Finite Group Databasebeta

← #30575906

Subgroups — #30575906

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459702C211yesmaximal, characteristic, complemented
2#21459385C211yesmaximal, characteristic
3#21458764C211yesmaximal, characteristic, complemented
4#21458663C211yesmaximal, characteristic, complemented
5#21458661C211yesmaximal, characteristic, complemented
6#21458392C211yesmaximal, characteristic, complemented
7#21458391C211yesmaximal, characteristic, complemented
8#21458356C211yesmaximal, characteristic, complemented
9#21458348C211yesmaximal, characteristic, complemented
10#21458341C211yesmaximal, characteristic, complemented
11#21458333C211yesmaximal, characteristic, complemented
12#21458040C211yesmaximal, characteristic, complemented
13#21458032C211yesmaximal, characteristic, complemented
14#21457920C211yesmaximal, characteristic, complemented
15#21457912C211yesmaximal, characteristic, complemented
16#21457860C211yesmaximal, characteristic, complemented
17#21457852C211yesmaximal, characteristic, complemented
18#21457212C211yesmaximal, characteristic, complemented
19#21457191C211yesmaximal, characteristic, complemented
20#21457155C211yesmaximal, characteristic, complemented
21#21457050C211yesmaximal, characteristic, complemented
22#21457034C211yesmaximal, characteristic, complemented
23#21456999C211yesmaximal, characteristic, complemented
24#21455977C211yesmaximal, characteristic, complemented
25#21455916C211yesmaximal, characteristic, complemented
26#21455886C211yesmaximal, characteristic, complemented
27#21455631C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454935C211yesmaximal, characteristic, complemented
31C61×#3388C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic, complemented
33#16840487—21no—
34#16840486C2211yescharacteristic
35#16840485C2211yescharacteristic
36#16840485C2211yescharacteristic
37#16840484—21no—
38#16840478C2211yescharacteristic
39#16840460—21no—
40#16840454—21no—
41#16840453C2211yescharacteristic
42#16840453C2211yescharacteristic, complemented
43#16840450C2211yescharacteristic
44#16840450C2211yescharacteristic
45#16840450C2211yescharacteristic
46#16840450C2211yescharacteristic, complemented
47#16840444—21no—
48#16840444—21no—
49#16840439—21no—
50#16840439—21no—
51#16840416C2211yescharacteristic
52#16840407C2211yescharacteristic
53#16840407C2211yescharacteristic
54#16840371—21no—
55#16840371—21no—
56#16840337—21no—
57#16840318C2211yescharacteristic
58#16840318C2211yescharacteristic, complemented
59#16840317C2211yescharacteristic
60#16840316C2211yescharacteristic
61#16840316C2211yescharacteristic, complemented
62#16840316C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298—21no—
65#16840298—21no—
66#16840297C2211yescharacteristic
67#16840297C2211yescharacteristic
68#16840275—21no—
69#16840238—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74C2×#14519735—21no—
75#16840172C2211yescharacteristic, complemented
76#16840168C2211yescharacteristic, complemented
77#16840161C2211yescharacteristic, complemented
78#16840132C2211yescharacteristic, complemented
79#16840131C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic
81#16840122C2211yescharacteristic
82#16840119C2211yescharacteristic
83#16840117C2211yescharacteristic
84#16840106C2211yescharacteristic
85#16840106C2211yescharacteristic
86#16840106C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840105C2211yescharacteristic, complemented
91#16840105C2211yescharacteristic, complemented
92#16840102C2211yescharacteristic, complemented
93#16840101C2211yescharacteristic, complemented
94#16840099C2211yescharacteristic
95#16840099C2211yescharacteristic, complemented
96#16840099C2211yescharacteristic, complemented
97#16840096C2211yescharacteristic
98#16840089C2211yescharacteristic
99#16840088C2211yescharacteristic
100#16840082C2211yescharacteristic
101#16840082C2211yescharacteristic
102#16840070C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840066C2211yescharacteristic, complemented
105#16840066C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic
107#16840062C2211yescharacteristic
108#16840062C2211yescharacteristic
109#16840059C2211yescharacteristic
110#16840058C2211yescharacteristic, complemented
111#16840056C2211yescharacteristic, complemented
112#16840056C2211yescharacteristic, complemented
113#16840054C2211yescharacteristic, complemented
114#16840052C2211yescharacteristic
115#16840051C2211yescharacteristic
116#16840050C2211yescharacteristic
117#16840046C2211yescharacteristic, complemented
118#16840046C2211yescharacteristic, complemented
119#16840046C2211yescharacteristic, complemented
120#16840046C2211yescharacteristic, complemented
121#16840044C2211yescharacteristic, complemented
122#16840041C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840040C2211yescharacteristic
125#16840040C2211yescharacteristic
126#16840021C2211yescharacteristic
127#16840021C2211yescharacteristic
128#16840021C2211yescharacteristic, complemented
129#16840019C2211yescharacteristic
130#16840019C2211yescharacteristic
131#16840019C2211yescharacteristic, complemented
132#16840011C2211yescharacteristic
133#16840009C2211yescharacteristic
134#16840004C2211yescharacteristic, complemented
135#16840002C2211yescharacteristic, complemented
136#16839994C2211yescharacteristic
137#16839992C2211yescharacteristic
138#16839985C2211yescharacteristic
139#16839985C2211yescharacteristic
140#16839984C2211yescharacteristic
141#16839984C2211yescharacteristic
142#16839973C2211yescharacteristic, complemented
143#16839972C2211yescharacteristic, complemented
144#16839971C2211yescharacteristic, complemented
145#16839971C2211yescharacteristic, complemented
146#16839966C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839925C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839921C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839914C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839870C2211yescharacteristic, complemented
156#16839867C2211yescharacteristic, complemented
157#16839864C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839860C2211yescharacteristic
161C4×Dic244C2211yescharacteristic, complemented
162C4×#11758202C2211yescharacteristic, complemented
163C4×#11758200C2211yescharacteristic
164#16839841C2211yescharacteristic
165#16839839C2211yescharacteristic
166#16839835C2211yescharacteristic
167#16839835C2211yescharacteristic, complemented
168#16839832C2211yescharacteristic
169#16839832C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic
171#16839817C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839801C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839799C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#557C2211yescharacteristic, complemented
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#479C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#476C2211yescharacteristic
198C61×#475C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226D411yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C2×Dic244C2311yescharacteristic
210C2×Dic244C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519775—21no—
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519771—21no—
244#14519771—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768—21no—
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519766—21no—
260#14519766—21no—
261#14519766—21no—
262#14519765—21no—
263#14519765C2311yescharacteristic
264#14519765C2311yescharacteristic
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519762—21no—
273#14519761—21no—
274#14519761—21no—
275#14519761—21no—
276#14519761—21no—
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519757C2311yescharacteristic
280#14519757C2311yescharacteristic
281#14519757C2311yescharacteristic
282#14519757C2311yescharacteristic
283#14519757C2311yescharacteristic
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519753—21no—
292#14519753—21no—
293#14519753C2311yescharacteristic
294#14519753C2311yescharacteristic
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519751—21no—
300#14519751—21no—
301#14519751—21no—
302#14519747—21no—
303#14519747—21no—
304Q8×Dic61—21no—
305Q8×Dic61—21no—
306Q8×Dic61D411yescharacteristic
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328#14519739—21no—
329#14519739—21no—
330#14519739D411yescharacteristic
331#14519739D411yescharacteristic
332#14519739D411yescharacteristic
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519735—21no—
341#14519735—21no—
342#14519735—21no—
343#14519735—21no—
344#14519735—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735D411yescharacteristic
350#14519735D411yescharacteristic
351#14519735D411yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519733—21no—
364#14519733—21no—
365C2×C4⋊Dic61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C2×#11758198—21no—
372C22⋊C4×D61—21no—
373C2×C4×Dic61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377C42×D61C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C22×Dic61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493#11758226—42no—
494Q8×D61—44no—
495#11758224—22no—
496#11758224—22no—
497#11758224—41no—
498#11758224—41no—
499D4×D61—22no—
500D4×D61—41no—
501C2×D244—21no—
502C2×D244—21no—
503C2×D244C2×D411yescharacteristic
504C2×D244C2×D411yescharacteristic
505C2×D244C2×D411yescharacteristic
506C2×D244C2411yescharacteristic
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—44no—
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2411yescharacteristic
520C2×C4×D61C2411yescharacteristic
521C2×C4×D61C2411yescharacteristic
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122C2411yescharacteristic
527C2×Dic122C2411yescharacteristic
528C2×Dic122C2411yescharacteristic
529SD16×C61—22no—
530C2×C8×C61C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C4⋊C4×C61—21no—
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×C61—21no—
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2×D411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C42×C61—21no—
560C42×C61—21no—
561C42×C61—21no—
562C42×C61C2411yescharacteristic
563C42×C61C2411yescharacteristic
564C42×C61C2411yescharacteristic
565C22⋊Dic61—21no—
566#11758202—41no—
567#11758202—41no—
568#11758201—41no—
569#11758200—22no—
570#11758198—21no—
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#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597#11758198C2×D411yescharacteristic
598#11758198C2×D411yescharacteristic
599#11758198C2×D411yescharacteristic
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61C2×D411yescharacteristic
611C4⋊Dic61C2×D411yescharacteristic
612C4⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—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×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663Dic244—41no—
664Dic244—41no—
665#11758190—41no—
666#11758189—41no—
667#11758189—41no—
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C22×D61—21no—
674C22×D61—42no—
675C22×D61—42no—
676C22×D61—81no—
677C22×D61C22×D411yescharacteristic
678C22×D61C22×D411yescharacteristic
679C22×D61C22×D411yescharacteristic
680Q8×C61—21no—
681Q8×C61—21no—
682Q8×C61—41no—
683Q8×C61—42no—
684Q8×C61—81no—
685D4×C61—21no—
686D4×C612−1+412yes—
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—42no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C2511yescharacteristic
704C22⋊D61—42no—
705C22⋊D61—42no—
706C22⋊D61—42no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—42no—
715C2×Dic61—42no—
716C2×Dic61—42no—
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722D244—21no—
723D244—21no—
724D244—41no—
725D244—41no—
726D244—41no—
727D244—81no—
728D244—81no—
729C4×D61—21no—
730C4×D61—21no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—22no—
736C4×D61—22no—
737C4×D61—22no—
738C4×D61—41no—
739C4×D61—41no—
740C4×D61—41no—
741C4×D61—42no—
742C4×D61—42no—
743C4×D61—42no—
744C4×D61—42no—
745C4×D61—42no—
746Dic122—21no—
747Dic122—21no—
748Dic122—21no—
749Dic122—21no—
750Dic122—21no—
751Dic122—21no—
752Dic122—42no—
753Dic122—42no—
754Dic122—42no—
755Dic122—42no—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62116—611nomaximal, Sylow
765C22×C61—22no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61C23×D411yescharacteristic
769C2×D61—21no—
770C2×D61—21no—
771C2×D61—21no—
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—21no—
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C2×D61—84no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—21no—
787C4×C61—21no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793C4×C61—41no—
794C4×C61—41no—
795C4×C61C2×2−1+411yescharacteristic
796C4×C61#58511yescharacteristic
797Dic61—21no—
798Dic61—21no—
799Dic61—21no—
800Dic61—21no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61—41no—
808Dic61#57512yes—
809#3509—611no—
810#3475—611no—
811#3388—611no—
812#3388D6111yescharacteristic, complemented
813#3377—611no—
814#3377—611no—
815#3352—611no—
816#3352—611no—
817#3349—611no—
818#3349—611no—
819#3348—611no—
820#3348—611no—
821#3323—611no—
822#3323—611no—
823#3315—611no—
824#3315—611no—
825#3311—611no—
826#3311—611no—
827#3255—611no—
828#3252—611no—
829#3248—611no—
830#3239—611no—
831#3237—611no—
832#3233—611no—
833#3116—611no—
834#3110—611no—
835#3107—611no—
836#3079—611no—
837#3077—611no—
838#3076—611no—
839#2989—611no—
840C2×C61—42no—
841C2×C61#348911yescharacteristic
842C2×C61C2×#57511yescharacteristic
843C2×C61#358611yescharacteristic
844D61—41no—
845D61—41no—
846D61—41no—
847D61—81no—
848#557—611no—
849#557—1221no—
850#557C2×D6111yescharacteristic, complemented
851#556—611no—
852#556—611no—
853#556—611no—
854#556—1221no—
855#555—611no—
856#554C2×D6111yescharacteristic
857#553—1221no—
858#552—611no—
859#552—611no—
860#552—611no—
861#552—611no—
862#552—611no—
863#552—611no—
864#552—1221no—
865#552—1221no—
866#552—1221no—
867#551—1221no—
868#551—1221no—
869#547—611no—
870#546—611no—
871#546—611no—
872#541—1221no—
873#541—1221no—
874#536—1221no—
875#533—611no—
876#533—611no—
877#533—611no—
878#533—611no—
879#533—611no—
880#533—611no—
881C2×C4⋊Q8—611no—
882#529—611no—
883#529—611no—
884#529—1221no—
885#529—1221no—
886#525—1221no—
887#519—1221no—
888C4×#41—611no—
889C4×#41—611no—
890C4×#41—611no—
891C2×C4×D4—611no—
892C2×#117—1221no—
893#501—611no—
894#501—611no—
895#501C2×D6111yescharacteristic, complemented
896#501C2×D6111yescharacteristic, complemented
897#499—611no—
898#499C2×D6111yescharacteristic, complemented
899#491—611no—
900#491—611no—
901#489—611no—
902#489—611no—
903#488—611no—
904#488—611no—
905#485—611no—
906#485—611no—
907#485—611no—
908#485—611no—
909#485—611no—
910#485—611no—
911#485—611no—
912#485—611no—
913#485—611no—
914#485—611no—
915#484—611no—
916#484—611no—
917#484—611no—
918#484—611no—
919#482—611no—
920#482—611no—
921#481—611no—
922#481—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479C2×D6111yescharacteristic, complemented
928#479C2×D6111yescharacteristic, complemented
929#478—611no—
930#478—611no—
931#478—611no—
932#478—611no—
933#478C2×D6111yescharacteristic
934#478C2×D6111yescharacteristic
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#476—611no—
940#476—611no—
941#476—611no—
942#476C2×D6111yescharacteristic
943#475—611no—
944#475—611no—
945#475—611no—
946#475—611no—
947#475—611no—
948#475C2×D6111yescharacteristic, complemented
949#474—611no—
950#474—611no—
951#474—611no—
952#474—611no—
953#470—611no—
954#470—611no—
955#470—611no—
956#470—611no—
957#470—611no—
958#470—611no—
959#468—611no—
960#468—611no—
961#467—611no—
962#467—611no—
963#465—611no—
964#465—611no—
965#464—611no—
966#464—611no—
967#464—611no—
968#464—611no—
969#462—611no—
970#462—611no—
971#462—611no—
972#462—611no—
973#461—611no—
974#461—611no—
975#452—611no—
976#452—611no—
977#452—611no—
978#452—611no—
979#450—611no—
980#450—611no—
981#446—611no—
982#446C2×D6111yescharacteristic, complemented
983#441—611no—
984#441—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440C2×D6111yescharacteristic
990#440C2×D6111yescharacteristic
991C4×Q16—611no—
992C4×Q16—611no—
993C4×SD16—611no—
994C4×SD16C2×D6111yescharacteristic
995#436—611no—
996#436—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#435—611no—
1001#432—611no—
1002#432—611no—
1003#431—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#428—611no—
1008#427—611no—
1009#427—611no—
1010#423—611no—
1011#423—611no—
1012C2×C4⋊C8—611no—
1013#418—611no—
1014#418—611no—
1015#417—611no—
1016#417—611no—
1017#416—611no—
1018#416—611no—
1019C61#6211611yescharacteristic, complemented, Sylow
1020C2×#41—611no—
1021C2×#41—611no—
1022C2×#41—611no—
1023C22×Q8—1221no—
1024C22×D4—611no—
1025C23×C4—1221no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×Q16—611no—
1029C2×Q16—611no—
1030C2×SD16—611no—
1031C2×SD16—611no—
1032C2×SD16—611no—
1033C2×SD16C22×D6111yescharacteristic
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16—611no—
1037C2×M16—611no—
1038C22×C8—611no—
1039C22×C8—611no—
1040C4⋊Q8—21no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8C22×D6111yescharacteristic
1051C4⋊Q8C22×D6111yescharacteristic
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#125—21no—
1067#125—21no—
1068#125—611no—
1069#125—611no—
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#125—1221no—
1081#125—1221no—
1082#125C22×D6111yescharacteristic
1083#125C22×D6111yescharacteristic
1084#125C22×D6111yescharacteristic
1085#125C22×D6111yescharacteristic
1086#124—611no—
1087#124—611no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—611no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126#121—611no—
1127#121—611no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121—1221no—
1132#120—1221no—
1133#120—1221no—
1134C4×Q8—21no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
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×Q8C22×D6111yescharacteristic
1155C4×Q8C22×D6111yescharacteristic
1156C4×Q8C22×D6111yescharacteristic
1157C4×Q8C22×D6111yescharacteristic
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4C22×D6111yescharacteristic
1176C4×D4C22×D6111yescharacteristic
1177C4×D4C22×D6111yescharacteristic
1178#117—611no—
1179#117—611no—
1180#117—611no—
1181#117—611no—
1182#117—611no—
1183#117—611no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117—1221no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117—1221no—
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C22⋊C4—1221no—
1210C2×C22⋊C4—1221no—
1211C2×C22⋊C4—1221no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—611no—
1215C2×C42—1221no—
1216C2×C42—1221no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#107C22×D6111yescharacteristic
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106C22×D6111yescharacteristic
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240#106C22×D6111yescharacteristic
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊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#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#103C22×D6111yescharacteristic
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8—611no—
1289#97—611no—
1290#97—611no—
1291#97C22×D6111yescharacteristic
1292#97C22×D6111yescharacteristic
1293C4×C8—611no—
1294C4×C8C22×D6111yescharacteristic
1295C24—1221no—
1296#41—1222no—
1297#41—1222no—
1298#41—2442no—
1299#41—2441no—
1300#41—2441no—
1301C2×Q8—21no—
1302C2×Q8—21no—
1303C2×Q8—611no—
1304C2×Q8—611no—
1305C2×Q8—611no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—2444no—
1311C2×Q8D4×D6111yescharacteristic
1312C2×Q8C23×D6111yescharacteristic
1313C2×D4—611no—
1314C2×D4—611no—
1315C2×D4—611no—
1316C2×D4—611no—
1317C2×D4—1221no—
1318C2×D4—1221no—
1319C2×D4—1221no—
1320C2×D4—1222no—
1321C2×D4—1221no—
1322C2×D4—1221no—
1323C2×D4—2441no—
1324C2×D4C23×D6111yescharacteristic
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—611no—
1336C22×C4—611no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4—1221no—
1345C22×C4—2444no—
1346Q16—2441no—
1347Q16—2441no—
1348Q16—2441no—
1349Q16—2441no—
1350SD16—22no—
1351SD16—1222no—
1352SD16—2441no—
1353SD16—2441no—
1354M16—2441no—
1355M16—2441no—
1356M16—2441no—
1357M16—2441no—
1358C2×C8—611no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—2441no—
1363C2×C8—2441no—
1364C2×C8C23×D6111yescharacteristic
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
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⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4D4×D6111yescharacteristic
1421C4⋊C4D4×D6111yescharacteristic
1422C4⋊C4D4×D6111yescharacteristic
1423C4⋊C4C23×D6111yescharacteristic
1424C4⋊C4C23×D6111yescharacteristic
1425C4⋊C4C23×D6111yescharacteristic
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C4⋊C4C23×D6111yescharacteristic
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—611no—
1433C22⋊C4—611no—
1434C22⋊C4—611no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
1437C22⋊C4—611no—
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⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—611no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—611no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C42C23×D6111yescharacteristic
1489C23—21no—
1490C23—611no—
1491C23—611no—
1492C23—611no—
1493C23—1221no—
1494C23—4881no—
1495C23—2442no—
1496C23—2442no—
1497Q8—21no—
1498Q8—21no—
1499Q8—41no—
1500Q8—42no—
1501Q8—81no—
1502Q8—1221no—
1503Q8—1221no—
1504Q8—1221no—
1505Q8—1221no—
1506Q8—1221no—
1507Q8—1221no—
1508Q8—2442no—
1509Q8—2442no—
1510Q8—2442no—
1511Q8—2442no—
1512D4—21no—
1513D4—1221no—
1514D4—1221no—
1515D4—4881no—
1516D4—4881no—
1517D4—2441no—
1518D4—2441no—
1519D4—2441no—
1520D4—2442no—
1521D4—2442no—
1522D4—2442no—
1523D4#1451982512yes—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—42no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—611no—
1535C2×C4—611no—
1536C2×C4—611no—
1537C2×C4—611no—
1538C2×C4—611no—
1539C2×C4—1222no—
1540C2×C4—1222no—
1541C2×C4—1222no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—2441no—
1556C2×C4—2441no—
1557C2×C4—2441no—
1558C2×C4—2442no—
1559C2×C4—2442no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2442no—
1565C2×C4—2442no—
1566C2×C4C2×D4×D6111yescharacteristic
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C2×D4×D6111yescharacteristic
1572C2×C4C24×D6111yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C8—1221no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—1221no—
1585C22—1221no—
1586C22—1221no—
1587C22—1221no—
1588C22—1221no—
1589C22—1221no—
1590C22—1221no—
1591C22—1221no—
1592C22—1221no—
1593C22—4884no—
1594C22—2441no—
1595C22—2441no—
1596C22—2441no—
1597C22C22×D4×D6111yescharacteristic
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—612no—
1612C4—1221no—
1613C4—1221no—
1614C4—1221no—
1615C4—1221no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C4—2441no—
1622C4—2441no—
1623C4C2×#1451982511yescharacteristic
1624C4#1684059911yescharacteristic
1625C2—42no—
1626C2—4881no—
1627C2—2441no—
1628C2—2441no—
1629C2—2441no—
1630C2#2145949611yescharacteristic
1631C2#575×D6111yescharacteristic
1632C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3388C2
socleC22×C61C23×D4
prime radical#21459385C2
hypercenter#3388D61
hypocenterC61#62116
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #21459702C2semidirect
3. #21458764C2semidirect
4. #21458663C2semidirect
5. #21458661C2semidirect
6. #21458392C2semidirect
7. #21458391C2semidirect
8. #21458356C2semidirect
9. #21458348C2semidirect
10. #21458341C2semidirect
11. #21458333C2semidirect
12. #21458040C2semidirect
13. #21458032C2semidirect
14. #21457920C2semidirect
15. #21457912C2semidirect
16. #21457860C2semidirect
17. #21457852C2semidirect
18. #21457212C2semidirect
19. #21457191C2semidirect
20. #21457155C2semidirect
21. #21457050C2semidirect
22. #21457034C2semidirect
23. #21456999C2semidirect
24. #21455977C2semidirect
25. #21455916C2semidirect
26. #21455886C2semidirect
27. #21455631C2semidirect
28. #21455614C2semidirect
29. #21455604C2semidirect
30. #21454935C2semidirect
31. C61×#3388C2semidirect
32. #16840490C22semidirect
42. #16840453C22semidirect
46. #16840450C22semidirect
58. #16840318C22semidirect
61. #16840316C22semidirect
62. #16840316C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840168C22semidirect
77. #16840161C22semidirect
78. #16840132C22semidirect
79. #16840131C22semidirect
86. #16840106C22semidirect
87. #16840106C22semidirect
90. #16840105C22semidirect
91. #16840105C22semidirect
92. #16840102C22semidirect
93. #16840101C22semidirect
95. #16840099C22semidirect
96. #16840099C22semidirect
102. #16840070C22semidirect
103. #16840066C22semidirect
104. #16840066C22semidirect
105. #16840066C22semidirect
110. #16840058C22semidirect
111. #16840056C22semidirect
112. #16840056C22semidirect
113. #16840054C22semidirect
117. #16840046C22semidirect
118. #16840046C22semidirect
119. #16840046C22semidirect
120. #16840046C22semidirect
121. #16840044C22semidirect
128. #16840021C22semidirect
131. #16840019C22semidirect
134. #16840004C22semidirect
135. #16840002C22semidirect
142. #16839973C22semidirect
143. #16839972C22semidirect
144. #16839971C22semidirect
145. #16839971C22semidirect
154. #16839893C22semidirect
155. #16839870C22semidirect
156. #16839867C22semidirect
161. C4×Dic244C22semidirect
162. C4×#11758202C22semidirect
167. #16839835C22semidirect
169. #16839832C22semidirect
171. #16839817C22semidirect
172. #16839813C22semidirect
175. #16839801C22semidirect
176. #16839801C22semidirect
177. #16839799C22semidirect
178. #16839797C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
188. C61×#557C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
193. C61×#479C22semidirect
194. C61×#479C22semidirect
198. C61×#475C22semidirect
199. C61×#446C22semidirect
812. #3388D61semidirect
850. #557C2×D61semidirect
895. #501C2×D61semidirect
896. #501C2×D61semidirect
898. #499C2×D61semidirect
927. #479C2×D61semidirect
928. #479C2×D61semidirect
948. #475C2×D61semidirect
982. #446C2×D61semidirect
1019. C61#62116semidirect

Maximal subgroups

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

subgroupindex
#214597022
#214593852
#214587642
#214586632
#214586612
#214583922
#214583912
#214583562
#214583482
#214583412
#214583332
#214580402
#214580322
#214579202
#214579122
#214578602
#214578522
#214572122
#214571912
#214571552
#214570502
#214570342
#214569992
#214559772
#214559162
#214558862
#214556312
#214556142
#214556042
#214549352
C61×#33882
#6211661