Finite Group Databasebeta

← #30573765

Subgroups — #30573765

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#21459924C211yesmaximal, characteristic, complemented
2#21458885C211yesmaximal, characteristic, complemented
3#21458861C211yesmaximal, characteristic, complemented
4#21458655C211yesmaximal, characteristic, complemented
5#21458544C211yesmaximal, characteristic, complemented
6#21457975C211yesmaximal, characteristic, complemented
7#21457960C211yesmaximal, characteristic, complemented
8#21457945C211yesmaximal, characteristic, complemented
9#21457795C211yesmaximal, characteristic, complemented
10#21457769C211yesmaximal, characteristic, complemented
11#21457654C211yesmaximal, characteristic, complemented
12#21457575C211yesmaximal, characteristic, complemented
13#21457522C211yesmaximal, characteristic, complemented
14#21457400C211yesmaximal, characteristic, complemented
15#21457370C211yesmaximal, characteristic, complemented
16#21457355C211yesmaximal, characteristic, complemented
17#21457310C211yesmaximal, characteristic, complemented
18#21457275C211yesmaximal, characteristic, complemented
19#21457230C211yesmaximal, characteristic, complemented
20#21457139C211yesmaximal, characteristic, complemented
21#21456913C211yesmaximal, characteristic, complemented
22#21456869C211yesmaximal, characteristic, complemented
23#21456856C211yesmaximal, characteristic, complemented
24#21456090C211yesmaximal, characteristic, complemented
25#21456042C211yesmaximal, characteristic, complemented
26#21455964C211yesmaximal, characteristic, complemented
27#21455354C211yesmaximal, characteristic, complemented
28#21455336C211yesmaximal, characteristic, complemented
29#21455268C211yesmaximal, characteristic, complemented
30#21454958C211yesmaximal, characteristic, complemented
31C61×#3546C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic, complemented
33C2×#14519803C2211yescharacteristic
34C2×#14519797C2211yescharacteristic, complemented
35C2×#14519797C2211yescharacteristic, complemented
36C2×#14519797C2211yescharacteristic, complemented
37C22×#11758200C2211yescharacteristic
38#16840497C2211yescharacteristic, complemented
39#16840496—21no—
40#16840490C2211yescharacteristic, complemented
41#16840477C2211yescharacteristic, complemented
42#16840474—21no—
43#16840458C2211yescharacteristic
44#16840457—21no—
45#16840452C2211yescharacteristic, complemented
46#16840444—21no—
47#16840433C2211yescharacteristic, complemented
48#16840421C2211yescharacteristic
49#16840421C2211yescharacteristic, complemented
50#16840383C2211yescharacteristic, complemented
51#16840382—21no—
52#16840367C2211yescharacteristic, complemented
53#16840362—21no—
54#16840296C2211yescharacteristic, complemented
55#16840295—21no—
56#16840295—21no—
57#16840242C2211yescharacteristic, complemented
58#16840239C2211yescharacteristic, complemented
59C4×#11758222C2211yescharacteristic, complemented
60#16840154C2211yescharacteristic, complemented
61#16840152C2211yescharacteristic
62#16840149C2211yescharacteristic
63#16840149C2211yescharacteristic, complemented
64#16840144C2211yescharacteristic
65#16840138C2211yescharacteristic, complemented
66#16840130C2211yescharacteristic, complemented
67#16840126C2211yescharacteristic
68#16840126C2211yescharacteristic, complemented
69#16840121C2211yescharacteristic
70#16840116C2211yescharacteristic
71#16840108C2211yescharacteristic, complemented
72#16840100C2211yescharacteristic, complemented
73#16840090C2211yescharacteristic, complemented
74#16840083C2211yescharacteristic
75#16840083C2211yescharacteristic
76#16840083C2211yescharacteristic, complemented
77#16840078C2211yescharacteristic
78#16840069C2211yescharacteristic, complemented
79#16840062C2211yescharacteristic
80#16840062C2211yescharacteristic, complemented
81#16840062C2211yescharacteristic, complemented
82#16840057C2211yescharacteristic, complemented
83#16840054C2211yescharacteristic, complemented
84#16840049C2211yescharacteristic, complemented
85#16840044C2211yescharacteristic, complemented
86#16840042C2211yescharacteristic, complemented
87#16840039C2211yescharacteristic, complemented
88#16840013C2211yescharacteristic
89#16840010C2211yescharacteristic, complemented
90#16840010C2211yescharacteristic, complemented
91#16840006C2211yescharacteristic
92#16840001C2211yescharacteristic, complemented
93#16839996C2211yescharacteristic
94#16839996C2211yescharacteristic
95#16839996C2211yescharacteristic
96#16839996C2211yescharacteristic, complemented
97#16839993C2211yescharacteristic, complemented
98#16839989C2211yescharacteristic
99#16839989C2211yescharacteristic, complemented
100#16839984C2211yescharacteristic, complemented
101#16839981C2211yescharacteristic
102#16839981C2211yescharacteristic
103#16839981C2211yescharacteristic
104#16839981C2211yescharacteristic, complemented
105#16839981C2211yescharacteristic, complemented
106#16839981C2211yescharacteristic, complemented
107#16839981C2211yescharacteristic, complemented
108#16839977C2211yescharacteristic
109#16839977C2211yescharacteristic, complemented
110#16839977C2211yescharacteristic, complemented
111#16839974C2211yescharacteristic
112#16839974C2211yescharacteristic, complemented
113#16839974C2211yescharacteristic, complemented
114#16839974C2211yescharacteristic, complemented
115#16839974C2211yescharacteristic, complemented
116#16839969C2211yescharacteristic, complemented
117#16839964C2211yescharacteristic, complemented
118#16839962C2211yescharacteristic, complemented
119#16839959C2211yescharacteristic
120#16839959C2211yescharacteristic
121#16839959C2211yescharacteristic
122#16839959C2211yescharacteristic, complemented
123#16839959C2211yescharacteristic, complemented
124#16839959C2211yescharacteristic, complemented
125#16839957C2211yescharacteristic, complemented
126#16839954C2211yescharacteristic
127#16839954C2211yescharacteristic
128#16839954C2211yescharacteristic
129#16839954C2211yescharacteristic, complemented
130#16839924C2211yescharacteristic, complemented
131#16839924C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839922C2211yescharacteristic, complemented
134#16839917C2211yescharacteristic, complemented
135#16839913C2211yescharacteristic
136#16839907C2211yescharacteristic, complemented
137#16839907C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839907C2211yescharacteristic, complemented
140#16839907C2211yescharacteristic, complemented
141#16839905C2211yescharacteristic
142#16839905C2211yescharacteristic
143#16839905C2211yescharacteristic, complemented
144#16839900C2211yescharacteristic
145#16839896C2211yescharacteristic
146#16839896C2211yescharacteristic
147#16839896C2211yescharacteristic
148#16839893C2211yescharacteristic, complemented
149#16839893C2211yescharacteristic, complemented
150#16839872C2211yescharacteristic
151#16839872C2211yescharacteristic, complemented
152#16839872C2211yescharacteristic, complemented
153#16839867C2211yescharacteristic, complemented
154#16839867C2211yescharacteristic, complemented
155#16839862C2211yescharacteristic
156#16839862C2211yescharacteristic, complemented
157#16839862C2211yescharacteristic, complemented
158C4×#11758202C2211yescharacteristic, complemented
159C4×#11758201C2211yescharacteristic, complemented
160C4×#11758200C2211yescharacteristic, complemented
161C4×#11758200C2211yescharacteristic, complemented
162#16839834C2211yescharacteristic
163#16839834C2211yescharacteristic
164#16839834C2211yescharacteristic, complemented
165#16839834C2211yescharacteristic, complemented
166D4×#92418C2211yescharacteristic, complemented
167D4×#92418C2211yescharacteristic, complemented
168#16839823C2211yescharacteristic, complemented
169#16839823C2211yescharacteristic, complemented
170#16839819C2211yescharacteristic, complemented
171#16839789C2211yescharacteristic, complemented
172#16839789C2211yescharacteristic, complemented
173C2×C4⋊#92418C2211yescharacteristic, complemented
174#16839767C2211yescharacteristic
175#16839763C2211yescharacteristic, complemented
176#16839758C2211yescharacteristic, complemented
177#16839758C2211yescharacteristic, complemented
178#16839758C2211yescharacteristic, complemented
179C2×#14519698C2211yescharacteristic
180C61×#560—21no—
181C61×#560—21no—
182C61×#556C2211yescharacteristic
183C61×#553—21no—
184C61×#550C2211yescharacteristic
185C61×#550C2211yescharacteristic
186C61×#550C2211yescharacteristic
187C61×#547C2211yescharacteristic
188C61×#546—21no—
189C61×#546C2211yescharacteristic
190C61×#546C2211yescharacteristic
191D42×C61C2211yescharacteristic
192C61×#542C2211yescharacteristic
193C61×#542C2211yescharacteristic
194C61×#538—21no—
195C61×#538—21no—
196C61×#537—21no—
197C61×#535—21no—
198C61×#535C2211yescharacteristic
199C61×#535C2211yescharacteristic
200C61×#532C2211yescharacteristic
201C61×#532C2211yescharacteristic
202C61×#529C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206#14519807—42no—
207#14519803—42no—
208#14519797—42no—
209#14519797—42no—
210#14519797—42no—
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758200—42no—
216C2×#11758200C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C2×#11758199C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758194C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C22×#92418C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C22×#92418C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242#14519777C2311yescharacteristic
243#14519775—21no—
244#14519774C2311yescharacteristic
245#14519773—21no—
246#14519772—21no—
247#14519772—21no—
248#14519771—21no—
249#14519770—21no—
250#14519769C2311yescharacteristic
251#14519769C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519766—21no—
256#14519765C2311yescharacteristic
257#14519765C2311yescharacteristic
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519758—21no—
271#14519756C2311yescharacteristic
272#14519756C2311yescharacteristic
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519751C2311yescharacteristic
277#14519751C2311yescharacteristic
278#14519751C2311yescharacteristic
279#14519751C2311yescharacteristic
280#14519750—21no—
281#14519750—21no—
282#14519750—21no—
283#14519750—21no—
284#14519749—21no—
285#14519749—21no—
286#14519749—21no—
287#14519748—21no—
288C4×Dic122C2311yescharacteristic
289C4×Dic122C2311yescharacteristic
290C4×Dic122C2311yescharacteristic
291C4×Dic122C2311yescharacteristic
292C4×Dic122C2311yescharacteristic
293C4×Dic122C2311yescharacteristic
294#14519742—21no—
295#14519742—21no—
296#14519742—21no—
297C4×D244C2311yescharacteristic
298C4×D244C2311yescharacteristic
299C4×D244C2311yescharacteristic
300C4×D244C2311yescharacteristic
301#14519739—21no—
302#14519739—21no—
303C4×C22⋊D61—21no—
304C4×C22⋊D61—21no—
305C4×C22⋊D61—21no—
306#14519737—21no—
307#14519737—21no—
308#14519737—21no—
309#14519737—21no—
310#14519737—21no—
311#14519736C2311yescharacteristic
312#14519736C2311yescharacteristic
313#14519735—21no—
314#14519735—21no—
315#14519734—21no—
316#14519734—21no—
317#14519733—21no—
318#14519733—21no—
319#14519733—21no—
320C2×C4⋊Dic61C2311yescharacteristic
321C4⋊C4×D61—21no—
322C42×D61—21no—
323#14519710C2311yescharacteristic
324#14519710C2311yescharacteristic
325#14519710C2311yescharacteristic
326#14519710C2311yescharacteristic
327#14519708C2311yescharacteristic
328#14519708C2311yescharacteristic
329#14519708C2311yescharacteristic
330#14519708C2311yescharacteristic
331C4⋊#92418C2311yescharacteristic
332C4⋊#92418C2311yescharacteristic
333C4⋊#92418C2311yescharacteristic
334C4⋊#92418C2311yescharacteristic
335C4⋊#92418C2311yescharacteristic
336C4⋊#92418C2311yescharacteristic
337C4⋊#92418C2311yescharacteristic
338C4⋊#92418C2311yescharacteristic
339C4⋊#92418C2311yescharacteristic
340C4⋊#92418C2311yescharacteristic
341#14519701C2311yescharacteristic
342#14519701C2311yescharacteristic
343#14519701C2311yescharacteristic
344#14519701C2311yescharacteristic
345#14519701C2311yescharacteristic
346#14519701C2311yescharacteristic
347#14519701C2311yescharacteristic
348#14519701C2311yescharacteristic
349#14519700C2311yescharacteristic
350#14519700C2311yescharacteristic
351#14519700C2311yescharacteristic
352#14519700C2311yescharacteristic
353#14519698C2311yescharacteristic
354#14519698C2311yescharacteristic
355#14519698C2311yescharacteristic
356#14519698C2311yescharacteristic
357#14519698C2311yescharacteristic
358#14519698C2311yescharacteristic
359#14519698C2311yescharacteristic
360#14519698C2311yescharacteristic
361#14519698C2311yescharacteristic
362#14519698C2311yescharacteristic
363#14519698C2311yescharacteristic
364#14519698C2311yescharacteristic
365#14519698C2311yescharacteristic
366#14519698C2311yescharacteristic
367#14519698C2311yescharacteristic
368#14519698C2311yescharacteristic
369#14519697C2311yescharacteristic
370#14519697C2311yescharacteristic
371#14519697C2311yescharacteristic
372#14519697C2311yescharacteristic
373C22⋊#92418C2311yescharacteristic
374C22⋊#92418C2311yescharacteristic
375C22⋊#92418C2311yescharacteristic
376C22⋊#92418C2311yescharacteristic
377C22⋊#92418C2311yescharacteristic
378C22⋊#92418C2311yescharacteristic
379#14519688C2311yescharacteristic
380#14519688C2311yescharacteristic
381#14519688C2311yescharacteristic
382#14519688C2311yescharacteristic
383C4×#92418C2311yescharacteristic
384C4×#92418C2311yescharacteristic
385C2×#41×C61—21no—
386C2×#41×C61—21no—
387C2×#41×C61C2311yescharacteristic
388C2×#41×C61C2311yescharacteristic
389C2×#41×C61C2311yescharacteristic
390C2×#41×C61C2311yescharacteristic
391C22×D4×C61—21no—
392C22×D4×C61C2311yescharacteristic
393C22×D4×C61C2311yescharacteristic
394C4⋊Q8×C61C2311yescharacteristic
395C4⋊Q8×C61C2311yescharacteristic
396#127×C61—21no—
397#127×C61—21no—
398#127×C61C2311yescharacteristic
399#127×C61C2311yescharacteristic
400#127×C61C2311yescharacteristic
401#127×C61C2311yescharacteristic
402#126×C61—21no—
403#126×C61—21no—
404#126×C61—21no—
405#126×C61—21no—
406#126×C61D411yescharacteristic
407#126×C61D411yescharacteristic
408#125×C61D411yescharacteristic
409#124×C61—21no—
410#124×C61—21no—
411#124×C61—21no—
412#124×C61D411yescharacteristic
413#124×C61C2311yescharacteristic
414#124×C61C2311yescharacteristic
415#124×C61C2311yescharacteristic
416#124×C61C2311yescharacteristic
417#123×C61—21no—
418#123×C61—21no—
419#123×C61—21no—
420#123×C61—21no—
421#123×C61—21no—
422#123×C61—21no—
423#123×C61D411yescharacteristic
424#123×C61D411yescharacteristic
425C22⋊Q8×C61—21no—
426C22⋊Q8×C61—21no—
427C22⋊Q8×C61—21no—
428C22⋊Q8×C61D411yescharacteristic
429C22⋊Q8×C61C2311yescharacteristic
430C22⋊Q8×C61C2311yescharacteristic
431#121×C61—21no—
432#121×C61—21no—
433#121×C61—21no—
434#121×C61—21no—
435#121×C61—21no—
436#121×C61—21no—
437#121×C61—21no—
438#121×C61—21no—
439#121×C61—21no—
440#121×C61—21no—
441#121×C61—21no—
442#121×C61—21no—
443#121×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61D411yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#120×C61—21no—
455#120×C61—21no—
456#120×C61—21no—
457#120×C61—21no—
458#120×C61—21no—
459#120×C61—21no—
460#120×C61—21no—
461#120×C61—21no—
462C4×Q8×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61—21no—
466C4×D4×C61—21no—
467C4×D4×C61—21no—
468C4×D4×C61—21no—
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C4×D4×C61C2311yescharacteristic
473C4×D4×C61C2311yescharacteristic
474C4×D4×C61C2311yescharacteristic
475C4×D4×C61C2311yescharacteristic
476C4×D4×C61C2311yescharacteristic
477#117×C61—21no—
478#117×C61C2311yescharacteristic
479#117×C61C2311yescharacteristic
480C2×C4⋊C4×C61—21no—
481C2×C22⋊C4×C61—21no—
482C2×C22⋊C4×C61—21no—
483C2×C42×C61C2311yescharacteristic
484C24×C61—21no—
485C24×C61—21no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491#41×C61—41no—
492#41×C61—41no—
493#41×C61—41no—
494#41×C61—82no—
495#41×C61—82no—
496C2×Q8×C61—21no—
497C2×Q8×C61C2×D411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—21no—
517C2×D4×C61—21no—
518C2×D4×C61—41no—
519C2×D4×C61—41no—
520C2×D4×C61—41no—
521C2×D4×C61—41no—
522C2×D4×C61—82no—
523C2×D4×C61C2×D411yescharacteristic
524C2×D4×C61C2×D411yescharacteristic
525C2×D4×C61C2×D411yescharacteristic
526C2×D4×C61C2411yescharacteristic
527C2×D4×C61C2411yescharacteristic
528C2×D4×C61C2411yescharacteristic
529C2×D4×C61C2411yescharacteristic
530C22×C4×C61—21no—
531C22×C4×C61—21no—
532C22×C4×C61—21no—
533C22×C4×C61—21no—
534C22×C4×C61—21no—
535C22×C4×C61—21no—
536C22×C4×C61—21no—
537C22×C4×C61—21no—
538C22×C4×C61C2×D411yescharacteristic
539C22×C4×C61C2×D411yescharacteristic
540C22×C4×C61C2411yescharacteristic
541C22×C4×C61C2411yescharacteristic
542C22×C4×C61C2411yescharacteristic
543C2×C22⋊D61—21no—
544C2×C22⋊D61—21no—
545C2×C22⋊D61—21no—
546C2×C22⋊D61—21no—
547C2×C22⋊D61—21no—
548C2×C22⋊D61—21no—
549C22×Dic61—21no—
550C22×Dic61—21no—
551#11758222—22no—
552#11758222—22no—
553#11758222—41no—
554#11758222—41no—
555C2×D244—21no—
556C2×D244—21no—
557C2×D244C2411yescharacteristic
558C2×D244C2411yescharacteristic
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×Dic122—22no—
566C2×Dic122—21no—
567C2×Dic122—21no—
568C2×Dic122—41no—
569C2×Dic122C2411yescharacteristic
570C2×Dic122C2411yescharacteristic
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61C2×D411yescharacteristic
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2×D411yescharacteristic
581C4⋊C4×C61C2×D411yescharacteristic
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2×D411yescharacteristic
584C4⋊C4×C61C2×D411yescharacteristic
585C4⋊C4×C61C2×D411yescharacteristic
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
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×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61—21no—
606C22⋊C4×C61—21no—
607C22⋊C4×C61—21no—
608C22⋊C4×C61C2×D411yescharacteristic
609C22⋊C4×C61C2×D411yescharacteristic
610C22⋊C4×C61C2×D411yescharacteristic
611C22⋊C4×C61C2×D411yescharacteristic
612C22⋊C4×C61C2×D411yescharacteristic
613C22⋊C4×C61C2×D411yescharacteristic
614C22⋊C4×C61C2×D411yescharacteristic
615C22⋊C4×C61C2×D411yescharacteristic
616C22⋊C4×C61C2×D411yescharacteristic
617C22⋊C4×C61C2×D411yescharacteristic
618C42×C61—21no—
619C42×C61—21no—
620C42×C61C2×D411yescharacteristic
621C42×C61C2×D411yescharacteristic
622C42×C61C2411yescharacteristic
623C42×C61C2411yescharacteristic
624C42×C61C2411yescharacteristic
625C42×C61C2411yescharacteristic
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630#11758202—22no—
631#11758202—22no—
632#11758202—41no—
633#11758202—41no—
634#11758201—41no—
635#11758201—41no—
636#11758201—41no—
637#11758201—41no—
638#11758200—22no—
639#11758200—22no—
640#11758200—22no—
641#11758200—22no—
642#11758200—41no—
643#11758200—41no—
644#11758200—41no—
645#11758200—41no—
646#11758199—41no—
647#11758199—41no—
648#11758199—41no—
649#11758199—41no—
650#11758199—41no—
651#11758199—41no—
652#11758199—41no—
653#11758199—41no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670C4⋊Dic61C2411yescharacteristic
671C4⋊Dic61C2411yescharacteristic
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61—21no—
691C4×Dic61—21no—
692#11758194—41no—
693#11758194—41no—
694C2×#92418—41no—
695C2×#92418—41no—
696C2×#92418—41no—
697C2×#92418—41no—
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701C2×#92418C2411yescharacteristic
702C2×#92418C2411yescharacteristic
703C2×#92418C2411yescharacteristic
704C2×#92418C2411yescharacteristic
705C2×#92418C2411yescharacteristic
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61—81no—
713C23×C61—81no—
714C23×C61—81no—
715C23×C61—81no—
716C23×C61C22×D411yescharacteristic
717C23×C61C22×D411yescharacteristic
718C23×C61C22×D411yescharacteristic
719C22×D61—21no—
720C22×D61—21no—
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—41no—
726Q8×C61—81no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—41no—
736D4×C61—41no—
737D4×C61—41no—
738D4×C61—42no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743D4×C61—81no—
744D4×C61—81no—
745D4×C61—81no—
746D4×C61—81no—
747D4×C61—81no—
748D4×C61—81no—
749D4×C61—81no—
750D4×C61—81no—
751D4×C61—81no—
752D4×C61—81no—
753D4×C61—81no—
754D4×C61—81no—
755D4×C61—81no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—41no—
767C2×C4×C61—41no—
768C2×C4×C61—42no—
769C2×C4×C61—42no—
770C2×C4×C61—81no—
771C2×C4×C61—81no—
772C2×C4×C61—81no—
773C2×C4×C61—81no—
774C2×C4×C61—81no—
775C2×C4×C61—81no—
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C22×D411yescharacteristic
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C2511yescharacteristic
788C22⋊D61—42no—
789C22⋊D61—42no—
790C22⋊D61—81no—
791C22⋊D61—81no—
792C22⋊D61—81no—
793C22⋊D61—81no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—42no—
801C2×Dic61—81no—
802D244—21no—
803D244—21no—
804D244—21no—
805D244—21no—
806D244—81no—
807D244—81no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—81no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814Dic122—21no—
815Dic122—21no—
816Dic122—21no—
817Dic122—42no—
818Dic122—81no—
819Dic122H(5,𝔽2)12yes—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#92418—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—21no—
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—162no—
851C22×C61—162no—
852C22×C61C23×D411yescharacteristic
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—21no—
865C4×C61—21no—
866C4×C61—21no—
867C4×C61—21no—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—41no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61C2×H(5,𝔽2)11yescharacteristic
875C4×C61#58511yescharacteristic
876Dic61—22no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882#3546D6111yescharacteristic, complemented
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#3269—611no—
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—41no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61—81no—
919C2×C61—81no—
920C2×C61#348811yescharacteristic
921C2×C61#358411yescharacteristic
922C2×C61#358511yescharacteristic
923D61—81no—
924D61—81no—
925C2×#137—611no—
926C2×AGL(1,ℤ/8)—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930C22×SD16—611no—
931#560—21no—
932#560—21no—
933#559—611no—
934#559—1221no—
935#557—611no—
936#556C2×D6111yescharacteristic
937#555—611no—
938#555—1221no—
939#553—21no—
940#553—611no—
941#553—1221no—
942#552—611no—
943#552—1221no—
944#550—611no—
945#550C2×D6111yescharacteristic
946#550C2×D6111yescharacteristic
947#550C2×D6111yescharacteristic
948#548—611no—
949#548—611no—
950#547C2×D6111yescharacteristic
951#546—21no—
952#546C2×D6111yescharacteristic
953#546C2×D6111yescharacteristic
954D42C2×D6111yescharacteristic
955#542—611no—
956#542—1221no—
957#542C2×D6111yescharacteristic
958#542C2×D6111yescharacteristic
959#540—611no—
960#540—1221no—
961#538—21no—
962#538—21no—
963#537—21no—
964#535—21no—
965#535C2×D6111yescharacteristic
966#535C2×D6111yescharacteristic
967#532C2×D6111yescharacteristic
968#532C2×D6111yescharacteristic
969#529—611no—
970#529—1221no—
971#529—1221no—
972#529C2×D6111yescharacteristic
973#520—611no—
974#519—611no—
975C4×#41—611no—
976#497—611no—
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#468—611no—
1008#467—611no—
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#463—611no—
1032#462—611no—
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#452—611no—
1049#452—611no—
1050#451—611no—
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#449—611no—
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#440—611no—
1074C4×Q16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081#435—611no—
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—21no—
1098C2×#41—21no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41C22×D6111yescharacteristic
1102C2×#41C22×D6111yescharacteristic
1103C2×#41C22×D6111yescharacteristic
1104C2×#41C22×D6111yescharacteristic
1105C22×Q8—611no—
1106C22×D4—21no—
1107C22×D4C22×D6111yescharacteristic
1108C22×D4C22×D6111yescharacteristic
1109#137—2442no—
1110AGL(1,ℤ/8)—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×Q16—611no—
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—611no—
1127C2×SD16—611no—
1128C2×SD16—611no—
1129C2×SD16—611no—
1130C2×SD16—2442no—
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8—611no—
1138C2×D8—611no—
1139C2×M16—611no—
1140C2×M16—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8—611no—
1145C4⋊Q8—611no—
1146C4⋊Q8—1221no—
1147C4⋊Q8C22×D6111yescharacteristic
1148C4⋊Q8C22×D6111yescharacteristic
1149#127—21no—
1150#127—21no—
1151#127—611no—
1152#127—1221no—
1153#127C22×D6111yescharacteristic
1154#127C22×D6111yescharacteristic
1155#127C22×D6111yescharacteristic
1156#127C22×D6111yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126C22⋊D6111yescharacteristic
1166#126C22⋊D6111yescharacteristic
1167#125—611no—
1168#125—611no—
1169#125—1221no—
1170#125—1221no—
1171#125—1221no—
1172#125C22⋊D6111yescharacteristic
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—611no—
1177#124—611no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124C22⋊D6111yescharacteristic
1185#124C22×D6111yescharacteristic
1186#124C22×D6111yescharacteristic
1187#124C22×D6111yescharacteristic
1188#124C22×D6111yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
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#123C22⋊D6111yescharacteristic
1204#123C22⋊D6111yescharacteristic
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
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—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—611no—
1235#121—611no—
1236#121—611no—
1237#121—611no—
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#121C22⋊D6111yescharacteristic
1247#121C22×D6111yescharacteristic
1248#121C22×D6111yescharacteristic
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251#120—21no—
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8—1221no—
1268C4×Q8C22×D6111yescharacteristic
1269C4×Q8C22×D6111yescharacteristic
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1291C4×D4C22×D6111yescharacteristic
1292C4×D4C22×D6111yescharacteristic
1293C4×D4C22×D6111yescharacteristic
1294C4×D4C22×D6111yescharacteristic
1295C4×D4C22×D6111yescharacteristic
1296C4×D4C22×D6111yescharacteristic
1297#117—21no—
1298#117—611no—
1299#117—611no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117C22×D6111yescharacteristic
1308#117C22×D6111yescharacteristic
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—611no—
1311C2×C4⋊C4—1221no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C42—1221no—
1315C2×C42C22×D6111yescharacteristic
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107—611no—
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⋊C8—611no—
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#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
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#102—611no—
1365#102—611no—
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8—611no—
1371C22⋊C8—611no—
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97—611no—
1376C4×C8—611no—
1377C4×C8—611no—
1378C24—21no—
1379C24—21no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—82no—
1389#41—82no—
1390#41—1222no—
1391#41—1222no—
1392#41—2441no—
1393#41—2441no—
1394C2×Q8—21no—
1395C2×Q8—611no—
1396C2×Q8—611no—
1397C2×Q8—1222no—
1398C2×Q8—1221no—
1399C2×Q8—1221no—
1400C2×Q8—2441no—
1401C2×Q8C2×C22⋊D6111yescharacteristic
1402C2×Q8C23×D6111yescharacteristic
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—82no—
1427C2×D4—611no—
1428C2×D4—611no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4C2×C22⋊D6111yescharacteristic
1438C2×D4C2×C22⋊D6111yescharacteristic
1439C2×D4C2×C22⋊D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C2×D4C23×D6111yescharacteristic
1443C2×D4C23×D6111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
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×C4C2×C22⋊D6111yescharacteristic
1461C22×C4C2×C22⋊D6111yescharacteristic
1462C22×C4C23×D6111yescharacteristic
1463C22×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465Q16—1222no—
1466Q16—1222no—
1467Q16—2441no—
1468Q16—2441no—
1469SD16—1222no—
1470SD16—1222no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—2441no—
1474SD16—2441no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—2441no—
1482D8—2441no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489M16—2441no—
1490M16—2441no—
1491C2×C8—611no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—611no—
1497C2×C8—611no—
1498C2×C8—611no—
1499C2×C8—2441no—
1500C2×C8—2441no—
1501C2×C8—2441no—
1502C2×C8—2441no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4C2×C22⋊D6111yescharacteristic
1529C4⋊C4C2×C22⋊D6111yescharacteristic
1530C4⋊C4C2×C22⋊D6111yescharacteristic
1531C4⋊C4C2×C22⋊D6111yescharacteristic
1532C4⋊C4C2×C22⋊D6111yescharacteristic
1533C4⋊C4C2×C22⋊D6111yescharacteristic
1534C4⋊C4C2×C22⋊D6111yescharacteristic
1535C4⋊C4C2×C22⋊D6111yescharacteristic
1536C4⋊C4C2×C22⋊D6111yescharacteristic
1537C4⋊C4C2×C22⋊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—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
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⋊C4C2×C22⋊D6111yescharacteristic
1575C22⋊C4C2×C22⋊D6111yescharacteristic
1576C22⋊C4C2×C22⋊D6111yescharacteristic
1577C22⋊C4C2×C22⋊D6111yescharacteristic
1578C22⋊C4C2×C22⋊D6111yescharacteristic
1579C22⋊C4C2×C22⋊D6111yescharacteristic
1580C22⋊C4C2×C22⋊D6111yescharacteristic
1581C22⋊C4C2×C22⋊D6111yescharacteristic
1582C22⋊C4C2×C22⋊D6111yescharacteristic
1583C22⋊C4C2×C22⋊D6111yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42C2×C22⋊D6111yescharacteristic
1595C42C2×C22⋊D6111yescharacteristic
1596C42C23×D6111yescharacteristic
1597C42C23×D6111yescharacteristic
1598C42C23×D6111yescharacteristic
1599C42C23×D6111yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—1221no—
1611C23—1221no—
1612C23C22×C22⋊D6111yescharacteristic
1613C23C22×C22⋊D6111yescharacteristic
1614C23C22×C22⋊D6111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—41no—
1620Q8—81no—
1621Q8—612no—
1622Q8—1221no—
1623Q8—1221no—
1624Q8—1221no—
1625Q8—4881no—
1626Q8—2442no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—41no—
1637D4—41no—
1638D4—42no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—1221no—
1657D4—1221no—
1658D4—1221no—
1659D4—1221no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—4881no—
1665D4—4881no—
1666D4—2442no—
1667D4—2442no—
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—41no—
1679C2×C4—41no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—2442no—
1700C2×C4—2442no—
1701C2×C4—2442no—
1702C2×C4C22×C22⋊D6111yescharacteristic
1703C2×C4C22×C22⋊D6111yescharacteristic
1704C2×C4C22×C22⋊D6111yescharacteristic
1705C2×C4C22×C22⋊D6111yescharacteristic
1706C2×C4C22×C22⋊D6111yescharacteristic
1707C2×C4C22×C22⋊D6111yescharacteristic
1708C2×C4C22×C22⋊D6111yescharacteristic
1709C2×C4C22×C22⋊D6111yescharacteristic
1710C2×C4C22×C22⋊D6111yescharacteristic
1711C2×C4C22×C22⋊D6111yescharacteristic
1712C2×C4C22×C22⋊D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—1221no—
1715C8—1221no—
1716C8—1221no—
1717C8—1221no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—162no—
1744C22—162no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22C23×C22⋊D6111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—1222no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4H(5,𝔽2)×D6111yescharacteristic
1774C4#1684059711yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—4881no—
1783C2—4881no—
1784C2#2145948111yescharacteristic
1785C2#2146059011yescharacteristic
1786C2#2146059911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3546C2
socleC22×C61C23×D4
hypercenter#3546D61
hypocenterC61#62026
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #529 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #21459924C2semidirect
2. #21458885C2semidirect
3. #21458861C2semidirect
4. #21458655C2semidirect
5. #21458544C2semidirect
6. #21457975C2semidirect
7. #21457960C2semidirect
8. #21457945C2semidirect
9. #21457795C2semidirect
10. #21457769C2semidirect
11. #21457654C2semidirect
12. #21457575C2semidirect
13. #21457522C2semidirect
14. #21457400C2semidirect
15. #21457370C2semidirect
16. #21457355C2semidirect
17. #21457310C2semidirect
18. #21457275C2semidirect
19. #21457230C2semidirect
20. #21457139C2semidirect
21. #21456913C2semidirect
22. #21456869C2semidirect
23. #21456856C2semidirect
24. #21456090C2semidirect
25. #21456042C2semidirect
26. #21455964C2semidirect
27. #21455354C2semidirect
28. #21455336C2semidirect
29. #21455268C2semidirect
30. #21454958C2semidirect
31. C61×#3546C2semidirect
32. C2×#14519807C22semidirect
34. C2×#14519797C22semidirect
35. C2×#14519797C22semidirect
36. C2×#14519797C22semidirect
38. #16840497C22semidirect
40. #16840490C22semidirect
41. #16840477C22semidirect
45. #16840452C22semidirect
47. #16840433C22semidirect
49. #16840421C22semidirect
50. #16840383C22semidirect
52. #16840367C22semidirect
54. #16840296C22semidirect
57. #16840242C22semidirect
58. #16840239C22semidirect
59. C4×#11758222C22semidirect
60. #16840154C22semidirect
63. #16840149C22semidirect
65. #16840138C22semidirect
66. #16840130C22semidirect
68. #16840126C22semidirect
71. #16840108C22semidirect
72. #16840100C22semidirect
73. #16840090C22semidirect
76. #16840083C22semidirect
78. #16840069C22semidirect
80. #16840062C22semidirect
81. #16840062C22semidirect
82. #16840057C22semidirect
83. #16840054C22semidirect
84. #16840049C22semidirect
85. #16840044C22semidirect
86. #16840042C22semidirect
87. #16840039C22semidirect
89. #16840010C22semidirect
90. #16840010C22semidirect
92. #16840001C22semidirect
96. #16839996C22semidirect
97. #16839993C22semidirect
99. #16839989C22semidirect
100. #16839984C22semidirect
104. #16839981C22semidirect
105. #16839981C22semidirect
106. #16839981C22semidirect
107. #16839981C22semidirect
109. #16839977C22semidirect
110. #16839977C22semidirect
112. #16839974C22semidirect
113. #16839974C22semidirect
114. #16839974C22semidirect
115. #16839974C22semidirect
116. #16839969C22semidirect
117. #16839964C22semidirect
118. #16839962C22semidirect
122. #16839959C22semidirect
123. #16839959C22semidirect
124. #16839959C22semidirect
125. #16839957C22semidirect
129. #16839954C22semidirect
130. #16839924C22semidirect
131. #16839924C22semidirect
132. #16839924C22semidirect
133. #16839922C22semidirect
134. #16839917C22semidirect
136. #16839907C22semidirect
137. #16839907C22semidirect
138. #16839907C22semidirect
139. #16839907C22semidirect
140. #16839907C22semidirect
143. #16839905C22semidirect
148. #16839893C22semidirect
149. #16839893C22semidirect
151. #16839872C22semidirect
152. #16839872C22semidirect
153. #16839867C22semidirect
154. #16839867C22semidirect
156. #16839862C22semidirect
157. #16839862C22semidirect
158. C4×#11758202C22semidirect
159. C4×#11758201C22semidirect
160. C4×#11758200C22semidirect
161. C4×#11758200C22semidirect
164. #16839834C22semidirect
165. #16839834C22semidirect
166. D4×#92418C22semidirect
167. D4×#92418C22semidirect
168. #16839823C22semidirect
169. #16839823C22semidirect
170. #16839819C22semidirect
171. #16839789C22semidirect
172. #16839789C22semidirect
173. C2×C4⋊#92418C22semidirect
175. #16839763C22semidirect
176. #16839758C22semidirect
177. #16839758C22semidirect
178. #16839758C22semidirect
882. #3546D61semidirect
1096. C61#62026semidirect

Maximal subgroups

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

subgroupindex
#214599242
#214588852
#214588612
#214586552
#214585442
#214579752
#214579602
#214579452
#214577952
#214577692
#214576542
#214575752
#214575222
#214574002
#214573702
#214573552
#214573102
#214572752
#214572302
#214571392
#214569132
#214568692
#214568562
#214560902
#214560422
#214559642
#214553542
#214553362
#214552682
#214549582
C61×#35462
#6202661