Finite Group Databasebeta

← #30573468

Subgroups — #30573468

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460403C211yesmaximal, characteristic, complemented
2#21459832C211yesmaximal, characteristic, complemented
3#21458901C211yesmaximal, characteristic, complemented
4#21458880C211yesmaximal, characteristic, complemented
5#21458638C211yesmaximal, characteristic, complemented
6#21458556C211yesmaximal, characteristic, complemented
7#21458009C211yesmaximal, characteristic, complemented
8#21457968C211yesmaximal, characteristic, complemented
9#21457884C211yesmaximal, characteristic, complemented
10#21457848C211yesmaximal, characteristic, complemented
11#21457757C211yesmaximal, characteristic, complemented
12#21457729C211yesmaximal, characteristic, complemented
13#21457559C211yesmaximal, characteristic, complemented
14#21457530C211yesmaximal, characteristic, complemented
15#21457403C211yesmaximal, characteristic, complemented
16#21457387C211yesmaximal, characteristic, complemented
17#21457372C211yesmaximal, characteristic, complemented
18#21457333C211yesmaximal, characteristic, complemented
19#21457245C211yesmaximal, characteristic, complemented
20#21457226C211yesmaximal, characteristic, complemented
21#21457153C211yesmaximal, characteristic, complemented
22#21456925C211yesmaximal, characteristic, complemented
23#21456828C211yesmaximal, characteristic, complemented
24#21456120C211yesmaximal, characteristic, complemented
25#21456108C211yesmaximal, characteristic, complemented
26#21455925C211yesmaximal, characteristic, complemented
27#21455347C211yesmaximal, characteristic, complemented
28#21455336C211yesmaximal, characteristic, complemented
29#21455267C211yesmaximal, characteristic, complemented
30#21454953C211yesmaximal, characteristic, complemented
31C61×#3224C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519796C2211yescharacteristic
35C2×#14519796C2211yescharacteristic, complemented
36C2×Q16×D61C2211yescharacteristic, complemented
37C22×#11758200C2211yescharacteristic
38#16840507—21no—
39#16840501—21no—
40#16840498C2211yescharacteristic
41#16840492C2211yescharacteristic, complemented
42#16840486C2211yescharacteristic, complemented
43#16840483C2211yescharacteristic
44#16840481—21no—
45#16840481C2211yescharacteristic
46#16840481C2211yescharacteristic, complemented
47#16840479—21no—
48#16840479—21no—
49#16840476C2211yescharacteristic
50#16840474—21no—
51#16840455—21no—
52#16840443—21no—
53#16840432C2211yescharacteristic
54#16840425C2211yescharacteristic
55#16840420C2211yescharacteristic
56#16840420C2211yescharacteristic, complemented
57#16840419C2211yescharacteristic
58#16840418C2211yescharacteristic
59#16840411C2211yescharacteristic
60#16840406C2211yescharacteristic
61#16840406C2211yescharacteristic
62#16840382—21no—
63#16840380—21no—
64#16840377C2211yescharacteristic, complemented
65#16840374C2211yescharacteristic
66#16840366C2211yescharacteristic
67#16840362—21no—
68#16840357—21no—
69#16840347—21no—
70#16840347—21no—
71#16840332C2211yescharacteristic
72#16840316C2211yescharacteristic, complemented
73#16840314—21no—
74#16840310C2211yescharacteristic
75#16840291C2211yescharacteristic
76#16840290C2211yescharacteristic
77#16840289—21no—
78#16840239C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840153C2211yescharacteristic
82#16840153C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic, complemented
84#16840145C2211yescharacteristic
85#16840120C2211yescharacteristic
86#16840120C2211yescharacteristic
87#16840120C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic
90#16840104C2211yescharacteristic
91#16840101C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic
93#16840084C2211yescharacteristic
94#16840084C2211yescharacteristic, complemented
95#16840070C2211yescharacteristic, complemented
96#16840070C2211yescharacteristic, complemented
97#16840069C2211yescharacteristic, complemented
98#16840062C2211yescharacteristic, complemented
99#16840054C2211yescharacteristic, complemented
100#16840050C2211yescharacteristic
101#16840045C2211yescharacteristic, complemented
102#16840044C2211yescharacteristic, complemented
103#16840040C2211yescharacteristic
104#16840040C2211yescharacteristic, complemented
105#16840018C2211yescharacteristic
106#16840012C2211yescharacteristic, complemented
107#16840007C2211yescharacteristic
108#16840006C2211yescharacteristic
109#16840002C2211yescharacteristic, complemented
110#16840001C2211yescharacteristic
111#16840000C2211yescharacteristic, complemented
112#16839995C2211yescharacteristic
113#16839990C2211yescharacteristic
114#16839990C2211yescharacteristic, complemented
115#16839989C2211yescharacteristic
116#16839988C2211yescharacteristic
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic
119#16839983C2211yescharacteristic, complemented
120#16839982C2211yescharacteristic
121#16839981C2211yescharacteristic
122#16839981C2211yescharacteristic
123#16839981C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839981C2211yescharacteristic, complemented
126#16839981C2211yescharacteristic, complemented
127#16839975C2211yescharacteristic
128#16839975C2211yescharacteristic
129#16839975C2211yescharacteristic, complemented
130#16839975C2211yescharacteristic, complemented
131#16839973C2211yescharacteristic, complemented
132#16839973C2211yescharacteristic, complemented
133#16839972C2211yescharacteristic, complemented
134#16839971C2211yescharacteristic, complemented
135#16839970C2211yescharacteristic, complemented
136#16839970C2211yescharacteristic, complemented
137#16839967C2211yescharacteristic, complemented
138#16839965C2211yescharacteristic
139#16839959C2211yescharacteristic
140#16839959C2211yescharacteristic
141#16839959C2211yescharacteristic
142#16839959C2211yescharacteristic
143#16839925C2211yescharacteristic
144#16839925C2211yescharacteristic
145#16839925C2211yescharacteristic, complemented
146#16839921C2211yescharacteristic
147#16839921C2211yescharacteristic, complemented
148#16839921C2211yescharacteristic, complemented
149#16839920C2211yescharacteristic
150#16839920C2211yescharacteristic
151#16839919C2211yescharacteristic, complemented
152#16839904C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839899C2211yescharacteristic
155#16839899C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic, complemented
157#16839892C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839874C2211yescharacteristic
160#16839870C2211yescharacteristic, complemented
161#16839870C2211yescharacteristic, complemented
162#16839866C2211yescharacteristic, complemented
163#16839863C2211yescharacteristic
164#16839863C2211yescharacteristic, complemented
165#16839859C2211yescharacteristic
166#16839859C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168C4×Dic244C2211yescharacteristic, complemented
169#16839853C2211yescharacteristic
170SD16×Dic61C2211yescharacteristic, complemented
171#16839836C2211yescharacteristic
172#16839836C2211yescharacteristic
173#16839835C2211yescharacteristic, complemented
174#16839830C2211yescharacteristic
175C8×D244C2211yescharacteristic, complemented
176#16839825C2211yescharacteristic
177#16839822C2211yescharacteristic, complemented
178#16839818C2211yescharacteristic, complemented
179#16839789C2211yescharacteristic
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839767C2211yescharacteristic
184#16839758C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#535C2211yescharacteristic
190C61×#496C2211yescharacteristic
191C61×#495C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#486C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#460C2211yescharacteristic
197C61×#459C2211yescharacteristic
198C61×#452C2211yescharacteristic
199C61×#450C2211yescharacteristic
200C61×#449C2211yescharacteristic
201C61×#447C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210#14519807—42no—
211#14519806—42no—
212#14519796—42no—
213#14519796—42no—
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222Q16×D61—42no—
223C2×#11758200—42no—
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758194C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C22×#92418C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238#14519777C2311yescharacteristic
239#14519776—21no—
240#14519776—21no—
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519775—21no—
244#14519775—21no—
245#14519775C2311yescharacteristic
246#14519775C2311yescharacteristic
247#14519773—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772D411yescharacteristic
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770D411yescharacteristic
262#14519769C2311yescharacteristic
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519766—21no—
268#14519764—21no—
269#14519764—21no—
270#14519764—21no—
271#14519764C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763D411yescharacteristic
282#14519762D411yescharacteristic
283#14519760—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759D411yescharacteristic
289#14519758—21no—
290#14519758—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757C2311yescharacteristic
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519755—21no—
303#14519755—21no—
304#14519755D411yescharacteristic
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519754—21no—
313#14519753C2311yescharacteristic
314#14519753C2311yescharacteristic
315#14519750—21no—
316#14519750—21no—
317#14519750D411yescharacteristic
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519748—21no—
328#14519748—21no—
329#14519748—21no—
330#14519748C2311yescharacteristic
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519746—21no—
335#14519746—21no—
336Q8×Dic61—21no—
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339C4×Dic122—21no—
340C4×Dic122—21no—
341C4×Dic122C2311yescharacteristic
342C4×Dic122C2311yescharacteristic
343C4×Dic122C2311yescharacteristic
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348#14519742—21no—
349#14519742—21no—
350#14519742—21no—
351#14519742—21no—
352#14519742—21no—
353#14519742C2311yescharacteristic
354#14519742C2311yescharacteristic
355C4×D244C2311yescharacteristic
356D4×Dic61—21no—
357D4×Dic61—21no—
358D4×Dic61—21no—
359D4×Dic61—21no—
360D4×Dic61—21no—
361D4×Dic61C2311yescharacteristic
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364D4×Dic61C2311yescharacteristic
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61C2311yescharacteristic
368C4×C22⋊D61C2311yescharacteristic
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519736C2311yescharacteristic
375#14519735—21no—
376#14519735C2311yescharacteristic
377#14519735C2311yescharacteristic
378#14519734—21no—
379#14519734—21no—
380#14519734C2311yescharacteristic
381#14519733—21no—
382#14519733—21no—
383#14519733—21no—
384#14519733—21no—
385#14519733—21no—
386#14519733—21no—
387#14519733—21no—
388C2×#11758196—21no—
389C2×C22⋊Dic61—21no—
390C2×C22⋊Dic61—21no—
391C2×C4×Dic61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519702C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#127×C61C2311yescharacteristic
453#127×C61C2311yescharacteristic
454#126×C61—21no—
455#124×C61—21no—
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61—21no—
464#121×C61C2311yescharacteristic
465#120×C61—21no—
466#120×C61—21no—
467C4×Q8×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469#117×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—41no—
498C2×D4×C61—41no—
499C2×D4×C61C2411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61C2411yescharacteristic
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61C2×D411yescharacteristic
515C2×C22⋊D61C2×D411yescharacteristic
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525Q8×D61—22no—
526Q8×D61—41no—
527Q8×D61—41no—
528Q8×D61—41no—
529#11758224—22no—
530#11758224—41no—
531#11758224—41no—
532#11758224—41no—
533#11758224—41no—
534#11758224—41no—
535#11758224—41no—
536#11758224—41no—
537C2×D244C2×D411yescharacteristic
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2411yescharacteristic
543C2×C4×D61C2411yescharacteristic
544C2×Dic122—22no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—41no—
551C2×Dic122C2×D411yescharacteristic
552C2×Dic122C2411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557SD16×C61—41no—
558SD16×C61—41no—
559SD16×C61—41no—
560SD16×C61—41no—
561D8×C61—41no—
562D8×C61—41no—
563D8×C61—41no—
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C42×C61—21no—
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61C2×D411yescharacteristic
609C22⋊Dic61C2×D411yescharacteristic
610#11758202—22no—
611#11758202—41no—
612#11758202—41no—
613#11758202—41no—
614#11758200—22no—
615#11758200—22no—
616#11758200—22no—
617#11758200—41no—
618#11758200—41no—
619#11758200—41no—
620#11758200—41no—
621#11758200—41no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198C2×D411yescharacteristic
629#11758198C2×D411yescharacteristic
630#11758198C2×D411yescharacteristic
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61C2×D411yescharacteristic
641C4⋊Dic61C2×D411yescharacteristic
642C4⋊Dic61C2411yescharacteristic
643C4⋊Dic61C2411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
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#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—22no—
696Dic244—22no—
697Dic244—41no—
698Dic244—41no—
699#11758189—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—21no—
707C23×C61—81no—
708C23×C61—81no—
709C23×C61—81no—
710C23×C61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—81no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—81no—
740C2×C4×C61—81no—
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C2511yescharacteristic
747C22⋊D61—41no—
748C22⋊D61—41no—
749C22⋊D61—42no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—42no—
766C2×Dic61—42no—
767C2×Dic61—42no—
768C2×Dic61—81no—
769C2×Dic61—81no—
770C2×Dic61—81no—
771C2×Dic61—81no—
772C2×Dic61—81no—
773C2×Dic61—81no—
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780D244—41no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—21no—
784C4×D61—21no—
785C4×D61—41no—
786C4×D61—41no—
787C4×D61—42no—
788C4×D61—81no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—41no—
797Dic122—42no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—162no—
828C22×C61C23×D411yescharacteristic
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—21no—
834C2×D61—21no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61C2×H(5,𝔽2)11yescharacteristic
845C4×C61#58511yescharacteristic
846Dic61—21no—
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—22no—
851Dic61—21no—
852Dic61—21no—
853Dic61—41no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224D6111yescharacteristic, complemented
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—81no—
893C2×C61—81no—
894C2×C61—81no—
895C2×C61—81no—
896C2×C61#348811yescharacteristic
897C2×C61#358411yescharacteristic
898C2×C61#358611yescharacteristic
899D61—41no—
900D61—41no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—1221no—
933#542—1221no—
934#542C2×D6111yescharacteristic
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535C2×D6111yescharacteristic
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496C2×D6111yescharacteristic
956#495—611no—
957#495C2×D6111yescharacteristic
958#489—611no—
959#489—611no—
960#489—611no—
961#489C2×D6111yescharacteristic
962#487—611no—
963#486C2×D6111yescharacteristic
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464—611no—
1002#464C2×D6111yescharacteristic
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463C2×D6111yescharacteristic
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460C2×D6111yescharacteristic
1021#459C2×D6111yescharacteristic
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452C2×D6111yescharacteristic
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450C2×D6111yescharacteristic
1033#449—611no—
1034#449—611no—
1035#449C2×D6111yescharacteristic
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447C2×D6111yescharacteristic
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433C2×D6111yescharacteristic
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4C22×D6111yescharacteristic
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—611no—
1094C2×Q16—2442no—
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—2442no—
1105C2×SD16C22×D6111yescharacteristic
1106C2×SD16C22×D6111yescharacteristic
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8C22×D6111yescharacteristic
1110C2×D8C22×D6111yescharacteristic
1111C2×D8C22×D6111yescharacteristic
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8—611no—
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—1221no—
1129#127C22×D6111yescharacteristic
1130#127C22×D6111yescharacteristic
1131#126—21no—
1132#126—611no—
1133#126—611no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124C22×D6111yescharacteristic
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—611no—
1172#123—611no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—21no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121C22×D6111yescharacteristic
1228#120—21no—
1229#120—21no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—611no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8—1221no—
1250C4×Q8—1221no—
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4C22×D6111yescharacteristic
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—1221no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103—611no—
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8C22×D6111yescharacteristic
1354C24—21no—
1355#41—41no—
1356#41—41no—
1357#41—1222no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1222no—
1376C2×Q8—1221no—
1377C2×Q8—1222no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8—2441no—
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—611no—
1394C2×D4—611no—
1395C2×D4—611no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4C23×D6111yescharacteristic
1405C2×D4C23×D6111yescharacteristic
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4C23×D6111yescharacteristic
1426Q16—41no—
1427Q16—1222no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—41no—
1437SD16—41no—
1438SD16—41no—
1439SD16—1222no—
1440SD16—1222no—
1441SD16—1222no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—41no—
1448D8—41no—
1449D8—41no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—611no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—2441no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4D4×D6111yescharacteristic
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—611no—
1555C42—611no—
1556C42—611no—
1557C42—611no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—81no—
1578C23—81no—
1579C23—81no—
1580C23—611no—
1581C23—611no—
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—81no—
1588Q8—612no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—2441no—
1662C2×C4—2441no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—162no—
1697C22—1221no—
1698C22—1221no—
1699C22—1221no—
1700C22—1221no—
1701C22—1221no—
1702C22—1221no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—1221no—
1714C4—1221no—
1715C4—1222no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059711yescharacteristic
1729C2—41no—
1730C2—81no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948611yescharacteristic
1737C2#2146058711yescharacteristic
1738C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3224C2
socleC22×C61C23×D4
hypercenter#3224D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #21460403C2semidirect
2. #21459832C2semidirect
3. #21458901C2semidirect
4. #21458880C2semidirect
5. #21458638C2semidirect
6. #21458556C2semidirect
7. #21458009C2semidirect
8. #21457968C2semidirect
9. #21457884C2semidirect
10. #21457848C2semidirect
11. #21457757C2semidirect
12. #21457729C2semidirect
13. #21457559C2semidirect
14. #21457530C2semidirect
15. #21457403C2semidirect
16. #21457387C2semidirect
17. #21457372C2semidirect
18. #21457333C2semidirect
19. #21457245C2semidirect
20. #21457226C2semidirect
21. #21457153C2semidirect
22. #21456925C2semidirect
23. #21456828C2semidirect
24. #21456120C2semidirect
25. #21456108C2semidirect
26. #21455925C2semidirect
27. #21455347C2semidirect
28. #21455336C2semidirect
29. #21455267C2semidirect
30. #21454953C2semidirect
31. C61×#3224C2semidirect
35. C2×#14519796C22semidirect
36. C2×Q16×D61C22semidirect
41. #16840492C22semidirect
42. #16840486C22semidirect
46. #16840481C22semidirect
56. #16840420C22semidirect
64. #16840377C22semidirect
72. #16840316C22semidirect
79. #16840238C22semidirect
80. C4×#11758224C22semidirect
82. #16840153C22semidirect
83. #16840153C22semidirect
87. #16840120C22semidirect
88. #16840111C22semidirect
91. #16840101C22semidirect
94. #16840084C22semidirect
95. #16840070C22semidirect
96. #16840070C22semidirect
97. #16840069C22semidirect
98. #16840062C22semidirect
99. #16840054C22semidirect
101. #16840045C22semidirect
102. #16840044C22semidirect
104. #16840040C22semidirect
106. #16840012C22semidirect
109. #16840002C22semidirect
111. #16840000C22semidirect
114. #16839990C22semidirect
119. #16839983C22semidirect
125. #16839981C22semidirect
126. #16839981C22semidirect
129. #16839975C22semidirect
130. #16839975C22semidirect
131. #16839973C22semidirect
132. #16839973C22semidirect
133. #16839972C22semidirect
134. #16839971C22semidirect
135. #16839970C22semidirect
136. #16839970C22semidirect
137. #16839967C22semidirect
145. #16839925C22semidirect
147. #16839921C22semidirect
148. #16839921C22semidirect
151. #16839919C22semidirect
155. #16839899C22semidirect
156. #16839899C22semidirect
157. #16839892C22semidirect
158. #16839890C22semidirect
160. #16839870C22semidirect
161. #16839870C22semidirect
162. #16839866C22semidirect
164. #16839863C22semidirect
166. #16839859C22semidirect
167. C4×Dic244C22semidirect
168. C4×Dic244C22semidirect
170. SD16×Dic61C22semidirect
173. #16839835C22semidirect
175. C8×D244C22semidirect
177. #16839822C22semidirect
178. #16839818C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839769C22semidirect
187. #16839755C22semidirect
882. #3224D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604032
#214598322
#214589012
#214588802
#214586382
#214585562
#214580092
#214579682
#214578842
#214578482
#214577572
#214577292
#214575592
#214575302
#214574032
#214573872
#214573722
#214573332
#214572452
#214572262
#214571532
#214569252
#214568282
#214561202
#214561082
#214559252
#214553472
#214553362
#214552672
#214549532
C61×#32242
#6201361