Finite Group Databasebeta

← #30575946

Subgroups — #30575946

Order 15616.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic, complemented
2#21459411C211yesmaximal, characteristic
3#21458783C211yesmaximal, characteristic, complemented
4#21458781C211yesmaximal, characteristic, complemented
5#21458590C211yesmaximal, characteristic, complemented
6#21458588C211yesmaximal, characteristic, complemented
7#21458377C211yesmaximal, characteristic, complemented
8#21458375C211yesmaximal, characteristic, complemented
9#21458362C211yesmaximal, characteristic, complemented
10#21458360C211yesmaximal, characteristic, complemented
11#21458343C211yesmaximal, characteristic, complemented
12#21458090C211yesmaximal, characteristic, complemented
13#21458082C211yesmaximal, characteristic, complemented
14#21457947C211yesmaximal, characteristic, complemented
15#21457939C211yesmaximal, characteristic, complemented
16#21457891C211yesmaximal, characteristic, complemented
17#21457883C211yesmaximal, characteristic, complemented
18#21457205C211yesmaximal, characteristic, complemented
19#21457187C211yesmaximal, characteristic, complemented
20#21457151C211yesmaximal, characteristic, complemented
21#21457052C211yesmaximal, characteristic, complemented
22#21457018C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455976C211yesmaximal, characteristic, complemented
25#21455947C211yesmaximal, characteristic, complemented
26#21455885C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28#21455622C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3349C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840494—21no—
34#16840489—21no—
35#16840489C2211yescharacteristic
36#16840488C2211yescharacteristic
37#16840487C2211yescharacteristic
38#16840484—21no—
39#16840483C2211yescharacteristic
40#16840480C2211yescharacteristic
41#16840479—21no—
42#16840463—21no—
43#16840463—21no—
44#16840456C2211yescharacteristic
45#16840456C2211yescharacteristic
46#16840454C2211yescharacteristic
47#16840452C2211yescharacteristic
48#16840449—21no—
49#16840447C2211yescharacteristic
50#16840445—21no—
51#16840433C2211yescharacteristic
52#16840422C2211yescharacteristic
53#16840422C2211yescharacteristic
54#16840371—21no—
55#16840369—21no—
56#16840334—21no—
57#16840318C2211yescharacteristic
58#16840316C2211yescharacteristic
59#16840315C2211yescharacteristic
60#16840314C2211yescharacteristic
61#16840314C2211yescharacteristic
62#16840313C2211yescharacteristic
63#16840311—21no—
64C2×#14519776C2211yescharacteristic
65#16840298C2211yescharacteristic
66#16840298C2211yescharacteristic
67#16840295—21no—
68#16840295—21no—
69#16840239—21no—
70C4×#11758226—21no—
71#16840230C2211yescharacteristic
72#16840230C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840163C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840128C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840123C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840103C2211yescharacteristic
87#16840103C2211yescharacteristic
88#16840100C2211yescharacteristic
89#16840095C2211yescharacteristic
90#16840094C2211yescharacteristic
91#16840091C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840089C2211yescharacteristic
94#16840088C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840086C2211yescharacteristic
98#16840081C2211yescharacteristic
99#16840080C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840070C2211yescharacteristic
104#16840069C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840068C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840066C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840061C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840056C2211yescharacteristic
114#16840055C2211yescharacteristic
115#16840054C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840045C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840041C2211yescharacteristic
128#16840018C2211yescharacteristic
129#16840011C2211yescharacteristic
130#16840011C2211yescharacteristic
131#16840010C2211yescharacteristic
132#16840009C2211yescharacteristic
133#16840009C2211yescharacteristic
134#16840008C2211yescharacteristic
135#16840001C2211yescharacteristic
136#16839993C2211yescharacteristic
137#16839991C2211yescharacteristic
138#16839987C2211yescharacteristic
139#16839987C2211yescharacteristic
140#16839986C2211yescharacteristic
141#16839986C2211yescharacteristic
142#16839971C2211yescharacteristic
143#16839970C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839966C2211yescharacteristic
146#16839963C2211yescharacteristic
147#16839962C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839926C2211yescharacteristic
150#16839922C2211yescharacteristic
151#16839922C2211yescharacteristic
152#16839919C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839868C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839866C2211yescharacteristic
161#16839865C2211yescharacteristic
162#16839861C2211yescharacteristic
163#16839856C2211yescharacteristic
164#16839854C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839847C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839798C2211yescharacteristic
179#16839785C2211yescharacteristic
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839764C2211yescharacteristic
185#16839761C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#485C2211yescharacteristic
193C61×#485C2211yescharacteristic
194C61×#484C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#477C2211yescharacteristic
197C61×#470C2211yescharacteristic
198C61×#467C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#427C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224D411yescharacteristic
207C22×Dic122—21no—
208C2×Q8×D61C2311yescharacteristic
209C2×Dic244C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519774C2311yescharacteristic
232#14519773—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519771—21no—
239#14519771—21no—
240#14519771—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519769—21no—
245#14519769C2311yescharacteristic
246#14519768—21no—
247#14519768—21no—
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519766—21no—
262#14519766C2311yescharacteristic
263#14519766C2311yescharacteristic
264#14519765—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519762—21no—
270#14519762—21no—
271#14519761—21no—
272#14519761—21no—
273#14519761—21no—
274#14519760—21no—
275#14519759—21no—
276#14519759—21no—
277#14519758—21no—
278#14519757C2311yescharacteristic
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519753C2311yescharacteristic
291#14519752—21no—
292#14519752C2311yescharacteristic
293#14519752C2311yescharacteristic
294#14519751C2311yescharacteristic
295#14519751C2311yescharacteristic
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302Q8×Dic61—21no—
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742D411yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328C4×D244—21no—
329C4×D244—21no—
330C4×D244—21no—
331D4×Dic61D411yescharacteristic
332#14519739—21no—
333#14519739—21no—
334#14519739—21no—
335#14519739—21no—
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737D411yescharacteristic
349#14519737D411yescharacteristic
350#14519736—21no—
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735D411yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519734—21no—
359#14519734—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364#14519733D411yescharacteristic
365#14519733D411yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C2×#11758196—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#126×C61—21no—
441#126×C61—21no—
442#125×C61—21no—
443#125×C61C2311yescharacteristic
444#124×C61—21no—
445#123×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×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#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61C2×D411yescharacteristic
482C22×C4×C61—21no—
483C22×C4×C61C2411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C2×C22⋊D61—21no—
486C2×C22⋊D61—21no—
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61C2×D411yescharacteristic
490C2×C22⋊D61C2×D411yescharacteristic
491C22×Dic61—21no—
492C22×Dic61C2×D411yescharacteristic
493C22×Dic61C2×D411yescharacteristic
494C22×Dic61C2×D411yescharacteristic
495C22×Dic61C2×D411yescharacteristic
496#11758226—44no—
497Q8×D61—22no—
498Q8×D61—41no—
499#11758224—42no—
500#11758222—22no—
501#11758222—22no—
502#11758222—41no—
503#11758222—41no—
504C2×D244—21no—
505C2×D244—21no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244C2411yescharacteristic
509C2×D244C2411yescharacteristic
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2×D411yescharacteristic
520C2×C4×D61C2411yescharacteristic
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—44no—
528C2×Dic122C2×D411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531Q16×C61—41no—
532M16×C61—41no—
533C2×C8×C61—41no—
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C2×C8×C61C2411yescharacteristic
537C2×C8×C61C2411yescharacteristic
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
563C22⋊C4×C61C2×D411yescharacteristic
564C42×C61—21no—
565C42×C61—21no—
566C42×C61—21no—
567C42×C61—21no—
568C42×C61—21no—
569C42×C61C2411yescharacteristic
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61C2×D411yescharacteristic
574C22⋊Dic61C2×D411yescharacteristic
575#11758202—22no—
576#11758202—41no—
577#11758201—41no—
578#11758201—41no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
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#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
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
667Dic244—22no—
668#11758190—41no—
669#11758190—41no—
670#11758189—41no—
671#11758189—41no—
672C23×C61C22×D411yescharacteristic
673C23×C61C22×D411yescharacteristic
674C22×D61—21no—
675C22×D61—21no—
676C22×D61C22×D411yescharacteristic
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—42no—
682D4×C61—41no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—42no—
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C2511yescharacteristic
701C22⋊D61—41no—
702C22⋊D61—41no—
703C22⋊D61—42no—
704C22⋊D61—42no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C2×Dic61—21no—
708C2×Dic61—22no—
709C2×Dic61—22no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—41no—
716C2×Dic61—41no—
717C2×Dic61—42no—
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725D244—21no—
726D244—21no—
727D244—21no—
728D244—21no—
729D244—42no—
730D244—42no—
731D244—42no—
732D244—81no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—22no—
736C4×D61—41no—
737C4×D61—42no—
738C4×D61—42no—
739C4×D61—42no—
740C4×D61—42no—
741C4×D61—42no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745Dic122—21no—
746Dic122—21no—
747Dic122—21no—
748Dic122—41no—
749Dic122—42no—
750Dic122—42no—
751Dic122—42no—
752Dic122—42no—
753Dic122—42no—
754Dic122—42no—
755Dic1222−1+412yes—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62118—611nomaximal, Sylow
765C22×C61—21no—
766C22×C61—21no—
767C22×C61—21no—
768C22×C61—21no—
769C22×C61—21no—
770C22×C61—21no—
771C22×C61C23×D411yescharacteristic
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—21no—
775C2×D61—41no—
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793C4×C61C2×2−1+411yescharacteristic
794C4×C61#58511yescharacteristic
795Dic61—21no—
796Dic61—21no—
797Dic61—21no—
798Dic61—22no—
799Dic61—21no—
800Dic61—21no—
801Dic61—21no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61#57512yes—
808#3509—611no—
809#3480—611no—
810#3390—611no—
811#3390—611no—
812#3371—611no—
813#3371—611no—
814#3351—611no—
815#3351—611no—
816#3350—611no—
817#3350—611no—
818#3349—611no—
819#3349D6111yescharacteristic, complemented
820#3327—611no—
821#3327—611no—
822#3317—611no—
823#3317—611no—
824#3313—611no—
825#3313—611no—
826#3254—611no—
827#3252—611no—
828#3248—611no—
829#3239—611no—
830#3235—611no—
831#3233—611no—
832#3116—611no—
833#3113—611no—
834#3107—611no—
835#3079—611no—
836#3078—611no—
837#3076—611no—
838#2989—611no—
839C2×C61—41no—
840C2×C61—41no—
841C2×C61#348911yescharacteristic
842C2×C61C2×#57511yescharacteristic
843C2×C61#358611yescharacteristic
844D61—41no—
845D61—81no—
846D61—81no—
847#559—611no—
848#559—1221no—
849#557—611no—
850#557—611no—
851#557—611no—
852#557—1221no—
853#556—611no—
854#556—611no—
855#556—1221no—
856#556—1221no—
857#556C2×D6111yescharacteristic
858#553—611no—
859#553—611no—
860#553—1221no—
861#553—1221no—
862#552—611no—
863#552—611no—
864#552—611no—
865#552—1221no—
866#552—1221no—
867#552C2×D6111yescharacteristic
868#550—611no—
869#548—611no—
870#548—611no—
871#541—1221no—
872#541—1221no—
873#536—1221no—
874#533—611no—
875#533—611no—
876#533—611no—
877#533—611no—
878#533—611no—
879#532—611no—
880#532—1221no—
881C2×C4⋊Q8—611no—
882#529—611no—
883#529—611no—
884#529—1221no—
885#529—1221no—
886#519—1221no—
887C4×#41—611no—
888C4×#41—611no—
889C4×#41—611no—
890C4×#41—1221no—
891C2×C4×Q8—611no—
892#501—611no—
893#501—611no—
894#501—611no—
895#501C2×D6111yescharacteristic
896#499—611no—
897#499—611no—
898#490—611no—
899#490—611no—
900#489—611no—
901#489—611no—
902#488—611no—
903#488—611no—
904#485—611no—
905#485—611no—
906#485—611no—
907#485C2×D6111yescharacteristic
908#485C2×D6111yescharacteristic
909#485C2×D6111yescharacteristic
910#484—611no—
911#484C2×D6111yescharacteristic
912#483—611no—
913#483—611no—
914#482—611no—
915#482—611no—
916#482—611no—
917#482—611no—
918#482—611no—
919#482—611no—
920#481—611no—
921#481—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479C2×D6111yescharacteristic
932#478—611no—
933#478—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477C2×D6111yescharacteristic
940#476—611no—
941#476—611no—
942#476—611no—
943#476—611no—
944#475—611no—
945#475—611no—
946#475—611no—
947#475—611no—
948#474—611no—
949#474—611no—
950#474—611no—
951#474—611no—
952#470—611no—
953#470C2×D6111yescharacteristic
954#468—611no—
955#468—611no—
956#468—611no—
957#468—611no—
958#468—611no—
959#468—611no—
960#467—611no—
961#467C2×D6111yescharacteristic
962#465—611no—
963#465—611no—
964#464—611no—
965#464—611no—
966#464—611no—
967#464—611no—
968#462—611no—
969#462—611no—
970#461—611no—
971#461—611no—
972#460—611no—
973#460—611no—
974#452—611no—
975#452—611no—
976#452—611no—
977#452—611no—
978#451—611no—
979#451—611no—
980#446—611no—
981#446—611no—
982#441—611no—
983#441—611no—
984#441—611no—
985#441—611no—
986#441—611no—
987#441C2×D6111yescharacteristic
988#440—611no—
989#440—611no—
990C4×Q16—611no—
991C4×Q16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435C2×D6111yescharacteristic
1000#432—611no—
1001#432—611no—
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428C2×D6111yescharacteristic
1007#427—611no—
1008#427C2×D6111yescharacteristic
1009#423—611no—
1010#423—611no—
1011C2×C4⋊C8—611no—
1012#419—611no—
1013#419—611no—
1014#417—611no—
1015#417—611no—
1016#416—611no—
1017#416—611no—
1018C61#6211811yescharacteristic, complemented, Sylow
1019C2×#41—611no—
1020C2×#41—611no—
1021C2×#41—611no—
1022C2×#41—1221no—
1023C22×Q8—611no—
1024C22×Q8—1221no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×Q16C22×D6111yescharacteristic
1029C2×SD16—611no—
1030C2×SD16—611no—
1031C2×SD16—611no—
1032C2×SD16—611no—
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16C22×D6111yescharacteristic
1037C22×C8—611no—
1038C22×C8C22×D6111yescharacteristic
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—1221no—
1046C4⋊Q8—1221no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8C22×D6111yescharacteristic
1051#127—611no—
1052#127—1221no—
1053#126—21no—
1054#126—21no—
1055#126—21no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#126—1221no—
1067#125—21no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125—1221no—
1085#125C22×D6111yescharacteristic
1086#124—21no—
1087#124—611no—
1088#124—611no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#123—21no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8C22×D6111yescharacteristic
1119C22⋊Q8C22×D6111yescharacteristic
1120C22⋊Q8C22×D6111yescharacteristic
1121C22⋊Q8C22×D6111yescharacteristic
1122#121—611no—
1123#121—611no—
1124#121—611no—
1125#121—611no—
1126#121—1221no—
1127#121—1221no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121—1221no—
1132#121—1221no—
1133C4×Q8—21no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8C22×D6111yescharacteristic
1161C4×Q8C22×D6111yescharacteristic
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4C22×D6111yescharacteristic
1185#117—21no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117C22×D6111yescharacteristic
1203#117C22×D6111yescharacteristic
1204#117C22×D6111yescharacteristic
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4C22×D6111yescharacteristic
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—1221no—
1214C2×C42—1221no—
1215C2×C42—1221no—
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107C22×D6111yescharacteristic
1224#107C22×D6111yescharacteristic
1225#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106C22×D6111yescharacteristic
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8C22×D6111yescharacteristic
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103C22×D6111yescharacteristic
1265#103C22×D6111yescharacteristic
1266#103C22×D6111yescharacteristic
1267#103C22×D6111yescharacteristic
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8C22×D6111yescharacteristic
1287C22⋊C8C22×D6111yescharacteristic
1288#97—611no—
1289#97—611no—
1290#97—611no—
1291#97C22×D6111yescharacteristic
1292C4×C8—611no—
1293C4×C8—611no—
1294#41—1222no—
1295#41—1222no—
1296#41—2441no—
1297#41—2441no—
1298#41—2442no—
1299#41—2444no—
1300C2×Q8—21no—
1301C2×Q8—611no—
1302C2×Q8—611no—
1303C2×Q8—611no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—1222no—
1311C2×Q8—2444no—
1312C2×Q8—2441no—
1313C2×Q8C23×D6111yescharacteristic
1314C2×Q8C23×D6111yescharacteristic
1315C2×D4—611no—
1316C2×D4—611no—
1317C2×D4—611no—
1318C2×D4—611no—
1319C2×D4—1221no—
1320C2×D4—1221no—
1321C2×D4—1221no—
1322C2×D4—1221no—
1323C2×D4—1221no—
1324C2×D4—1221no—
1325C2×D4—1221no—
1326C2×D4—1221no—
1327C2×D4D4×D6111yescharacteristic
1328C22×C4—21no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—611no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4—1221no—
1345C22×C4C23×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347Q16—41no—
1348Q16—1222no—
1349Q16—1222no—
1350Q16—2441no—
1351SD16—2441no—
1352SD16—2441no—
1353SD16—2441no—
1354SD16—2441no—
1355M16—41no—
1356M16—2441no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—41no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—611no—
1364C2×C8—2441no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1422C4⋊C4C23×D6111yescharacteristic
1423C4⋊C4C23×D6111yescharacteristic
1424C4⋊C4C23×D6111yescharacteristic
1425C4⋊C4C23×D6111yescharacteristic
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
1437C22⋊C4—611no—
1438C22⋊C4—611no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4D4×D6111yescharacteristic
1459C22⋊C4D4×D6111yescharacteristic
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—611no—
1466C42—611no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—611no—
1473C42—611no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42—1221no—
1487C42C23×D6111yescharacteristic
1488C23—611no—
1489C23—1221no—
1490C23—1221no—
1491C23C2×D4×D6111yescharacteristic
1492C23C2×D4×D6111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—21no—
1496Q8—21no—
1497Q8—42no—
1498Q8—612no—
1499Q8—1221no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—2441no—
1503Q8—2442no—
1504Q8—2442no—
1505Q8—2442no—
1506Q8—2442no—
1507Q8—2442no—
1508Q8—2442no—
1509D4—41no—
1510D4—1221no—
1511D4—1221no—
1512D4—1221no—
1513D4—1221no—
1514D4—4881no—
1515D4—4881no—
1516D4—4881no—
1517D4—2442no—
1518D4—2442no—
1519D4—2442no—
1520D4—2441no—
1521D4—2441no—
1522D4—2442no—
1523D4—2442no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—42no—
1537C2×C4—611no—
1538C2×C4—611no—
1539C2×C4—611no—
1540C2×C4—611no—
1541C2×C4—611no—
1542C2×C4—611no—
1543C2×C4—611no—
1544C2×C4—1222no—
1545C2×C4—1222no—
1546C2×C4—1222no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—4881no—
1556C2×C4—4881no—
1557C2×C4—4881no—
1558C2×C4—2441no—
1559C2×C4—2442no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2441no—
1565C2×C4—2441no—
1566C2×C4—2442no—
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—1221no—
1587C22—1221no—
1588C22—1221no—
1589C22—2441no—
1590C22—2441no—
1591C22—2441no—
1592C22—2441no—
1593C22—2441no—
1594C22—2441no—
1595C22C22×D4×D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—612no—
1609C4—1221no—
1610C4—1222no—
1611C4—1221no—
1612C4—1221no—
1613C4—1221no—
1614C4—1221no—
1615C4—1221no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C42−1+4×D6111yescharacteristic
1622C4#1684059811yescharacteristic
1623C2—41no—
1624C2—41no—
1625C2—4881no—
1626C2—4881no—
1627C2—2441no—
1628C2#2145949311yescharacteristic
1629C2#575×D6111yescharacteristic
1630C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3349C2
socleC22×C61C23×D4
prime radical#21459411C2
hypercenter#3349D61
hypocenterC61#62118
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3349

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458783C2semidirect
4. #21458781C2semidirect
5. #21458590C2semidirect
6. #21458588C2semidirect
7. #21458377C2semidirect
8. #21458375C2semidirect
9. #21458362C2semidirect
10. #21458360C2semidirect
11. #21458343C2semidirect
12. #21458090C2semidirect
13. #21458082C2semidirect
14. #21457947C2semidirect
15. #21457939C2semidirect
16. #21457891C2semidirect
17. #21457883C2semidirect
18. #21457205C2semidirect
19. #21457187C2semidirect
20. #21457151C2semidirect
21. #21457052C2semidirect
22. #21457018C2semidirect
23. #21457001C2semidirect
24. #21455976C2semidirect
25. #21455947C2semidirect
26. #21455885C2semidirect
27. #21455632C2semidirect
28. #21455622C2semidirect
29. #21455605C2semidirect
30. #21454931C2semidirect
31. C61×#3349C2semidirect
819. #3349D61semidirect
1018. C61#62118semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214594112
#214587832
#214587812
#214585902
#214585882
#214583772
#214583752
#214583622
#214583602
#214583432
#214580902
#214580822
#214579472
#214579392
#214578912
#214578832
#214572052
#214571872
#214571512
#214570522
#214570182
#214570012
#214559762
#214559472
#214558852
#214556322
#214556222
#214556052
#214549312
C61×#33492
#6211861