Finite Group Databasebeta

← #30577221

Subgroups — #30577221

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460458C211yesmaximal, characteristic, complemented
2#21459760C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458692C211yesmaximal, characteristic, complemented
5#21458584C211yesmaximal, characteristic, complemented
6#21458476C211yesmaximal, characteristic, complemented
7#21458415C211yesmaximal, characteristic, complemented
8#21458377C211yesmaximal, characteristic, complemented
9#21458374C211yesmaximal, characteristic, complemented
10#21458344C211yesmaximal, characteristic, complemented
11#21458259C211yesmaximal, characteristic, complemented
12#21458219C211yesmaximal, characteristic, complemented
13#21458043C211yesmaximal, characteristic, complemented
14#21458021C211yesmaximal, characteristic, complemented
15#21457975C211yesmaximal, characteristic, complemented
16#21457961C211yesmaximal, characteristic, complemented
17#21457647C211yesmaximal, characteristic, complemented
18#21457278C211yesmaximal, characteristic, complemented
19#21457225C211yesmaximal, characteristic, complemented
20#21457221C211yesmaximal, characteristic, complemented
21#21457110C211yesmaximal, characteristic, complemented
22#21457076C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21456089C211yesmaximal, characteristic, complemented
25#21456009C211yesmaximal, characteristic, complemented
26#21455867C211yesmaximal, characteristic, complemented
27#21455674C211yesmaximal, characteristic, complemented
28#21455649C211yesmaximal, characteristic, complemented
29#21455613C211yesmaximal, characteristic, complemented
30#21454965C211yesmaximal, characteristic, complemented
31C61×#3323C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840509—21no—
34#16840494C2211yescharacteristic
35#16840491C2211yescharacteristic, complemented
36#16840483C2211yescharacteristic
37#16840480—21no—
38#16840477C2211yescharacteristic, complemented
39#16840469C2211yescharacteristic
40#16840468C2211yescharacteristic, complemented
41#16840464—21no—
42#16840464C2211yescharacteristic
43#16840460C2211yescharacteristic, complemented
44#16840456C2211yescharacteristic
45#16840454C2211yescharacteristic
46#16840450—21no—
47#16840446C2211yescharacteristic, complemented
48#16840438—21no—
49#16840435—21no—
50#16840416C2211yescharacteristic
51#16840400C2211yescharacteristic
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54#16840393C2211yescharacteristic, complemented
55#16840392C2211yescharacteristic, complemented
56#16840385C2211yescharacteristic, complemented
57#16840384C2211yescharacteristic, complemented
58#16840383—21no—
59#16840381C2211yescharacteristic
60#16840378—21no—
61#16840371—21no—
62#16840365C2211yescharacteristic
63#16840356—21no—
64#16840355—21no—
65#16840349—21no—
66#16840315C2211yescharacteristic, complemented
67#16840298C2211yescharacteristic
68#16840298C2211yescharacteristic, complemented
69#16840292C2211yescharacteristic
70#16840268—21no—
71C2×#14519761—21no—
72#16840245C2211yescharacteristic
73#16840234C2211yescharacteristic
74C2×D4×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840163C2211yescharacteristic, complemented
78#16840162C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840160C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840121C2211yescharacteristic, complemented
83#16840118C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic
86#16840102C2211yescharacteristic, complemented
87#16840101C2211yescharacteristic, complemented
88#16840100C2211yescharacteristic, complemented
89#16840095C2211yescharacteristic, complemented
90#16840091C2211yescharacteristic, complemented
91#16840090C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic
94#16840087C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic
96#16840085C2211yescharacteristic
97#16840083C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic, complemented
99#16840081C2211yescharacteristic, complemented
100#16840079C2211yescharacteristic
101#16840075C2211yescharacteristic, complemented
102#16840067C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840067C2211yescharacteristic, complemented
105#16840067C2211yescharacteristic, complemented
106#16840065C2211yescharacteristic, complemented
107#16840064C2211yescharacteristic
108#16840064C2211yescharacteristic
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic, complemented
111#16840064C2211yescharacteristic, complemented
112#16840061C2211yescharacteristic, complemented
113#16840061C2211yescharacteristic, complemented
114#16840060C2211yescharacteristic
115#16840060C2211yescharacteristic, complemented
116#16840059C2211yescharacteristic, complemented
117#16840057C2211yescharacteristic, complemented
118#16840055C2211yescharacteristic, complemented
119#16840055C2211yescharacteristic, complemented
120#16840053C2211yescharacteristic, complemented
121#16840051C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic
123#16840050C2211yescharacteristic, complemented
124#16840045C2211yescharacteristic, complemented
125#16840043C2211yescharacteristic, complemented
126#16840042C2211yescharacteristic
127#16840041C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840015C2211yescharacteristic
132#16840015C2211yescharacteristic, complemented
133#16840011C2211yescharacteristic, complemented
134#16840010C2211yescharacteristic
135#16840010C2211yescharacteristic, complemented
136#16840005C2211yescharacteristic
137#16840000C2211yescharacteristic, complemented
138#16839997C2211yescharacteristic
139#16839996C2211yescharacteristic, complemented
140#16839993C2211yescharacteristic, complemented
141#16839986C2211yescharacteristic, complemented
142#16839986C2211yescharacteristic, complemented
143#16839980C2211yescharacteristic, complemented
144#16839980C2211yescharacteristic, complemented
145#16839979C2211yescharacteristic
146#16839979C2211yescharacteristic, complemented
147#16839974C2211yescharacteristic, complemented
148#16839960C2211yescharacteristic
149#16839956C2211yescharacteristic
150#16839911C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839896C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155C8×Dic122C2211yescharacteristic, complemented
156#16839872C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839869C2211yescharacteristic, complemented
159#16839860C2211yescharacteristic, complemented
160SD16×Dic61C2211yescharacteristic
161SD16×Dic61C2211yescharacteristic
162SD16×Dic61C2211yescharacteristic, complemented
163#16839847C2211yescharacteristic, complemented
164C4×D488C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic, complemented
170#16839831C2211yescharacteristic
171#16839825C2211yescharacteristic, complemented
172#16839821C2211yescharacteristic, complemented
173#16839820C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839804C2211yescharacteristic, complemented
178#16839803C2211yescharacteristic, complemented
179#16839797C2211yescharacteristic, complemented
180C2×#14519710C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839785C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839758C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#552C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#470C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic
200C61×#436C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#417C2211yescharacteristic
203C2×#11758224—21no—
204C22×C22⋊D61—21no—
205C2×D4×D61C2311yescharacteristic
206C23×Dic61—21no—
207C2×#11758201C2311yescharacteristic
208C2×#11758201C2311yescharacteristic
209C2×D488C2311yescharacteristic
210C2×#11758199C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C22×#92418C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216#14519777—21no—
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519773C2311yescharacteristic
225#14519772—21no—
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772D411yescharacteristic
232#14519771—21no—
233#14519771—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770D411yescharacteristic
239#14519768—21no—
240#14519768—21no—
241#14519768—21no—
242#14519768—21no—
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767D411yescharacteristic
252#14519766C2311yescharacteristic
253#14519766C2311yescharacteristic
254#14519765—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763D411yescharacteristic
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519761—21no—
270#14519761—21no—
271#14519761—21no—
272#14519761—21no—
273#14519761D411yescharacteristic
274#14519760—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519758D411yescharacteristic
281#14519757—21no—
282#14519757—21no—
283#14519757—21no—
284#14519757—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754D411yescharacteristic
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519752C2311yescharacteristic
301#14519751—21no—
302#14519751C2311yescharacteristic
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519750—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749D411yescharacteristic
312#14519748—21no—
313#14519748—21no—
314#14519748C2311yescharacteristic
315#14519746—21no—
316#14519745—21no—
317#14519745—21no—
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321Q8×Dic61C2311yescharacteristic
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122C2311yescharacteristic
326#14519742—21no—
327C4×D244—21no—
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61C2311yescharacteristic
346C4×C22⋊D61C2311yescharacteristic
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736—21no—
352#14519736C2311yescharacteristic
353#14519736C2311yescharacteristic
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519734C2311yescharacteristic
362#14519733—21no—
363C2×C4⋊Dic61—21no—
364C2×C4⋊Dic61—21no—
365C2×C4⋊Dic61C2311yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C2×C22⋊Dic61—21no—
370C2×#11758198—21no—
371C2×#11758198—21no—
372C22⋊C4×D61—21no—
373C2×C4×Dic61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C22×D4×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442#126×C61—21no—
443#125×C61—21no—
444#125×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446#123×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C22⋊C4×C61—21no—
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—22no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—41no—
489C2×D4×C61C2×D411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—82no—
506C2×C22⋊D61C2×D411yescharacteristic
507C2×C22⋊D61C2×D411yescharacteristic
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—82no—
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518#11758224—82no—
519D4×D61—22no—
520D4×D61—41no—
521C2×D244—21no—
522C2×D244C2411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61C2411yescharacteristic
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122C2×D411yescharacteristic
537Q16×C61—41no—
538SD16×C61—22no—
539SD16×C61—41no—
540M16×C61—41no—
541M16×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61C2×D411yescharacteristic
567C22⋊C4×C61C2×D411yescharacteristic
568C42×C61—21no—
569C42×C61—21no—
570C42×C61C2411yescharacteristic
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61C2×D411yescharacteristic
580C22⋊Dic61C2×D411yescharacteristic
581C22⋊Dic61C2×D411yescharacteristic
582C22⋊Dic61C2×D411yescharacteristic
583#11758201—41no—
584#11758201—41no—
585#11758199—22no—
586#11758199—41no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669D488—41no—
670#11758189—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—42no—
675C23×C61—42no—
676C23×C61—81no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—42no—
682C22×D61—81no—
683C22×D61—81no—
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—21no—
688Q8×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—41no—
693D4×C61—42no—
694D4×C61—42no—
695D4×C61—81no—
696D4×C612−1+412yes—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—42no—
708C2×C4×C61—81no—
709C2×C4×C61—81no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C2511yescharacteristic
715C22⋊D61—41no—
716C22⋊D61—41no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—41no—
732C2×Dic61—41no—
733C2×Dic61—42no—
734C2×Dic61—81no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61—81no—
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—81no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760Dic122—41no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62175—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—22no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—84no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—162no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61C2×2−1+411yescharacteristic
810C4×C61#58511yescharacteristic
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824#3565—611no—
825#3513—611no—
826#3389—611no—
827#3381—611no—
828#3371—611no—
829#3361—611no—
830#3354—611no—
831#3351—611no—
832#3351—611no—
833#3349—611no—
834#3343—611no—
835#3339—611no—
836#3324—611no—
837#3323D6111yescharacteristic, complemented
838#3322—611no—
839#3319—611no—
840#3318—611no—
841#3296—611no—
842#3262—611no—
843#3257—611no—
844#3256—611no—
845#3244—611no—
846#3241—611no—
847#3233—611no—
848#3125—611no—
849#3118—611no—
850#3105—611no—
851#3083—611no—
852#3081—611no—
853#3077—611no—
854#2993—611no—
855C2×C61—42no—
856C2×C61—41no—
857C2×C61—41no—
858C2×C61—81no—
859C2×C61#348911yescharacteristic
860C2×C61#358411yescharacteristic
861C2×C61#358511yescharacteristic
862D61—41no—
863D61—81no—
864D61—81no—
865#563—1221no—
866#562—1221no—
867#559—611no—
868#557—611no—
869#556—611no—
870#556—1221no—
871#555—611no—
872#554—611no—
873#554—611no—
874#553—611no—
875#553—611no—
876#553—611no—
877#553—1221no—
878#552—611no—
879#552—611no—
880#552—1221no—
881#552C2×D6111yescharacteristic, complemented
882#551—1221no—
883#551—1221no—
884#547—611no—
885#546—611no—
886#546—1221no—
887#546C2×D6111yescharacteristic
888D42—611no—
889#544—611no—
890#544—611no—
891#542—611no—
892#542—611no—
893#542—611no—
894#542—1221no—
895#542—1221no—
896#541—1221no—
897#540—611no—
898#539—1221no—
899#539—1221no—
900#538—1221no—
901#533—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#525—1221no—
906C2×#123—1221no—
907#520—611no—
908#518—611no—
909C2×C4×D4—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#498—611no—
916#490—611no—
917#489—611no—
918#488—611no—
919#488—611no—
920#488C2×D6111yescharacteristic, complemented
921#486—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485C2×D6111yescharacteristic, complemented
926#484—611no—
927#483—611no—
928#483—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#481—611no—
936#481—611no—
937#481—611no—
938#481C2×D6111yescharacteristic, complemented
939#480—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478C2×D6111yescharacteristic
956#477—611no—
957#477—611no—
958#477—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#470C2×D6111yescharacteristic, complemented
971#469—611no—
972#469—611no—
973#468—611no—
974#468—611no—
975#468—611no—
976#468—611no—
977#468C2×D6111yescharacteristic, complemented
978#467—611no—
979#466—611no—
980#466—611no—
981#465—611no—
982#464—611no—
983#464—611no—
984#464C2×D6111yescharacteristic, complemented
985#463—611no—
986#463—611no—
987#463—611no—
988#463—611no—
989#463—611no—
990#460—611no—
991#459—611no—
992#452C2×D6111yescharacteristic
993#450—611no—
994#450C2×D6111yescharacteristic
995#449—611no—
996#447—611no—
997#447—611no—
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#440—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16C2×D6111yescharacteristic
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8—611no—
1012#436—611no—
1013#436—611no—
1014#436C2×D6111yescharacteristic, complemented
1015#435—611no—
1016#435—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#431—611no—
1021#428—611no—
1022#428—611no—
1023#428—611no—
1024#428—611no—
1025#427—611no—
1026C2×#107—611no—
1027#424—611no—
1028#424—611no—
1029#423—611no—
1030#418—611no—
1031#418—611no—
1032#418C2×D6111yescharacteristic
1033#417C2×D6111yescharacteristic
1034#416—611no—
1035C2×#102—611no—
1036C61#6217511yescharacteristic, complemented, Sylow
1037C2×#41—1221no—
1038C2×#41C22×D6111yescharacteristic
1039C22×D4—611no—
1040C22×D4—1221no—
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—1221no—
1043C2×Q16C22×D6111yescharacteristic
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16C22×D6111yescharacteristic
1047C2×SD16C22×D6111yescharacteristic
1048C2×D8—611no—
1049C2×D8—611no—
1050C2×D8—611no—
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16C22×D6111yescharacteristic
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065#127—611no—
1066#126—21no—
1067#126—611no—
1068#126—611no—
1069#126—1221no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#125—21no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125C22×D6111yescharacteristic
1096#124—611no—
1097#124—611no—
1098#124—611no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—611no—
1110#123—611no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8C22×D6111yescharacteristic
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—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121C22×D6111yescharacteristic
1167#120—21no—
1168#120—1221no—
1169#120—1221no—
1170#120—1221no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8C22×D6111yescharacteristic
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C42—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107C22×D6111yescharacteristic
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106C22×D6111yescharacteristic
1257#106C22×D6111yescharacteristic
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8C22×D6111yescharacteristic
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8C22×D6111yescharacteristic
1305C22⋊C8C22×D6111yescharacteristic
1306#97—611no—
1307#97—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8C22×D6111yescharacteristic
1312C24—21no—
1313C24—1221no—
1314#41—22no—
1315#41—41no—
1316#41—4882no—
1317C2×Q8—611no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8C23×D6111yescharacteristic
1324C2×Q8C23×D6111yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—41no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1222no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—4882no—
1345C2×D4—2441no—
1346C2×D4D4×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—4882no—
1369C22×C4C23×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2441no—
1375SD16—2441no—
1376D8—1222no—
1377D8—2441no—
1378D8—2441no—
1379M16—41no—
1380M16—41no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8C23×D6111yescharacteristic
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4D4×D6111yescharacteristic
1489C22⋊C4D4×D6111yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—611no—
1512C23—1221no—
1513C23—1221no—
1514C23—4881no—
1515C23—4881no—
1516C23—2442no—
1517C23C2×D4×D6111yescharacteristic
1518C23C2×D4×D6111yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—4881no—
1524Q8—4881no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—2441no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—41no—
1533D4—42no—
1534D4—42no—
1535D4—81no—
1536D4—1221no—
1537D4—1221no—
1538D4—1221no—
1539D4—1221no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—4881no—
1546D4—4881no—
1547D4—2441no—
1548D4—2441no—
1549D4—2442no—
1550D4—2442no—
1551D4#1451982412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—2441no—
1593C2×C4—2441no—
1594C2×C4—2442no—
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C24×D6111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—1221no—
1622C22—1221no—
1623C22—1221no—
1624C22—9762no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—1221no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4C2×#1451982411yescharacteristic
1656C4#1684059711yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—4881no—
1662C2—4881no—
1663C2—2441no—
1664C2#2145949011yescharacteristic
1665C2#2146059111yescharacteristic
1666C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3323C2
socleC22×C61C23×D4
hypercenter#3323D61
hypocenterC61#62175
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #21460458C2semidirect
2. #21459760C2semidirect
3. #21458776C2semidirect
4. #21458692C2semidirect
5. #21458584C2semidirect
6. #21458476C2semidirect
7. #21458415C2semidirect
8. #21458377C2semidirect
9. #21458374C2semidirect
10. #21458344C2semidirect
11. #21458259C2semidirect
12. #21458219C2semidirect
13. #21458043C2semidirect
14. #21458021C2semidirect
15. #21457975C2semidirect
16. #21457961C2semidirect
17. #21457647C2semidirect
18. #21457278C2semidirect
19. #21457225C2semidirect
20. #21457221C2semidirect
21. #21457110C2semidirect
22. #21457076C2semidirect
23. #21457001C2semidirect
24. #21456089C2semidirect
25. #21456009C2semidirect
26. #21455867C2semidirect
27. #21455674C2semidirect
28. #21455649C2semidirect
29. #21455613C2semidirect
30. #21454965C2semidirect
31. C61×#3323C2semidirect
35. #16840491C22semidirect
38. #16840477C22semidirect
40. #16840468C22semidirect
43. #16840460C22semidirect
47. #16840446C22semidirect
54. #16840393C22semidirect
55. #16840392C22semidirect
56. #16840385C22semidirect
57. #16840384C22semidirect
66. #16840315C22semidirect
68. #16840298C22semidirect
75. #16840172C22semidirect
76. #16840169C22semidirect
77. #16840163C22semidirect
78. #16840162C22semidirect
79. #16840162C22semidirect
80. #16840160C22semidirect
82. #16840121C22semidirect
83. #16840118C22semidirect
84. #16840118C22semidirect
86. #16840102C22semidirect
87. #16840101C22semidirect
88. #16840100C22semidirect
89. #16840095C22semidirect
90. #16840091C22semidirect
91. #16840090C22semidirect
92. #16840088C22semidirect
94. #16840087C22semidirect
97. #16840083C22semidirect
98. #16840081C22semidirect
99. #16840081C22semidirect
101. #16840075C22semidirect
102. #16840067C22semidirect
103. #16840067C22semidirect
104. #16840067C22semidirect
105. #16840067C22semidirect
106. #16840065C22semidirect
110. #16840064C22semidirect
111. #16840064C22semidirect
112. #16840061C22semidirect
113. #16840061C22semidirect
115. #16840060C22semidirect
116. #16840059C22semidirect
117. #16840057C22semidirect
118. #16840055C22semidirect
119. #16840055C22semidirect
120. #16840053C22semidirect
121. #16840051C22semidirect
123. #16840050C22semidirect
124. #16840045C22semidirect
125. #16840043C22semidirect
127. #16840041C22semidirect
130. #16840040C22semidirect
132. #16840015C22semidirect
133. #16840011C22semidirect
135. #16840010C22semidirect
137. #16840000C22semidirect
139. #16839996C22semidirect
140. #16839993C22semidirect
141. #16839986C22semidirect
142. #16839986C22semidirect
143. #16839980C22semidirect
144. #16839980C22semidirect
146. #16839979C22semidirect
147. #16839974C22semidirect
154. #16839891C22semidirect
155. C8×Dic122C22semidirect
158. #16839869C22semidirect
159. #16839860C22semidirect
162. SD16×Dic61C22semidirect
163. #16839847C22semidirect
164. C4×D488C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
169. #16839834C22semidirect
171. #16839825C22semidirect
172. #16839821C22semidirect
173. #16839820C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839804C22semidirect
178. #16839803C22semidirect
179. #16839797C22semidirect
180. C2×#14519710C22semidirect
181. #16839790C22semidirect
182. #16839787C22semidirect
183. #16839785C22semidirect
188. C61×#552C22semidirect
190. C61×#488C22semidirect
191. C61×#485C22semidirect
192. C61×#481C22semidirect
194. C61×#470C22semidirect
195. C61×#468C22semidirect
196. C61×#464C22semidirect
200. C61×#436C22semidirect
837. #3323D61semidirect
881. #552C2×D61semidirect
920. #488C2×D61semidirect
925. #485C2×D61semidirect
938. #481C2×D61semidirect
970. #470C2×D61semidirect
977. #468C2×D61semidirect
984. #464C2×D61semidirect
1014. #436C2×D61semidirect
1036. C61#62175semidirect

Maximal subgroups

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

subgroupindex
#214604582
#214597602
#214587762
#214586922
#214585842
#214584762
#214584152
#214583772
#214583742
#214583442
#214582592
#214582192
#214580432
#214580212
#214579752
#214579612
#214576472
#214572782
#214572252
#214572212
#214571102
#214570762
#214570012
#214560892
#214560092
#214558672
#214556742
#214556492
#214556132
#214549652
C61×#33232
#6217561