Finite Group Databasebeta

← #30557905

Subgroups — #30557905

Order 15616.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459537C211yesmaximal, characteristic, complemented
2#21459490C211yesmaximal, characteristic, complemented
3#21458114C211yesmaximal, characteristic, complemented
4#21458111C211yesmaximal, characteristic, complemented
5#21458039C211yesmaximal, characteristic, complemented
6#21457976C211yesmaximal, characteristic, complemented
7#21457975C211yesmaximal, characteristic, complemented
8#21457892C211yesmaximal, characteristic, complemented
9#21457880C211yesmaximal, characteristic, complemented
10#21457865C211yesmaximal, characteristic, complemented
11#21457864C211yesmaximal, characteristic, complemented
12#21457796C211yesmaximal, characteristic, complemented
13#21457792C211yesmaximal, characteristic, complemented
14#21457738C211yesmaximal, characteristic, complemented
15#21457729C211yesmaximal, characteristic, complemented
16#21457720C211yesmaximal, characteristic, complemented
17#21457719C211yesmaximal, characteristic, complemented
18#21456183C211yesmaximal, characteristic, complemented
19#21455809C211yesmaximal, characteristic, complemented
20#485×D61C211yesmaximal, characteristic, complemented
21#21455671C211yesmaximal, characteristic, complemented
22#21455487C211yesmaximal, characteristic, complemented
23#21455448C211yesmaximal, characteristic, complemented
24#21455372C211yesmaximal, characteristic, complemented
25#21455138C211yesmaximal, characteristic, complemented
26#21455038C211yesmaximal, characteristic, complemented
27#21454697C211yesmaximal, characteristic, complemented
28#21454548C211yesmaximal, characteristic, complemented
29#21454350C211yesmaximal, characteristic, complemented
30#21454333C211yesmaximal, characteristic, complemented
31C61×#3323C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic
33C22×#11758224C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic
36C2×#14519798C2211yescharacteristic
37C2×#14519785C2211yescharacteristic, complemented
38C2×M16×D61C2211yescharacteristic
39#16840485C2211yescharacteristic, complemented
40#16840483C2211yescharacteristic, complemented
41#16840479—21no—
42#16840477C2211yescharacteristic
43#16840475—21no—
44#16840475C2211yescharacteristic
45#16840465C2211yescharacteristic, complemented
46#16840460C2211yescharacteristic, complemented
47#16840457—21no—
48#16840446C2211yescharacteristic
49#16840444—21no—
50D4×Dic122C2211yescharacteristic
51#16840425C2211yescharacteristic
52#16840420C2211yescharacteristic
53#16840418C2211yescharacteristic
54#16840416C2211yescharacteristic
55#16840412—21no—
56#16840411C2211yescharacteristic
57#16840410—21no—
58#16840406C2211yescharacteristic
59#16840402—21no—
60#16840399—21no—
61#16840392C2211yescharacteristic, complemented
62#16840351—21no—
63#16840348—21no—
64#16840342C2211yescharacteristic, complemented
65#16840341C2211yescharacteristic
66#16840339—21no—
67#16840334—21no—
68#16840332C2211yescharacteristic
69#16840297—21no—
70#16840290—21no—
71#16840275C2211yescharacteristic
72#16840271C2211yescharacteristic
73#16840268—21no—
74C2×#14519754—21no—
75C22⋊Q8×D61C2211yescharacteristic
76#16840244C2211yescharacteristic, complemented
77#16840243C2211yescharacteristic, complemented
78#16840241C2211yescharacteristic
79#117×D61C2211yescharacteristic
80#16840132C2211yescharacteristic, complemented
81#16840129C2211yescharacteristic, complemented
82#16840121C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840113C2211yescharacteristic, complemented
86#16840111C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840106C2211yescharacteristic, complemented
89#16840105C2211yescharacteristic, complemented
90#16840104C2211yescharacteristic
91#16840104C2211yescharacteristic, complemented
92#16840103C2211yescharacteristic
93#16840102C2211yescharacteristic, complemented
94#16840101C2211yescharacteristic, complemented
95#16840100C2211yescharacteristic
96#16840094C2211yescharacteristic, complemented
97#16840092C2211yescharacteristic, complemented
98#16840084C2211yescharacteristic, complemented
99#16840083C2211yescharacteristic, complemented
100#16840079C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840060C2211yescharacteristic, complemented
104#16840058C2211yescharacteristic, complemented
105#16840056C2211yescharacteristic, complemented
106#16840042C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840018C2211yescharacteristic
109#16840010C2211yescharacteristic
110#16840009C2211yescharacteristic, complemented
111#16840008C2211yescharacteristic
112#16840008C2211yescharacteristic, complemented
113#16840005C2211yescharacteristic, complemented
114#16840002C2211yescharacteristic, complemented
115#16840002C2211yescharacteristic, complemented
116#16840001C2211yescharacteristic, complemented
117#16840000C2211yescharacteristic, complemented
118#16839997C2211yescharacteristic, complemented
119#16839996C2211yescharacteristic, complemented
120#16839994C2211yescharacteristic, complemented
121#16839992C2211yescharacteristic, complemented
122#16839982C2211yescharacteristic, complemented
123#16839976C2211yescharacteristic, complemented
124#16839974C2211yescharacteristic, complemented
125#16839972C2211yescharacteristic, complemented
126#16839970C2211yescharacteristic, complemented
127#16839968C2211yescharacteristic, complemented
128#16839966C2211yescharacteristic, complemented
129#16839921C2211yescharacteristic
130#16839921C2211yescharacteristic
131#16839921C2211yescharacteristic, complemented
132#16839917C2211yescharacteristic
133#16839917C2211yescharacteristic, complemented
134#16839916C2211yescharacteristic, complemented
135#16839908C2211yescharacteristic
136#16839908C2211yescharacteristic
137#16839908C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839903C2211yescharacteristic
140#16839903C2211yescharacteristic, complemented
141#16839902C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147C4×#11758190C2211yescharacteristic, complemented
148SD16×Dic61C2211yescharacteristic, complemented
149#16839849C2211yescharacteristic, complemented
150#16839837C2211yescharacteristic
151#16839834C2211yescharacteristic
152#16839832C2211yescharacteristic, complemented
153#16839831C2211yescharacteristic
154#16839831C2211yescharacteristic, complemented
155C8×D244C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839801C2211yescharacteristic, complemented
158#107×D61C2211yescharacteristic, complemented
159#106×D61C2211yescharacteristic, complemented
160#16839787C2211yescharacteristic, complemented
161#16839772C2211yescharacteristic
162#16839772C2211yescharacteristic, complemented
163#16839770C2211yescharacteristic
164#16839769C2211yescharacteristic, complemented
165#16839769C2211yescharacteristic, complemented
166#16839767C2211yescharacteristic
167#16839762C2211yescharacteristic, complemented
168#16839760C2211yescharacteristic
169#16839760C2211yescharacteristic
170#16839760C2211yescharacteristic
171#16839760C2211yescharacteristic
172#16839760C2211yescharacteristic, complemented
173#16839758C2211yescharacteristic, complemented
174#16839755C2211yescharacteristic
175#16839755C2211yescharacteristic
176#16839755C2211yescharacteristic
177#16839755C2211yescharacteristic
178#16839755C2211yescharacteristic
179#16839755C2211yescharacteristic
180#16839755C2211yescharacteristic, complemented
181C2×#14519700C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic
187#16839716C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic
192C61×#481C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic
195C61×#468C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C61×#417C2211yescharacteristic, complemented
203#14519824—24no—
204#14519824—42no—
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—24no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—42no—
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C22×Dic122—21no—
220C22×Dic122C2311yescharacteristic
221C22×Dic122C2311yescharacteristic
222C2×Q8×D61C2311yescharacteristic
223C2×Q8×D61C2311yescharacteristic
224C22×C22⋊D61—21no—
225C23×Dic61—21no—
226C22×C4×D61C2311yescharacteristic
227#14519809—42no—
228#14519798—24no—
229#14519798—42no—
230C2×#11758202C2311yescharacteristic
231C2×#11758202C2311yescharacteristic
232C2×#11758202C2311yescharacteristic
233C2×#11758190C2311yescharacteristic
234C2×#11758190C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239#14519785—42no—
240C2×#11758194C2311yescharacteristic
241C2×#11758189C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244M16×D61—42no—
245C22×#92418C2311yescharacteristic
246C2×C8×D61C2311yescharacteristic
247C2×C8×D61C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251#14519777C2311yescharacteristic
252#14519777C2311yescharacteristic
253#14519776—21no—
254#14519776—21no—
255#14519776—21no—
256#14519776C2311yescharacteristic
257#14519775C2311yescharacteristic
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772—21no—
263#14519770—21no—
264#14519770—21no—
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519765—21no—
269#14519765—21no—
270#14519764C2311yescharacteristic
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762D411yescharacteristic
281#14519761—21no—
282#14519761—21no—
283#14519760—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759D411yescharacteristic
288#14519758—21no—
289#14519758—21no—
290#14519757—21no—
291#14519757C2311yescharacteristic
292#14519757C2311yescharacteristic
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755D411yescharacteristic
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754D411yescharacteristic
310#14519753C2311yescharacteristic
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519752—21no—
314#14519752—21no—
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519751—21no—
318#14519751—21no—
319#14519751C2311yescharacteristic
320#14519751C2311yescharacteristic
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750D411yescharacteristic
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749D411yescharacteristic
332#14519748—21no—
333#14519748—21no—
334#14519748C2311yescharacteristic
335#14519747—21no—
336#14519747D411yescharacteristic
337#14519746—21no—
338#14519745D411yescharacteristic
339Q8×Dic61C2311yescharacteristic
340C4×Dic122—21no—
341C4×Dic122C2311yescharacteristic
342#14519742—21no—
343#14519742—21no—
344#14519742C2311yescharacteristic
345C4×D244—21no—
346C4×D244C2311yescharacteristic
347C4×D244C2311yescharacteristic
348D4×Dic61—21no—
349D4×Dic61—21no—
350D4×Dic61C2311yescharacteristic
351#14519739—21no—
352#14519739—21no—
353#14519739—21no—
354#14519739—21no—
355#14519739C2311yescharacteristic
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61C2311yescharacteristic
361C4×C22⋊D61C2311yescharacteristic
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519736C2311yescharacteristic
367#14519736C2311yescharacteristic
368#14519735—21no—
369#14519735—21no—
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519734—21no—
375#14519734—21no—
376#14519734—21no—
377#14519734C2311yescharacteristic
378#14519733—21no—
379#14519733—21no—
380C2×C4⋊Dic61—21no—
381C2×#11758196—21no—
382C2×#11758196—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61C2311yescharacteristic
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C4⋊C4×D61C2311yescharacteristic
389C2×C22⋊Dic61—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C42×D61—21no—
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519698C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C2×M16×C61C2311yescharacteristic
451#126×C61—21no—
452#125×C61—21no—
453#125×C61C2311yescharacteristic
454#124×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466#117×C61—21no—
467#117×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C4×C8×C61C2311yescharacteristic
487C24×C61—21no—
488C23×D61C2×D411yescharacteristic
489#41×C61—22no—
490#41×C61—41no—
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—22no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—41no—
498C2×D4×C61C2×D411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61C2411yescharacteristic
505C22×C4×C61C2411yescharacteristic
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—44no—
515C2×C22⋊D61C2×D411yescharacteristic
516C2×C22⋊D61C2×D411yescharacteristic
517C2×C22⋊D61C2×D411yescharacteristic
518C2×C22⋊D61C2×D411yescharacteristic
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—44no—
528C22×Dic61C2×D411yescharacteristic
529#11758226—22no—
530#11758226—22no—
531Q8×D61—22no—
532Q8×D61—22no—
533Q8×D61—22no—
534Q8×D61—41no—
535#11758224—22no—
536#11758224—22no—
537#11758224—22no—
538#11758224—22no—
539#11758224—22no—
540#11758224—22no—
541#11758224—41no—
542#11758224—41no—
543#11758224—41no—
544#11758224—44no—
545#11758224—44no—
546#11758224—44no—
547#11758224—44no—
548#11758224#4114yes—
549#11758222—22no—
550#11758222—22no—
551#11758222—44no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244C2×D411yescharacteristic
556C2×D244C2×D411yescharacteristic
557C2×D244C2411yescharacteristic
558C2×C4×D61—22no—
559C2×C4×D61—22no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61C2×D411yescharacteristic
570C2×C4×D61C2×D411yescharacteristic
571C2×C4×D61C2411yescharacteristic
572C2×C4×D61C2411yescharacteristic
573C2×C4×D61C2411yescharacteristic
574C2×Dic122—22no—
575C2×Dic122—22no—
576C2×Dic122—21no—
577C2×Dic122—21no—
578C2×Dic122—21no—
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122—21no—
582C2×Dic122—41no—
583C2×Dic122—41no—
584C2×Dic122—44no—
585C2×Dic122C2×D411yescharacteristic
586C2×Dic122C2411yescharacteristic
587C2×Dic122C2411yescharacteristic
588C2×Dic122C2411yescharacteristic
589Q16×C61—41no—
590SD16×C61—22no—
591SD16×C61—41no—
592M16×C61—41no—
593M16×C61—41no—
594C2×C8×C61C2411yescharacteristic
595C2×C8×C61C2411yescharacteristic
596C2×C8×C61C2411yescharacteristic
597C2×C8×C61C2411yescharacteristic
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61C2×D411yescharacteristic
606C4⋊C4×C61C2411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C22⋊C4×C61—21no—
611C22⋊C4×C61—21no—
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61C2×D411yescharacteristic
619C22⋊C4×C61C2×D411yescharacteristic
620C42×C61—21no—
621C42×C61—21no—
622C42×C61C2411yescharacteristic
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61C2×D411yescharacteristic
632C22⋊Dic61C2×D411yescharacteristic
633#11758202—22no—
634#11758202—41no—
635#11758202—41no—
636#11758201—41no—
637#11758199—22no—
638#11758199—41no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198C2×D411yescharacteristic
655#11758198C2×D411yescharacteristic
656#11758198C2×D411yescharacteristic
657#11758198C2×D411yescharacteristic
658#11758198C2×D411yescharacteristic
659#11758198C2×D411yescharacteristic
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61C2×D411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670C4⋊Dic61C2411yescharacteristic
671C4⋊Dic61C2411yescharacteristic
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196C2×D411yescharacteristic
688#11758196C2×D411yescharacteristic
689#11758196C2×D411yescharacteristic
690#11758196C2×D411yescharacteristic
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61C2411yescharacteristic
701#11758194—41no—
702C2×#92418—41no—
703C2×#92418C2411yescharacteristic
704C2×#92418C2411yescharacteristic
705C2×#92418C2411yescharacteristic
706C2×#92418C2411yescharacteristic
707#11758190—22no—
708#11758190—41no—
709#11758190—41no—
710#11758189—22no—
711#11758189—22no—
712#11758189—41no—
713C8×D61—22no—
714C8×D61—22no—
715C8×D61—41no—
716C8×D61—41no—
717C8×D61—41no—
718C23×C61—21no—
719C23×C61—21no—
720C23×C61—42no—
721C23×C61—42no—
722C23×C61—81no—
723C23×C61C22×D411yescharacteristic
724C23×C61C22×D411yescharacteristic
725C22×D61—22no—
726C22×D61—21no—
727C22×D61—41no—
728C22×D61—41no—
729C22×D61C22×D411yescharacteristic
730C22×D61C22×D411yescharacteristic
731C22×D61C22×D411yescharacteristic
732Q8×C61—21no—
733Q8×C61—21no—
734Q8×C61—21no—
735Q8×C61—21no—
736D4×C61—21no—
737D4×C61—21no—
738D4×C61—21no—
739D4×C61—41no—
740D4×C61—42no—
741D4×C61—42no—
742D4×C61—81no—
743D4×C61C2×#4112yes—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—42no—
755C2×C4×C61—81no—
756C2×C4×C61—81no—
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C2511yescharacteristic
762C22⋊D61—22no—
763C22⋊D61—24no—
764C22⋊D61—22no—
765C22⋊D61—41no—
766C22⋊D61—41no—
767C22⋊D61—42no—
768C22⋊D61—42no—
769C22⋊D61—42no—
770C22⋊D61—42no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C2×Dic61—21no—
775C2×Dic61—24no—
776C2×Dic61—22no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—42no—
784C2×Dic61—42no—
785C2×Dic61—42no—
786C2×Dic61—42no—
787C2×Dic61—42no—
788C2×Dic61—42no—
789C2×Dic61—81no—
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795D244—22no—
796D244—21no—
797D244—21no—
798D244—41no—
799D244—42no—
800D244—81no—
801D244—81no—
802C4×D61—22no—
803C4×D61—21no—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—21no—
807C4×D61—22no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817C4×D61C2×#4112yes—
818C4×D61H(5,𝔽2)12yes—
819Dic122—21no—
820Dic122—22no—
821Dic122—21no—
822Dic122—21no—
823Dic122—21no—
824Dic122—21no—
825Dic122—42no—
826Dic122—42no—
827Dic122—42no—
828Dic122—42no—
829Dic122—81no—
830Dic122—81no—
831Dic122C2×#4112yes—
832C8×C61—21no—
833C8×C61—21no—
834C8×C61—21no—
835C8×C61—21no—
836#92418—21no—
837#92418—21no—
838#92418—21no—
839#92418—21no—
840#61197—611nomaximal, Sylow
841C22×C61—21no—
842C22×C61—21no—
843C22×C61—21no—
844C22×C61—21no—
845C22×C61—22no—
846C22×C61—21no—
847C22×C61—21no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—84no—
854C22×C61C23×D411yescharacteristic
855C2×D61—21no—
856C2×D61—21no—
857C2×D61—21no—
858C2×D61—21no—
859C2×D61—21no—
860C2×D61—21no—
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—82no—
867C2×D61#54612yes—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—21no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61C22×#4111yescharacteristic
879C4×C61C2×H(5,𝔽2)11yescharacteristic
880Dic61—21no—
881Dic61—21no—
882Dic61—21no—
883Dic61—22no—
884Dic61—21no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61#54612yes—
892#3493—611no—
893#3489—611no—
894#3329—611no—
895#3329—611no—
896#3323—611no—
897#3323D6111yescharacteristic, complemented
898#3319—611no—
899#3319—611no—
900#3313—611no—
901#3313—611no—
902#3312—611no—
903#3312—611no—
904#3307—611no—
905#3307—611no—
906#3302—611no—
907#3302—611no—
908#3301—611no—
909#3301—611no—
910#3137—611no—
911#3099—611no—
912C2×#485—611no—
913#3083—611no—
914#3061—611no—
915#3056—611no—
916#3046—611no—
917#3013—611no—
918#3002—611no—
919#2952—611no—
920#2933—611no—
921#2898—611no—
922#2896—611no—
923C2×C61—41no—
924C2×C61—41no—
925C2×C61—42no—
926C2×C61—81no—
927C2×C61C2×#54611yescharacteristic
928C2×C61#358411yescharacteristic
929C2×C61#358611yescharacteristic
930D61—22no—
931D61—41no—
932D61—41no—
933D61—81no—
934C2×2−1+4—611no—
935C22×#41—611no—
936C2×#137—611no—
937C2×#135—611no—
938C2×#135—611no—
939C2×#131—611no—
940C22×M16—611no—
941#556—611no—
942#556—611no—
943#556—1221no—
944#555—611no—
945#555—611no—
946#555—1221no—
947#553—611no—
948#553—611no—
949#553—1221no—
950#552—611no—
951#552—1221no—
952#552C2×D6111yescharacteristic
953D4×Q8—611no—
954D4×Q8—611no—
955#548—611no—
956#548—611no—
957#547—611no—
958#547—611no—
959#547—1221no—
960#547—1221no—
961#546—611no—
962#546—1221no—
963#546—1221no—
964#546C2×D6111yescharacteristic
965#544—611no—
966#538—1221no—
967#538—1221no—
968#537—611no—
969#537—611no—
970#537—1221no—
971#536—611no—
972#536—1221no—
973#529—1221no—
974#529—1221no—
975#525—611no—
976#525—611no—
977#525—1221no—
978C2×C22⋊Q8—611no—
979C2×C22⋊Q8—1221no—
980#520—611no—
981#520—611no—
982#520—611no—
983C2×#117—611no—
984#491—611no—
985#491—611no—
986#489—611no—
987#489—611no—
988#488—611no—
989#488C2×D6111yescharacteristic, complemented
990#487—611no—
991#487—611no—
992#485—611no—
993#485—611no—
994#485—611no—
995#485—611no—
996#485—611no—
997#485—611no—
998#485—611no—
999#485—611no—
1000#485—611no—
1001#485C2×D6111yescharacteristic
1002#483—611no—
1003#483—611no—
1004#482—611no—
1005#482—611no—
1006#481—611no—
1007#481C2×D6111yescharacteristic, complemented
1008#479—611no—
1009#479—611no—
1010#478—611no—
1011#478C2×D6111yescharacteristic, complemented
1012#477—611no—
1013#477—611no—
1014#474—611no—
1015#474—611no—
1016#470—611no—
1017#470C2×D6111yescharacteristic
1018#468—611no—
1019#468—611no—
1020#468—611no—
1021#468—611no—
1022#468—611no—
1023#468C2×D6111yescharacteristic, complemented
1024#467—611no—
1025#467—611no—
1026#467—611no—
1027#467—611no—
1028#466—611no—
1029#466—611no—
1030#465—611no—
1031#465—611no—
1032#464—611no—
1033#464C2×D6111yescharacteristic, complemented
1034#463—611no—
1035#463—611no—
1036#462—611no—
1037#462—611no—
1038#461—611no—
1039#461—611no—
1040#452—611no—
1041#452—611no—
1042#452—611no—
1043#452C2×D6111yescharacteristic, complemented
1044#451—611no—
1045#451—611no—
1046#451—611no—
1047#450C2×D6111yescharacteristic
1048#449—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#448—611no—
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#442—611no—
1057#442—611no—
1058#441—611no—
1059#441—611no—
1060C4×SD16—611no—
1061C4×SD16—611no—
1062C4×SD16—611no—
1063C4×SD16C2×D6111yescharacteristic, complemented
1064#436—611no—
1065#436C2×D6111yescharacteristic
1066#435—611no—
1067#435—611no—
1068#435—611no—
1069#435—611no—
1070C8×D4—611no—
1071C8×D4—611no—
1072#428—611no—
1073C2×#107—611no—
1074C2×#106—611no—
1075#424—611no—
1076#419—611no—
1077#419—611no—
1078#419—611no—
1079#419—611no—
1080#419—611no—
1081#418—611no—
1082#418C2×D6111yescharacteristic
1083#417—611no—
1084#417—611no—
1085#417—611no—
1086#417—611no—
1087#417—611no—
1088#417—611no—
1089#417C2×D6111yescharacteristic, complemented
1090#416—611no—
1091#416—611no—
1092#416—611no—
1093#416—611no—
1094#416—611no—
1095#416—611no—
1096#416—611no—
1097#416—611no—
1098C2×#103—611no—
1099C2×#103—611no—
1100C2×#103—611no—
1101C2×#103—611no—
1102#408—611no—
1103C2×C22⋊C8—611no—
1104#405—611no—
1105C61#6119711yescharacteristic, complemented, Sylow
11062−1+4—1224no—
11072−1+4—2442no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C2×#41—611no—
1111C2×#41—611no—
1112C2×#41—611no—
1113C2×#41—611no—
1114C2×#41—611no—
1115C2×#41—1221no—
1116C2×#41—1221no—
1117C2×#41—1221no—
1118C2×#41—1221no—
1119C2×#41—1221no—
1120C2×#41—1224no—
1121C2×#41—2442no—
1122C2×#41C22×D6111yescharacteristic
1123C22×Q8—611no—
1124C22×Q8—611no—
1125C22×Q8—611no—
1126C22×Q8—611no—
1127C22×Q8—1221no—
1128C22×D4—1221no—
1129C22×D4C22×D6111yescharacteristic
1130C23×C4—611no—
1131C23×C4—1221no—
1132#137—2442no—
1133#135—1224no—
1134#135—2442no—
1135C2×Q16—611no—
1136C2×Q16—611no—
1137C2×Q16—611no—
1138C2×Q16C22×D6111yescharacteristic
1139C2×SD16—611no—
1140C2×SD16—611no—
1141C2×SD16—611no—
1142C2×SD16—611no—
1143C2×SD16C22×D6111yescharacteristic
1144C2×SD16C22×D6111yescharacteristic
1145C2×D8—611no—
1146C2×D8—611no—
1147#131—2442no—
1148C2×M16—611no—
1149C2×M16—611no—
1150C2×M16—611no—
1151C2×M16—611no—
1152C2×M16—2442no—
1153C2×M16C22×D6111yescharacteristic
1154C2×M16C22×D6111yescharacteristic
1155C22×C8—611no—
1156C22×C8—611no—
1157C22×C8—611no—
1158C22×C8—611no—
1159C22×C8—611no—
1160C22×C8—611no—
1161C4⋊Q8—611no—
1162C4⋊Q8—611no—
1163C4⋊Q8—611no—
1164C4⋊Q8—611no—
1165C4⋊Q8—1221no—
1166C4⋊Q8—1221no—
1167C4⋊Q8—1221no—
1168#126—21no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#126—1221no—
1175#126—1221no—
1176#125—21no—
1177#125—611no—
1178#125—1221no—
1179#125—1221no—
1180#125C22×D6111yescharacteristic
1181#124—611no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#124C22×D6111yescharacteristic
1191#123—21no—
1192#123—21no—
1193#123—611no—
1194#123—611no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—611no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8C22×D6111yescharacteristic
1230C22⋊Q8C22×D6111yescharacteristic
1231C22⋊Q8C22×D6111yescharacteristic
1232#121—21no—
1233#121—611no—
1234#121—611no—
1235#121—611no—
1236#121—611no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121C22×D6111yescharacteristic
1256#120—21no—
1257#120—611no—
1258#120—611no—
1259#120—1221no—
1260#120—1221no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8C22×D6111yescharacteristic
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4C22×D6111yescharacteristic
1290C4×D4C22×D6111yescharacteristic
1291#117—21no—
1292#117—611no—
1293#117—611no—
1294#117—611no—
1295#117—611no—
1296#117—611no—
1297#117—611no—
1298#117—611no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117C22×D6111yescharacteristic
1307C2×C4⋊C4—611no—
1308C2×C4⋊C4—611no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—611no—
1311C2×C4⋊C4—1221no—
1312C2×C4⋊C4—1221no—
1313C2×C4⋊C4—1221no—
1314C2×C4⋊C4—1221no—
1315C2×C4⋊C4—1221no—
1316C2×C4⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—1221no—
1319C2×C22⋊C4—1221no—
1320C2×C22⋊C4—1221no—
1321C2×C42—1221no—
1322#107—611no—
1323#107—611no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107C22×D6111yescharacteristic
1328#106—611no—
1329#106—611no—
1330#106—611no—
1331#106—611no—
1332#106C22×D6111yescharacteristic
1333#106C22×D6111yescharacteristic
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8C22×D6111yescharacteristic
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103C22×D6111yescharacteristic
1361#103C22×D6111yescharacteristic
1362#103C22×D6111yescharacteristic
1363#103C22×D6111yescharacteristic
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102C22×D6111yescharacteristic
1373#102C22×D6111yescharacteristic
1374#102C22×D6111yescharacteristic
1375#102C22×D6111yescharacteristic
1376#102C22×D6111yescharacteristic
1377#102C22×D6111yescharacteristic
1378C22⋊C8—611no—
1379C22⋊C8—611no—
1380C22⋊C8—611no—
1381C22⋊C8—611no—
1382C22⋊C8—611no—
1383C22⋊C8—611no—
1384C22⋊C8C22×D6111yescharacteristic
1385C22⋊C8C22×D6111yescharacteristic
1386#97—611no—
1387#97—611no—
1388C4×C8—611no—
1389C4×C8C22×D6111yescharacteristic
1390C24—21no—
1391C24—611no—
1392#41—22no—
1393#41—41no—
1394#41—614no—
1395#41—1222no—
1396#41—1222no—
1397#41—1222no—
1398#41—1222no—
1399#41—1222no—
1400#41—1222no—
1401#41—1222no—
1402#41—1222no—
1403#41—1222no—
1404#41—1222no—
1405#41—2444no—
1406#41—2444no—
1407#41—2441no—
1408#41—2441no—
1409#41—2441no—
1410#41—2444no—
1411#41—2444no—
1412#41—2444no—
1413C2×Q8—611no—
1414C2×Q8—611no—
1415C2×Q8—611no—
1416C2×Q8—611no—
1417C2×Q8—1221no—
1418C2×Q8—1221no—
1419C2×Q8—1221no—
1420C2×Q8—1222no—
1421C2×Q8—1222no—
1422C2×Q8—1222no—
1423C2×Q8—1222no—
1424C2×Q8—1221no—
1425C2×Q8—1221no—
1426C2×Q8—1221no—
1427C2×Q8—1222no—
1428C2×Q8—2441no—
1429C2×Q8—2441no—
1430C2×Q8—2444no—
1431C2×Q8—2441no—
1432C2×Q8C23×D6111yescharacteristic
1433C2×Q8C23×D6111yescharacteristic
1434C2×D4—22no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—41no—
1439C2×D4—611no—
1440C2×D4—611no—
1441C2×D4—611no—
1442C2×D4—611no—
1443C2×D4—611no—
1444C2×D4—611no—
1445C2×D4—611no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—1221no—
1450C2×D4—1221no—
1451C2×D4—1221no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—2444no—
1458C2×D4D4×D6111yescharacteristic
1459C2×D4C23×D6111yescharacteristic
1460C2×D4C23×D6111yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—611no—
1465C22×C4—611no—
1466C22×C4—611no—
1467C22×C4—611no—
1468C22×C4—611no—
1469C22×C4—611no—
1470C22×C4—1222no—
1471C22×C4—1222no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4—1221no—
1478C22×C4—1221no—
1479C22×C4—1221no—
1480C22×C4—1221no—
1481C22×C4—1221no—
1482C22×C4—1221no—
1483C22×C4—1221no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—1221no—
1488C22×C4—1221no—
1489C22×C4—2444no—
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492Q16—41no—
1493Q16—1222no—
1494Q16—2441no—
1495Q16—2441no—
1496SD16—22no—
1497SD16—41no—
1498SD16—1222no—
1499SD16—2441no—
1500SD16—2441no—
1501SD16—2441no—
1502D8—1222no—
1503D8—2441no—
1504M16—41no—
1505M16—41no—
1506M16—1222no—
1507M16—1222no—
1508M16—2441no—
1509M16—2441no—
1510C2×C8—611no—
1511C2×C8—611no—
1512C2×C8—611no—
1513C2×C8—611no—
1514C2×C8—1222no—
1515C2×C8—1222no—
1516C2×C8—2441no—
1517C2×C8—2441no—
1518C2×C8—2441no—
1519C2×C8—2441no—
1520C2×C8C23×D6111yescharacteristic
1521C2×C8C23×D6111yescharacteristic
1522C2×C8C23×D6111yescharacteristic
1523C2×C8C23×D6111yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—611no—
1532C4⋊C4—611no—
1533C4⋊C4—611no—
1534C4⋊C4—611no—
1535C4⋊C4—611no—
1536C4⋊C4—611no—
1537C4⋊C4—611no—
1538C4⋊C4—611no—
1539C4⋊C4—611no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4D4×D6111yescharacteristic
1563C4⋊C4C23×D6111yescharacteristic
1564C4⋊C4C23×D6111yescharacteristic
1565C4⋊C4C23×D6111yescharacteristic
1566C4⋊C4C23×D6111yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—611no—
1576C22⋊C4—611no—
1577C22⋊C4—611no—
1578C22⋊C4—611no—
1579C22⋊C4—611no—
1580C22⋊C4—611no—
1581C22⋊C4—611no—
1582C22⋊C4—611no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4D4×D6111yescharacteristic
1607C22⋊C4D4×D6111yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—611no—
1611C42—1221no—
1612C42—1221no—
1613C42—1221no—
1614C42—1221no—
1615C42—1221no—
1616C42—1221no—
1617C42—1221no—
1618C42—1221no—
1619C42—1221no—
1620C42C23×D6111yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—42no—
1624C23—42no—
1625C23—81no—
1626C23—611no—
1627C23—611no—
1628C23—611no—
1629C23—1222no—
1630C23—1221no—
1631C23—2441no—
1632C23—2441no—
1633C23C2×D4×D6111yescharacteristic
1634C23C2×D4×D6111yescharacteristic
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—612no—
1640Q8—1222no—
1641Q8—1221no—
1642Q8—1221no—
1643Q8—1221no—
1644Q8—1221no—
1645Q8—1221no—
1646Q8—4881no—
1647Q8—4881no—
1648Q8—2442no—
1649Q8—2442no—
1650Q8—2442no—
1651Q8—2442no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—41no—
1656D4—42no—
1657D4—42no—
1658D4—81no—
1659D4—1222no—
1660D4—1222no—
1661D4—1222no—
1662D4—1224no—
1663D4—1221no—
1664D4—1221no—
1665D4—4881no—
1666D4—4881no—
1667D4—4881no—
1668D4—4881no—
1669D4—4881no—
1670D4—2441no—
1671D4—2442no—
1672D4—2441no—
1673D4—2441no—
1674D4—2442no—
1675D4—2442no—
1676D4—2442no—
1677D4—2442no—
1678D4#41×D6112yes—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—42no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—611no—
1693C2×C4—612no—
1694C2×C4—612no—
1695C2×C4—611no—
1696C2×C4—611no—
1697C2×C4—611no—
1698C2×C4—611no—
1699C2×C4—1222no—
1700C2×C4—1222no—
1701C2×C4—1222no—
1702C2×C4—1224no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—1221no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—4881no—
1715C2×C4—4881no—
1716C2×C4—4881no—
1717C2×C4—4881no—
1718C2×C4—4881no—
1719C2×C4—4881no—
1720C2×C4—4881no—
1721C2×C4—2442no—
1722C2×C4—2442no—
1723C2×C4—2442no—
1724C2×C4—2442no—
1725C2×C4—2442no—
1726C2×C4—2442no—
1727C2×C4—2442no—
1728C2×C4—2442no—
1729C2×C4—2442no—
1730C2×C4C2×D4×D6111yescharacteristic
1731C2×C4C2×D4×D6111yescharacteristic
1732C2×C4C2×D4×D6111yescharacteristic
1733C2×C4C2×D4×D6111yescharacteristic
1734C2×C4C24×D6111yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—1221no—
1740C8—1221no—
1741C8—1221no—
1742C8—1221no—
1743C22—21no—
1744C22—21no—
1745C22—22no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—84no—
1756C22—612no—
1757C22—1221no—
1758C22—1221no—
1759C22—1221no—
1760C22—1221no—
1761C22—1221no—
1762C22—1221no—
1763C22—1221no—
1764C22—1221no—
1765C22—4882no—
1766C22—2441no—
1767C22—2441no—
1768C22—2441no—
1769C22C22×D4×D6111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—612no—
1781C4—1221no—
1782C4—1221no—
1783C4—1222no—
1784C4—1221no—
1785C4—1221no—
1786C4—2441no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4C2×#41×D6111yescharacteristic
1793C4H(5,𝔽2)×D6111yescharacteristic
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—81no—
1798C2—1222no—
1799C2—4881no—
1800C2—2441no—
1801C2—2441no—
1802C2#546×D6111yescharacteristic
1803C2#2146059111yescharacteristic
1804C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3323C2
socleC22×C61C23×D4
hypercenter#3323D61
hypocenterC61#61197
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #21459537C2semidirect
2. #21459490C2semidirect
3. #21458114C2semidirect
4. #21458111C2semidirect
5. #21458039C2semidirect
6. #21457976C2semidirect
7. #21457975C2semidirect
8. #21457892C2semidirect
9. #21457880C2semidirect
10. #21457865C2semidirect
11. #21457864C2semidirect
12. #21457796C2semidirect
13. #21457792C2semidirect
14. #21457738C2semidirect
15. #21457729C2semidirect
16. #21457720C2semidirect
17. #21457719C2semidirect
18. #21456183C2semidirect
19. #21455809C2semidirect
20. #485×D61C2semidirect
21. #21455671C2semidirect
22. #21455487C2semidirect
23. #21455448C2semidirect
24. #21455372C2semidirect
25. #21455138C2semidirect
26. #21455038C2semidirect
27. #21454697C2semidirect
28. #21454548C2semidirect
29. #21454350C2semidirect
30. #21454333C2semidirect
31. C61×#3323C2semidirect
34. C2×#14519809C22semidirect
37. C2×#14519785C22semidirect
39. #16840485C22semidirect
40. #16840483C22semidirect
45. #16840465C22semidirect
46. #16840460C22semidirect
61. #16840392C22semidirect
64. #16840342C22semidirect
76. #16840244C22semidirect
77. #16840243C22semidirect
80. #16840132C22semidirect
81. #16840129C22semidirect
82. #16840121C22semidirect
83. #16840120C22semidirect
84. #16840115C22semidirect
85. #16840113C22semidirect
86. #16840111C22semidirect
87. #16840106C22semidirect
88. #16840106C22semidirect
89. #16840105C22semidirect
91. #16840104C22semidirect
93. #16840102C22semidirect
94. #16840101C22semidirect
96. #16840094C22semidirect
97. #16840092C22semidirect
98. #16840084C22semidirect
99. #16840083C22semidirect
100. #16840079C22semidirect
101. #16840072C22semidirect
102. #16840066C22semidirect
103. #16840060C22semidirect
104. #16840058C22semidirect
105. #16840056C22semidirect
106. #16840042C22semidirect
107. #16840040C22semidirect
110. #16840009C22semidirect
112. #16840008C22semidirect
113. #16840005C22semidirect
114. #16840002C22semidirect
115. #16840002C22semidirect
116. #16840001C22semidirect
117. #16840000C22semidirect
118. #16839997C22semidirect
119. #16839996C22semidirect
120. #16839994C22semidirect
121. #16839992C22semidirect
122. #16839982C22semidirect
123. #16839976C22semidirect
124. #16839974C22semidirect
125. #16839972C22semidirect
126. #16839970C22semidirect
127. #16839968C22semidirect
128. #16839966C22semidirect
131. #16839921C22semidirect
133. #16839917C22semidirect
134. #16839916C22semidirect
137. #16839908C22semidirect
138. #16839907C22semidirect
140. #16839903C22semidirect
141. #16839902C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. C4×#11758190C22semidirect
148. SD16×Dic61C22semidirect
149. #16839849C22semidirect
152. #16839832C22semidirect
154. #16839831C22semidirect
155. C8×D244C22semidirect
156. #16839825C22semidirect
157. #16839801C22semidirect
158. #107×D61C22semidirect
159. #106×D61C22semidirect
160. #16839787C22semidirect
162. #16839772C22semidirect
164. #16839769C22semidirect
165. #16839769C22semidirect
167. #16839762C22semidirect
172. #16839760C22semidirect
173. #16839758C22semidirect
180. #16839755C22semidirect
181. C2×#14519700C22semidirect
182. #103×D61C22semidirect
183. #103×D61C22semidirect
184. #103×D61C22semidirect
185. #16839727C22semidirect
187. #16839716C22semidirect
190. C61×#488C22semidirect
192. C61×#481C22semidirect
193. C61×#478C22semidirect
195. C61×#468C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
199. C4×SD16×C61C22semidirect
202. C61×#417C22semidirect
897. #3323D61semidirect
989. #488C2×D61semidirect
1007. #481C2×D61semidirect
1011. #478C2×D61semidirect
1023. #468C2×D61semidirect
1033. #464C2×D61semidirect
1043. #452C2×D61semidirect
1063. C4×SD16C2×D61semidirect
1089. #417C2×D61semidirect
1105. C61#61197semidirect

Maximal subgroups

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

subgroupindex
#214595372
#214594902
#214581142
#214581112
#214580392
#214579762
#214579752
#214578922
#214578802
#214578652
#214578642
#214577962
#214577922
#214577382
#214577292
#214577202
#214577192
#214561832
#214558092
#485×D612
#214556712
#214554872
#214554482
#214553722
#214551382
#214550382
#214546972
#214545482
#214543502
#214543332
C61×#33232
#6119761