Finite Group Databasebeta

← #30548931

Subgroups — #30548931

Order 15616.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459546C211yesmaximal, characteristic, complemented
2#21459021C211yesmaximal, characteristic, complemented
3#21456104C211yesmaximal, characteristic, complemented
4#21456058C211yesmaximal, characteristic, complemented
5#21456057C211yesmaximal, characteristic, complemented
6#21456048C211yesmaximal, characteristic, complemented
7#21456041C211yesmaximal, characteristic, complemented
8#21456005C211yesmaximal, characteristic, complemented
9#21455998C211yesmaximal, characteristic, complemented
10#21455969C211yesmaximal, characteristic, complemented
11#21455968C211yesmaximal, characteristic, complemented
12#21455935C211yesmaximal, characteristic, complemented
13#21455926C211yesmaximal, characteristic, complemented
14#21455878C211yesmaximal, characteristic, complemented
15#21455877C211yesmaximal, characteristic, complemented
16#21455844C211yesmaximal, characteristic, complemented
17#21455835C211yesmaximal, characteristic, complemented
18#21455747C211yesmaximal, characteristic, complemented
19#482×D61C211yesmaximal, characteristic, complemented
20#21455684C211yesmaximal, characteristic, complemented
21#21455673C211yesmaximal, characteristic, complemented
22#21455355C211yesmaximal, characteristic, complemented
23#21455355C211yesmaximal, characteristic, complemented
24#21455070C211yesmaximal, characteristic, complemented
25#21455036C211yesmaximal, characteristic, complemented
26#21454697C211yesmaximal, characteristic, complemented
27#21454691C211yesmaximal, characteristic, complemented
28#21454650C211yesmaximal, characteristic, complemented
29#21454646C211yesmaximal, characteristic, complemented
30#21454475C211yesmaximal, characteristic, complemented
31C61×#3126C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C2×#14519804C2211yescharacteristic
34C2×#14519804C2211yescharacteristic
35C2×#14519798C2211yescharacteristic
36C2×#14519798C2211yescharacteristic
37#16840476—21no—
38#16840457—21no—
39#16840455—21no—
40#16840440—21no—
41#16840435—21no—
42#16840410—21no—
43#16840409—21no—
44#16840401—21no—
45#16840392C2211yescharacteristic, complemented
46#16840383C2211yescharacteristic
47#16840379C2211yescharacteristic
48#16840365C2211yescharacteristic
49#16840325C2211yescharacteristic, complemented
50#16840310C2211yescharacteristic, complemented
51#16840309C2211yescharacteristic, complemented
52#16840297C2211yescharacteristic, complemented
53#16840294C2211yescharacteristic, complemented
54#16840272C2211yescharacteristic
55#121×D61C2211yescharacteristic
56#16840244—21no—
57#16840244—21no—
58#16840244C2211yescharacteristic
59#16840244C2211yescharacteristic
60#16840244C2211yescharacteristic
61#16840244C2211yescharacteristic
62#16840241C2211yescharacteristic, complemented
63#16840240C2211yescharacteristic, complemented
64#16840236—21no—
65#16840236—21no—
66#16840236C2211yescharacteristic, complemented
67#16840236C2211yescharacteristic, complemented
68#16840234C2211yescharacteristic, complemented
69C4×#11758226—21no—
70C4×#11758226—21no—
71C4×#11758226C2211yescharacteristic, complemented
72C4×#11758226C2211yescharacteristic, complemented
73C4×#11758226C2211yescharacteristic, complemented
74C4×#11758226C2211yescharacteristic, complemented
75#117×D61—21no—
76#117×D61—21no—
77#117×D61C2211yescharacteristic
78#117×D61C2211yescharacteristic
79#16840106C2211yescharacteristic, complemented
80#16840105C2211yescharacteristic, complemented
81#16840104C2211yescharacteristic, complemented
82#16840103C2211yescharacteristic, complemented
83#16840089C2211yescharacteristic, complemented
84#16840088C2211yescharacteristic, complemented
85#16840087C2211yescharacteristic
86#16840086C2211yescharacteristic
87#16840085C2211yescharacteristic, complemented
88#16840085C2211yescharacteristic, complemented
89#16840084C2211yescharacteristic, complemented
90#16840084C2211yescharacteristic, complemented
91#16840083C2211yescharacteristic
92#16840083C2211yescharacteristic, complemented
93#16840071C2211yescharacteristic, complemented
94#16840067C2211yescharacteristic, complemented
95#16840065C2211yescharacteristic, complemented
96#16840061C2211yescharacteristic, complemented
97#16840059C2211yescharacteristic, complemented
98#16840059C2211yescharacteristic, complemented
99#16840057C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840053C2211yescharacteristic, complemented
102#16840051C2211yescharacteristic, complemented
103#16840047C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840043C2211yescharacteristic, complemented
106#16840041C2211yescharacteristic, complemented
107#16839984C2211yescharacteristic, complemented
108#16839984C2211yescharacteristic, complemented
109#16839982C2211yescharacteristic, complemented
110#16839982C2211yescharacteristic, complemented
111#16839978C2211yescharacteristic, complemented
112#16839978C2211yescharacteristic, complemented
113#16839976C2211yescharacteristic, complemented
114#16839976C2211yescharacteristic, complemented
115#16839960C2211yescharacteristic, complemented
116#16839960C2211yescharacteristic, complemented
117#16839956C2211yescharacteristic, complemented
118#16839956C2211yescharacteristic, complemented
119#16839954C2211yescharacteristic, complemented
120#16839954C2211yescharacteristic, complemented
121#16839927C2211yescharacteristic, complemented
122#16839927C2211yescharacteristic, complemented
123#16839918C2211yescharacteristic, complemented
124#16839915C2211yescharacteristic, complemented
125#16839910C2211yescharacteristic
126#16839910C2211yescharacteristic
127#16839906C2211yescharacteristic
128#16839906C2211yescharacteristic
129#16839906C2211yescharacteristic, complemented
130#16839906C2211yescharacteristic, complemented
131#16839901C2211yescharacteristic
132#16839898C2211yescharacteristic
133#16839895C2211yescharacteristic
134#16839895C2211yescharacteristic, complemented
135#16839875C2211yescharacteristic, complemented
136#16839873C2211yescharacteristic, complemented
137#16839872C2211yescharacteristic, complemented
138#16839872C2211yescharacteristic, complemented
139#16839871C2211yescharacteristic, complemented
140#16839871C2211yescharacteristic, complemented
141#16839867C2211yescharacteristic, complemented
142#16839866C2211yescharacteristic, complemented
143#16839865C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839863C2211yescharacteristic, complemented
146#16839863C2211yescharacteristic, complemented
147#16839861C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149C4×#11758202C2211yescharacteristic, complemented
150#16839854C2211yescharacteristic, complemented
151C4×#11758190C2211yescharacteristic, complemented
152SD16×Dic61C2211yescharacteristic, complemented
153SD16×Dic61C2211yescharacteristic, complemented
154C4×#11758201C2211yescharacteristic, complemented
155#16839849C2211yescharacteristic, complemented
156#16839847C2211yescharacteristic, complemented
157C4×D488C2211yescharacteristic, complemented
158#16839844C2211yescharacteristic, complemented
159C4×#11758199C2211yescharacteristic, complemented
160C4×#11758199C2211yescharacteristic, complemented
161#16839842C2211yescharacteristic, complemented
162#16839842C2211yescharacteristic, complemented
163#16839823C2211yescharacteristic, complemented
164#16839820C2211yescharacteristic, complemented
165#16839820C2211yescharacteristic, complemented
166#16839818C2211yescharacteristic, complemented
167#16839817C2211yescharacteristic, complemented
168#16839814C2211yescharacteristic, complemented
169#16839813C2211yescharacteristic, complemented
170#16839803C2211yescharacteristic, complemented
171#16839801C2211yescharacteristic, complemented
172#107×D61C2211yescharacteristic, complemented
173#106×D61C2211yescharacteristic, complemented
174#16839787C2211yescharacteristic, complemented
175#16839787C2211yescharacteristic, complemented
176#16839762C2211yescharacteristic
177#16839762C2211yescharacteristic
178#16839760C2211yescharacteristic, complemented
179#16839760C2211yescharacteristic, complemented
180#16839757C2211yescharacteristic
181#16839757C2211yescharacteristic
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#16839724C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186#16839719C2211yescharacteristic, complemented
187#16839716C2211yescharacteristic, complemented
188C61×#540C2211yescharacteristic
189C61×#519C2211yescharacteristic, complemented
190C61×#482C2211yescharacteristic
191C61×#482C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#460C2211yescharacteristic, complemented
195C61×#460C2211yescharacteristic, complemented
196C61×#448C2211yescharacteristic
197C61×#448C2211yescharacteristic, complemented
198C61×#440C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226—24no—
204C2×#11758226—24no—
205C2×#11758226—21no—
206C2×#11758226—21no—
207C2×#11758226C2311yescharacteristic
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758222—21no—
212C2×#11758224—21no—
213C2×#11758224C2311yescharacteristic
214C22×D244—21no—
215C22×D244C2311yescharacteristic
216C2×D4×D61—21no—
217C2×D4×D61C2311yescharacteristic
218C22×C4×D61—21no—
219C22×C4×D61C2311yescharacteristic
220#14519804—24no—
221#14519804—24no—
222#14519798—24no—
223#14519798—24no—
224C2×#11758202C2311yescharacteristic
225C2×#11758202C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×D488C2311yescharacteristic
231C2×D488C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C2×#11758199C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758189C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239C2×C8×D61C2311yescharacteristic
240#14519777C2311yescharacteristic
241#14519776—21no—
242#14519776C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772—21no—
246#14519770—21no—
247#14519770—21no—
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519765C2311yescharacteristic
251#14519764—21no—
252#14519764—21no—
253#14519764C2311yescharacteristic
254#14519763—21no—
255#14519763—21no—
256#14519762—21no—
257#14519761—21no—
258#14519759—21no—
259#14519759—21no—
260#14519759—21no—
261#14519759—21no—
262#14519758—21no—
263#14519757—21no—
264#14519757C2311yescharacteristic
265#14519756C2311yescharacteristic
266#14519755—21no—
267#14519755—21no—
268#14519754—21no—
269#14519752C2311yescharacteristic
270#14519751C2311yescharacteristic
271#14519750—21no—
272#14519750—21no—
273#14519749—21no—
274#14519749—21no—
275#14519749—21no—
276#14519749—21no—
277#14519748—21no—
278#14519748—21no—
279#14519748C2311yescharacteristic
280#14519748C2311yescharacteristic
281#14519745—21no—
282#14519745—21no—
283#14519745—21no—
284Q8×Dic61—21no—
285Q8×Dic61—21no—
286Q8×Dic61C2311yescharacteristic
287Q8×Dic61C2311yescharacteristic
288Q8×Dic61C2311yescharacteristic
289Q8×Dic61C2311yescharacteristic
290C4×Dic122C2311yescharacteristic
291#14519742C2311yescharacteristic
292C4×D244—21no—
293C4×D244—21no—
294C4×D244—21no—
295C4×D244—21no—
296C4×D244—21no—
297C4×D244—21no—
298C4×D244—21no—
299C4×D244—21no—
300C4×D244—21no—
301C4×D244—21no—
302C4×D244C2311yescharacteristic
303C4×D244C2311yescharacteristic
304C4×D244C2311yescharacteristic
305C4×D244C2311yescharacteristic
306C4×D244C2311yescharacteristic
307D4×Dic61—21no—
308D4×Dic61—21no—
309D4×Dic61C2311yescharacteristic
310D4×Dic61C2311yescharacteristic
311#14519739—21no—
312#14519739—21no—
313#14519739—21no—
314#14519739—21no—
315#14519739—21no—
316#14519739—21no—
317#14519739—21no—
318#14519739—21no—
319#14519739—21no—
320#14519739—21no—
321#14519739—21no—
322#14519739C2311yescharacteristic
323#14519739C2311yescharacteristic
324#14519739C2311yescharacteristic
325#14519739C2311yescharacteristic
326#14519739C2311yescharacteristic
327C4×C22⋊D61—21no—
328C4×C22⋊D61—21no—
329C4×C22⋊D61—21no—
330C4×C22⋊D61—21no—
331#14519737—21no—
332#14519737—21no—
333#14519737—21no—
334#14519736—21no—
335#14519736—21no—
336#14519736—21no—
337#14519736C2311yescharacteristic
338#14519736C2311yescharacteristic
339#14519735—21no—
340#14519735—21no—
341#14519735—21no—
342#14519735—21no—
343#14519735—21no—
344#14519735D411yescharacteristic
345#14519735D411yescharacteristic
346#14519735C2311yescharacteristic
347#14519735C2311yescharacteristic
348#14519735C2311yescharacteristic
349#14519734—21no—
350#14519734—21no—
351#14519734—21no—
352#14519734—21no—
353#14519734—21no—
354#14519734C2311yescharacteristic
355#14519734C2311yescharacteristic
356#14519733—21no—
357#14519733—21no—
358#14519733D411yescharacteristic
359#14519733D411yescharacteristic
360C2×#11758196—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61D411yescharacteristic
366C4⋊C4×D61D411yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C22⋊C4×D61D411yescharacteristic
379C22⋊C4×D61D411yescharacteristic
380C42×D61—21no—
381C42×D61—21no—
382C42×D61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386C42×D61C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C4×#92418C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446#127×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448#123×C61—21no—
449#123×C61—21no—
450#121×C61—21no—
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61—21no—
455C4×Q8×C61—21no—
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61—21no—
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61C2×D411yescharacteristic
487C2×Q8×C61—22no—
488C2×Q8×C61—22no—
489C2×Q8×C61—21no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61C2×D411yescharacteristic
513#11758226—28no—
514#11758226—28no—
515#11758226—22no—
516#11758226—22no—
517#11758226—22no—
518#11758226—22no—
519#11758226—22no—
520#11758226—22no—
521#11758226#4114yescomplemented
522#11758226#4114yescomplemented
523#11758224—22no—
524#11758224—22no—
525#11758224—82no—
526D4×D61—22no—
527D4×D61—22no—
528D4×D61—82no—
529#11758222—82no—
530C2×D244—28no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—22no—
537C2×D244—22no—
538C2×D244—21no—
539C2×D244C2411yescharacteristic
540C2×D244C2411yescharacteristic
541C2×D244C2411yescharacteristic
542C2×C4×D61—28no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—22no—
548C2×C4×D61—22no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61C2×D411yescharacteristic
563C2×C4×D61C2×D411yescharacteristic
564C2×C4×D61C2×D411yescharacteristic
565C2×C4×D61C2×D411yescharacteristic
566C2×C4×D61C2×D411yescharacteristic
567C2×C4×D61C2×D411yescharacteristic
568C2×C4×D61C2411yescharacteristic
569C2×C4×D61C2411yescharacteristic
570C2×Dic122—21no—
571C2×Dic122—21no—
572C2×Dic122C2411yescharacteristic
573SD16×C61—22no—
574SD16×C61—22no—
575SD16×C61—22no—
576SD16×C61—22no—
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2×D411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61C2×D411yescharacteristic
599C22⋊C4×C61C2×D411yescharacteristic
600C42×C61—21no—
601C42×C61—21no—
602C42×C61—21no—
603C42×C61—21no—
604C42×C61—21no—
605C42×C61C2411yescharacteristic
606C42×C61C2411yescharacteristic
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61C2×D411yescharacteristic
616C22⋊Dic61C2×D411yescharacteristic
617#11758202—22no—
618#11758202—22no—
619#11758201—22no—
620#11758201—22no—
621#11758199—22no—
622#11758199—22no—
623#11758199—22no—
624#11758199—22no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
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⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692D488—22no—
693D488—22no—
694#11758190—22no—
695#11758190—22no—
696#11758189—22no—
697#11758189—22no—
698C8×D61—22no—
699C8×D61—22no—
700C23×C61—21no—
701C23×C61—21no—
702C23×C61C22×D411yescharacteristic
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—24no—
706C22×D61—22no—
707C22×D61—21no—
708C22×D61—41no—
709C22×D61—41no—
710C22×D61—42no—
711C22×D61—81no—
712C22×D61—81no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61C22×D411yescharacteristic
716C22×D61C22×D411yescharacteristic
717Q8×C61—24no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61C2×#4112yes—
721Q8×C61C2×#4112yes—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730C2×C4×C61—24no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—81no—
740C2×C4×C61—81no—
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C2511yescharacteristic
747C22⋊D61—42no—
748C22⋊D61—42no—
749C22⋊D61—42no—
750C22⋊D61—42no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C2×Dic61—22no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—42no—
761C2×Dic61—81no—
762C2×Dic61—81no—
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769D244—24no—
770D244—24no—
771D244—24no—
772D244—24no—
773D244—24no—
774D244—21no—
775D244—21no—
776D244—21no—
777D244—21no—
778D244—42no—
779D244C2×#4112yes—
780D244C2×#4112yes—
781C4×D61—24no—
782C4×D61—24no—
783C4×D61—22no—
784C4×D61—21no—
785C4×D61—21no—
786C4×D61—24no—
787C4×D61—24no—
788C4×D61—22no—
789C4×D61—41no—
790C4×D61—41no—
791C4×D61—41no—
792C4×D61—41no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796C4×D61—81no—
797C4×D61—81no—
798C4×D61—81no—
799C4×D61—81no—
800C4×D61—81no—
801C4×D61—81no—
802C4×D61—81no—
803C4×D61—81no—
804C4×D61—81no—
805C4×D61—81no—
806C4×D61C2×#4112yes—
807C4×D61C2×#4112yes—
808Dic122—21no—
809Dic122—21no—
810Dic122—81no—
811Dic122—81no—
812C8×C61—21no—
813C8×C61—21no—
814C8×C61—21no—
815C8×C61—21no—
816#92418—21no—
817#92418—21no—
818#92418—21no—
819#92418—21no—
820#60587—611nomaximal, Sylow
821C22×C61—21no—
822C22×C61—21no—
823C22×C61—21no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61C23×D411yescharacteristic
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—21no—
834C2×D61—21no—
835C2×D61—21no—
836C2×D61—22no—
837C2×D61—22no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—82no—
846C2×D61—84no—
847C2×D61—162no—
848C2×D61#52512yes—
849C4×C61—21no—
850C4×C61—21no—
851C4×C61—21no—
852C4×C61—21no—
853C4×C61—22no—
854C4×C61—22no—
855C4×C61—21no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61C22×#4111yescharacteristic
861C4×C61C22×#4111yescharacteristic
862Dic61—21no—
863Dic61—21no—
864Dic61—21no—
865Dic61—21no—
866Dic61—21no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61#52512yes—
873#3494—611no—
874#3428—611no—
875#3126—611no—
876#3126D6111yescharacteristic, complemented
877#3122—611no—
878#3122—611no—
879#3121—611no—
880#3121—611no—
881#3118—611no—
882#3118—611no—
883#3115—611no—
884#3115—611no—
885#3111—611no—
886#3111—611no—
887#3106—611no—
888#3106—611no—
889#3102—611no—
890#3102—611no—
891#3093—611no—
892C2×#482—611no—
893#3084—611no—
894#3083—611no—
895#3045—611no—
896#3045—611no—
897#3006—611no—
898#3002—611no—
899#2952—611no—
900#2951—611no—
901#2946—611no—
902#2946—611no—
903#2924—611no—
904C2×C61—41no—
905C2×C61—81no—
906C2×C61—81no—
907C2×C61C2×#52511yescharacteristic
908C2×C61#358411yescharacteristic
909C2×C61#358511yescharacteristic
910D61—22no—
911D61—41no—
912D61—42no—
913D61—42no—
914D61—81no—
915C22×#41—611no—
916C2×AGL(1,ℤ/8)—611no—
917C2×AGL(1,ℤ/8)—611no—
918C2×#135—611no—
919C2×#135—611no—
920#555—1221no—
921#553—1221no—
922#553—1221no—
923#551—1221no—
924#551—1221no—
925#547—1221no—
926#546—1221no—
927#546—1221no—
928#544—611no—
929#542—611no—
930#542—611no—
931#540—611no—
932#540C2×D6111yescharacteristic
933#535—611no—
934#532—611no—
935#532—611no—
936#529—611no—
937#529—611no—
938#525—611no—
939C2×#121—611no—
940#520—611no—
941#520—611no—
942#520—611no—
943#520—611no—
944#520—611no—
945#520—1221no—
946#520—1221no—
947#519—611no—
948#519C2×D6111yescharacteristic, complemented
949#518—611no—
950#518—611no—
951#518—611no—
952#518—1221no—
953#518—1221no—
954C4×#41—611no—
955C4×#41—611no—
956C4×#41—611no—
957C4×#41—611no—
958C4×#41—1221no—
959C4×#41—1221no—
960C2×#117—611no—
961C2×#117—611no—
962C2×#117—1221no—
963C2×#117—1221no—
964#485—611no—
965#485—611no—
966#485—611no—
967#485—611no—
968#482—611no—
969#482—611no—
970#482—611no—
971#482—611no—
972#482—611no—
973#482—611no—
974#482—611no—
975#482—611no—
976#482—611no—
977#482—611no—
978#482C2×D6111yescharacteristic
979#482C2×D6111yescharacteristic, complemented
980#479—611no—
981#479—611no—
982#479C2×D6111yescharacteristic, complemented
983#479C2×D6111yescharacteristic, complemented
984#478—611no—
985#478—611no—
986#478—611no—
987#478—611no—
988#477—611no—
989#477—611no—
990#476—611no—
991#476—611no—
992#475—611no—
993#475—611no—
994#474—611no—
995#474—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#463—611no—
1001#463—611no—
1002#463—611no—
1003#463—611no—
1004#460—611no—
1005#460—611no—
1006#460C2×D6111yescharacteristic, complemented
1007#460C2×D6111yescharacteristic, complemented
1008#459—611no—
1009#459—611no—
1010#459—611no—
1011#459—611no—
1012#452—611no—
1013#452—611no—
1014#451—611no—
1015#450—611no—
1016#449—611no—
1017#449—611no—
1018#449—611no—
1019#449—611no—
1020#449—611no—
1021#449—611no—
1022#448—611no—
1023#448C2×D6111yescharacteristic
1024#448C2×D6111yescharacteristic, complemented
1025#447—611no—
1026#447—611no—
1027#447—611no—
1028#442—611no—
1029#442—611no—
1030#442—611no—
1031#442—611no—
1032#442—611no—
1033#442—611no—
1034#441—611no—
1035#441—611no—
1036#440—611no—
1037#440—611no—
1038#440—611no—
1039#440—611no—
1040#440—611no—
1041#440—611no—
1042#440C2×D6111yescharacteristic, complemented
1043#440C2×D6111yescharacteristic, complemented
1044C4×Q16—611no—
1045C4×Q16—611no—
1046C4×SD16—611no—
1047C4×SD16—611no—
1048C4×SD16—611no—
1049C4×SD16—611no—
1050C4×SD16—611no—
1051C4×SD16—611no—
1052C4×SD16C2×D6111yescharacteristic, complemented
1053C4×SD16C2×D6111yescharacteristic, complemented
1054C4×D8—611no—
1055C4×D8—611no—
1056C4×D8—611no—
1057C4×D8—611no—
1058C4×D8—611no—
1059C4×D8—611no—
1060#433—611no—
1061#433—611no—
1062#433—611no—
1063#433C2×D6111yescharacteristic, complemented
1064#432—611no—
1065#432—611no—
1066#431—611no—
1067#431—611no—
1068#428—611no—
1069#428—611no—
1070C2×#107—611no—
1071C2×#106—611no—
1072#424—611no—
1073#424—611no—
1074#417—611no—
1075#417—611no—
1076#417—611no—
1077#417—611no—
1078#416—611no—
1079#416—611no—
1080C2×#102—611no—
1081C2×#102—611no—
1082#407—611no—
1083C2×C22⋊C8—611no—
1084#405—611no—
1085#405—611no—
1086C61#6058711yescharacteristic, complemented, Sylow
1087C2×#41—611no—
1088C2×#41—611no—
1089C2×#41—611no—
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—1221no—
1093C2×#41—1221no—
1094C2×#41—1221no—
1095C2×#41—1221no—
1096C2×#41—1224no—
1097C2×#41—1224no—
1098C22×Q8C22×D6111yescharacteristic
1099C22×D4—611no—
1100C22×D4—611no—
1101C22×D4—1221no—
1102C22×D4—1221no—
1103C23×C4—611no—
1104C23×C4—1221no—
1105AGL(1,ℤ/8)—1224no—
1106AGL(1,ℤ/8)—1224no—
1107#135—1224no—
1108#135—1224no—
1109C2×Q16—611no—
1110C2×Q16—611no—
1111C2×SD16—611no—
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16C22×D6111yescharacteristic
1116C2×SD16C22×D6111yescharacteristic
1117C2×SD16C22×D6111yescharacteristic
1118C2×SD16C22×D6111yescharacteristic
1119C2×D8—611no—
1120C2×D8—611no—
1121C2×D8—611no—
1122C2×D8—611no—
1123C2×D8—611no—
1124C2×D8—611no—
1125C2×M16—611no—
1126C2×M16—611no—
1127C22×C8—611no—
1128C22×C8—611no—
1129C4⋊Q8—611no—
1130C4⋊Q8—611no—
1131C4⋊Q8—1221no—
1132#127—611no—
1133#127C22×D6111yescharacteristic
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#125—611no—
1139#125—1221no—
1140#125C22×D6111yescharacteristic
1141#124—611no—
1142#124—611no—
1143#124—1221no—
1144#124—1221no—
1145#124—1221no—
1146#124—1221no—
1147#123—21no—
1148#123—21no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153#123—1221no—
1154#123—1221no—
1155#123—1221no—
1156C22⋊Q8—611no—
1157C22⋊Q8—611no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162#121—21no—
1163#121—21no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121C22×D6111yescharacteristic
1177#121C22×D6111yescharacteristic
1178#120—1221no—
1179#120—1221no—
1180#120—1221no—
1181C4×Q8—21no—
1182C4×Q8—21no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8C22×D6111yescharacteristic
1192C4×Q8C22×D6111yescharacteristic
1193C4×Q8C22×D6111yescharacteristic
1194C4×Q8C22×D6111yescharacteristic
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4C22×D6111yescharacteristic
1238C4×D4C22×D6111yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—611no—
1242#117—611no—
1243#117—611no—
1244#117—611no—
1245#117—611no—
1246#117—611no—
1247#117—611no—
1248#117—611no—
1249#117—611no—
1250#117—611no—
1251#117—611no—
1252#117—1221no—
1253#117—1221no—
1254#117—1221no—
1255#117—1221no—
1256#117—1221no—
1257#117—1221no—
1258#117—1221no—
1259#117—1221no—
1260#117—1221no—
1261#117—1221no—
1262#117—1221no—
1263#117—1221no—
1264#117—1221no—
1265#117—1221no—
1266#117—1221no—
1267#117C22×D6111yescharacteristic
1268#117C22×D6111yescharacteristic
1269C2×C4⋊C4—611no—
1270C2×C4⋊C4—611no—
1271C2×C4⋊C4—611no—
1272C2×C4⋊C4—611no—
1273C2×C4⋊C4—611no—
1274C2×C4⋊C4—1221no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4—1221no—
1277C2×C4⋊C4—1221no—
1278C2×C4⋊C4—1221no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—1221no—
1282C2×C22⋊C4—1221no—
1283C2×C22⋊C4—1221no—
1284C2×C22⋊C4—1221no—
1285C2×C22⋊C4—1221no—
1286C2×C22⋊C4—1221no—
1287C2×C22⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C42—611no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292C2×C42—1221no—
1293C2×C42—1221no—
1294C2×C42—1221no—
1295C2×C42—1221no—
1296#107—611no—
1297#107—611no—
1298#107—611no—
1299#107—611no—
1300#107—611no—
1301#107—611no—
1302#107C22×D6111yescharacteristic
1303#107C22×D6111yescharacteristic
1304#106—611no—
1305#106—611no—
1306#106—611no—
1307#106—611no—
1308#106—611no—
1309#106—611no—
1310#106C22×D6111yescharacteristic
1311#106C22×D6111yescharacteristic
1312C4⋊C8—611no—
1313C4⋊C8—611no—
1314C4⋊C8—611no—
1315C4⋊C8—611no—
1316C4⋊C8—611no—
1317C4⋊C8—611no—
1318C4⋊C8C22×D6111yescharacteristic
1319C4⋊C8C22×D6111yescharacteristic
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103—611no—
1326#103—611no—
1327#103—611no—
1328#103C22×D6111yescharacteristic
1329#103C22×D6111yescharacteristic
1330#103C22×D6111yescharacteristic
1331#103C22×D6111yescharacteristic
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102—611no—
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102C22×D6111yescharacteristic
1349#102C22×D6111yescharacteristic
1350#102C22×D6111yescharacteristic
1351#102C22×D6111yescharacteristic
1352C22⋊C8—611no—
1353C22⋊C8—611no—
1354C22⋊C8—611no—
1355C22⋊C8—611no—
1356C22⋊C8—611no—
1357C22⋊C8—611no—
1358C22⋊C8C22×D6111yescharacteristic
1359C22⋊C8C22×D6111yescharacteristic
1360#97—611no—
1361#97—611no—
1362#97—611no—
1363#97C22×D6111yescharacteristic
1364C4×C8—611no—
1365C4×C8—611no—
1366C4×C8—611no—
1367C4×C8C22×D6111yescharacteristic
1368C24—611no—
1369C24—1221no—
1370C24—1221no—
1371#41—614no—
1372#41—614no—
1373#41—1222no—
1374#41—1222no—
1375#41—1222no—
1376#41—1222no—
1377#41—1222no—
1378#41—1222no—
1379#41—1228no—
1380#41—1228no—
1381#41—1222no—
1382#41—1222no—
1383#41—4882no—
1384#41—4882no—
1385C2×Q8—22no—
1386C2×Q8—22no—
1387C2×Q8—21no—
1388C2×Q8—611no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8C23×D6111yescharacteristic
1392C2×Q8C23×D6111yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—611no—
1398C2×D4—611no—
1399C2×D4—611no—
1400C2×D4—1222no—
1401C2×D4—1222no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4—1221no—
1406C2×D4—1228no—
1407C2×D4—1221no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—4882no—
1419C2×D4C23×D6111yescharacteristic
1420C2×D4C23×D6111yescharacteristic
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—611no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—611no—
1428C22×C4—611no—
1429C22×C4—611no—
1430C22×C4—611no—
1431C22×C4—611no—
1432C22×C4—611no—
1433C22×C4—1221no—
1434C22×C4—1221no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—1222no—
1438C22×C4—1222no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1228no—
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×C4C23×D6111yescharacteristic
1457Q16—1222no—
1458Q16—1222no—
1459SD16—22no—
1460SD16—22no—
1461SD16—22no—
1462SD16—22no—
1463SD16—1222no—
1464SD16—1222no—
1465SD16—1222no—
1466SD16—1222no—
1467D8—1222no—
1468D8—1222no—
1469D8—1222no—
1470D8—1222no—
1471D8—1222no—
1472D8—1222no—
1473M16—1222no—
1474M16—1222no—
1475C2×C8—611no—
1476C2×C8—611no—
1477C2×C8—611no—
1478C2×C8—611no—
1479C2×C8—1222no—
1480C2×C8—1222no—
1481C2×C8C23×D6111yescharacteristic
1482C2×C8C23×D6111yescharacteristic
1483C2×C8C23×D6111yescharacteristic
1484C2×C8C23×D6111yescharacteristic
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—611no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4D4×D6111yescharacteristic
1517C4⋊C4D4×D6111yescharacteristic
1518C4⋊C4C23×D6111yescharacteristic
1519C4⋊C4C23×D6111yescharacteristic
1520C4⋊C4C23×D6111yescharacteristic
1521C4⋊C4C23×D6111yescharacteristic
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—611no—
1528C22⋊C4—611no—
1529C22⋊C4—611no—
1530C22⋊C4—611no—
1531C22⋊C4—611no—
1532C22⋊C4—611no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4D4×D6111yescharacteristic
1560C22⋊C4D4×D6111yescharacteristic
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—611no—
1567C42—611no—
1568C42—611no—
1569C42—611no—
1570C42—611no—
1571C42—611no—
1572C42—1221no—
1573C42—1221no—
1574C42—1221no—
1575C42—1221no—
1576C42—1221no—
1577C42—1221no—
1578C42—1221no—
1579C42—1221no—
1580C42—1221no—
1581C42—1221no—
1582C42C23×D6111yescharacteristic
1583C42C23×D6111yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—611no—
1587C23—611no—
1588C23—1222no—
1589C23—1224no—
1590C23—1221no—
1591C23—1221no—
1592C23—1221no—
1593C23—4881no—
1594C23—4881no—
1595C23—4881no—
1596C23—4881no—
1597C23—2441no—
1598C23—2441no—
1599C23—2442no—
1600C23C2×D4×D6111yescharacteristic
1601Q8—24no—
1602Q8—21no—
1603Q8—21no—
1604Q8—1221no—
1605Q8—1221no—
1606Q8—4881no—
1607Q8—4881no—
1608Q8#41×D6112yes—
1609Q8#41×D6112yes—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—612no—
1619D4—612no—
1620D4—1224no—
1621D4—1224no—
1622D4—1224no—
1623D4—1224no—
1624D4—1224no—
1625D4—1221no—
1626D4—1221no—
1627D4—1221no—
1628D4—1221no—
1629D4—4881no—
1630D4—4881no—
1631D4—4881no—
1632D4—2442no—
1633D4—2442no—
1634D4—2442no—
1635D4—2442no—
1636D4—2442no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—611no—
1649C2×C4—612no—
1650C2×C4—612no—
1651C2×C4—611no—
1652C2×C4—611no—
1653C2×C4—611no—
1654C2×C4—611no—
1655C2×C4—611no—
1656C2×C4—1222no—
1657C2×C4—1224no—
1658C2×C4—1224no—
1659C2×C4—1222no—
1660C2×C4—1224no—
1661C2×C4—1224no—
1662C2×C4—1222no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—4881no—
1671C2×C4—4881no—
1672C2×C4—4881no—
1673C2×C4—4881no—
1674C2×C4—4881no—
1675C2×C4—4881no—
1676C2×C4—4881no—
1677C2×C4—4881no—
1678C2×C4—4881no—
1679C2×C4—4881no—
1680C2×C4—4881no—
1681C2×C4—4881no—
1682C2×C4—4881no—
1683C2×C4—4881no—
1684C2×C4—4881no—
1685C2×C4—2441no—
1686C2×C4—2441no—
1687C2×C4—2441no—
1688C2×C4—2441no—
1689C2×C4—2442no—
1690C2×C4C2×D4×D6111yescharacteristic
1691C2×C4C2×D4×D6111yescharacteristic
1692C2×C4C2×D4×D6111yescharacteristic
1693C2×C4C2×D4×D6111yescharacteristic
1694C2×C4C2×D4×D6111yescharacteristic
1695C2×C4C24×D6111yescharacteristic
1696C8—21no—
1697C8—21no—
1698C8—21no—
1699C8—21no—
1700C8—1221no—
1701C8—1221no—
1702C8—1221no—
1703C8—1221no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—612no—
1714C22—1221no—
1715C22—1221no—
1716C22—1222no—
1717C22—1222no—
1718C22—1221no—
1719C22—1221no—
1720C22—1221no—
1721C22—9762no—
1722C22—4882no—
1723C22—4884no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22C22×D4×D6111yescharacteristic
1732C4—22no—
1733C4—22no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—612no—
1744C4—1221no—
1745C4—1221no—
1746C4—1221no—
1747C4—1221no—
1748C4—1221no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C4C2×#41×D6111yescharacteristic
1755C4C2×#41×D6111yescharacteristic
1756C2—41no—
1757C2—81no—
1758C2—81no—
1759C2—1222no—
1760C2—4881no—
1761C2—2441no—
1762C2—2442no—
1763C2—2442no—
1764C2#525×D6111yescharacteristic
1765C2#2146059111yescharacteristic
1766C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3126C2
socleC22×C61C23×D4
hypercenter#3126D61
hypocenterC61#60587
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3126

Complements

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

NH ≅ G/Ntype
1. #21459546C2semidirect
2. #21459021C2semidirect
3. #21456104C2semidirect
4. #21456058C2semidirect
5. #21456057C2semidirect
6. #21456048C2semidirect
7. #21456041C2semidirect
8. #21456005C2semidirect
9. #21455998C2semidirect
10. #21455969C2semidirect
11. #21455968C2semidirect
12. #21455935C2semidirect
13. #21455926C2semidirect
14. #21455878C2semidirect
15. #21455877C2semidirect
16. #21455844C2semidirect
17. #21455835C2semidirect
18. #21455747C2semidirect
19. #482×D61C2semidirect
20. #21455684C2semidirect
21. #21455673C2semidirect
22. #21455355C2semidirect
23. #21455355C2semidirect
24. #21455070C2semidirect
25. #21455036C2semidirect
26. #21454697C2semidirect
27. #21454691C2semidirect
28. #21454650C2semidirect
29. #21454646C2semidirect
30. #21454475C2semidirect
31. C61×#3126C2semidirect
45. #16840392C22semidirect
49. #16840325C22semidirect
50. #16840310C22semidirect
51. #16840309C22semidirect
52. #16840297C22semidirect
53. #16840294C22semidirect
62. #16840241C22semidirect
63. #16840240C22semidirect
66. #16840236C22semidirect
67. #16840236C22semidirect
68. #16840234C22semidirect
71. C4×#11758226C22semidirect
72. C4×#11758226C22semidirect
73. C4×#11758226C22semidirect
74. C4×#11758226C22semidirect
79. #16840106C22semidirect
80. #16840105C22semidirect
81. #16840104C22semidirect
82. #16840103C22semidirect
83. #16840089C22semidirect
84. #16840088C22semidirect
87. #16840085C22semidirect
88. #16840085C22semidirect
89. #16840084C22semidirect
90. #16840084C22semidirect
92. #16840083C22semidirect
93. #16840071C22semidirect
94. #16840067C22semidirect
95. #16840065C22semidirect
96. #16840061C22semidirect
97. #16840059C22semidirect
98. #16840059C22semidirect
99. #16840057C22semidirect
100. #16840055C22semidirect
101. #16840053C22semidirect
102. #16840051C22semidirect
103. #16840047C22semidirect
104. #16840045C22semidirect
105. #16840043C22semidirect
106. #16840041C22semidirect
107. #16839984C22semidirect
108. #16839984C22semidirect
109. #16839982C22semidirect
110. #16839982C22semidirect
111. #16839978C22semidirect
112. #16839978C22semidirect
113. #16839976C22semidirect
114. #16839976C22semidirect
115. #16839960C22semidirect
116. #16839960C22semidirect
117. #16839956C22semidirect
118. #16839956C22semidirect
119. #16839954C22semidirect
120. #16839954C22semidirect
121. #16839927C22semidirect
122. #16839927C22semidirect
123. #16839918C22semidirect
124. #16839915C22semidirect
129. #16839906C22semidirect
130. #16839906C22semidirect
134. #16839895C22semidirect
135. #16839875C22semidirect
136. #16839873C22semidirect
137. #16839872C22semidirect
138. #16839872C22semidirect
139. #16839871C22semidirect
140. #16839871C22semidirect
141. #16839867C22semidirect
142. #16839866C22semidirect
143. #16839865C22semidirect
144. #16839864C22semidirect
145. #16839863C22semidirect
146. #16839863C22semidirect
147. #16839861C22semidirect
148. #16839860C22semidirect
149. C4×#11758202C22semidirect
150. #16839854C22semidirect
151. C4×#11758190C22semidirect
152. SD16×Dic61C22semidirect
153. SD16×Dic61C22semidirect
154. C4×#11758201C22semidirect
155. #16839849C22semidirect
156. #16839847C22semidirect
157. C4×D488C22semidirect
158. #16839844C22semidirect
159. C4×#11758199C22semidirect
160. C4×#11758199C22semidirect
161. #16839842C22semidirect
162. #16839842C22semidirect
163. #16839823C22semidirect
164. #16839820C22semidirect
165. #16839820C22semidirect
166. #16839818C22semidirect
167. #16839817C22semidirect
168. #16839814C22semidirect
169. #16839813C22semidirect
170. #16839803C22semidirect
171. #16839801C22semidirect
172. #107×D61C22semidirect
173. #106×D61C22semidirect
174. #16839787C22semidirect
175. #16839787C22semidirect
178. #16839760C22semidirect
179. #16839760C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
186. #16839719C22semidirect
187. #16839716C22semidirect
189. C61×#519C22semidirect
191. C61×#482C22semidirect
192. C61×#479C22semidirect
193. C61×#479C22semidirect
194. C61×#460C22semidirect
195. C61×#460C22semidirect
197. C61×#448C22semidirect
198. C61×#440C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×SD16×C61C22semidirect
202. C61×#433C22semidirect
521. #11758226#41semidirect
522. #11758226#41semidirect
876. #3126D61semidirect
948. #519C2×D61semidirect
979. #482C2×D61semidirect
982. #479C2×D61semidirect
983. #479C2×D61semidirect
1006. #460C2×D61semidirect
1007. #460C2×D61semidirect
1024. #448C2×D61semidirect
1042. #440C2×D61semidirect
1043. #440C2×D61semidirect
1052. C4×SD16C2×D61semidirect
1053. C4×SD16C2×D61semidirect
1063. #433C2×D61semidirect
1086. C61#60587semidirect

Maximal subgroups

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

subgroupindex
#214595462
#214590212
#214561042
#214560582
#214560572
#214560482
#214560412
#214560052
#214559982
#214559692
#214559682
#214559352
#214559262
#214558782
#214558772
#214558442
#214558352
#214557472
#482×D612
#214556842
#214556732
#214553552
#214550702
#214550362
#214546972
#214546912
#214546502
#214546462
#214544752
C61×#31262
#6058761