Finite Group Databasebeta

← #30570947

Subgroups — #30570947

Order 15616.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460212C211yesmaximal, characteristic, complemented
2#21459644C211yesmaximal, characteristic, complemented
3#21458779C211yesmaximal, characteristic, complemented
4#21458777C211yesmaximal, characteristic, complemented
5#21458776C211yesmaximal, characteristic, complemented
6#21458772C211yesmaximal, characteristic, complemented
7#21458769C211yesmaximal, characteristic, complemented
8#21458765C211yesmaximal, characteristic, complemented
9#21458760C211yesmaximal, characteristic, complemented
10#21458758C211yesmaximal, characteristic, complemented
11#21458552C211yesmaximal, characteristic, complemented
12#21458543C211yesmaximal, characteristic, complemented
13#21458543C211yesmaximal, characteristic, complemented
14#21458531C211yesmaximal, characteristic, complemented
15#21458523C211yesmaximal, characteristic, complemented
16#21458523C211yesmaximal, characteristic, complemented
17#21458522C211yesmaximal, characteristic, complemented
18#21457079C211yesmaximal, characteristic, complemented
19#21457069C211yesmaximal, characteristic, complemented
20#21457067C211yesmaximal, characteristic, complemented
21#21457065C211yesmaximal, characteristic, complemented
22#21457007C211yesmaximal, characteristic, complemented
23#21457004C211yesmaximal, characteristic, complemented
24#21456024C211yesmaximal, characteristic, complemented
25#21456017C211yesmaximal, characteristic, complemented
26#21456017C211yesmaximal, characteristic, complemented
27#21456016C211yesmaximal, characteristic, complemented
28#21455969C211yesmaximal, characteristic, complemented
29#21455968C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3368C211yesmaximal, characteristic, complemented
32#16840507—21no—
33#16840507—21no—
34#16840491C2211yescharacteristic
35#16840488C2211yescharacteristic
36#16840488C2211yescharacteristic
37#16840473—21no—
38#16840473C2211yescharacteristic
39#16840472—21no—
40#16840472C2211yescharacteristic
41#16840472C2211yescharacteristic
42#16840471C2211yescharacteristic
43#16840471C2211yescharacteristic
44#16840469C2211yescharacteristic
45#16840468—21no—
46#16840468—21no—
47#16840468C2211yescharacteristic
48#16840468C2211yescharacteristic
49#16840432C2211yescharacteristic
50#16840432C2211yescharacteristic
51#16840432C2211yescharacteristic
52#16840412—21no—
53#16840411—21no—
54#16840392—21no—
55#16840392C2211yescharacteristic
56#16840389—21no—
57#16840389C2211yescharacteristic
58#16840366C2211yescharacteristic
59#16840366C2211yescharacteristic
60#16840363C2211yescharacteristic
61#16840363C2211yescharacteristic
62#16840341—21no—
63#16840340—21no—
64#16840339—21no—
65#16840339—21no—
66#16840316—21no—
67#16840316C2211yescharacteristic
68#16840310C2211yescharacteristic
69#16840309C2211yescharacteristic
70#125×D61—21no—
71#125×D61C2211yescharacteristic
72#16840244C2211yescharacteristic
73#16840244C2211yescharacteristic
74C4×#11758226C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840170C2211yescharacteristic
80#16840169C2211yescharacteristic
81#16840169C2211yescharacteristic
82#16840168C2211yescharacteristic
83#16840164C2211yescharacteristic
84#16840163C2211yescharacteristic
85#16840163C2211yescharacteristic
86#16840161C2211yescharacteristic
87#16840126C2211yescharacteristic
88#16840126C2211yescharacteristic
89#16840125C2211yescharacteristic
90#16840125C2211yescharacteristic
91#16840125C2211yescharacteristic
92#16840125C2211yescharacteristic
93#16840108C2211yescharacteristic
94#16840107C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840089C2211yescharacteristic
97#16840085C2211yescharacteristic
98#16840084C2211yescharacteristic
99#16840084C2211yescharacteristic
100#16840082C2211yescharacteristic
101#16840079C2211yescharacteristic
102#16840079C2211yescharacteristic
103#16840079C2211yescharacteristic
104#16840077C2211yescharacteristic
105#16840074C2211yescharacteristic
106#16840074C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840071C2211yescharacteristic
109#16840069C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840067C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840064C2211yescharacteristic
116#16840064C2211yescharacteristic
117#16840063C2211yescharacteristic
118#16840063C2211yescharacteristic
119#16840063C2211yescharacteristic
120#16840063C2211yescharacteristic
121#16840062C2211yescharacteristic
122#16840062C2211yescharacteristic
123#16840061C2211yescharacteristic
124#16840060C2211yescharacteristic
125#16840060C2211yescharacteristic
126#16840060C2211yescharacteristic
127#16840060C2211yescharacteristic
128#16840059C2211yescharacteristic
129#16840059C2211yescharacteristic
130#16840052C2211yescharacteristic
131#16840050C2211yescharacteristic
132#16840050C2211yescharacteristic
133#16840049C2211yescharacteristic
134#16840047C2211yescharacteristic
135#16840045C2211yescharacteristic
136#16840043C2211yescharacteristic
137#16840043C2211yescharacteristic
138#16840041C2211yescharacteristic
139#16840040C2211yescharacteristic
140#16840040C2211yescharacteristic
141#16839960C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839960C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839956C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839954C2211yescharacteristic
148#16839954C2211yescharacteristic
149#16839954C2211yescharacteristic
150#16839910C2211yescharacteristic
151#16839906C2211yescharacteristic
152#16839906C2211yescharacteristic
153#16839906C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839875C2211yescharacteristic
162#16839875C2211yescharacteristic
163#16839872C2211yescharacteristic
164#16839872C2211yescharacteristic
165#16839871C2211yescharacteristic
166#16839871C2211yescharacteristic
167#16839871C2211yescharacteristic
168#16839871C2211yescharacteristic
169#16839863C2211yescharacteristic
170#16839863C2211yescharacteristic
171#16839863C2211yescharacteristic
172#16839863C2211yescharacteristic
173#16839860C2211yescharacteristic
174#16839860C2211yescharacteristic
175SD16×Dic61C2211yescharacteristic
176SD16×Dic61C2211yescharacteristic
177C4×#11758201C2211yescharacteristic
178C4×D488C2211yescharacteristic
179C4×#11758199C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#557C2211yescharacteristic
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#490C2211yescharacteristic
192C61×#486C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#474C2211yescharacteristic
196C61×#460C2211yescharacteristic
197C61×#460C2211yescharacteristic
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758201C2311yescharacteristic
210C2×D488C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519777—21no—
215#14519777C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776D411yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519775D411yescharacteristic
226#14519773C2311yescharacteristic
227#14519773C2311yescharacteristic
228#14519773C2311yescharacteristic
229#14519769—21no—
230#14519769—21no—
231#14519769C2311yescharacteristic
232#14519769C2311yescharacteristic
233#14519769C2311yescharacteristic
234#14519769C2311yescharacteristic
235#14519768—21no—
236#14519768—21no—
237#14519768—21no—
238#14519768—21no—
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767D411yescharacteristic
250#14519767D411yescharacteristic
251#14519764—21no—
252#14519763—21no—
253#14519760—21no—
254#14519760—21no—
255#14519759—21no—
256#14519759—21no—
257#14519758—21no—
258#14519758—21no—
259#14519758—21no—
260#14519758—21no—
261#14519757—21no—
262#14519757—21no—
263#14519757—21no—
264#14519757—21no—
265#14519757D411yescharacteristic
266#14519756—21no—
267#14519756—21no—
268#14519756—21no—
269#14519755—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755D411yescharacteristic
280#14519755D411yescharacteristic
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519753—21no—
288#14519753—21no—
289#14519753—21no—
290#14519753—21no—
291#14519753—21no—
292#14519753D411yescharacteristic
293#14519752C2311yescharacteristic
294#14519751—21no—
295#14519751—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519748—21no—
310#14519748—21no—
311#14519748—21no—
312#14519748—21no—
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315#14519748C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×D244—21no—
326C4×D244—21no—
327C4×D244—21no—
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739—21no—
343#14519739—21no—
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347C4×C22⋊D61—21no—
348#14519735—21no—
349#14519735C2311yescharacteristic
350#14519734—21no—
351#14519734—21no—
352#14519734C2311yescharacteristic
353#14519734C2311yescharacteristic
354C2×C4⋊Dic61—21no—
355C2×#11758196—21no—
356C2×#11758196—21no—
357C4⋊C4×D61—21no—
358C4⋊C4×D61—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C42×D61—21no—
369C42×D61C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
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#14519698C2311yescharacteristic
410#14519698C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C4⋊Q8×C61—21no—
440C4⋊Q8×C61C2311yescharacteristic
441#127×C61C2311yescharacteristic
442#127×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#125×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448#121×C61—21no—
449#121×C61—21no—
450#121×C61—21no—
451C4×Q8×C61—21no—
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478#41×C61—82no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509#11758226—22no—
510#11758226—22no—
511#11758224—82no—
512#11758224—82no—
513#11758224—82no—
514#11758224—82no—
515#11758222—82no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
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×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2×D411yescharacteristic
543SD16×C61—22no—
544SD16×C61—22no—
545SD16×C61—22no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C42×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61C2411yescharacteristic
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583#11758201—22no—
584#11758199—22no—
585#11758199—22no—
586#11758199—22no—
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#11758198C2×D411yescharacteristic
599#11758198C2×D411yescharacteristic
600#11758198C2×D411yescharacteristic
601#11758198C2×D411yescharacteristic
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
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#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664D488—22no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61C22×D411yescharacteristic
671Q8×C61—21no—
672Q8×C61—41no—
673Q8×C61—81no—
674Q8×C612−1+412yes—
675D4×C61—21no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—21no—
681D4×C61—42no—
682D4×C61—81no—
683D4×C61—81no—
684D4×C61—81no—
685D4×C61—81no—
686D4×C61—81no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—42no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C2511yescharacteristic
702C22⋊D61—42no—
703C22⋊D61—81no—
704C22⋊D61—81no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—42no—
718C2×Dic61—42no—
719C2×Dic61—81no—
720C2×Dic61—81no—
721C2×Dic61—81no—
722C2×Dic61—81no—
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730D244—24no—
731D244—21no—
732D244—21no—
733D244—21no—
734D244—81no—
735D2442−1+412yes—
736C4×D61—24no—
737C4×D61—21no—
738C4×D61—21no—
739C4×D61—41no—
740C4×D61—41no—
741C4×D61—42no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752Dic122—41no—
753Dic122—41no—
754Dic122—41no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic122—81no—
760C8×C61—21no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#61876—611nomaximal, Sylow
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61C23×D411yescharacteristic
779C2×D61—21no—
780C2×D61—21no—
781C2×D61—21no—
782C2×D61—22no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—22no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61C2×2−1+411yescharacteristic
800C4×C61C2×2−1+411yescharacteristic
801Dic61—21no—
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—41no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814#3548—611no—
815#3504—611no—
816#3389—611no—
817#3389—611no—
818#3389—611no—
819#3389—611no—
820#3388—611no—
821#3388—611no—
822#3388—611no—
823#3388—611no—
824#3368—611no—
825#3368—611no—
826#3368—611no—
827#3368D6111yescharacteristic, complemented
828#3366—611no—
829#3366—611no—
830#3366—611no—
831#3366—611no—
832#3241—611no—
833#3241—611no—
834#3241—611no—
835#3241—611no—
836#3234—611no—
837#3234—611no—
838#3119—611no—
839#3119—611no—
840#3119—611no—
841#3119—611no—
842#3115—611no—
843#3115—611no—
844#2987—611no—
845C2×C61—81no—
846C2×C61—81no—
847C2×C61—81no—
848C2×C61#348611yescharacteristic
849C2×C61#358511yescharacteristic
850C2×C61#358511yescharacteristic
851D61—41no—
852D61—42no—
853D61—81no—
854#562—1221no—
855#562—1221no—
856#557—611no—
857#557—611no—
858#557—611no—
859#557C2×D6111yescharacteristic
860#554—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—1221no—
869#554—1221no—
870#554—1221no—
871#554—1221no—
872#550—611no—
873#550—611no—
874#550—611no—
875#550C2×D6111yescharacteristic
876#547—1221no—
877#547—1221no—
878#544—611no—
879#544—611no—
880#544—1221no—
881#544—1221no—
882#540—611no—
883#540—611no—
884#540—611no—
885#540—611no—
886#537—1221no—
887#537—1221no—
888#537—1221no—
889#537—1221no—
890#533—611no—
891#533—1221no—
892#532—611no—
893#532—611no—
894C2×#125—611no—
895C2×#125—1221no—
896#520—611no—
897#520—611no—
898C4×#41—611no—
899#501—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501—611no—
906#501—611no—
907#499—611no—
908#499—611no—
909#499—611no—
910#499—611no—
911#490—611no—
912#490—611no—
913#490—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490C2×D6111yescharacteristic
918#490C2×D6111yescharacteristic
919#486—611no—
920#486—611no—
921#486—611no—
922#486C2×D6111yescharacteristic
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#481—611no—
928#481—611no—
929#481—611no—
930#481—611no—
931#480—611no—
932#480—611no—
933#480—611no—
934#480—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—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#478—611no—
956#478—611no—
957#478C2×D6111yescharacteristic
958#478C2×D6111yescharacteristic
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#475—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474C2×D6111yescharacteristic
971#460—611no—
972#460—611no—
973#460—611no—
974#460C2×D6111yescharacteristic
975#460C2×D6111yescharacteristic
976#460C2×D6111yescharacteristic
977#459—611no—
978#459—611no—
979#459—611no—
980#459—611no—
981#459—611no—
982#459—611no—
983#449—611no—
984#449—611no—
985#449—611no—
986#449—611no—
987#446—611no—
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992#446—611no—
993#446—611no—
994#446C2×D6111yescharacteristic
995#442—611no—
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442—611no—
1002#442—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440C2×D6111yescharacteristic
1010#440C2×D6111yescharacteristic
1011C4×SD16—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×SD16C2×D6111yescharacteristic
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#433—611no—
1020#433—611no—
1021#433—611no—
1022#433—611no—
1023#432—611no—
1024#432—611no—
1025C61#6187611yescharacteristic, complemented, Sylow
1026C2×#41—21no—
1027C2×#41—611no—
1028C2×#41—1221no—
1029C2×#41—1221no—
1030C2×#41—1221no—
1031C2×#41—1221no—
1032C2×#41—1221no—
1033C2×SD16—611no—
1034C2×SD16C22×D6111yescharacteristic
1035C2×SD16C22×D6111yescharacteristic
1036C2×SD16C22×D6111yescharacteristic
1037C2×D8—611no—
1038C2×D8—611no—
1039C2×D8—611no—
1040C2×D8—611no—
1041C4⋊Q8—21no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—611no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8C22×D6111yescharacteristic
1055#127—611no—
1056#127—611no—
1057#127—611no—
1058#127C22×D6111yescharacteristic
1059#127C22×D6111yescharacteristic
1060#127C22×D6111yescharacteristic
1061#125—21no—
1062#125—21no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—611no—
1074#125—611no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125—1221no—
1085#125C22×D6111yescharacteristic
1086#125C22×D6111yescharacteristic
1087#124—1221no—
1088#124—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097C22⋊Q8—611no—
1098C22⋊Q8—611no—
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129#121—21no—
1130#121—21no—
1131#121—21no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155C4×Q8—21no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×Q8C22×D6111yescharacteristic
1167C4×Q8C22×D6111yescharacteristic
1168C4×Q8C22×D6111yescharacteristic
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4C22×D6111yescharacteristic
1193C4×D4C22×D6111yescharacteristic
1194C4×D4C22×D6111yescharacteristic
1195#117—611no—
1196#117—611no—
1197#117—611no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—611no—
1203C2×C4⋊C4—1221no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C4⋊C4—1221no—
1211C2×C4⋊C4—1221no—
1212C2×C4⋊C4—1221no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C42—611no—
1216C2×C42—1221no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107C22×D6111yescharacteristic
1228#107C22×D6111yescharacteristic
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240#106C22×D6111yescharacteristic
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8C22×D6111yescharacteristic
1251C4⋊C8C22×D6111yescharacteristic
1252C4⋊C8C22×D6111yescharacteristic
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103C22×D6111yescharacteristic
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102C22×D6111yescharacteristic
1277#102C22×D6111yescharacteristic
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8—611no—
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97C22×D6111yescharacteristic
1296#97C22×D6111yescharacteristic
1297C4×C8—611no—
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8C22×D6111yescharacteristic
1301#41—82no—
1302#41—1222no—
1303#41—1222no—
1304#41—4882no—
1305#41—4882no—
1306#41—4882no—
1307#41—4882no—
1308#41—4882no—
1309C2×Q8—21no—
1310C2×Q8—611no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—1221no—
1314C2×Q8—1221no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8D4×D6111yescharacteristic
1319C2×Q8C23×D6111yescharacteristic
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—611no—
1327C2×D4—611no—
1328C2×D4—1221no—
1329C2×D4—1221no—
1330C2×D4—1221no—
1331C2×D4—1221no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4C23×D6111yescharacteristic
1340C2×D4C23×D6111yescharacteristic
1341C2×D4C23×D6111yescharacteristic
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—1221no—
1349C22×C4—1221no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
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—
1366SD16—22no—
1367SD16—22no—
1368SD16—22no—
1369SD16—1222no—
1370D8—1222no—
1371D8—1222no—
1372D8—1222no—
1373D8—1222no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8—611no—
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C2×C8C23×D6111yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
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—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1440C4⋊C4D4×D6111yescharacteristic
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—611no—
1450C22⋊C4—611no—
1451C22⋊C4—611no—
1452C22⋊C4—611no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C42—21no—
1474C42—21no—
1475C42—21no—
1476C42—611no—
1477C42—611no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42C23×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—611no—
1492C23—1221no—
1493C23—1221no—
1494Q8—21no—
1495Q8—41no—
1496Q8—81no—
1497Q8—4881no—
1498Q8—4881no—
1499Q8—4881no—
1500Q8—4881no—
1501Q8—4881no—
1502Q8—2441no—
1503Q8—2441no—
1504Q8—2441no—
1505Q8#1451982412yes—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—21no—
1510D4—21no—
1511D4—21no—
1512D4—42no—
1513D4—81no—
1514D4—81no—
1515D4—81no—
1516D4—81no—
1517D4—81no—
1518D4—612no—
1519D4—1224no—
1520D4—1221no—
1521D4—1221no—
1522D4—1221no—
1523D4—4881no—
1524D4—4881no—
1525D4—4881no—
1526D4—4881no—
1527D4—4881no—
1528D4—4881no—
1529D4—4881no—
1530D4—4881no—
1531D4—4881no—
1532D4—2442no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—42no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—611no—
1542C2×C4—611no—
1543C2×C4—611no—
1544C2×C4—611no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—1224no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—4881no—
1558C2×C4—4881no—
1559C2×C4—4881no—
1560C2×C4—4881no—
1561C2×C4—4881no—
1562C2×C4—4881no—
1563C2×C4—4881no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—2441no—
1572C2×C4—2441no—
1573C2×C4—2442no—
1574C2×C4—2442no—
1575C2×C4—2442no—
1576C2×C4C2×D4×D6111yescharacteristic
1577C2×C4C2×D4×D6111yescharacteristic
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C24×D6111yescharacteristic
1583C8—21no—
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—1221no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—1222no—
1601C22—1221no—
1602C22—1221no—
1603C22—1221no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22C22×D4×D6111yescharacteristic
1610C4—22no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—1221no—
1622C4—1221no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—2441no—
1629C4—2441no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C42−1+4×D6111yescharacteristic
1635C4C2×#1451982411yescharacteristic
1636C2—81no—
1637C2—81no—
1638C2—81no—
1639C2—4881no—
1640C2—2441no—
1641C2—2442no—
1642C2#2145946511yescharacteristic
1643C2#2146059511yescharacteristic
1644C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3368C2
socleC22×C61C23×D4
hypercenter#3368D61
hypocenterC61#61876
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3368

Complements

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

NH ≅ G/Ntype
1. #21460212C2semidirect
2. #21459644C2semidirect
3. #21458779C2semidirect
4. #21458777C2semidirect
5. #21458776C2semidirect
6. #21458772C2semidirect
7. #21458769C2semidirect
8. #21458765C2semidirect
9. #21458760C2semidirect
10. #21458758C2semidirect
11. #21458552C2semidirect
12. #21458543C2semidirect
13. #21458543C2semidirect
14. #21458531C2semidirect
15. #21458523C2semidirect
16. #21458523C2semidirect
17. #21458522C2semidirect
18. #21457079C2semidirect
19. #21457069C2semidirect
20. #21457067C2semidirect
21. #21457065C2semidirect
22. #21457007C2semidirect
23. #21457004C2semidirect
24. #21456024C2semidirect
25. #21456017C2semidirect
26. #21456017C2semidirect
27. #21456016C2semidirect
28. #21455969C2semidirect
29. #21455968C2semidirect
30. #21454922C2semidirect
31. C61×#3368C2semidirect
827. #3368D61semidirect
1025. C61#61876semidirect

Maximal subgroups

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

subgroupindex
#214602122
#214596442
#214587792
#214587772
#214587762
#214587722
#214587692
#214587652
#214587602
#214587582
#214585522
#214585432
#214585312
#214585232
#214585222
#214570792
#214570692
#214570672
#214570652
#214570072
#214570042
#214560242
#214560172
#214560162
#214559692
#214559682
#214549222
C61×#33682
#6187661