Finite Group Databasebeta

← #30563016

Subgroups — #30563016

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459929C211yesmaximal, characteristic, complemented
2#21459888C211yesmaximal, characteristic, complemented
3#21458884C211yesmaximal, characteristic, complemented
4#21458765C211yesmaximal, characteristic, complemented
5#21458508C211yesmaximal, characteristic, complemented
6#21458474C211yesmaximal, characteristic, complemented
7#21458385C211yesmaximal, characteristic, complemented
8#21458355C211yesmaximal, characteristic, complemented
9#21458321C211yesmaximal, characteristic, complemented
10#21457751C211yesmaximal, characteristic, complemented
11#21457747C211yesmaximal, characteristic, complemented
12#21457721C211yesmaximal, characteristic, complemented
13#21457710C211yesmaximal, characteristic, complemented
14#21457662C211yesmaximal, characteristic, complemented
15#21457647C211yesmaximal, characteristic, complemented
16#21457444C211yesmaximal, characteristic, complemented
17#21457359C211yesmaximal, characteristic, complemented
18#21456495C211yesmaximal, characteristic, complemented
19#21456484C211yesmaximal, characteristic, complemented
20#21456390C211yesmaximal, characteristic, complemented
21#21456049C211yesmaximal, characteristic, complemented
22#21456032C211yesmaximal, characteristic, complemented
23#21456011C211yesmaximal, characteristic, complemented
24#21456000C211yesmaximal, characteristic, complemented
25#21455929C211yesmaximal, characteristic, complemented
26#21455929C211yesmaximal, characteristic, complemented
27#21454789C211yesmaximal, characteristic, complemented
28#21454663C211yesmaximal, characteristic, complemented
29#21454650C211yesmaximal, characteristic, complemented
30#135×Dic61C211yesmaximal, characteristic, complemented
31C61×#3269C211yesmaximal, characteristic, complemented
32C2×#14519804C2211yescharacteristic
33#16840494—21no—
34#16840494C2211yescharacteristic, complemented
35#16840491C2211yescharacteristic, complemented
36#16840486C2211yescharacteristic
37#16840483C2211yescharacteristic
38#16840477—21no—
39#16840477C2211yescharacteristic, complemented
40#16840471C2211yescharacteristic
41#16840459—21no—
42#16840459C2211yescharacteristic
43#16840458C2211yescharacteristic
44#16840455—21no—
45#16840454C2211yescharacteristic
46#16840447—21no—
47#16840446—21no—
48#16840446C2211yescharacteristic
49#16840435—21no—
50#16840435—21no—
51#16840431C2211yescharacteristic
52#16840423C2211yescharacteristic
53#16840400C2211yescharacteristic
54#16840400C2211yescharacteristic
55#16840385C2211yescharacteristic
56#16840381—21no—
57#16840381C2211yescharacteristic
58#16840373C2211yescharacteristic
59#16840365—21no—
60#16840365C2211yescharacteristic, complemented
61#16840356—21no—
62#16840349—21no—
63#16840298—21no—
64#16840298C2211yescharacteristic
65#16840298C2211yescharacteristic, complemented
66#16840292—21no—
67#16840292C2211yescharacteristic
68#16840289—21no—
69C2×#14519772—21no—
70#16840245C2211yescharacteristic
71#16840244C2211yescharacteristic
72#16840240C2211yescharacteristic, complemented
73#16840234C2211yescharacteristic
74#41×Dic61C2211yescharacteristic
75#41×Dic61C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840148C2211yescharacteristic
80#16840147C2211yescharacteristic
81#16840118C2211yescharacteristic
82#16840118C2211yescharacteristic
83#16840118C2211yescharacteristic, complemented
84#16840116C2211yescharacteristic, complemented
85#16840112C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic
88#16840100C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic
92#16840091C2211yescharacteristic
93#16840087C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840087C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic
97#16840078C2211yescharacteristic, complemented
98#16840076C2211yescharacteristic, complemented
99#16840071C2211yescharacteristic, complemented
100#16840071C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic
104#16840064C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic, complemented
106#16840060C2211yescharacteristic
107#16840055C2211yescharacteristic, complemented
108#16840052C2211yescharacteristic
109#16840045C2211yescharacteristic, complemented
110#16840043C2211yescharacteristic
111#16840017C2211yescharacteristic
112#16840015C2211yescharacteristic
113#16840005C2211yescharacteristic
114#16840000C2211yescharacteristic
115#16839998C2211yescharacteristic
116#16839996C2211yescharacteristic
117#16839993C2211yescharacteristic
118#16839993C2211yescharacteristic, complemented
119#16839993C2211yescharacteristic, complemented
120#16839988C2211yescharacteristic
121#16839986C2211yescharacteristic
122#16839986C2211yescharacteristic
123#16839986C2211yescharacteristic
124#16839986C2211yescharacteristic, complemented
125#16839979C2211yescharacteristic
126#16839979C2211yescharacteristic
127#16839974C2211yescharacteristic
128#16839964C2211yescharacteristic, complemented
129#16839960C2211yescharacteristic, complemented
130#16839955C2211yescharacteristic
131#16839923C2211yescharacteristic
132#16839923C2211yescharacteristic
133#16839911C2211yescharacteristic
134#16839907C2211yescharacteristic
135#16839907C2211yescharacteristic
136#16839907C2211yescharacteristic
137#16839901C2211yescharacteristic
138#16839894C2211yescharacteristic
139#16839890C2211yescharacteristic, complemented
140#16839886C2211yescharacteristic, complemented
141#16839875C2211yescharacteristic
142#16839871C2211yescharacteristic
143#16839871C2211yescharacteristic
144#16839869C2211yescharacteristic, complemented
145#16839869C2211yescharacteristic, complemented
146#16839869C2211yescharacteristic, complemented
147#16839865C2211yescharacteristic
148#16839865C2211yescharacteristic, complemented
149#16839863C2211yescharacteristic
150#16839863C2211yescharacteristic
151#16839863C2211yescharacteristic, complemented
152Q16×Dic61C2211yescharacteristic, complemented
153Q16×Dic61C2211yescharacteristic, complemented
154Q16×Dic61C2211yescharacteristic, complemented
155Q16×Dic61C2211yescharacteristic, complemented
156SD16×Dic61C2211yescharacteristic
157SD16×Dic61C2211yescharacteristic
158SD16×Dic61C2211yescharacteristic
159SD16×Dic61C2211yescharacteristic, complemented
160SD16×Dic61C2211yescharacteristic, complemented
161C4×#11758201C2211yescharacteristic
162#16839847C2211yescharacteristic
163#16839847C2211yescharacteristic, complemented
164D8×Dic61C2211yescharacteristic
165D8×Dic61C2211yescharacteristic
166#16839844C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839838C2211yescharacteristic
169#16839833C2211yescharacteristic
170D4×#92418C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic
172#16839825C2211yescharacteristic
173#16839822C2211yescharacteristic
174#16839820C2211yescharacteristic, complemented
175#16839816C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic
178#16839800C2211yescharacteristic, complemented
179#16839758C2211yescharacteristic
180#16839758C2211yescharacteristic
181#16839758C2211yescharacteristic, complemented
182#16839757C2211yescharacteristic
183C2×#14519701C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#16839720C2211yescharacteristic, complemented
186#16839719C2211yescharacteristic
187C2×C8×Dic61C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic
189C2×#135×C61C2211yescharacteristic
190C61×#548C2211yescharacteristic, complemented
191C61×#547C2211yescharacteristic
192C61×#497C2211yescharacteristic, complemented
193C61×#468C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#452C2211yescharacteristic, complemented
199C61×#451C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C61×#435C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×D4×D61C2311yescharacteristic
205#14519804—24no—
206C2×#11758201C2311yescharacteristic
207C2×#11758201C2311yescharacteristic
208C2×#11758201C2311yescharacteristic
209C2×#11758201C2311yescharacteristic
210C2×D488C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C22×#92418C2311yescharacteristic
215C22×#92418C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777—21no—
218#14519777C2311yescharacteristic
219#14519776C2311yescharacteristic
220#14519773—21no—
221#14519773C2311yescharacteristic
222#14519772—21no—
223#14519772—21no—
224#14519772—21no—
225#14519772—21no—
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772D411yescharacteristic
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770D411yescharacteristic
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519768—21no—
241#14519768—21no—
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767D411yescharacteristic
249#14519766—21no—
250#14519766C2311yescharacteristic
251#14519766C2311yescharacteristic
252#14519766C2311yescharacteristic
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763D411yescharacteristic
260#14519761—21no—
261#14519761—21no—
262#14519761—21no—
263#14519761—21no—
264#14519761—21no—
265#14519761—21no—
266#14519761D411yescharacteristic
267#14519760—21no—
268#14519760—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519758D411yescharacteristic
276#14519757—21no—
277#14519757—21no—
278#14519756—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754D411yescharacteristic
283#14519753—21no—
284#14519753C2311yescharacteristic
285#14519753C2311yescharacteristic
286#14519753C2311yescharacteristic
287#14519751—21no—
288#14519751—21no—
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519751C2311yescharacteristic
293#14519749—21no—
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519749D411yescharacteristic
298#14519748—21no—
299#14519748—21no—
300#14519748—21no—
301#14519748—21no—
302#14519748C2311yescharacteristic
303#14519745—21no—
304#14519745—21no—
305Q8×Dic61—21no—
306Q8×Dic61—21no—
307Q8×Dic61C2311yescharacteristic
308Q8×Dic61C2311yescharacteristic
309Q8×Dic61C2311yescharacteristic
310Q8×Dic61C2311yescharacteristic
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122—21no—
317C4×Dic122C2311yescharacteristic
318#14519742—21no—
319C4×D244—21no—
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322D4×Dic61—21no—
323D4×Dic61—21no—
324D4×Dic61—21no—
325D4×Dic61—21no—
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333#14519739—21no—
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519736—21no—
348#14519736—21no—
349#14519736—21no—
350#14519736—21no—
351#14519736—21no—
352#14519736C2311yescharacteristic
353#14519736C2311yescharacteristic
354#14519736C2311yescharacteristic
355#14519736C2311yescharacteristic
356#14519735—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735—21no—
360#14519735—21no—
361#14519735C2311yescharacteristic
362#14519734—21no—
363#14519734C2311yescharacteristic
364#14519733—21no—
365C2×C4⋊Dic61—21no—
366C2×C4⋊Dic61C2311yescharacteristic
367C2×#11758196—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C2×#11758198—21no—
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61—21no—
375C2×C4×Dic61—21no—
376C2×C4×Dic61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519701C2311yescharacteristic
398#14519701C2311yescharacteristic
399#14519701C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519687C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430C4×#92418C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61C2311yescharacteristic
437C2×#41×C61C2311yescharacteristic
438C2×#41×C61C2311yescharacteristic
439C22×Q8×C61C2311yescharacteristic
440#137×C61—24no—
441#135×C61—24no—
442C2×Q16×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×M16×C61C2311yescharacteristic
452C22×C8×C61C2311yescharacteristic
453C4⋊Q8×C61C2311yescharacteristic
454#124×C61—21no—
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61—21no—
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61—21no—
464#121×C61C2311yescharacteristic
465C4×Q8×C61C2311yescharacteristic
466C4×D4×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469C2×C4⋊C4×C61—21no—
470#107×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C23×D61—21no—
482#41×C61—22no—
483#41×C61—22no—
484#41×C61—22no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—41no—
488C2×Q8×C61—21no—
489C2×Q8×C61—22no—
490C2×Q8×C61—41no—
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61C2×D411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
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—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61C2×D411yescharacteristic
518C2×C22⋊D61C2×D411yescharacteristic
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61C2×D411yescharacteristic
526C22×Dic61C2×D411yescharacteristic
527#11758226—22no—
528#11758226—41no—
529D4×D61—22no—
530D4×D61—41no—
531C2×D244—21no—
532C2×D244C2411yescharacteristic
533C2×D244C2411yescharacteristic
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×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122C2×D411yescharacteristic
544Q16×C61—22no—
545Q16×C61—22no—
546Q16×C61—22no—
547Q16×C61—41no—
548SD16×C61—22no—
549SD16×C61—22no—
550SD16×C61—41no—
551SD16×C61#4114yes—
552D8×C61—22no—
553M16×C61—22no—
554C2×C8×C61—22no—
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61C2×D411yescharacteristic
576C22⋊C4×C61C2×D411yescharacteristic
577C42×C61—21no—
578C42×C61C2411yescharacteristic
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758201—22no—
593#11758201—41no—
594#11758201—41no—
595#11758201—41no—
596#11758199—22no—
597#11758199—41no—
598#11758198—21no—
599#11758198—21no—
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#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61C2×D411yescharacteristic
635C4⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2×D411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
641C4⋊Dic61C2411yescharacteristic
642C4⋊Dic61C2411yescharacteristic
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C2×#92418—41no—
678C2×#92418—41no—
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683D488—22no—
684#11758189—22no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61C22×D411yescharacteristic
689C23×C61C22×D411yescharacteristic
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—42no—
693C22×D61—81no—
694C22×D61—81no—
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—42no—
704Q8×C61C2×#4112yes—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—41no—
709D4×C61—42no—
710D4×C61—42no—
711D4×C61—42no—
712D4×C61—81no—
713D4×C61C2×#4112yes—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—42no—
725C2×C4×C61—42no—
726C2×C4×C61—42no—
727C2×C4×C61—42no—
728C2×C4×C61—81no—
729C2×C4×C61C22×D411yescharacteristic
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C2511yescharacteristic
734C22⋊D61—41no—
735C22⋊D61—41no—
736C22⋊D61—42no—
737C22⋊D61—81no—
738C22⋊D61—81no—
739C22⋊D61—81no—
740C22⋊D61—81no—
741C22⋊D61—81no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—41no—
751C2×Dic61—41no—
752C2×Dic61—81no—
753C2×Dic61—81no—
754C2×Dic61—81no—
755C2×Dic61—81no—
756C2×Dic61—81no—
757C2×Dic61—81no—
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765D244—21no—
766D244—21no—
767D244—21no—
768D244—21no—
769D244—42no—
770C4×D61—21no—
771C4×D61—21no—
772C4×D61—42no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777C4×D61—81no—
778Dic122—41no—
779Dic122—81no—
780Dic122—81no—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61C2×#4112yes—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418—21no—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—22no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61C23×D411yescharacteristic
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—22no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61C22×#4111yescharacteristic
824C4×C61#58511yescharacteristic
825Dic61—21no—
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—21no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401—611no—
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347—611no—
847#3304—611no—
848#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269D6111yescharacteristic, complemented
855#3268—611no—
856#3179—611no—
857#3178—611no—
858#3168—611no—
859#3121—611no—
860#3120—611no—
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—42no—
870C2×C61—41no—
871C2×C61—41no—
872C2×C61—81no—
873C2×C61D4×#4111yescharacteristic
874C2×C61#358411yescharacteristic
875C2×C61#358411yescharacteristic
876D61—41no—
877D61—81no—
878D61—81no—
879C2×#137C2×D6111yescharacteristic
880C2×AGL(1,ℤ/8)—611no—
881C2×#135C2×D6111yescharacteristic
882#559—611no—
883#559—1221no—
884#557—611no—
885#556—611no—
886#556—611no—
887#555—611no—
888#555—1221no—
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548C2×D6111yescharacteristic, complemented
903#547C2×D6111yescharacteristic
904#546—611no—
905#546—611no—
906#542—611no—
907#542—611no—
908#542—1221no—
909#541—611no—
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519—611no—
924#518—611no—
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501—611no—
929#499—611no—
930#497C2×D6111yescharacteristic, complemented
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487—611no—
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477—611no—
960#476—611no—
961#475—611no—
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468C2×D6111yescharacteristic, complemented
967#467—611no—
968#467C2×D6111yescharacteristic, complemented
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463C2×D6111yescharacteristic
983#462C2×D6111yescharacteristic, complemented
984#461—611no—
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452C2×D6111yescharacteristic
990#452C2×D6111yescharacteristic, complemented
991#451C2×D6111yescharacteristic, complemented
992#450—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449C2×D6111yescharacteristic
997#448—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440C2×D6111yescharacteristic
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436—611no—
1030#435—611no—
1031#435C2×D6111yescharacteristic, complemented
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433—611no—
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41C22×D6111yescharacteristic
1053C2×#41C22×D6111yescharacteristic
1054C2×#41C22×D6111yescharacteristic
1055C22×Q8C22×D6111yescharacteristic
1056C22×D4—611no—
1057#137—24no—
1058AGL(1,ℤ/8)—1224no—
1059#135—24no—
1060C2×Q16C22×D6111yescharacteristic
1061C2×Q16C22×D6111yescharacteristic
1062C2×Q16C22×D6111yescharacteristic
1063C2×Q16C22×D6111yescharacteristic
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16C22×D6111yescharacteristic
1069C2×SD16C22×D6111yescharacteristic
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8C22×D6111yescharacteristic
1076C2×M16—611no—
1077C2×M16C22×D6111yescharacteristic
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8C22×D6111yescharacteristic
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—611no—
1089#126—611no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124C22×D6111yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—611no—
1131#123—611no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—21no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8C22×D6111yescharacteristic
1159C22⋊Q8C22×D6111yescharacteristic
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
1168#121—611no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121C22×D6111yescharacteristic
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—1221no—
1193C4×Q8—1221no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8C22×D6111yescharacteristic
1197C4×D4—21no—
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—611no—
1208C4×D4—611no—
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×D4—1221no—
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
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#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C22⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8C22×D6111yescharacteristic
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8—611no—
1329C24—1221no—
1330#41—22no—
1331#41—22no—
1332#41—22no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—1222no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—22no—
1340C2×Q8—41no—
1341C2×Q8—611no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8C23×D6111yescharacteristic
1345C2×Q8C23×D6111yescharacteristic
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1222no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—2441no—
1367C2×D4D4×D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—22no—
1393Q16—22no—
1394Q16—22no—
1395Q16—41no—
1396SD16—22no—
1397SD16—22no—
1398SD16—41no—
1399SD16—1222no—
1400SD16—2441no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16#1175822414yes—
1404D8—22no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—22no—
1409M16—1222no—
1410C2×C8—22no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—2441no—
1416C2×C8—2441no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—611no—
1516C42—611no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23—4881no—
1540C23—4881no—
1541C23—2442no—
1542C23C2×D4×D6111yescharacteristic
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—42no—
1552Q8—4881no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8C2×#1175822412yes—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—42no—
1561D4—42no—
1562D4—42no—
1563D4—81no—
1564D4—1221no—
1565D4—1221no—
1566D4—1221no—
1567D4—1221no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—2442no—
1576D4—2441no—
1577D4—2441no—
1578D4—2442no—
1579D4C2×#1175822412yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—42no—
1593C2×C4—42no—
1594C2×C4—81no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—611no—
1601C2×C4—611no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—4881no—
1618C2×C4—4881no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—2442no—
1622C2×C4—2441no—
1623C2×C4—2441no—
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8C2×#1175822412yes—
1637C22—21no—
1638C22—21no—
1639C22—22no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—1221no—
1650C22—1221no—
1651C22—1221no—
1652C22—9762no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—22no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—1221no—
1671C4—1221no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C22×#1175822411yescharacteristic
1684C4#1684059711yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—4881no—
1690C2—4881no—
1691C2—2441no—
1692C2D4×#1175822411yescharacteristic
1693C2#2146058911yescharacteristic
1694C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3269C2
socleC22×C61C23×D4
hypercenter#3269D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #21459929C2semidirect
2. #21459888C2semidirect
3. #21458884C2semidirect
4. #21458765C2semidirect
5. #21458508C2semidirect
6. #21458474C2semidirect
7. #21458385C2semidirect
8. #21458355C2semidirect
9. #21458321C2semidirect
10. #21457751C2semidirect
11. #21457747C2semidirect
12. #21457721C2semidirect
13. #21457710C2semidirect
14. #21457662C2semidirect
15. #21457647C2semidirect
16. #21457444C2semidirect
17. #21457359C2semidirect
18. #21456495C2semidirect
19. #21456484C2semidirect
20. #21456390C2semidirect
21. #21456049C2semidirect
22. #21456032C2semidirect
23. #21456011C2semidirect
24. #21456000C2semidirect
25. #21455929C2semidirect
26. #21455929C2semidirect
27. #21454789C2semidirect
28. #21454663C2semidirect
29. #21454650C2semidirect
30. #135×Dic61C2semidirect
31. C61×#3269C2semidirect
34. #16840494C22semidirect
35. #16840491C22semidirect
39. #16840477C22semidirect
60. #16840365C22semidirect
65. #16840298C22semidirect
72. #16840240C22semidirect
75. #41×Dic61C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840163C22semidirect
83. #16840118C22semidirect
84. #16840116C22semidirect
85. #16840112C22semidirect
86. #16840107C22semidirect
88. #16840100C22semidirect
89. #16840100C22semidirect
90. #16840100C22semidirect
95. #16840087C22semidirect
97. #16840078C22semidirect
98. #16840076C22semidirect
99. #16840071C22semidirect
100. #16840071C22semidirect
101. #16840071C22semidirect
102. #16840069C22semidirect
104. #16840064C22semidirect
105. #16840063C22semidirect
107. #16840055C22semidirect
109. #16840045C22semidirect
118. #16839993C22semidirect
119. #16839993C22semidirect
124. #16839986C22semidirect
128. #16839964C22semidirect
129. #16839960C22semidirect
139. #16839890C22semidirect
140. #16839886C22semidirect
144. #16839869C22semidirect
145. #16839869C22semidirect
146. #16839869C22semidirect
148. #16839865C22semidirect
151. #16839863C22semidirect
152. Q16×Dic61C22semidirect
153. Q16×Dic61C22semidirect
154. Q16×Dic61C22semidirect
155. Q16×Dic61C22semidirect
159. SD16×Dic61C22semidirect
160. SD16×Dic61C22semidirect
163. #16839847C22semidirect
170. D4×#92418C22semidirect
174. #16839820C22semidirect
175. #16839816C22semidirect
176. #16839804C22semidirect
178. #16839800C22semidirect
181. #16839758C22semidirect
183. C2×#14519701C22semidirect
185. #16839720C22semidirect
187. C2×C8×Dic61C22semidirect
190. C61×#548C22semidirect
192. C61×#497C22semidirect
193. C61×#468C22semidirect
194. C61×#467C22semidirect
196. C61×#462C22semidirect
198. C61×#452C22semidirect
199. C61×#451C22semidirect
202. C61×#435C22semidirect
854. #3269D61semidirect
902. #548C2×D61semidirect
930. #497C2×D61semidirect
966. #468C2×D61semidirect
968. #467C2×D61semidirect
983. #462C2×D61semidirect
990. #452C2×D61semidirect
991. #451C2×D61semidirect
1031. #435C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599292
#214598882
#214588842
#214587652
#214585082
#214584742
#214583852
#214583552
#214583212
#214577512
#214577472
#214577212
#214577102
#214576622
#214576472
#214574442
#214573592
#214564952
#214564842
#214563902
#214560492
#214560322
#214560112
#214560002
#214559292
#214547892
#214546632
#214546502
#135×Dic612
C61×#32692
#6150061