Finite Group Databasebeta

← #30577214

Subgroups — #30577214

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460466C211yesmaximal, characteristic, complemented
2#21459747C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458692C211yesmaximal, characteristic, complemented
5#21458592C211yesmaximal, characteristic, complemented
6#21458480C211yesmaximal, characteristic, complemented
7#21458416C211yesmaximal, characteristic, complemented
8#21458377C211yesmaximal, characteristic, complemented
9#21458372C211yesmaximal, characteristic, complemented
10#21458353C211yesmaximal, characteristic, complemented
11#21458264C211yesmaximal, characteristic, complemented
12#21458214C211yesmaximal, characteristic, complemented
13#21458043C211yesmaximal, characteristic, complemented
14#21458040C211yesmaximal, characteristic, complemented
15#21458024C211yesmaximal, characteristic, complemented
16#21457980C211yesmaximal, characteristic, complemented
17#21457964C211yesmaximal, characteristic, complemented
18#21457658C211yesmaximal, characteristic, complemented
19#21457275C211yesmaximal, characteristic, complemented
20#21457235C211yesmaximal, characteristic, complemented
21#21457217C211yesmaximal, characteristic, complemented
22#21457119C211yesmaximal, characteristic, complemented
23#21457071C211yesmaximal, characteristic, complemented
24#21456997C211yesmaximal, characteristic, complemented
25#21456093C211yesmaximal, characteristic, complemented
26#21455865C211yesmaximal, characteristic, complemented
27#21455665C211yesmaximal, characteristic, complemented
28#21455650C211yesmaximal, characteristic, complemented
29#21455611C211yesmaximal, characteristic, complemented
30#21454962C211yesmaximal, characteristic, complemented
31C61×#3118C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840509—21no—
34#16840495C2211yescharacteristic
35#16840491C2211yescharacteristic, complemented
36#16840483C2211yescharacteristic
37#16840479—21no—
38#16840477C2211yescharacteristic, complemented
39#16840471C2211yescharacteristic, complemented
40#16840469C2211yescharacteristic
41#16840464C2211yescharacteristic
42#16840459C2211yescharacteristic, complemented
43#16840458—21no—
44#16840456C2211yescharacteristic
45#16840454C2211yescharacteristic, complemented
46#16840453C2211yescharacteristic, complemented
47#16840451C2211yescharacteristic
48#16840449—21no—
49#16840441—21no—
50#16840438—21no—
51#16840417C2211yescharacteristic
52#16840407C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840402—21no—
55D4×C22⋊D61C2211yescharacteristic
56#16840390C2211yescharacteristic, complemented
57#16840389C2211yescharacteristic, complemented
58#16840383C2211yescharacteristic
59#16840381—21no—
60#16840381C2211yescharacteristic, complemented
61#16840376—21no—
62#16840372—21no—
63#16840363C2211yescharacteristic
64#16840361—21no—
65#16840354—21no—
66#16840350—21no—
67#16840317C2211yescharacteristic, complemented
68#16840294C2211yescharacteristic
69#16840291C2211yescharacteristic, complemented
70#16840290C2211yescharacteristic
71#16840271—21no—
72C2×#14519759—21no—
73#16840241C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840162C2211yescharacteristic, complemented
78#16840162C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840160C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840122C2211yescharacteristic, complemented
83#16840117C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic
87#16840106C2211yescharacteristic, complemented
88#16840106C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840093C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840087C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840085C2211yescharacteristic
97#16840085C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic, complemented
99#16840081C2211yescharacteristic
100#16840079C2211yescharacteristic, complemented
101#16840079C2211yescharacteristic, complemented
102#16840074C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840068C2211yescharacteristic, complemented
105#16840067C2211yescharacteristic, complemented
106#16840067C2211yescharacteristic, complemented
107#16840065C2211yescharacteristic, complemented
108#16840065C2211yescharacteristic, complemented
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic, complemented
113#16840063C2211yescharacteristic, complemented
114#16840062C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840062C2211yescharacteristic, complemented
117#16840062C2211yescharacteristic, complemented
118#16840060C2211yescharacteristic, complemented
119#16840057C2211yescharacteristic, complemented
120#16840056C2211yescharacteristic, complemented
121#16840054C2211yescharacteristic, complemented
122#16840053C2211yescharacteristic, complemented
123#16840052C2211yescharacteristic
124#16840052C2211yescharacteristic, complemented
125#16840048C2211yescharacteristic, complemented
126#16840042C2211yescharacteristic
127#16840042C2211yescharacteristic, complemented
128#16840042C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic
130#16840039C2211yescharacteristic, complemented
131#16840019C2211yescharacteristic, complemented
132#16840012C2211yescharacteristic
133#16840012C2211yescharacteristic, complemented
134#16840011C2211yescharacteristic, complemented
135#16840010C2211yescharacteristic
136#16840007C2211yescharacteristic, complemented
137#16840006C2211yescharacteristic, complemented
138#16840005C2211yescharacteristic
139#16840001C2211yescharacteristic, complemented
140#16839997C2211yescharacteristic, complemented
141#16839996C2211yescharacteristic
142#16839988C2211yescharacteristic, complemented
143#16839984C2211yescharacteristic, complemented
144#16839982C2211yescharacteristic, complemented
145#16839981C2211yescharacteristic, complemented
146#16839977C2211yescharacteristic, complemented
147#16839975C2211yescharacteristic, complemented
148#16839974C2211yescharacteristic, complemented
149#16839960C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839894C2211yescharacteristic
155#16839890C2211yescharacteristic, complemented
156C8×Dic122C2211yescharacteristic, complemented
157#16839874C2211yescharacteristic
158#16839866C2211yescharacteristic, complemented
159#16839853C2211yescharacteristic, complemented
160SD16×Dic61C2211yescharacteristic
161SD16×Dic61C2211yescharacteristic
162#16839847C2211yescharacteristic, complemented
163D8×Dic61C2211yescharacteristic
164#16839842C2211yescharacteristic, complemented
165#16839841C2211yescharacteristic, complemented
166#16839837C2211yescharacteristic
167#16839837C2211yescharacteristic, complemented
168#16839835C2211yescharacteristic, complemented
169#16839830C2211yescharacteristic
170#16839825C2211yescharacteristic, complemented
171#16839822C2211yescharacteristic, complemented
172#16839814C2211yescharacteristic, complemented
173#16839805C2211yescharacteristic, complemented
174#16839803C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic, complemented
177#16839798C2211yescharacteristic, complemented
178#107×D61C2211yescharacteristic, complemented
179#16839789C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839767C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839755C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#542C2211yescharacteristic, complemented
189C61×#518C2211yescharacteristic
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#476C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic, complemented
196C61×#450C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758224C2311yescharacteristic
205C22×C22⋊D61—21no—
206C2×D4×D61C2311yescharacteristic
207C22×C4×D61—21no—
208C2×#11758202C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758201C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C22×#92418C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218#14519777—21no—
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519773C2311yescharacteristic
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519772D411yescharacteristic
230#14519771—21no—
231#14519771—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770D411yescharacteristic
240#14519769—21no—
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768—21no—
245#14519768—21no—
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767D411yescharacteristic
255#14519765C2311yescharacteristic
256#14519764C2311yescharacteristic
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763D411yescharacteristic
264#14519762—21no—
265#14519762D411yescharacteristic
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519761—21no—
270#14519760—21no—
271#14519760—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759D411yescharacteristic
282#14519758—21no—
283#14519758—21no—
284#14519757—21no—
285#14519757C2311yescharacteristic
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756C2311yescharacteristic
290#14519755—21no—
291#14519755—21no—
292#14519755D411yescharacteristic
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519753—21no—
301#14519753—21no—
302#14519753C2311yescharacteristic
303#14519753C2311yescharacteristic
304#14519752C2311yescharacteristic
305#14519751—21no—
306#14519751—21no—
307#14519751—21no—
308#14519751C2311yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750D411yescharacteristic
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519748—21no—
316#14519748C2311yescharacteristic
317#14519748C2311yescharacteristic
318#14519748C2311yescharacteristic
319#14519748C2311yescharacteristic
320#14519747—21no—
321#14519746—21no—
322#14519746—21no—
323#14519745—21no—
324Q8×Dic61—21no—
325Q8×Dic61C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742C2311yescharacteristic
333C4×D244—21no—
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336D4×Dic61—21no—
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519736—21no—
353#14519736—21no—
354#14519736C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519734—21no—
360#14519734C2311yescharacteristic
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364C2×C4⋊Dic61—21no—
365C2×C4⋊Dic61C2311yescharacteristic
366C2×#11758196—21no—
367C2×#11758196—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C2×C22⋊Dic61—21no—
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C42×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#124×C61—21no—
443#124×C61C2311yescharacteristic
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C22⋊C4×C61—21no—
459C2×C22⋊C4×C61—21no—
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—22no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—41no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—82no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513#11758224—22no—
514#11758224—41no—
515D4×D61—22no—
516D4×D61—41no—
517#11758222—82no—
518C2×D244—21no—
519C2×D244C2×D411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—82no—
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2411yescharacteristic
530C2×C4×D61C2411yescharacteristic
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122C2×D411yescharacteristic
536C2×Dic122C2411yescharacteristic
537SD16×C61—22no—
538SD16×C61—41no—
539D8×C61—22no—
540D8×C61—41no—
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2×D411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61C2×D411yescharacteristic
565C22⋊C4×C61C2×D411yescharacteristic
566C42×C61—21no—
567C42×C61—21no—
568C42×C61C2411yescharacteristic
569C42×C61C2411yescharacteristic
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61C2×D411yescharacteristic
583C22⋊Dic61C2×D411yescharacteristic
584#11758202—41no—
585#11758201—41no—
586#11758200—41no—
587#11758199—41no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198C2×D411yescharacteristic
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662#11758194—41no—
663C2×#92418—41no—
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758189—41no—
669#11758189—41no—
670#11758189—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—42no—
676C23×C61—81no—
677C23×C61—81no—
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—81no—
683C22×D61C22×D411yescharacteristic
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—81no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—42no—
694D4×C61—81no—
695D4×C612−1+412yes—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—81no—
704C2×C4×C61—81no—
705C2×C4×C61—81no—
706C2×C4×C61—81no—
707C2×C4×C61—81no—
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C2511yescharacteristic
714C22⋊D61—41no—
715C22⋊D61—41no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—42no—
733C2×Dic61—81no—
734C2×Dic61—81no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61—81no—
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744D244—21no—
745D244—21no—
746D244—41no—
747D244—81no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759Dic122—21no—
760Dic122—21no—
761Dic122—41no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62175—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—22no—
778C22×C61—21no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—162no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—84no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—21no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61C2×2−1+411yescharacteristic
810C4×C61#58511yescharacteristic
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824#3565—611no—
825#3513—611no—
826#3389—611no—
827#3381—611no—
828#3371—611no—
829#3361—611no—
830#3354—611no—
831#3351—611no—
832#3351—611no—
833#3349—611no—
834#3343—611no—
835#3339—611no—
836#3324—611no—
837#3323—611no—
838#3322—611no—
839#3319—611no—
840#3318—611no—
841#3296—611no—
842#3262—611no—
843#3257—611no—
844#3256—611no—
845#3244—611no—
846#3241—611no—
847#3233—611no—
848#3125—611no—
849#3118D6111yescharacteristic, complemented
850#3105—611no—
851#3083—611no—
852#3081—611no—
853#3077—611no—
854#2993—611no—
855C2×C61—42no—
856C2×C61—41no—
857C2×C61—81no—
858C2×C61—81no—
859C2×C61#348911yescharacteristic
860C2×C61#358411yescharacteristic
861C2×C61#358511yescharacteristic
862D61—41no—
863D61—41no—
864D61—81no—
865#563—1221no—
866#562—1221no—
867#559—611no—
868#557—611no—
869#556—611no—
870#556—1221no—
871#555—611no—
872#554—611no—
873#554—611no—
874#553—611no—
875#553—611no—
876#553—611no—
877#553—1221no—
878#552—611no—
879#552—611no—
880#552—611no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#547—611no—
885#546—611no—
886#546—611no—
887#546—1221no—
888D42—611no—
889#544—611no—
890#544—611no—
891#542—611no—
892#542—611no—
893#542—1221no—
894#542—1221no—
895#542C2×D6111yescharacteristic, complemented
896#541—1221no—
897#540—611no—
898#539—1221no—
899#539—1221no—
900#538—1221no—
901#533—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#525—1221no—
906C2×#123—1221no—
907#520—611no—
908#518C2×D6111yescharacteristic
909C2×C4×D4—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#498—611no—
916#490—611no—
917#489—611no—
918#488—611no—
919#488—611no—
920#488—611no—
921#486—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485C2×D6111yescharacteristic, complemented
926#484—611no—
927#483—611no—
928#483—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482C2×D6111yescharacteristic, complemented
935#481—611no—
936#481—611no—
937#481—611no—
938#481—611no—
939#480—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#477—611no—
957#477—611no—
958#477—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476C2×D6111yescharacteristic, complemented
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474C2×D6111yescharacteristic
970#470—611no—
971#469—611no—
972#469—611no—
973#468—611no—
974#468—611no—
975#468—611no—
976#468—611no—
977#468—611no—
978#467—611no—
979#466—611no—
980#466—611no—
981#465—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#463—611no—
986#463—611no—
987#463—611no—
988#463C2×D6111yescharacteristic
989#463C2×D6111yescharacteristic, complemented
990#460—611no—
991#459—611no—
992#452—611no—
993#450—611no—
994#450C2×D6111yescharacteristic
995#449—611no—
996#447—611no—
997#447C2×D6111yescharacteristic
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442C2×D6111yescharacteristic
1002#441—611no—
1003#440C2×D6111yescharacteristic, complemented
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16C2×D6111yescharacteristic
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8C2×D6111yescharacteristic, complemented
1012#436—611no—
1013#436—611no—
1014#436—611no—
1015#435—611no—
1016#435—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433C2×D6111yescharacteristic, complemented
1020#431—611no—
1021#428—611no—
1022#428—611no—
1023#428—611no—
1024#428—611no—
1025#427—611no—
1026C2×#107—611no—
1027#424—611no—
1028#424—611no—
1029#423—611no—
1030#418—611no—
1031#418—611no—
1032#418—611no—
1033#417—611no—
1034#416—611no—
1035C2×#102—611no—
1036C61#6217511yescharacteristic, complemented, Sylow
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×D4—611no—
1040C22×D4—1221no—
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—1221no—
1043C2×Q16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16C22×D6111yescharacteristic
1047C2×SD16C22×D6111yescharacteristic
1048C2×D8—611no—
1049C2×D8C22×D6111yescharacteristic
1050C2×D8C22×D6111yescharacteristic
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16—611no—
1054C2×M16—611no—
1055C22×C8—611no—
1056C22×C8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8C22×D6111yescharacteristic
1065#127—611no—
1066#126—21no—
1067#126—611no—
1068#126—611no—
1069#126—1221no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#124—21no—
1097#124—611no—
1098#124—611no—
1099#124—611no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—611no—
1109#123—611no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128C22⋊Q8—21no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8C22×D6111yescharacteristic
1150#121—611no—
1151#121—611no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121C22×D6111yescharacteristic
1167#120—1221no—
1168#120—1221no—
1169#120—1221no—
1170#120—1221no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8C22×D6111yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117C22×D6111yescharacteristic
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C42—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107C22×D6111yescharacteristic
1245#107C22×D6111yescharacteristic
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106C22×D6111yescharacteristic
1257#106C22×D6111yescharacteristic
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8C22×D6111yescharacteristic
1267C4⋊C8C22×D6111yescharacteristic
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8C22×D6111yescharacteristic
1305C22⋊C8C22×D6111yescharacteristic
1306#97—611no—
1307#97C22×D6111yescharacteristic
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8C22×D6111yescharacteristic
1312C24—21no—
1313C24—1221no—
1314#41—1222no—
1315#41—4882no—
1316#41—2441no—
1317C2×Q8—21no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8C23×D6111yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1222no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—4882no—
1345C2×D4—2441no—
1346C2×D4C23×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—4882no—
1370C22×C4C23×D6111yescharacteristic
1371Q16—2441no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2441no—
1375SD16—2441no—
1376D8—22no—
1377D8—41no—
1378D8—2441no—
1379M16—2441no—
1380M16—2441no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8C23×D6111yescharacteristic
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4D4×D6111yescharacteristic
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1489C22⋊C4D4×D6111yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42C23×D6111yescharacteristic
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—611no—
1513C23—611no—
1514C23—1221no—
1515C23—4881no—
1516C23—2442no—
1517C23—2442no—
1518C23C2×D4×D6111yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—1221no—
1523Q8—1221no—
1524Q8—4881no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—2441no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—1221no—
1537D4—1221no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—2441no—
1546D4—2441no—
1547D4—2441no—
1548D4—2442no—
1549D4—2442no—
1550D4—2442no—
1551D4#1451982412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—2441no—
1591C2×C4—2441no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C24×D6111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—162no—
1621C22—1221no—
1622C22—1221no—
1623C22—1221no—
1624C22—1221no—
1625C22—1221no—
1626C22—1221no—
1627C22—4884no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4C2×#1451982411yescharacteristic
1656C4#1684059811yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—4881no—
1662C2—2441no—
1663C2—2441no—
1664C2#2145949111yescharacteristic
1665C2#2146059111yescharacteristic
1666C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3118C2
socleC22×C61C23×D4
hypercenter#3118D61
hypocenterC61#62175
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #21460466C2semidirect
2. #21459747C2semidirect
3. #21458778C2semidirect
4. #21458692C2semidirect
5. #21458592C2semidirect
6. #21458480C2semidirect
7. #21458416C2semidirect
8. #21458377C2semidirect
9. #21458372C2semidirect
10. #21458353C2semidirect
11. #21458264C2semidirect
12. #21458214C2semidirect
13. #21458043C2semidirect
14. #21458040C2semidirect
15. #21458024C2semidirect
16. #21457980C2semidirect
17. #21457964C2semidirect
18. #21457658C2semidirect
19. #21457275C2semidirect
20. #21457235C2semidirect
21. #21457217C2semidirect
22. #21457119C2semidirect
23. #21457071C2semidirect
24. #21456997C2semidirect
25. #21456093C2semidirect
26. #21455865C2semidirect
27. #21455665C2semidirect
28. #21455650C2semidirect
29. #21455611C2semidirect
30. #21454962C2semidirect
31. C61×#3118C2semidirect
35. #16840491C22semidirect
38. #16840477C22semidirect
39. #16840471C22semidirect
42. #16840459C22semidirect
45. #16840454C22semidirect
46. #16840453C22semidirect
56. #16840390C22semidirect
57. #16840389C22semidirect
60. #16840381C22semidirect
67. #16840317C22semidirect
69. #16840291C22semidirect
75. #16840171C22semidirect
76. #16840169C22semidirect
77. #16840162C22semidirect
78. #16840162C22semidirect
79. #16840162C22semidirect
80. #16840160C22semidirect
82. #16840122C22semidirect
83. #16840117C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
87. #16840106C22semidirect
88. #16840106C22semidirect
89. #16840104C22semidirect
90. #16840096C22semidirect
91. #16840093C22semidirect
92. #16840091C22semidirect
93. #16840088C22semidirect
97. #16840085C22semidirect
98. #16840082C22semidirect
100. #16840079C22semidirect
101. #16840079C22semidirect
102. #16840074C22semidirect
103. #16840070C22semidirect
104. #16840068C22semidirect
105. #16840067C22semidirect
106. #16840067C22semidirect
107. #16840065C22semidirect
108. #16840065C22semidirect
112. #16840064C22semidirect
113. #16840063C22semidirect
116. #16840062C22semidirect
117. #16840062C22semidirect
118. #16840060C22semidirect
119. #16840057C22semidirect
120. #16840056C22semidirect
121. #16840054C22semidirect
122. #16840053C22semidirect
124. #16840052C22semidirect
125. #16840048C22semidirect
127. #16840042C22semidirect
128. #16840042C22semidirect
130. #16840039C22semidirect
131. #16840019C22semidirect
133. #16840012C22semidirect
134. #16840011C22semidirect
136. #16840007C22semidirect
137. #16840006C22semidirect
139. #16840001C22semidirect
140. #16839997C22semidirect
142. #16839988C22semidirect
143. #16839984C22semidirect
144. #16839982C22semidirect
145. #16839981C22semidirect
146. #16839977C22semidirect
147. #16839975C22semidirect
148. #16839974C22semidirect
155. #16839890C22semidirect
156. C8×Dic122C22semidirect
158. #16839866C22semidirect
159. #16839853C22semidirect
162. #16839847C22semidirect
164. #16839842C22semidirect
165. #16839841C22semidirect
167. #16839837C22semidirect
168. #16839835C22semidirect
170. #16839825C22semidirect
171. #16839822C22semidirect
172. #16839814C22semidirect
173. #16839805C22semidirect
174. #16839803C22semidirect
175. #16839803C22semidirect
176. #16839803C22semidirect
177. #16839798C22semidirect
178. #107×D61C22semidirect
179. #16839789C22semidirect
180. #16839787C22semidirect
181. #16839784C22semidirect
188. C61×#542C22semidirect
190. C61×#485C22semidirect
191. C61×#482C22semidirect
192. C61×#476C22semidirect
195. C61×#463C22semidirect
199. C61×#440C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#433C22semidirect
849. #3118D61semidirect
895. #542C2×D61semidirect
925. #485C2×D61semidirect
934. #482C2×D61semidirect
962. #476C2×D61semidirect
989. #463C2×D61semidirect
1003. #440C2×D61semidirect
1011. C4×D8C2×D61semidirect
1019. #433C2×D61semidirect
1036. C61#62175semidirect

Maximal subgroups

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

subgroupindex
#214604662
#214597472
#214587782
#214586922
#214585922
#214584802
#214584162
#214583772
#214583722
#214583532
#214582642
#214582142
#214580432
#214580402
#214580242
#214579802
#214579642
#214576582
#214572752
#214572352
#214572172
#214571192
#214570712
#214569972
#214560932
#214558652
#214556652
#214556502
#214556112
#214549622
C61×#31182
#6217561