Finite Group Databasebeta

← #30575489

Subgroups — #30575489

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460385C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458896C211yesmaximal, characteristic, complemented
4#21458893C211yesmaximal, characteristic, complemented
5#21458564C211yesmaximal, characteristic, complemented
6#21458562C211yesmaximal, characteristic, complemented
7#21458098C211yesmaximal, characteristic, complemented
8#21458006C211yesmaximal, characteristic, complemented
9#21458003C211yesmaximal, characteristic, complemented
10#21457858C211yesmaximal, characteristic, complemented
11#21457849C211yesmaximal, characteristic, complemented
12#21457455C211yesmaximal, characteristic, complemented
13#21457447C211yesmaximal, characteristic, complemented
14#21457396C211yesmaximal, characteristic, complemented
15#21457393C211yesmaximal, characteristic, complemented
16#21457392C211yesmaximal, characteristic, complemented
17#21457390C211yesmaximal, characteristic, complemented
18#21457288C211yesmaximal, characteristic, complemented
19#21457285C211yesmaximal, characteristic, complemented
20#21457209C211yesmaximal, characteristic, complemented
21#21456934C211yesmaximal, characteristic, complemented
22#21456931C211yesmaximal, characteristic, complemented
23#21456821C211yesmaximal, characteristic, complemented
24#21456054C211yesmaximal, characteristic, complemented
25#21456051C211yesmaximal, characteristic, complemented
26#21455976C211yesmaximal, characteristic, complemented
27#21455348C211yesmaximal, characteristic, complemented
28#21455344C211yesmaximal, characteristic, complemented
29#21455316C211yesmaximal, characteristic, complemented
30#21454983C211yesmaximal, characteristic, complemented
31C61×#3328C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519808C2211yescharacteristic
35C2×#14519805C2211yescharacteristic
36C22×#11758202C2211yescharacteristic, complemented
37C2×Q16×D61C2211yescharacteristic, complemented
38#16840511—21no—
39#16840508—21no—
40#16840492C2211yescharacteristic, complemented
41#16840486C2211yescharacteristic
42#16840484—21no—
43#16840484C2211yescharacteristic
44#16840484C2211yescharacteristic, complemented
45#16840480C2211yescharacteristic
46#16840479—21no—
47#16840479—21no—
48#16840475C2211yescharacteristic, complemented
49#16840474—21no—
50#16840441—21no—
51#16840439—21no—
52Q8×C22⋊D61C2211yescharacteristic
53#16840425C2211yescharacteristic, complemented
54#16840423C2211yescharacteristic
55#16840422C2211yescharacteristic
56#16840422C2211yescharacteristic
57#16840421C2211yescharacteristic
58#16840408C2211yescharacteristic
59#16840403C2211yescharacteristic
60#16840387—21no—
61#16840386—21no—
62#16840386C2211yescharacteristic, complemented
63#16840385C2211yescharacteristic
64#16840385C2211yescharacteristic, complemented
65#16840384C2211yescharacteristic
66#16840382—21no—
67#16840378—21no—
68#16840376—21no—
69#16840345—21no—
70#16840337C2211yescharacteristic
71#16840336C2211yescharacteristic
72#16840316—21no—
73#16840314C2211yescharacteristic
74#16840314C2211yescharacteristic
75#16840295—21no—
76#16840292C2211yescharacteristic
77C2×#14519766C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic
81#16840155C2211yescharacteristic
82#16840155C2211yescharacteristic
83#16840155C2211yescharacteristic, complemented
84#16840154C2211yescharacteristic, complemented
85#16840147C2211yescharacteristic
86#16840146C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840123C2211yescharacteristic
89#16840123C2211yescharacteristic
90#16840123C2211yescharacteristic
91#16840111C2211yescharacteristic, complemented
92#16840103C2211yescharacteristic
93#16840101C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840056C2211yescharacteristic, complemented
97#16840051C2211yescharacteristic
98#16840051C2211yescharacteristic, complemented
99#16840049C2211yescharacteristic
100#16840046C2211yescharacteristic, complemented
101#16840046C2211yescharacteristic, complemented
102#16840045C2211yescharacteristic, complemented
103#16840045C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840020C2211yescharacteristic
106#16840019C2211yescharacteristic, complemented
107#16840018C2211yescharacteristic
108#16840018C2211yescharacteristic
109#16840016C2211yescharacteristic
110#16840015C2211yescharacteristic
111#16839994C2211yescharacteristic, complemented
112#16839993C2211yescharacteristic
113#16839993C2211yescharacteristic, complemented
114#16839992C2211yescharacteristic
115#16839987C2211yescharacteristic
116#16839987C2211yescharacteristic
117#16839987C2211yescharacteristic
118#16839987C2211yescharacteristic
119#16839987C2211yescharacteristic
120#16839987C2211yescharacteristic
121#16839987C2211yescharacteristic
122#16839987C2211yescharacteristic
123#16839986C2211yescharacteristic
124#16839986C2211yescharacteristic
125#16839986C2211yescharacteristic, complemented
126#16839985C2211yescharacteristic
127#16839984C2211yescharacteristic
128#16839984C2211yescharacteristic, complemented
129#16839980C2211yescharacteristic
130#16839980C2211yescharacteristic
131#16839980C2211yescharacteristic
132#16839980C2211yescharacteristic
133#16839980C2211yescharacteristic
134#16839978C2211yescharacteristic
135#16839971C2211yescharacteristic, complemented
136#16839971C2211yescharacteristic, complemented
137#16839971C2211yescharacteristic, complemented
138#16839971C2211yescharacteristic, complemented
139#16839971C2211yescharacteristic, complemented
140#16839970C2211yescharacteristic, complemented
141#16839970C2211yescharacteristic, complemented
142#16839969C2211yescharacteristic, complemented
143#16839966C2211yescharacteristic, complemented
144#16839927C2211yescharacteristic
145#16839926C2211yescharacteristic
146#16839922C2211yescharacteristic
147#16839922C2211yescharacteristic
148#16839919C2211yescharacteristic, complemented
149#16839918C2211yescharacteristic
150#16839917C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic, complemented
152#16839915C2211yescharacteristic
153#16839912C2211yescharacteristic
154#16839910C2211yescharacteristic
155#16839909C2211yescharacteristic
156#16839903C2211yescharacteristic
157#16839902C2211yescharacteristic
158#16839902C2211yescharacteristic, complemented
159#16839901C2211yescharacteristic, complemented
160#16839892C2211yescharacteristic, complemented
161#16839891C2211yescharacteristic, complemented
162#16839868C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839865C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic
168#16839861C2211yescharacteristic, complemented
169#16839860C2211yescharacteristic
170#16839854C2211yescharacteristic, complemented
171C4×#11758190C2211yescharacteristic
172#16839849C2211yescharacteristic
173#16839838C2211yescharacteristic
174#16839836C2211yescharacteristic
175#16839834C2211yescharacteristic
176#16839831C2211yescharacteristic, complemented
177#16839830C2211yescharacteristic, complemented
178#16839821C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic
181#16839790C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839785C2211yescharacteristic
184#16839769C2211yescharacteristic, complemented
185#16839766C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#556C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic
190C61×#487C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic
192C61×#485C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic
195C61×#470C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#451C2211yescharacteristic
198C61×#451C2211yescharacteristic, complemented
199C4×Q16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic
201C61×#419C2211yescharacteristic
202C61×#419C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C22×D244C2311yescharacteristic
210#14519810—42no—
211#14519809—42no—
212#14519808—42no—
213#14519805—42no—
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×#11758202—42no—
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224Q16×D61—42no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×D488C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519776—21no—
242#14519776—21no—
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519775—21no—
247#14519775—21no—
248#14519775—21no—
249#14519775C2311yescharacteristic
250#14519775C2311yescharacteristic
251#14519775C2311yescharacteristic
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772D411yescharacteristic
260#14519771—21no—
261#14519771—21no—
262#14519771—21no—
263#14519771—21no—
264#14519770—21no—
265#14519770D411yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519767D411yescharacteristic
269#14519766—21no—
270#14519766—21no—
271#14519766—21no—
272#14519766—21no—
273#14519766C2311yescharacteristic
274#14519766C2311yescharacteristic
275#14519766C2311yescharacteristic
276#14519766C2311yescharacteristic
277#14519766C2311yescharacteristic
278#14519766C2311yescharacteristic
279#14519765—21no—
280#14519765—21no—
281#14519765C2311yescharacteristic
282#14519765C2311yescharacteristic
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519763D411yescharacteristic
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519762—21no—
296#14519762—21no—
297#14519761D411yescharacteristic
298#14519760—21no—
299#14519760—21no—
300#14519759—21no—
301#14519759—21no—
302#14519758D411yescharacteristic
303#14519757—21no—
304#14519757—21no—
305#14519757—21no—
306#14519757C2311yescharacteristic
307#14519756—21no—
308#14519756C2311yescharacteristic
309#14519756C2311yescharacteristic
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755—21no—
314#14519755—21no—
315#14519755—21no—
316#14519755—21no—
317#14519755—21no—
318#14519755—21no—
319#14519754—21no—
320#14519754—21no—
321#14519754—21no—
322#14519754D411yescharacteristic
323#14519753—21no—
324#14519753—21no—
325#14519753—21no—
326#14519753—21no—
327#14519753—21no—
328#14519753C2311yescharacteristic
329#14519752—21no—
330#14519752C2311yescharacteristic
331#14519752C2311yescharacteristic
332#14519751—21no—
333#14519751C2311yescharacteristic
334#14519751C2311yescharacteristic
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750—21no—
339#14519749—21no—
340#14519749D411yescharacteristic
341#14519747—21no—
342#14519745—21no—
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345Q8×Dic61C2311yescharacteristic
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742—21no—
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362C4×D244C2311yescharacteristic
363#14519739—21no—
364#14519739—21no—
365#14519739C2311yescharacteristic
366#14519739C2311yescharacteristic
367#14519739C2311yescharacteristic
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61C2311yescharacteristic
371C4×C22⋊D61C2311yescharacteristic
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519736C2311yescharacteristic
377#14519735—21no—
378#14519735—21no—
379#14519735C2311yescharacteristic
380#14519734—21no—
381#14519734—21no—
382#14519734—21no—
383#14519734—21no—
384#14519734—21no—
385#14519734C2311yescharacteristic
386#14519733—21no—
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390C2×#11758198—21no—
391C2×#11758198—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C2×M16×C61C2311yescharacteristic
448C4⋊Q8×C61—21no—
449C4⋊Q8×C61C2311yescharacteristic
450C4⋊Q8×C61C2311yescharacteristic
451#126×C61—21no—
452#126×C61—21no—
453#124×C61—21no—
454C22⋊Q8×C61—21no—
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C4×Q8×C61—21no—
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466#117×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61—41no—
489C2×Q8×C61—41no—
490C2×Q8×C61—41no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61C2×D411yescharacteristic
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61C2411yescharacteristic
500C22×C4×C61C2411yescharacteristic
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61C2×D411yescharacteristic
509C22×Dic61C2×D411yescharacteristic
510#11758226—41no—
511#11758226—41no—
512Q8×D61—22no—
513Q8×D61—41no—
514Q8×D61—41no—
515Q8×D61—41no—
516#11758222—22no—
517#11758222—41no—
518#11758222—41no—
519#11758222—41no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—41no—
525C2×D244—41no—
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
528C2×D244C2411yescharacteristic
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—22no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—41no—
547C2×Dic122C2×D411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552Q16×C61—41no—
553Q16×C61—41no—
554M16×C61—41no—
555M16×C61—41no—
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61C2×D411yescharacteristic
581C22⋊C4×C61C2×D411yescharacteristic
582C42×C61—21no—
583C42×C61—21no—
584C42×C61—21no—
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593#11758202—22no—
594#11758202—22no—
595#11758202—22no—
596#11758202—41no—
597#11758202—41no—
598#11758202—41no—
599#11758202—41no—
600#11758201—41no—
601#11758201—41no—
602#11758201—41no—
603#11758201—41no—
604#11758201—41no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
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#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61C2×D411yescharacteristic
641C4⋊Dic61C2×D411yescharacteristic
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645#11758196—21no—
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#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670C4×Dic61—21no—
671C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C4×Dic61C2411yescharacteristic
686#11758194—41no—
687C2×#92418—41no—
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692Dic244—22no—
693Dic244—41no—
694D488—41no—
695D488—41no—
696#11758190—22no—
697#11758190—22no—
698#11758190—41no—
699#11758190—41no—
700#11758190—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61C22×D411yescharacteristic
704C23×C61C22×D411yescharacteristic
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—42no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—81no—
721Q8×C61—81no—
722Q8×C61—81no—
723D4×C61—41no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—81no—
737C2×C4×C61—81no—
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C2511yescharacteristic
743C22⋊D61—41no—
744C22⋊D61—41no—
745C22⋊D61—42no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—41no—
755C2×Dic61—41no—
756C2×Dic61—42no—
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764D244—21no—
765D244—21no—
766D244—21no—
767D244—21no—
768D244—21no—
769D244—21no—
770D244—81no—
771D244—81no—
772D244—81no—
773D244—81no—
774C4×D61—21no—
775C4×D61—21no—
776C4×D61—42no—
777C4×D61—42no—
778C4×D61—42no—
779C4×D61—81no—
780C4×D61—81no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61—81no—
784C4×D61—81no—
785Dic122—21no—
786Dic122—21no—
787Dic122—21no—
788Dic122—21no—
789Dic122—21no—
790Dic122—41no—
791Dic122—42no—
792Dic122—42no—
793Dic122—81no—
794Dic122—81no—
795Dic122—81no—
796Dic122—81no—
797Dic122H(5,𝔽2)12yes—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801C8×C61—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#62091—611nomaximal, Sylow
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—21no—
811C22×C61—21no—
812C22×C61—21no—
813C22×C61C23×D411yescharacteristic
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—162no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61—41no—
839C4×C61C2×H(5,𝔽2)11yescharacteristic
840C4×C61#58511yescharacteristic
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—21no—
846Dic61—21no—
847Dic61—22no—
848Dic61—21no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853#3561—611no—
854#3518—611no—
855#3402—611no—
856#3402—611no—
857#3369—611no—
858#3369—611no—
859#3328—611no—
860#3328D6111yescharacteristic, complemented
861#3321—611no—
862#3321—611no—
863#3311—611no—
864#3311—611no—
865#3275—611no—
866#3275—611no—
867#3270—611no—
868#3270—611no—
869#3270—611no—
870#3270—611no—
871#3263—611no—
872#3263—611no—
873#3255—611no—
874#3225—611no—
875#3225—611no—
876#3215—611no—
877#3121—611no—
878#3121—611no—
879#3116—611no—
880#3044—611no—
881#3044—611no—
882#3040—611no—
883#2995—611no—
884C2×C61—41no—
885C2×C61—41no—
886C2×C61#348811yescharacteristic
887C2×C61#358611yescharacteristic
888C2×C61#358611yescharacteristic
889D61—41no—
890D61—81no—
891D61—81no—
892D61—81no—
893C2×#137—611no—
894C2×#137—611no—
895C2×#137—611no—
896C2×AGL(1,ℤ/8)—611no—
897C22×Q16—611no—
898C22×Q16—611no—
899#563—1221no—
900#562—1221no—
901Q82—611no—
902#556—611no—
903#556—611no—
904#556—611no—
905#556—611no—
906#556—1221no—
907#556—1221no—
908#556—1221no—
909#556C2×D6111yescharacteristic
910#555—611no—
911#555—1221no—
912#551—1221no—
913#551—1221no—
914D4×Q8—611no—
915D4×Q8—611no—
916D4×Q8C2×D6111yescharacteristic
917#548—611no—
918#548—611no—
919#548—611no—
920#548—611no—
921#546—611no—
922#546—611no—
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—611no—
927#542—611no—
928#542—1221no—
929#542—1221no—
930#542—1221no—
931#542—1221no—
932#538—1221no—
933#536—611no—
934#536—611no—
935#533—611no—
936#533—611no—
937#533—1221no—
938#529—611no—
939#529—1221no—
940C2×#124—611no—
941#519—611no—
942#519—611no—
943C4×#41—611no—
944#497—611no—
945#497—611no—
946#497—611no—
947#497—611no—
948#495—611no—
949#495—611no—
950#489—611no—
951#489—611no—
952#489—611no—
953#489—611no—
954#487—611no—
955#487C2×D6111yescharacteristic, complemented
956#485—611no—
957#485—611no—
958#485C2×D6111yescharacteristic
959#485C2×D6111yescharacteristic, complemented
960#482—611no—
961#482—611no—
962#477—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#475—611no—
971#475C2×D6111yescharacteristic, complemented
972#470—611no—
973#470—611no—
974#470—611no—
975#470—611no—
976#470C2×D6111yescharacteristic
977#470C2×D6111yescharacteristic, complemented
978#469—611no—
979#469—611no—
980#465—611no—
981#465—611no—
982#465—611no—
983#465—611no—
984#464—611no—
985#464—611no—
986#464—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#463—611no—
999#463—611no—
1000#463—611no—
1001#463—611no—
1002#463—611no—
1003#463—611no—
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462C2×D6111yescharacteristic, complemented
1013#461—611no—
1014#452—611no—
1015#452—611no—
1016#452—611no—
1017#452—611no—
1018#451—611no—
1019#451—611no—
1020#451—611no—
1021#451—611no—
1022#451C2×D6111yescharacteristic
1023#451C2×D6111yescharacteristic, complemented
1024#450—611no—
1025#450—611no—
1026#449—611no—
1027#449—611no—
1028#448—611no—
1029#448—611no—
1030#448—611no—
1031#448—611no—
1032#446—611no—
1033#446—611no—
1034#441—611no—
1035#441—611no—
1036#441—611no—
1037#441—611no—
1038#440—611no—
1039#440—611no—
1040#440—611no—
1041#440—611no—
1042C4×Q16—611no—
1043C4×Q16C2×D6111yescharacteristic, complemented
1044C4×SD16—611no—
1045C4×SD16—611no—
1046#436—611no—
1047#436C2×D6111yescharacteristic
1048#435—611no—
1049#435—611no—
1050#435—611no—
1051#435—611no—
1052#433—611no—
1053#433—611no—
1054#432—611no—
1055#424—611no—
1056#424—611no—
1057#423—611no—
1058#419—611no—
1059#419C2×D6111yescharacteristic
1060#419C2×D6111yescharacteristic, complemented
1061#418—611no—
1062#416—611no—
1063#416—611no—
1064C61#6209111yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C22×Q8—611no—
1069C22×Q8—611no—
1070C22×Q8—611no—
1071C22×Q8C22×D6111yescharacteristic
1072C22×Q8C22×D6111yescharacteristic
1073C22×D4—611no—
1074#137—2442no—
1075#137—2442no—
1076#137—2442no—
1077AGL(1,ℤ/8)—2442no—
1078C2×Q16—611no—
1079C2×Q16—611no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16—611no—
1087C2×Q16—2442no—
1088C2×Q16—2442no—
1089C2×Q16C22×D6111yescharacteristic
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×D8—611no—
1103C2×D8—611no—
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16C22×D6111yescharacteristic
1107C2×M16C22×D6111yescharacteristic
1108C22×C8—611no—
1109C22×C8—611no—
1110C4⋊Q8—21no—
1111C4⋊Q8—611no—
1112C4⋊Q8—611no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—611no—
1116C4⋊Q8—611no—
1117C4⋊Q8—1221no—
1118C4⋊Q8—1221no—
1119C4⋊Q8—1221no—
1120C4⋊Q8—1221no—
1121C4⋊Q8—1221no—
1122C4⋊Q8C22×D6111yescharacteristic
1123C4⋊Q8C22×D6111yescharacteristic
1124#126—21no—
1125#126—21no—
1126#126—611no—
1127#126—611no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#125—611no—
1141#125—1221no—
1142#125—1221no—
1143#124—21no—
1144#124—611no—
1145#124—611no—
1146#124—611no—
1147#124—611no—
1148#124—611no—
1149#124—611no—
1150#124—611no—
1151#124—611no—
1152#124—611no—
1153#124—1221no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
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#123—611no—
1167#123—611no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—611no—
1181C22⋊Q8—611no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—611no—
1185C22⋊Q8—1221no—
1186C22⋊Q8—1221no—
1187C22⋊Q8—1221no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
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⋊Q8—1221no—
1206C22⋊Q8C22×D6111yescharacteristic
1207C22⋊Q8C22×D6111yescharacteristic
1208C22⋊Q8C22×D6111yescharacteristic
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#120—1221no—
1223#120—1221no—
1224C4×Q8—21no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—611no—
1229C4×Q8—611no—
1230C4×Q8—611no—
1231C4×Q8—611no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—1221no—
1237C4×Q8—1221no—
1238C4×Q8—1221no—
1239C4×Q8—1221no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8C22×D6111yescharacteristic
1245C4×Q8C22×D6111yescharacteristic
1246C4×D4—21no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—611no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4C22×D6111yescharacteristic
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—1221no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117—1221no—
1272#117—1221no—
1273#117—1221no—
1274#117—1221no—
1275#117—1221no—
1276#117C22×D6111yescharacteristic
1277#117C22×D6111yescharacteristic
1278C2×C22⋊C4—1221no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107C22×D6111yescharacteristic
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106C22×D6111yescharacteristic
1291#106C22×D6111yescharacteristic
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8—611no—
1300C4⋊C8—611no—
1301C4⋊C8C22×D6111yescharacteristic
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103C22×D6111yescharacteristic
1315#103C22×D6111yescharacteristic
1316#103C22×D6111yescharacteristic
1317#103C22×D6111yescharacteristic
1318#103C22×D6111yescharacteristic
1319#103C22×D6111yescharacteristic
1320#103C22×D6111yescharacteristic
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
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—
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8C22×D6111yescharacteristic
1339C22⋊C8C22×D6111yescharacteristic
1340#97—611no—
1341#97—611no—
1342#97—611no—
1343#97—611no—
1344C4×C8—611no—
1345C4×C8C22×D6111yescharacteristic
1346C24—1221no—
1347#41—1222no—
1348#41—2441no—
1349#41—2441no—
1350#41—2441no—
1351#41—2441no—
1352#41—2441no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—41no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—611no—
1361C2×Q8—611no—
1362C2×Q8—611no—
1363C2×Q8—611no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—1221no—
1367C2×Q8—1221no—
1368C2×Q8—1221no—
1369C2×Q8—1222no—
1370C2×Q8—1221no—
1371C2×Q8—1222no—
1372C2×Q8—2441no—
1373C2×Q8—2441no—
1374C2×Q8—2441no—
1375C2×Q8—2441no—
1376C2×Q8C23×D6111yescharacteristic
1377C2×Q8C23×D6111yescharacteristic
1378C2×Q8C23×D6111yescharacteristic
1379C2×Q8C23×D6111yescharacteristic
1380C2×D4—611no—
1381C2×D4—611no—
1382C2×D4—611no—
1383C2×D4—611no—
1384C2×D4—611no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C2×D4D4×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413Q16—41no—
1414Q16—41no—
1415Q16—41no—
1416Q16—1222no—
1417Q16—1222no—
1418Q16—1222no—
1419Q16—1222no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—1222no—
1426SD16—1222no—
1427SD16—2441no—
1428SD16—2441no—
1429SD16—2441no—
1430SD16—2441no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—2441no—
1436D8—2441no—
1437M16—41no—
1438M16—41no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—611no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—2441no—
1446C2×C8—2441no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1495C4⋊C4C23×D6111yescharacteristic
1496C4⋊C4C23×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—611no—
1506C22⋊C4—611no—
1507C22⋊C4—611no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1543C22⋊C4D4×D6111yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—611no—
1549C42—611no—
1550C42—611no—
1551C42—611no—
1552C42—611no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42C23×D6111yescharacteristic
1565C23—611no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—4881no—
1570C23—4881no—
1571C23—2442no—
1572C23C2×D4×D6111yescharacteristic
1573C23C2×D4×D6111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—81no—
1583Q8—81no—
1584Q8—81no—
1585Q8—612no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—4881no—
1594Q8—4881no—
1595Q8—2441no—
1596Q8—2442no—
1597Q8—2442no—
1598D4—41no—
1599D4—1221no—
1600D4—1221no—
1601D4—1221no—
1602D4—1221no—
1603D4—1221no—
1604D4—1221no—
1605D4—4881no—
1606D4—4881no—
1607D4—4881no—
1608D4—4881no—
1609D4—4881no—
1610D4—4881no—
1611D4—4881no—
1612D4—2441no—
1613D4—2441no—
1614D4—2442no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—611no—
1632C2×C4—611no—
1633C2×C4—611no—
1634C2×C4—611no—
1635C2×C4—611no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—4881no—
1649C2×C4—2442no—
1650C2×C4—2442no—
1651C2×C4—2442no—
1652C2×C4—2441no—
1653C2×C4—2441no—
1654C2×C4—2442no—
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C2×D4×D6111yescharacteristic
1659C2×C4C24×D6111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C8—1221no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—1221no—
1675C22—1221no—
1676C22—1221no—
1677C22—9762no—
1678C22—2441no—
1679C22—2441no—
1680C22—2441no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—1221no—
1701C4—1222no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—1221no—
1706C4—1221no—
1707C4—1221no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4—2441no—
1712C4H(5,𝔽2)×D6111yescharacteristic
1713C4#1684059811yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—4881no—
1717C2—4881no—
1718C2—4881no—
1719C2—2441no—
1720C2#2145948211yescharacteristic
1721C2#2146060211yescharacteristic
1722C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3328C2
socleC22×C61C23×D4
hypercenter#3328D61
hypocenterC61#62091
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3328

Complements

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

NH ≅ G/Ntype
1. #21460385C2semidirect
2. #21459829C2semidirect
3. #21458896C2semidirect
4. #21458893C2semidirect
5. #21458564C2semidirect
6. #21458562C2semidirect
7. #21458098C2semidirect
8. #21458006C2semidirect
9. #21458003C2semidirect
10. #21457858C2semidirect
11. #21457849C2semidirect
12. #21457455C2semidirect
13. #21457447C2semidirect
14. #21457396C2semidirect
15. #21457393C2semidirect
16. #21457392C2semidirect
17. #21457390C2semidirect
18. #21457288C2semidirect
19. #21457285C2semidirect
20. #21457209C2semidirect
21. #21456934C2semidirect
22. #21456931C2semidirect
23. #21456821C2semidirect
24. #21456054C2semidirect
25. #21456051C2semidirect
26. #21455976C2semidirect
27. #21455348C2semidirect
28. #21455344C2semidirect
29. #21455316C2semidirect
30. #21454983C2semidirect
31. C61×#3328C2semidirect
36. C22×#11758202C22semidirect
37. C2×Q16×D61C22semidirect
40. #16840492C22semidirect
44. #16840484C22semidirect
48. #16840475C22semidirect
53. #16840425C22semidirect
62. #16840386C22semidirect
64. #16840385C22semidirect
78. #16840239C22semidirect
79. #16840238C22semidirect
83. #16840155C22semidirect
84. #16840154C22semidirect
91. #16840111C22semidirect
93. #16840101C22semidirect
96. #16840056C22semidirect
98. #16840051C22semidirect
100. #16840046C22semidirect
101. #16840046C22semidirect
102. #16840045C22semidirect
103. #16840045C22semidirect
104. #16840045C22semidirect
106. #16840019C22semidirect
111. #16839994C22semidirect
113. #16839993C22semidirect
125. #16839986C22semidirect
128. #16839984C22semidirect
135. #16839971C22semidirect
136. #16839971C22semidirect
137. #16839971C22semidirect
138. #16839971C22semidirect
139. #16839971C22semidirect
140. #16839970C22semidirect
141. #16839970C22semidirect
142. #16839969C22semidirect
143. #16839966C22semidirect
148. #16839919C22semidirect
150. #16839917C22semidirect
151. #16839916C22semidirect
158. #16839902C22semidirect
159. #16839901C22semidirect
160. #16839892C22semidirect
161. #16839891C22semidirect
162. #16839868C22semidirect
163. #16839867C22semidirect
164. #16839866C22semidirect
165. #16839866C22semidirect
166. #16839865C22semidirect
168. #16839861C22semidirect
170. #16839854C22semidirect
176. #16839831C22semidirect
177. #16839830C22semidirect
178. #16839821C22semidirect
179. #16839820C22semidirect
181. #16839790C22semidirect
182. #16839787C22semidirect
184. #16839769C22semidirect
190. C61×#487C22semidirect
192. C61×#485C22semidirect
193. C61×#475C22semidirect
195. C61×#470C22semidirect
196. C61×#462C22semidirect
198. C61×#451C22semidirect
199. C4×Q16×C61C22semidirect
202. C61×#419C22semidirect
860. #3328D61semidirect
955. #487C2×D61semidirect
959. #485C2×D61semidirect
971. #475C2×D61semidirect
977. #470C2×D61semidirect
1012. #462C2×D61semidirect
1023. #451C2×D61semidirect
1043. C4×Q16C2×D61semidirect
1060. #419C2×D61semidirect
1064. C61#62091semidirect

Maximal subgroups

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

subgroupindex
#214603852
#214598292
#214588962
#214588932
#214585642
#214585622
#214580982
#214580062
#214580032
#214578582
#214578492
#214574552
#214574472
#214573962
#214573932
#214573922
#214573902
#214572882
#214572852
#214572092
#214569342
#214569312
#214568212
#214560542
#214560512
#214559762
#214553482
#214553442
#214553162
#214549832
C61×#33282
#6209161