Finite Group Databasebeta

← #30576222

Subgroups — #30576222

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic, complemented
2#21459440C211yesmaximal, characteristic
3#21458787C211yesmaximal, characteristic, complemented
4#21458785C211yesmaximal, characteristic, complemented
5#21458656C211yesmaximal, characteristic, complemented
6#21458654C211yesmaximal, characteristic, complemented
7#21458352C211yesmaximal, characteristic, complemented
8#21458344C211yesmaximal, characteristic, complemented
9#21458261C211yesmaximal, characteristic, complemented
10#21458259C211yesmaximal, characteristic, complemented
11#21458190C211yesmaximal, characteristic, complemented
12#21458185C211yesmaximal, characteristic, complemented
13#21457886C211yesmaximal, characteristic, complemented
14#21457878C211yesmaximal, characteristic, complemented
15#21457870C211yesmaximal, characteristic, complemented
16#21457710C211yesmaximal, characteristic, complemented
17#21457702C211yesmaximal, characteristic, complemented
18#21457187C211yesmaximal, characteristic, complemented
19#21457162C211yesmaximal, characteristic, complemented
20#21457151C211yesmaximal, characteristic, complemented
21#21457043C211yesmaximal, characteristic, complemented
22#21457028C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455979C211yesmaximal, characteristic, complemented
25#21455944C211yesmaximal, characteristic, complemented
26#21455853C211yesmaximal, characteristic, complemented
27#21455621C211yesmaximal, characteristic, complemented
28#21455606C211yesmaximal, characteristic, complemented
29C2×#16840055C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3312C211yesmaximal, characteristic, complemented
32#16840491C2211yescharacteristic
33#16840489—21no—
34#16840489C2211yescharacteristic
35#16840488C2211yescharacteristic
36#16840486—21no—
37#16840486C2211yescharacteristic
38#16840483C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840479—21no—
41#16840454—21no—
42#16840454—21no—
43#16840454C2211yescharacteristic
44#16840454C2211yescharacteristic
45#16840454C2211yescharacteristic
46#16840452C2211yescharacteristic
47#16840449—21no—
48#16840447C2211yescharacteristic
49#16840445—21no—
50#16840423C2211yescharacteristic
51#16840423C2211yescharacteristic
52#16840416—21no—
53#16840416C2211yescharacteristic
54#16840371—21no—
55#16840369—21no—
56#16840334—21no—
57#16840318C2211yescharacteristic
58#16840317—21no—
59#16840317C2211yescharacteristic
60#16840316C2211yescharacteristic
61#16840315C2211yescharacteristic
62#16840314C2211yescharacteristic
63#16840314C2211yescharacteristic
64C2×#14519776C2211yescharacteristic
65#16840298—21no—
66#16840298—21no—
67#16840298C2211yescharacteristic
68#16840298C2211yescharacteristic
69#16840239—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C2×Q8×Dic61C2211yescharacteristic
74C2×Q8×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840162C2211yescharacteristic
81#16840130C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840123C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840102C2211yescharacteristic
89#16840102C2211yescharacteristic
90#16840101C2211yescharacteristic
91#16840101C2211yescharacteristic
92#16840100C2211yescharacteristic
93#16840098C2211yescharacteristic
94#16840095C2211yescharacteristic
95#16840093C2211yescharacteristic
96#16840090C2211yescharacteristic
97#16840090C2211yescharacteristic
98#16840087C2211yescharacteristic
99#16840086C2211yescharacteristic
100#16840076C2211yescharacteristic
101#16840075C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840071C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840068C2211yescharacteristic
108#16840067C2211yescharacteristic
109#16840067C2211yescharacteristic
110#16840067C2211yescharacteristic
111#16840063C2211yescharacteristic
112#16840059C2211yescharacteristic
113#16840058C2211yescharacteristic
114#16840057C2211yescharacteristic
115#16840055C2211yescharacteristic
116#16840055C2211yescharacteristic
117#16840055C2211yescharacteristic
118#16840055C2211yescharacteristic
119#16840055C2211yescharacteristic
120#16840055C2211yescharacteristic
121#16840055C2211yescharacteristic
122#16840055C2211yescharacteristic
123#16840055C2211yescharacteristic
124#16840055C2211yescharacteristic
125#16840051C2211yescharacteristic
126#16840051C2211yescharacteristic
127#16840045C2211yescharacteristic
128#16840045C2211yescharacteristic
129#16840045C2211yescharacteristic
130#16840041C2211yescharacteristic
131#16840018C2211yescharacteristic
132#16840010C2211yescharacteristic
133#16840008C2211yescharacteristic
134#16840002C2211yescharacteristic
135#16840002C2211yescharacteristic
136#16840001C2211yescharacteristic
137#16840000C2211yescharacteristic
138#16840000C2211yescharacteristic
139#16839993C2211yescharacteristic
140#16839991C2211yescharacteristic
141#16839987C2211yescharacteristic
142#16839987C2211yescharacteristic
143#16839986C2211yescharacteristic
144#16839986C2211yescharacteristic
145#16839970C2211yescharacteristic
146#16839970C2211yescharacteristic
147#16839970C2211yescharacteristic
148#16839969C2211yescharacteristic
149#16839966C2211yescharacteristic
150#16839927C2211yescharacteristic
151#16839923C2211yescharacteristic
152#16839918C2211yescharacteristic
153#16839918C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839869C2211yescharacteristic
157#16839869C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839866C2211yescharacteristic
160#16839866C2211yescharacteristic
161#16839864C2211yescharacteristic
162#16839860C2211yescharacteristic
163Q16×Dic61C2211yescharacteristic
164Q16×Dic61C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839854C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839804C2211yescharacteristic
177#16839799C2211yescharacteristic
178#16839797C2211yescharacteristic
179C2×#14519711C2211yescharacteristic
180C2×#14519710C2211yescharacteristic
181#16839785C2211yescharacteristic
182C2×#14519706C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic
184#16839771C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839757C2211yescharacteristic
187C2×#14519701C2211yescharacteristic
188C61×#552C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic
190C61×#491C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#483C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#470C2211yescharacteristic
195C61×#467C2211yescharacteristic
196C61×#462C2211yescharacteristic
197C61×#451C2211yescharacteristic
198C61×#451C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#419C2211yescharacteristic
202C2×#103×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C22×Dic122—21no—
207C2×#11758202C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C22×#92418C2311yescharacteristic
214C2×C8×D61C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216#14519777—21no—
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519775C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519771—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519769—21no—
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768—21no—
245#14519768—21no—
246#14519768—21no—
247#14519768—21no—
248#14519768—21no—
249#14519768—21no—
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519766—21no—
262#14519766—21no—
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519763—21no—
266#14519763—21no—
267#14519761—21no—
268#14519761—21no—
269#14519761—21no—
270#14519761—21no—
271#14519761—21no—
272#14519761—21no—
273#14519761—21no—
274#14519760—21no—
275#14519758—21no—
276#14519757—21no—
277#14519757—21no—
278#14519757—21no—
279#14519757C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519753—21no—
290#14519753—21no—
291#14519753C2311yescharacteristic
292#14519753C2311yescharacteristic
293#14519753C2311yescharacteristic
294#14519751—21no—
295#14519751—21no—
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298Q8×Dic61—21no—
299Q8×Dic61—21no—
300Q8×Dic61—21no—
301Q8×Dic61—21no—
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308Q8×Dic61C2311yescharacteristic
309Q8×Dic61C2311yescharacteristic
310Q8×Dic61C2311yescharacteristic
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122—21no—
316C4×Dic122—21no—
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742D411yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329C4×D244—21no—
330C4×D244C2311yescharacteristic
331D4×Dic61D411yescharacteristic
332#14519739—21no—
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
339#14519737—21no—
340#14519737D411yescharacteristic
341#14519737D411yescharacteristic
342#14519736—21no—
343#14519736C2311yescharacteristic
344#14519735—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735D411yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519734—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61—21no—
364C2×C4⋊Dic61C2311yescharacteristic
365C2×C4⋊Dic61C2311yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C2×#11758196—21no—
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×Q8×C61C2311yescharacteristic
436C22×Q8×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61—21no—
443C4⋊Q8×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C22⋊Q8×C61C2311yescharacteristic
451C22⋊Q8×C61C2311yescharacteristic
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—22no—
481C2×Q8×C61—22no—
482C2×Q8×C61—41no—
483C2×Q8×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61C2×D411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61C2×D411yescharacteristic
497C2×C22⋊D61C2×D411yescharacteristic
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61C2×D411yescharacteristic
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504C22×Dic61C2×D411yescharacteristic
505#11758226—22no—
506#11758226—41no—
507#11758224—42no—
508#11758224—44no—
509C2×D244—21no—
510C2×D244C2411yescharacteristic
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2411yescharacteristic
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—44no—
524C2×Dic122C2×D411yescharacteristic
525C2×Dic122C2411yescharacteristic
526Q16×C61—22no—
527Q16×C61—41no—
528Q16×C61—41no—
529M16×C61—41no—
530C2×C8×C61—41no—
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61C2×D411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61C2×D411yescharacteristic
557C22⋊C4×C61C2×D411yescharacteristic
558C42×C61—21no—
559C42×C61—21no—
560C42×C61—21no—
561C42×C61C2411yescharacteristic
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61C2×D411yescharacteristic
566C22⋊Dic61C2×D411yescharacteristic
567#11758202—22no—
568#11758202—41no—
569#11758202—41no—
570#11758201—41no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198C2×D411yescharacteristic
587#11758198C2×D411yescharacteristic
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
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#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638C4×Dic61—21no—
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669#11758190—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61C22×D411yescharacteristic
673C23×C61C22×D411yescharacteristic
674C22×D61—21no—
675C22×D61C22×D411yescharacteristic
676Q8×C61—21no—
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—21no—
682Q8×C61—21no—
683Q8×C61—42no—
684Q8×C61—42no—
685Q8×C612−1+412yes—
686D4×C61—22no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—42no—
700C2×C4×C61—42no—
701C2×C4×C61—42no—
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C2511yescharacteristic
707C22⋊D61—22no—
708C22⋊D61—41no—
709C22⋊D61—42no—
710C22⋊D61—42no—
711C2×Dic61—22no—
712C2×Dic61—22no—
713C2×Dic61—22no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—41no—
722C2×Dic61—42no—
723C2×Dic61—42no—
724C2×Dic61—42no—
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732D244—21no—
733D244—21no—
734D244—42no—
735C4×D61—21no—
736C4×D61—21no—
737C4×D61—22no—
738C4×D61—41no—
739C4×D61—42no—
740C4×D61—42no—
741C4×D61—42no—
742Dic122—21no—
743Dic122—21no—
744Dic122—41no—
745Dic122—42no—
746Dic122—42no—
747Dic122—42no—
748Dic122—42no—
749Dic122—42no—
750Dic122—42no—
751C8×C61—21no—
752C8×C61—21no—
753C8×C61—21no—
754C8×C61—21no—
755#92418—21no—
756#92418—21no—
757#92418—21no—
758#92418—21no—
759#62130—611nomaximal, Sylow
760C22×C61—21no—
761C22×C61—21no—
762C22×C61—21no—
763C22×C61—21no—
764C22×C61—21no—
765C22×C61#57512yes—
766C22×C61C23×D411yescharacteristic
767C2×D61—21no—
768C2×D61—21no—
769C2×D61—21no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C4×C61—22no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61C2×2−1+411yescharacteristic
786C4×C61#58511yescharacteristic
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—21no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61#57812yes—
801#3509—611no—
802#3482—611no—
803#3390—611no—
804#3390—611no—
805#3377—611no—
806#3377—611no—
807#3349—611no—
808#3349—611no—
809#3343—611no—
810#3343—611no—
811#3336—611no—
812#3336—611no—
813#3313—611no—
814#3313—611no—
815#3312—611no—
816#3312D6111yescharacteristic, complemented
817#3300—611no—
818#3300—611no—
819#3252—611no—
820#3249—611no—
821#3248—611no—
822#3238—611no—
823#3237—611no—
824#3233—611no—
825#3116—611no—
826#3113—611no—
827#3104—611no—
828#3078—611no—
829#3076—611no—
830C2×#477—611no—
831#2990—611no—
832C2×C61—22no—
833C2×C61—41no—
834C2×C61#348911yescharacteristic
835C2×C61C2×#57511yescharacteristic
836C2×C61C2×#57811yescharacteristic
837D61—41no—
838D61—81no—
839#557—611no—
840#557—611no—
841#557—611no—
842#557—1221no—
843#556—611no—
844#556—611no—
845#556—611no—
846#556—1221no—
847#556—1221no—
848#552—611no—
849#552—611no—
850#552—611no—
851#552—611no—
852#552—611no—
853#552—1221no—
854#552—1221no—
855#552—1221no—
856#552—1221no—
857#552C2×D6111yescharacteristic
858D4×Q8C2×D6111yescharacteristic
859#548—611no—
860#548—611no—
861#547—611no—
862#547—1221no—
863#541—1221no—
864#541—1221no—
865#536—1221no—
866#533—611no—
867#533—611no—
868#533—611no—
869#533—611no—
870#533—611no—
871#533—611no—
872#533—1221no—
873C2×C4⋊Q8—611no—
874#529—611no—
875#529—611no—
876#529—1221no—
877#529—1221no—
878#519—1221no—
879C4×#41—611no—
880C4×#41—611no—
881C4×#41—1221no—
882C2×C4×Q8—611no—
883C2×C4×Q8—611no—
884#501—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#499—611no—
889#499—611no—
890#491—611no—
891#491C2×D6111yescharacteristic
892#489—611no—
893#489—611no—
894#488—611no—
895#488—611no—
896#485—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485C2×D6111yescharacteristic
904#484—611no—
905#484—611no—
906#483—611no—
907#483—611no—
908#483—611no—
909#483C2×D6111yescharacteristic
910#482—611no—
911#482—611no—
912#480—611no—
913#480—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479C2×D6111yescharacteristic
924#478—611no—
925#478—611no—
926#477—611no—
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#476—611no—
939#476—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#470—611no—
945#470C2×D6111yescharacteristic
946#468—611no—
947#468—611no—
948#467—611no—
949#467—611no—
950#467—611no—
951#467—611no—
952#467—611no—
953#467C2×D6111yescharacteristic
954#465—611no—
955#465—611no—
956#464—611no—
957#464—611no—
958#464—611no—
959#464—611no—
960#462—611no—
961#462—611no—
962#462—611no—
963#462—611no—
964#462C2×D6111yescharacteristic
965#461—611no—
966#452—611no—
967#452—611no—
968#451—611no—
969#451—611no—
970#451C2×D6111yescharacteristic
971#451C2×D6111yescharacteristic
972#446—611no—
973#446—611no—
974#441—611no—
975#441—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441C2×D6111yescharacteristic
980#440—611no—
981#440—611no—
982C4×Q16—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×Q16—611no—
986#435—611no—
987#435—611no—
988#435—611no—
989#435C2×D6111yescharacteristic
990C8×D4—611no—
991C8×D4—611no—
992#432—611no—
993#432—611no—
994#431—611no—
995#428—611no—
996#428—611no—
997#427—611no—
998#427—611no—
999C2×#107—611no—
1000C2×#107—611no—
1001#423—611no—
1002C2×C4⋊C8—611no—
1003C2×C4⋊C8—611no—
1004#419—611no—
1005#419C2×D6111yescharacteristic
1006#416—611no—
1007#416—611no—
1008C2×#103—611no—
1009C2×#103C2×D6111yescharacteristic
1010C61#6213011yescharacteristic, complemented, Sylow
1011C2×#41—611no—
1012C2×#41—611no—
1013C2×#41—1221no—
1014C22×Q8—1221no—
1015C22×Q8C22×D6111yescharacteristic
1016C22×Q8C22×D6111yescharacteristic
1017C2×Q16—611no—
1018C2×Q16—611no—
1019C2×Q16—611no—
1020C2×Q16C22×D6111yescharacteristic
1021C2×Q16C22×D6111yescharacteristic
1022C2×Q16C22×D6111yescharacteristic
1023C2×SD16—611no—
1024C2×SD16—611no—
1025C2×M16—611no—
1026C2×M16C22×D6111yescharacteristic
1027C22×C8—611no—
1028C22×C8—611no—
1029C22×C8—611no—
1030C22×C8C22×D6111yescharacteristic
1031C4⋊Q8—21no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—611no—
1037C4⋊Q8—611no—
1038C4⋊Q8—611no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8C22×D6111yescharacteristic
1045#126—21no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#125—21no—
1060#125—611no—
1061#125—611no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125C22×D6111yescharacteristic
1081#124—611no—
1082#124—611no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#123—21no—
1088#123—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—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1118C22⋊Q8C22×D6111yescharacteristic
1119C22⋊Q8C22×D6111yescharacteristic
1120C22⋊Q8C22×D6111yescharacteristic
1121#121—611no—
1122#121—611no—
1123#121—1221no—
1124#121—1221no—
1125C4×Q8—611no—
1126C4×Q8—611no—
1127C4×Q8—611no—
1128C4×Q8—611no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—1221no—
1140C4×Q8—1221no—
1141C4×Q8—1221no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8C22×D6111yescharacteristic
1157C4×Q8C22×D6111yescharacteristic
1158C4×D4—21no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4C22×D6111yescharacteristic
1173#117—21no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—611no—
1178#117—611no—
1179#117—611no—
1180#117—611no—
1181#117—1221no—
1182#117—1221no—
1183#117—1221no—
1184#117—1221no—
1185#117—1221no—
1186#117—1221no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117—1221no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117C22×D6111yescharacteristic
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—1221no—
1199C2×C4⋊C4—1221no—
1200C2×C4⋊C4—1221no—
1201C2×C4⋊C4C22×D6111yescharacteristic
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—611no—
1205C2×C42—1221no—
1206C2×C42—1221no—
1207C2×C42—1221no—
1208#107—611no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107C22×D6111yescharacteristic
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106—611no—
1229#106—611no—
1230#106C22×D6111yescharacteristic
1231#106C22×D6111yescharacteristic
1232C4⋊C8—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8C22×D6111yescharacteristic
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103C22×D6111yescharacteristic
1259#103C22×D6111yescharacteristic
1260#103C22×D6111yescharacteristic
1261#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#103C22×D6111yescharacteristic
1266#103C22×D6111yescharacteristic
1267#103C22×D6111yescharacteristic
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274C22⋊C8—611no—
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8C22×D6111yescharacteristic
1279C22⋊C8C22×D6111yescharacteristic
1280#97—611no—
1281#97—611no—
1282#97—611no—
1283#97C22×D6111yescharacteristic
1284C4×C8—611no—
1285C4×C8—611no—
1286#41—1222no—
1287#41—2442no—
1288#41—2441no—
1289#41—2444no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—41no—
1295C2×Q8—41no—
1296C2×Q8—611no—
1297C2×Q8—611no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1221no—
1302C2×Q8—1221no—
1303C2×Q8—1221no—
1304C2×Q8—2444no—
1305C2×Q8C23×D6111yescharacteristic
1306C2×Q8C23×D6111yescharacteristic
1307C2×Q8C23×D6111yescharacteristic
1308C2×Q8C23×D6111yescharacteristic
1309C2×D4—611no—
1310C2×D4—611no—
1311C2×D4—611no—
1312C2×D4—1221no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4D4×D6111yescharacteristic
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334Q16—22no—
1335Q16—41no—
1336Q16—41no—
1337Q16—1222no—
1338Q16—2441no—
1339Q16—2441no—
1340SD16—2441no—
1341SD16—2441no—
1342M16—41no—
1343M16—2441no—
1344C2×C8—41no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—611no—
1348C2×C8—611no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8—2441no—
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C2×C8C23×D6111yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1418C4⋊C4C23×D6111yescharacteristic
1419C4⋊C4C23×D6111yescharacteristic
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—611no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4D4×D6111yescharacteristic
1450C22⋊C4D4×D6111yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—611no—
1455C42—611no—
1456C42—611no—
1457C42—611no—
1458C42—611no—
1459C42—611no—
1460C42—611no—
1461C42—611no—
1462C42—611no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42C23×D6111yescharacteristic
1480C23—611no—
1481C23—1221no—
1482C23C2×D4×D6111yescharacteristic
1483C23C2×D4×D6111yescharacteristic
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—21no—
1489Q8—21no—
1490Q8—21no—
1491Q8—42no—
1492Q8—42no—
1493Q8—1221no—
1494Q8—1221no—
1495Q8—2441no—
1496Q8—2442no—
1497Q8—2442no—
1498Q8—2442no—
1499Q8—2442no—
1500Q8—2442no—
1501Q8—2442no—
1502Q8#1451982412yes—
1503D4—22no—
1504D4—1222no—
1505D4—1221no—
1506D4—1221no—
1507D4—2442no—
1508D4—2441no—
1509D4—2442no—
1510D4—2442no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—42no—
1524C2×C4—42no—
1525C2×C4—42no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—611no—
1532C2×C4—611no—
1533C2×C4—1222no—
1534C2×C4—1222no—
1535C2×C4—1222no—
1536C2×C4—1222no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—2441no—
1547C2×C4—2442no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2441no—
1551C2×C4—2442no—
1552C2×C4—2442no—
1553C2×C4—2442no—
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C2×D4×D6111yescharacteristic
1558C2×C4C24×D6111yescharacteristic
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C8—1221no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—1221no—
1573C22—1221no—
1574C22—1221no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22#1684056112yes—
1579C22C22×D4×D6111yescharacteristic
1580C4—21no—
1581C4—21no—
1582C4—22no—
1583C4—21no—
1584C4—21no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—612no—
1593C4—1221no—
1594C4—1221no—
1595C4—1221no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4C2×#1451982411yescharacteristic
1607C4#1684059711yescharacteristic
1608C2—22no—
1609C2—41no—
1610C2—4881no—
1611C2—2441no—
1612C2#2145949011yescharacteristic
1613C2C2×#1684056111yescharacteristic
1614C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3312C2
socleC22×C61C23×D4
prime radical#21459440C2
hypercenter#3312D61
hypocenterC61#62130
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458787C2semidirect
4. #21458785C2semidirect
5. #21458656C2semidirect
6. #21458654C2semidirect
7. #21458352C2semidirect
8. #21458344C2semidirect
9. #21458261C2semidirect
10. #21458259C2semidirect
11. #21458190C2semidirect
12. #21458185C2semidirect
13. #21457886C2semidirect
14. #21457878C2semidirect
15. #21457870C2semidirect
16. #21457710C2semidirect
17. #21457702C2semidirect
18. #21457187C2semidirect
19. #21457162C2semidirect
20. #21457151C2semidirect
21. #21457043C2semidirect
22. #21457028C2semidirect
23. #21457001C2semidirect
24. #21455979C2semidirect
25. #21455944C2semidirect
26. #21455853C2semidirect
27. #21455621C2semidirect
28. #21455606C2semidirect
29. C2×#16840055C2semidirect
30. #21454939C2semidirect
31. C61×#3312C2semidirect
816. #3312D61semidirect
1010. C61#62130semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214594402
#214587872
#214587852
#214586562
#214586542
#214583522
#214583442
#214582612
#214582592
#214581902
#214581852
#214578862
#214578782
#214578702
#214577102
#214577022
#214571872
#214571622
#214571512
#214570432
#214570282
#214570012
#214559792
#214559442
#214558532
#214556212
#214556062
C2×#168400552
#214549392
C61×#33122
#6213061