Finite Group Databasebeta

← #30573764

Subgroups — #30573764

Order 15616.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460192C211yesmaximal, characteristic, complemented
2#21459921C211yesmaximal, characteristic, complemented
3#21458884C211yesmaximal, characteristic, complemented
4#21458856C211yesmaximal, characteristic, complemented
5#21458654C211yesmaximal, characteristic, complemented
6#21458549C211yesmaximal, characteristic, complemented
7#21457970C211yesmaximal, characteristic, complemented
8#21457962C211yesmaximal, characteristic, complemented
9#21457938C211yesmaximal, characteristic, complemented
10#21457795C211yesmaximal, characteristic, complemented
11#21457762C211yesmaximal, characteristic, complemented
12#21457660C211yesmaximal, characteristic, complemented
13#21457573C211yesmaximal, characteristic, complemented
14#21457519C211yesmaximal, characteristic, complemented
15#21457398C211yesmaximal, characteristic, complemented
16#21457362C211yesmaximal, characteristic, complemented
17#21457315C211yesmaximal, characteristic, complemented
18#21457281C211yesmaximal, characteristic, complemented
19#21457225C211yesmaximal, characteristic, complemented
20#21457142C211yesmaximal, characteristic, complemented
21#21456919C211yesmaximal, characteristic, complemented
22#21456867C211yesmaximal, characteristic, complemented
23#21456853C211yesmaximal, characteristic, complemented
24#21456089C211yesmaximal, characteristic, complemented
25#21456049C211yesmaximal, characteristic, complemented
26#21455968C211yesmaximal, characteristic, complemented
27#21455356C211yesmaximal, characteristic, complemented
28#21455342C211yesmaximal, characteristic, complemented
29#21455277C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3269C211yesmaximal, characteristic, complemented
32C2×#14519802C2211yescharacteristic
33C2×#14519800C2211yescharacteristic, complemented
34C2×#14519800C2211yescharacteristic, complemented
35C22×#11758201C2211yescharacteristic
36#16840502—21no—
37#16840502—21no—
38#16840494—21no—
39#16840494C2211yescharacteristic, complemented
40#16840488C2211yescharacteristic, complemented
41#16840486C2211yescharacteristic
42#16840476—21no—
43#16840476C2211yescharacteristic, complemented
44#16840460—21no—
45#16840458—21no—
46#16840458C2211yescharacteristic
47#16840454—21no—
48#16840454C2211yescharacteristic, complemented
49#16840433C2211yescharacteristic
50#16840431C2211yescharacteristic
51#16840431C2211yescharacteristic
52#16840431C2211yescharacteristic, complemented
53#16840423C2211yescharacteristic, complemented
54#16840409—21no—
55#16840403C2211yescharacteristic
56#16840403C2211yescharacteristic
57D4×D244C2211yescharacteristic
58#16840385—21no—
59#16840385C2211yescharacteristic
60#16840385C2211yescharacteristic
61#16840385C2211yescharacteristic, complemented
62#16840365—21no—
63#16840365C2211yescharacteristic, complemented
64#16840348—21no—
65#16840348—21no—
66#16840343—21no—
67#16840328—21no—
68#16840326C2211yescharacteristic
69#16840326C2211yescharacteristic
70#16840313C2211yescharacteristic
71#16840309C2211yescharacteristic
72#16840294—21no—
73#16840294C2211yescharacteristic
74#16840291—21no—
75#16840291C2211yescharacteristic, complemented
76#16840245C2211yescharacteristic, complemented
77#16840240C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic, complemented
79#16840152C2211yescharacteristic
80#16840148C2211yescharacteristic
81#16840148C2211yescharacteristic, complemented
82#16840147C2211yescharacteristic
83#16840137C2211yescharacteristic, complemented
84#16840130C2211yescharacteristic, complemented
85#16840127C2211yescharacteristic
86#16840125C2211yescharacteristic, complemented
87#16840123C2211yescharacteristic
88#16840118C2211yescharacteristic
89#16840107C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840090C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic
93#16840087C2211yescharacteristic
94#16840085C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic
96#16840067C2211yescharacteristic, complemented
97#16840065C2211yescharacteristic, complemented
98#16840063C2211yescharacteristic
99#16840062C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840050C2211yescharacteristic, complemented
103#16840045C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840041C2211yescharacteristic, complemented
106#16840015C2211yescharacteristic
107#16840010C2211yescharacteristic
108#16840010C2211yescharacteristic, complemented
109#16839998C2211yescharacteristic
110#16839997C2211yescharacteristic
111#16839996C2211yescharacteristic
112#16839995C2211yescharacteristic, complemented
113#16839994C2211yescharacteristic
114#16839993C2211yescharacteristic, complemented
115#16839988C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic
117#16839986C2211yescharacteristic
118#16839986C2211yescharacteristic
119#16839986C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic, complemented
121#16839986C2211yescharacteristic, complemented
122#16839986C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839980C2211yescharacteristic, complemented
125#16839980C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic, complemented
127#16839979C2211yescharacteristic
128#16839979C2211yescharacteristic, complemented
129#16839979C2211yescharacteristic, complemented
130#16839974C2211yescharacteristic
131#16839964C2211yescharacteristic, complemented
132#16839962C2211yescharacteristic
133#16839960C2211yescharacteristic
134#16839960C2211yescharacteristic
135#16839960C2211yescharacteristic, complemented
136#16839960C2211yescharacteristic, complemented
137#16839960C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic, complemented
139#16839958C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic, complemented
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic, complemented
144#16839923C2211yescharacteristic, complemented
145#16839923C2211yescharacteristic, complemented
146#16839912C2211yescharacteristic
147#16839910C2211yescharacteristic
148#16839907C2211yescharacteristic
149#16839907C2211yescharacteristic, complemented
150#16839907C2211yescharacteristic, complemented
151#16839906C2211yescharacteristic, complemented
152#16839906C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic, complemented
154#16839901C2211yescharacteristic
155#16839898C2211yescharacteristic
156#16839898C2211yescharacteristic
157#16839895C2211yescharacteristic
158#16839891C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839875C2211yescharacteristic
161#16839872C2211yescharacteristic, complemented
162#16839871C2211yescharacteristic, complemented
163#16839869C2211yescharacteristic, complemented
164#16839869C2211yescharacteristic, complemented
165#16839865C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic
167Q16×Dic61C2211yescharacteristic, complemented
168SD16×Dic61C2211yescharacteristic, complemented
169#16839847C2211yescharacteristic, complemented
170#16839847C2211yescharacteristic, complemented
171#16839836C2211yescharacteristic, complemented
172#16839834C2211yescharacteristic
173#16839831C2211yescharacteristic, complemented
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839825C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839820C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839790C2211yescharacteristic, complemented
180#16839788C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839763C2211yescharacteristic, complemented
184#16839758C2211yescharacteristic, complemented
185#16839757C2211yescharacteristic, complemented
186#16839757C2211yescharacteristic, complemented
187C2×#14519699C2211yescharacteristic
188C2×#137×C61C2211yescharacteristic, complemented
189C2×#135×C61C2211yescharacteristic, complemented
190C61×#548C2211yescharacteristic
191C61×#547C2211yescharacteristic
192C61×#497C2211yescharacteristic, complemented
193C61×#468C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#451C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222—21no—
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C2×D4×D61—21no—
211#14519802—42no—
212#14519800—42no—
213#14519800—42no—
214C2×#11758201—42no—
215C2×#11758201C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×D488C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×D488C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758194C2311yescharacteristic
231C22×#92418C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233C2×C8×D61C2311yescharacteristic
234#14519776—21no—
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519774C2311yescharacteristic
238#14519773—21no—
239#14519773—21no—
240#14519773—21no—
241#14519773C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519770—21no—
253#14519770D411yescharacteristic
254#14519770D411yescharacteristic
255#14519769—21no—
256#14519769C2311yescharacteristic
257#14519768—21no—
258#14519768—21no—
259#14519768D411yescharacteristic
260#14519768C2311yescharacteristic
261#14519766—21no—
262#14519766C2311yescharacteristic
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519766C2311yescharacteristic
266#14519766C2311yescharacteristic
267#14519764—21no—
268#14519764D411yescharacteristic
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519762—21no—
276#14519762—21no—
277#14519761—21no—
278#14519761—21no—
279#14519761—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759D411yescharacteristic
288#14519759D411yescharacteristic
289#14519757—21no—
290#14519757—21no—
291#14519757—21no—
292#14519757—21no—
293#14519757D411yescharacteristic
294#14519753—21no—
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752—21no—
298#14519752—21no—
299#14519752—21no—
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519751—21no—
303#14519751—21no—
304#14519751—21no—
305#14519751—21no—
306#14519751—21no—
307#14519751—21no—
308#14519751—21no—
309#14519751—21no—
310#14519751—21no—
311#14519751C2311yescharacteristic
312#14519751C2311yescharacteristic
313#14519751C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519748—21no—
322#14519748—21no—
323#14519748—21no—
324#14519748—21no—
325#14519748D411yescharacteristic
326#14519748C2311yescharacteristic
327#14519748C2311yescharacteristic
328#14519747—21no—
329#14519747—21no—
330#14519747—21no—
331#14519747—21no—
332#14519745—21no—
333#14519745—21no—
334#14519745—21no—
335#14519745—21no—
336Q8×Dic61—21no—
337Q8×Dic61—21no—
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345C4×Dic122—21no—
346C4×Dic122C2311yescharacteristic
347C4×D244—21no—
348C4×D244C2311yescharacteristic
349C4×D244C2311yescharacteristic
350D4×Dic61—21no—
351D4×Dic61—21no—
352D4×Dic61C2311yescharacteristic
353D4×Dic61C2311yescharacteristic
354#14519739—21no—
355#14519739—21no—
356#14519739—21no—
357#14519739C2311yescharacteristic
358#14519739C2311yescharacteristic
359#14519739C2311yescharacteristic
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61C2311yescharacteristic
366C4×C22⋊D61C2311yescharacteristic
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519736—21no—
371#14519736—21no—
372#14519736—21no—
373#14519736C2311yescharacteristic
374#14519736C2311yescharacteristic
375#14519736C2311yescharacteristic
376#14519735—21no—
377#14519735—21no—
378#14519735C2311yescharacteristic
379#14519733—21no—
380#14519733—21no—
381#14519733—21no—
382C2×C4⋊Dic61—21no—
383C2×C4⋊Dic61C2311yescharacteristic
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C42×D61—21no—
387C42×D61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443#137×C61—42no—
444#135×C61—42no—
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×Q16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456C4⋊Q8×C61C2311yescharacteristic
457#124×C61—21no—
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460#123×C61—21no—
461C22⋊Q8×C61—21no—
462C22⋊Q8×C61C2311yescharacteristic
463C22⋊Q8×C61C2311yescharacteristic
464C22⋊Q8×C61C2311yescharacteristic
465#121×C61—21no—
466#121×C61—21no—
467#121×C61C2311yescharacteristic
468C4×Q8×C61C2311yescharacteristic
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C2×C4⋊C4×C61—21no—
473#107×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486#41×C61—22no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491#41×C61—41no—
492C2×Q8×C61—21no—
493C2×Q8×C61—22no—
494C2×Q8×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61C2×D411yescharacteristic
528C2×C22⋊D61C2×D411yescharacteristic
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532#11758226—22no—
533#11758226—41no—
534#11758226—41no—
535#11758226—41no—
536#11758226—41no—
537#11758226—41no—
538D4×D61—82no—
539#11758222—82no—
540#11758222—82no—
541C2×D244—21no—
542C2×D244—21no—
543C2×D244—21no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244—21no—
549C2×D244—41no—
550C2×D244—41no—
551C2×D244—41no—
552C2×D244—41no—
553C2×D244C2411yescharacteristic
554C2×D244C2411yescharacteristic
555C2×D244C2411yescharacteristic
556C2×D244C2411yescharacteristic
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—21no—
564C2×C4×D61—21no—
565C2×C4×D61C2×D411yescharacteristic
566C2×C4×D61C2×D411yescharacteristic
567C2×C4×D61C2411yescharacteristic
568C2×Dic122—21no—
569C2×Dic122—21no—
570C2×Dic122C2×D411yescharacteristic
571Q16×C61—22no—
572Q16×C61—22no—
573Q16×C61—41no—
574Q16×C61—41no—
575SD16×C61—22no—
576SD16×C61—41no—
577SD16×C61—41no—
578SD16×C61—41no—
579D8×C61—41no—
580M16×C61—41no—
581C2×C8×C61—41no—
582C2×C8×C61C2411yescharacteristic
583C2×C8×C61C2411yescharacteristic
584C2×C8×C61C2411yescharacteristic
585C2×C8×C61C2411yescharacteristic
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61C2×D411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61C2×D411yescharacteristic
603C22⋊C4×C61C2×D411yescharacteristic
604C42×C61—21no—
605C42×C61C2411yescharacteristic
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61C2×D411yescharacteristic
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616C22⋊Dic61C2×D411yescharacteristic
617#11758201—22no—
618#11758201—22no—
619#11758201—22no—
620#11758201—41no—
621#11758201—41no—
622#11758201—41no—
623#11758201—41no—
624#11758201—41no—
625#11758199—41no—
626#11758199—41no—
627#11758199—41no—
628#11758199—41no—
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#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198C2×D411yescharacteristic
652#11758198C2×D411yescharacteristic
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61C2×D411yescharacteristic
663C4⋊Dic61C2×D411yescharacteristic
664C4⋊Dic61C2×D411yescharacteristic
665C4⋊Dic61C2×D411yescharacteristic
666C4⋊Dic61C2×D411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670C4⋊Dic61C2411yescharacteristic
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680#11758196C2×D411yescharacteristic
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C4×Dic61C2411yescharacteristic
695#11758194—41no—
696C2×#92418—41no—
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701D488—41no—
702D488—41no—
703D488—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61C22×D411yescharacteristic
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61C22×D411yescharacteristic
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—42no—
729Q8×C61H(5,𝔽2)12yes—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—41no—
735D4×C61—42no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—42no—
750C2×C4×C61—42no—
751C2×C4×C61—42no—
752C2×C4×C61—81no—
753C2×C4×C61—81no—
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C2511yescharacteristic
759C22⋊D61—41no—
760C22⋊D61—41no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—81no—
780C2×Dic61—81no—
781C2×Dic61—81no—
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789D244—21no—
790D244—21no—
791D244—21no—
792D244—21no—
793D244—21no—
794D244—21no—
795D244—21no—
796D244—21no—
797D244—42no—
798D244—42no—
799D244—81no—
800D244—81no—
801D244—81no—
802D244—81no—
803D244—81no—
804D244—81no—
805C4×D61—21no—
806C4×D61—21no—
807C4×D61—41no—
808C4×D61—41no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817Dic122—41no—
818Dic122—81no—
819Dic122—81no—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62026—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61C23×D411yescharacteristic
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C2×D61—162no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—22no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61C2×H(5,𝔽2)11yescharacteristic
870C4×C61#58511yescharacteristic
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—21no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882#3546—611no—
883#3524—611no—
884#3401—611no—
885#3399—611no—
886#3377—611no—
887#3368—611no—
888#3319—611no—
889#3318—611no—
890#3317—611no—
891#3307—611no—
892#3305—611no—
893#3296—611no—
894#3287—611no—
895#3282—611no—
896#3271—611no—
897#3269D6111yescharacteristic, complemented
898#3268—611no—
899#3265—611no—
900#3262—611no—
901#3257—611no—
902#3247—611no—
903#3224—611no—
904#3220—611no—
905#3219—611no—
906#3125—611no—
907#3121—611no—
908#3115—611no—
909#3045—611no—
910#3043—611no—
911#3035—611no—
912#2992—611no—
913C2×C61—41no—
914C2×C61—41no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61#348811yescharacteristic
918C2×C61#358411yescharacteristic
919C2×C61#358511yescharacteristic
920D61—41no—
921D61—81no—
922D61—81no—
923D61—81no—
924D61—81no—
925C2×#137C2×D6111yescharacteristic, complemented
926C2×AGL(1,ℤ/8)—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135C2×D6111yescharacteristic, complemented
930C22×SD16—611no—
931#560—1221no—
932#560—1221no—
933#559—611no—
934#559—1221no—
935#557—611no—
936#556—611no—
937#555—611no—
938#555—1221no—
939#553—611no—
940#553—1221no—
941#553—1221no—
942#552—611no—
943#552—1221no—
944#550—611no—
945#550—611no—
946#550—611no—
947#550—611no—
948#548—611no—
949#548C2×D6111yescharacteristic
950#547C2×D6111yescharacteristic
951#546—611no—
952#546—611no—
953#546—1221no—
954D42—611no—
955#542—611no—
956#542—611no—
957#542—611no—
958#542—1221no—
959#540—611no—
960#540—1221no—
961#538—1221no—
962#538—1221no—
963#537—1221no—
964#535—611no—
965#535—611no—
966#535—1221no—
967#532—611no—
968#532—611no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#529—1221no—
973#520—611no—
974#519—611no—
975C4×#41—611no—
976#497C2×D6111yescharacteristic, complemented
977#496—611no—
978#496—611no—
979#496—611no—
980#495—611no—
981#493—611no—
982#491—611no—
983#490—611no—
984#490—611no—
985#489—611no—
986#488—611no—
987#486—611no—
988#485—611no—
989#483—611no—
990#482—611no—
991#482—611no—
992#482—611no—
993#481—611no—
994#479—611no—
995#478—611no—
996#478—611no—
997#478—611no—
998#477—611no—
999#477—611no—
1000#476—611no—
1001#475—611no—
1002#474—611no—
1003#474—611no—
1004#469—611no—
1005#468—611no—
1006#468—611no—
1007#468C2×D6111yescharacteristic, complemented
1008#467C2×D6111yescharacteristic, complemented
1009#466—611no—
1010#466—611no—
1011#466—611no—
1012#466—611no—
1013#465—611no—
1014#465—611no—
1015#465—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464—611no—
1023#464—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463C2×D6111yescharacteristic, complemented
1032#462C2×D6111yescharacteristic, complemented
1033#461—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#460—611no—
1039#460—611no—
1040#460—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#459—611no—
1046#452—611no—
1047#452—611no—
1048#452C2×D6111yescharacteristic, complemented
1049#452C2×D6111yescharacteristic, complemented
1050#451C2×D6111yescharacteristic, complemented
1051#450—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#449C2×D6111yescharacteristic, complemented
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#447—611no—
1064#446—611no—
1065#446—611no—
1066#442—611no—
1067#442—611no—
1068#442—611no—
1069#441—611no—
1070#441—611no—
1071#440—611no—
1072#440—611no—
1073#440C2×D6111yescharacteristic, complemented
1074C4×Q16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081#435C2×D6111yescharacteristic
1082C8×D4—611no—
1083C8×D4—611no—
1084#433—611no—
1085#433—611no—
1086#432—611no—
1087#424—611no—
1088#424—611no—
1089C2×C4⋊C8—611no—
1090#418—611no—
1091#417—611no—
1092#416—611no—
1093#416—611no—
1094#416—611no—
1095C2×#102—611no—
1096C61#6202611yescharacteristic, complemented, Sylow
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—1221no—
1101C2×#41—1221no—
1102C2×#41C22×D6111yescharacteristic
1103C2×#41C22×D6111yescharacteristic
1104C2×#41C22×D6111yescharacteristic
1105C22×Q8C22×D6111yescharacteristic
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—1221no—
1109#137—42no—
1110AGL(1,ℤ/8)—2442no—
1111#135—42no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16C22×D6111yescharacteristic
1115C2×Q16C22×D6111yescharacteristic
1116C2×Q16C22×D6111yescharacteristic
1117C2×Q16C22×D6111yescharacteristic
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—2442no—
1127C2×SD16C22×D6111yescharacteristic
1128C2×SD16C22×D6111yescharacteristic
1129C2×SD16C22×D6111yescharacteristic
1130C2×SD16C22×D6111yescharacteristic
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8—611no—
1138C2×D8C22×D6111yescharacteristic
1139C2×M16—611no—
1140C2×M16C22×D6111yescharacteristic
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8C22×D6111yescharacteristic
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—1221no—
1148C4⋊Q8C22×D6111yescharacteristic
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—611no—
1153#127—611no—
1154#127—1221no—
1155#127—1221no—
1156#127—1221no—
1157#126—611no—
1158#126—611no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#126—1221no—
1167#125—611no—
1168#125—611no—
1169#125—611no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#124—21no—
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124C22×D6111yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—611no—
1192#123—611no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8C22×D6111yescharacteristic
1214C22⋊Q8C22×D6111yescharacteristic
1215C22⋊Q8C22×D6111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121C22×D6111yescharacteristic
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258#120—1221no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—1221no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—21no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4C22×D6111yescharacteristic
1296C4×D4C22×D6111yescharacteristic
1297#117—611no—
1298#117—611no—
1299#117—611no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117—1221no—
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—611no—
1311C2×C4⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C22⋊C4—1221no—
1314C2×C42—611no—
1315C2×C42—1221no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107C22×D6111yescharacteristic
1320#106—611no—
1321#106—611no—
1322#106—611no—
1323#106—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8—611no—
1333C4⋊C8C22×D6111yescharacteristic
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103C22×D6111yescharacteristic
1343#103C22×D6111yescharacteristic
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102C22×D6111yescharacteristic
1365#102C22×D6111yescharacteristic
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8C22×D6111yescharacteristic
1371C22⋊C8C22×D6111yescharacteristic
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97C22×D6111yescharacteristic
1376C4×C8—611no—
1377C4×C8—611no—
1378C24—1221no—
1379C24—1221no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—1222no—
1387#41—4882no—
1388#41—4882no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394C2×Q8—21no—
1395C2×Q8—22no—
1396C2×Q8—41no—
1397C2×Q8—611no—
1398C2×Q8—1221no—
1399C2×Q8—1221no—
1400C2×Q8C23×D6111yescharacteristic
1401C2×Q8C23×D6111yescharacteristic
1402C2×Q8C23×D6111yescharacteristic
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—4882no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4D4×D6111yescharacteristic
1442C2×D4C23×D6111yescharacteristic
1443C2×D4C23×D6111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465Q16—22no—
1466Q16—22no—
1467Q16—41no—
1468Q16—41no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—1222no—
1474SD16—1222no—
1475SD16—1222no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—2441no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489M16—41no—
1490M16—2441no—
1491C2×C8—41no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—2441no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4D4×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—611no—
1548C22⋊C4—611no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4D4×D6111yescharacteristic
1583C22⋊C4D4×D6111yescharacteristic
1584C42—21no—
1585C42—611no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—1221no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42—1221no—
1599C42C23×D6111yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—611no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—1221no—
1607C23—4881no—
1608C23—4881no—
1609C23—4881no—
1610C23—4881no—
1611C23—4881no—
1612C23—4881no—
1613C23C2×D4×D6111yescharacteristic
1614C23C2×D4×D6111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—42no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8#1451982212yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—2442no—
1665D4—2442no—
1666D4—2441no—
1667D4—2441no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—611no—
1684C2×C4—611no—
1685C2×C4—611no—
1686C2×C4—611no—
1687C2×C4—611no—
1688C2×C4—611no—
1689C2×C4—611no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—4881no—
1704C2×C4—4881no—
1705C2×C4—2441no—
1706C2×C4—2441no—
1707C2×C4—2442no—
1708C2×C4—2442no—
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—9762no—
1738C22—9762no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22C22×D4×D6111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—22no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—1221no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4C2×#1451982211yescharacteristic
1774C4#1684059711yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—4881no—
1780C2—4881no—
1781C2—4881no—
1782C2—4881no—
1783C2—2441no—
1784C2#2145947911yescharacteristic
1785C2#2146058911yescharacteristic
1786C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3269C2
socleC22×C61C23×D4
hypercenter#3269D61
hypocenterC61#62026
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #21460192C2semidirect
2. #21459921C2semidirect
3. #21458884C2semidirect
4. #21458856C2semidirect
5. #21458654C2semidirect
6. #21458549C2semidirect
7. #21457970C2semidirect
8. #21457962C2semidirect
9. #21457938C2semidirect
10. #21457795C2semidirect
11. #21457762C2semidirect
12. #21457660C2semidirect
13. #21457573C2semidirect
14. #21457519C2semidirect
15. #21457398C2semidirect
16. #21457362C2semidirect
17. #21457315C2semidirect
18. #21457281C2semidirect
19. #21457225C2semidirect
20. #21457142C2semidirect
21. #21456919C2semidirect
22. #21456867C2semidirect
23. #21456853C2semidirect
24. #21456089C2semidirect
25. #21456049C2semidirect
26. #21455968C2semidirect
27. #21455356C2semidirect
28. #21455342C2semidirect
29. #21455277C2semidirect
30. #21454954C2semidirect
31. C61×#3269C2semidirect
33. C2×#14519800C22semidirect
34. C2×#14519800C22semidirect
39. #16840494C22semidirect
40. #16840488C22semidirect
43. #16840476C22semidirect
48. #16840454C22semidirect
52. #16840431C22semidirect
53. #16840423C22semidirect
61. #16840385C22semidirect
63. #16840365C22semidirect
75. #16840291C22semidirect
76. #16840245C22semidirect
77. #16840240C22semidirect
78. C4×#11758226C22semidirect
81. #16840148C22semidirect
83. #16840137C22semidirect
84. #16840130C22semidirect
86. #16840125C22semidirect
89. #16840107C22semidirect
90. #16840100C22semidirect
91. #16840090C22semidirect
94. #16840085C22semidirect
96. #16840067C22semidirect
97. #16840065C22semidirect
99. #16840062C22semidirect
100. #16840055C22semidirect
101. #16840055C22semidirect
102. #16840050C22semidirect
103. #16840045C22semidirect
104. #16840041C22semidirect
105. #16840041C22semidirect
108. #16840010C22semidirect
112. #16839995C22semidirect
114. #16839993C22semidirect
115. #16839988C22semidirect
119. #16839986C22semidirect
120. #16839986C22semidirect
121. #16839986C22semidirect
122. #16839986C22semidirect
123. #16839986C22semidirect
124. #16839980C22semidirect
125. #16839980C22semidirect
126. #16839980C22semidirect
128. #16839979C22semidirect
129. #16839979C22semidirect
131. #16839964C22semidirect
135. #16839960C22semidirect
136. #16839960C22semidirect
137. #16839960C22semidirect
138. #16839960C22semidirect
141. #16839956C22semidirect
143. #16839955C22semidirect
144. #16839923C22semidirect
145. #16839923C22semidirect
149. #16839907C22semidirect
150. #16839907C22semidirect
151. #16839906C22semidirect
152. #16839906C22semidirect
153. #16839906C22semidirect
158. #16839891C22semidirect
159. #16839890C22semidirect
161. #16839872C22semidirect
162. #16839871C22semidirect
163. #16839869C22semidirect
164. #16839869C22semidirect
165. #16839865C22semidirect
167. Q16×Dic61C22semidirect
168. SD16×Dic61C22semidirect
169. #16839847C22semidirect
170. #16839847C22semidirect
171. #16839836C22semidirect
173. #16839831C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839825C22semidirect
176. #16839820C22semidirect
177. #16839820C22semidirect
178. #16839817C22semidirect
179. #16839790C22semidirect
180. #16839788C22semidirect
181. C4⋊C8×D61C22semidirect
183. #16839763C22semidirect
184. #16839758C22semidirect
185. #16839757C22semidirect
186. #16839757C22semidirect
188. C2×#137×C61C22semidirect
189. C2×#135×C61C22semidirect
192. C61×#497C22semidirect
193. C61×#468C22semidirect
194. C61×#467C22semidirect
195. C61×#463C22semidirect
196. C61×#462C22semidirect
197. C61×#452C22semidirect
198. C61×#452C22semidirect
199. C61×#451C22semidirect
200. C61×#449C22semidirect
201. C61×#440C22semidirect
897. #3269D61semidirect
925. C2×#137C2×D61semidirect
929. C2×#135C2×D61semidirect
976. #497C2×D61semidirect
1007. #468C2×D61semidirect
1008. #467C2×D61semidirect
1031. #463C2×D61semidirect
1032. #462C2×D61semidirect
1048. #452C2×D61semidirect
1049. #452C2×D61semidirect
1050. #451C2×D61semidirect
1059. #449C2×D61semidirect
1073. #440C2×D61semidirect
1096. C61#62026semidirect

Maximal subgroups

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

subgroupindex
#214601922
#214599212
#214588842
#214588562
#214586542
#214585492
#214579702
#214579622
#214579382
#214577952
#214577622
#214576602
#214575732
#214575192
#214573982
#214573622
#214573152
#214572812
#214572252
#214571422
#214569192
#214568672
#214568532
#214560892
#214560492
#214559682
#214553562
#214553422
#214552772
#214549542
C61×#32692
#6202661