Finite Group Databasebeta

← #30576123

Subgroups — #30576123

Order 15616.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic, complemented
2#21459430C211yesmaximal, characteristic, complemented
3#21458774C211yesmaximal, characteristic, complemented
4#21458772C211yesmaximal, characteristic, complemented
5#21458575C211yesmaximal, characteristic, complemented
6#21458573C211yesmaximal, characteristic, complemented
7#21458322C211yesmaximal, characteristic, complemented
8#21458320C211yesmaximal, characteristic, complemented
9#21458298C211yesmaximal, characteristic, complemented
10#21458219C211yesmaximal, characteristic, complemented
11#21458217C211yesmaximal, characteristic, complemented
12#21457978C211yesmaximal, characteristic, complemented
13#21457970C211yesmaximal, characteristic, complemented
14#21457962C211yesmaximal, characteristic, complemented
15#21457954C211yesmaximal, characteristic, complemented
16#21457675C211yesmaximal, characteristic, complemented
17#21457667C211yesmaximal, characteristic, complemented
18#21457176C211yesmaximal, characteristic, complemented
19#21457140C211yesmaximal, characteristic, complemented
20#21457128C211yesmaximal, characteristic, complemented
21#21457052C211yesmaximal, characteristic, complemented
22#21457018C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455907C211yesmaximal, characteristic, complemented
26#21455816C211yesmaximal, characteristic, complemented
27#21455615C211yesmaximal, characteristic, complemented
28#21455606C211yesmaximal, characteristic, complemented
29C2×#16840041C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3346C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840479—21no—
34#16840476C2211yescharacteristic, complemented
35#16840475C2211yescharacteristic, complemented
36#16840473C2211yescharacteristic
37#16840471C2211yescharacteristic, complemented
38#16840468C2211yescharacteristic, complemented
39#16840465—21no—
40#16840464C2211yescharacteristic, complemented
41#16840460C2211yescharacteristic
42#16840460C2211yescharacteristic
43#16840460C2211yescharacteristic, complemented
44#16840458C2211yescharacteristic
45#16840439—21no—
46#16840439—21no—
47#16840421—21no—
48#16840418—21no—
49#16840410—21no—
50#16840407—21no—
51#16840403C2211yescharacteristic
52#16840403C2211yescharacteristic
53D4×D244C2211yescharacteristic
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840313C2211yescharacteristic
60#16840309C2211yescharacteristic, complemented
61#16840307C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840298C2211yescharacteristic
66#16840297—21no—
67#16840275—21no—
68#16840275—21no—
69#16840241—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C2×#14519739C2211yescharacteristic
74C4×D4×D61—21no—
75#16840170C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840123C2211yescharacteristic, complemented
83#16840123C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840100C2211yescharacteristic, complemented
87#16840095C2211yescharacteristic, complemented
88#16840089C2211yescharacteristic, complemented
89#16840089C2211yescharacteristic, complemented
90#16840089C2211yescharacteristic, complemented
91#16840088C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840081C2211yescharacteristic
97#16840080C2211yescharacteristic
98#16840080C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840069C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic
102#16840065C2211yescharacteristic, complemented
103#16840065C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic
106#16840061C2211yescharacteristic
107#16840061C2211yescharacteristic, complemented
108#16840061C2211yescharacteristic, complemented
109#16840060C2211yescharacteristic, complemented
110#16840059C2211yescharacteristic
111#16840055C2211yescharacteristic, complemented
112#16840051C2211yescharacteristic
113#16840051C2211yescharacteristic, complemented
114#16840051C2211yescharacteristic, complemented
115#16840045C2211yescharacteristic, complemented
116#16840045C2211yescharacteristic, complemented
117#16840041C2211yescharacteristic
118#16840041C2211yescharacteristic
119#16840041C2211yescharacteristic
120#16840041C2211yescharacteristic
121#16840041C2211yescharacteristic, complemented
122#16840041C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic, complemented
124#16840041C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic, complemented
127#16840039C2211yescharacteristic, complemented
128#16840015C2211yescharacteristic
129#16840013C2211yescharacteristic
130#16840010C2211yescharacteristic, complemented
131#16839999C2211yescharacteristic, complemented
132#16839999C2211yescharacteristic, complemented
133#16839998C2211yescharacteristic
134#16839997C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic, complemented
136#16839996C2211yescharacteristic
137#16839993C2211yescharacteristic, complemented
138#16839980C2211yescharacteristic, complemented
139#16839980C2211yescharacteristic, complemented
140#16839979C2211yescharacteristic, complemented
141#16839979C2211yescharacteristic, complemented
142#16839960C2211yescharacteristic, complemented
143#16839958C2211yescharacteristic
144#16839957C2211yescharacteristic
145#16839956C2211yescharacteristic
146#16839956C2211yescharacteristic, complemented
147#16839956C2211yescharacteristic, complemented
148#16839910C2211yescharacteristic
149#16839906C2211yescharacteristic
150#16839898C2211yescharacteristic
151#16839898C2211yescharacteristic
152#16839895C2211yescharacteristic
153#16839895C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839873C2211yescharacteristic, complemented
159#16839872C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839871C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic, complemented
163#16839844C2211yescharacteristic
164#16839844C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic, complemented
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic, complemented
176#16839799C2211yescharacteristic, complemented
177#16839797C2211yescharacteristic, complemented
178C2×#14519710C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180C2×#14519706C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839757C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#481C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#474C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#465C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic, complemented
202C2×#107×C61C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224D411yescharacteristic
209C22×Dic122—21no—
210C22×D244C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C2×D4×D61—21no—
213C22×C4×D61—21no—
214C22×C4×D61—21no—
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758194C2311yescharacteristic
223C22×#92418C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519776—21no—
227#14519776—21no—
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519774C2311yescharacteristic
234#14519773C2311yescharacteristic
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519770—21no—
242#14519769C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519766—21no—
248#14519766C2311yescharacteristic
249#14519766C2311yescharacteristic
250#14519765—21no—
251#14519765—21no—
252#14519764—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519761—21no—
266#14519761—21no—
267#14519761—21no—
268#14519759—21no—
269#14519757—21no—
270#14519757—21no—
271#14519756—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519754—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519753—21no—
281#14519753—21no—
282#14519752—21no—
283#14519752—21no—
284#14519752—21no—
285#14519752—21no—
286#14519752C2311yescharacteristic
287#14519752C2311yescharacteristic
288#14519752C2311yescharacteristic
289#14519751—21no—
290#14519751—21no—
291#14519751—21no—
292#14519751C2311yescharacteristic
293#14519751C2311yescharacteristic
294#14519751C2311yescharacteristic
295#14519751C2311yescharacteristic
296#14519750—21no—
297#14519750—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519748C2311yescharacteristic
304#14519747—21no—
305#14519747—21no—
306#14519747—21no—
307#14519747—21no—
308Q8×Dic61C2311yescharacteristic
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742D411yescharacteristic
315C4×D244—21no—
316C4×D244—21no—
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319D4×Dic61—21no—
320D4×Dic61D411yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323#14519739—21no—
324#14519739—21no—
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61C2311yescharacteristic
343C4×C22⋊D61C2311yescharacteristic
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737D411yescharacteristic
350#14519737D411yescharacteristic
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735D411yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519733—21no—
361#14519733D411yescharacteristic
362#14519733D411yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C2×#11758198—21no—
369C2×#11758198—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2×D411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61C2×D411yescharacteristic
505C22×Dic61C2×D411yescharacteristic
506C22×Dic61C2×D411yescharacteristic
507C22×Dic61C2×D411yescharacteristic
508#11758226—22no—
509#11758226—41no—
510#11758226—82no—
511#11758224—42no—
512#11758224—44no—
513#11758224—82no—
514D4×D61—44no—
515#11758222—82no—
516C2×D244—22no—
517C2×D244—22no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
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×D244C2411yescharacteristic
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—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—82no—
545C2×C4×D61—82no—
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2×D411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—82no—
555C2×Dic122C2×D411yescharacteristic
556SD16×C61—41no—
557M16×C61—41no—
558C2×C8×C61—41no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
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×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61C2×D411yescharacteristic
586C22⋊C4×C61C2×D411yescharacteristic
587C42×C61—21no—
588C42×C61—21no—
589C42×C61C2411yescharacteristic
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61C2×D411yescharacteristic
595C22⋊Dic61C2×D411yescharacteristic
596#11758201—41no—
597#11758199—22no—
598#11758199—41no—
599#11758199—41no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198C2×D411yescharacteristic
626#11758198C2×D411yescharacteristic
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667#11758194—41no—
668C2×#92418—41no—
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673D488—22no—
674D488—41no—
675D488—41no—
676C8×D61—41no—
677C8×D61—41no—
678C23×C61—21no—
679C23×C61C22×D411yescharacteristic
680C23×C61C22×D411yescharacteristic
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—42no—
686C22×D61—42no—
687C22×D61—42no—
688C22×D61—42no—
689C22×D61—81no—
690C22×D61—81no—
691C22×D61C22×D411yescharacteristic
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—81no—
695D4×C61—22no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—42no—
699D4×C61—81no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
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—81no—
712C2×C4×C61—81no—
713C2×C4×C61—81no—
714C2×C4×C61—81no—
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C2511yescharacteristic
720C22⋊D61—22no—
721C22⋊D61—41no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C2×Dic61—22no—
730C2×Dic61—22no—
731C2×Dic61—22no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—41no—
737C2×Dic61—42no—
738C2×Dic61—81no—
739C2×Dic61—81no—
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747D244—21no—
748D244—21no—
749D244—21no—
750D244—21no—
751D244—21no—
752D244—21no—
753D244—21no—
754D244—42no—
755D244—42no—
756D244—42no—
757D244—42no—
758D244—81no—
759D244—81no—
760D244—81no—
761D244—81no—
762D2442−1+412yes—
763C4×D61—21no—
764C4×D61—21no—
765C4×D61—22no—
766C4×D61—41no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—42no—
772C4×D61—42no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777C4×D61—81no—
778C4×D61—81no—
779Dic122—41no—
780Dic122—42no—
781Dic122—42no—
782Dic122—42no—
783Dic122—81no—
784Dic122—81no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789#92418—21no—
790#92418—21no—
791#92418—21no—
792#92418—21no—
793#62125—611nomaximal, Sylow
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61#57512yes—
803C22×C61C23×D411yescharacteristic
804C2×D61—21no—
805C2×D61—22no—
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—84no—
820C2×D61—84no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61C2×2−1+411yescharacteristic
833C4×C61#58511yescharacteristic
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—21no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61#57612yes—
845#3511—611no—
846#3481—611no—
847#3389—611no—
848#3389—611no—
849#3370—611no—
850#3370—611no—
851#3347—611no—
852#3347—611no—
853#3346—611no—
854#3346D6111yescharacteristic, complemented
855#3339—611no—
856#3339—611no—
857#3319—611no—
858#3319—611no—
859#3318—611no—
860#3318—611no—
861#3297—611no—
862#3297—611no—
863#3251—611no—
864#3247—611no—
865#3245—611no—
866#3239—611no—
867#3235—611no—
868#3233—611no—
869#3115—611no—
870#3109—611no—
871#3100—611no—
872#3077—611no—
873#3076—611no—
874C2×#474—611no—
875#2990—611no—
876C2×C61—22no—
877C2×C61—41no—
878C2×C61—81no—
879C2×C61#348911yescharacteristic
880C2×C61C2×#57511yescharacteristic
881C2×C61C2×#57611yescharacteristic
882D61—41no—
883D61—42no—
884D61—81no—
885D61—81no—
886D61—81no—
887#559—611no—
888#556—1221no—
889#555—611no—
890#555—611no—
891#554—611no—
892#554—611no—
893#554—611no—
894#554C2×D6111yescharacteristic
895#553—611no—
896#553—611no—
897#553—611no—
898#553—611no—
899#553—611no—
900#553—1221no—
901#553C2×D6111yescharacteristic
902#551—1221no—
903#551—1221no—
904#548—1221no—
905#548—1221no—
906#547—1221no—
907#546—611no—
908#546—611no—
909#546—1221no—
910D42—611no—
911#542—1221no—
912#542—1221no—
913#537—1221no—
914#533—611no—
915#533—611no—
916#532—611no—
917#532—611no—
918#532—611no—
919#532—611no—
920C2×C4⋊Q8—611no—
921#529—611no—
922#529—611no—
923#529—1221no—
924#525—1221no—
925#525—1221no—
926#520—1221no—
927C4×#41—611no—
928C4×#41—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—1221no—
932#501—611no—
933#501—611no—
934#501—611no—
935#501C2×D6111yescharacteristic, complemented
936#499—611no—
937#499—611no—
938#490—611no—
939#490—611no—
940#489—611no—
941#489—611no—
942#488—611no—
943#488—611no—
944#485—611no—
945#485C2×D6111yescharacteristic, complemented
946#484—611no—
947#484C2×D6111yescharacteristic, complemented
948#482—611no—
949#482—611no—
950#482—611no—
951#482—611no—
952#482—611no—
953#482—611no—
954#482—611no—
955#482—611no—
956#481—611no—
957#481—611no—
958#481—611no—
959#481C2×D6111yescharacteristic, complemented
960#480—611no—
961#480C2×D6111yescharacteristic, complemented
962#479—611no—
963#479C2×D6111yescharacteristic, complemented
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#478—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#476—611no—
977#476—611no—
978#475—611no—
979#475—611no—
980#474—611no—
981#474—611no—
982#474—611no—
983#474—611no—
984#474—611no—
985#474—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474C2×D6111yescharacteristic, complemented
992#469—611no—
993#469—611no—
994#468—611no—
995#468C2×D6111yescharacteristic, complemented
996#466—611no—
997#466—611no—
998#466—611no—
999#466—611no—
1000#466—611no—
1001#466—611no—
1002#465—611no—
1003#465C2×D6111yescharacteristic, complemented
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#460—611no—
1009#459—611no—
1010#459—611no—
1011#459—611no—
1012#459—611no—
1013#459—611no—
1014#449—611no—
1015#449—611no—
1016#447—611no—
1017#447—611no—
1018#447—611no—
1019#447—611no—
1020#446—611no—
1021#446—611no—
1022#442—611no—
1023#442—611no—
1024#442—611no—
1025#442—611no—
1026#442—611no—
1027#442—611no—
1028#440—611no—
1029#440C2×D6111yescharacteristic, complemented
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8—611no—
1034#435—611no—
1035#435—611no—
1036#435—611no—
1037#435C2×D6111yescharacteristic
1038C8×D4—611no—
1039C8×D4—611no—
1040#432—611no—
1041#432—611no—
1042#431—611no—
1043#428—611no—
1044#428C2×D6111yescharacteristic, complemented
1045#427—611no—
1046#427—611no—
1047C2×#107—611no—
1048C2×#107C2×D6111yescharacteristic, complemented
1049#423—611no—
1050C2×C4⋊C8—611no—
1051C2×C4⋊C8—611no—
1052#418—611no—
1053#418—611no—
1054#416—611no—
1055#416—611no—
1056C2×#102—611no—
1057C2×#102—611no—
1058C61#6212511yescharacteristic, complemented, Sylow
1059C2×#41—611no—
1060C2×#41—611no—
1061C2×#41—1221no—
1062C2×#41—1221no—
1063C2×#41—1221no—
1064C2×#41—1221no—
1065C22×Q8—1221no—
1066C22×D4—611no—
1067C22×D4—611no—
1068C22×D4—1221no—
1069C23×C4—1221no—
1070C23×C4—1221no—
1071C2×SD16—611no—
1072C2×SD16C22×D6111yescharacteristic
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×D8—611no—
1077C2×D8—611no—
1078C2×D8—611no—
1079C2×M16—611no—
1080C2×M16C22×D6111yescharacteristic
1081C22×C8—611no—
1082C22×C8—611no—
1083C22×C8—611no—
1084C22×C8C22×D6111yescharacteristic
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8C22×D6111yescharacteristic
1093#127—611no—
1094#127—611no—
1095#126—21no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#125—21no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125C22×D6111yescharacteristic
1110#124—611no—
1111#124—611no—
1112#124—1221no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124—1221no—
1119#124—1221no—
1120#124—1221no—
1121#123—21no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8C22×D6111yescharacteristic
1149C22⋊Q8C22×D6111yescharacteristic
1150#121—21no—
1151#121—611no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—611no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121C22×D6111yescharacteristic
1174#121C22×D6111yescharacteristic
1175#120—1221no—
1176#120—1221no—
1177#120—1221no—
1178#120—1221no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—1221no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8—1221no—
1186C4×Q8C22×D6111yescharacteristic
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227#117—611no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117C22×D6111yescharacteristic
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—1221no—
1242C2×C4⋊C4—1221no—
1243C2×C4⋊C4—1221no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4C22×D6111yescharacteristic
1246C2×C4⋊C4C22×D6111yescharacteristic
1247C2×C4⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4—1221no—
1249C2×C22⋊C4—1221no—
1250C2×C22⋊C4—1221no—
1251C2×C22⋊C4—1221no—
1252C2×C42—611no—
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—1221no—
1256#107—611no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107C22×D6111yescharacteristic
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#107C22×D6111yescharacteristic
1268#107C22×D6111yescharacteristic
1269#107C22×D6111yescharacteristic
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106C22×D6111yescharacteristic
1278#106C22×D6111yescharacteristic
1279#106C22×D6111yescharacteristic
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8C22×D6111yescharacteristic
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
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—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321#102C22×D6111yescharacteristic
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8—611no—
1326C22⋊C8C22×D6111yescharacteristic
1327C22⋊C8C22×D6111yescharacteristic
1328#97—611no—
1329#97—611no—
1330#97—611no—
1331#97C22×D6111yescharacteristic
1332C4×C8—611no—
1333C4×C8—611no—
1334C24—1221no—
1335C24—1221no—
1336#41—1222no—
1337#41—4882no—
1338#41—4882no—
1339#41—4882no—
1340#41—2442no—
1341#41—2444no—
1342#41—2441no—
1343C2×Q8—21no—
1344C2×Q8—611no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1221no—
1350C2×Q8—4882no—
1351C2×Q8C23×D6111yescharacteristic
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—611no—
1360C2×D4—1222no—
1361C2×D4—1222no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—1221no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2444no—
1380C2×D4D4×D6111yescharacteristic
1381C2×D4C23×D6111yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—4882no—
1409C22×C4—4882no—
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412SD16—41no—
1413SD16—2441no—
1414D8—1222no—
1415D8—1222no—
1416D8—2441no—
1417D8—2441no—
1418D8—2441no—
1419D8—2441no—
1420M16—41no—
1421M16—2441no—
1422C2×C8—41no—
1423C2×C8—611no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—2441no—
1428C2×C8—2441no—
1429C2×C8—2441no—
1430C2×C8C23×D6111yescharacteristic
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—611no—
1450C4⋊C4—611no—
1451C4⋊C4—611no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4D4×D6111yescharacteristic
1470C4⋊C4C23×D6111yescharacteristic
1471C4⋊C4C23×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4D4×D6111yescharacteristic
1516C22⋊C4D4×D6111yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—611no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—4881no—
1541C23—4881no—
1542C23—2442no—
1543C23—2442no—
1544C23—2442no—
1545C23—2442no—
1546C23C2×D4×D6111yescharacteristic
1547C23C2×D4×D6111yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—81no—
1551Q8—4881no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—22no—
1558D4—21no—
1559D4—21no—
1560D4—42no—
1561D4—81no—
1562D4—612no—
1563D4—1222no—
1564D4—1221no—
1565D4—1221no—
1566D4—1221no—
1567D4—1221no—
1568D4—1221no—
1569D4—1221no—
1570D4—1221no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—4881no—
1576D4—4881no—
1577D4—2442no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581D4—2442no—
1582D4—2441no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4—2442no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—611no—
1603C2×C4—611no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—611no—
1607C2×C4—611no—
1608C2×C4—611no—
1609C2×C4—1222no—
1610C2×C4—1222no—
1611C2×C4—1222no—
1612C2×C4—1222no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—4881no—
1627C2×C4—2441no—
1628C2×C4—2442no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4—2441no—
1635C2×C4—2442no—
1636C2×C4C2×D4×D6111yescharacteristic
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C24×D6111yescharacteristic
1641C8—21no—
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—1221no—
1646C8—1221no—
1647C8—1221no—
1648C8—1221no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—1221no—
1658C22—1222no—
1659C22—1221no—
1660C22—1221no—
1661C22—4884no—
1662C22—4884no—
1663C22—2441no—
1664C22—2441no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22#1684056112yes—
1675C22C22×D4×D6111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—612no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—1221no—
1692C4—1221no—
1693C4—1221no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C42−1+4×D6111yescharacteristic
1699C4#1684059811yescharacteristic
1700C2—22no—
1701C2—41no—
1702C2—81no—
1703C2—4881no—
1704C2—4881no—
1705C2—4881no—
1706C2—2441no—
1707C2—2442no—
1708C2#2145949311yescharacteristic
1709C2C2×#1684056111yescharacteristic
1710C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3346C2
socleC22×C61C23×D4
hypercenter#3346D61
hypocenterC61#62125
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459430C2semidirect
3. #21458774C2semidirect
4. #21458772C2semidirect
5. #21458575C2semidirect
6. #21458573C2semidirect
7. #21458322C2semidirect
8. #21458320C2semidirect
9. #21458298C2semidirect
10. #21458219C2semidirect
11. #21458217C2semidirect
12. #21457978C2semidirect
13. #21457970C2semidirect
14. #21457962C2semidirect
15. #21457954C2semidirect
16. #21457675C2semidirect
17. #21457667C2semidirect
18. #21457176C2semidirect
19. #21457140C2semidirect
20. #21457128C2semidirect
21. #21457052C2semidirect
22. #21457018C2semidirect
23. #21457001C2semidirect
24. #21455968C2semidirect
25. #21455907C2semidirect
26. #21455816C2semidirect
27. #21455615C2semidirect
28. #21455606C2semidirect
29. C2×#16840041C2semidirect
30. #21454939C2semidirect
31. C61×#3346C2semidirect
34. #16840476C22semidirect
35. #16840475C22semidirect
37. #16840471C22semidirect
38. #16840468C22semidirect
40. #16840464C22semidirect
43. #16840460C22semidirect
57. #16840318C22semidirect
58. #16840315C22semidirect
60. #16840309C22semidirect
61. #16840307C22semidirect
62. #16840307C22semidirect
63. C2×#14519776C22semidirect
75. #16840170C22semidirect
76. #16840170C22semidirect
77. #16840168C22semidirect
78. #16840163C22semidirect
79. #16840162C22semidirect
82. #16840123C22semidirect
83. #16840123C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840100C22semidirect
87. #16840095C22semidirect
88. #16840089C22semidirect
89. #16840089C22semidirect
90. #16840089C22semidirect
91. #16840088C22semidirect
92. #16840088C22semidirect
95. #16840085C22semidirect
98. #16840080C22semidirect
99. #16840075C22semidirect
100. #16840069C22semidirect
102. #16840065C22semidirect
103. #16840065C22semidirect
104. #16840064C22semidirect
107. #16840061C22semidirect
108. #16840061C22semidirect
109. #16840060C22semidirect
111. #16840055C22semidirect
113. #16840051C22semidirect
114. #16840051C22semidirect
115. #16840045C22semidirect
116. #16840045C22semidirect
121. #16840041C22semidirect
122. #16840041C22semidirect
123. #16840041C22semidirect
124. #16840041C22semidirect
125. #16840041C22semidirect
126. #16840041C22semidirect
127. #16840039C22semidirect
130. #16840010C22semidirect
131. #16839999C22semidirect
132. #16839999C22semidirect
134. #16839997C22semidirect
135. #16839997C22semidirect
137. #16839993C22semidirect
138. #16839980C22semidirect
139. #16839980C22semidirect
140. #16839979C22semidirect
141. #16839979C22semidirect
142. #16839960C22semidirect
146. #16839956C22semidirect
147. #16839956C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839873C22semidirect
161. #16839871C22semidirect
162. #16839860C22semidirect
164. #16839844C22semidirect
166. #16839842C22semidirect
167. #16839836C22semidirect
169. #16839831C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839825C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839802C22semidirect
176. #16839799C22semidirect
177. #16839797C22semidirect
178. C2×#14519710C22semidirect
179. #16839785C22semidirect
180. C2×#14519706C22semidirect
181. C4⋊C8×D61C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
193. C61×#481C22semidirect
194. C61×#480C22semidirect
195. C61×#479C22semidirect
196. C61×#474C22semidirect
197. C61×#468C22semidirect
198. C61×#465C22semidirect
199. C61×#440C22semidirect
201. C61×#428C22semidirect
202. C2×#107×C61C22semidirect
854. #3346D61semidirect
935. #501C2×D61semidirect
945. #485C2×D61semidirect
947. #484C2×D61semidirect
959. #481C2×D61semidirect
961. #480C2×D61semidirect
963. #479C2×D61semidirect
991. #474C2×D61semidirect
995. #468C2×D61semidirect
1003. #465C2×D61semidirect
1029. #440C2×D61semidirect
1044. #428C2×D61semidirect
1048. C2×#107C2×D61semidirect
1058. C61#62125semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214594302
#214587742
#214587722
#214585752
#214585732
#214583222
#214583202
#214582982
#214582192
#214582172
#214579782
#214579702
#214579622
#214579542
#214576752
#214576672
#214571762
#214571402
#214571282
#214570522
#214570182
#214570012
#214559682
#214559072
#214558162
#214556152
#214556062
C2×#168400412
#214549392
C61×#33462
#6212561