Finite Group Databasebeta

← #30573489

Subgroups — #30573489

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459823C211yesmaximal, characteristic, complemented
2#21458857C211yesmaximal, characteristic, complemented
3#21458839C211yesmaximal, characteristic, complemented
4#21458655C211yesmaximal, characteristic, complemented
5#21458581C211yesmaximal, characteristic, complemented
6#21457825C211yesmaximal, characteristic, complemented
7#21457810C211yesmaximal, characteristic, complemented
8#21457795C211yesmaximal, characteristic, complemented
9#21457780C211yesmaximal, characteristic, complemented
10#21457721C211yesmaximal, characteristic, complemented
11#21457669C211yesmaximal, characteristic, complemented
12#21457575C211yesmaximal, characteristic, complemented
13#21457545C211yesmaximal, characteristic, complemented
14#21457405C211yesmaximal, characteristic, complemented
15#21457405C211yesmaximal, characteristic, complemented
16#21457355C211yesmaximal, characteristic, complemented
17#21457355C211yesmaximal, characteristic, complemented
18#21457260C211yesmaximal, characteristic, complemented
19#21457254C211yesmaximal, characteristic, complemented
20#21457145C211yesmaximal, characteristic, complemented
21#21456880C211yesmaximal, characteristic, complemented
22#21456869C211yesmaximal, characteristic, complemented
23#21456814C211yesmaximal, characteristic, complemented
24#21456027C211yesmaximal, characteristic, complemented
25#21456012C211yesmaximal, characteristic, complemented
26#21455922C211yesmaximal, characteristic, complemented
27#21455365C211yesmaximal, characteristic, complemented
28#21455354C211yesmaximal, characteristic, complemented
29#21455268C211yesmaximal, characteristic, complemented
30#21454958C211yesmaximal, characteristic, complemented
31C61×#3562C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic, complemented
33C2×#14519803C2211yescharacteristic
34C2×#14519797C2211yescharacteristic
35C2×#14519797C2211yescharacteristic
36C2×#14519797C2211yescharacteristic
37C2×#14519797C2211yescharacteristic, complemented
38#16840490C2211yescharacteristic, complemented
39#16840463—21no—
40#16840463—21no—
41#16840458C2211yescharacteristic
42#16840458C2211yescharacteristic, complemented
43#16840434C2211yescharacteristic, complemented
44#16840433C2211yescharacteristic
45#16840433C2211yescharacteristic
46#16840433C2211yescharacteristic, complemented
47#16840430—21no—
48#16840416C2211yescharacteristic
49#16840414—21no—
50#16840367C2211yescharacteristic
51#16840367C2211yescharacteristic, complemented
52#16840364—21no—
53#16840364—21no—
54#16840312C2211yescharacteristic, complemented
55#16840311—21no—
56#16840297—21no—
57#16840242C2211yescharacteristic
58#16840242C2211yescharacteristic, complemented
59C4×#11758222C2211yescharacteristic, complemented
60#16840152C2211yescharacteristic
61#16840152C2211yescharacteristic
62#16840152C2211yescharacteristic
63#16840152C2211yescharacteristic, complemented
64#16840138C2211yescharacteristic
65#16840136C2211yescharacteristic, complemented
66#16840130C2211yescharacteristic, complemented
67#16840126C2211yescharacteristic
68#16840121C2211yescharacteristic
69#16840121C2211yescharacteristic, complemented
70#16840116C2211yescharacteristic
71#16840116C2211yescharacteristic
72#16840100C2211yescharacteristic, complemented
73#16840095C2211yescharacteristic
74#16840090C2211yescharacteristic
75#16840083C2211yescharacteristic
76#16840078C2211yescharacteristic
77#16840073C2211yescharacteristic, complemented
78#16840069C2211yescharacteristic, complemented
79#16840069C2211yescharacteristic, complemented
80#16840066C2211yescharacteristic, complemented
81#16840062C2211yescharacteristic
82#16840062C2211yescharacteristic, complemented
83#16840059C2211yescharacteristic, complemented
84#16840059C2211yescharacteristic, complemented
85#16840059C2211yescharacteristic, complemented
86#16840057C2211yescharacteristic, complemented
87#16840052C2211yescharacteristic
88#16840013C2211yescharacteristic
89#16840013C2211yescharacteristic, complemented
90#16840010C2211yescharacteristic
91#16840010C2211yescharacteristic
92#16839996C2211yescharacteristic
93#16839996C2211yescharacteristic
94#16839996C2211yescharacteristic
95#16839996C2211yescharacteristic, complemented
96#16839993C2211yescharacteristic
97#16839993C2211yescharacteristic
98#16839993C2211yescharacteristic, complemented
99#16839993C2211yescharacteristic, complemented
100#16839981C2211yescharacteristic
101#16839981C2211yescharacteristic
102#16839981C2211yescharacteristic
103#16839981C2211yescharacteristic
104#16839981C2211yescharacteristic, complemented
105#16839974C2211yescharacteristic
106#16839974C2211yescharacteristic
107#16839974C2211yescharacteristic
108#16839974C2211yescharacteristic
109#16839974C2211yescharacteristic
110#16839974C2211yescharacteristic
111#16839974C2211yescharacteristic, complemented
112#16839969C2211yescharacteristic, complemented
113#16839969C2211yescharacteristic, complemented
114#16839964C2211yescharacteristic, complemented
115#16839964C2211yescharacteristic, complemented
116#16839964C2211yescharacteristic, complemented
117#16839964C2211yescharacteristic, complemented
118#16839962C2211yescharacteristic, complemented
119#16839962C2211yescharacteristic, complemented
120#16839962C2211yescharacteristic, complemented
121#16839959C2211yescharacteristic
122#16839959C2211yescharacteristic
123#16839957C2211yescharacteristic
124#16839957C2211yescharacteristic
125#16839957C2211yescharacteristic, complemented
126#16839954C2211yescharacteristic
127#16839954C2211yescharacteristic
128#16839954C2211yescharacteristic
129#16839954C2211yescharacteristic
130#16839922C2211yescharacteristic
131#16839922C2211yescharacteristic
132#16839922C2211yescharacteristic, complemented
133#16839907C2211yescharacteristic
134#16839907C2211yescharacteristic
135#16839907C2211yescharacteristic
136#16839907C2211yescharacteristic
137#16839907C2211yescharacteristic
138#16839907C2211yescharacteristic
139#16839907C2211yescharacteristic, complemented
140#16839907C2211yescharacteristic, complemented
141#16839905C2211yescharacteristic
142#16839905C2211yescharacteristic
143#16839905C2211yescharacteristic, complemented
144#16839901C2211yescharacteristic, complemented
145#16839901C2211yescharacteristic, complemented
146#16839896C2211yescharacteristic
147#16839896C2211yescharacteristic
148#16839893C2211yescharacteristic, complemented
149#16839893C2211yescharacteristic, complemented
150#16839872C2211yescharacteristic
151#16839872C2211yescharacteristic, complemented
152#16839867C2211yescharacteristic, complemented
153#16839867C2211yescharacteristic, complemented
154#16839862C2211yescharacteristic
155#16839862C2211yescharacteristic
156#16839860C2211yescharacteristic, complemented
157#16839860C2211yescharacteristic, complemented
158C4×#11758202C2211yescharacteristic, complemented
159C4×#11758201C2211yescharacteristic, complemented
160C4×#11758200C2211yescharacteristic, complemented
161C4×#11758199C2211yescharacteristic
162#16839834C2211yescharacteristic
163#16839834C2211yescharacteristic
164#16839834C2211yescharacteristic
165#16839834C2211yescharacteristic, complemented
166D4×#92418C2211yescharacteristic
167D4×#92418C2211yescharacteristic, complemented
168#16839823C2211yescharacteristic
169#16839823C2211yescharacteristic, complemented
170#16839819C2211yescharacteristic, complemented
171#16839789C2211yescharacteristic
172#16839789C2211yescharacteristic, complemented
173C2×C4⋊#92418C2211yescharacteristic, complemented
174#16839763C2211yescharacteristic
175#16839763C2211yescharacteristic
176#16839758C2211yescharacteristic
177#16839758C2211yescharacteristic, complemented
178C2×#14519701C2211yescharacteristic, complemented
179C2×#14519698C2211yescharacteristic
180C61×#562—21no—
181C61×#560—21no—
182C61×#559C2211yescharacteristic
183C61×#556C2211yescharacteristic
184C61×#553—21no—
185C61×#551—21no—
186C61×#550C2211yescharacteristic
187C61×#548C2211yescharacteristic
188C61×#548C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#546C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#541C2211yescharacteristic
193C61×#540—21no—
194C61×#540C2211yescharacteristic
195C61×#539—21no—
196C61×#538—21no—
197C61×#538—21no—
198C61×#536C2211yescharacteristic
199C61×#535C2211yescharacteristic
200C61×#532C2211yescharacteristic
201C61×#529C2211yescharacteristic
202C61×#529C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209#14519808—42no—
210#14519803—42no—
211#14519797—42no—
212#14519797—42no—
213#14519797—42no—
214#14519797—42no—
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C2×#11758199C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758194C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242C22×#92418C2311yescharacteristic
243C22×#92418C2311yescharacteristic
244C22×#92418C2311yescharacteristic
245#14519777C2311yescharacteristic
246#14519775—21no—
247#14519774C2311yescharacteristic
248#14519774C2311yescharacteristic
249#14519774C2311yescharacteristic
250#14519773—21no—
251#14519773—21no—
252#14519773—21no—
253#14519772—21no—
254#14519772—21no—
255#14519769C2311yescharacteristic
256#14519769C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519765—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519759—21no—
267#14519759—21no—
268#14519757—21no—
269#14519752—21no—
270#14519752—21no—
271#14519752—21no—
272#14519751—21no—
273#14519751C2311yescharacteristic
274#14519751C2311yescharacteristic
275#14519751C2311yescharacteristic
276#14519751C2311yescharacteristic
277#14519751C2311yescharacteristic
278#14519751C2311yescharacteristic
279#14519750—21no—
280#14519750—21no—
281#14519750—21no—
282#14519750—21no—
283#14519750—21no—
284#14519750—21no—
285#14519750—21no—
286#14519750—21no—
287#14519750—21no—
288#14519750—21no—
289#14519749—21no—
290#14519749—21no—
291C4×Dic122C2311yescharacteristic
292C4×Dic122C2311yescharacteristic
293C4×Dic122C2311yescharacteristic
294C4×Dic122C2311yescharacteristic
295#14519742—21no—
296C4×D244—21no—
297C4×D244C2311yescharacteristic
298C4×D244C2311yescharacteristic
299C4×D244C2311yescharacteristic
300C4×D244C2311yescharacteristic
301C4×D244C2311yescharacteristic
302C4×D244C2311yescharacteristic
303#14519739—21no—
304#14519739—21no—
305#14519739—21no—
306C4×C22⋊D61—21no—
307C4×C22⋊D61—21no—
308#14519737—21no—
309#14519737—21no—
310#14519737—21no—
311#14519737—21no—
312#14519737—21no—
313#14519737—21no—
314#14519736C2311yescharacteristic
315#14519735—21no—
316#14519735—21no—
317#14519734—21no—
318C2×C4⋊Dic61C2311yescharacteristic
319C2×C4⋊Dic61C2311yescharacteristic
320C4⋊C4×D61—21no—
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#14519701C2311yescharacteristic
350#14519701C2311yescharacteristic
351#14519701C2311yescharacteristic
352#14519701C2311yescharacteristic
353#14519700C2311yescharacteristic
354#14519700C2311yescharacteristic
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#14519697C2311yescharacteristic
368#14519697C2311yescharacteristic
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×C61C2311yescharacteristic
386C2×#41×C61C2311yescharacteristic
387C2×#41×C61C2311yescharacteristic
388C2×#41×C61C2311yescharacteristic
389C22×Q8×C61C2311yescharacteristic
390C22×D4×C61C2311yescharacteristic
391C4⋊Q8×C61C2311yescharacteristic
392C4⋊Q8×C61C2311yescharacteristic
393#127×C61—21no—
394#127×C61C2311yescharacteristic
395#127×C61C2311yescharacteristic
396#126×C61—21no—
397#126×C61—21no—
398#126×C61—21no—
399#126×C61—21no—
400#126×C61—21no—
401#126×C61D411yescharacteristic
402#126×C61D411yescharacteristic
403#125×C61—21no—
404#125×C61—21no—
405#125×C61D411yescharacteristic
406#125×C61C2311yescharacteristic
407#124×C61—21no—
408#124×C61—21no—
409#124×C61—21no—
410#124×C61D411yescharacteristic
411#124×C61C2311yescharacteristic
412#124×C61C2311yescharacteristic
413#124×C61C2311yescharacteristic
414#124×C61C2311yescharacteristic
415#124×C61C2311yescharacteristic
416#123×C61—21no—
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×C61—21no—
424#123×C61—21no—
425#123×C61—21no—
426#123×C61—21no—
427#123×C61D411yescharacteristic
428#123×C61D411yescharacteristic
429C22⋊Q8×C61—21no—
430C22⋊Q8×C61—21no—
431C22⋊Q8×C61—21no—
432C22⋊Q8×C61—21no—
433C22⋊Q8×C61—21no—
434C22⋊Q8×C61D411yescharacteristic
435C22⋊Q8×C61C2311yescharacteristic
436C22⋊Q8×C61C2311yescharacteristic
437C22⋊Q8×C61C2311yescharacteristic
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×C61—21no—
450#121×C61—21no—
451#121×C61D411yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#120×C61—21no—
456#120×C61—21no—
457#120×C61—21no—
458#120×C61—21no—
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61—21no—
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
476#117×C61—21no—
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—
485#41×C61—41no—
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—
493C2×Q8×C61—21no—
494C2×Q8×C61—41no—
495C2×Q8×C61—41no—
496C2×Q8×C61C2×D411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
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—41no—
513C2×D4×C61—41no—
514C2×D4×C61C2×D411yescharacteristic
515C2×D4×C61C2×D411yescharacteristic
516C2×D4×C61C2×D411yescharacteristic
517C2×D4×C61C2411yescharacteristic
518C2×D4×C61C2411yescharacteristic
519C2×D4×C61C2411yescharacteristic
520C22×C4×C61—21no—
521C22×C4×C61—21no—
522C22×C4×C61—21no—
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61—21no—
528C22×C4×C61C2×D411yescharacteristic
529C22×C4×C61C2×D411yescharacteristic
530C22×C4×C61C2411yescharacteristic
531C22×C4×C61C2411yescharacteristic
532C22×C4×C61C2411yescharacteristic
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—21no—
539C2×C22⋊D61—21no—
540C2×C22⋊D61—21no—
541C2×C22⋊D61—21no—
542C22×Dic61—21no—
543C22×Dic61—21no—
544#11758226—82no—
545#11758224—82no—
546#11758222—22no—
547#11758222—22no—
548#11758222—22no—
549#11758222—41no—
550#11758222—41no—
551#11758222—41no—
552#11758222—82no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244—21no—
556C2×D244—21no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244C2411yescharacteristic
560C2×D244C2411yescharacteristic
561C2×D244C2411yescharacteristic
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×Dic122—21no—
572C2×Dic122C2411yescharacteristic
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61C2×D411yescharacteristic
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2×D411yescharacteristic
589C4⋊C4×C61C2×D411yescharacteristic
590C4⋊C4×C61C2×D411yescharacteristic
591C4⋊C4×C61C2×D411yescharacteristic
592C4⋊C4×C61C2×D411yescharacteristic
593C4⋊C4×C61C2×D411yescharacteristic
594C4⋊C4×C61C2×D411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
609C22⋊C4×C61—21no—
610C22⋊C4×C61—21no—
611C22⋊C4×C61—21no—
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61C2×D411yescharacteristic
617C22⋊C4×C61C2×D411yescharacteristic
618C22⋊C4×C61C2×D411yescharacteristic
619C22⋊C4×C61C2×D411yescharacteristic
620C22⋊C4×C61C2×D411yescharacteristic
621C22⋊C4×C61C2×D411yescharacteristic
622C22⋊C4×C61C2×D411yescharacteristic
623C22⋊C4×C61C2×D411yescharacteristic
624C22⋊C4×C61C2×D411yescharacteristic
625C22⋊C4×C61C2×D411yescharacteristic
626C42×C61—21no—
627C42×C61—21no—
628C42×C61—21no—
629C42×C61C2×D411yescharacteristic
630C42×C61C2×D411yescharacteristic
631C42×C61C2411yescharacteristic
632C42×C61C2411yescharacteristic
633C42×C61C2411yescharacteristic
634C42×C61C2411yescharacteristic
635C22⋊Dic61—21no—
636#11758202—22no—
637#11758202—22no—
638#11758202—22no—
639#11758201—41no—
640#11758201—41no—
641#11758201—41no—
642#11758201—41no—
643#11758201—41no—
644#11758201—41no—
645#11758201—41no—
646#11758201—41no—
647#11758201—41no—
648#11758200—22no—
649#11758200—22no—
650#11758200—22no—
651#11758199—41no—
652#11758199—41no—
653#11758199—41no—
654#11758199—41no—
655#11758199—41no—
656#11758199—41no—
657#11758199—41no—
658#11758199—41no—
659#11758199—41no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61—21no—
674C4⋊Dic61—21no—
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678C4⋊Dic61C2411yescharacteristic
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—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—81no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61C22×D411yescharacteristic
713C23×C61C22×D411yescharacteristic
714C23×C61C22×D411yescharacteristic
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—41no—
725Q8×C61—81no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—41no—
733D4×C61—41no—
734D4×C61—41no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743D4×C61—81no—
744D4×C61—81no—
745D4×C61—81no—
746D4×C61—81no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—41no—
759C2×C4×C61—41no—
760C2×C4×C61—81no—
761C2×C4×C61—81no—
762C2×C4×C61—81no—
763C2×C4×C61—81no—
764C2×C4×C61—81no—
765C2×C4×C61—81no—
766C2×C4×C61—81no—
767C2×C4×C61—81no—
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C2511yescharacteristic
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—81no—
784C22⋊D61—81no—
785C22⋊D61—81no—
786C22⋊D61—81no—
787C22⋊D61—81no—
788C22⋊D61—81no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—81no—
795C2×Dic61—81no—
796D244—21no—
797D244—21no—
798D244—21no—
799D244—21no—
800D244—21no—
801D244—21no—
802D244—42no—
803D244—81no—
804D244—81no—
805D244—81no—
806D244—81no—
807D244—81no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—42no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817Dic122—21no—
818Dic122—42no—
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#62014—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—162no—
848C22×C61C23×D411yescharacteristic
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C4×C61—21no—
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—41no—
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—
881#3562D6111yescharacteristic, complemented
882#3517—611no—
883#3399—611no—
884#3397—611no—
885#3377—611no—
886#3371—611no—
887#3309—611no—
888#3308—611no—
889#3307—611no—
890#3306—611no—
891#3301—611no—
892#3297—611no—
893#3287—611no—
894#3284—611no—
895#3271—611no—
896#3271—611no—
897#3268—611no—
898#3268—611no—
899#3260—611no—
900#3259—611no—
901#3247—611no—
902#3221—611no—
903#3220—611no—
904#3214—611no—
905#3120—611no—
906#3119—611no—
907#3111—611no—
908#3046—611no—
909#3045—611no—
910#3035—611no—
911#2992—611no—
912C2×C61—41no—
913C2×C61—41no—
914C2×C61—41no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61#348811yescharacteristic
919C2×C61#358411yescharacteristic
920C2×C61#358511yescharacteristic
921D61—81no—
922D61—81no—
923D61—81no—
924C2×#137—611no—
925C2×AGL(1,ℤ/8)—611no—
926C2×#135—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930#562—21no—
931#560—21no—
932#559C2×D6111yescharacteristic
933#557—611no—
934#556C2×D6111yescharacteristic
935#553—21no—
936#553—611no—
937#553—611no—
938#553—1221no—
939#553—1221no—
940#551—21no—
941#550—611no—
942#550—611no—
943#550—611no—
944#550—611no—
945#550—1221no—
946#550C2×D6111yescharacteristic
947#548C2×D6111yescharacteristic
948#548C2×D6111yescharacteristic
949#547—611no—
950#547—1221no—
951#547C2×D6111yescharacteristic
952#546C2×D6111yescharacteristic
953#546C2×D6111yescharacteristic
954#541C2×D6111yescharacteristic
955#540—21no—
956#540—611no—
957#540—611no—
958#540—1221no—
959#540—1221no—
960#540C2×D6111yescharacteristic
961#539—21no—
962#538—21no—
963#538—21no—
964#536C2×D6111yescharacteristic
965#535C2×D6111yescharacteristic
966#532—611no—
967#532—1221no—
968#532C2×D6111yescharacteristic
969#529—1221no—
970#529C2×D6111yescharacteristic
971#529C2×D6111yescharacteristic
972#520—611no—
973#520—611no—
974C4×#41—611no—
975#496—611no—
976#496—611no—
977#496—611no—
978#496—611no—
979#493—611no—
980#492—611no—
981#491—611no—
982#490—611no—
983#489—611no—
984#489—611no—
985#488—611no—
986#488—611no—
987#485—611no—
988#484—611no—
989#483—611no—
990#482—611no—
991#481—611no—
992#480—611no—
993#479—611no—
994#479—611no—
995#479—611no—
996#478—611no—
997#478—611no—
998#478—611no—
999#478—611no—
1000#478—611no—
1001#477—611no—
1002#476—611no—
1003#469—611no—
1004#469—611no—
1005#468—611no—
1006#468—611no—
1007#466—611no—
1008#466—611no—
1009#466—611no—
1010#466—611no—
1011#465—611no—
1012#465—611no—
1013#465—611no—
1014#465—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#463—611no—
1021#463—611no—
1022#463—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#462—611no—
1028#462—611no—
1029#461—611no—
1030#461—611no—
1031#461—611no—
1032#461—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#459—611no—
1039#459—611no—
1040#459—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#452—611no—
1046#452—611no—
1047#452—611no—
1048#449—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#448—611no—
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#446—611no—
1064#446—611no—
1065#442—611no—
1066#442—611no—
1067#441—611no—
1068#441—611no—
1069#440—611no—
1070#440—611no—
1071#440—611no—
1072#440—611no—
1073C4×Q16—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×D8—611no—
1077#435—611no—
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081C8×D4—611no—
1082C8×D4—611no—
1083#433—611no—
1084#433—611no—
1085#432—611no—
1086#424—611no—
1087#424—611no—
1088C2×C4⋊C8—611no—
1089#417—611no—
1090#417—611no—
1091#416—611no—
1092#416—611no—
1093C2×#103—611no—
1094C2×#102—611no—
1095C61#6201411yescharacteristic, complemented, Sylow
1096C2×#41—611no—
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—1221no—
1100C2×#41—1221no—
1101C2×#41—1221no—
1102C2×#41C22×D6111yescharacteristic
1103C2×#41C22×D6111yescharacteristic
1104C2×#41C22×D6111yescharacteristic
1105C2×#41C22×D6111yescharacteristic
1106C22×Q8C22×D6111yescharacteristic
1107C22×D4C22×D6111yescharacteristic
1108#137—2442no—
1109AGL(1,ℤ/8)—2442no—
1110#135—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×SD16—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×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8—611no—
1138C2×M16—611no—
1139C2×M16—611no—
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C4⋊Q8—611no—
1145C4⋊Q8—1221no—
1146C4⋊Q8C22×D6111yescharacteristic
1147C4⋊Q8C22×D6111yescharacteristic
1148#127—21no—
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—1221no—
1153#127—1221no—
1154#127—1221no—
1155#127C22×D6111yescharacteristic
1156#127C22×D6111yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126—1221no—
1163#126—1221no—
1164#126C22⋊D6111yescharacteristic
1165#126C22⋊D6111yescharacteristic
1166#125—21no—
1167#125—21no—
1168#125—611no—
1169#125—611no—
1170#125—1221no—
1171#125—1221no—
1172#125C22⋊D6111yescharacteristic
1173#125C22×D6111yescharacteristic
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—1221no—
1178#124C22⋊D6111yescharacteristic
1179#124C22×D6111yescharacteristic
1180#124C22×D6111yescharacteristic
1181#124C22×D6111yescharacteristic
1182#124C22×D6111yescharacteristic
1183#124C22×D6111yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
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—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—1221no—
1211C22⋊Q8C22⋊D6111yescharacteristic
1212C22⋊Q8C22×D6111yescharacteristic
1213C22⋊Q8C22×D6111yescharacteristic
1214C22⋊Q8C22×D6111yescharacteristic
1215#121—21no—
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—611no—
1229#121—611no—
1230#121—611no—
1231#121—611no—
1232#121—611no—
1233#121—611no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121C22⋊D6111yescharacteristic
1251#121C22×D6111yescharacteristic
1252#121C22×D6111yescharacteristic
1253#121C22×D6111yescharacteristic
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—1221no—
1263C4×Q8C22×D6111yescharacteristic
1264C4×Q8C22×D6111yescharacteristic
1265C4×Q8C22×D6111yescharacteristic
1266C4×Q8C22×D6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—611no—
1275C4×D4—611no—
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×D4—1221no—
1291C4×D4—1221no—
1292C4×D4C22×D6111yescharacteristic
1293C4×D4C22×D6111yescharacteristic
1294C4×D4C22×D6111yescharacteristic
1295C4×D4C22×D6111yescharacteristic
1296C4×D4C22×D6111yescharacteristic
1297C4×D4C22×D6111yescharacteristic
1298#117—21no—
1299#117—21no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117C22×D6111yescharacteristic
1305#117C22×D6111yescharacteristic
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—611no—
1308C2×C4⋊C4—611no—
1309C2×C4⋊C4—1221no—
1310C2×C4⋊C4—1221no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C42—1221no—
1314C2×C42C22×D6111yescharacteristic
1315#107—611no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#106—611no—
1320#106—611no—
1321#106—611no—
1322#106—611no—
1323C4⋊C8—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—
1333#103—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#103—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—
1365C22⋊C8—611no—
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8—611no—
1371#97—611no—
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375C4×C8—611no—
1376C4×C8—611no—
1377C24—21no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—1222no—
1387#41—1222no—
1388#41—1222no—
1389#41—4882no—
1390#41—4882no—
1391#41—4882no—
1392#41—2441no—
1393#41—2441no—
1394#41—2441no—
1395C2×Q8—21no—
1396C2×Q8—41no—
1397C2×Q8—41no—
1398C2×Q8—611no—
1399C2×Q8—1221no—
1400C2×Q8C2×C22⋊D6111yescharacteristic
1401C2×Q8C23×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—41no—
1417C2×D4—41no—
1418C2×D4—611no—
1419C2×D4—611no—
1420C2×D4—611no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4C2×C22⋊D6111yescharacteristic
1437C2×D4C2×C22⋊D6111yescharacteristic
1438C2×D4C2×C22⋊D6111yescharacteristic
1439C2×D4C23×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4C2×C22⋊D6111yescharacteristic
1462C22×C4C2×C22⋊D6111yescharacteristic
1463C22×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465C22×C4C23×D6111yescharacteristic
1466Q16—1222no—
1467Q16—1222no—
1468Q16—1222no—
1469SD16—1222no—
1470SD16—1222no—
1471SD16—1222no—
1472SD16—2441no—
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—
1489D8—2441no—
1490M16—2441no—
1491M16—2441no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—611no—
1497C2×C8—611no—
1498C2×C8—611no—
1499C2×C8—611no—
1500C2×C8—2441no—
1501C2×C8—2441no—
1502C2×C8—2441no—
1503C2×C8—2441no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
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⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
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⋊C4C2×C22⋊D6111yescharacteristic
1539C4⋊C4C2×C22⋊D6111yescharacteristic
1540C4⋊C4C2×C22⋊D6111yescharacteristic
1541C4⋊C4C23×D6111yescharacteristic
1542C4⋊C4C23×D6111yescharacteristic
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—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊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
1584C22⋊C4C2×C22⋊D6111yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42—1221no—
1593C42C2×C22⋊D6111yescharacteristic
1594C42C2×C22⋊D6111yescharacteristic
1595C42C23×D6111yescharacteristic
1596C42C23×D6111yescharacteristic
1597C42C23×D6111yescharacteristic
1598C42C23×D6111yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—81no—
1603C23—81no—
1604C23—81no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23C22×C22⋊D6111yescharacteristic
1609C23C22×C22⋊D6111yescharacteristic
1610C23C22×C22⋊D6111yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—41no—
1618Q8—81no—
1619Q8—612no—
1620Q8—1221no—
1621Q8—2442no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—41no—
1629D4—41no—
1630D4—41no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—1221no—
1644D4—1221no—
1645D4—1221no—
1646D4—1221no—
1647D4—1221no—
1648D4—1221no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—2442no—
1661D4—2442no—
1662D4—2442no—
1663D4—2442no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—4881no—
1691C2×C4—4881no—
1692C2×C4—4881no—
1693C2×C4—4881no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—2442no—
1698C2×C4—2442no—
1699C2×C4—2442no—
1700C2×C4—2442no—
1701C2×C4C22×C22⋊D6111yescharacteristic
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×C4C24×D6111yescharacteristic
1713C8—1221no—
1714C8—1221no—
1715C8—1221no—
1716C8—1221no—
1717C8—1221no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—162no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22C23×C22⋊D6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—1222no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4H(5,𝔽2)×D6111yescharacteristic
1772C4#1684059711yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—4881no—
1780C2—4881no—
1781C2—4881no—
1782C2#2145948111yescharacteristic
1783C2#2146059011yescharacteristic
1784C2#2146059811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3562C2
socleC22×C61C23×D4
hypercenter#3562D61
hypocenterC61#62014
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #529 ◁ #3562

Complements

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

NH ≅ G/Ntype
1. #21459823C2semidirect
2. #21458857C2semidirect
3. #21458839C2semidirect
4. #21458655C2semidirect
5. #21458581C2semidirect
6. #21457825C2semidirect
7. #21457810C2semidirect
8. #21457795C2semidirect
9. #21457780C2semidirect
10. #21457721C2semidirect
11. #21457669C2semidirect
12. #21457575C2semidirect
13. #21457545C2semidirect
14. #21457405C2semidirect
15. #21457405C2semidirect
16. #21457355C2semidirect
17. #21457355C2semidirect
18. #21457260C2semidirect
19. #21457254C2semidirect
20. #21457145C2semidirect
21. #21456880C2semidirect
22. #21456869C2semidirect
23. #21456814C2semidirect
24. #21456027C2semidirect
25. #21456012C2semidirect
26. #21455922C2semidirect
27. #21455365C2semidirect
28. #21455354C2semidirect
29. #21455268C2semidirect
30. #21454958C2semidirect
31. C61×#3562C2semidirect
32. C2×#14519808C22semidirect
37. C2×#14519797C22semidirect
38. #16840490C22semidirect
42. #16840458C22semidirect
43. #16840434C22semidirect
46. #16840433C22semidirect
51. #16840367C22semidirect
54. #16840312C22semidirect
58. #16840242C22semidirect
59. C4×#11758222C22semidirect
63. #16840152C22semidirect
65. #16840136C22semidirect
66. #16840130C22semidirect
69. #16840121C22semidirect
72. #16840100C22semidirect
77. #16840073C22semidirect
78. #16840069C22semidirect
79. #16840069C22semidirect
80. #16840066C22semidirect
82. #16840062C22semidirect
83. #16840059C22semidirect
84. #16840059C22semidirect
85. #16840059C22semidirect
86. #16840057C22semidirect
89. #16840013C22semidirect
95. #16839996C22semidirect
98. #16839993C22semidirect
99. #16839993C22semidirect
104. #16839981C22semidirect
111. #16839974C22semidirect
112. #16839969C22semidirect
113. #16839969C22semidirect
114. #16839964C22semidirect
115. #16839964C22semidirect
116. #16839964C22semidirect
117. #16839964C22semidirect
118. #16839962C22semidirect
119. #16839962C22semidirect
120. #16839962C22semidirect
125. #16839957C22semidirect
132. #16839922C22semidirect
139. #16839907C22semidirect
140. #16839907C22semidirect
143. #16839905C22semidirect
144. #16839901C22semidirect
145. #16839901C22semidirect
148. #16839893C22semidirect
149. #16839893C22semidirect
151. #16839872C22semidirect
152. #16839867C22semidirect
153. #16839867C22semidirect
156. #16839860C22semidirect
157. #16839860C22semidirect
158. C4×#11758202C22semidirect
159. C4×#11758201C22semidirect
160. C4×#11758200C22semidirect
165. #16839834C22semidirect
167. D4×#92418C22semidirect
169. #16839823C22semidirect
170. #16839819C22semidirect
172. #16839789C22semidirect
173. C2×C4⋊#92418C22semidirect
177. #16839758C22semidirect
178. C2×#14519701C22semidirect
881. #3562D61semidirect
1095. C61#62014semidirect

Maximal subgroups

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

subgroupindex
#214598232
#214588572
#214588392
#214586552
#214585812
#214578252
#214578102
#214577952
#214577802
#214577212
#214576692
#214575752
#214575452
#214574052
#214573552
#214572602
#214572542
#214571452
#214568802
#214568692
#214568142
#214560272
#214560122
#214559222
#214553652
#214553542
#214552682
#214549582
C61×#35622
#6201461