Finite Group Databasebeta

← #30577217

Subgroups — #30577217

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#21460465C211yesmaximal, characteristic, complemented
2#21459764C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458691C211yesmaximal, characteristic, complemented
5#21458590C211yesmaximal, characteristic, complemented
6#21458477C211yesmaximal, characteristic, complemented
7#21458407C211yesmaximal, characteristic, complemented
8#21458375C211yesmaximal, characteristic, complemented
9#21458349C211yesmaximal, characteristic, complemented
10#21458260C211yesmaximal, characteristic, complemented
11#21458214C211yesmaximal, characteristic, complemented
12#21458051C211yesmaximal, characteristic, complemented
13#21458033C211yesmaximal, characteristic, complemented
14#21458026C211yesmaximal, characteristic, complemented
15#21457970C211yesmaximal, characteristic, complemented
16#21457954C211yesmaximal, characteristic, complemented
17#21457652C211yesmaximal, characteristic, complemented
18#21457276C211yesmaximal, characteristic, complemented
19#21457234C211yesmaximal, characteristic, complemented
20#21457216C211yesmaximal, characteristic, complemented
21#21457121C211yesmaximal, characteristic, complemented
22#21457075C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21456102C211yesmaximal, characteristic, complemented
25#21455998C211yesmaximal, characteristic, complemented
26#21455863C211yesmaximal, characteristic, complemented
27#21455673C211yesmaximal, characteristic, complemented
28#21455648C211yesmaximal, characteristic, complemented
29#21455615C211yesmaximal, characteristic, complemented
30#21454965C211yesmaximal, characteristic, complemented
31C61×#3351C211yesmaximal, characteristic, complemented
32#16840515—21no—
33#16840507—21no—
34#16840497C2211yescharacteristic
35#16840489C2211yescharacteristic, complemented
36#16840482C2211yescharacteristic
37#16840479—21no—
38#16840476C2211yescharacteristic, complemented
39#16840469C2211yescharacteristic, complemented
40#16840468C2211yescharacteristic
41#16840465—21no—
42#16840459C2211yescharacteristic, complemented
43#16840456C2211yescharacteristic
44#16840452—21no—
45#16840451C2211yescharacteristic, complemented
46#16840447C2211yescharacteristic, complemented
47#16840437—21no—
48#16840436—21no—
49#16840413C2211yescharacteristic
50#16840404—21no—
51#16840403C2211yescharacteristic
52#16840403C2211yescharacteristic
53D4×D244C2211yescharacteristic
54#16840393C2211yescharacteristic, complemented
55#16840392C2211yescharacteristic, complemented
56#16840385C2211yescharacteristic
57#16840379—21no—
58#16840379C2211yescharacteristic, complemented
59#16840377—21no—
60#16840377C2211yescharacteristic, complemented
61#16840369—21no—
62#16840368C2211yescharacteristic
63#16840360—21no—
64#16840356—21no—
65#16840351—21no—
66#16840315C2211yescharacteristic, complemented
67#16840298C2211yescharacteristic
68#16840293C2211yescharacteristic, complemented
69#16840292C2211yescharacteristic
70#16840274—21no—
71#123×D61—21no—
72#16840244C2211yescharacteristic
73#16840236C2211yescharacteristic
74C2×#14519739C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840163C2211yescharacteristic, complemented
78#16840162C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic
81#16840123C2211yescharacteristic, complemented
82#16840118C2211yescharacteristic, complemented
83#16840118C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840109C2211yescharacteristic
86#16840103C2211yescharacteristic, complemented
87#16840100C2211yescharacteristic, complemented
88#16840100C2211yescharacteristic, complemented
89#16840097C2211yescharacteristic, complemented
90#16840094C2211yescharacteristic, complemented
91#16840089C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840082C2211yescharacteristic, complemented
97#16840080C2211yescharacteristic
98#16840079C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic, complemented
100#16840071C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840065C2211yescharacteristic
104#16840065C2211yescharacteristic
105#16840065C2211yescharacteristic, complemented
106#16840065C2211yescharacteristic, complemented
107#16840061C2211yescharacteristic
108#16840061C2211yescharacteristic
109#16840061C2211yescharacteristic, complemented
110#16840061C2211yescharacteristic, complemented
111#16840061C2211yescharacteristic, complemented
112#16840060C2211yescharacteristic, complemented
113#16840059C2211yescharacteristic
114#16840057C2211yescharacteristic, complemented
115#16840056C2211yescharacteristic, complemented
116#16840055C2211yescharacteristic, complemented
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic, complemented
119#16840051C2211yescharacteristic, complemented
120#16840051C2211yescharacteristic, complemented
121#16840045C2211yescharacteristic, complemented
122#16840043C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840018C2211yescharacteristic, complemented
129#16840014C2211yescharacteristic, complemented
130#16840013C2211yescharacteristic
131#16840009C2211yescharacteristic, complemented
132#16840008C2211yescharacteristic
133#16840008C2211yescharacteristic
134#16840001C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic, complemented
136#16839996C2211yescharacteristic
137#16839992C2211yescharacteristic, complemented
138#16839987C2211yescharacteristic, complemented
139#16839987C2211yescharacteristic, complemented
140#16839982C2211yescharacteristic, complemented
141#16839979C2211yescharacteristic, complemented
142#16839979C2211yescharacteristic, complemented
143#16839976C2211yescharacteristic
144#16839976C2211yescharacteristic, complemented
145#16839976C2211yescharacteristic, complemented
146#16839963C2211yescharacteristic
147#16839957C2211yescharacteristic
148#16839927C2211yescharacteristic
149#16839915C2211yescharacteristic
150#16839915C2211yescharacteristic
151#16839906C2211yescharacteristic
152#16839895C2211yescharacteristic
153#16839895C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155C8×Dic122C2211yescharacteristic, complemented
156#16839872C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839867C2211yescharacteristic, complemented
159#16839861C2211yescharacteristic, complemented
160C4×#11758190C2211yescharacteristic
161#16839849C2211yescharacteristic
162#16839849C2211yescharacteristic
163#16839849C2211yescharacteristic, complemented
164#16839842C2211yescharacteristic
165#16839842C2211yescharacteristic, complemented
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic
170#16839831C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic, complemented
172#16839821C2211yescharacteristic, complemented
173#16839820C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839798C2211yescharacteristic, complemented
178#107×D61C2211yescharacteristic, complemented
179#16839790C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839768C2211yescharacteristic
184#16839766C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839757C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#499C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#481C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#468C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic
201C61×#428C2211yescharacteristic, complemented
202C61×#428C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C2×D4×D61—21no—
208C22×C4×D61—21no—
209C2×#11758202C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519774C2311yescharacteristic
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772D411yescharacteristic
233#14519771—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770D411yescharacteristic
242#14519769—21no—
243#14519768—21no—
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767D411yescharacteristic
254#14519766C2311yescharacteristic
255#14519766C2311yescharacteristic
256#14519765—21no—
257#14519764—21no—
258#14519764—21no—
259#14519764—21no—
260#14519764C2311yescharacteristic
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763D411yescharacteristic
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519761—21no—
273#14519761D411yescharacteristic
274#14519760—21no—
275#14519760—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519758—21no—
281#14519758—21no—
282#14519758—21no—
283#14519758D411yescharacteristic
284#14519757—21no—
285#14519757—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519756—21no—
289#14519756—21no—
290#14519756—21no—
291#14519756—21no—
292#14519756C2311yescharacteristic
293#14519756C2311yescharacteristic
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754D411yescharacteristic
304#14519752—21no—
305#14519752—21no—
306#14519752—21no—
307#14519752—21no—
308#14519752—21no—
309#14519752C2311yescharacteristic
310#14519752C2311yescharacteristic
311#14519751C2311yescharacteristic
312#14519751C2311yescharacteristic
313#14519750—21no—
314#14519749—21no—
315#14519749D411yescharacteristic
316#14519748—21no—
317#14519748C2311yescharacteristic
318#14519747—21no—
319#14519747—21no—
320#14519747—21no—
321#14519747—21no—
322Q8×Dic61C2311yescharacteristic
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331C4×D244—21no—
332C4×D244—21no—
333C4×D244—21no—
334C4×D244—21no—
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337D4×Dic61—21no—
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350C4×C22⋊D61C2311yescharacteristic
351C4×C22⋊D61C2311yescharacteristic
352#14519737—21no—
353#14519737—21no—
354#14519736—21no—
355#14519736C2311yescharacteristic
356#14519736C2311yescharacteristic
357#14519736C2311yescharacteristic
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734C2311yescharacteristic
363#14519733—21no—
364#14519733—21no—
365C2×C4⋊Dic61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C2×C4×Dic61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438#126×C61—21no—
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61C2×D411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61C2×D411yescharacteristic
494C2×C22⋊D61C2×D411yescharacteristic
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61C2×D411yescharacteristic
498C22×Dic61C2×D411yescharacteristic
499#11758226—22no—
500#11758226—41no—
501D4×D61—82no—
502#11758222—82no—
503C2×D244—22no—
504C2×D244—22no—
505C2×D244—21no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—41no—
513C2×D244—41no—
514C2×D244C2411yescharacteristic
515C2×D244C2411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—82no—
529C2×C4×D61C2411yescharacteristic
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122C2×D411yescharacteristic
536C2×Dic122C2411yescharacteristic
537SD16×C61—41no—
538M16×C61—41no—
539M16×C61—41no—
540C2×C8×C61C2411yescharacteristic
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61C2×D411yescharacteristic
568C22⋊C4×C61C2×D411yescharacteristic
569C42×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61C2411yescharacteristic
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
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586#11758202—41no—
587#11758199—22no—
588#11758199—41no—
589#11758199—41no—
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#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661#11758194—41no—
662C2×#92418—41no—
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667#11758190—22no—
668#11758190—41no—
669#11758190—41no—
670#11758189—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C23×C61C22×D411yescharacteristic
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—42no—
679C22×D61—42no—
680C22×D61—42no—
681C22×D61—81no—
682C22×D61—81no—
683C22×D61—81no—
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—41no—
690D4×C61—81no—
691D4×C61—81no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
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—42no—
704C2×C4×C61—81no—
705C2×C4×C61—81no—
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C2511yescharacteristic
711C22⋊D61—41no—
712C22⋊D61—41no—
713C22⋊D61—42no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—41no—
722C2×Dic61—41no—
723C2×Dic61—81no—
724C2×Dic61—81no—
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732D244—21no—
733D244—21no—
734D244—21no—
735D244—21no—
736D244—21no—
737D244—42no—
738D244—42no—
739D244—42no—
740D244—81no—
741D244—81no—
742D244—81no—
743D244—81no—
744D2442−1+412yes—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—42no—
748C4×D61—81no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758Dic122—21no—
759Dic122—21no—
760Dic122—41no—
761Dic122—81no—
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—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61C23×D411yescharacteristic
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—22no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—84no—
798C2×D61—162no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61C2×2−1+411yescharacteristic
811C4×C61#58511yescharacteristic
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—21no—
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#3351D6111yescharacteristic, complemented
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#3118—611no—
850#3105—611no—
851#3083—611no—
852#3081—611no—
853#3077—611no—
854#2993—611no—
855C2×C61—41no—
856C2×C61—41no—
857C2×C61—81no—
858C2×C61#348911yescharacteristic
859C2×C61#358411yescharacteristic
860C2×C61#358511yescharacteristic
861D61—41no—
862D61—42no—
863D61—81no—
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—1221no—
877#553C2×D6111yescharacteristic
878#552—611no—
879#552—611no—
880#552—1221no—
881#552C2×D6111yescharacteristic
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—611no—
894#542—1221no—
895#542—1221no—
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#518—611no—
909C2×C4×D4—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#499C2×D6111yescharacteristic, complemented
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#483C2×D6111yescharacteristic, complemented
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#481C2×D6111yescharacteristic, complemented
939#480—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479C2×D6111yescharacteristic, complemented
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#478C2×D6111yescharacteristic, complemented
956#477—611no—
957#477—611no—
958#477—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#470—611no—
971#469—611no—
972#469—611no—
973#468—611no—
974#468—611no—
975#468—611no—
976#468C2×D6111yescharacteristic, complemented
977#468C2×D6111yescharacteristic, complemented
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#463—611no—
989#463—611no—
990#460—611no—
991#459—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#449—611no—
996#447—611no—
997#447—611no—
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#440—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16C2×D6111yescharacteristic, complemented
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8—611no—
1012#436—611no—
1013#436—611no—
1014#436C2×D6111yescharacteristic
1015#435—611no—
1016#435—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#431—611no—
1021#428—611no—
1022#428—611no—
1023#428C2×D6111yescharacteristic, complemented
1024#428C2×D6111yescharacteristic, complemented
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—611no—
1041C22×D4—1221no—
1042C23×C4—1221no—
1043C2×Q16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16C22×D6111yescharacteristic
1048C2×D8—611no—
1049C2×D8—611no—
1050C2×D8—611no—
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16C22×D6111yescharacteristic
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065#127—611no—
1066#126—21no—
1067#126—21no—
1068#126—611no—
1069#126—611no—
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—21no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#125C22×D6111yescharacteristic
1096#124—611no—
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#124—1221no—
1107#123—21no—
1108#123—21no—
1109#123—611no—
1110#123—611no—
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—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
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⋊Q8C22×D6111yescharacteristic
1149C22⋊Q8C22×D6111yescharacteristic
1150#121—21no—
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#121C22×D6111yescharacteristic
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—611no—
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—611no—
1193C4×D4—611no—
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×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
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—1221no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4C22×D6111yescharacteristic
1227C2×C4⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4—1221no—
1229C2×C22⋊C4—1221no—
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#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
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#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
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⋊C8—611no—
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#103C22×D6111yescharacteristic
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#102—611no—
1295#102—611no—
1296#102—611no—
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#97—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8C22×D6111yescharacteristic
1312C24—1221no—
1313C24—1221no—
1314#41—1222no—
1315#41—4882no—
1316#41—2441no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8C23×D6111yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—611no—
1328C2×D4—611no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
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×D4—2441no—
1347C2×D4D4×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
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—4882no—
1369C22×C4C23×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371Q16—2441no—
1372SD16—41no—
1373SD16—1222no—
1374SD16—2441no—
1375SD16—2441no—
1376D8—1222no—
1377D8—2441no—
1378D8—2441no—
1379M16—41no—
1380M16—41no—
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—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
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—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1440C4⋊C4C23×D6111yescharacteristic
1441C4⋊C4C23×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—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
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—21no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—611no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—4881no—
1512C23—4881no—
1513C23—4881no—
1514C23—2442no—
1515C23—2442no—
1516C23—2442no—
1517C23C2×D4×D6111yescharacteristic
1518C23C2×D4×D6111yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—1221no—
1522Q8—1221no—
1523Q8—4881no—
1524Q8—4881no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—2441no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—81no—
1533D4—81no—
1534D4—612no—
1535D4—1221no—
1536D4—1221no—
1537D4—1221no—
1538D4—1221no—
1539D4—1221no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—4881no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2441no—
1550D4—2441no—
1551D4—2442no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—42no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—4881no—
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—4881no—
1591C2×C4—4881no—
1592C2×C4—2442no—
1593C2×C4—2441no—
1594C2×C4—2441no—
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—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—1221no—
1618C22—1222no—
1619C22—1221no—
1620C22—1221no—
1621C22—9762no—
1622C22—4884no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—1221no—
1649C4—1221no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C42−1+4×D6111yescharacteristic
1656C4#1684059811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—4881no—
1661C2—4881no—
1662C2—2441no—
1663C2—2442no—
1664C2#2145949311yescharacteristic
1665C2#2146059111yescharacteristic
1666C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3351C2
socleC22×C61C23×D4
hypercenter#3351D61
hypocenterC61#62175
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #21460465C2semidirect
2. #21459764C2semidirect
3. #21458776C2semidirect
4. #21458691C2semidirect
5. #21458590C2semidirect
6. #21458477C2semidirect
7. #21458407C2semidirect
8. #21458375C2semidirect
9. #21458349C2semidirect
10. #21458260C2semidirect
11. #21458214C2semidirect
12. #21458051C2semidirect
13. #21458033C2semidirect
14. #21458026C2semidirect
15. #21457970C2semidirect
16. #21457954C2semidirect
17. #21457652C2semidirect
18. #21457276C2semidirect
19. #21457234C2semidirect
20. #21457216C2semidirect
21. #21457121C2semidirect
22. #21457075C2semidirect
23. #21457001C2semidirect
24. #21456102C2semidirect
25. #21455998C2semidirect
26. #21455863C2semidirect
27. #21455673C2semidirect
28. #21455648C2semidirect
29. #21455615C2semidirect
30. #21454965C2semidirect
31. C61×#3351C2semidirect
35. #16840489C22semidirect
38. #16840476C22semidirect
39. #16840469C22semidirect
42. #16840459C22semidirect
45. #16840451C22semidirect
46. #16840447C22semidirect
54. #16840393C22semidirect
55. #16840392C22semidirect
58. #16840379C22semidirect
60. #16840377C22semidirect
66. #16840315C22semidirect
68. #16840293C22semidirect
75. #16840172C22semidirect
76. #16840169C22semidirect
77. #16840163C22semidirect
78. #16840162C22semidirect
79. #16840159C22semidirect
81. #16840123C22semidirect
82. #16840118C22semidirect
83. #16840118C22semidirect
84. #16840118C22semidirect
86. #16840103C22semidirect
87. #16840100C22semidirect
88. #16840100C22semidirect
89. #16840097C22semidirect
90. #16840094C22semidirect
91. #16840089C22semidirect
92. #16840088C22semidirect
96. #16840082C22semidirect
98. #16840079C22semidirect
99. #16840077C22semidirect
100. #16840071C22semidirect
101. #16840068C22semidirect
102. #16840066C22semidirect
105. #16840065C22semidirect
106. #16840065C22semidirect
109. #16840061C22semidirect
110. #16840061C22semidirect
111. #16840061C22semidirect
112. #16840060C22semidirect
114. #16840057C22semidirect
115. #16840056C22semidirect
116. #16840055C22semidirect
118. #16840051C22semidirect
119. #16840051C22semidirect
120. #16840051C22semidirect
121. #16840045C22semidirect
125. #16840041C22semidirect
126. #16840041C22semidirect
127. #16840040C22semidirect
128. #16840018C22semidirect
129. #16840014C22semidirect
131. #16840009C22semidirect
134. #16840001C22semidirect
135. #16839997C22semidirect
137. #16839992C22semidirect
138. #16839987C22semidirect
139. #16839987C22semidirect
140. #16839982C22semidirect
141. #16839979C22semidirect
142. #16839979C22semidirect
144. #16839976C22semidirect
145. #16839976C22semidirect
154. #16839891C22semidirect
155. C8×Dic122C22semidirect
158. #16839867C22semidirect
159. #16839861C22semidirect
163. #16839849C22semidirect
165. #16839842C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
170. #16839831C22semidirect
171. #16839825C22semidirect
172. #16839821C22semidirect
173. #16839820C22semidirect
174. #16839812C22semidirect
175. #16839802C22semidirect
176. #16839801C22semidirect
177. #16839798C22semidirect
178. #107×D61C22semidirect
179. #16839790C22semidirect
180. #16839787C22semidirect
181. #16839785C22semidirect
190. C61×#499C22semidirect
191. C61×#485C22semidirect
192. C61×#483C22semidirect
193. C61×#482C22semidirect
194. C61×#481C22semidirect
195. C61×#479C22semidirect
196. C61×#478C22semidirect
197. C61×#468C22semidirect
198. C61×#468C22semidirect
199. C4×SD16×C61C22semidirect
201. C61×#428C22semidirect
202. C61×#428C22semidirect
832. #3351D61semidirect
914. #499C2×D61semidirect
925. #485C2×D61semidirect
928. #483C2×D61semidirect
934. #482C2×D61semidirect
938. #481C2×D61semidirect
943. #479C2×D61semidirect
955. #478C2×D61semidirect
976. #468C2×D61semidirect
977. #468C2×D61semidirect
1008. C4×SD16C2×D61semidirect
1023. #428C2×D61semidirect
1024. #428C2×D61semidirect
1036. C61#62175semidirect

Maximal subgroups

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

subgroupindex
#214604652
#214597642
#214587762
#214586912
#214585902
#214584772
#214584072
#214583752
#214583492
#214582602
#214582142
#214580512
#214580332
#214580262
#214579702
#214579542
#214576522
#214572762
#214572342
#214572162
#214571212
#214570752
#214570012
#214561022
#214559982
#214558632
#214556732
#214556482
#214556152
#214549652
C61×#33512
#6217561