Finite Group Databasebeta

← #30560349

Subgroups — #30560349

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459667C211yesmaximal, characteristic, complemented
2#21459636C211yesmaximal, characteristic, complemented
3#21458614C211yesmaximal, characteristic, complemented
4#21458613C211yesmaximal, characteristic, complemented
5#21458608C211yesmaximal, characteristic, complemented
6#21458607C211yesmaximal, characteristic, complemented
7#21458592C211yesmaximal, characteristic, complemented
8#21458587C211yesmaximal, characteristic, complemented
9#21458584C211yesmaximal, characteristic, complemented
10#21458560C211yesmaximal, characteristic, complemented
11#21458554C211yesmaximal, characteristic, complemented
12#21458529C211yesmaximal, characteristic, complemented
13#21458523C211yesmaximal, characteristic, complemented
14#21458488C211yesmaximal, characteristic, complemented
15#21458485C211yesmaximal, characteristic, complemented
16#21458471C211yesmaximal, characteristic, complemented
17#21458465C211yesmaximal, characteristic, complemented
18#21456211C211yesmaximal, characteristic, complemented
19#21456174C211yesmaximal, characteristic, complemented
20#21456172C211yesmaximal, characteristic, complemented
21#21455684C211yesmaximal, characteristic, complemented
22#21455682C211yesmaximal, characteristic, complemented
23#476×D61C211yesmaximal, characteristic, complemented
24#21455361C211yesmaximal, characteristic, complemented
25#21455355C211yesmaximal, characteristic, complemented
26#21455273C211yesmaximal, characteristic, complemented
27#21454764C211yesmaximal, characteristic, complemented
28#21454699C211yesmaximal, characteristic, complemented
29#21454697C211yesmaximal, characteristic, complemented
30#21454624C211yesmaximal, characteristic, complemented
31C61×#3371C211yesmaximal, characteristic, complemented
32C2×#14519804C2211yescharacteristic
33C2×#14519800C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840497C2211yescharacteristic
36#16840495C2211yescharacteristic
37#16840494C2211yescharacteristic
38Q8×Dic122C2211yescharacteristic, complemented
39Q8×Dic122C2211yescharacteristic, complemented
40#16840491C2211yescharacteristic, complemented
41#16840484C2211yescharacteristic
42#16840481C2211yescharacteristic
43#16840474—21no—
44#16840468—21no—
45#16840468—21no—
46#16840468C2211yescharacteristic, complemented
47#16840468C2211yescharacteristic, complemented
48#16840461—21no—
49#16840457—21no—
50#16840433C2211yescharacteristic
51#16840432C2211yescharacteristic
52Q8×D244—21no—
53Q8×D244C2211yescharacteristic, complemented
54#16840427—21no—
55#16840427C2211yescharacteristic, complemented
56#16840410—21no—
57#16840392—21no—
58#16840392—21no—
59#16840392C2211yescharacteristic
60#16840392C2211yescharacteristic
61#16840348—21no—
62#16840346—21no—
63#16840330C2211yescharacteristic
64#16840325C2211yescharacteristic
65#16840316—21no—
66#16840316C2211yescharacteristic
67#16840311C2211yescharacteristic
68C4⋊Q8×D61—21no—
69C4⋊Q8×D61C2211yescharacteristic
70#16840271—21no—
71#16840270—21no—
72#16840244C2211yescharacteristic
73#16840244C2211yescharacteristic
74#16840244C2211yescharacteristic
75#16840241C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×D4×D61C2211yescharacteristic
78#16840128C2211yescharacteristic
79#16840125C2211yescharacteristic
80#16840125C2211yescharacteristic
81#16840124C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic
83#16840122C2211yescharacteristic
84#16840122C2211yescharacteristic, complemented
85#16840121C2211yescharacteristic
86#16840121C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic
88#16840119C2211yescharacteristic
89#16840118C2211yescharacteristic
90#16840115C2211yescharacteristic
91#16840111C2211yescharacteristic, complemented
92#16840111C2211yescharacteristic, complemented
93#16840109C2211yescharacteristic
94#16840108C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840107C2211yescharacteristic
97#16840107C2211yescharacteristic, complemented
98#16840107C2211yescharacteristic, complemented
99#16840068C2211yescharacteristic, complemented
100#16840067C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840059C2211yescharacteristic, complemented
105#16840053C2211yescharacteristic
106#16840053C2211yescharacteristic, complemented
107#16840052C2211yescharacteristic
108#16840052C2211yescharacteristic, complemented
109#16840051C2211yescharacteristic
110#16840051C2211yescharacteristic
111#16840051C2211yescharacteristic, complemented
112#16840050C2211yescharacteristic
113#16840050C2211yescharacteristic
114#16840050C2211yescharacteristic, complemented
115#16840049C2211yescharacteristic
116#16840048C2211yescharacteristic, complemented
117#16840047C2211yescharacteristic, complemented
118#16840046C2211yescharacteristic, complemented
119#16840045C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic
121#16839984C2211yescharacteristic
122#16839984C2211yescharacteristic, complemented
123#16839982C2211yescharacteristic
124#16839980C2211yescharacteristic
125#16839978C2211yescharacteristic
126#16839978C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic
128#16839974C2211yescharacteristic
129#16839974C2211yescharacteristic, complemented
130#16839970C2211yescharacteristic, complemented
131#16839966C2211yescharacteristic, complemented
132#16839962C2211yescharacteristic
133#16839960C2211yescharacteristic
134#16839960C2211yescharacteristic
135#16839960C2211yescharacteristic, complemented
136#16839958C2211yescharacteristic
137#16839956C2211yescharacteristic
138#16839956C2211yescharacteristic
139#16839956C2211yescharacteristic, complemented
140#16839954C2211yescharacteristic
141#16839893C2211yescharacteristic, complemented
142#16839891C2211yescharacteristic, complemented
143#16839891C2211yescharacteristic, complemented
144#16839890C2211yescharacteristic, complemented
145#16839890C2211yescharacteristic, complemented
146C8×Dic122C2211yescharacteristic, complemented
147#16839886C2211yescharacteristic, complemented
148#16839875C2211yescharacteristic
149#16839875C2211yescharacteristic, complemented
150#16839873C2211yescharacteristic, complemented
151#16839872C2211yescharacteristic
152#16839872C2211yescharacteristic, complemented
153#16839871C2211yescharacteristic, complemented
154#16839869C2211yescharacteristic, complemented
155#16839867C2211yescharacteristic, complemented
156#16839866C2211yescharacteristic, complemented
157#16839860C2211yescharacteristic
158C4×#11758190C2211yescharacteristic, complemented
159SD16×Dic61C2211yescharacteristic
160SD16×Dic61C2211yescharacteristic, complemented
161C4×#11758201C2211yescharacteristic, complemented
162C4×#11758201C2211yescharacteristic, complemented
163#16839849C2211yescharacteristic, complemented
164#16839847C2211yescharacteristic
165#16839847C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic, complemented
167#16839844C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839803C2211yescharacteristic
170#106×D61C2211yescharacteristic
171#106×D61C2211yescharacteristic
172#16839787C2211yescharacteristic
173#16839787C2211yescharacteristic
174C4⋊C8×D61C2211yescharacteristic
175#16839765C2211yescharacteristic
176#16839762C2211yescharacteristic
177#16839762C2211yescharacteristic
178#16839762C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839755C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#557C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#476C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#441C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61—21no—
209C2×Q8×D61—21no—
210C2×Q8×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C22×C4×D61—21no—
213#14519804—24no—
214#14519800—24no—
215#14519798—24no—
216C2×#11758202C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×D488C2311yescharacteristic
222C2×D488C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758189C2311yescharacteristic
226C2×#11758189C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229#14519777—21no—
230#14519777—21no—
231#14519777—21no—
232#14519777C2311yescharacteristic
233#14519777C2311yescharacteristic
234#14519777C2311yescharacteristic
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776—21no—
239#14519776—21no—
240#14519776—21no—
241#14519776—21no—
242#14519776D411yescharacteristic
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519776C2311yescharacteristic
247#14519775—21no—
248#14519775D411yescharacteristic
249#14519775C2311yescharacteristic
250#14519774C2311yescharacteristic
251#14519773C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519773C2311yescharacteristic
254#14519772—21no—
255#14519771—21no—
256#14519770—21no—
257#14519770—21no—
258#14519768—21no—
259#14519768—21no—
260#14519768C2311yescharacteristic
261#14519768C2311yescharacteristic
262#14519767—21no—
263#14519767—21no—
264#14519767D411yescharacteristic
265#14519767D411yescharacteristic
266#14519766—21no—
267#14519766C2311yescharacteristic
268#14519765C2311yescharacteristic
269#14519765C2311yescharacteristic
270#14519764C2311yescharacteristic
271#14519763—21no—
272#14519763—21no—
273#14519762—21no—
274#14519762—21no—
275#14519761—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759—21no—
279#14519757—21no—
280#14519757—21no—
281#14519757—21no—
282#14519757—21no—
283#14519757—21no—
284#14519757—21no—
285#14519757—21no—
286#14519757D411yescharacteristic
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755D411yescharacteristic
297#14519755D411yescharacteristic
298#14519754—21no—
299#14519753—21no—
300#14519753D411yescharacteristic
301#14519751—21no—
302#14519750—21no—
303#14519750—21no—
304#14519750—21no—
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519748—21no—
313#14519747—21no—
314#14519747—21no—
315#14519745—21no—
316#14519745—21no—
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328#14519742C2311yescharacteristic
329C4×D244—21no—
330C4×D244—21no—
331C4×D244—21no—
332C4×D244—21no—
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739—21no—
344#14519739—21no—
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734C2311yescharacteristic
365#14519734C2311yescharacteristic
366#14519733—21no—
367#14519733—21no—
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C22⋊C4×D61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519699C2311yescharacteristic
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
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C4⋊Q8×C61—21no—
442C4⋊Q8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#125×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450#124×C61C2311yescharacteristic
451#123×C61—21no—
452#123×C61—21no—
453C4×Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61—21no—
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2×D411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503#11758226—22no—
504#11758226—22no—
505#11758226—22no—
506#11758226#4114yescomplemented
507Q8×D61—82no—
508Q8×D61—82no—
509Q8×D61—82no—
510#11758224—22no—
511#11758224—22no—
512#11758224—82no—
513D4×D61—22no—
514D4×D61—22no—
515#11758222—82no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
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×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—82no—
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2411yescharacteristic
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122C2×D411yescharacteristic
550C2×Dic122C2×D411yescharacteristic
551C2×Dic122C2×D411yescharacteristic
552C2×Dic122C2411yescharacteristic
553Q16×C61—22no—
554SD16×C61—22no—
555SD16×C61—22no—
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C42×C61—21no—
583C42×C61—21no—
584C42×C61—21no—
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593#11758202—22no—
594#11758201—22no—
595#11758201—22no—
596#11758201—22no—
597#11758199—22no—
598#11758199—22no—
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⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2×D411yescharacteristic
631C4⋊Dic61C2×D411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2411yescharacteristic
669C4×Dic61C2411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675D488—22no—
676D488—22no—
677#11758190—22no—
678#11758189—22no—
679#11758189—22no—
680C8×D61—22no—
681C8×D61—22no—
682C23×C61—21no—
683C23×C61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—42no—
688C22×D61—81no—
689C22×D61—81no—
690C22×D61C22×D411yescharacteristic
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—41no—
695Q8×C61—42no—
696Q8×C61C2×#4112yes—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—81no—
702D4×C61—81no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—81no—
710C2×C4×C61—81no—
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—42no—
732C2×Dic61—42no—
733C2×Dic61—81no—
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741D244—24no—
742D244—21no—
743D244—21no—
744D244—21no—
745D244—21no—
746D244—21no—
747D244—42no—
748D244—81no—
749D244—81no—
750D244C2×#4112yes—
751C4×D61—24no—
752C4×D61—22no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—81no—
759C4×D61—81no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61C2×#4112yes—
769C4×D612−1+412yes—
770Dic122—22no—
771Dic122—22no—
772Dic122—21no—
773Dic122—21no—
774Dic122—41no—
775Dic122—42no—
776Dic122—81no—
777Dic122—81no—
778Dic122—81no—
779Dic122—81no—
780Dic122—81no—
781Dic122—81no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786#92418—21no—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#61347—611nomaximal, Sylow
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61C23×D411yescharacteristic
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—22no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—84no—
810C2×D61#54812yes—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—22no—
815C4×C61—21no—
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×C61C2×2−1+411yescharacteristic
825Dic61—21no—
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—41no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61#54812yes—
836Dic61#57712yes—
837#3506—611no—
838#3503—611no—
839#3373—611no—
840#3373—611no—
841#3373—611no—
842#3373—611no—
843#3371—611no—
844#3371—611no—
845#3371—611no—
846#3371D6111yescharacteristic, complemented
847#3369—611no—
848#3369—611no—
849#3366—611no—
850#3366—611no—
851#3362—611no—
852#3362—611no—
853#3360—611no—
854#3360—611no—
855#3141—611no—
856#3136—611no—
857#3136—611no—
858#3084—611no—
859#3084—611no—
860C2×#476—611no—
861#3045—611no—
862#3045—611no—
863#3035—611no—
864#2962—611no—
865#2952—611no—
866#2952—611no—
867C4×AGL(1,ℤ/8)—611no—
868C2×C61—81no—
869C2×C61—81no—
870C2×C61C2×#54811yescharacteristic
871C2×C61C2×#57711yescharacteristic
872C2×C61#358511yescharacteristic
873D61—22no—
874D61—42no—
875D61—81no—
876D61—81no—
877C2×AGL(1,ℤ/8)—611no—
878C2×#135—611no—
879C2×#135—611no—
880#559—611no—
881#559—611no—
882#559—611no—
883#559C2×D6111yescharacteristic
884Q82—611no—
885Q82—611no—
886#557—611no—
887#557C2×D6111yescharacteristic, complemented
888#556—611no—
889#556—611no—
890#555—1221no—
891#554—611no—
892#554—611no—
893#554—1221no—
894#554—1221no—
895#553—1221no—
896#553—1221no—
897#550—611no—
898#550—611no—
899D4×Q8—611no—
900D4×Q8—611no—
901D4×Q8—1221no—
902D4×Q8—1221no—
903#547—1221no—
904#544—611no—
905#544—611no—
906#544—1221no—
907#544—1221no—
908#538—1221no—
909#538—1221no—
910#535—611no—
911#535—611no—
912#533—611no—
913#533—1221no—
914#532—611no—
915C2×C4⋊Q8—611no—
916C2×C4⋊Q8—1221no—
917#525—1221no—
918#525—1221no—
919#520—611no—
920#520—611no—
921#520—611no—
922#520—611no—
923C4×#41—611no—
924C2×C4×D4—611no—
925#490—611no—
926#490—611no—
927#490—611no—
928#490C2×D6111yescharacteristic
929#489—611no—
930#489—611no—
931#489—611no—
932#489—611no—
933#489—611no—
934#489—611no—
935#489—611no—
936#489C2×D6111yescharacteristic, complemented
937#488—611no—
938#488—611no—
939#488—611no—
940#488C2×D6111yescharacteristic
941#487—611no—
942#487—611no—
943#486—611no—
944#486—611no—
945#486—611no—
946#486—611no—
947#486—611no—
948#486—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479C2×D6111yescharacteristic, complemented
953#478—611no—
954#478—611no—
955#478—611no—
956#478C2×D6111yescharacteristic, complemented
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#476—611no—
967#476—611no—
968#476C2×D6111yescharacteristic
969#475—611no—
970#475—611no—
971#475—611no—
972#475—611no—
973#464—611no—
974#464—611no—
975#464—611no—
976#464—611no—
977#464C2×D6111yescharacteristic
978#464C2×D6111yescharacteristic, complemented
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#463—611no—
984#463—611no—
985#462—611no—
986#461—611no—
987#460—611no—
988#460—611no—
989#460—611no—
990#460—611no—
991#460C2×D6111yescharacteristic
992#459—611no—
993#459—611no—
994#459—611no—
995#459—611no—
996#459—611no—
997#446—611no—
998#446—611no—
999#446—611no—
1000#446—611no—
1001#446—611no—
1002#446C2×D6111yescharacteristic, complemented
1003C8×Q8—611no—
1004C8×Q8—611no—
1005#442—611no—
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442—611no—
1011#441—611no—
1012#441—611no—
1013#441—611no—
1014#441C2×D6111yescharacteristic, complemented
1015#440—611no—
1016#440C2×D6111yescharacteristic
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×SD16—611no—
1026C4×SD16C2×D6111yescharacteristic, complemented
1027C4×D8—611no—
1028C4×D8—611no—
1029#428—611no—
1030C2×#106—611no—
1031C2×#106—611no—
1032#424—611no—
1033#424—611no—
1034C2×C4⋊C8—611no—
1035#418—611no—
1036#417—611no—
1037#417—611no—
1038#417—611no—
1039#417—611no—
1040#417—611no—
1041#416—611no—
1042#416—611no—
1043C2×#102—611no—
1044C2×#102—611no—
1045#405—611no—
1046#405—611no—
1047C4×M16—611no—
1048C61#6134711yescharacteristic, complemented, Sylow
1049C2×#41—611no—
1050C2×#41—611no—
1051C2×#41—611no—
1052C2×#41—1221no—
1053C2×#41—1221no—
1054C22×Q8—1221no—
1055C22×Q8—1221no—
1056C22×Q8—1221no—
1057C22×D4—611no—
1058C23×C4—1221no—
1059AGL(1,ℤ/8)—1224no—
1060#135—1224no—
1061#135—1224no—
1062C2×Q16—611no—
1063C2×Q16C22×D6111yescharacteristic
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16C22×D6111yescharacteristic
1069C2×SD16C22×D6111yescharacteristic
1070C2×D8—611no—
1071C2×D8—611no—
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×M16—611no—
1075C2×M16—611no—
1076C22×C8—611no—
1077C22×C8—611no—
1078C4⋊Q8—21no—
1079C4⋊Q8—611no—
1080C4⋊Q8—611no—
1081C4⋊Q8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093C4⋊Q8—1221no—
1094C4⋊Q8—1221no—
1095C4⋊Q8—1221no—
1096C4⋊Q8—1221no—
1097C4⋊Q8—1221no—
1098C4⋊Q8—1221no—
1099C4⋊Q8—1221no—
1100C4⋊Q8C22×D6111yescharacteristic
1101#127—611no—
1102#127—611no—
1103#127—611no—
1104#127—611no—
1105#127C22×D6111yescharacteristic
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#125—21no—
1111#125—21no—
1112#125—611no—
1113#125—611no—
1114#125—611no—
1115#125—611no—
1116#125—1221no—
1117#125—1221no—
1118#125—1221no—
1119#125—1221no—
1120#125C22×D6111yescharacteristic
1121#125C22×D6111yescharacteristic
1122#124—21no—
1123#124—611no—
1124#124—611no—
1125#124—611no—
1126#124—611no—
1127#124—1221no—
1128#124—1221no—
1129#124—1221no—
1130#124C22×D6111yescharacteristic
1131#124C22×D6111yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140C22⋊Q8—611no—
1141C22⋊Q8—611no—
1142C22⋊Q8—611no—
1143C22⋊Q8—611no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#120—1221no—
1175#120—1221no—
1176#120—1221no—
1177#120—1221no—
1178C4×Q8—21no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—1221no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8C22×D6111yescharacteristic
1192C4×Q8C22×D6111yescharacteristic
1193C4×Q8C22×D6111yescharacteristic
1194C4×Q8C22×D6111yescharacteristic
1195C4×Q8C22×D6111yescharacteristic
1196C4×D4—21no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—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—1221no—
1232#117—1221no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—611no—
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—1221no—
1242C2×C4⋊C4—1221no—
1243C2×C4⋊C4—1221no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C22⋊C4—1221no—
1249C2×C42—611no—
1250C2×C42—1221no—
1251#107—611no—
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103C22×D6111yescharacteristic
1286#103C22×D6111yescharacteristic
1287#103C22×D6111yescharacteristic
1288#103C22×D6111yescharacteristic
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313#102C22×D6111yescharacteristic
1314#102C22×D6111yescharacteristic
1315#97—611no—
1316#97—611no—
1317#97—611no—
1318#97—611no—
1319#97C22×D6111yescharacteristic
1320#97C22×D6111yescharacteristic
1321C4×C8—611no—
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8C22×D6111yescharacteristic
1327C24—1221no—
1328#41—614no—
1329#41—1222no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—4882no—
1335#41—4882no—
1336C2×Q8—21no—
1337C2×Q8—611no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1221no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—4882no—
1349C2×Q8—4882no—
1350C2×Q8—4882no—
1351C2×Q8D4×D6111yescharacteristic
1352C2×Q8C23×D6111yescharacteristic
1353C2×Q8C23×D6111yescharacteristic
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1222no—
1362C2×D4—1222no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4C23×D6111yescharacteristic
1374C2×D4C23×D6111yescharacteristic
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
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×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—4882no—
1399Q16—22no—
1400Q16—1222no—
1401SD16—22no—
1402SD16—22no—
1403SD16—1222no—
1404SD16—1222no—
1405SD16—1222no—
1406SD16—1222no—
1407D8—1222no—
1408D8—1222no—
1409D8—1222no—
1410D8—1222no—
1411M16—1222no—
1412M16—1222no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—1222no—
1418C2×C8—1222no—
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—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—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
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⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4D4×D6111yescharacteristic
1472C4⋊C4D4×D6111yescharacteristic
1473C4⋊C4D4×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C4⋊C4C23×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
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—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—611no—
1514C42—611no—
1515C42—611no—
1516C42—611no—
1517C42—611no—
1518C42—1221no—
1519C42—1221no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42C23×D6111yescharacteristic
1526C42C23×D6111yescharacteristic
1527C42C23×D6111yescharacteristic
1528C23—21no—
1529C23—21no—
1530C23—611no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—4881no—
1535C23—4881no—
1536C23—2442no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—41no—
1541Q8—42no—
1542Q8—1222no—
1543Q8—1222no—
1544Q8—1221no—
1545Q8—1221no—
1546Q8—4881no—
1547Q8—4881no—
1548Q8—4881no—
1549Q8—4881no—
1550Q8—4881no—
1551Q8—4881no—
1552Q8—2441no—
1553Q8—2442no—
1554Q8#41×D6112yes—
1555D4—21no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—81no—
1560D4—81no—
1561D4—612no—
1562D4—1224no—
1563D4—1221no—
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—2442no—
1577D4—2442no—
1578D4—2442no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—611no—
1588C2×C4—611no—
1589C2×C4—612no—
1590C2×C4—612no—
1591C2×C4—611no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—1222no—
1597C2×C4—1224no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—4881no—
1604C2×C4—4881no—
1605C2×C4—4881no—
1606C2×C4—4881no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—2441no—
1615C2×C4—2442no—
1616C2×C4—2442no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4C2×D4×D6111yescharacteristic
1622C2×C4C2×D4×D6111yescharacteristic
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C24×D6111yescharacteristic
1628C8—21no—
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—612no—
1643C22—1221no—
1644C22—1221no—
1645C22—1222no—
1646C22—4884no—
1647C22—2441no—
1648C22—2441no—
1649C22—2441no—
1650C22—2441no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22C22×D4×D6111yescharacteristic
1656C4—22no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—612no—
1669C4—612no—
1670C4—1221no—
1671C4—1221no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—2441no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4C2×#41×D6111yescharacteristic
1681C42−1+4×D6111yescharacteristic
1682C2—81no—
1683C2—81no—
1684C2—1222no—
1685C2—4881no—
1686C2—4881no—
1687C2—2442no—
1688C2#548×D6111yescharacteristic
1689C2#577×D6111yescharacteristic
1690C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3371C2
socleC22×C61C23×D4
hypercenter#3371D61
hypocenterC61#61347
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #21459667C2semidirect
2. #21459636C2semidirect
3. #21458614C2semidirect
4. #21458613C2semidirect
5. #21458608C2semidirect
6. #21458607C2semidirect
7. #21458592C2semidirect
8. #21458587C2semidirect
9. #21458584C2semidirect
10. #21458560C2semidirect
11. #21458554C2semidirect
12. #21458529C2semidirect
13. #21458523C2semidirect
14. #21458488C2semidirect
15. #21458485C2semidirect
16. #21458471C2semidirect
17. #21458465C2semidirect
18. #21456211C2semidirect
19. #21456174C2semidirect
20. #21456172C2semidirect
21. #21455684C2semidirect
22. #21455682C2semidirect
23. #476×D61C2semidirect
24. #21455361C2semidirect
25. #21455355C2semidirect
26. #21455273C2semidirect
27. #21454764C2semidirect
28. #21454699C2semidirect
29. #21454697C2semidirect
30. #21454624C2semidirect
31. C61×#3371C2semidirect
38. Q8×Dic122C22semidirect
39. Q8×Dic122C22semidirect
40. #16840491C22semidirect
46. #16840468C22semidirect
47. #16840468C22semidirect
53. Q8×D244C22semidirect
55. #16840427C22semidirect
81. #16840124C22semidirect
84. #16840122C22semidirect
86. #16840121C22semidirect
91. #16840111C22semidirect
92. #16840111C22semidirect
97. #16840107C22semidirect
98. #16840107C22semidirect
99. #16840068C22semidirect
100. #16840067C22semidirect
101. #16840066C22semidirect
102. #16840065C22semidirect
103. #16840064C22semidirect
104. #16840059C22semidirect
106. #16840053C22semidirect
108. #16840052C22semidirect
111. #16840051C22semidirect
114. #16840050C22semidirect
116. #16840048C22semidirect
117. #16840047C22semidirect
118. #16840046C22semidirect
119. #16840045C22semidirect
122. #16839984C22semidirect
126. #16839978C22semidirect
129. #16839974C22semidirect
130. #16839970C22semidirect
131. #16839966C22semidirect
135. #16839960C22semidirect
139. #16839956C22semidirect
141. #16839893C22semidirect
142. #16839891C22semidirect
143. #16839891C22semidirect
144. #16839890C22semidirect
145. #16839890C22semidirect
146. C8×Dic122C22semidirect
147. #16839886C22semidirect
149. #16839875C22semidirect
150. #16839873C22semidirect
152. #16839872C22semidirect
153. #16839871C22semidirect
154. #16839869C22semidirect
155. #16839867C22semidirect
156. #16839866C22semidirect
158. C4×#11758190C22semidirect
160. SD16×Dic61C22semidirect
161. C4×#11758201C22semidirect
162. C4×#11758201C22semidirect
163. #16839849C22semidirect
165. #16839847C22semidirect
166. #16839847C22semidirect
189. C61×#557C22semidirect
191. C61×#489C22semidirect
193. C61×#479C22semidirect
194. C61×#478C22semidirect
197. C61×#464C22semidirect
199. C61×#446C22semidirect
200. C61×#441C22semidirect
202. C4×SD16×C61C22semidirect
506. #11758226#41semidirect
846. #3371D61semidirect
887. #557C2×D61semidirect
936. #489C2×D61semidirect
952. #479C2×D61semidirect
956. #478C2×D61semidirect
978. #464C2×D61semidirect
1002. #446C2×D61semidirect
1014. #441C2×D61semidirect
1026. C4×SD16C2×D61semidirect
1048. C61#61347semidirect

Maximal subgroups

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

subgroupindex
#214596672
#214596362
#214586142
#214586132
#214586082
#214586072
#214585922
#214585872
#214585842
#214585602
#214585542
#214585292
#214585232
#214584882
#214584852
#214584712
#214584652
#214562112
#214561742
#214561722
#214556842
#214556822
#476×D612
#214553612
#214553552
#214552732
#214547642
#214546992
#214546972
#214546242
C61×#33712
#6134761