Finite Group Databasebeta

← #30573463

Subgroups — #30573463

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460401C211yesmaximal, characteristic, complemented
2#21459827C211yesmaximal, characteristic, complemented
3#21458897C211yesmaximal, characteristic, complemented
4#21458891C211yesmaximal, characteristic, complemented
5#21458628C211yesmaximal, characteristic, complemented
6#21458557C211yesmaximal, characteristic, complemented
7#21458011C211yesmaximal, characteristic, complemented
8#21457968C211yesmaximal, characteristic, complemented
9#21457889C211yesmaximal, characteristic, complemented
10#21457855C211yesmaximal, characteristic, complemented
11#21457753C211yesmaximal, characteristic, complemented
12#21457737C211yesmaximal, characteristic, complemented
13#21457554C211yesmaximal, characteristic, complemented
14#21457397C211yesmaximal, characteristic, complemented
15#21457392C211yesmaximal, characteristic, complemented
16#21457375C211yesmaximal, characteristic, complemented
17#21457329C211yesmaximal, characteristic, complemented
18#21457238C211yesmaximal, characteristic, complemented
19#21457227C211yesmaximal, characteristic, complemented
20#21457149C211yesmaximal, characteristic, complemented
21#21456921C211yesmaximal, characteristic, complemented
22#21456909C211yesmaximal, characteristic, complemented
23#21456827C211yesmaximal, characteristic, complemented
24#21456113C211yesmaximal, characteristic, complemented
25#21456107C211yesmaximal, characteristic, complemented
26#21455921C211yesmaximal, characteristic, complemented
27#21455347C211yesmaximal, characteristic, complemented
28#21455337C211yesmaximal, characteristic, complemented
29#21455270C211yesmaximal, characteristic, complemented
30#21454952C211yesmaximal, characteristic, complemented
31C61×#3282C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519797C2211yescharacteristic, complemented
35C2×Q16×D61C2211yescharacteristic, complemented
36#16840507—21no—
37#16840501—21no—
38#16840494C2211yescharacteristic
39Q8×Dic122C2211yescharacteristic, complemented
40#16840483—21no—
41#16840483C2211yescharacteristic, complemented
42#16840482—21no—
43#16840482C2211yescharacteristic
44#16840482C2211yescharacteristic
45#16840481—21no—
46#16840481C2211yescharacteristic, complemented
47#16840476—21no—
48#16840476C2211yescharacteristic
49#16840457—21no—
50#16840438—21no—
51#16840430C2211yescharacteristic
52Q8×C22⋊D61C2211yescharacteristic
53#16840422C2211yescharacteristic
54#16840419C2211yescharacteristic
55#16840419C2211yescharacteristic, complemented
56#16840417C2211yescharacteristic
57#16840406C2211yescharacteristic
58#16840381—21no—
59#16840381C2211yescharacteristic, complemented
60#16840379—21no—
61#16840379C2211yescharacteristic
62#16840372C2211yescharacteristic
63#16840365—21no—
64#16840363C2211yescharacteristic
65#16840355—21no—
66#16840350—21no—
67#16840347—21no—
68#16840332C2211yescharacteristic
69#16840329C2211yescharacteristic
70#16840314—21no—
71#16840314C2211yescharacteristic, complemented
72#16840308C2211yescharacteristic
73#16840293C2211yescharacteristic
74#16840292—21no—
75#16840292C2211yescharacteristic
76#16840240C2211yescharacteristic
77#16840238C2211yescharacteristic, complemented
78#41×Dic61C2211yescharacteristic, complemented
79#16840157C2211yescharacteristic, complemented
80#16840155C2211yescharacteristic, complemented
81#16840153C2211yescharacteristic
82#16840150C2211yescharacteristic
83#16840145C2211yescharacteristic
84#16840123C2211yescharacteristic, complemented
85#16840121C2211yescharacteristic
86#16840120C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840113C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic
90#16840104C2211yescharacteristic
91#16840104C2211yescharacteristic, complemented
92#16840100C2211yescharacteristic
93#16840088C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic
95#16840083C2211yescharacteristic
96#16840072C2211yescharacteristic, complemented
97#16840071C2211yescharacteristic, complemented
98#16840067C2211yescharacteristic, complemented
99#16840060C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840052C2211yescharacteristic
102#16840046C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840043C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic
106#16840018C2211yescharacteristic
107#16840014C2211yescharacteristic, complemented
108#16840006C2211yescharacteristic
109#16840005C2211yescharacteristic
110#16840003C2211yescharacteristic
111#16840003C2211yescharacteristic, complemented
112#16840001C2211yescharacteristic, complemented
113#16839995C2211yescharacteristic
114#16839994C2211yescharacteristic, complemented
115#16839989C2211yescharacteristic
116#16839986C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic, complemented
119#16839982C2211yescharacteristic
120#16839982C2211yescharacteristic
121#16839982C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839982C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic
126#16839979C2211yescharacteristic, complemented
127#16839975C2211yescharacteristic
128#16839975C2211yescharacteristic
129#16839974C2211yescharacteristic, complemented
130#16839973C2211yescharacteristic, complemented
131#16839972C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839971C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839970C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic
137#16839965C2211yescharacteristic, complemented
138#16839961C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839960C2211yescharacteristic
141#16839960C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839926C2211yescharacteristic
145#16839926C2211yescharacteristic, complemented
146#16839924C2211yescharacteristic
147#16839924C2211yescharacteristic, complemented
148#16839922C2211yescharacteristic, complemented
149#16839921C2211yescharacteristic
150#16839918C2211yescharacteristic
151#16839916C2211yescharacteristic, complemented
152#16839913C2211yescharacteristic
153#16839905C2211yescharacteristic
154#16839904C2211yescharacteristic
155#16839902C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic
157#16839899C2211yescharacteristic, complemented
158#16839892C2211yescharacteristic, complemented
159#16839891C2211yescharacteristic, complemented
160#16839874C2211yescharacteristic
161#16839869C2211yescharacteristic, complemented
162#16839866C2211yescharacteristic, complemented
163#16839866C2211yescharacteristic, complemented
164#16839863C2211yescharacteristic
165#16839862C2211yescharacteristic
166#16839860C2211yescharacteristic, complemented
167#16839859C2211yescharacteristic, complemented
168Q16×Dic61C2211yescharacteristic, complemented
169#16839854C2211yescharacteristic, complemented
170C4×#11758190C2211yescharacteristic, complemented
171#16839836C2211yescharacteristic
172#16839834C2211yescharacteristic
173#16839833C2211yescharacteristic
174#16839830C2211yescharacteristic, complemented
175C8×C22⋊D61C2211yescharacteristic, complemented
176#16839821C2211yescharacteristic, complemented
177#16839820C2211yescharacteristic
178#16839816C2211yescharacteristic, complemented
179#16839788C2211yescharacteristic
180#16839787C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839767C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839759C2211yescharacteristic, complemented
186#16839758C2211yescharacteristic
187#16839755C2211yescharacteristic
188C2×#135×C61C2211yescharacteristic
189C22×SD16×C61C2211yescharacteristic
190C61×#548C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#495C2211yescharacteristic
193C61×#465C2211yescharacteristic
194C61×#465C2211yescharacteristic
195C61×#464C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#451C2211yescharacteristic
199C61×#449C2211yescharacteristic
200C61×#447C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C8×D4×C61C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208#14519808—42no—
209#14519806—42no—
210#14519797—42no—
211C2×Dic244C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218Q16×D61—42no—
219C2×#11758190C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758194C2311yescharacteristic
228C2×#11758189C2311yescharacteristic
229C22×#92418C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519777—21no—
232#14519777C2311yescharacteristic
233#14519777C2311yescharacteristic
234#14519776—21no—
235#14519776—21no—
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519775—21no—
239#14519775C2311yescharacteristic
240#14519775C2311yescharacteristic
241#14519773—21no—
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772D411yescharacteristic
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770D411yescharacteristic
259#14519768—21no—
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519767—21no—
263#14519767D411yescharacteristic
264#14519766C2311yescharacteristic
265#14519764—21no—
266#14519764—21no—
267#14519764—21no—
268#14519764—21no—
269#14519764—21no—
270#14519764C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763D411yescharacteristic
280#14519761—21no—
281#14519761—21no—
282#14519761D411yescharacteristic
283#14519760—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519758—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758D411yescharacteristic
294#14519756—21no—
295#14519756—21no—
296#14519756—21no—
297#14519756—21no—
298#14519756C2311yescharacteristic
299#14519756C2311yescharacteristic
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754D411yescharacteristic
310#14519753—21no—
311#14519753C2311yescharacteristic
312#14519752C2311yescharacteristic
313#14519751—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749D411yescharacteristic
323#14519748—21no—
324#14519748—21no—
325#14519748—21no—
326#14519748—21no—
327#14519748—21no—
328#14519748C2311yescharacteristic
329#14519748C2311yescharacteristic
330#14519746—21no—
331#14519746—21no—
332#14519746—21no—
333Q8×Dic61—21no—
334Q8×Dic61—21no—
335Q8×Dic61C2311yescharacteristic
336Q8×Dic61C2311yescharacteristic
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341C4×Dic122—21no—
342C4×Dic122—21no—
343C4×Dic122C2311yescharacteristic
344C4×Dic122C2311yescharacteristic
345#14519742—21no—
346#14519742—21no—
347#14519742—21no—
348#14519742—21no—
349#14519742C2311yescharacteristic
350#14519742C2311yescharacteristic
351#14519742C2311yescharacteristic
352C4×D244C2311yescharacteristic
353D4×Dic61—21no—
354D4×Dic61—21no—
355D4×Dic61—21no—
356D4×Dic61C2311yescharacteristic
357D4×Dic61C2311yescharacteristic
358D4×Dic61C2311yescharacteristic
359#14519739—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61C2311yescharacteristic
366C4×C22⋊D61C2311yescharacteristic
367#14519737—21no—
368#14519737—21no—
369#14519736—21no—
370#14519736—21no—
371#14519736—21no—
372#14519736—21no—
373#14519736C2311yescharacteristic
374#14519736C2311yescharacteristic
375#14519736C2311yescharacteristic
376#14519735—21no—
377#14519735C2311yescharacteristic
378#14519734—21no—
379#14519734C2311yescharacteristic
380#14519733—21no—
381#14519733—21no—
382#14519733—21no—
383#14519733—21no—
384C4⋊C4×D61—21no—
385C2×C22⋊Dic61—21no—
386C2×C4×Dic61—21no—
387C2×C4×Dic61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443#135×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×SD16×C61—42no—
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C22×C8×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456#124×C61—21no—
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462C22⋊Q8×C61C2311yescharacteristic
463#121×C61—21no—
464#121×C61—21no—
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#120×C61—21no—
468C4×Q8×C61C2311yescharacteristic
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#106×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—22no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—22no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—41no—
501C2×D4×C61—41no—
502C2×D4×C61C2×D411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61C2411yescharacteristic
511C22×C4×C61C2411yescharacteristic
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61C2×D411yescharacteristic
522C2×C22⋊D61C2×D411yescharacteristic
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61C2×D411yescharacteristic
528C22×Dic61C2×D411yescharacteristic
529Q8×D61—22no—
530Q8×D61—41no—
531Q8×D61—41no—
532Q8×D61—41no—
533#11758224—41no—
534#11758224—41no—
535#11758222—41no—
536#11758222—41no—
537#11758222—41no—
538#11758222—41no—
539C2×D244—21no—
540C2×D244C2411yescharacteristic
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122C2×D411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—22no—
557Q16×C61—41no—
558SD16×C61—22no—
559SD16×C61—22no—
560SD16×C61—41no—
561SD16×C61—41no—
562SD16×C61—41no—
563D8×C61—41no—
564D8×C61—41no—
565C2×C8×C61—41no—
566C2×C8×C61—41no—
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61C2×D411yescharacteristic
587C22⋊C4×C61C2×D411yescharacteristic
588C42×C61—21no—
589C42×C61C2411yescharacteristic
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61C2×D411yescharacteristic
610C22⋊Dic61C2×D411yescharacteristic
611C22⋊Dic61C2×D411yescharacteristic
612C22⋊Dic61C2×D411yescharacteristic
613#11758202—22no—
614#11758202—22no—
615#11758202—41no—
616#11758202—41no—
617#11758202—41no—
618#11758201—22no—
619#11758201—41no—
620#11758200—41no—
621#11758200—41no—
622#11758200—41no—
623#11758200—41no—
624#11758199—41no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61C2×D411yescharacteristic
646C4⋊Dic61C2×D411yescharacteristic
647C4⋊Dic61C2×D411yescharacteristic
648C4⋊Dic61C2411yescharacteristic
649C4⋊Dic61C2411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C4×Dic61C2411yescharacteristic
692#11758194—41no—
693C2×#92418—41no—
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698Dic244—41no—
699Dic244—41no—
700#11758190—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—81no—
707C23×C61—81no—
708C23×C61—81no—
709C23×C61C22×D411yescharacteristic
710C23×C61C22×D411yescharacteristic
711C22×D61—21no—
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—42no—
719Q8×C61H(5,𝔽2)12yes—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—41no—
727D4×C61—42no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—42no—
742C2×C4×C61—42no—
743C2×C4×C61—81no—
744C2×C4×C61—81no—
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C2511yescharacteristic
750C22⋊D61—41no—
751C22⋊D61—41no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—41no—
769C2×Dic61—41no—
770C2×Dic61—42no—
771C2×Dic61—81no—
772C2×Dic61—81no—
773C2×Dic61—81no—
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781D244—21no—
782D244—21no—
783D244—81no—
784C4×D61—21no—
785C4×D61—21no—
786C4×D61—42no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—21no—
797Dic122—41no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122—81no—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—162no—
828C22×C61C23×D411yescharacteristic
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—22no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61C2×H(5,𝔽2)11yescharacteristic
845C4×C61#58511yescharacteristic
846Dic61—21no—
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—41no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282D6111yescharacteristic, complemented
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—41no—
893C2×C61—81no—
894C2×C61—81no—
895C2×C61—81no—
896C2×C61#348811yescharacteristic
897C2×C61#358411yescharacteristic
898C2×C61#358611yescharacteristic
899D61—41no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135C2×D6111yescharacteristic
905C22×Q16—611no—
906C22×SD16C2×D6111yescharacteristic
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548C2×D6111yescharacteristic
928#547—611no—
929#546—611no—
930#546C2×D6111yescharacteristic
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495C2×D6111yescharacteristic
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465C2×D6111yescharacteristic
991#465C2×D6111yescharacteristic
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464—611no—
1002#464C2×D6111yescharacteristic
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463C2×D6111yescharacteristic
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452C2×D6111yescharacteristic
1029#451—611no—
1030#451—611no—
1031#451C2×D6111yescharacteristic
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449C2×D6111yescharacteristic
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447C2×D6111yescharacteristic
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16C2×D6111yescharacteristic
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4C2×D6111yescharacteristic
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41C22×D6111yescharacteristic
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8C22×D6111yescharacteristic
1081C22×D4C22×D6111yescharacteristic
1082#137—2442no—
1083#137—2442no—
1084#135—42no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—42no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16C22×D6111yescharacteristic
1105C2×SD16C22×D6111yescharacteristic
1106C2×SD16C22×D6111yescharacteristic
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8C22×D6111yescharacteristic
1111C2×D8C22×D6111yescharacteristic
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8C22×D6111yescharacteristic
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—611no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8—1221no—
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—611no—
1132#126—611no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—611no—
1172#123—611no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—21no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8C22×D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121C22×D6111yescharacteristic
1227#121C22×D6111yescharacteristic
1228#120—21no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—611no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8—1221no—
1250C4×Q8—1221no—
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8C22×D6111yescharacteristic
1354C24—21no—
1355#41—22no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—22no—
1367C2×Q8—41no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—611no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1221no—
1376C2×Q8—1221no—
1377C2×Q8—1222no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—611no—
1392C2×D4—611no—
1393C2×D4—611no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4D4×D6111yescharacteristic
1405C2×D4C23×D6111yescharacteristic
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—22no—
1427Q16—41no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—1222no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—41no—
1448D8—41no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—611no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—611no—
1555C42—611no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—81no—
1577C23—81no—
1578C23—81no—
1579C23—611no—
1580C23—1221no—
1581C23C2×D4×D6111yescharacteristic
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—42no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—4881no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8#1451982212yes—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—41no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—1221no—
1615D4—1221no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—4881no—
1626D4—2441no—
1627D4—2441no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—611no—
1647C2×C4—611no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—4881no—
1663C2×C4—4881no—
1664C2×C4—2442no—
1665C2×C4—2441no—
1666C2×C4—2441no—
1667C2×C4—2442no—
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—162no—
1697C22—1221no—
1698C22—1221no—
1699C22—1221no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—22no—
1707C4—21no—
1708C4—21no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—1221no—
1714C4—1221no—
1715C4—1221no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982211yescharacteristic
1728C4#1684059711yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—4881no—
1735C2—2441no—
1736C2#2145947911yescharacteristic
1737C2#2146058811yescharacteristic
1738C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3282C2
socleC22×C61C23×D4
hypercenter#3282D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #21460401C2semidirect
2. #21459827C2semidirect
3. #21458897C2semidirect
4. #21458891C2semidirect
5. #21458628C2semidirect
6. #21458557C2semidirect
7. #21458011C2semidirect
8. #21457968C2semidirect
9. #21457889C2semidirect
10. #21457855C2semidirect
11. #21457753C2semidirect
12. #21457737C2semidirect
13. #21457554C2semidirect
14. #21457397C2semidirect
15. #21457392C2semidirect
16. #21457375C2semidirect
17. #21457329C2semidirect
18. #21457238C2semidirect
19. #21457227C2semidirect
20. #21457149C2semidirect
21. #21456921C2semidirect
22. #21456909C2semidirect
23. #21456827C2semidirect
24. #21456113C2semidirect
25. #21456107C2semidirect
26. #21455921C2semidirect
27. #21455347C2semidirect
28. #21455337C2semidirect
29. #21455270C2semidirect
30. #21454952C2semidirect
31. C61×#3282C2semidirect
34. C2×#14519797C22semidirect
35. C2×Q16×D61C22semidirect
39. Q8×Dic122C22semidirect
41. #16840483C22semidirect
46. #16840481C22semidirect
55. #16840419C22semidirect
59. #16840381C22semidirect
71. #16840314C22semidirect
77. #16840238C22semidirect
78. #41×Dic61C22semidirect
79. #16840157C22semidirect
80. #16840155C22semidirect
84. #16840123C22semidirect
88. #16840113C22semidirect
91. #16840104C22semidirect
93. #16840088C22semidirect
96. #16840072C22semidirect
97. #16840071C22semidirect
98. #16840067C22semidirect
99. #16840060C22semidirect
100. #16840055C22semidirect
102. #16840046C22semidirect
103. #16840046C22semidirect
104. #16840043C22semidirect
107. #16840014C22semidirect
111. #16840003C22semidirect
112. #16840001C22semidirect
114. #16839994C22semidirect
116. #16839986C22semidirect
118. #16839983C22semidirect
124. #16839982C22semidirect
126. #16839979C22semidirect
129. #16839974C22semidirect
130. #16839973C22semidirect
131. #16839972C22semidirect
132. #16839971C22semidirect
133. #16839971C22semidirect
134. #16839970C22semidirect
135. #16839970C22semidirect
137. #16839965C22semidirect
145. #16839926C22semidirect
147. #16839924C22semidirect
148. #16839922C22semidirect
151. #16839916C22semidirect
155. #16839902C22semidirect
157. #16839899C22semidirect
158. #16839892C22semidirect
159. #16839891C22semidirect
161. #16839869C22semidirect
162. #16839866C22semidirect
163. #16839866C22semidirect
166. #16839860C22semidirect
167. #16839859C22semidirect
168. Q16×Dic61C22semidirect
169. #16839854C22semidirect
170. C4×#11758190C22semidirect
174. #16839830C22semidirect
175. C8×C22⋊D61C22semidirect
176. #16839821C22semidirect
178. #16839816C22semidirect
180. #16839787C22semidirect
181. C2×#14519706C22semidirect
182. #16839769C22semidirect
185. #16839759C22semidirect
873. #3282D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604012
#214598272
#214588972
#214588912
#214586282
#214585572
#214580112
#214579682
#214578892
#214578552
#214577532
#214577372
#214575542
#214573972
#214573922
#214573752
#214573292
#214572382
#214572272
#214571492
#214569212
#214569092
#214568272
#214561132
#214561072
#214559212
#214553472
#214553372
#214552702
#214549522
C61×#32822
#6201361