Finite Group Databasebeta

← #30550442

Subgroups — #30550442

Order 15616.

2006 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459724C211yesmaximal, characteristic, complemented
2#21459691C211yesmaximal, characteristic, complemented
3#21456554C211yesmaximal, characteristic, complemented
4#21456552C211yesmaximal, characteristic, complemented
5#21456534C211yesmaximal, characteristic, complemented
6#21456532C211yesmaximal, characteristic, complemented
7#21456509C211yesmaximal, characteristic, complemented
8#21456507C211yesmaximal, characteristic, complemented
9#21456504C211yesmaximal, characteristic, complemented
10#21456502C211yesmaximal, characteristic, complemented
11#21456501C211yesmaximal, characteristic, complemented
12#21456499C211yesmaximal, characteristic, complemented
13#21456496C211yesmaximal, characteristic, complemented
14#21456395C211yesmaximal, characteristic, complemented
15#21456393C211yesmaximal, characteristic, complemented
16#21456375C211yesmaximal, characteristic, complemented
17#21456373C211yesmaximal, characteristic, complemented
18#21456364C211yesmaximal, characteristic, complemented
19#21456268C211yesmaximal, characteristic, complemented
20#21456140C211yesmaximal, characteristic, complemented
21#486×D61C211yesmaximal, characteristic, complemented
22#21455498C211yesmaximal, characteristic, complemented
23#21455496C211yesmaximal, characteristic, complemented
24#21455494C211yesmaximal, characteristic, complemented
25#21455492C211yesmaximal, characteristic, complemented
26#21454650C211yesmaximal, characteristic, complemented
27#21454648C211yesmaximal, characteristic, complemented
28#21454646C211yesmaximal, characteristic, complemented
29#21454644C211yesmaximal, characteristic, complemented
30#21454241C211yesmaximal, characteristic, complemented
31C61×#3179C211yesmaximal, characteristic, complemented
32C2×#14519804C2211yescharacteristic
33C2×#14519804C2211yescharacteristic
34C2×#14519801C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36C2×#14519785C2211yescharacteristic
37C2×#14519783C2211yescharacteristic
38#16840496—21no—
39#16840496—21no—
40#16840479—21no—
41#16840474—21no—
42#16840466—21no—
43#16840463—21no—
44#16840457—21no—
45#16840430—21no—
46#16840430—21no—
47#16840422—21no—
48#16840420—21no—
49#16840410—21no—
50#16840404—21no—
51#16840404—21no—
52#16840401—21no—
53#16840401—21no—
54#16840386C2211yescharacteristic, complemented
55#16840383C2211yescharacteristic, complemented
56#16840381C2211yescharacteristic, complemented
57#16840368C2211yescharacteristic
58#16840367C2211yescharacteristic
59#16840366C2211yescharacteristic
60#16840342C2211yescharacteristic
61#16840341C2211yescharacteristic
62#16840328C2211yescharacteristic
63#16840328C2211yescharacteristic
64#16840318C2211yescharacteristic
65#16840316C2211yescharacteristic, complemented
66#16840314C2211yescharacteristic, complemented
67#16840311C2211yescharacteristic
68#16840309C2211yescharacteristic
69#16840309C2211yescharacteristic
70#16840309C2211yescharacteristic, complemented
71#16840307C2211yescharacteristic
72#16840307C2211yescharacteristic
73#16840307C2211yescharacteristic, complemented
74C4⋊Q8×D61C2211yescharacteristic
75#127×D61C2211yescharacteristic
76#16840244C2211yescharacteristic
77#16840241C2211yescharacteristic
78#16840234C2211yescharacteristic
79#16840234C2211yescharacteristic
80#16840230C2211yescharacteristic
81#16840172C2211yescharacteristic, complemented
82#16840171C2211yescharacteristic, complemented
83#16840168C2211yescharacteristic, complemented
84#16840166C2211yescharacteristic, complemented
85#16840166C2211yescharacteristic, complemented
86#16840159C2211yescharacteristic, complemented
87#16840159C2211yescharacteristic, complemented
88#16840152C2211yescharacteristic
89#16840151C2211yescharacteristic
90#16840149C2211yescharacteristic
91#16840137C2211yescharacteristic
92#16840137C2211yescharacteristic
93#16840133C2211yescharacteristic
94#16840133C2211yescharacteristic
95#16840119C2211yescharacteristic, complemented
96#16840117C2211yescharacteristic, complemented
97#16840116C2211yescharacteristic, complemented
98#16840111C2211yescharacteristic, complemented
99#16840111C2211yescharacteristic, complemented
100#16840110C2211yescharacteristic
101#16840109C2211yescharacteristic
102#16840108C2211yescharacteristic
103#16840107C2211yescharacteristic
104#16840107C2211yescharacteristic
105#16840107C2211yescharacteristic
106#16840107C2211yescharacteristic
107#16840107C2211yescharacteristic, complemented
108#16840107C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic, complemented
110#16840015C2211yescharacteristic, complemented
111#16840014C2211yescharacteristic, complemented
112#16840014C2211yescharacteristic, complemented
113#16840013C2211yescharacteristic, complemented
114#16840013C2211yescharacteristic, complemented
115#16840012C2211yescharacteristic, complemented
116#16840011C2211yescharacteristic, complemented
117#16840010C2211yescharacteristic, complemented
118#16840009C2211yescharacteristic, complemented
119#16840008C2211yescharacteristic, complemented
120#16840007C2211yescharacteristic, complemented
121#16840006C2211yescharacteristic, complemented
122#16840005C2211yescharacteristic, complemented
123#16839999C2211yescharacteristic, complemented
124#16839998C2211yescharacteristic, complemented
125#16839997C2211yescharacteristic, complemented
126#16839997C2211yescharacteristic, complemented
127#16839996C2211yescharacteristic, complemented
128#16839996C2211yescharacteristic, complemented
129#16839995C2211yescharacteristic, complemented
130#16839994C2211yescharacteristic, complemented
131#16839993C2211yescharacteristic, complemented
132#16839992C2211yescharacteristic, complemented
133#16839991C2211yescharacteristic, complemented
134#16839990C2211yescharacteristic, complemented
135#16839989C2211yescharacteristic, complemented
136#16839988C2211yescharacteristic, complemented
137#16839875C2211yescharacteristic, complemented
138#16839874C2211yescharacteristic, complemented
139#16839873C2211yescharacteristic, complemented
140#16839872C2211yescharacteristic, complemented
141#16839872C2211yescharacteristic, complemented
142#16839871C2211yescharacteristic, complemented
143#16839871C2211yescharacteristic, complemented
144#16839865C2211yescharacteristic, complemented
145#16839864C2211yescharacteristic, complemented
146#16839863C2211yescharacteristic, complemented
147#16839862C2211yescharacteristic, complemented
148#16839861C2211yescharacteristic, complemented
149#16839860C2211yescharacteristic, complemented
150#16839859C2211yescharacteristic, complemented
151#16839853C2211yescharacteristic, complemented
152C4×#11758190C2211yescharacteristic, complemented
153SD16×Dic61C2211yescharacteristic, complemented
154C4×#11758201C2211yescharacteristic, complemented
155#16839849C2211yescharacteristic, complemented
156C4×#11758200C2211yescharacteristic, complemented
157#16839847C2211yescharacteristic, complemented
158C4×D488C2211yescharacteristic, complemented
159D8×Dic61C2211yescharacteristic, complemented
160#16839844C2211yescharacteristic, complemented
161C4×#11758199C2211yescharacteristic, complemented
162C4×#11758199C2211yescharacteristic, complemented
163#16839842C2211yescharacteristic, complemented
164#16839842C2211yescharacteristic, complemented
165#16839803C2211yescharacteristic
166#16839803C2211yescharacteristic
167#16839801C2211yescharacteristic
168#16839801C2211yescharacteristic
169#16839757C2211yescharacteristic
170#16839757C2211yescharacteristic
171#16839755C2211yescharacteristic
172#16839755C2211yescharacteristic
173#102×D61C2211yescharacteristic
174#102×D61C2211yescharacteristic
175#102×D61C2211yescharacteristic
176#102×D61C2211yescharacteristic
177#16839719C2211yescharacteristic
178#16839719C2211yescharacteristic, complemented
179#16839718C2211yescharacteristic, complemented
180#16839716C2211yescharacteristic
181#16839716C2211yescharacteristic, complemented
182#16839714C2211yescharacteristic
183#16839714C2211yescharacteristic, complemented
184M16×Dic61C2211yescharacteristic, complemented
185C2×C8×Dic61C2211yescharacteristic, complemented
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic, complemented
189C61×#540C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#496C2211yescharacteristic
192C61×#488C2211yescharacteristic, complemented
193C61×#486C2211yescharacteristic
194C61×#469C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#466C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C61×#442C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#405C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224C2311yescharacteristic
212C2×Q8×D61—21no—
213C2×D4×D61—21no—
214C2×D4×D61—21no—
215C2×D4×D61C2311yescharacteristic
216C2×D4×D61C2311yescharacteristic
217#14519804—24no—
218#14519804—24no—
219#14519801—24no—
220#14519801—24no—
221C2×#11758190C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×D488C2311yescharacteristic
228C2×D488C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233#14519785—24no—
234#14519783—24no—
235C2×#11758194C2311yescharacteristic
236C2×#11758189C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C22×#92418C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519777C2311yescharacteristic
246#14519776—21no—
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519776C2311yescharacteristic
250#14519776C2311yescharacteristic
251#14519775—21no—
252#14519775C2311yescharacteristic
253#14519774C2311yescharacteristic
254#14519773—21no—
255#14519773—21no—
256#14519773—21no—
257#14519773—21no—
258#14519773C2311yescharacteristic
259#14519773C2311yescharacteristic
260#14519773C2311yescharacteristic
261#14519772—21no—
262#14519772—21no—
263#14519770—21no—
264#14519769C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519766—21no—
268#14519765C2311yescharacteristic
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519761—21no—
285#14519759—21no—
286#14519758—21no—
287#14519758—21no—
288#14519757C2311yescharacteristic
289#14519756C2311yescharacteristic
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519753—21no—
299#14519753C2311yescharacteristic
300#14519752—21no—
301#14519752—21no—
302#14519752—21no—
303#14519752C2311yescharacteristic
304#14519752C2311yescharacteristic
305#14519752C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519748—21no—
326#14519748C2311yescharacteristic
327#14519748C2311yescharacteristic
328#14519748C2311yescharacteristic
329#14519747—21no—
330#14519747—21no—
331#14519745—21no—
332#14519745—21no—
333Q8×Dic61C2311yescharacteristic
334C4×Dic122—21no—
335C4×Dic122C2311yescharacteristic
336#14519742—21no—
337#14519742—21no—
338#14519742—21no—
339#14519742D411yescharacteristic
340#14519742D411yescharacteristic
341#14519742C2311yescharacteristic
342C4×D244—21no—
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345C4×D244C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347D4×Dic61C2311yescharacteristic
348D4×Dic61C2311yescharacteristic
349#14519739—21no—
350#14519739D411yescharacteristic
351#14519739D411yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354#14519739C2311yescharacteristic
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519737—21no—
369#14519737D411yescharacteristic
370#14519737D411yescharacteristic
371#14519737D411yescharacteristic
372#14519737D411yescharacteristic
373#14519735C2311yescharacteristic
374#14519735C2311yescharacteristic
375#14519734—21no—
376#14519734—21no—
377#14519734C2311yescharacteristic
378#14519734C2311yescharacteristic
379#14519733—21no—
380#14519733—21no—
381C2×#11758196—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61C2311yescharacteristic
385C4⋊C4×D61C2311yescharacteristic
386C2×#11758198—21no—
387C2×#11758198—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C2×C4×Dic61C2311yescharacteristic
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#127×C61C2311yescharacteristic
449#126×C61—21no—
450#125×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454#123×C61—21no—
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61C2411yescharacteristic
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61C2×D411yescharacteristic
516C2×C22⋊D61C2×D411yescharacteristic
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61C2×D411yescharacteristic
522C22×Dic61C2×D411yescharacteristic
523#11758226—22no—
524#11758226—22no—
525Q8×D61—82no—
526#11758224—22no—
527#11758224—22no—
528#11758224—82no—
529#11758224—82no—
530#11758224—82no—
531D4×D61—22no—
532D4×D61—22no—
533D4×D61—22no—
534D4×D61—22no—
535D4×D61—82no—
536D4×D61—82no—
537#11758222—22no—
538#11758222—22no—
539#11758222—82no—
540#11758222—82no—
541#11758222—82no—
542C2×D244—21no—
543C2×D244—21no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244C2×D411yescharacteristic
549C2×D244C2411yescharacteristic
550C2×D244C2411yescharacteristic
551C2×D244C2411yescharacteristic
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61C2×D411yescharacteristic
562C2×C4×D61C2×D411yescharacteristic
563C2×C4×D61C2×D411yescharacteristic
564C2×C4×D61C2×D411yescharacteristic
565C2×C4×D61C2411yescharacteristic
566C2×C4×D61C2411yescharacteristic
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122—21no—
570C2×Dic122—21no—
571C2×Dic122—21no—
572C2×Dic122C2×D411yescharacteristic
573C2×Dic122C2411yescharacteristic
574SD16×C61—22no—
575SD16×C61—22no—
576D8×C61—22no—
577D8×C61—22no—
578M16×C61—22no—
579C2×C8×C61—22no—
580C2×C8×C61C2411yescharacteristic
581C2×C8×C61C2411yescharacteristic
582C2×C8×C61C2411yescharacteristic
583C2×C8×C61C2411yescharacteristic
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61C2×D411yescharacteristic
590C4⋊C4×C61C2×D411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61C2×D411yescharacteristic
605C22⋊C4×C61C2×D411yescharacteristic
606C42×C61—21no—
607C42×C61C2411yescharacteristic
608C42×C61C2411yescharacteristic
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616#11758201—22no—
617#11758201—22no—
618#11758200—22no—
619#11758200—22no—
620#11758199—22no—
621#11758199—22no—
622#11758199—22no—
623#11758199—22no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61C2411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652C4⋊Dic61C2411yescharacteristic
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61C2×D411yescharacteristic
677C4×Dic61C2×D411yescharacteristic
678C4×Dic61C2×D411yescharacteristic
679C4×Dic61C2×D411yescharacteristic
680C4×Dic61C2×D411yescharacteristic
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2411yescharacteristic
683C4×Dic61C2411yescharacteristic
684#11758194—22no—
685C2×#92418—22no—
686C2×#92418C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690D488—22no—
691D488—22no—
692#11758190—22no—
693#11758190—22no—
694#11758189—22no—
695#11758189—22no—
696#11758189#4114yescomplemented
697#11758189#4114yescomplemented
698C8×D61—22no—
699C8×D61—22no—
700C8×D61—22no—
701C8×D61—22no—
702C23×C61—21no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—42no—
710C22×D61—42no—
711C22×D61—81no—
712C22×D61—81no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61C22×D411yescharacteristic
716C22×D61C22×D411yescharacteristic
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—81no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—81no—
739C2×C4×C61—81no—
740C2×C4×C61—81no—
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C2511yescharacteristic
747C22⋊D61—22no—
748C22⋊D61—22no—
749C22⋊D61—42no—
750C22⋊D61—42no—
751C22⋊D61—42no—
752C22⋊D61—42no—
753C22⋊D61—42no—
754C22⋊D61—42no—
755C22⋊D61—42no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C2×Dic61—22no—
765C2×Dic61—22no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—42no—
772C2×Dic61—81no—
773C2×Dic61—81no—
774C2×Dic61—81no—
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781D244—22no—
782D244—21no—
783D244—21no—
784D244—21no—
785D244—21no—
786D244—21no—
787D244—21no—
788D244—42no—
789D244—81no—
790D244—81no—
791D244—81no—
792D244—81no—
793D244—81no—
794C4×D61—21no—
795C4×D61—21no—
796C4×D61—22no—
797C4×D61—22no—
798C4×D61—22no—
799C4×D61—22no—
800C4×D61—42no—
801C4×D61—81no—
802C4×D61—81no—
803C4×D61—81no—
804C4×D61—81no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61C2×#4112yes—
810C4×D61C2×#4112yes—
811Dic122—22no—
812Dic122—21no—
813Dic122—21no—
814Dic122—42no—
815Dic122—42no—
816Dic122—42no—
817Dic122—42no—
818Dic122—81no—
819C8×C61—21no—
820C8×C61—21no—
821C8×C61C2×#4112yes—
822C8×C61C2×#4112yes—
823#92418—21no—
824#92418—21no—
825#92418C2×#4112yes—
826#92418C2×#4112yes—
827#60722—611nomaximal, Sylow
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61C23×D411yescharacteristic
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—21no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—162no—
856C2×D61—162no—
857C2×D61#53212yes—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61C22×#4111yescharacteristic
869C4×C61C22×#4111yescharacteristic
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61#53212yes—
879Dic61#57612yes—
880Dic61#57712yes—
881#3511—611no—
882#3508—611no—
883#3184—611no—
884#3184—611no—
885#3182—611no—
886#3182—611no—
887#3179—611no—
888#3179—611no—
889#3179—611no—
890#3179—611no—
891#3179—611no—
892#3179—611no—
893#3179—611no—
894#3179D6111yescharacteristic, complemented
895#3169—611no—
896#3169—611no—
897#3167—611no—
898#3167—611no—
899#3165—611no—
900#3151—611no—
901#3131—611no—
902C2×#486—611no—
903#3062—611no—
904#3062—611no—
905#3062—611no—
906#3062—611no—
907#2946—611no—
908#2946—611no—
909#2946—611no—
910#2946—611no—
911C4×#131—611no—
912C2×C61—41no—
913C2×C61—81no—
914C2×C61—81no—
915C2×C61—81no—
916C2×C61C2×#53211yescharacteristic
917C2×C61C2×#57611yescharacteristic
918C2×C61C2×#57711yescharacteristic
919D61—22no—
920D61—41no—
921D61—81no—
922D61—81no—
923D61—81no—
924C2×AGL(1,ℤ/8)—611no—
925C2×AGL(1,ℤ/8)—611no—
926C2×AGL(1,ℤ/8)—611no—
927C2×AGL(1,ℤ/8)—611no—
928C2×#131—611no—
929C2×#131—611no—
930#559—1221no—
931#559—1221no—
932#556—1221no—
933#555—1221no—
934#554—1221no—
935#553—1221no—
936#553—1221no—
937#550—1221no—
938#550—1221no—
939#548—1221no—
940#548—1221no—
941#547—1221no—
942#546—1221no—
943#546—1221no—
944#546—1221no—
945#546—1221no—
946#542—611no—
947#542—611no—
948#542—611no—
949#542C2×D6111yescharacteristic, complemented
950#540—611no—
951#540—611no—
952#540—611no—
953#540C2×D6111yescharacteristic
954#537—611no—
955#537—611no—
956#535—611no—
957#535—611no—
958#533—611no—
959#533—611no—
960#533—611no—
961#532—611no—
962#532—611no—
963#532—611no—
964#532—611no—
965#532—611no—
966#532—611no—
967#532—611no—
968C2×C4⋊Q8—611no—
969C2×#127—611no—
970#520—611no—
971#520—611no—
972#518—611no—
973#518—611no—
974C4×#41—611no—
975#501—611no—
976#501—611no—
977#501—611no—
978#501C2×D6111yescharacteristic, complemented
979#500—611no—
980#500—611no—
981#498—611no—
982#498—611no—
983#496—611no—
984#496—611no—
985#496—611no—
986#496C2×D6111yescharacteristic
987#493—611no—
988#493—611no—
989#492—611no—
990#492—611no—
991#488—611no—
992#488—611no—
993#488—611no—
994#488C2×D6111yescharacteristic, complemented
995#487—611no—
996#487—611no—
997#486—611no—
998#486—611no—
999#486—611no—
1000#486—611no—
1001#486—611no—
1002#486—611no—
1003#486—611no—
1004#486—611no—
1005#486—611no—
1006#486C2×D6111yescharacteristic
1007#469—611no—
1008#469—611no—
1009#469—611no—
1010#469—611no—
1011#469—611no—
1012#469—611no—
1013#469—611no—
1014#469C2×D6111yescharacteristic, complemented
1015#468—611no—
1016#468—611no—
1017#468—611no—
1018#468—611no—
1019#468—611no—
1020#468—611no—
1021#468—611no—
1022#468C2×D6111yescharacteristic, complemented
1023#466—611no—
1024#466—611no—
1025#466—611no—
1026#466—611no—
1027#466—611no—
1028#466—611no—
1029#466—611no—
1030#466C2×D6111yescharacteristic, complemented
1031#465—611no—
1032#465—611no—
1033#465—611no—
1034#465—611no—
1035#465—611no—
1036#465—611no—
1037#465—611no—
1038#465C2×D6111yescharacteristic, complemented
1039#442—611no—
1040#442—611no—
1041#442—611no—
1042#442—611no—
1043#442—611no—
1044#442—611no—
1045#442—611no—
1046#442C2×D6111yescharacteristic, complemented
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050#440—611no—
1051#440—611no—
1052#440—611no—
1053#440—611no—
1054#440C2×D6111yescharacteristic, complemented
1055C4×SD16—611no—
1056C4×SD16—611no—
1057C4×SD16—611no—
1058C4×SD16—611no—
1059C4×SD16—611no—
1060C4×SD16—611no—
1061C4×SD16—611no—
1062C4×SD16C2×D6111yescharacteristic, complemented
1063C4×D8—611no—
1064C4×D8—611no—
1065C4×D8—611no—
1066C4×D8—611no—
1067C4×D8—611no—
1068C4×D8—611no—
1069C4×D8—611no—
1070C4×D8C2×D6111yescharacteristic, complemented
1071#428—611no—
1072#428—611no—
1073#428—611no—
1074#428—611no—
1075#416—611no—
1076#416—611no—
1077#416—611no—
1078#416—611no—
1079C2×#102—611no—
1080C2×#102—611no—
1081C2×#102—611no—
1082C2×#102—611no—
1083#405—611no—
1084#405—611no—
1085#405—611no—
1086#405—611no—
1087#405—611no—
1088#405C2×D6111yescharacteristic, complemented
1089C4×M16—611no—
1090C4×M16—611no—
1091C4×M16—611no—
1092C2×C4×C8—611no—
1093C2×C4×C8—611no—
1094C2×C4×C8—611no—
1095C61#6072211yescharacteristic, complemented, Sylow
1096C2×#41—611no—
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—1221no—
1100C2×#41—1221no—
1101C2×#41—1221no—
1102C2×#41—1221no—
1103C2×#41—1221no—
1104C2×#41—1221no—
1105C22×Q8—1221no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—1221no—
1109C22×D4—1221no—
1110AGL(1,ℤ/8)—1224no—
1111AGL(1,ℤ/8)—1224no—
1112AGL(1,ℤ/8)—1224no—
1113AGL(1,ℤ/8)—1224no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16C22×D6111yescharacteristic
1121C2×SD16C22×D6111yescharacteristic
1122C2×D8—611no—
1123C2×D8—611no—
1124C2×D8—611no—
1125C2×D8—611no—
1126C2×D8—611no—
1127C2×D8—611no—
1128C2×D8C22×D6111yescharacteristic
1129C2×D8C22×D6111yescharacteristic
1130#131—1224no—
1131#131—1224no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C2×M16—611no—
1137C2×M16C22×D6111yescharacteristic
1138C22×C8—611no—
1139C22×C8—611no—
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8C22×D6111yescharacteristic
1144C4⋊Q8—611no—
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—611no—
1148C4⋊Q8—611no—
1149C4⋊Q8—611no—
1150C4⋊Q8—1221no—
1151C4⋊Q8—1221no—
1152C4⋊Q8C22×D6111yescharacteristic
1153#127—611no—
1154#127—611no—
1155#127—611no—
1156#127—611no—
1157#127—1221no—
1158#127—1221no—
1159#127—1221no—
1160#127—1221no—
1161#127C22×D6111yescharacteristic
1162#126—21no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#125—611no—
1167#125—1221no—
1168#125—1221no—
1169#125C22×D6111yescharacteristic
1170#124—21no—
1171#124—611no—
1172#124—1221no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124C22×D6111yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—1221no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196C22⋊Q8—21no—
1197C22⋊Q8—611no—
1198C22⋊Q8—611no—
1199C22⋊Q8—611no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—21no—
1211#121—21no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—611no—
1216#121—611no—
1217#121—611no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121C22×D6111yescharacteristic
1242#121C22×D6111yescharacteristic
1243#121C22×D6111yescharacteristic
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248C4×Q8—611no—
1249C4×Q8—611no—
1250C4×Q8—611no—
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—1221no—
1254C4×Q8—1221no—
1255C4×Q8—1221no—
1256C4×Q8—1221no—
1257C4×Q8C22×D6111yescharacteristic
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—611no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4C22×D6111yescharacteristic
1290C4×D4C22×D6111yescharacteristic
1291C4×D4C22×D6111yescharacteristic
1292#117—611no—
1293#117—611no—
1294#117—611no—
1295#117—611no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117C22×D6111yescharacteristic
1301C2×C4⋊C4—611no—
1302C2×C4⋊C4—611no—
1303C2×C4⋊C4—1221no—
1304C2×C4⋊C4—1221no—
1305C2×C4⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C22⋊C4—1221no—
1308C2×C22⋊C4—1221no—
1309C2×C22⋊C4—1221no—
1310C2×C42—611no—
1311C2×C42—611no—
1312C2×C42—611no—
1313#107—611no—
1314#107—611no—
1315#107—611no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107C22×D6111yescharacteristic
1320#107C22×D6111yescharacteristic
1321#106—611no—
1322#106—611no—
1323#106—611no—
1324#106—611no—
1325#106—611no—
1326#106—611no—
1327#106C22×D6111yescharacteristic
1328#106C22×D6111yescharacteristic
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103C22×D6111yescharacteristic
1336#103C22×D6111yescharacteristic
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102—611no—
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102C22×D6111yescharacteristic
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359#102C22×D6111yescharacteristic
1360#102C22×D6111yescharacteristic
1361#97—611no—
1362#97—611no—
1363#97—611no—
1364#97—611no—
1365#97C22×D6111yescharacteristic
1366#97C22×D6111yescharacteristic
1367C4×C8—611no—
1368C4×C8—611no—
1369C4×C8—611no—
1370C4×C8—611no—
1371C4×C8—611no—
1372C4×C8—611no—
1373C4×C8—611no—
1374C4×C8—611no—
1375C4×C8C22×D6111yescharacteristic
1376C4×C8C22×D6111yescharacteristic
1377C24—1221no—
1378C24—1221no—
1379#41—1222no—
1380#41—1222no—
1381#41—1222no—
1382#41—1222no—
1383#41—1222no—
1384#41—1222no—
1385#41—4882no—
1386#41—4882no—
1387#41—4882no—
1388#41—4882no—
1389#41—4882no—
1390#41—4882no—
1391C2×Q8—21no—
1392C2×Q8—611no—
1393C2×Q8—611no—
1394C2×Q8—1221no—
1395C2×Q8—1221no—
1396C2×Q8—1221no—
1397C2×Q8—1221no—
1398C2×Q8—1221no—
1399C2×Q8—4882no—
1400C2×Q8C23×D6111yescharacteristic
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—611no—
1407C2×D4—611no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1222no—
1417C2×D4—1222no—
1418C2×D4—1222no—
1419C2×D4—1222no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—4882no—
1438C2×D4—4882no—
1439C2×D4C23×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—611no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
1452C22×C4—611no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4—1221no—
1465C22×C4—1221no—
1466C22×C4C23×D6111yescharacteristic
1467SD16—22no—
1468SD16—22no—
1469SD16—1222no—
1470SD16—1222no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—1222no—
1474SD16—1222no—
1475D8—22no—
1476D8—22no—
1477D8—1222no—
1478D8—1222no—
1479D8—1222no—
1480D8—1222no—
1481D8—1222no—
1482D8—1222no—
1483M16—22no—
1484M16—614no—
1485M16—614no—
1486M16—1222no—
1487M16—1222no—
1488M16—1222no—
1489C2×C8—22no—
1490C2×C8—611no—
1491C2×C8—611no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—1222no—
1495C2×C8—1222no—
1496C2×C8—1222no—
1497C2×C8—1222no—
1498C2×C8—1222no—
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4D4×D6111yescharacteristic
1534C4⋊C4D4×D6111yescharacteristic
1535C4⋊C4C23×D6111yescharacteristic
1536C4⋊C4C23×D6111yescharacteristic
1537C4⋊C4C23×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—611no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4D4×D6111yescharacteristic
1578C22⋊C4D4×D6111yescharacteristic
1579C42—21no—
1580C42—611no—
1581C42—611no—
1582C42—611no—
1583C42—611no—
1584C42—611no—
1585C42—611no—
1586C42—611no—
1587C42—611no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42—1221no—
1593C42C23×D6111yescharacteristic
1594C42C23×D6111yescharacteristic
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—611no—
1599C23—611no—
1600C23—1221no—
1601C23—1221no—
1602C23—1221no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—4881no—
1607C23—2442no—
1608C23—2442no—
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—81no—
1613Q8—1222no—
1614Q8—1221no—
1615Q8—1221no—
1616Q8—4881no—
1617Q8—2442no—
1618Q8—2442no—
1619Q8—2442no—
1620Q8—2442no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—1222no—
1633D4—1222no—
1634D4—1222no—
1635D4—1221no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—2442no—
1653D4—2442no—
1654D4—2442no—
1655D4—2442no—
1656D4—2442no—
1657D4—2442no—
1658D4—2442no—
1659D4—2442no—
1660D4—2442no—
1661D4—2442no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—611no—
1673C2×C4—611no—
1674C2×C4—611no—
1675C2×C4—612no—
1676C2×C4—612no—
1677C2×C4—611no—
1678C2×C4—611no—
1679C2×C4—611no—
1680C2×C4—1222no—
1681C2×C4—1222no—
1682C2×C4—1222no—
1683C2×C4—1222no—
1684C2×C4—1222no—
1685C2×C4—1222no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—4881no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—4881no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4C2×D4×D6111yescharacteristic
1707C2×C4C2×D4×D6111yescharacteristic
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C24×D6111yescharacteristic
1712C8—21no—
1713C8—21no—
1714C8—612no—
1715C8—612no—
1716C8—1221no—
1717C8—1221no—
1718C8#41×D6112yes—
1719C8#41×D6112yes—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—612no—
1733C22—1221no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—1221no—
1738C22—9762no—
1739C22—9762no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22C22×D4×D6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—612no—
1761C4—612no—
1762C4—612no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4C2×#41×D6111yescharacteristic
1772C4C2×#41×D6111yescharacteristic
1773C2—41no—
1774C2—81no—
1775C2—81no—
1776C2—81no—
1777C2—1222no—
1778C2—4881no—
1779C2—4881no—
1780C2—4881no—
1781C2—2441no—
1782C2#532×D6111yescharacteristic
1783C2#576×D6111yescharacteristic
1784C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3179C2
socleC22×C61C23×D4
hypercenter#3179D61
hypocenterC61#60722
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #21459724C2semidirect
2. #21459691C2semidirect
3. #21456554C2semidirect
4. #21456552C2semidirect
5. #21456534C2semidirect
6. #21456532C2semidirect
7. #21456509C2semidirect
8. #21456507C2semidirect
9. #21456504C2semidirect
10. #21456502C2semidirect
11. #21456501C2semidirect
12. #21456499C2semidirect
13. #21456496C2semidirect
14. #21456395C2semidirect
15. #21456393C2semidirect
16. #21456375C2semidirect
17. #21456373C2semidirect
18. #21456364C2semidirect
19. #21456268C2semidirect
20. #21456140C2semidirect
21. #486×D61C2semidirect
22. #21455498C2semidirect
23. #21455496C2semidirect
24. #21455494C2semidirect
25. #21455492C2semidirect
26. #21454650C2semidirect
27. #21454648C2semidirect
28. #21454646C2semidirect
29. #21454644C2semidirect
30. #21454241C2semidirect
31. C61×#3179C2semidirect
54. #16840386C22semidirect
55. #16840383C22semidirect
56. #16840381C22semidirect
65. #16840316C22semidirect
66. #16840314C22semidirect
70. #16840309C22semidirect
73. #16840307C22semidirect
81. #16840172C22semidirect
82. #16840171C22semidirect
83. #16840168C22semidirect
84. #16840166C22semidirect
85. #16840166C22semidirect
86. #16840159C22semidirect
87. #16840159C22semidirect
95. #16840119C22semidirect
96. #16840117C22semidirect
97. #16840116C22semidirect
98. #16840111C22semidirect
99. #16840111C22semidirect
107. #16840107C22semidirect
108. #16840107C22semidirect
109. #16840016C22semidirect
110. #16840015C22semidirect
111. #16840014C22semidirect
112. #16840014C22semidirect
113. #16840013C22semidirect
114. #16840013C22semidirect
115. #16840012C22semidirect
116. #16840011C22semidirect
117. #16840010C22semidirect
118. #16840009C22semidirect
119. #16840008C22semidirect
120. #16840007C22semidirect
121. #16840006C22semidirect
122. #16840005C22semidirect
123. #16839999C22semidirect
124. #16839998C22semidirect
125. #16839997C22semidirect
126. #16839997C22semidirect
127. #16839996C22semidirect
128. #16839996C22semidirect
129. #16839995C22semidirect
130. #16839994C22semidirect
131. #16839993C22semidirect
132. #16839992C22semidirect
133. #16839991C22semidirect
134. #16839990C22semidirect
135. #16839989C22semidirect
136. #16839988C22semidirect
137. #16839875C22semidirect
138. #16839874C22semidirect
139. #16839873C22semidirect
140. #16839872C22semidirect
141. #16839872C22semidirect
142. #16839871C22semidirect
143. #16839871C22semidirect
144. #16839865C22semidirect
145. #16839864C22semidirect
146. #16839863C22semidirect
147. #16839862C22semidirect
148. #16839861C22semidirect
149. #16839860C22semidirect
150. #16839859C22semidirect
151. #16839853C22semidirect
152. C4×#11758190C22semidirect
153. SD16×Dic61C22semidirect
154. C4×#11758201C22semidirect
155. #16839849C22semidirect
156. C4×#11758200C22semidirect
157. #16839847C22semidirect
158. C4×D488C22semidirect
159. D8×Dic61C22semidirect
160. #16839844C22semidirect
161. C4×#11758199C22semidirect
162. C4×#11758199C22semidirect
163. #16839842C22semidirect
164. #16839842C22semidirect
178. #16839719C22semidirect
179. #16839718C22semidirect
181. #16839716C22semidirect
183. #16839714C22semidirect
184. M16×Dic61C22semidirect
185. C2×C8×Dic61C22semidirect
187. C4×C8×D61C22semidirect
188. C61×#542C22semidirect
190. C61×#501C22semidirect
192. C61×#488C22semidirect
194. C61×#469C22semidirect
195. C61×#468C22semidirect
196. C61×#466C22semidirect
197. C61×#465C22semidirect
198. C61×#442C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#405C22semidirect
696. #11758189#41semidirect
697. #11758189#41semidirect
894. #3179D61semidirect
949. #542C2×D61semidirect
978. #501C2×D61semidirect
994. #488C2×D61semidirect
1014. #469C2×D61semidirect
1022. #468C2×D61semidirect
1030. #466C2×D61semidirect
1038. #465C2×D61semidirect
1046. #442C2×D61semidirect
1054. #440C2×D61semidirect
1062. C4×SD16C2×D61semidirect
1070. C4×D8C2×D61semidirect
1088. #405C2×D61semidirect
1095. C61#60722semidirect

Maximal subgroups

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

subgroupindex
#214597242
#214596912
#214565542
#214565522
#214565342
#214565322
#214565092
#214565072
#214565042
#214565022
#214565012
#214564992
#214564962
#214563952
#214563932
#214563752
#214563732
#214563642
#214562682
#214561402
#486×D612
#214554982
#214554962
#214554942
#214554922
#214546502
#214546482
#214546462
#214546442
#214542412
C61×#31792
#6072261