Finite Group Databasebeta

← #30560366

Subgroups — #30560366

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459680C211yesmaximal, characteristic, complemented
2#21459636C211yesmaximal, characteristic, complemented
3#21458666C211yesmaximal, characteristic, complemented
4#21458661C211yesmaximal, characteristic, complemented
5#21458658C211yesmaximal, characteristic, complemented
6#21458634C211yesmaximal, characteristic, complemented
7#21458628C211yesmaximal, characteristic, complemented
8#21458603C211yesmaximal, characteristic, complemented
9#21458597C211yesmaximal, characteristic, complemented
10#21458540C211yesmaximal, characteristic, complemented
11#21458539C211yesmaximal, characteristic, complemented
12#21458534C211yesmaximal, characteristic, complemented
13#21458533C211yesmaximal, characteristic, complemented
14#21458495C211yesmaximal, characteristic, complemented
15#21458492C211yesmaximal, characteristic, complemented
16#21458482C211yesmaximal, characteristic, complemented
17#21458476C211yesmaximal, characteristic, complemented
18#21456211C211yesmaximal, characteristic, complemented
19#21456185C211yesmaximal, characteristic, complemented
20#21456183C211yesmaximal, characteristic, complemented
21#21455673C211yesmaximal, characteristic, complemented
22#21455671C211yesmaximal, characteristic, complemented
23#477×D61C211yesmaximal, characteristic, complemented
24#21455372C211yesmaximal, characteristic, complemented
25#21455366C211yesmaximal, characteristic, complemented
26#21455273C211yesmaximal, characteristic
27#21454764C211yesmaximal, characteristic, complemented
28#21454694C211yesmaximal, characteristic, complemented
29#21454691C211yesmaximal, characteristic, complemented
30#21454635C211yesmaximal, characteristic, complemented
31C61×#3377C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519800C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840495C2211yescharacteristic
36#16840494C2211yescharacteristic
37Q8×Dic122C2211yescharacteristic
38Q8×Dic122C2211yescharacteristic
39#16840491C2211yescharacteristic
40#16840490C2211yescharacteristic
41#16840487C2211yescharacteristic
42#16840485C2211yescharacteristic
43#16840484C2211yescharacteristic
44#16840481C2211yescharacteristic
45#16840479—21no—
46#16840468—21no—
47#16840468—21no—
48#16840468C2211yescharacteristic
49#16840468C2211yescharacteristic
50#16840466—21no—
51#16840448—21no—
52#16840445—21no—
53Q8×D244—21no—
54Q8×D244C2211yescharacteristic
55#16840427—21no—
56#16840427C2211yescharacteristic
57#16840392—21no—
58#16840392—21no—
59#16840392C2211yescharacteristic
60#16840392C2211yescharacteristic
61#16840358—21no—
62#16840353—21no—
63#16840337C2211yescharacteristic
64#16840332C2211yescharacteristic
65#16840316—21no—
66#16840316C2211yescharacteristic
67#16840311C2211yescharacteristic
68C4⋊Q8×D61—21no—
69C4⋊Q8×D61C2211yescharacteristic
70#16840295—21no—
71#16840290—21no—
72#16840244C2211yescharacteristic
73#16840244C2211yescharacteristic
74#16840244C2211yescharacteristic
75#16840241C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×Q8×D61C2211yescharacteristic
78#16840132C2211yescharacteristic
79#16840129C2211yescharacteristic
80#16840129C2211yescharacteristic
81#16840124C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840122C2211yescharacteristic
84#16840122C2211yescharacteristic
85#16840121C2211yescharacteristic
86#16840121C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840119C2211yescharacteristic
89#16840118C2211yescharacteristic
90#16840115C2211yescharacteristic
91#16840113C2211yescharacteristic
92#16840112C2211yescharacteristic
93#16840111C2211yescharacteristic
94#16840111C2211yescharacteristic
95#16840111C2211yescharacteristic
96#16840111C2211yescharacteristic
97#16840107C2211yescharacteristic
98#16840107C2211yescharacteristic
99#16840072C2211yescharacteristic
100#16840071C2211yescharacteristic
101#16840066C2211yescharacteristic
102#16840061C2211yescharacteristic
103#16840060C2211yescharacteristic
104#16840059C2211yescharacteristic
105#16840058C2211yescharacteristic
106#16840058C2211yescharacteristic
107#16840057C2211yescharacteristic
108#16840057C2211yescharacteristic
109#16840056C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840055C2211yescharacteristic
113#16840055C2211yescharacteristic
114#16840055C2211yescharacteristic
115#16840054C2211yescharacteristic
116#16840043C2211yescharacteristic
117#16840042C2211yescharacteristic
118#16840041C2211yescharacteristic
119#16840040C2211yescharacteristic
120#16839986C2211yescharacteristic
121#16839984C2211yescharacteristic
122#16839984C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839980C2211yescharacteristic
125#16839978C2211yescharacteristic
126#16839978C2211yescharacteristic
127#16839976C2211yescharacteristic
128#16839974C2211yescharacteristic
129#16839974C2211yescharacteristic
130#16839972C2211yescharacteristic
131#16839970C2211yescharacteristic
132#16839970C2211yescharacteristic
133#16839970C2211yescharacteristic
134#16839968C2211yescharacteristic
135#16839966C2211yescharacteristic
136#16839966C2211yescharacteristic
137#16839966C2211yescharacteristic
138#16839964C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839893C2211yescharacteristic
142#16839891C2211yescharacteristic
143#16839891C2211yescharacteristic
144#16839890C2211yescharacteristic
145#16839890C2211yescharacteristic
146C8×Dic122C2211yescharacteristic
147#16839886C2211yescharacteristic
148#16839867C2211yescharacteristic
149#16839865C2211yescharacteristic
150#16839865C2211yescharacteristic
151#16839864C2211yescharacteristic
152#16839864C2211yescharacteristic
153#16839863C2211yescharacteristic
154#16839861C2211yescharacteristic
155#16839860C2211yescharacteristic
156#16839860C2211yescharacteristic
157#16839860C2211yescharacteristic
158Q16×Dic61C2211yescharacteristic
159Q16×Dic61C2211yescharacteristic
160C4×#11758202C2211yescharacteristic
161#16839854C2211yescharacteristic
162#16839854C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839847C2211yescharacteristic
165C4×D488C2211yescharacteristic
166#16839844C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839801C2211yescharacteristic
170#107×D61C2211yescharacteristic
171#107×D61C2211yescharacteristic
172#16839787C2211yescharacteristic
173#16839787C2211yescharacteristic
174C4⋊C8×D61C2211yescharacteristic
175#16839769C2211yescharacteristic
176#16839762C2211yescharacteristic
177#16839762C2211yescharacteristic
178#16839762C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839755C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#557C2211yescharacteristic
189C61×#556C2211yescharacteristic
190C61×#491C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#477C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic
198C61×#462C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#441C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×Q16×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61—21no—
207C2×Q8×D61—21no—
208C2×Q8×D61—21no—
209C2×Q8×D61C2311yescharacteristic
210#14519809—24no—
211#14519800—24no—
212#14519798—24no—
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×D488C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×#11758189C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519777—21no—
227#14519777—21no—
228#14519777—21no—
229#14519777C2311yescharacteristic
230#14519777C2311yescharacteristic
231#14519777C2311yescharacteristic
232#14519777C2311yescharacteristic
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776—21no—
239#14519776—21no—
240#14519776D411yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519775—21no—
246#14519775D411yescharacteristic
247#14519775C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519773C2311yescharacteristic
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519771—21no—
255#14519770—21no—
256#14519770—21no—
257#14519769—21no—
258#14519768—21no—
259#14519768—21no—
260#14519768—21no—
261#14519768C2311yescharacteristic
262#14519768C2311yescharacteristic
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767D411yescharacteristic
270#14519767D411yescharacteristic
271#14519766C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519763—21no—
276#14519763—21no—
277#14519762—21no—
278#14519762—21no—
279#14519761—21no—
280#14519760—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519757—21no—
286#14519757—21no—
287#14519757—21no—
288#14519757—21no—
289#14519757—21no—
290#14519757—21no—
291#14519757—21no—
292#14519757D411yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519755D411yescharacteristic
305#14519755D411yescharacteristic
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519753—21no—
310#14519753—21no—
311#14519753D411yescharacteristic
312#14519750—21no—
313#14519750—21no—
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333C4×D244—21no—
334C4×D244—21no—
335C4×D244—21no—
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342#14519739—21no—
343#14519739—21no—
344#14519739—21no—
345#14519739—21no—
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734C2311yescharacteristic
364#14519734C2311yescharacteristic
365#14519733—21no—
366#14519733—21no—
367C2×#11758196—21no—
368C4⋊C4×D61—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
378C42×D61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
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#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
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×Q16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C4⋊Q8×C61—21no—
442C4⋊Q8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#126×C61—21no—
445#126×C61—21no—
446#125×C61—21no—
447#125×C61—21no—
448#125×C61C2311yescharacteristic
449#125×C61C2311yescharacteristic
450#124×C61C2311yescharacteristic
451#124×C61C2311yescharacteristic
452C22⋊Q8×C61—21no—
453C4×Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61—21no—
462#107×C61C2311yescharacteristic
463#107×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#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493#11758226—22no—
494#11758226—22no—
495#11758226—22no—
496#11758226#4114yes—
497Q8×D61—22no—
498Q8×D61—22no—
499Q8×D61—82no—
500Q8×D61—82no—
501Q8×D61—82no—
502#11758224—22no—
503#11758224—22no—
504C2×D244—21no—
505C2×D244—21no—
506C2×D244C2411yescharacteristic
507C2×D244C2411yescharacteristic
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61C2×D411yescharacteristic
523C2×C4×D61C2×D411yescharacteristic
524C2×C4×D61C2411yescharacteristic
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122C2×D411yescharacteristic
534C2×Dic122C2×D411yescharacteristic
535C2×Dic122C2×D411yescharacteristic
536C2×Dic122C2411yescharacteristic
537C2×Dic122C2411yescharacteristic
538Q16×C61—22no—
539Q16×C61—22no—
540SD16×C61—22no—
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2411yescharacteristic
575C42×C61C2411yescharacteristic
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580#11758202—22no—
581#11758202—22no—
582#11758201—22no—
583#11758201—22no—
584#11758201—22no—
585#11758199—22no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
642#11758196—21no—
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672D488—22no—
673#11758190—22no—
674#11758190—22no—
675#11758189—22no—
676#11758189—22no—
677C8×D61—22no—
678C8×D61—22no—
679C23×C61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61C22×D411yescharacteristic
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—21no—
688Q8×C61—41no—
689Q8×C61—42no—
690Q8×C61C2×#4112yes—
691D4×C61—21no—
692D4×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—21no—
700C2×C4×C61—81no—
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C2511yescharacteristic
708C22⋊D61—42no—
709C22⋊D61—42no—
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—81no—
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726D244—24no—
727D244—21no—
728D244—21no—
729D244—21no—
730D244—42no—
731D244C2×#4112yes—
732C4×D61—24no—
733C4×D61—22no—
734C4×D61—41no—
735C4×D61—42no—
736C4×D61—42no—
737C4×D61—42no—
738C4×D61—42no—
739C4×D61—81no—
740C4×D61—81no—
741C4×D61—81no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61C2×#4112yes—
749C4×D612−1+412yes—
750Dic122—22no—
751Dic122—22no—
752Dic122—21no—
753Dic122—21no—
754Dic122—21no—
755Dic122—21no—
756Dic122—41no—
757Dic122—42no—
758Dic122—42no—
759Dic122—81no—
760Dic122—81no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765C8×C61—21no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769#92418—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#61348—611nomaximal, Sylow
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61C23×D411yescharacteristic
778C2×D61—21no—
779C2×D61—21no—
780C2×D61—22no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61#54812yes—
787C4×C61—21no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—22no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61C22×#4111yescharacteristic
801C4×C61C2×2−1+411yescharacteristic
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—41no—
808Dic61—41no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61#54812yes—
814Dic61#57812yes—
815#3507—611no—
816#3503—611no—
817#3377—611no—
818#3377—611no—
819#3377—611no—
820#3377D6111yescharacteristic, complemented
821#3375—611no—
822#3375—611no—
823#3372—611no—
824#3372—611no—
825#3367—611no—
826#3367—611no—
827#3367—611no—
828#3367—611no—
829#3363—611no—
830#3363—611no—
831#3361—611no—
832#3361—611no—
833#3141—611no—
834#3137—611no—
835#3137—611no—
836#3083—611no—
837#3083—611no—
838C2×#477—611no—
839#3046—611no—
840#3046—611no—
841#3035—611no—
842#2962—611no—
843#2951—611no—
844#2951—611no—
845C4×#137—611no—
846C2×C61—81no—
847C2×C61C2×#54811yescharacteristic
848C2×C61C2×#57811yescharacteristic
849C2×C61#358511yescharacteristic
850D61—22no—
851D61—42no—
852D61—81no—
853C2×#137—611no—
854C2×#135—611no—
855C2×#135—611no—
856#559—611no—
857#559—611no—
858Q82—611no—
859Q82—611no—
860#557—611no—
861#557—611no—
862#557—611no—
863#557C2×D6111yescharacteristic
864#556—611no—
865#556—611no—
866#556—611no—
867#556—1221no—
868#556C2×D6111yescharacteristic
869#554—611no—
870#554—611no—
871#554—1221no—
872#554—1221no—
873#554—1221no—
874#552—1221no—
875#552—1221no—
876D4×Q8—611no—
877D4×Q8—611no—
878D4×Q8—1221no—
879D4×Q8—1221no—
880#544—611no—
881#544—611no—
882#544—1221no—
883#544—1221no—
884#539—1221no—
885#539—1221no—
886#536—611no—
887#536—611no—
888#533—611no—
889#533—1221no—
890#532—611no—
891C2×C4⋊Q8—611no—
892C2×C4⋊Q8—1221no—
893#529—1221no—
894#529—1221no—
895#520—611no—
896#520—611no—
897#520—611no—
898#520—611no—
899C4×#41—611no—
900C2×C4×Q8—611no—
901#491—611no—
902#491—611no—
903#491—611no—
904#491C2×D6111yescharacteristic
905#489—611no—
906#489—611no—
907#489—611no—
908#489—611no—
909#489—611no—
910#489—611no—
911#489—611no—
912#489C2×D6111yescharacteristic
913#488—611no—
914#488—611no—
915#488—611no—
916#488C2×D6111yescharacteristic
917#487—611no—
918#487—611no—
919#487—611no—
920#487—611no—
921#487—611no—
922#487—611no—
923#486—611no—
924#486—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479C2×D6111yescharacteristic
929#478—611no—
930#478—611no—
931#478—611no—
932#478C2×D6111yescharacteristic
933#477—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477—611no—
940#477—611no—
941#477—611no—
942#477—611no—
943#477—611no—
944#477C2×D6111yescharacteristic
945#474—611no—
946#474—611no—
947#474—611no—
948#474—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#464—611no—
953#464C2×D6111yescharacteristic
954#464C2×D6111yescharacteristic
955#463—611no—
956#463—611no—
957#463—611no—
958#463—611no—
959#463—611no—
960#463—611no—
961#462—611no—
962#462—611no—
963#462—611no—
964#462—611no—
965#462C2×D6111yescharacteristic
966#461—611no—
967#461—611no—
968#461—611no—
969#461—611no—
970#461—611no—
971#460—611no—
972#459—611no—
973#446—611no—
974#446—611no—
975#446—611no—
976#446—611no—
977#446—611no—
978#446C2×D6111yescharacteristic
979C8×Q8—611no—
980C8×Q8—611no—
981#441—611no—
982#441C2×D6111yescharacteristic
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990#440—611no—
991#440—611no—
992#440C2×D6111yescharacteristic
993C4×Q16—611no—
994C4×Q16—611no—
995C4×Q16—611no—
996C4×Q16—611no—
997C4×Q16—611no—
998C4×Q16C2×D6111yescharacteristic
999C4×SD16—611no—
1000C4×SD16—611no—
1001C4×D8—611no—
1002C4×D8—611no—
1003C4×D8—611no—
1004C4×D8—611no—
1005#428—611no—
1006C2×#107—611no—
1007C2×#107—611no—
1008#424—611no—
1009#424—611no—
1010C2×C4⋊C8—611no—
1011#419—611no—
1012#417—611no—
1013#417—611no—
1014#417—611no—
1015#417—611no—
1016#417—611no—
1017#416—611no—
1018#416—611no—
1019C2×#103—611no—
1020C2×#103—611no—
1021#405—611no—
1022#405—611no—
1023C4×M16—611no—
1024C61#6134811yescharacteristic, complemented, Sylow
1025C2×#41—611no—
1026C2×#41—611no—
1027C2×#41—611no—
1028C22×Q8—611no—
1029C22×Q8—1221no—
1030C22×Q8—1221no—
1031C22×Q8—1221no—
1032#137—1224no—
1033#135—1224no—
1034#135—1224no—
1035C2×Q16—611no—
1036C2×Q16—611no—
1037C2×Q16C22×D6111yescharacteristic
1038C2×Q16C22×D6111yescharacteristic
1039C2×SD16—611no—
1040C2×SD16—611no—
1041C2×SD16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16C22×D6111yescharacteristic
1045C2×D8—611no—
1046C2×D8—611no—
1047C2×M16—611no—
1048C2×M16—611no—
1049C22×C8—611no—
1050C22×C8—611no—
1051C4⋊Q8—21no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8—1221no—
1075C4⋊Q8—1221no—
1076C4⋊Q8C22×D6111yescharacteristic
1077C4⋊Q8C22×D6111yescharacteristic
1078#127—611no—
1079#126—21no—
1080#126—21no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—21no—
1088#125—21no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—611no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#125—1221no—
1103#125C22×D6111yescharacteristic
1104#125C22×D6111yescharacteristic
1105#124—611no—
1106#124—611no—
1107#124—611no—
1108#124—611no—
1109#124—1221no—
1110#124—1221no—
1111#124C22×D6111yescharacteristic
1112#124C22×D6111yescharacteristic
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121C22⋊Q8—21no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149#121—1221no—
1150#121—1221no—
1151C4×Q8—21no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8C22×D6111yescharacteristic
1172C4×Q8C22×D6111yescharacteristic
1173C4×Q8C22×D6111yescharacteristic
1174C4×Q8C22×D6111yescharacteristic
1175C4×Q8C22×D6111yescharacteristic
1176C4×Q8C22×D6111yescharacteristic
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4C22×D6111yescharacteristic
1201#117—21no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—1221no—
1206#117—1221no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—1221no—
1217C2×C4⋊C4—1221no—
1218C2×C4⋊C4—1221no—
1219C2×C4⋊C4—1221no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C42—611no—
1225C2×C42—1221no—
1226C2×C42—1221no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107C22×D6111yescharacteristic
1236#107C22×D6111yescharacteristic
1237#106—611no—
1238#106C22×D6111yescharacteristic
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8C22×D6111yescharacteristic
1249C4⋊C8C22×D6111yescharacteristic
1250C4⋊C8C22×D6111yescharacteristic
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103C22×D6111yescharacteristic
1271#103C22×D6111yescharacteristic
1272#103C22×D6111yescharacteristic
1273#103C22×D6111yescharacteristic
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102C22×D6111yescharacteristic
1289#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
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×C8—611no—
1301C4×C8—611no—
1302C4×C8C22×D6111yescharacteristic
1303#41—614no—
1304#41—1222no—
1305#41—1222no—
1306#41—1222no—
1307#41—1222no—
1308#41—1222no—
1309C2×Q8—21no—
1310C2×Q8—611no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—1222no—
1321C2×Q8—1222no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—4882no—
1326C2×Q8—4882no—
1327C2×Q8—4882no—
1328C2×Q8D4×D6111yescharacteristic
1329C2×Q8C23×D6111yescharacteristic
1330C2×Q8C23×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4C23×D6111yescharacteristic
1340C22×C4—21no—
1341C22×C4—611no—
1342C22×C4—611no—
1343C22×C4—611no—
1344C22×C4—1221no—
1345C22×C4—1221no—
1346C22×C4—1221no—
1347C22×C4—1221no—
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—
1360Q16—22no—
1361Q16—22no—
1362Q16—1222no—
1363Q16—1222no—
1364SD16—22no—
1365SD16—1222no—
1366SD16—1222no—
1367SD16—1222no—
1368SD16—1222no—
1369SD16—1222no—
1370D8—1222no—
1371D8—1222no—
1372M16—1222no—
1373M16—1222no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8—611no—
1378C2×C8—1222no—
1379C2×C8—1222no—
1380C2×C8C23×D6111yescharacteristic
1381C2×C8C23×D6111yescharacteristic
1382C2×C8C23×D6111yescharacteristic
1383C2×C8C23×D6111yescharacteristic
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
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—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
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⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4D4×D6111yescharacteristic
1445C4⋊C4D4×D6111yescharacteristic
1446C4⋊C4D4×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
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—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C42—21no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—611no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—611no—
1488C42—1221no—
1489C42—1221no—
1490C42—1221no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42C23×D6111yescharacteristic
1499C42C23×D6111yescharacteristic
1500C42C23×D6111yescharacteristic
1501C23—21no—
1502C23—611no—
1503C23—1221no—
1504C23—1221no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—41no—
1511Q8—42no—
1512Q8—1222no—
1513Q8—1222no—
1514Q8—1221no—
1515Q8—1221no—
1516Q8—1221no—
1517Q8—1221no—
1518Q8—4881no—
1519Q8—4881no—
1520Q8—4881no—
1521Q8—4881no—
1522Q8—4881no—
1523Q8—4881no—
1524Q8—2441no—
1525Q8—2442no—
1526Q8—2442no—
1527Q8#41×D6112yes—
1528D4—21no—
1529D4—21no—
1530D4—612no—
1531D4—1224no—
1532D4—1221no—
1533D4—1221no—
1534D4—1221no—
1535D4—4881no—
1536D4—2442no—
1537D4—2442no—
1538D4—2442no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—81no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—612no—
1550C2×C4—612no—
1551C2×C4—611no—
1552C2×C4—611no—
1553C2×C4—611no—
1554C2×C4—611no—
1555C2×C4—611no—
1556C2×C4—1222no—
1557C2×C4—1224no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—4881no—
1572C2×C4—4881no—
1573C2×C4—4881no—
1574C2×C4—2441no—
1575C2×C4—2442no—
1576C2×C4—2442no—
1577C2×C4—2442no—
1578C2×C4—2442no—
1579C2×C4—2442no—
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C2×D4×D6111yescharacteristic
1583C2×C4C2×D4×D6111yescharacteristic
1584C2×C4C2×D4×D6111yescharacteristic
1585C2×C4C2×D4×D6111yescharacteristic
1586C2×C4C24×D6111yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1221no—
1592C8—1221no—
1593C8—1221no—
1594C8—1221no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—612no—
1599C22—1221no—
1600C22—1221no—
1601C22—1222no—
1602C22—2441no—
1603C22—2441no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22C22×D4×D6111yescharacteristic
1608C4—22no—
1609C4—21no—
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—612no—
1622C4—612no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—2441no—
1629C4—2441no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C4C2×#41×D6111yescharacteristic
1635C42−1+4×D6111yescharacteristic
1636C2—81no—
1637C2—1222no—
1638C2—4881no—
1639C2—2442no—
1640C2#548×D6111yescharacteristic
1641C2#578×D6111yescharacteristic
1642C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3377C2
socleC22×C61C23×D4
prime radical#21455273C2
hypercenter#3377D61
hypocenterC61#61348
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #21459680C2semidirect
2. #21459636C2semidirect
3. #21458666C2semidirect
4. #21458661C2semidirect
5. #21458658C2semidirect
6. #21458634C2semidirect
7. #21458628C2semidirect
8. #21458603C2semidirect
9. #21458597C2semidirect
10. #21458540C2semidirect
11. #21458539C2semidirect
12. #21458534C2semidirect
13. #21458533C2semidirect
14. #21458495C2semidirect
15. #21458492C2semidirect
16. #21458482C2semidirect
17. #21458476C2semidirect
18. #21456211C2semidirect
19. #21456185C2semidirect
20. #21456183C2semidirect
21. #21455673C2semidirect
22. #21455671C2semidirect
23. #477×D61C2semidirect
24. #21455372C2semidirect
25. #21455366C2semidirect
27. #21454764C2semidirect
28. #21454694C2semidirect
29. #21454691C2semidirect
30. #21454635C2semidirect
31. C61×#3377C2semidirect
820. #3377D61semidirect
1024. C61#61348semidirect

Maximal subgroups

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

subgroupindex
#214596802
#214596362
#214586662
#214586612
#214586582
#214586342
#214586282
#214586032
#214585972
#214585402
#214585392
#214585342
#214585332
#214584952
#214584922
#214584822
#214584762
#214562112
#214561852
#214561832
#214556732
#214556712
#477×D612
#214553722
#214553662
#214552732
#214547642
#214546942
#214546912
#214546352
C61×#33772
#6134861