Finite Group Databasebeta

← #30575968

Subgroups — #30575968

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459429C211yesmaximal, characteristic, complemented
2#21458773C211yesmaximal, characteristic, complemented
3#21458758C211yesmaximal, characteristic, complemented
4#21458587C211yesmaximal, characteristic, complemented
5#21458572C211yesmaximal, characteristic, complemented
6#21458419C211yesmaximal, characteristic, complemented
7#21458379C211yesmaximal, characteristic, complemented
8#21458304C211yesmaximal, characteristic, complemented
9#21458298C211yesmaximal, characteristic, complemented
10#21458289C211yesmaximal, characteristic, complemented
11#21458274C211yesmaximal, characteristic, complemented
12#21458029C211yesmaximal, characteristic, complemented
13#21458014C211yesmaximal, characteristic, complemented
14#21457954C211yesmaximal, characteristic, complemented
15#21457894C211yesmaximal, characteristic, complemented
16#21457834C211yesmaximal, characteristic, complemented
17#21457774C211yesmaximal, characteristic, complemented
18#21457215C211yesmaximal, characteristic, complemented
19#21457181C211yesmaximal, characteristic, complemented
20#21457166C211yesmaximal, characteristic, complemented
21#21457059C211yesmaximal, characteristic, complemented
22#21457009C211yesmaximal, characteristic, complemented
23#21456987C211yesmaximal, characteristic, complemented
24#21455953C211yesmaximal, characteristic, complemented
25#21455922C211yesmaximal, characteristic, complemented
26#21455862C211yesmaximal, characteristic, complemented
27#21455637C211yesmaximal, characteristic, complemented
28#21455612C211yesmaximal, characteristic, complemented
29C2×#16840059C211yesmaximal, characteristic, complemented
30#21454936C211yesmaximal, characteristic, complemented
31C61×#3515C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840472C2211yescharacteristic
34#16840469C2211yescharacteristic
35#16840458C2211yescharacteristic
36#16840458C2211yescharacteristic
37#16840456—21no—
38#16840436—21no—
39#16840436—21no—
40#16840408C2211yescharacteristic
41#16840408C2211yescharacteristic
42#16840400—21no—
43D4×D244C2211yescharacteristic
44#16840312C2211yescharacteristic
45#16840299—21no—
46#16840296C2211yescharacteristic
47#16840296C2211yescharacteristic
48#16840271—21no—
49#16840271—21no—
50C4×#11758222C2211yescharacteristic
51C2×C4×D244C2211yescharacteristic
52C2×C4×D244C2211yescharacteristic
53C4×D4×D61—21no—
54#16840172C2211yescharacteristic, complemented
55#16840172C2211yescharacteristic, complemented
56#16840168C2211yescharacteristic, complemented
57#16840168C2211yescharacteristic, complemented
58#16840161C2211yescharacteristic, complemented
59#16840161C2211yescharacteristic, complemented
60#16840128C2211yescharacteristic
61#16840128C2211yescharacteristic
62#16840124C2211yescharacteristic, complemented
63#16840124C2211yescharacteristic, complemented
64#16840119C2211yescharacteristic, complemented
65#16840119C2211yescharacteristic, complemented
66#16840103C2211yescharacteristic, complemented
67#16840103C2211yescharacteristic, complemented
68#16840100C2211yescharacteristic, complemented
69#16840097C2211yescharacteristic, complemented
70#16840095C2211yescharacteristic, complemented
71#16840092C2211yescharacteristic, complemented
72#16840090C2211yescharacteristic, complemented
73#16840086C2211yescharacteristic
74#16840086C2211yescharacteristic
75#16840083C2211yescharacteristic, complemented
76#16840080C2211yescharacteristic
77#16840080C2211yescharacteristic, complemented
78#16840080C2211yescharacteristic, complemented
79#16840078C2211yescharacteristic, complemented
80#16840075C2211yescharacteristic
81#16840075C2211yescharacteristic, complemented
82#16840075C2211yescharacteristic, complemented
83#16840073C2211yescharacteristic, complemented
84#16840069C2211yescharacteristic, complemented
85#16840069C2211yescharacteristic, complemented
86#16840066C2211yescharacteristic, complemented
87#16840066C2211yescharacteristic, complemented
88#16840066C2211yescharacteristic, complemented
89#16840066C2211yescharacteristic, complemented
90#16840066C2211yescharacteristic, complemented
91#16840062C2211yescharacteristic, complemented
92#16840062C2211yescharacteristic, complemented
93#16840059C2211yescharacteristic
94#16840059C2211yescharacteristic
95#16840059C2211yescharacteristic
96#16840059C2211yescharacteristic
97#16840059C2211yescharacteristic
98#16840059C2211yescharacteristic
99#16840059C2211yescharacteristic
100#16840059C2211yescharacteristic, complemented
101#16840059C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840059C2211yescharacteristic, complemented
104#16840059C2211yescharacteristic, complemented
105#16840059C2211yescharacteristic, complemented
106#16840059C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840049C2211yescharacteristic
109#16840049C2211yescharacteristic, complemented
110#16840047C2211yescharacteristic, complemented
111#16840042C2211yescharacteristic, complemented
112#16840039C2211yescharacteristic
113#16840039C2211yescharacteristic, complemented
114#16840018C2211yescharacteristic, complemented
115#16840013C2211yescharacteristic
116#16840013C2211yescharacteristic, complemented
117#16840013C2211yescharacteristic, complemented
118#16840010C2211yescharacteristic
119#16840010C2211yescharacteristic, complemented
120#16840010C2211yescharacteristic, complemented
121#16840006C2211yescharacteristic, complemented
122#16840001C2211yescharacteristic, complemented
123#16839996C2211yescharacteristic
124#16839993C2211yescharacteristic
125#16839989C2211yescharacteristic, complemented
126#16839984C2211yescharacteristic, complemented
127#16839984C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839977C2211yescharacteristic, complemented
130#16839977C2211yescharacteristic, complemented
131#16839974C2211yescharacteristic
132#16839974C2211yescharacteristic, complemented
133#16839974C2211yescharacteristic, complemented
134#16839962C2211yescharacteristic
135#16839957C2211yescharacteristic
136#16839922C2211yescharacteristic
137#16839912C2211yescharacteristic
138#16839912C2211yescharacteristic
139#16839905C2211yescharacteristic
140#16839895C2211yescharacteristic
141#16839895C2211yescharacteristic
142#16839893C2211yescharacteristic, complemented
143#16839893C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839872C2211yescharacteristic, complemented
147#16839867C2211yescharacteristic, complemented
148#16839862C2211yescharacteristic, complemented
149#16839860C2211yescharacteristic
150#16839860C2211yescharacteristic
151#16839860C2211yescharacteristic, complemented
152C4×#11758201C2211yescharacteristic
153C4×#11758201C2211yescharacteristic, complemented
154C4×#11758199C2211yescharacteristic
155C4×#11758199C2211yescharacteristic, complemented
156#16839840C2211yescharacteristic, complemented
157#16839840C2211yescharacteristic, complemented
158#16839834C2211yescharacteristic
159#16839834C2211yescharacteristic
160#16839834C2211yescharacteristic, complemented
161#16839834C2211yescharacteristic, complemented
162#16839819C2211yescharacteristic, complemented
163#16839819C2211yescharacteristic, complemented
164#16839815C2211yescharacteristic, complemented
165#16839805C2211yescharacteristic, complemented
166#16839805C2211yescharacteristic, complemented
167#16839802C2211yescharacteristic, complemented
168#16839802C2211yescharacteristic, complemented
169C2×#14519710C2211yescharacteristic, complemented
170C2×#14519708C2211yescharacteristic, complemented
171#16839786C2211yescharacteristic, complemented
172#16839786C2211yescharacteristic, complemented
173C2×C4⋊#92418C2211yescharacteristic, complemented
174#16839766C2211yescharacteristic
175#16839766C2211yescharacteristic
176#16839761C2211yescharacteristic
177#16839761C2211yescharacteristic
178C2×#14519697C2211yescharacteristic
179C2×#14519697C2211yescharacteristic
180C61×#557C2211yescharacteristic, complemented
181C61×#554C2211yescharacteristic, complemented
182C61×#554C2211yescharacteristic, complemented
183C61×#553C2211yescharacteristic
184C61×#553C2211yescharacteristic, complemented
185C61×#552—21no—
186C61×#552—21no—
187C61×#552—21no—
188C61×#552C2211yescharacteristic
189C61×#552C2211yescharacteristic, complemented
190C61×#547—21no—
191C61×#547C2211yescharacteristic, complemented
192C61×#541—21no—
193C61×#539—21no—
194C61×#539—21no—
195C61×#533C2211yescharacteristic, complemented
196C61×#529C2211yescharacteristic, complemented
197C61×#529C2211yescharacteristic, complemented
198C61×#529C2211yescharacteristic, complemented
199C2×#125×C61C2211yescharacteristic, complemented
200C2×#125×C61C2211yescharacteristic, complemented
201C61×#520—21no—
202C4×#41×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C2×D4×D61—21no—
208C22×C4×D61—21no—
209C22×C4×D61—21no—
210C2×#11758202C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C2×#11758194C2311yescharacteristic
221C2×#11758194C2311yescharacteristic
222C22×#92418C2311yescharacteristic
223C22×#92418C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519774C2311yescharacteristic
226#14519772—21no—
227#14519772—21no—
228#14519771—21no—
229#14519771—21no—
230#14519769C2311yescharacteristic
231#14519769C2311yescharacteristic
232#14519768—21no—
233#14519766—21no—
234#14519765—21no—
235#14519765C2311yescharacteristic
236#14519765C2311yescharacteristic
237#14519762—21no—
238#14519762—21no—
239#14519762—21no—
240#14519762—21no—
241#14519760—21no—
242#14519760—21no—
243#14519759—21no—
244#14519759—21no—
245#14519756C2311yescharacteristic
246#14519756C2311yescharacteristic
247#14519755—21no—
248#14519755—21no—
249#14519754—21no—
250#14519754—21no—
251#14519753—21no—
252#14519752—21no—
253#14519751—21no—
254#14519751C2311yescharacteristic
255#14519751C2311yescharacteristic
256#14519751C2311yescharacteristic
257#14519751C2311yescharacteristic
258#14519750—21no—
259#14519750—21no—
260#14519749—21no—
261#14519749—21no—
262#14519747—21no—
263#14519747—21no—
264#14519745—21no—
265#14519745—21no—
266C4×Dic122C2311yescharacteristic
267C4×Dic122C2311yescharacteristic
268C4×D244—21no—
269C4×D244—21no—
270C4×D244—21no—
271C4×D244—21no—
272C4×D244—21no—
273C4×D244C2311yescharacteristic
274C4×D244C2311yescharacteristic
275C4×D244C2311yescharacteristic
276C4×D244C2311yescharacteristic
277C4×D244C2311yescharacteristic
278C4×D244C2311yescharacteristic
279C4×D244C2311yescharacteristic
280C4×D244C2311yescharacteristic
281D4×Dic61—21no—
282#14519739—21no—
283C4×C22⋊D61—21no—
284C4×C22⋊D61—21no—
285C4×C22⋊D61—21no—
286C4×C22⋊D61—21no—
287#14519737—21no—
288#14519737—21no—
289#14519736C2311yescharacteristic
290#14519734—21no—
291#14519734—21no—
292#14519734—21no—
293C2×C4⋊Dic61C2311yescharacteristic
294C2×C4⋊Dic61C2311yescharacteristic
295C4⋊C4×D61—21no—
296C2×#11758198—21no—
297C2×#11758198—21no—
298C22⋊C4×D61—21no—
299C22⋊C4×D61—21no—
300C42×D61—21no—
301#14519710C2311yescharacteristic
302#14519710C2311yescharacteristic
303#14519710C2311yescharacteristic
304#14519710C2311yescharacteristic
305#14519710C2311yescharacteristic
306#14519710C2311yescharacteristic
307#14519710C2311yescharacteristic
308#14519710C2311yescharacteristic
309#14519710C2311yescharacteristic
310#14519710C2311yescharacteristic
311#14519710C2311yescharacteristic
312#14519710C2311yescharacteristic
313#14519708C2311yescharacteristic
314#14519708C2311yescharacteristic
315#14519708C2311yescharacteristic
316#14519708C2311yescharacteristic
317#14519708C2311yescharacteristic
318#14519708C2311yescharacteristic
319#14519708C2311yescharacteristic
320#14519708C2311yescharacteristic
321#14519708C2311yescharacteristic
322#14519708C2311yescharacteristic
323#14519708C2311yescharacteristic
324#14519708C2311yescharacteristic
325C4⋊#92418C2311yescharacteristic
326C4⋊#92418C2311yescharacteristic
327C4⋊#92418C2311yescharacteristic
328C4⋊#92418C2311yescharacteristic
329C4⋊#92418C2311yescharacteristic
330C4⋊#92418C2311yescharacteristic
331C4⋊#92418C2311yescharacteristic
332C4⋊#92418C2311yescharacteristic
333C4⋊#92418C2311yescharacteristic
334C4⋊#92418C2311yescharacteristic
335#14519701C2311yescharacteristic
336#14519701C2311yescharacteristic
337#14519701C2311yescharacteristic
338#14519701C2311yescharacteristic
339#14519700C2311yescharacteristic
340#14519700C2311yescharacteristic
341#14519700C2311yescharacteristic
342#14519700C2311yescharacteristic
343#14519700C2311yescharacteristic
344#14519700C2311yescharacteristic
345#14519698C2311yescharacteristic
346#14519698C2311yescharacteristic
347#14519698C2311yescharacteristic
348#14519698C2311yescharacteristic
349#14519697C2311yescharacteristic
350#14519697C2311yescharacteristic
351#14519697C2311yescharacteristic
352#14519697C2311yescharacteristic
353#14519697C2311yescharacteristic
354#14519697C2311yescharacteristic
355#14519697C2311yescharacteristic
356#14519697C2311yescharacteristic
357#14519697C2311yescharacteristic
358#14519697C2311yescharacteristic
359#14519697C2311yescharacteristic
360#14519697C2311yescharacteristic
361#14519697C2311yescharacteristic
362#14519697C2311yescharacteristic
363#14519697C2311yescharacteristic
364#14519697C2311yescharacteristic
365#14519697C2311yescharacteristic
366#14519697C2311yescharacteristic
367C22⋊#92418C2311yescharacteristic
368C22⋊#92418C2311yescharacteristic
369C22⋊#92418C2311yescharacteristic
370C22⋊#92418C2311yescharacteristic
371C22⋊#92418C2311yescharacteristic
372C22⋊#92418C2311yescharacteristic
373#14519688C2311yescharacteristic
374#14519688C2311yescharacteristic
375#14519688C2311yescharacteristic
376#14519688C2311yescharacteristic
377C4×#92418C2311yescharacteristic
378C4×#92418C2311yescharacteristic
379C2×#41×C61—21no—
380C2×#41×C61D411yescharacteristic
381C4⋊Q8×C61—21no—
382C4⋊Q8×C61C2311yescharacteristic
383C4⋊Q8×C61C2311yescharacteristic
384#126×C61—21no—
385#126×C61—21no—
386#126×C61—21no—
387#126×C61—21no—
388#126×C61—21no—
389#126×C61—21no—
390#126×C61—21no—
391#125×C61—21no—
392#125×C61—21no—
393#125×C61—21no—
394#125×C61—21no—
395#125×C61—21no—
396#125×C61—21no—
397#125×C61—21no—
398#125×C61—21no—
399#125×C61—21no—
400#125×C61C2311yescharacteristic
401#125×C61C2311yescharacteristic
402#125×C61C2311yescharacteristic
403#125×C61C2311yescharacteristic
404#125×C61C2311yescharacteristic
405#125×C61C2311yescharacteristic
406#125×C61C2311yescharacteristic
407#124×C61C2311yescharacteristic
408#123×C61—21no—
409#123×C61—21no—
410#123×C61—21no—
411#123×C61—21no—
412#123×C61—21no—
413#123×C61—21no—
414#123×C61—21no—
415#123×C61—21no—
416#123×C61—21no—
417C22⋊Q8×C61—21no—
418C22⋊Q8×C61—21no—
419C22⋊Q8×C61—21no—
420C22⋊Q8×C61—21no—
421C22⋊Q8×C61—21no—
422C22⋊Q8×C61—21no—
423C22⋊Q8×C61—21no—
424C22⋊Q8×C61—21no—
425C22⋊Q8×C61C2311yescharacteristic
426C22⋊Q8×C61C2311yescharacteristic
427C22⋊Q8×C61C2311yescharacteristic
428#121×C61—21no—
429#121×C61—21no—
430#121×C61C2311yescharacteristic
431#121×C61C2311yescharacteristic
432#121×C61C2311yescharacteristic
433C4×Q8×C61—21no—
434C4×Q8×C61—21no—
435C4×Q8×C61—21no—
436C4×Q8×C61D411yescharacteristic
437C4×Q8×C61C2311yescharacteristic
438C4×Q8×C61C2311yescharacteristic
439C4×Q8×C61C2311yescharacteristic
440C4×Q8×C61C2311yescharacteristic
441C4×D4×C61—21no—
442C4×D4×C61—21no—
443C4×D4×C61—21no—
444C4×D4×C61—21no—
445C4×D4×C61—21no—
446C4×D4×C61—21no—
447C4×D4×C61D411yescharacteristic
448C4×D4×C61D411yescharacteristic
449C4×D4×C61D411yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457#117×C61—21no—
458#117×C61—21no—
459#117×C61—21no—
460#117×C61—21no—
461#117×C61D411yescharacteristic
462#117×C61D411yescharacteristic
463#117×C61D411yescharacteristic
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C4⋊C4×C61—21no—
467C2×C4⋊C4×C61—21no—
468C2×C4⋊C4×C61—21no—
469C2×C4⋊C4×C61—21no—
470C2×C4⋊C4×C61—21no—
471C2×C4⋊C4×C61C2311yescharacteristic
472C2×C4⋊C4×C61C2311yescharacteristic
473C2×C4⋊C4×C61C2311yescharacteristic
474C2×C4⋊C4×C61C2311yescharacteristic
475C2×C42×C61C2311yescharacteristic
476C2×C42×C61C2311yescharacteristic
477C2×C42×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480#41×C61—42no—
481#41×C61—44no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61C2×D411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61C2×D411yescharacteristic
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2×D411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2×D411yescharacteristic
501C22×C4×C61C2×D411yescharacteristic
502C22×C4×C61C2×D411yescharacteristic
503C22×C4×C61C2×D411yescharacteristic
504C22×C4×C61C2×D411yescharacteristic
505C22×C4×C61C2×D411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C22×C4×C61C2411yescharacteristic
508C22×C4×C61C2411yescharacteristic
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516D4×D61—44no—
517#11758222—22no—
518#11758222—41no—
519#11758222—82no—
520C2×D244—22no—
521C2×D244—22no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—41no—
527C2×D244—41no—
528C2×D244C2411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—82no—
541C2×C4×D61—82no—
542C2×Dic122—21no—
543C2×Dic122C2411yescharacteristic
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×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61C2×D411yescharacteristic
596C22⋊C4×C61C2×D411yescharacteristic
597C22⋊C4×C61C2×D411yescharacteristic
598C22⋊C4×C61C2×D411yescharacteristic
599C22⋊C4×C61C2×D411yescharacteristic
600C22⋊C4×C61C2×D411yescharacteristic
601C42×C61—21no—
602C42×C61—21no—
603C42×C61—21no—
604C42×C61—21no—
605C42×C61—21no—
606C42×C61C2×D411yescharacteristic
607C42×C61C2×D411yescharacteristic
608C42×C61C2×D411yescharacteristic
609C42×C61C2×D411yescharacteristic
610C42×C61C2×D411yescharacteristic
611C42×C61C2×D411yescharacteristic
612C42×C61C2411yescharacteristic
613C42×C61C2411yescharacteristic
614C42×C61C2411yescharacteristic
615C42×C61C2411yescharacteristic
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61—21no—
619#11758202—41no—
620#11758201—22no—
621#11758201—41no—
622#11758201—41no—
623#11758200—41no—
624#11758199—22no—
625#11758199—41no—
626#11758199—41no—
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#11758198—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648C4⋊Dic61C2411yescharacteristic
649C4⋊Dic61C2411yescharacteristic
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661#11758194—41no—
662#11758194—41no—
663#11758194—41no—
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418—41no—
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—42no—
686C22×D61—81no—
687C22×D61—81no—
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—41no—
691Q8×C61—42no—
692Q8×C61—81no—
693D4×C61—22no—
694D4×C61—22no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—41no—
698D4×C61—42no—
699D4×C61—42no—
700D4×C61—81no—
701C2×C4×C61—22no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—41no—
716C2×C4×C61—41no—
717C2×C4×C61—41no—
718C2×C4×C61—41no—
719C2×C4×C61—41no—
720C2×C4×C61—42no—
721C2×C4×C61—42no—
722C2×C4×C61—42no—
723C2×C4×C61—81no—
724C2×C4×C61—81no—
725C2×C4×C61—81no—
726C2×C4×C61—81no—
727C2×C4×C61C22×D411yescharacteristic
728C2×C4×C61C22×D411yescharacteristic
729C2×C4×C61C22×D411yescharacteristic
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C2511yescharacteristic
739C22⋊D61—42no—
740C22⋊D61—42no—
741C22⋊D61—42no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—81no—
750C2×Dic61—81no—
751D244—21no—
752D244—21no—
753D244—21no—
754D244—21no—
755D244—21no—
756D244—42no—
757D244—42no—
758D244—42no—
759D244—81no—
760D2442−1+412yes—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770Dic122—21no—
771Dic122—21no—
772Dic122—81no—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#92418—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—21no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61#57512yes—
794C22×C61C23×D411yescharacteristic
795C2×D61—22no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61C2×2−1+411yescharacteristic
825C4×C61#58511yescharacteristic
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515D6111yescharacteristic, complemented
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—41no—
864C2×C61—41no—
865C2×C61—81no—
866C2×C61#348911yescharacteristic
867C2×C61C2×#57511yescharacteristic
868C2×C61#358511yescharacteristic
869D61—42no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557C2×D6111yescharacteristic, complemented
874#554—611no—
875#554—611no—
876#554C2×D6111yescharacteristic, complemented
877#554C2×D6111yescharacteristic, complemented
878#553—611no—
879#553—611no—
880#553—1221no—
881#553C2×D6111yescharacteristic
882#553C2×D6111yescharacteristic, complemented
883#552—21no—
884#552—21no—
885#552—21no—
886#552C2×D6111yescharacteristic
887#552C2×D6111yescharacteristic, complemented
888#551—1221no—
889#551—1221no—
890#547—21no—
891#547C2×D6111yescharacteristic, complemented
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—21no—
897#539—21no—
898#539—21no—
899#533C2×D6111yescharacteristic, complemented
900#532—611no—
901#529—611no—
902#529—611no—
903#529—1221no—
904#529C2×D6111yescharacteristic, complemented
905#529C2×D6111yescharacteristic, complemented
906#529C2×D6111yescharacteristic, complemented
907C2×#125C2×D6111yescharacteristic, complemented
908C2×#125C2×D6111yescharacteristic, complemented
909#525—1221no—
910#525—1221no—
911#520—21no—
912C4×#41—611no—
913C4×#41C2×D6111yescharacteristic
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—21no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41C22⋊D6111yescharacteristic
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—21no—
1068C4⋊Q8—611no—
1069C4⋊Q8C22×D6111yescharacteristic
1070C4⋊Q8C22×D6111yescharacteristic
1071#127—611no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—611no—
1093#125—611no—
1094#125—1221no—
1095#125C22×D6111yescharacteristic
1096#125C22×D6111yescharacteristic
1097#125C22×D6111yescharacteristic
1098#125C22×D6111yescharacteristic
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8C22×D6111yescharacteristic
1140C22⋊Q8C22×D6111yescharacteristic
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—21no—
1143#121—21no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—21no—
1162C4×Q8—21no—
1163C4×Q8—21no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8C22⋊D6111yescharacteristic
1167C4×Q8C22×D6111yescharacteristic
1168C4×Q8C22×D6111yescharacteristic
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
1175C4×D4—21no—
1176C4×D4—21no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4C22⋊D6111yescharacteristic
1199C4×D4C22⋊D6111yescharacteristic
1200C4×D4C22⋊D6111yescharacteristic
1201C4×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117C22⋊D6111yescharacteristic
1217#117C22⋊D6111yescharacteristic
1218#117C22⋊D6111yescharacteristic
1219#117C22×D6111yescharacteristic
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4C22×D6111yescharacteristic
1230C2×C4⋊C4C22×D6111yescharacteristic
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—1221no—
1238C2×C42C22×D6111yescharacteristic
1239C2×C42C22×D6111yescharacteristic
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107—611no—
1252#107—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—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#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—42no—
1322#41—44no—
1323#41—1222no—
1324#41—4882no—
1325#41—2441no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—1221no—
1330C2×Q8C2×C22⋊D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2444no—
1352C2×D4C2×C22⋊D6111yescharacteristic
1353C2×D4C2×C22⋊D6111yescharacteristic
1354C2×D4C2×C22⋊D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—4882no—
1375C22×C4—4882no—
1376C22×C4C2×C22⋊D6111yescharacteristic
1377C22×C4C2×C22⋊D6111yescharacteristic
1378C22×C4C2×C22⋊D6111yescharacteristic
1379C22×C4C2×C22⋊D6111yescharacteristic
1380C22×C4C2×C22⋊D6111yescharacteristic
1381C22×C4C2×C22⋊D6111yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—611no—
1404C2×C8—611no—
1405C2×C8—2441no—
1406C2×C8—2441no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4C2×C22⋊D6111yescharacteristic
1449C4⋊C4C2×C22⋊D6111yescharacteristic
1450C4⋊C4C2×C22⋊D6111yescharacteristic
1451C4⋊C4C2×C22⋊D6111yescharacteristic
1452C4⋊C4C2×C22⋊D6111yescharacteristic
1453C4⋊C4C2×C22⋊D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
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⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4C2×C22⋊D6111yescharacteristic
1493C22⋊C4C2×C22⋊D6111yescharacteristic
1494C22⋊C4C2×C22⋊D6111yescharacteristic
1495C22⋊C4C2×C22⋊D6111yescharacteristic
1496C22⋊C4C2×C22⋊D6111yescharacteristic
1497C22⋊C4C2×C22⋊D6111yescharacteristic
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42C2×C22⋊D6111yescharacteristic
1507C42C2×C22⋊D6111yescharacteristic
1508C42C2×C22⋊D6111yescharacteristic
1509C42C2×C22⋊D6111yescharacteristic
1510C42C2×C22⋊D6111yescharacteristic
1511C42C2×C22⋊D6111yescharacteristic
1512C42C23×D6111yescharacteristic
1513C42C23×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—4881no—
1521C23—4881no—
1522C23—2442no—
1523C23—2442no—
1524C23—2442no—
1525C23—2442no—
1526C23C22×C22⋊D6111yescharacteristic
1527C23C22×C22⋊D6111yescharacteristic
1528C23C22×C22⋊D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—42no—
1533Q8—81no—
1534Q8—1221no—
1535Q8—1221no—
1536Q8—4881no—
1537D4—22no—
1538D4—22no—
1539D4—21no—
1540D4—21no—
1541D4—41no—
1542D4—42no—
1543D4—42no—
1544D4—81no—
1545D4—612no—
1546D4—1221no—
1547D4—1221no—
1548D4—1221no—
1549D4—1221no—
1550D4—1221no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—2442no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4C22×C22⋊D6111yescharacteristic
1603C2×C4C22×C22⋊D6111yescharacteristic
1604C2×C4C22×C22⋊D6111yescharacteristic
1605C2×C4C22×C22⋊D6111yescharacteristic
1606C2×C4C22×C22⋊D6111yescharacteristic
1607C2×C4C22×C22⋊D6111yescharacteristic
1608C2×C4C22×C22⋊D6111yescharacteristic
1609C2×C4C22×C22⋊D6111yescharacteristic
1610C2×C4C22×C22⋊D6111yescharacteristic
1611C2×C4C22×C22⋊D6111yescharacteristic
1612C2×C4C22×C22⋊D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—1221no—
1615C8—1221no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—1222no—
1634C22—4884no—
1635C22—4884no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684056012yes—
1645C22C23×C22⋊D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059911yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—41no—
1674C2—81no—
1675C2—4881no—
1676C2—4881no—
1677C2—2442no—
1678C2#2145949211yescharacteristic
1679C2C2×#1684056011yescharacteristic
1680C2#2146059811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3515C2
socleC22×C61C23×D4
hypercenter#3515D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #21459429C2semidirect
2. #21458773C2semidirect
3. #21458758C2semidirect
4. #21458587C2semidirect
5. #21458572C2semidirect
6. #21458419C2semidirect
7. #21458379C2semidirect
8. #21458304C2semidirect
9. #21458298C2semidirect
10. #21458289C2semidirect
11. #21458274C2semidirect
12. #21458029C2semidirect
13. #21458014C2semidirect
14. #21457954C2semidirect
15. #21457894C2semidirect
16. #21457834C2semidirect
17. #21457774C2semidirect
18. #21457215C2semidirect
19. #21457181C2semidirect
20. #21457166C2semidirect
21. #21457059C2semidirect
22. #21457009C2semidirect
23. #21456987C2semidirect
24. #21455953C2semidirect
25. #21455922C2semidirect
26. #21455862C2semidirect
27. #21455637C2semidirect
28. #21455612C2semidirect
29. C2×#16840059C2semidirect
30. #21454936C2semidirect
31. C61×#3515C2semidirect
54. #16840172C22semidirect
55. #16840172C22semidirect
56. #16840168C22semidirect
57. #16840168C22semidirect
58. #16840161C22semidirect
59. #16840161C22semidirect
62. #16840124C22semidirect
63. #16840124C22semidirect
64. #16840119C22semidirect
65. #16840119C22semidirect
66. #16840103C22semidirect
67. #16840103C22semidirect
68. #16840100C22semidirect
69. #16840097C22semidirect
70. #16840095C22semidirect
71. #16840092C22semidirect
72. #16840090C22semidirect
75. #16840083C22semidirect
77. #16840080C22semidirect
78. #16840080C22semidirect
79. #16840078C22semidirect
81. #16840075C22semidirect
82. #16840075C22semidirect
83. #16840073C22semidirect
84. #16840069C22semidirect
85. #16840069C22semidirect
86. #16840066C22semidirect
87. #16840066C22semidirect
88. #16840066C22semidirect
89. #16840066C22semidirect
90. #16840066C22semidirect
91. #16840062C22semidirect
92. #16840062C22semidirect
100. #16840059C22semidirect
101. #16840059C22semidirect
102. #16840059C22semidirect
103. #16840059C22semidirect
104. #16840059C22semidirect
105. #16840059C22semidirect
106. #16840059C22semidirect
107. #16840059C22semidirect
109. #16840049C22semidirect
110. #16840047C22semidirect
111. #16840042C22semidirect
113. #16840039C22semidirect
114. #16840018C22semidirect
116. #16840013C22semidirect
117. #16840013C22semidirect
119. #16840010C22semidirect
120. #16840010C22semidirect
121. #16840006C22semidirect
122. #16840001C22semidirect
125. #16839989C22semidirect
126. #16839984C22semidirect
127. #16839984C22semidirect
128. #16839981C22semidirect
129. #16839977C22semidirect
130. #16839977C22semidirect
132. #16839974C22semidirect
133. #16839974C22semidirect
142. #16839893C22semidirect
143. #16839893C22semidirect
146. #16839872C22semidirect
147. #16839867C22semidirect
148. #16839862C22semidirect
151. #16839860C22semidirect
153. C4×#11758201C22semidirect
155. C4×#11758199C22semidirect
156. #16839840C22semidirect
157. #16839840C22semidirect
160. #16839834C22semidirect
161. #16839834C22semidirect
162. #16839819C22semidirect
163. #16839819C22semidirect
164. #16839815C22semidirect
165. #16839805C22semidirect
166. #16839805C22semidirect
167. #16839802C22semidirect
168. #16839802C22semidirect
169. C2×#14519710C22semidirect
170. C2×#14519708C22semidirect
171. #16839786C22semidirect
172. #16839786C22semidirect
173. C2×C4⋊#92418C22semidirect
180. C61×#557C22semidirect
181. C61×#554C22semidirect
182. C61×#554C22semidirect
184. C61×#553C22semidirect
189. C61×#552C22semidirect
191. C61×#547C22semidirect
195. C61×#533C22semidirect
196. C61×#529C22semidirect
197. C61×#529C22semidirect
198. C61×#529C22semidirect
199. C2×#125×C61C22semidirect
200. C2×#125×C61C22semidirect
831. #3515D61semidirect
873. #557C2×D61semidirect
876. #554C2×D61semidirect
877. #554C2×D61semidirect
882. #553C2×D61semidirect
887. #552C2×D61semidirect
891. #547C2×D61semidirect
899. #533C2×D61semidirect
904. #529C2×D61semidirect
905. #529C2×D61semidirect
906. #529C2×D61semidirect
907. C2×#125C2×D61semidirect
908. C2×#125C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214594292
#214587732
#214587582
#214585872
#214585722
#214584192
#214583792
#214583042
#214582982
#214582892
#214582742
#214580292
#214580142
#214579542
#214578942
#214578342
#214577742
#214572152
#214571812
#214571662
#214570592
#214570092
#214569872
#214559532
#214559222
#214558622
#214556372
#214556122
C2×#168400592
#214549362
C61×#35152
#6211961