Finite Group Databasebeta

← #30575792

Subgroups — #30575792

Order 15616.

2030 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#21459721C211yesmaximal, characteristic, complemented
2#21459306C211yesmaximal, characteristic, complemented
3#21458715C211yesmaximal, characteristic, complemented
4#21458713C211yesmaximal, characteristic, complemented
5#21458529C211yesmaximal, characteristic, complemented
6#21458527C211yesmaximal, characteristic, complemented
7#21458410C211yesmaximal, characteristic, complemented
8#21458407C211yesmaximal, characteristic, complemented
9#21458293C211yesmaximal, characteristic, complemented
10#21458289C211yesmaximal, characteristic, complemented
11#21458285C211yesmaximal, characteristic, complemented
12#21458059C211yesmaximal, characteristic, complemented
13#21458056C211yesmaximal, characteristic, complemented
14#21457966C211yesmaximal, characteristic, complemented
15#21457962C211yesmaximal, characteristic, complemented
16#21457958C211yesmaximal, characteristic, complemented
17#21457954C211yesmaximal, characteristic, complemented
18#21457199C211yesmaximal, characteristic, complemented
19#21457196C211yesmaximal, characteristic, complemented
20#21457125C211yesmaximal, characteristic, complemented
21#21457018C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21456945C211yesmaximal, characteristic, complemented
24#21455908C211yesmaximal, characteristic, complemented
25#21455907C211yesmaximal, characteristic, complemented
26#21455816C211yesmaximal, characteristic, complemented
27#21455615C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29C2×#16840051C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D61—21no—
33#16840479—21no—
34#16840476C2211yescharacteristic, complemented
35#16840475C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic, complemented
37#16840468C2211yescharacteristic, complemented
38#16840464C2211yescharacteristic, complemented
39#16840460C2211yescharacteristic, complemented
40#16840458C2211yescharacteristic, complemented
41#16840433C2211yescharacteristic
42#16840427C2211yescharacteristic
43#16840422—21no—
44#16840421—21no—
45#16840418—21no—
46#16840413C2211yescharacteristic
47#16840413C2211yescharacteristic
48#16840410—21no—
49#16840404—21no—
50#16840404—21no—
51#16840400—21no—
52D4×D244C2211yescharacteristic
53#16840396C2211yescharacteristic
54#16840396C2211yescharacteristic
55#16840380—21no—
56#16840378—21no—
57#16840339—21no—
58#16840318C2211yescharacteristic, complemented
59#16840315C2211yescharacteristic, complemented
60#16840313C2211yescharacteristic
61#16840309C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64#16840307C2211yescharacteristic, complemented
65#16840307C2211yescharacteristic, complemented
66C2×#14519776C2211yescharacteristic, complemented
67#16840275—21no—
68#16840270—21no—
69#16840270—21no—
70#16840241—21no—
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C2×#14519739C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840159C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic, complemented
82#16840125C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840089C2211yescharacteristic, complemented
87#16840089C2211yescharacteristic, complemented
88#16840088C2211yescharacteristic, complemented
89#16840088C2211yescharacteristic, complemented
90#16840087C2211yescharacteristic, complemented
91#16840086C2211yescharacteristic, complemented
92#16840083C2211yescharacteristic, complemented
93#16840082C2211yescharacteristic, complemented
94#16840081C2211yescharacteristic, complemented
95#16840080C2211yescharacteristic, complemented
96#16840080C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic
101#16840065C2211yescharacteristic, complemented
102#16840063C2211yescharacteristic
103#16840062C2211yescharacteristic, complemented
104#16840061C2211yescharacteristic
105#16840061C2211yescharacteristic, complemented
106#16840059C2211yescharacteristic
107#16840051C2211yescharacteristic
108#16840051C2211yescharacteristic
109#16840051C2211yescharacteristic
110#16840051C2211yescharacteristic
111#16840051C2211yescharacteristic, complemented
112#16840051C2211yescharacteristic, complemented
113#16840051C2211yescharacteristic, complemented
114#16840051C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic, complemented
116#16840051C2211yescharacteristic, complemented
117#16840051C2211yescharacteristic, complemented
118#16840050C2211yescharacteristic, complemented
119#16840050C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic, complemented
121#16840049C2211yescharacteristic, complemented
122#16840041C2211yescharacteristic
123#16840041C2211yescharacteristic, complemented
124#16840041C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840016C2211yescharacteristic, complemented
129#16840016C2211yescharacteristic, complemented
130#16840015C2211yescharacteristic, complemented
131#16840014C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic, complemented
133#16840013C2211yescharacteristic, complemented
134#16840013C2211yescharacteristic, complemented
135#16839998C2211yescharacteristic, complemented
136#16839996C2211yescharacteristic, complemented
137#16839996C2211yescharacteristic, complemented
138#16839958C2211yescharacteristic, complemented
139#16839957C2211yescharacteristic, complemented
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic, complemented
142#16839956C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic, complemented
144#16839956C2211yescharacteristic, complemented
145#16839955C2211yescharacteristic, complemented
146#16839955C2211yescharacteristic, complemented
147#16839955C2211yescharacteristic, complemented
148#16839898C2211yescharacteristic
149#16839898C2211yescharacteristic
150#16839897C2211yescharacteristic
151#16839895C2211yescharacteristic
152#16839895C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839873C2211yescharacteristic, complemented
159#16839872C2211yescharacteristic
160#16839872C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic
162#16839871C2211yescharacteristic, complemented
163#16839844C2211yescharacteristic
164#16839844C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839802C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178C2×#14519708C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#553C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#481C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic, complemented
196C61×#476C2211yescharacteristic, complemented
197C61×#469C2211yescharacteristic, complemented
198C61×#466C2211yescharacteristic, complemented
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C2×#106×C61C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224D411yescharacteristic
213#41×D61—48no—
214C22×Dic122—21no—
215C2×Q8×D61—21no—
216C22×D244C2311yescharacteristic
217C22×D244C2311yescharacteristic
218C2×D4×D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61C2311yescharacteristic
222C22×C4×D61—21no—
223C22×C4×D61—21no—
224C22×C4×D61—21no—
225C2×D488C2311yescharacteristic
226C2×D488C2311yescharacteristic
227C2×D488C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758194C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C22×#92418C2311yescharacteristic
236#14519776—21no—
237#14519776—21no—
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519774C2311yescharacteristic
246#14519773C2311yescharacteristic
247#14519773C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519770—21no—
252#14519769C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519766—21no—
256#14519765—21no—
257#14519764—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519761—21no—
269#14519760—21no—
270#14519760—21no—
271#14519759—21no—
272#14519757—21no—
273#14519756—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519753—21no—
287#14519752—21no—
288#14519752—21no—
289#14519752C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519751—21no—
293#14519751—21no—
294#14519751C2311yescharacteristic
295#14519751C2311yescharacteristic
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519748C2311yescharacteristic
312#14519747—21no—
313#14519747—21no—
314#14519747—21no—
315#14519747—21no—
316#14519745—21no—
317#14519745—21no—
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122C2311yescharacteristic
321#14519742—21no—
322#14519742—21no—
323#14519742D411yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326D4×Dic61—21no—
327D4×Dic61D411yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739—21no—
332#14519739—21no—
333#14519739—21no—
334#14519739—21no—
335#14519739—21no—
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61C2311yescharacteristic
349C4×C22⋊D61C2311yescharacteristic
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737D411yescharacteristic
357#14519737D411yescharacteristic
358#14519736C2311yescharacteristic
359#14519735D411yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519734—21no—
363#14519733—21no—
364#14519733D411yescharacteristic
365#14519733D411yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C2×#11758196—21no—
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61C2311yescharacteristic
371C2×#11758198—21no—
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61C2311yescharacteristic
375C2×C4×Dic61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519699C2311yescharacteristic
402#14519699C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61—21no—
437C2×D8×C61C2311yescharacteristic
438C2×M16×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444#123×C61—21no—
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C23×D61—21no—
480C23×D61—21no—
481C23×D61—21no—
482#41×C61—44no—
483C2×Q8×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2×D411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
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—
509C2×C22⋊D61—21no—
510C2×C22⋊D61C2×D411yescharacteristic
511C2×C22⋊D61C2×D411yescharacteristic
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519C22×Dic61C2×D411yescharacteristic
520#11758226—44no—
521Q8×D61—44no—
522#11758224—24no—
523#11758224—44no—
524#11758224—44no—
525#11758224—44no—
526#11758224—82no—
527D4×D61—22no—
528D4×D61—41no—
529D4×D61—44no—
530D4×D61—44no—
531D4×D61—44no—
532#11758222—44no—
533#11758222—44no—
534#11758222—44no—
535#11758222—82no—
536C2×D244—22no—
537C2×D244—22no—
538C2×D244—21no—
539C2×D244—21no—
540C2×D244—21no—
541C2×D244—21no—
542C2×D244—21no—
543C2×D244—21no—
544C2×D244—21no—
545C2×D244—41no—
546C2×D244—41no—
547C2×D244C2411yescharacteristic
548C2×D244C2411yescharacteristic
549C2×D244C2411yescharacteristic
550C2×D244C2411yescharacteristic
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×D61—21no—
563C2×C4×D61—44no—
564C2×C4×D61—44no—
565C2×C4×D61—44no—
566C2×C4×D61C2×D411yescharacteristic
567C2×C4×D61C2×D411yescharacteristic
568C2×C4×D61C2411yescharacteristic
569C2×Dic122—21no—
570C2×Dic122—21no—
571C2×Dic122—21no—
572C2×Dic122—21no—
573C2×Dic122—21no—
574C2×Dic122—21no—
575C2×Dic122—21no—
576C2×Dic122—82no—
577C2×Dic122C2×D411yescharacteristic
578D8×C61—41no—
579M16×C61—41no—
580C2×C8×C61—41no—
581C2×C8×C61C2411yescharacteristic
582C2×C8×C61C2411yescharacteristic
583C2×C8×C61C2411yescharacteristic
584C2×C8×C61C2411yescharacteristic
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61C2×D411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C4⋊C4×C61C2411yescharacteristic
597C4⋊C4×C61C2411yescharacteristic
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61C2×D411yescharacteristic
606C22⋊C4×C61C2×D411yescharacteristic
607C42×C61—21no—
608C42×C61C2411yescharacteristic
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616#11758199—22no—
617#11758199—41no—
618#11758199—41no—
619#11758199—41no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
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#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61C2×D411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648C4⋊Dic61C2411yescharacteristic
649C4⋊Dic61C2411yescharacteristic
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196C2×D411yescharacteristic
663#11758196C2×D411yescharacteristic
664#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678#11758194—41no—
679C2×#92418—41no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684D488—22no—
685D488—41no—
686D488—41no—
687#11758189—41no—
688#11758189—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61C22×D411yescharacteristic
692C23×C61C22×D411yescharacteristic
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—21no—
697C22×D61—42no—
698C22×D61—42no—
699C22×D61—42no—
700C22×D61—42no—
701C22×D61—42no—
702C22×D61—42no—
703C22×D61—81no—
704C22×D61—81no—
705C22×D61—81no—
706C22×D61C22×D411yescharacteristic
707Q8×C61—42no—
708D4×C61—22no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—42no—
714D4×C61—42no—
715D4×C61—42no—
716D4×C61—81no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—42no—
728C2×C4×C61—42no—
729C2×C4×C61—42no—
730C2×C4×C61—81no—
731C2×C4×C61—81no—
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C2511yescharacteristic
737C22⋊D61—22no—
738C22⋊D61—22no—
739C22⋊D61—42no—
740C22⋊D61—42no—
741C22⋊D61—42no—
742C22⋊D61—42no—
743C22⋊D61—42no—
744C22⋊D61—42no—
745C22⋊D61—42no—
746C22⋊D61—42no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C2×Dic61—22no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—41no—
757C2×Dic61—41no—
758C2×Dic61—42no—
759C2×Dic61—42no—
760C2×Dic61—81no—
761C2×Dic61—81no—
762C2×Dic61AGL(1,ℤ/8)14yes—
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770D244—21no—
771D244—21no—
772D244—21no—
773D244—21no—
774D244—21no—
775D244—21no—
776D244—21no—
777D244—42no—
778D244—42no—
779D244—42no—
780D244—42no—
781D244—42no—
782D244—81no—
783D244—81no—
784D2442−1+412yes—
785C4×D61—21no—
786C4×D61—21no—
787C4×D61—22no—
788C4×D61—41no—
789C4×D61—42no—
790C4×D61—42no—
791C4×D61—42no—
792C4×D61—42no—
793C4×D61—42no—
794C4×D61—42no—
795C4×D61—42no—
796C4×D61—42no—
797C4×D61—42no—
798C4×D61—42no—
799C4×D61—81no—
800C4×D61—81no—
801Dic122—22no—
802Dic122—42no—
803Dic122—42no—
804Dic122—42no—
805Dic122—42no—
806Dic122—42no—
807Dic122—81no—
808Dic122—81no—
809C8×C61—21no—
810C8×C61—21no—
811C8×C61—21no—
812C8×C61—21no—
813#92418—21no—
814#92418—21no—
815#92418—21no—
816#92418—21no—
817#62110—611nomaximal, Sylow
818C22×C61—21no—
819C22×C61—21no—
820C22×C61—21no—
821C22×C61—21no—
822C22×C61—21no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61C2×AGL(1,ℤ/8)12yes—
830C22×C61C23×D411yescharacteristic
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—22no—
834C2×D61—21no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—84no—
847C2×D61—84no—
848C2×D61—84no—
849C4×C61—21no—
850C4×C61—21no—
851C4×C61—21no—
852C4×C61—21no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61C2×2−1+411yescharacteristic
860C4×C61#58511yescharacteristic
861Dic61—21no—
862Dic61—21no—
863Dic61—21no—
864Dic61—21no—
865Dic61—21no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61C2×AGL(1,ℤ/8)12yes—
871Dic61C2×AGL(1,ℤ/8)12yes—
872#3511—611no—
873D4×#41—611no—
874#3384—611no—
875#3384—611no—
876#3366—611no—
877#3366—611no—
878#3354—611no—
879#3354—611no—
880#3345—611no—
881#3345—611no—
882#3345—611no—
883#3345D6111yescharacteristic, complemented
884#3325—611no—
885#3325—611no—
886#3318—611no—
887#3318—611no—
888#3318—611no—
889#3318—611no—
890#3253—611no—
891#3253—611no—
892#3245—611no—
893#3235—611no—
894#3235—611no—
895#3227—611no—
896#3109—611no—
897#3109—611no—
898#3100—611no—
899#3077—611no—
900#3077—611no—
901C2×#476—611no—
902#2989—611no—
903C2×C61—22no—
904C2×C61—41no—
905C2×C61—81no—
906C2×C61—81no—
907C2×C61#348911yescharacteristic
908C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
909C2×C61#358511yescharacteristic
910D61—41no—
911D61—42no—
912D61—81no—
913D61—81no—
914D61—81no—
915C22×#41—1221no—
916#556—1221no—
917#555—611no—
918#555—611no—
919#554—611no—
920#554—611no—
921#553—611no—
922#553—611no—
923#553—611no—
924#553C2×D6111yescharacteristic, complemented
925#550—611no—
926D4×Q8—611no—
927#548—1221no—
928#548—1221no—
929#548—1221no—
930#547—611no—
931#547—611no—
932#547—1221no—
933#547C2×D6111yescharacteristic
934#546—1221no—
935#546—1221no—
936#546—1221no—
937D42—611no—
938D42—611no—
939D42—611no—
940#542—1221no—
941#542—1221no—
942#537—1221no—
943#533—611no—
944#533—611no—
945#532—611no—
946#532—611no—
947#532—611no—
948#532—611no—
949#532—611no—
950#532—611no—
951C2×C4⋊Q8—611no—
952#525—1221no—
953#525—1221no—
954#525—1221no—
955#520—1221no—
956C4×#41—611no—
957C2×C4×D4—611no—
958C2×C4×D4—611no—
959C2×C4×D4—611no—
960#501—611no—
961#501—611no—
962#501—611no—
963#501C2×D6111yescharacteristic, complemented
964#498—611no—
965#498—611no—
966#490—611no—
967#490—611no—
968#490—611no—
969#490—611no—
970#486—611no—
971#486—611no—
972#482—611no—
973#482—611no—
974#482—611no—
975#482—611no—
976#482—611no—
977#482—611no—
978#482—611no—
979#482C2×D6111yescharacteristic, complemented
980#481—611no—
981#481—611no—
982#481—611no—
983#481—611no—
984#481—611no—
985#481—611no—
986#481C2×D6111yescharacteristic, complemented
987#481C2×D6111yescharacteristic, complemented
988#480—611no—
989#480C2×D6111yescharacteristic, complemented
990#478—611no—
991#478—611no—
992#478—611no—
993#478—611no—
994#478—611no—
995#478—611no—
996#478—611no—
997#478C2×D6111yescharacteristic, complemented
998#476—611no—
999#476—611no—
1000#476—611no—
1001#476—611no—
1002#476—611no—
1003#476—611no—
1004#476—611no—
1005#476—611no—
1006#476—611no—
1007#476—611no—
1008#476—611no—
1009#476—611no—
1010#476—611no—
1011#476—611no—
1012#476—611no—
1013#476C2×D6111yescharacteristic, complemented
1014#474—611no—
1015#474—611no—
1016#474—611no—
1017#474—611no—
1018#474—611no—
1019#474—611no—
1020#469—611no—
1021#469—611no—
1022#469—611no—
1023#469—611no—
1024#469—611no—
1025#469—611no—
1026#469—611no—
1027#469C2×D6111yescharacteristic, complemented
1028#466—611no—
1029#466—611no—
1030#466—611no—
1031#466C2×D6111yescharacteristic, complemented
1032#459—611no—
1033#459—611no—
1034#459—611no—
1035#459—611no—
1036#459—611no—
1037#459—611no—
1038#459—611no—
1039#459—611no—
1040#459—611no—
1041#459—611no—
1042#447—611no—
1043#447—611no—
1044#447—611no—
1045#447—611no—
1046#447—611no—
1047#447—611no—
1048#446—611no—
1049#446—611no—
1050#442—611no—
1051#442—611no—
1052#442—611no—
1053#442—611no—
1054#442—611no—
1055#442—611no—
1056#442—611no—
1057#442C2×D6111yescharacteristic, complemented
1058C4×D8—611no—
1059C4×D8—611no—
1060C4×D8—611no—
1061C4×D8—611no—
1062#436—611no—
1063#436—611no—
1064#435—611no—
1065#435—611no—
1066#435—611no—
1067#435C2×D6111yescharacteristic, complemented
1068#432—611no—
1069#432—611no—
1070#431—611no—
1071#428—611no—
1072#428—611no—
1073#428—611no—
1074#428C2×D6111yescharacteristic, complemented
1075C2×#106—611no—
1076C2×#106C2×D6111yescharacteristic, complemented
1077#423—611no—
1078#423—611no—
1079C2×C4⋊C8—611no—
1080#418—611no—
1081#418—611no—
1082#418—611no—
1083#418—611no—
1084C2×#102—611no—
1085C2×#102—611no—
1086C61#6211011yescharacteristic, complemented, Sylow
1087C2×#41—21no—
1088C2×#41—611no—
1089C2×#41—1221no—
1090C2×#41—1221no—
1091C2×#41—1221no—
1092C2×#41—1221no—
1093C2×#41—1221no—
1094C2×#41—1221no—
1095C2×#41—1221no—
1096C2×#41—1221no—
1097C2×#41—1221no—
1098C2×#41—2448no—
1099C22×Q8—1221no—
1100C22×Q8—1221no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—1221no—
1105C22×D4—1221no—
1106C22×D4—1221no—
1107C23×C4—1221no—
1108C23×C4—1221no—
1109C23×C4—1221no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×D8—611no—
1113C2×D8—611no—
1114C2×D8—611no—
1115C2×D8—611no—
1116C2×D8—611no—
1117C2×D8C22×D6111yescharacteristic
1118C2×M16—611no—
1119C2×M16—611no—
1120C2×M16—611no—
1121C2×M16C22×D6111yescharacteristic
1122C22×C8—611no—
1123C22×C8C22×D6111yescharacteristic
1124C4⋊Q8—611no—
1125C4⋊Q8—611no—
1126C4⋊Q8—611no—
1127C4⋊Q8—611no—
1128C4⋊Q8—611no—
1129C4⋊Q8—611no—
1130C4⋊Q8—611no—
1131C4⋊Q8—1221no—
1132C4⋊Q8—1221no—
1133C4⋊Q8C22×D6111yescharacteristic
1134#127—611no—
1135#127—611no—
1136#127—611no—
1137#127—611no—
1138#126—21no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#125—611no—
1143#125—611no—
1144#125—611no—
1145#125C22×D6111yescharacteristic
1146#124—1221no—
1147#124—1221no—
1148#124—1221no—
1149#124—1221no—
1150#124—1221no—
1151#124—1221no—
1152#124—1221no—
1153#124—1221no—
1154#124—1221no—
1155#124—1221no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162#123—1221no—
1163#123—1221no—
1164#123—1221no—
1165#123—1221no—
1166C22⋊Q8—21no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8—1221no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8—1221no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8—1221no—
1176C22⋊Q8—1221no—
1177C22⋊Q8—1221no—
1178C22⋊Q8—1221no—
1179C22⋊Q8—1221no—
1180C22⋊Q8—1221no—
1181C22⋊Q8—1221no—
1182#121—21no—
1183#121—611no—
1184#121—611no—
1185#121—611no—
1186#121—611no—
1187#121—611no—
1188#121—611no—
1189#121—611no—
1190#121—611no—
1191#121—1221no—
1192#121—1221no—
1193#121—1221no—
1194#121—1221no—
1195#121—1221no—
1196#121—1221no—
1197#121—1221no—
1198#121—1221no—
1199#121—1221no—
1200#121—1221no—
1201#121—1221no—
1202#121—1221no—
1203#121—1221no—
1204#121—1221no—
1205#121—1221no—
1206#121—1221no—
1207#121—1221no—
1208#121C22×D6111yescharacteristic
1209#121C22×D6111yescharacteristic
1210#121C22×D6111yescharacteristic
1211#121C22×D6111yescharacteristic
1212#120—1221no—
1213#120—1221no—
1214#120—1221no—
1215#120—1221no—
1216#120—1221no—
1217#120—1221no—
1218C4×Q8—611no—
1219C4×Q8—611no—
1220C4×Q8—1221no—
1221C4×Q8—1221no—
1222C4×Q8—1221no—
1223C4×Q8—1221no—
1224C4×D4—21no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—611no—
1230C4×D4—611no—
1231C4×D4—611no—
1232C4×D4—611no—
1233C4×D4—611no—
1234C4×D4—611no—
1235C4×D4—611no—
1236C4×D4—611no—
1237C4×D4—611no—
1238C4×D4—611no—
1239C4×D4—611no—
1240C4×D4—611no—
1241C4×D4—611no—
1242C4×D4—611no—
1243C4×D4—611no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4—1221no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4C22×D6111yescharacteristic
1260C4×D4C22×D6111yescharacteristic
1261C4×D4C22×D6111yescharacteristic
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—611no—
1266#117—611no—
1267#117—611no—
1268#117—1221no—
1269#117—1221no—
1270#117C22×D6111yescharacteristic
1271C2×C4⋊C4—611no—
1272C2×C4⋊C4—611no—
1273C2×C4⋊C4—1221no—
1274C2×C4⋊C4—1221no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4C22×D6111yescharacteristic
1277C2×C4⋊C4C22×D6111yescharacteristic
1278C2×C4⋊C4C22×D6111yescharacteristic
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—611no—
1284C2×C42—611no—
1285#107—611no—
1286#107—611no—
1287#107—611no—
1288#107—611no—
1289#107—611no—
1290#107C22×D6111yescharacteristic
1291#107C22×D6111yescharacteristic
1292#107C22×D6111yescharacteristic
1293#106—611no—
1294#106—611no—
1295#106—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300#106—611no—
1301#106—611no—
1302#106—611no—
1303#106C22×D6111yescharacteristic
1304#106C22×D6111yescharacteristic
1305#106C22×D6111yescharacteristic
1306#106C22×D6111yescharacteristic
1307#106C22×D6111yescharacteristic
1308#106C22×D6111yescharacteristic
1309C4⋊C8—611no—
1310C4⋊C8—611no—
1311C4⋊C8—611no—
1312C4⋊C8—611no—
1313C4⋊C8—611no—
1314C4⋊C8—611no—
1315C4⋊C8—611no—
1316C4⋊C8—611no—
1317C4⋊C8—611no—
1318C4⋊C8C22×D6111yescharacteristic
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
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#102C22×D6111yescharacteristic
1346#102C22×D6111yescharacteristic
1347#102C22×D6111yescharacteristic
1348#102C22×D6111yescharacteristic
1349#102C22×D6111yescharacteristic
1350#102C22×D6111yescharacteristic
1351C22⋊C8—611no—
1352C22⋊C8—611no—
1353C22⋊C8—611no—
1354C22⋊C8—611no—
1355C22⋊C8C22×D6111yescharacteristic
1356C22⋊C8C22×D6111yescharacteristic
1357#97—611no—
1358#97—611no—
1359#97—611no—
1360#97C22×D6111yescharacteristic
1361C4×C8—611no—
1362C4×C8—611no—
1363C24—1221no—
1364C24—1221no—
1365C24—1221no—
1366#41—44no—
1367#41—1224no—
1368#41—4882no—
1369#41—4882no—
1370#41—2444no—
1371#41—2444no—
1372#41—2444no—
1373#41—2444no—
1374#41—2444no—
1375#41—2444no—
1376#41—2444no—
1377C2×Q8—21no—
1378C2×Q8—611no—
1379C2×Q8—1221no—
1380C2×Q8—1221no—
1381C2×Q8—1221no—
1382C2×Q8—1221no—
1383C2×Q8—1221no—
1384C2×Q8—1221no—
1385C2×Q8—1221no—
1386C2×Q8—4882no—
1387C2×Q8—2444no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—611no—
1393C2×D4—611no—
1394C2×D4—611no—
1395C2×D4—611no—
1396C2×D4—611no—
1397C2×D4—611no—
1398C2×D4—1222no—
1399C2×D4—1222no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4—1221no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1222no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—2441no—
1421C2×D4—2441no—
1422C2×D4—2441no—
1423C2×D4—2444no—
1424C2×D4—2444no—
1425C2×D4—2444no—
1426C2×D4D4×D6111yescharacteristic
1427C2×D4C23×D6111yescharacteristic
1428C2×D4C23×D6111yescharacteristic
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
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—2444no—
1458C22×C4—2444no—
1459C22×C4—2444no—
1460C22×C4C23×D6111yescharacteristic
1461C22×C4C23×D6111yescharacteristic
1462D8—41no—
1463D8—1222no—
1464D8—1222no—
1465D8—2441no—
1466D8—2441no—
1467D8—2441no—
1468D8—2441no—
1469D8—2441no—
1470M16—41no—
1471M16—2441no—
1472M16—2441no—
1473M16—2441no—
1474C2×C8—41no—
1475C2×C8—611no—
1476C2×C8—611no—
1477C2×C8—611no—
1478C2×C8—611no—
1479C2×C8—2441no—
1480C2×C8C23×D6111yescharacteristic
1481C2×C8C23×D6111yescharacteristic
1482C2×C8C23×D6111yescharacteristic
1483C2×C8C23×D6111yescharacteristic
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—611no—
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—1221no—
1500C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1515C4⋊C4C23×D6111yescharacteristic
1516C4⋊C4C23×D6111yescharacteristic
1517C4⋊C4C23×D6111yescharacteristic
1518C4⋊C4C23×D6111yescharacteristic
1519C4⋊C4C23×D6111yescharacteristic
1520C4⋊C4C23×D6111yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—611no—
1529C22⋊C4—611no—
1530C22⋊C4—611no—
1531C22⋊C4—611no—
1532C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1558C22⋊C4D4×D6111yescharacteristic
1559C42—21no—
1560C42—611no—
1561C42—611no—
1562C42—611no—
1563C42—611no—
1564C42—611no—
1565C42—611no—
1566C42—611no—
1567C42—611no—
1568C42—611no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—611no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—4881no—
1581C23—4881no—
1582C23—4881no—
1583C23—2442no—
1584C23—2442no—
1585C23—2442no—
1586C23—2442no—
1587C23—2442no—
1588C23—2442no—
1589C23C2×D4×D6111yescharacteristic
1590C23C2×D4×D6111yescharacteristic
1591Q8—42no—
1592Q8—1222no—
1593Q8—4881no—
1594Q8—4881no—
1595Q8—2442no—
1596Q8—2442no—
1597Q8—2442no—
1598Q8—2442no—
1599Q8—2442no—
1600D4—22no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—81no—
1609D4—612no—
1610D4—1222no—
1611D4—1222no—
1612D4—1221no—
1613D4—1221no—
1614D4—1221no—
1615D4—1221no—
1616D4—1221no—
1617D4—1221no—
1618D4—1221no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—2442no—
1626D4—2442no—
1627D4—2442no—
1628D4—2442no—
1629D4—2442no—
1630D4—2442no—
1631D4—2442no—
1632D4—2442no—
1633D4—2442no—
1634D4—2442no—
1635D4—2442no—
1636D4—2442no—
1637D4—2442no—
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—21no—
1647C2×C4—21no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—614no—
1654C2×C4—611no—
1655C2×C4—611no—
1656C2×C4—611no—
1657C2×C4—611no—
1658C2×C4—611no—
1659C2×C4—611no—
1660C2×C4—611no—
1661C2×C4—1222no—
1662C2×C4—1222no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—4881no—
1670C2×C4—4881no—
1671C2×C4—4881no—
1672C2×C4—4881no—
1673C2×C4—2441no—
1674C2×C4—2442no—
1675C2×C4—2442no—
1676C2×C4—2442no—
1677C2×C4—2442no—
1678C2×C4—2442no—
1679C2×C4—2442no—
1680C2×C4—2442no—
1681C2×C4—2442no—
1682C2×C4—2442no—
1683C2×C4—2442no—
1684C2×C4—2442no—
1685C2×C4—2442no—
1686C2×C4—2441no—
1687C2×C4—2441no—
1688C2×C4C2×D4×D6111yescharacteristic
1689C2×C4C2×D4×D6111yescharacteristic
1690C2×C4C2×D4×D6111yescharacteristic
1691C2×C4C2×D4×D6111yescharacteristic
1692C2×C4C24×D6111yescharacteristic
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C8—21no—
1697C8—1221no—
1698C8—1221no—
1699C8—1221no—
1700C8—1221no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—1221no—
1713C22—1222no—
1714C22—1221no—
1715C22—1221no—
1716C22—4884no—
1717C22—4884no—
1718C22—4884no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22AGL(1,ℤ/8)×D6112yes—
1731C22C22×D4×D6111yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—612no—
1743C4—612no—
1744C4—1221no—
1745C4—1221no—
1746C4—1221no—
1747C4—1221no—
1748C4—1221no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C42−1+4×D6111yescharacteristic
1754C4#1684059811yescharacteristic
1755C2—22no—
1756C2—41no—
1757C2—81no—
1758C2—81no—
1759C2—4881no—
1760C2—4881no—
1761C2—4881no—
1762C2—2441no—
1763C2—2442no—
1764C2#2145949311yescharacteristic
1765C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1766C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3345C2
socleC22×C61C23×D4
hypercenter#3345D61
hypocenterC61#62110
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459306C2semidirect
3. #21458715C2semidirect
4. #21458713C2semidirect
5. #21458529C2semidirect
6. #21458527C2semidirect
7. #21458410C2semidirect
8. #21458407C2semidirect
9. #21458293C2semidirect
10. #21458289C2semidirect
11. #21458285C2semidirect
12. #21458059C2semidirect
13. #21458056C2semidirect
14. #21457966C2semidirect
15. #21457962C2semidirect
16. #21457958C2semidirect
17. #21457954C2semidirect
18. #21457199C2semidirect
19. #21457196C2semidirect
20. #21457125C2semidirect
21. #21457018C2semidirect
22. #21457014C2semidirect
23. #21456945C2semidirect
24. #21455908C2semidirect
25. #21455907C2semidirect
26. #21455816C2semidirect
27. #21455615C2semidirect
28. #21455614C2semidirect
29. C2×#16840051C2semidirect
30. #21454931C2semidirect
31. C61×#3345C2semidirect
34. #16840476C22semidirect
35. #16840475C22semidirect
36. #16840471C22semidirect
37. #16840468C22semidirect
38. #16840464C22semidirect
39. #16840460C22semidirect
40. #16840458C22semidirect
58. #16840318C22semidirect
59. #16840315C22semidirect
61. #16840309C22semidirect
64. #16840307C22semidirect
65. #16840307C22semidirect
66. C2×#14519776C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840168C22semidirect
78. #16840159C22semidirect
79. #16840159C22semidirect
80. #16840128C22semidirect
81. #16840127C22semidirect
82. #16840125C22semidirect
83. #16840125C22semidirect
84. #16840107C22semidirect
85. #16840107C22semidirect
86. #16840089C22semidirect
87. #16840089C22semidirect
88. #16840088C22semidirect
89. #16840088C22semidirect
90. #16840087C22semidirect
91. #16840086C22semidirect
92. #16840083C22semidirect
93. #16840082C22semidirect
94. #16840081C22semidirect
95. #16840080C22semidirect
96. #16840080C22semidirect
97. #16840079C22semidirect
98. #16840078C22semidirect
99. #16840075C22semidirect
101. #16840065C22semidirect
103. #16840062C22semidirect
105. #16840061C22semidirect
111. #16840051C22semidirect
112. #16840051C22semidirect
113. #16840051C22semidirect
114. #16840051C22semidirect
115. #16840051C22semidirect
116. #16840051C22semidirect
117. #16840051C22semidirect
118. #16840050C22semidirect
119. #16840050C22semidirect
120. #16840050C22semidirect
121. #16840049C22semidirect
123. #16840041C22semidirect
124. #16840041C22semidirect
125. #16840041C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
128. #16840016C22semidirect
129. #16840016C22semidirect
130. #16840015C22semidirect
131. #16840014C22semidirect
132. #16840014C22semidirect
133. #16840013C22semidirect
134. #16840013C22semidirect
135. #16839998C22semidirect
136. #16839996C22semidirect
137. #16839996C22semidirect
138. #16839958C22semidirect
139. #16839957C22semidirect
141. #16839956C22semidirect
142. #16839956C22semidirect
143. #16839956C22semidirect
144. #16839956C22semidirect
145. #16839955C22semidirect
146. #16839955C22semidirect
147. #16839955C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839873C22semidirect
160. #16839872C22semidirect
162. #16839871C22semidirect
164. #16839844C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
169. #16839834C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839803C22semidirect
176. #16839802C22semidirect
177. #16839801C22semidirect
178. C2×#14519708C22semidirect
179. #16839785C22semidirect
180. #16839784C22semidirect
181. C2×#14519706C22semidirect
188. C61×#553C22semidirect
190. C61×#501C22semidirect
191. C61×#482C22semidirect
192. C61×#481C22semidirect
193. C61×#481C22semidirect
194. C61×#480C22semidirect
195. C61×#478C22semidirect
196. C61×#476C22semidirect
197. C61×#469C22semidirect
198. C61×#466C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C2×#106×C61C22semidirect
883. #3345D61semidirect
924. #553C2×D61semidirect
963. #501C2×D61semidirect
979. #482C2×D61semidirect
986. #481C2×D61semidirect
987. #481C2×D61semidirect
989. #480C2×D61semidirect
997. #478C2×D61semidirect
1013. #476C2×D61semidirect
1027. #469C2×D61semidirect
1031. #466C2×D61semidirect
1057. #442C2×D61semidirect
1067. #435C2×D61semidirect
1074. #428C2×D61semidirect
1076. C2×#106C2×D61semidirect
1086. C61#62110semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214593062
#214587152
#214587132
#214585292
#214585272
#214584102
#214584072
#214582932
#214582892
#214582852
#214580592
#214580562
#214579662
#214579622
#214579582
#214579542
#214571992
#214571962
#214571252
#214570182
#214570142
#214569452
#214559082
#214559072
#214558162
#214556152
#214556142
C2×#168400512
#214549312
C61×#33452
#6211061