312yes—
437C4×D4×C41C2312yes—
438C4×D4×C41C2312yes—
439C4×D4×C41C2314yes—
440C4×D4×C41C2312yes—
441C4×D4×C41C2312yes—
442C4×D4×C41C2314yes—
443C4×D4×C41C2314yes—
444C4×D4×C41C2314yes—
445C4×D4×C41C2312yes—
446C4×D4×C41C2312yes—
447C4×D4×C41C2312yes—
448C4×D4×C41C2314yes—
449C4×D4×C41C2312yes—
450C4×D4×C41C2314yes—
451C4×D4×C41C2312yes—
452C4×D4×C41C2314yes—
453C4×D4×C41C2314yes—
454C4×D4×C41C2314yes—
455C4×D4×C41C2314yes—
456C4×D4×C41C2314yes—
457C4×D4×C41C2312yes—
458C4×D4×C41C2312yes—
459C4×D4×C41C2312yes—
460C4×D4×C41C2312yes—
461C4×D4×C41C2312yes—
462C4×D4×C41C2318yes—
463C4×D4×C41C2318yes—
464C4×D4×C41C2318yes—
465C4×D4×C41C2318yes—
466C4×D4×C41C2318yes—
467C4×D4×C41C2318yes—
468C4×D4×C41C2314yes—
469C4×D4×C41C2318yes—
470C4×D4×C41C2318yes—
471C4×D4×C41C2314yes—
472C4×D4×C41C2318yes—
473C4×D4×C41C2318yes—
474C4×D4×C41C2318yes—
475C4×D4×C41C2314yes—
476C4×D4×C41C2314yes—
477C4×D4×C41C2318yes—
478C4×D4×C41C2314yes—
479#117×C41C2314yes—
480#117×C41C2314yes—
481#117×C41C2314yes—
482#117×C41C2314yes—
483#117×C41C2312yes—
484#117×C41C2312yes—
485#117×C41C2312yes—
486#117×C41C2314yes—
487#117×C41C2314yes—
488#117×C41C2314yes—
489#117×C41C2314yes—
490#117×C41C2318yes—
491#117×C41C2318yes—
492#117×C41C2314yes—
493#117×C41C2314yes—
494#117×C41C2318yes—
495C2×C4⋊C4×C41C2312yes—
496C2×C4⋊C4×C41C2312yes—
497C2×C4⋊C4×C41C2311yescharacteristic
498C2×C4⋊C4×C41C2312yes—
499C2×C4⋊C4×C41C2312yes—
500C2×C4⋊C4×C41C2312yes—
501C2×C4⋊C4×C41C2311yescharacteristic
502C2×C4⋊C4×C41C2312yes—
503C2×C4⋊C4×C41C2314yes—
504C2×C4⋊C4×C41C2314yes—
505C2×C4⋊C4×C41C2314yes—
506C2×C4⋊C4×C41C2318yes—
507C2×C22⋊C4×C41C2312yes—
508C2×C22⋊C4×C41C2312yes—
509C2×C22⋊C4×C41C2314yes—
510C2×C22⋊C4×C41C2314yes—
511C2×C22⋊C4×C41C2312yes—
512C2×C22⋊C4×C41C2312yes—
513C2×C22⋊C4×C41C2312yes—
514C2×C22⋊C4×C41C2318yes—
515C2×C22⋊C4×C41C2318yes—
516C2×C22⋊C4×C41C2318yes—
517C2×C22⋊C4×C41C2318yes—
518C2×C22⋊C4×C41C2318yes—
519C2×C42×C41C2311yescharacteristic
520C2×C42×C41C2311yescharacteristic
521C2×C42×C41C2311yescharacteristic
522C2×C42×C41C2311yescharacteristic
523C2×C42×C41C2311yescharacteristic
524C2×C42×C41C2311yescharacteristic
525C2×C42×C41C2311yescharacteristic
526C2×C42×C41C2311yescharacteristic
527C2×C42×C41C2311yescharacteristic
528C2×C42×C41C2311yescharacteristic
529C2×C42×C41C2311yescharacteristic
530C2×C42×C41C2311yescharacteristic
531C2×C42×C41C2312yes—
532C2×C42×C41C2314yes—
533C24×C41C2411yescharacteristic
534C24×C41C2412yes—
535C24×C41C2414yes—
536C24×C41C2418yes—
537#41×C41—28no—
538#41×C41—28no—
539#41×C41—28no—
540#41×C41—48no—
541#41×C41—48no—
542#41×C41—44no—
543#41×C41—416no—
544#41×C41—44no—
545#41×C41—44no—
546#41×C41—48no—
547#41×C41—44no—
548#41×C41—48no—
549#41×C41—48no—
550#41×C41—48no—
551#41×C41—48no—
552C2×Q8×C41—24no—
553C2×Q8×C41—44no—
554C2×Q8×C41—48no—
555C2×Q8×C41—48no—
556C2×Q8×C41C2412yes—
557C2×Q8×C41C2412yes—
558C2×Q8×C41C2412yes—
559C2×Q8×C41C2412yes—
560C2×Q8×C41C2412yes—
561C2×Q8×C41C2412yes—
562C2×Q8×C41C2412yes—
563C2×Q8×C41C2418yes—
564C2×Q8×C41C2414yes—
565C2×D4×C41—24no—
566C2×D4×C41—44no—
567C2×D4×C41—48no—
568C2×D4×C41—44no—
569C2×D4×C41—48no—
570C2×D4×C41—48no—
571C2×D4×C41—44no—
572C2×D4×C41—44no—
573C2×D4×C41—416no—
574C2×D4×C41—48no—
575C2×D4×C41—416no—
576C2×D4×C41C2414yes—
577C2×D4×C41C2414yes—
578C2×D4×C41C2412yes—
579C2×D4×C41C2412yes—
580C2×D4×C41C2412yes—
581C2×D4×C41C2414yes—
582C2×D4×C41C2414yes—
583C2×D4×C41C2414yes—
584C2×D4×C41C2412yes—
585C2×D4×C41C2412yes—
586C2×D4×C41C2412yes—
587C2×D4×C41C2412yes—
588C2×D4×C41C2412yes—
589C2×D4×C41C2412yes—
590C2×D4×C41C2418yes—
591C2×D4×C41C2412yes—
592C2×D4×C41C2418yes—
593C2×D4×C41C2414yes—
594C2×D4×C41C2418yes—
595C2×D4×C41C2414yes—
596C2×D4×C41C2414yes—
597C2×D4×C41C2414yes—
598C2×D4×C41C2418yes—
599C2×D4×C41C2412yes—
600C2×D4×C41C2418yes—
601C2×D4×C41C2414yes—
602C2×D4×C41C2418yes—
603C2×D4×C41C2414yes—
604C2×D4×C41C2418yes—
605C2×D4×C41C2414yes—
606C22×C4×C41—24no—
607C22×C4×C41—42no—
608C22×C4×C41—44no—
609C22×C4×C41—48no—
610C22×C4×C41—42no—
611C22×C4×C41C2411yescharacteristic
612C22×C4×C41C2411yescharacteristic
613C22×C4×C41C2411yescharacteristic
614C22×C4×C41C2411yescharacteristic
615C22×C4×C41C2411yescharacteristic
616C22×C4×C41C2411yescharacteristic
617C22×C4×C41C2411yescharacteristic
618C22×C4×C41C2411yescharacteristic
619C22×C4×C41C2411yescharacteristic
620C22×C4×C41C2411yescharacteristic
621C22×C4×C41C2412yes—
622C22×C4×C41C2414yes—
623C22×C4×C41C2414yes—
624C22×C4×C41C2414yes—
625C22×C4×C41C2414yes—
626C22×C4×C41C2411yescharacteristic
627C22×C4×C41C2411yescharacteristic
628C22×C4×C41C2411yescharacteristic
629C22×C4×C41C2411yescharacteristic
630C22×C4×C41C2411yescharacteristic
631C22×C4×C41C2411yescharacteristic
632C22×C4×C41C2411yescharacteristic
633C22×C4×C41C2414yes—
634C22×C4×C41C2414yes—
635C22×C4×C41C2412yes—
636C22×C4×C41C2412yes—
637C22×C4×C41C2414yes—
638C22×C4×C41C2414yes—
639C22×C4×C41C2414yes—
640C22×C4×C41C2418yes—
641C22×C4×C41C2418yes—
642C22×C4×C41C2418yes—
643C22×C4×C41C2418yes—
644C22×C4×C41C2418yes—
645C22×C4×C41C2414yes—
646C22×C4×C41C2411yescharacteristic
647C4⋊C4×C41C2412yes—
648C4⋊C4×C41C2414yes—
649C4⋊C4×C41C2412yes—
650C4⋊C4×C41C2412yes—
651C4⋊C4×C41C2412yes—
652C4⋊C4×C41C2412yes—
653C4⋊C4×C41C2412yes—
654C4⋊C4×C41C2414yes—
655C4⋊C4×C41C2418yes—
656C4⋊C4×C41C2414yes—
657C4⋊C4×C41C2412yes—
658C4⋊C4×C41C2414yes—
659C4⋊C4×C41C2414yes—
660C4⋊C4×C41C2414yes—
661C4⋊C4×C41C2412yes—
662C4⋊C4×C41C2412yes—
663C4⋊C4×C41C2412yes—
664C4⋊C4×C41C2414yes—
665C4⋊C4×C41C2414yes—
666C4⋊C4×C41C2412yes—
667C4⋊C4×C41C2414yes—
668C4⋊C4×C41C2418yes—
669C4⋊C4×C41C2418yes—
670C4⋊C4×C41C2418yes—
671C4⋊C4×C41C2414yes—
672C4⋊C4×C41C2414yes—
673C4⋊C4×C41C2412yes—
674C4⋊C4×C41C2414yes—
675C4⋊C4×C41C2418yes—
676C4⋊C4×C41C2418yes—
677C4⋊C4×C41C2414yes—
678C4⋊C4×C41C2414yes—
679C4⋊C4×C41C2414yes—
680C4⋊C4×C41C2414yes—
681C4⋊C4×C41C2412yes—
682C4⋊C4×C41C2412yes—
683C22⋊C4×C41C2414yes—
684C22⋊C4×C41C2414yes—
685C22⋊C4×C41C2414yes—
686C22⋊C4×C41C2414yes—
687C22⋊C4×C41C2414yes—
688C22⋊C4×C41C2414yes—
689C22⋊C4×C41C2414yes—
690C22⋊C4×C41C2414yes—
691C22⋊C4×C41C2414yes—
692C22⋊C4×C41C2414yes—
693C22⋊C4×C41C2418yes—
694C22⋊C4×C41C2418yes—
695C22⋊C4×C41C2418yes—
696C22⋊C4×C41C2414yes—
697C22⋊C4×C41C2414yes—
698C22⋊C4×C41C2414yes—
699C22⋊C4×C41C2414yes—
700C22⋊C4×C41C2414yes—
701C22⋊C4×C41C2414yes—
702C22⋊C4×C41C2414yes—
703C22⋊C4×C41C2414yes—
704C22⋊C4×C41C2418yes—
705C22⋊C4×C41C2418yes—
706C22⋊C4×C41C2414yes—
707C22⋊C4×C41C2418yes—
708C22⋊C4×C41C2418yes—
709C22⋊C4×C41C2414yes—
710C22⋊C4×C41C2414yes—
711C22⋊C4×C41C2414yes—
712C22⋊C4×C41C2418yes—
713C22⋊C4×C41C2414yes—
714C22⋊C4×C41C2414yes—
715C22⋊C4×C41C2414yes—
716C22⋊C4×C41C2414yes—
717C22⋊C4×C41C2418yes—
718C22⋊C4×C41C2414yes—
719C22⋊C4×C41C2418yes—
720C42×C41C2411yescharacteristic
721C42×C41C2411yescharacteristic
722C42×C41C2411yescharacteristic
723C42×C41C2411yescharacteristic
724C42×C41C2411yescharacteristic
725C42×C41C2411yescharacteristic
726C42×C41C2411yescharacteristic
727C42×C41C2411yescharacteristic
728C42×C41C2411yescharacteristic
729C42×C41C2411yescharacteristic
730C42×C41C2411yescharacteristic
731C42×C41C2411yescharacteristic
732C42×C41C2411yescharacteristic
733C42×C41C2411yescharacteristic
734C42×C41C2411yescharacteristic
735C42×C41C2411yescharacteristic
736C42×C41C2414yes—
737C42×C41C2414yes—
738C42×C41C2414yes—
739C42×C41C2414yes—
740C42×C41C2414yes—
741C42×C41C2418yes—
742C42×C41C2418yes—
743C23×C41—22no—
744C23×C41—22no—
745C23×C41—24no—
746C23×C41—28no—
747C23×C41—41no—
748C23×C41—44no—
749C23×C41—42no—
750C23×C41—44no—
751C23×C41—42no—
752C23×C41—48no—
753C23×C41—48no—
754C23×C41—48no—
755C23×C41C2514yes—
756C23×C41C2514yes—
757C23×C41C2514yes—
758C23×C41C2511yescharacteristic
759C23×C41C2514yes—
760C23×C41C2511yescharacteristic
761C23×C41C2511yescharacteristic
762Q8×C41—24no—
763Q8×C41—24no—
764Q8×C41—24no—
765Q8×C41—24no—
766Q8×C41—24no—
767Q8×C41—24no—
768Q8×C41—48no—
769Q8×C41—44no—
770Q8×C41—42no—
771D4×C41—28no—
772D4×C41—28no—
773D4×C41—28no—
774D4×C41—28no—
775D4×C41—28no—
776D4×C41—24no—
777D4×C41—24no—
778D4×C41—24no—
779D4×C41—24no—
780D4×C41—24no—
781D4×C41—24no—
782D4×C41—24no—
783D4×C41—24no—
784D4×C41—48no—
785D4×C41—48no—
786D4×C41—48no—
787D4×C41—44no—
788D4×C41—42no—
789D4×C41—44no—
790D4×C41—42no—
791D4×C41—44no—
792D4×C41—48no—
793D4×C41—48no—
794D4×C41—44no—
795D4×C41—44no—
796D4×C41—44no—
797D4×C41—42no—
798D4×C41—44no—
799D4×C41—48no—
800D4×C41—48no—
801C2×C4×C41—22no—
802C2×C4×C41—24no—
803C2×C4×C41—22no—
804C2×C4×C41—22no—
805C2×C4×C41—22no—
806C2×C4×C41—22no—
807C2×C4×C41—22no—
808C2×C4×C41—22no—
809C2×C4×C41—28no—
810C2×C4×C41—28no—
811C2×C4×C41—28no—
812C2×C4×C41—22no—
813C2×C4×C41—22no—
814C2×C4×C41—28no—
815C2×C4×C41—22no—
816C2×C4×C41—41no—
817C2×C4×C41—44no—
818C2×C4×C41—41no—
819C2×C4×C41—41no—
820C2×C4×C41—41no—
821C2×C4×C41—41no—
822C2×C4×C41—42no—
823C2×C4×C41—41no—
824C2×C4×C41—41no—
825C2×C4×C41—44no—
826C2×C4×C41—44no—
827C2×C4×C41—44no—
828C2×C4×C41—42no—
829C2×C4×C41—48no—
830C2×C4×C41—48no—
831C2×C4×C41—48no—
832C2×C4×C41—48no—
833C2×C4×C41—44no—
834C2×C4×C41—44no—
835C2×C4×C41—48no—
836C2×C4×C41H(5,𝔽2)14yes—
837C2×C4×C41C2511yescharacteristic
838C2×C4×C41C2511yescharacteristic
839C2×C4×C41C2511yescharacteristic
840C2×C4×C41C2511yescharacteristic
841C2×C4×C41C2514yes—
842C2×C4×C41C2514yes—
843C2×C4×C41C2511yescharacteristic
844C2×C4×C41C2511yescharacteristic
845C2×C4×C41C2511yescharacteristic
846C2×C4×C41C2514yes—
847C2×C4×C41C2511yescharacteristic
848C2×C4×C41C2511yescharacteristic
849C2×C4×C41C2514yes—
850C2×C4×C41C2514yes—
851C2×C4×C41C2514yes—
852C2×C4×C41C2514yes—
853C2×C4×C41C2514yes—
854C2×C4×C41C2511yescharacteristic
855C2×C4×C41C2511yescharacteristic
856C2×C4×C41C2511yescharacteristic
857#62830C4111yesmaximal, characteristic, direct product factor, Sylow
858C22×C41—21no—
859C22×C41—21no—
860C22×C41—21no—
861C22×C41—21no—
862C22×C41—21no—
863C22×C41—24no—
864C22×C41—24no—
865C22×C41—24no—
866C22×C41—24no—
867C22×C41—21no—
868C22×C41—24no—
869C22×C41—24no—
870C22×C41—21no—
871C22×C41—24no—
872C22×C41—24no—
873C22×C41—24no—
874C22×C41—24no—
875C22×C41—24no—
876C22×C41—24no—
877C22×C41—44no—
878C22×C41—88no—
879C22×C41—84no—
880C22×C41—168no—
881C22×C41C2×H(5,𝔽2)12yes—
882C22×C41#58512yes—
883C22×C41C2611yescharacteristic
884C4×C41—21no—
885C4×C41—21no—
886C4×C41—24no—
887C4×C41—24no—
888C4×C41—24no—
889C4×C41—24no—
890C4×C41—21no—
891C4×C41—21no—
892C4×C41—21no—
893C4×C41—24no—
894C4×C41—21no—
895C4×C41—21no—
896C4×C41—21no—
897C4×C41—21no—
898C4×C41—24no—
899C4×C41—24no—
900C4×C41—24no—
901C4×C41C2×H(5,𝔽2)12yes—
902C4×C41C2×H(5,𝔽2)12yes—
903C4×C41#58512yes—
904#3562C2×C4114yescomplemented
905#3560C2×C4114yescomplemented
906#3552C2×C4112yescomplemented
907#3551C2×C4114yescomplemented
908#3547C2×C4112yescomplemented
909#3546C2×C4112yescomplemented
910#3543C2×C4112yescomplemented
911#3534C2×C4114yescomplemented
912#3520C2×C4112yescomplemented
913#3519C2×C4114yescomplemented
914#3519C2×C4112yescomplemented
915#3517C2×C4112yescomplemented
916#3514C2×C4114yescomplemented
917#3514C2×C4112yescomplemented
918#3512C2×C4112yescomplemented
919#3507C2×C4111yescharacteristic, complemented
920#3506C2×C4111yescharacteristic, complemented
921#3505C2×C4114yescomplemented
922#3500C2×C4112yescomplemented
923#3497C2×C4111yescharacteristic, complemented
924#3496C2×C4111yescharacteristic, complemented
925#3494C2×C4114yescomplemented
926#3489C2×C4112yescomplemented
927#3488C2×C4112yescomplemented
928#3444C2×C4111yescharacteristic, complemented
929C2×#532C2×C4111yescharacteristic, complemented
930C2×#529C2×C4111yescharacteristic, complemented
931C2×C41—22no—
932C2×C41—22no—
933C2×C41—41no—
934C2×C41—44no—
935C2×C41—44no—
936C2×C41—44no—
937C2×C41—44no—
938C2×C41C22×H(5,𝔽2)11yescharacteristic
939C2×C41C2×#58511yescharacteristic
940C2×C41C2×#58511yescharacteristic
941C2×2−1+4C22×C4112yescomplemented
942C2×H(5,𝔽2)C22×C4112yescomplemented
943C22×#41C22×C4112yescomplemented
944#563C22×C4118yescomplemented
945#562C22×C4118yescomplemented
946#560C22×C4118yescomplemented
947#560C22×C4118yescomplemented
948#559C22×C4114yescomplemented
949#559C22×C4112yescomplemented
950#557C22×C4112yescomplemented
951#556C22×C4112yescomplemented
952#556C22×C4114yescomplemented
953#556C22×C4112yescomplemented
954#555C22×C4118yescomplemented
955#555C22×C4112yescomplemented
956#555C22×C4114yescomplemented
957#554C22×C4112yescomplemented
958#554C22×C4114yescomplemented
959#553C22×C4118yescomplemented
960#553C22×C4118yescomplemented
961#553C22×C4114yescomplemented
962#553C22×C4114yescomplemented
963#553C22×C4118yescomplemented
964#553C22×C4114yescomplemented
965#553C22×C4118yescomplemented
966#553C22×C4114yescomplemented
967#553C22×C4114yescomplemented
968#552C22×C4114yescomplemented
969#552C22×C4114yescomplemented
970#552C22×C4114yescomplemented
971#551C22×C4118yescomplemented
972#551C22×C4118yescomplemented
973#551C22×C4118yescomplemented
974#551C22×C4118yescomplemented
975#550C22×C4114yescomplemented
976#550C22×C4112yescomplemented
977#550C22×C4112yescomplemented
978#550C22×C4112yescomplemented
979#550C22×C4114yescomplemented
980D4×Q8C22×C4114yescomplemented
981D4×Q8C22×C4112yescomplemented
982D4×Q8C22×C4112yescomplemented
983#548C22×C4114yescomplemented
984#548C22×C4114yescomplemented
985#548C22×C4114yescomplemented
986#548C22×C4114yescomplemented
987#548C22×C4114yescomplemented
988#548C22×C4114yescomplemented
989#547C22×C4118yescomplemented
990#547C22×C4114yescomplemented
991#547C22×C4112yescomplemented
992#547C22×C4112yescomplemented
993#547C22×C4112yescomplemented
994#546C22×C4118yescomplemented
995#546C22×C4114yescomplemented
996#546C22×C4114yescomplemented
997#546C22×C4118yescomplemented
998#546C22×C4118yescomplemented
999#546C22×C4114yescomplemented
1000#546C22×C4114yescomplemented
1001#546C22×C4114yescomplemented
1002#546C22×C4114yescomplemented
1003#546C22×C4118yescomplemented
1004#546C22×C4118yescomplemented
1005#546C22×C4114yescomplemented
1006#546C22×C4114yescomplemented
1007D42C22×C4114yescomplemented
1008D42C22×C4118yescomplemented
1009D42C22×C4112yescomplemented
1010D42C22×C4112yescomplemented
1011D42C22×C4114yescomplemented
1012#544C22×C4114yescomplemented
1013#542C22×C4114yescomplemented
1014#542C22×C4114yescomplemented
1015#542C22×C4118yescomplemented
1016#541C22×C4114yescomplemented
1017#540C22×C4114yescomplemented
1018#540C22×C4114yescomplemented
1019#540C22×C4114yescomplemented
1020#540C22×C4118yescomplemented
1021#540C22×C4118yescomplemented
1022#539C22×C4118yescomplemented
1023#539C22×C4114yescomplemented
1024#539C22×C4118yescomplemented
1025#538C22×C4118yescomplemented
1026#538C22×C4114yescomplemented
1027#538C22×C4118yescomplemented
1028#538C22×C4118yescomplemented
1029#538C22×C4118yescomplemented
1030#538C22×C4118yescomplemented
1031#537C22×C4112yescomplemented
1032#537C22×C4114yescomplemented
1033#537C22×C4112yescomplemented
1034#537C22×C4114yescomplemented
1035#537C22×C4114yescomplemented
1036#536C22×C4112yescomplemented
1037#536C22×C4114yescomplemented
1038#536C22×C4114yescomplemented
1039#535C22×C4112yescomplemented
1040#535C22×C4114yescomplemented
1041#535C22×C4114yescomplemented
1042#535C22×C4114yescomplemented
1043#534C22×C4114yescomplemented
1044#534C22×C4118yescomplemented
1045#533C22×C4111yescharacteristic, complemented
1046#533C22×C4111yescharacteristic, complemented
1047#533C22×C4111yescharacteristic, complemented
1048#532C22×C4111yescharacteristic
1049#532C22×C4112yescomplemented
1050#532C22×C4111yescharacteristic, complemented
1051#532C22×C4112yescomplemented
1052#532C22×C4111yescharacteristic, complemented
1053#532C22×C4111yescharacteristic, complemented
1054#532C22×C4112yescomplemented
1055#532C22×C4112yescomplemented
1056#532C22×C4112yescomplemented
1057#532C22×C4112yescomplemented
1058#532C22×C4111yescharacteristic, complemented
1059#532C22×C4111yescharacteristic, complemented
1060#532C22×C4111yescharacteristic, complemented
1061#532C22×C4114yescomplemented
1062#532C22×C4114yescomplemented
1063C2×C4⋊Q8C22×C4111yescharacteristic, complemented
1064C2×#127C22×C4111yescharacteristic, complemented
1065#529C22×C4112yescomplemented
1066#529C22×C4112yescomplemented
1067#529C22×C4112yescomplemented
1068#529C22×C4112yescomplemented
1069#529C22×C4112yescomplemented
1070#529C22×C4112yescomplemented
1071#529C22×C4112yescomplemented
1072#529C22×C4112yescomplemented
1073#529C22×C4112yescomplemented
1074#529C22×C4112yescomplemented
1075#529C22×C4112yescomplemented
1076#529C22×C4112yescomplemented
1077#529C22×C4112yescomplemented
1078#529C22×C4112yescomplemented
1079#529C22×C4114yescomplemented
1080#529C22×C4114yescomplemented
1081#529C22×C4114yescomplemented
1082C2×#126C22×C4112yescomplemented
1083C2×#125C22×C4111yescharacteristic, complemented
1084C2×#124C22×C4111yescharacteristic, complemented
1085C2×#124C22×C4112yescomplemented
1086C2×#124C22×C4114yescomplemented
1087#525C22×C4112yescomplemented
1088#525C22×C4112yescomplemented
1089#525C22×C4112yescomplemented
1090#525C22×C4114yescomplemented
1091#525C22×C4114yescomplemented
1092#525C22×C4114yescomplemented
1093C2×#123C22×C4112yescomplemented
1094C2×C22⋊Q8C22×C4111yescharacteristic, complemented
1095C2×C22⋊Q8C22×C4114yescomplemented
1096C2×#121C22×C4111yescharacteristic
1097C2×#121C22×C4112yescomplemented
1098C2×#121C22×C4112yescomplemented
1099C2×#121C22×C4114yescomplemented
1100C2×#121C22×C4114yescomplemented
1101#520C22×C4112yescomplemented
1102#520C22×C4112yescomplemented
1103#520C22×C4114yescomplemented
1104#518C22×C4114yescomplemented
1105#518C22×C4118yescomplemented
1106C4×#41C22×C4112yescomplemented
1107C4×#41C22×C4112yescomplemented
1108C4×#41C22×C4112yescomplemented
1109C2×C4×Q8C22×C4111yescharacteristic, complemented
1110C2×C4×D4C22×C4111yescharacteristic, complemented
1111C2×C4×D4C22×C4112yescomplemented
1112C2×C4×D4C22×C4112yescomplemented
1113C2×C4×D4C22×C4112yescomplemented
1114C2×#117C22×C4112yescomplemented
1115C22×C42C22×C4111yescharacteristic, complemented
1116C41#6283011yescharacteristic, direct product factor, Sylow
11172−1+4—48no—
1118H(5,𝔽2)—48no—
1119C2×#41—48no—
1120C2×#41C23×C4112yes—
1121C2×#41C23×C4112yes—
1122C2×#41C23×C4112yes—
1123C2×#41C23×C4112yes—
1124C2×#41C23×C4112yes—
1125C2×#41C23×C4114yes—
1126C2×#41C23×C4114yes—
1127C2×#41C23×C4114yes—
1128C2×#41C23×C4114yes—
1129C2×#41C23×C4114yes—
1130C2×#41C23×C4112yes—
1131C2×#41C23×C4112yes—
1132C2×#41C23×C4114yes—
1133C2×#41C23×C4114yes—
1134C2×#41C23×C4118yes—
1135C22×Q8C23×C4111yescharacteristic
1136C22×Q8C23×C4114yes—
1137C22×Q8C23×C4112yes—
1138C22×Q8C23×C4114yes—
1139C22×D4C23×C4111yescharacteristic
1140C22×D4C23×C4112yes—
1141C22×D4C23×C4112yes—
1142C22×D4C23×C4112yes—
1143C22×D4C23×C4118yes—
1144C22×D4C23×C4114yes—
1145C22×D4C23×C4114yes—
1146C22×D4C23×C4118yes—
1147C22×D4C23×C4114yes—
1148C22×D4C23×C4112yes—
1149C22×D4C23×C4114yes—
1150C23×C4C23×C4111yescharacteristic
1151C23×C4C23×C4112yes—
1152C23×C4C23×C4111yescharacteristic
1153C23×C4C23×C4114yes—
1154C23×C4C23×C4111yescharacteristic
1155C4⋊Q8C23×C4111yescharacteristic
1156C4⋊Q8C23×C4112yes—
1157C4⋊Q8C23×C4112yes—
1158C4⋊Q8C23×C4111yescharacteristic
1159C4⋊Q8C23×C4112yes—
1160C4⋊Q8C23×C4111yescharacteristic
1161C4⋊Q8C23×C4111yescharacteristic
1162C4⋊Q8C23×C4111yescharacteristic
1163C4⋊Q8C23×C4114yes—
1164C4⋊Q8C23×C4114yes—
1165C4⋊Q8C23×C4118yes—
1166#127C23×C4111yescharacteristic
1167#127C23×C4112yes—
1168#127C23×C4112yes—
1169#127C23×C4111yescharacteristic
1170#127C23×C4112yes—
1171#127C23×C4111yescharacteristic
1172#127C23×C4114yes—
1173#127C23×C4114yes—
1174#127C23×C4118yes—
1175#126C23×C4114yes—
1176#126C23×C4114yes—
1177#126C23×C4114yes—
1178#126C23×C4114yes—
1179#126C23×C4114yes—
1180#126C23×C4114yes—
1181#126C23×C4118yes—
1182#126C23×C4118yes—
1183#126C23×C4118yes—
1184#126C23×C4118yes—
1185#126C23×C4118yes—
1186#126C23×C4118yes—
1187#126C23×C4118yes—
1188#125C23×C4112yes—
1189#125C23×C4112yes—
1190#125C23×C4112yes—
1191#125C23×C4112yes—
1192#125C23×C4112yes—
1193#125C23×C4112yes—
1194#125C23×C4112yes—
1195#125C23×C4114yes—
1196#125C23×C4118yes—
1197#125C23×C4118yes—
1198#125C23×C4118yes—
1199#124C23×C4112yes—
1200#124C23×C4112yes—
1201#124C23×C4112yes—
1202#124C23×C4112yes—
1203#124C23×C4112yes—
1204#124C23×C4112yes—
1205#124C23×C4112yes—
1206#124C23×C4114yes—
1207#124C23×C4112yes—
1208#124C23×C4114yes—
1209#124C23×C4114yes—
1210#124C23×C4114yes—
1211#124C23×C4118yes—
1212#124C23×C4118yes—
1213#124C23×C4112yes—
1214#124C23×C4112yes—
1215#124C23×C4112yes—
1216#124C23×C4114yes—
1217#124C23×C4118yes—
1218#124C23×C4118yes—
1219#124C23×C4118yes—
1220#124C23×C4118yes—
1221#123C23×C4114yes—
1222#123C23×C4114yes—
1223#123C23×C4114yes—
1224#123C23×C4114yes—
1225#123C23×C4114yes—
1226#123C23×C4114yes—
1227#123C23×C4114yes—
1228#123C23×C4118yes—
1229#123C23×C4118yes—
1230#123C23×C4118yes—
1231#123C23×C4118yes—
1232#123C23×C4118yes—
1233#123C23×C4118yes—
1234#123C23×C4118yes—
1235#123C23×C4118yes—
1236#123C23×C4118yes—
1237#123C23×C4118yes—
1238#123C23×C4118yes—
1239#123C23×C4118yes—
1240#123C23×C4118yes—
1241#123C23×C4118yes—
1242#123C23×C4118yes—
1243#123C23×C4118yes—
1244C22⋊Q8C23×C4112yes—
1245C22⋊Q8C23×C4112yes—
1246C22⋊Q8C23×C4112yes—
1247C22⋊Q8C23×C4112yes—
1248C22⋊Q8C23×C4112yes—
1249C22⋊Q8C23×C4114yes—
1250C22⋊Q8C23×C4114yes—
1251C22⋊Q8C23×C4118yes—
1252C22⋊Q8C23×C4118yes—
1253C22⋊Q8C23×C4112yes—
1254C22⋊Q8C23×C4112yes—
1255C22⋊Q8C23×C4112yes—
1256C22⋊Q8C23×C4112yes—
1257C22⋊Q8C23×C4112yes—
1258C22⋊Q8C23×C4114yes—
1259C22⋊Q8C23×C4114yes—
1260C22⋊Q8C23×C4114yes—
1261C22⋊Q8C23×C4114yes—
1262C22⋊Q8C23×C4114yes—
1263C22⋊Q8C23×C4118yes—
1264C22⋊Q8C23×C4118yes—
1265C22⋊Q8C23×C4118yes—
1266C22⋊Q8C23×C4118yes—
1267C22⋊Q8C23×C4118yes—
1268C22⋊Q8C23×C4118yes—
1269C22⋊Q8C23×C4118yes—
1270#121C23×C4112yes—
1271#121C23×C4112yes—
1272#121C23×C4112yes—
1273#121C23×C4112yes—
1274#121C23×C4112yes—
1275#121C23×C4112yes—
1276#121C23×C4112yes—
1277#121C23×C4112yes—
1278#121C23×C4112yes—
1279#121C23×C4112yes—
1280#121C23×C4112yes—
1281#121C23×C4114yes—
1282#121C23×C4112yes—
1283#121C23×C4114yes—
1284#121C23×C4114yes—
1285#121C23×C4112yes—
1286#121C23×C4112yes—
1287#121C23×C4114yes—
1288#121C23×C4118yes—
1289#121C23×C4114yes—
1290#121C23×C4114yes—
1291#121C23×C4118yes—
1292#121C23×C4118yes—
1293#121C23×C4118yes—
1294#121C23×C4114yes—
1295#121C23×C4114yes—
1296#121C23×C4112yes—
1297#121C23×C4112yes—
1298#121C23×C4112yes—
1299#121C23×C4112yes—
1300#121C23×C4114yes—
1301#121C23×C4114yes—
1302#121C23×C4114yes—
1303#121C23×C4114yes—
1304#121C23×C4114yes—
1305#121C23×C4118yes—
1306#121C23×C4118yes—
1307#121C23×C4118yes—
1308#121C23×C4118yes—
1309#121C23×C4118yes—
1310#121C23×C4118yes—
1311#121C23×C4118yes—
1312#121C23×C4118yes—
1313#121C23×C4118yes—
1314#121C23×C4118yes—
1315#121C23×C4118yes—
1316#121C23×C4118yes—
1317#121C23×C4118yes—
1318#121C23×C4118yes—
1319#121C23×C4118yes—
1320#121C23×C4118yes—
1321#120C23×C4114yes—
1322#120C23×C4118yes—
1323#120C23×C4118yes—
1324#120C23×C4118yes—
1325#120C23×C4118yes—
1326#120C23×C4118yes—
1327#120C23×C4118yes—
1328#120C23×C4118yes—
1329#120C23×C4118yes—
1330#120C23×C4118yes—
1331C4×Q8C23×C4112yes—
1332C4×Q8C23×C4112yes—
1333C4×Q8C23×C4112yes—
1334C4×Q8C23×C4112yes—
1335C4×Q8C23×C4112yes—
1336C4×Q8C23×C4112yes—
1337C4×Q8C23×C4112yes—
1338C4×Q8C23×C4112yes—
1339C4×Q8C23×C4112yes—
1340C4×Q8C23×C4112yes—
1341C4×Q8C23×C4114yes—
1342C4×Q8C23×C4114yes—
1343C4×Q8C23×C4114yes—
1344C4×D4C23×C4114yes—
1345C4×D4C23×C4112yes—
1346C4×D4C23×C4112yes—
1347C4×D4C23×C4114yes—
1348C4×D4C23×C4114yes—
1349C4×D4C23×C4112yes—
1350C4×D4C23×C4112yes—
1351C4×D4C23×C4112yes—
1352C4×D4C23×C4112yes—
1353C4×D4C23×C4114yes—
1354C4×D4C23×C4112yes—
1355C4×D4C23×C4112yes—
1356C4×D4C23×C4114yes—
1357C4×D4C23×C4114yes—
1358C4×D4C23×C4114yes—
1359C4×D4C23×C4112yes—
1360C4×D4C23×C4112yes—
1361C4×D4C23×C4112yes—
1362C4×D4C23×C4114yes—
1363C4×D4C23×C4112yes—
1364C4×D4C23×C4114yes—
1365C4×D4C23×C4112yes—
1366C4×D4C23×C4114yes—
1367C4×D4C23×C4114yes—
1368C4×D4C23×C4114yes—
1369C4×D4C23×C4114yes—
1370C4×D4C23×C4114yes—
1371C4×D4C23×C4112yes—
1372C4×D4C23×C4112yes—
1373C4×D4C23×C4112yes—
1374C4×D4C23×C4112yes—
1375C4×D4C23×C4112yes—
1376C4×D4C23×C4118yes—
1377C4×D4C23×C4118yes—
1378C4×D4C23×C4118yes—
1379C4×D4C23×C4118yes—
1380C4×D4C23×C4118yes—
1381C4×D4C23×C4118yes—
1382C4×D4C23×C4114yes—
1383C4×D4C23×C4118yes—
1384C4×D4C23×C4118yes—
1385C4×D4C23×C4114yes—
1386C4×D4C23×C4118yes—
1387C4×D4C23×C4118yes—
1388C4×D4C23×C4118yes—
1389C4×D4C23×C4114yes—
1390C4×D4C23×C4114yes—
1391C4×D4C23×C4118yes—
1392C4×D4C23×C4114yes—
1393#117C23×C4114yes—
1394#117C23×C4114yes—
1395#117C23×C4114yes—
1396#117C23×C4114yes—
1397#117C23×C4112yes—
1398#117C23×C4112yes—
1399#117C23×C4112yes—
1400#117C23×C4114yes—
1401#117C23×C4114yes—
1402#117C23×C4114yes—
1403#117C23×C4114yes—
1404#117C23×C4118yes—
1405#117C23×C4118yes—
1406#117C23×C4114yes—
1407#117C23×C4114yes—
1408#117C23×C4118yes—
1409C2×C4⋊C4C23×C4112yes—
1410C2×C4⋊C4C23×C4112yes—
1411C2×C4⋊C4C23×C4111yescharacteristic
1412C2×C4⋊C4C23×C4112yes—
1413C2×C4⋊C4C23×C4112yes—
1414C2×C4⋊C4C23×C4112yes—
1415C2×C4⋊C4C23×C4111yescharacteristic
1416C2×C4⋊C4C23×C4112yes—
1417C2×C4⋊C4C23×C4114yes—
1418C2×C4⋊C4C23×C4114yes—
1419C2×C4⋊C4C23×C4114yes—
1420C2×C4⋊C4C23×C4118yes—
1421C2×C22⋊C4C23×C4112yes—
1422C2×C22⋊C4C23×C4112yes—
1423C2×C22⋊C4C23×C4114yes—
1424C2×C22⋊C4C23×C4114yes—
1425C2×C22⋊C4C23×C4112yes—
1426C2×C22⋊C4C23×C4112yes—
1427C2×C22⋊C4C23×C4112yes—
1428C2×C22⋊C4C23×C4118yes—
1429C2×C22⋊C4C23×C4118yes—
1430C2×C22⋊C4C23×C4118yes—
1431C2×C22⋊C4C23×C4118yes—
1432C2×C22⋊C4C23×C4118yes—
1433C2×C42C23×C4111yescharacteristic
1434C2×C42C23×C4112yes—
1435C2×C42C23×C4111yescharacteristic
1436C2×C42C23×C4111yescharacteristic
1437C2×C42C23×C4111yescharacteristic
1438C2×C42C23×C4114yes—
1439C2×C42C23×C4111yescharacteristic
1440C2×C42C23×C4111yescharacteristic
1441C2×C42C23×C4111yescharacteristic
1442C2×C42C23×C4111yescharacteristic
1443C2×C42C23×C4111yescharacteristic
1444C2×C42C23×C4111yescharacteristic
1445C2×C42C23×C4111yescharacteristic
1446C2×C42C23×C4111yescharacteristic
1447C24C24×C4111yescharacteristic
1448C24C24×C4112yes—
1449C24C24×C4114yes—
1450C24C24×C4118yes—
1451#41—28no—
1452#41—28no—
1453#41—28no—
1454#41—48no—
1455#41—48no—
1456#41—416no—
1457#41—44no—
1458#41—44no—
1459#41—44no—
1460#41—48no—
1461#41—48no—
1462#41—48no—
1463#41—48no—
1464#41—48no—
1465#41—44no—
1466C2×Q8—24no—
1467C2×Q8—44no—
1468C2×Q8—48no—
1469C2×Q8—48no—
1470C2×Q8C24×C4112yes—
1471C2×Q8C24×C4112yes—
1472C2×Q8C24×C4112yes—
1473C2×Q8C24×C4112yes—
1474C2×Q8C24×C4112yes—
1475C2×Q8C24×C4112yes—
1476C2×Q8C24×C4112yes—
1477C2×Q8C24×C4118yes—
1478C2×Q8C24×C4114yes—
1479C2×D4—24no—
1480C2×D4—44no—
1481C2×D4—48no—
1482C2×D4—48no—
1483C2×D4—44no—
1484C2×D4—48no—
1485C2×D4—44no—
1486C2×D4—48no—
1487C2×D4—416no—
1488C2×D4—44no—
1489C2×D4—416no—
1490C2×D4C24×C4114yes—
1491C2×D4C24×C4114yes—
1492C2×D4C24×C4112yes—
1493C2×D4C24×C4112yes—
1494C2×D4C24×C4112yes—
1495C2×D4C24×C4114yes—
1496C2×D4C24×C4114yes—
1497C2×D4C24×C4114yes—
1498C2×D4C24×C4112yes—
1499C2×D4C24×C4112yes—
1500C2×D4C24×C4112yes—
1501C2×D4C24×C4112yes—
1502C2×D4C24×C4112yes—
1503C2×D4C24×C4112yes—
1504C2×D4C24×C4118yes—
1505C2×D4C24×C4112yes—
1506C2×D4C24×C4118yes—
1507C2×D4C24×C4114yes—
1508C2×D4C24×C4118yes—
1509C2×D4C24×C4114yes—
1510C2×D4C24×C4114yes—
1511C2×D4C24×C4114yes—
1512C2×D4C24×C4118yes—
1513C2×D4C24×C4112yes—
1514C2×D4C24×C4118yes—
1515C2×D4C24×C4114yes—
1516C2×D4C24×C4118yes—
1517C2×D4C24×C4114yes—
1518C2×D4C24×C4118yes—
1519C2×D4C24×C4114yes—
1520C22×C4—24no—
1521C22×C4—48no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4C24×C4111yescharacteristic
1526C22×C4C24×C4111yescharacteristic
1527C22×C4C24×C4111yescharacteristic
1528C22×C4C24×C4111yescharacteristic
1529C22×C4C24×C4111yescharacteristic
1530C22×C4C24×C4111yescharacteristic
1531C22×C4C24×C4111yescharacteristic
1532C22×C4C24×C4111yescharacteristic
1533C22×C4C24×C4111yescharacteristic
1534C22×C4C24×C4111yescharacteristic
1535C22×C4C24×C4112yes—
1536C22×C4C24×C4114yes—
1537C22×C4C24×C4114yes—
1538C22×C4C24×C4114yes—
1539C22×C4C24×C4114yes—
1540C22×C4C24×C4111yescharacteristic
1541C22×C4C24×C4111yescharacteristic
1542C22×C4C24×C4111yescharacteristic
1543C22×C4C24×C4111yescharacteristic
1544C22×C4C24×C4111yescharacteristic
1545C22×C4C24×C4111yescharacteristic
1546C22×C4C24×C4111yescharacteristic
1547C22×C4C24×C4114yes—
1548C22×C4C24×C4114yes—
1549C22×C4C24×C4112yes—
1550C22×C4C24×C4112yes—
1551C22×C4C24×C4114yes—
1552C22×C4C24×C4114yes—
1553C22×C4C24×C4114yes—
1554C22×C4C24×C4118yes—
1555C22×C4C24×C4118yes—
1556C22×C4C24×C4118yes—
1557C22×C4C24×C4118yes—
1558C22×C4C24×C4118yes—
1559C22×C4C24×C4114yes—
1560C22×C4C24×C4111yescharacteristic
1561C4⋊C4C24×C4112yes—
1562C4⋊C4C24×C4114yes—
1563C4⋊C4C24×C4112yes—
1564C4⋊C4C24×C4112yes—
1565C4⋊C4C24×C4112yes—
1566C4⋊C4C24×C4112yes—
1567C4⋊C4C24×C4112yes—
1568C4⋊C4C24×C4114yes—
1569C4⋊C4C24×C4118yes—
1570C4⋊C4C24×C4114yes—
1571C4⋊C4C24×C4112yes—
1572C4⋊C4C24×C4114yes—
1573C4⋊C4C24×C4114yes—
1574C4⋊C4C24×C4114yes—
1575C4⋊C4C24×C4112yes—
1576C4⋊C4C24×C4112yes—
1577C4⋊C4C24×C4112yes—
1578C4⋊C4C24×C4114yes—
1579C4⋊C4C24×C4114yes—
1580C4⋊C4C24×C4112yes—
1581C4⋊C4C24×C4114yes—
1582C4⋊C4C24×C4118yes—
1583C4⋊C4C24×C4118yes—
1584C4⋊C4C24×C4118yes—
1585C4⋊C4C24×C4114yes—
1586C4⋊C4C24×C4114yes—
1587C4⋊C4C24×C4112yes—
1588C4⋊C4C24×C4114yes—
1589C4⋊C4C24×C4118yes—
1590C4⋊C4C24×C4118yes—
1591C4⋊C4C24×C4114yes—
1592C4⋊C4C24×C4114yes—
1593C4⋊C4C24×C4114yes—
1594C4⋊C4C24×C4114yes—
1595C4⋊C4C24×C4112yes—
1596C4⋊C4C24×C4112yes—
1597C22⋊C4C24×C4114yes—
1598C22⋊C4C24×C4114yes—
1599C22⋊C4C24×C4114yes—
1600C22⋊C4C24×C4114yes—
1601C22⋊C4C24×C4114yes—
1602C22⋊C4C24×C4114yes—
1603C22⋊C4C24×C4114yes—
1604C22⋊C4C24×C4114yes—
1605C22⋊C4C24×C4114yes—
1606C22⋊C4C24×C4114yes—
1607C22⋊C4C24×C4118yes—
1608C22⋊C4C24×C4118yes—
1609C22⋊C4C24×C4118yes—
1610C22⋊C4C24×C4114yes—
1611C22⋊C4C24×C4114yes—
1612C22⋊C4C24×C4114yes—
1613C22⋊C4C24×C4114yes—
1614C22⋊C4C24×C4114yes—
1615C22⋊C4C24×C4114yes—
1616C22⋊C4C24×C4114yes—
1617C22⋊C4C24×C4114yes—
1618C22⋊C4C24×C4118yes—
1619C22⋊C4C24×C4118yes—
1620C22⋊C4C24×C4114yes—
1621C22⋊C4C24×C4118yes—
1622C22⋊C4C24×C4118yes—
1623C22⋊C4C24×C4114yes—
1624C22⋊C4C24×C4114yes—
1625C22⋊C4C24×C4114yes—
1626C22⋊C4C24×C4118yes—
1627C22⋊C4C24×C4114yes—
1628C22⋊C4C24×C4114yes—
1629C22⋊C4C24×C4114yes—
1630C22⋊C4C24×C4114yes—
1631C22⋊C4C24×C4118yes—
1632C22⋊C4C24×C4114yes—
1633C22⋊C4C24×C4118yes—
1634C42C24×C4111yescharacteristic
1635C42C24×C4111yescharacteristic
1636C42C24×C4111yescharacteristic
1637C42C24×C4111yescharacteristic
1638C42C24×C4111yescharacteristic
1639C42C24×C4111yescharacteristic
1640C42C24×C4111yescharacteristic
1641C42C24×C4111yescharacteristic
1642C42C24×C4111yescharacteristic
1643C42C24×C4111yescharacteristic
1644C42C24×C4111yescharacteristic
1645C42C24×C4111yescharacteristic
1646C42C24×C4111yescharacteristic
1647C42C24×C4111yescharacteristic
1648C42C24×C4111yescharacteristic
1649C42C24×C4111yescharacteristic
1650C42C24×C4114yes—
1651C42C24×C4114yes—
1652C42C24×C4114yes—
1653C42C24×C4114yes—
1654C42C24×C4114yes—
1655C42C24×C4118yes—
1656C42C24×C4118yes—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—28no—
1661C23—41no—
1662C23—44no—
1663C23—42no—
1664C23—44no—
1665C23—42no—
1666C23—48no—
1667C23—48no—
1668C23—48no—
1669C23C25×C4114yes—
1670C23C25×C4114yes—
1671C23C25×C4114yes—
1672C23C25×C4111yescharacteristic
1673C23C25×C4114yes—
1674C23C25×C4111yescharacteristic
1675C23C25×C4111yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—24no—
1679Q8—24no—
1680Q8—24no—
1681Q8—24no—
1682Q8—48no—
1683Q8—44no—
1684Q8—42no—
1685D4—28no—
1686D4—28no—
1687D4—28no—
1688D4—28no—
1689D4—28no—
1690D4—24no—
1691D4—24no—
1692D4—24no—
1693D4—24no—
1694D4—24no—
1695D4—24no—
1696D4—24no—
1697D4—24no—
1698D4—48no—
1699D4—48no—
1700D4—44no—
1701D4—44no—
1702D4—44no—
1703D4—48no—
1704D4—44no—
1705D4—42no—
1706D4—44no—
1707D4—42no—
1708D4—44no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—42no—
1713D4—44no—
1714D4—48no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—28no—
1724C2×C4—28no—
1725C2×C4—28no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—28no—
1729C2×C4—22no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—41no—
1734C2×C4—44no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—42no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—48no—
1743C2×C4—42no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4H(5,𝔽2)×C4114yes—
1751C2×C4C25×C4111yescharacteristic
1752C2×C4C25×C4111yescharacteristic
1753C2×C4C25×C4111yescharacteristic
1754C2×C4C25×C4111yescharacteristic
1755C2×C4C25×C4114yes—
1756C2×C4C25×C4114yes—
1757C2×C4C25×C4111yescharacteristic
1758C2×C4C25×C4111yescharacteristic
1759C2×C4C25×C4111yescharacteristic
1760C2×C4C25×C4114yes—
1761C2×C4C25×C4111yescharacteristic
1762C2×C4C25×C4111yescharacteristic
1763C2×C4C25×C4114yes—
1764C2×C4C25×C4114yes—
1765C2×C4C25×C4114yes—
1766C2×C4C25×C4114yes—
1767C2×C4C25×C4114yes—
1768C2×C4C25×C4111yescharacteristic
1769C2×C4C25×C4111yescharacteristic
1770C2×C4C25×C4111yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—24no—
1780C22—21no—
1781C22—24no—
1782C22—24no—
1783C22—21no—
1784C22—24no—
1785C22—24no—
1786C22—24no—
1787C22—24no—
1788C22—24no—
1789C22—24no—
1790C22—44no—
1791C22—88no—
1792C22—84no—
1793C22—168no—
1794C22C2×H(5,𝔽2)×C4112yes—
1795C22C41×#58512yes—
1796C22C26×C4111yescharacteristic
1797C4—21no—
1798C4—21no—
1799C4—24no—
1800C4—24no—
1801C4—24no—
1802C4—24no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—24no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—24no—
1812C4—24no—
1813C4—24no—
1814C4C2×H(5,𝔽2)×C4112yes—
1815C4C2×H(5,𝔽2)×C4112yes—
1816C4C41×#58512yes—
1817C2—22no—
1818C2—22no—
1819C2—41no—
1820C2—44no—
1821C2—44no—
1822C2—44no—
1823C2—44no—
1824C2C22×H(5,𝔽2)×C4111yescharacteristic
1825C2C2×C41×#58511yescharacteristic
1826C2C2×C41×#58511yescharacteristic
subgroupG/H
center, socleC22×C41C26
commutator, Frattini, cosocleC22C26×C41
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#3562C2semidirect
2. C41×#3560C2semidirect
3. C41×#3552C2semidirect
4. C41×#3551C2semidirect
5. C41×#3547C2semidirect
6. C41×#3546C2semidirect
7. C41×#3543C2semidirect
8. C41×#3534C2semidirect
9. C41×#3520C2semidirect
10. C41×#3519C2semidirect
11. C41×#3519C2semidirect
12. C41×#3517C2semidirect
13. C41×#3514C2semidirect
14. C41×#3514C2semidirect
15. C41×#3512C2semidirect
16. C41×#3507C2semidirect
17. C41×#3506C2semidirect
18. C41×#3505C2semidirect
19. C41×#3500C2semidirect
20. C41×#3497C2semidirect
21. C41×#3496C2semidirect
22. C41×#3494C2semidirect
23. C41×#3489C2semidirect
24. C41×#3488C2semidirect
25. C41×#3444C2semidirect
26. C2×C41×#532C2semidirect
27. C2×C41×#529C2semidirect
28. C2×2−1+4×C41C22semidirect
29. C2×H(5,𝔽2)×C41C22semidirect
30. C22×#41×C41C22semidirect
31. C41×#563C22semidirect
32. C41×#562C22semidirect
33. C41×#560C22semidirect
34. C41×#560C22semidirect
35. C41×#559C22semidirect
36. C41×#559C22semidirect
37. C41×#557C22semidirect
38. C41×#556C22semidirect
39. C41×#556C22semidirect
40. C41×#556C22semidirect
41. C41×#555C22semidirect
42. C41×#555C22semidirect
43. C41×#555C22semidirect
44. C41×#554C22semidirect
45. C41×#554C22semidirect
46. C41×#553C22semidirect
47. C41×#553C22semidirect
48. C41×#553C22semidirect
49. C41×#553C22semidirect
50. C41×#553C22semidirect
51. C41×#553C22semidirect
52. C41×#553C22semidirect
53. C41×#553C22semidirect
54. C41×#553C22semidirect
55. C41×#552C22semidirect
56. C41×#552C22semidirect
57. C41×#552C22semidirect
58. C41×#551C22semidirect
59. C41×#551C22semidirect
60. C41×#551C22semidirect
61. C41×#551C22semidirect
62. C41×#550C22semidirect
63. C41×#550C22semidirect
64. C41×#550C22semidirect
65. C41×#550C22semidirect
66. C41×#550C22semidirect
67. D4×Q8×C41C22semidirect
68. D4×Q8×C41C22semidirect
69. D4×Q8×C41C22semidirect
70. C41×#548C22semidirect
71. C41×#548C22semidirect
72. C41×#548C22semidirect
73. C41×#548C22semidirect
74. C41×#548C22semidirect
75. C41×#548C22semidirect
76. C41×#547C22semidirect
77. C41×#547C22semidirect
78. C41×#547C22semidirect
79. C41×#547C22semidirect
80. C41×#547C22semidirect
81. C41×#546C22semidirect
82. C41×#546C22semidirect
83. C41×#546C22semidirect
84. C41×#546C22semidirect
85. C41×#546C22semidirect
86. C41×#546C22semidirect
87. C41×#546C22semidirect
88. C41×#546C22semidirect
89. C41×#546C22semidirect
90. C41×#546C22semidirect
91. C41×#546C22semidirect
92. C41×#546C22semidirect
93. C41×#546C22semidirect
94. D42×C41C22semidirect
95. D42×C41C22semidirect
96. D42×C41C22semidirect
97. D42×C41C22semidirect
98. D42×C41C22semidirect
99. C41×#544C22semidirect
100. C41×#542C22semidirect
101. C41×#542C22semidirect
102. C41×#542C22semidirect
103. C41×#541C22semidirect
104. C41×#540C22semidirect
105. C41×#540C22semidirect
106. C41×#540C22semidirect
107. C41×#540C22semidirect
108. C41×#540C22semidirect
109. C41×#539C22semidirect
110. C41×#539C22semidirect
111. C41×#539C22semidirect
112. C41×#538C22semidirect
113. C41×#538C22semidirect
114. C41×#538C22semidirect
115. C41×#538C22semidirect
116. C41×#538C22semidirect
117. C41×#538C22semidirect
118. C41×#537C22semidirect
119. C41×#537C22semidirect
120. C41×#537C22semidirect
121. C41×#537C22semidirect
122. C41×#537C22semidirect
123. C41×#536C22semidirect
124. C41×#536C22semidirect
125. C41×#536C22semidirect
126. C41×#535C22semidirect
127. C41×#535C22semidirect
128. C41×#535C22semidirect
129. C41×#535C22semidirect
130. C41×#534C22semidirect
131. C41×#534C22semidirect
132. C41×#533C22semidirect
133. C41×#533C22semidirect
134. C41×#533C22semidirect
136. C41×#532C22semidirect
137. C41×#532C22semidirect
138. C41×#532C22semidirect
139. C41×#532C22semidirect
140. C41×#532C22semidirect
141. C41×#532C22semidirect
142. C41×#532C22semidirect
143. C41×#532C22semidirect
144. C41×#532C22semidirect
145. C41×#532C22semidirect
146. C41×#532C22semidirect
147. C41×#532C22semidirect
148. C41×#532C22semidirect
149. C41×#532C22semidirect
150. C2×C4⋊Q8×C41C22semidirect
151. C2×#127×C41C22semidirect
152. C41×#529C22semidirect
153. C41×#529C22semidirect
154. C41×#529C22semidirect
155. C41×#529C22semidirect
156. C41×#529C22semidirect
157. C41×#529C22semidirect
158. C41×#529C22semidirect
159. C41×#529C22semidirect
160. C41×#529C22semidirect
161. C41×#529C22semidirect
162. C41×#529C22semidirect
163. C41×#529C22semidirect
164. C41×#529C22semidirect
165. C41×#529C22semidirect
166. C41×#529C22semidirect
167. C41×#529C22semidirect
168. C41×#529C22semidirect
169. C2×#126×C41C22semidirect
170. C2×#125×C41C22semidirect
171. C2×#124×C41C22semidirect
172. C2×#124×C41C22semidirect
173. C2×#124×C41C22semidirect
174. C41×#525C22semidirect
175. C41×#525C22semidirect
176. C41×#525C22semidirect
177. C41×#525C22semidirect
178. C41×#525C22semidirect
179. C41×#525C22semidirect
180. C2×#123×C41C22semidirect
181. C2×C22⋊Q8×C41C22semidirect
182. C2×C22⋊Q8×C41C22semidirect
184. C2×#121×C41C22semidirect
185. C2×#121×C41C22semidirect
186. C2×#121×C41C22semidirect
187. C2×#121×C41C22semidirect
188. C41×#520C22semidirect
189. C41×#520C22semidirect
190. C41×#520C22semidirect
191. C41×#518C22semidirect
192. C41×#518C22semidirect
193. C4×#41×C41C22semidirect
194. C4×#41×C41C22semidirect
195. C4×#41×C41C22semidirect
196. C2×C4×Q8×C41C22semidirect
197. C2×C4×D4×C41C22semidirect
198. C2×C4×D4×C41C22semidirect
199. C2×C4×D4×C41C22semidirect
200. C2×C4×D4×C41C22semidirect
201. C2×#117×C41C22semidirect
202. C22×C42×C41C22semidirect
857. #62830C41direct (N × H)
904. #3562C2×C41semidirect
905. #3560C2×C41semidirect
906. #3552C2×C41semidirect
907. #3551C2×C41semidirect
908. #3547C2×C41semidirect
909. #3546C2×C41semidirect
910. #3543C2×C41semidirect
911. #3534C2×C41semidirect
912. #3520C2×C41semidirect
913. #3519C2×C41semidirect
914. #3519C2×C41semidirect
915. #3517C2×C41semidirect
916. #3514C2×C41semidirect
917. #3514C2×C41semidirect
918. #3512C2×C41semidirect
919. #3507C2×C41semidirect
920. #3506C2×C41semidirect
921. #3505C2×C41semidirect
922. #3500C2×C41semidirect
923. #3497C2×C41semidirect
924. #3496C2×C41semidirect
925. #3494C2×C41semidirect
926. #3489C2×C41semidirect
927. #3488C2×C41semidirect
928. #3444C2×C41semidirect
929. C2×#532C2×C41semidirect
930. C2×#529C2×C41semidirect
941. C2×2−1+4C22×C41semidirect
942. C2×H(5,𝔽2)C22×C41semidirect
943. C22×#41C22×C41semidirect
944. #563C22×C41semidirect
945. #562C22×C41semidirect
946. #560C22×C41semidirect
947. #560C22×C41semidirect
948. #559C22×C41semidirect
949. #559C22×C41semidirect
950. #557C22×C41semidirect
951. #556C22×C41semidirect
952. #556C22×C41semidirect
953. #556C22×C41semidirect
954. #555C22×C41semidirect
955. #555C22×C41semidirect
956. #555C22×C41semidirect
957. #554C22×C41semidirect
958. #554C22×C41semidirect
959. #553C22×C41semidirect
960. #553C22×C41semidirect
961. #553C22×C41semidirect
962. #553C22×C41semidirect
963. #553C22×C41semidirect
964. #553C22×C41semidirect
965. #553C22×C41semidirect
966. #553C22×C41semidirect
967. #553C22×C41semidirect
968. #552C22×C41semidirect
969. #552C22×C41semidirect
970. #552C22×C41semidirect
971. #551C22×C41semidirect
972. #551C22×C41semidirect
973. #551C22×C41semidirect
974. #551C22×C41semidirect
975. #550C22×C41semidirect
976. #550C22×C41semidirect
977. #550C22×C41semidirect
978. #550C22×C41semidirect
979. #550C22×C41semidirect
980. D4×Q8C22×C41semidirect
981. D4×Q8C22×C41semidirect
982. D4×Q8C22×C41semidirect
983. #548C22×C41semidirect
984. #548C22×C41semidirect
985. #548C22×C41semidirect
986. #548C22×C41semidirect
987. #548C22×C41semidirect
988. #548C22×C41semidirect
989. #547C22×C41semidirect
990. #547C22×C41semidirect
991. #547C22×C41semidirect
992. #547C22×C41semidirect
993. #547C22×C41semidirect
994. #546C22×C41semidirect
995. #546C22×C41semidirect
996. #546C22×C41semidirect
997. #546C22×C41semidirect
998. #546C22×C41semidirect
999. #546C22×C41semidirect
1000. #546C22×C41semidirect
1001. #546C22×C41semidirect
1002. #546C22×C41semidirect
1003. #546C22×C41semidirect
1004. #546C22×C41semidirect
1005. #546C22×C41semidirect
1006. #546C22×C41semidirect
1007. D42C22×C41semidirect
1008. D42C22×C41semidirect
1009. D42C22×C41semidirect
1010. D42C22×C41semidirect
1011. D42C22×C41semidirect
1012. #544C22×C41semidirect
1013. #542C22×C41semidirect
1014. #542C22×C41semidirect
1015. #542C22×C41semidirect
1016. #541C22×C41semidirect
1017. #540C22×C41semidirect
1018. #540C22×C41semidirect
1019. #540C22×C41semidirect
1020. #540C22×C41semidirect
1021. #540C22×C41semidirect
1022. #539C22×C41semidirect
1023. #539C22×C41semidirect
1024. #539C22×C41semidirect
1025. #538C22×C41semidirect
1026. #538C22×C41semidirect
1027. #538C22×C41semidirect
1028. #538C22×C41semidirect
1029. #538C22×C41semidirect
1030. #538C22×C41semidirect
1031. #537C22×C41semidirect
1032. #537C22×C41semidirect
1033. #537C22×C41semidirect
1034. #537C22×C41semidirect
1035. #537C22×C41semidirect
1036. #536C22×C41semidirect
1037. #536C22×C41semidirect
1038. #536C22×C41semidirect
1039. #535C22×C41semidirect
1040. #535C22×C41semidirect
1041. #535C22×C41semidirect
1042. #535C22×C41semidirect
1043. #534C22×C41semidirect
1044. #534C22×C41semidirect
1045. #533C22×C41semidirect
1046. #533C22×C41semidirect
1047. #533C22×C41semidirect
1049. #532C22×C41semidirect
1050. #532C22×C41semidirect
1051. #532C22×C41semidirect
1052. #532C22×C41semidirect
1053. #532C22×C41semidirect
1054. #532C22×C41semidirect
1055. #532C22×C41semidirect
1056. #532C22×C41semidirect
1057. #532C22×C41semidirect
1058. #532C22×C41semidirect
1059. #532C22×C41semidirect
1060. #532C22×C41semidirect
1061. #532C22×C41semidirect
1062. #532C22×C41semidirect
1063. C2×C4⋊Q8C22×C41semidirect
1064. C2×#127C22×C41semidirect
1065. #529C22×C41semidirect
1066. #529C22×C41semidirect
1067. #529C22×C41semidirect
1068. #529C22×C41semidirect
1069. #529C22×C41semidirect
1070. #529C22×C41semidirect
1071. #529C22×C41semidirect
1072. #529C22×C41semidirect
1073. #529C22×C41semidirect
1074. #529C22×C41semidirect
1075. #529C22×C41semidirect
1076. #529C22×C41semidirect
1077. #529C22×C41semidirect
1078. #529C22×C41semidirect
1079. #529C22×C41semidirect
1080. #529C22×C41semidirect
1081. #529C22×C41semidirect
1082. C2×#126C22×C41semidirect
1083. C2×#125C22×C41semidirect
1084. C2×#124C22×C41semidirect
1085. C2×#124C22×C41semidirect
1086. C2×#124C22×C41semidirect
1087. #525C22×C41semidirect
1088. #525C22×C41semidirect
1089. #525C22×C41semidirect
1090. #525C22×C41semidirect
1091. #525C22×C41semidirect
1092. #525C22×C41semidirect
1093. C2×#123C22×C41semidirect
1094. C2×C22⋊Q8C22×C41semidirect
1095. C2×C22⋊Q8C22×C41semidirect
1097. C2×#121C22×C41semidirect
1098. C2×#121C22×C41semidirect
1099. C2×#121C22×C41semidirect
1100. C2×#121C22×C41semidirect
1101. #520C22×C41semidirect
1102. #520C22×C41semidirect
1103. #520C22×C41semidirect
1104. #518C22×C41semidirect
1105. #518C22×C41semidirect
1106. C4×#41C22×C41semidirect
1107. C4×#41C22×C41semidirect
1108. C4×#41C22×C41semidirect
1109. C2×C4×Q8C22×C41semidirect
1110. C2×C4×D4C22×C41semidirect
1111. C2×C4×D4C22×C41semidirect
1112. C2×C4×D4C22×C41semidirect
1113. C2×C4×D4C22×C41semidirect
1114. C2×#117C22×C41semidirect
1115. C22×C42C22×C41semidirect
1116. C41#62830direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#35622
C41×#35602
C41×#35522
C41×#35512
C41×#35472
C41×#35462
C41×#35432
C41×#35342
C41×#35202
C41×#35192
C41×#35172
C41×#35142
C41×#35122
C41×#35072
C41×#35062
C41×#35052
C41×#35002
C41×#34972
C41×#34962
C41×#34942
C41×#34892
C41×#34882
C41×#34442
C2×C41×#5322
C2×C41×#5292
#6283041