Finite Group Databasebeta

← #30566904

Subgroups — #30566904

Order 15616.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460183C211yesmaximal, characteristic, complemented
2#21459589C211yesmaximal, characteristic, complemented
3#21457997C211yesmaximal, characteristic, complemented
4#21457990C211yesmaximal, characteristic, complemented
5#21457891C211yesmaximal, characteristic, complemented
6#21457878C211yesmaximal, characteristic, complemented
7#21457830C211yesmaximal, characteristic, complemented
8#21457827C211yesmaximal, characteristic, complemented
9#21457814C211yesmaximal, characteristic, complemented
10#21457805C211yesmaximal, characteristic, complemented
11#21457408C211yesmaximal, characteristic, complemented
12#21457398C211yesmaximal, characteristic, complemented
13#21457355C211yesmaximal, characteristic, complemented
14#21457354C211yesmaximal, characteristic, complemented
15#21457328C211yesmaximal, characteristic, complemented
16#21457314C211yesmaximal, characteristic, complemented
17#21457312C211yesmaximal, characteristic, complemented
18#21456853C211yesmaximal, characteristic, complemented
19#21456813C211yesmaximal, characteristic, complemented
20#21456722C211yesmaximal, characteristic, complemented
21#21456720C211yesmaximal, characteristic, complemented
22#21456675C211yesmaximal, characteristic, complemented
23#21456672C211yesmaximal, characteristic, complemented
24#21455989C211yesmaximal, characteristic, complemented
25#21455939C211yesmaximal, characteristic, complemented
26#21455135C211yesmaximal, characteristic, complemented
27#21455133C211yesmaximal, characteristic, complemented
28#21455101C211yesmaximal, characteristic, complemented
29#21455100C211yesmaximal, characteristic, complemented
30#21454887C211yesmaximal, characteristic, complemented
31C61×#3266C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic, complemented
33C2×#14519825C2211yescharacteristic, complemented
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic
36C2×#14519803C2211yescharacteristic
37C2×#14519800C2211yescharacteristic, complemented
38C2×#14519797C2211yescharacteristic, complemented
39C2×SD16×D61C2211yescharacteristic
40#16840502—21no—
41#16840501—21no—
42#16840483C2211yescharacteristic
43#16840462C2211yescharacteristic
44#16840458C2211yescharacteristic
45#16840434C2211yescharacteristic, complemented
46#16840433—21no—
47#16840433C2211yescharacteristic, complemented
48#16840431C2211yescharacteristic
49#16840430—21no—
50#16840427—21no—
51#16840427C2211yescharacteristic, complemented
52#16840423C2211yescharacteristic
53#16840423C2211yescharacteristic, complemented
54#16840422—21no—
55#16840422—21no—
56#16840422C2211yescharacteristic
57#16840422C2211yescharacteristic, complemented
58#16840412C2211yescharacteristic
59#16840405C2211yescharacteristic
60#16840402—21no—
61D4×C22⋊D61C2211yescharacteristic
62#16840380—21no—
63#16840350—21no—
64#16840344—21no—
65#16840342—21no—
66#16840342—21no—
67#16840342C2211yescharacteristic
68#16840342C2211yescharacteristic, complemented
69#16840342C2211yescharacteristic, complemented
70#16840340C2211yescharacteristic
71#16840329C2211yescharacteristic
72#16840328C2211yescharacteristic
73#16840327—21no—
74#16840313—21no—
75#16840313C2211yescharacteristic, complemented
76#16840309—21no—
77#16840309C2211yescharacteristic
78#16840309C2211yescharacteristic
79#16840291C2211yescharacteristic
80C4×Q8×D61C2211yescharacteristic, complemented
81#16840152C2211yescharacteristic
82#16840148C2211yescharacteristic
83#16840148C2211yescharacteristic
84#16840130C2211yescharacteristic, complemented
85#16840127C2211yescharacteristic, complemented
86#16840123C2211yescharacteristic, complemented
87#16840123C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840095C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840087C2211yescharacteristic, complemented
95#16840079C2211yescharacteristic
96#16840077C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840076C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840070C2211yescharacteristic, complemented
101#16840069C2211yescharacteristic, complemented
102#16840056C2211yescharacteristic, complemented
103#16840055C2211yescharacteristic, complemented
104#16840015C2211yescharacteristic, complemented
105#16840014C2211yescharacteristic, complemented
106#16840011C2211yescharacteristic, complemented
107#16840010C2211yescharacteristic
108#16840010C2211yescharacteristic, complemented
109#16840005C2211yescharacteristic
110#16840005C2211yescharacteristic
111#16840000C2211yescharacteristic, complemented
112#16839998C2211yescharacteristic
113#16839997C2211yescharacteristic
114#16839997C2211yescharacteristic
115#16839996C2211yescharacteristic
116#16839993C2211yescharacteristic, complemented
117#16839988C2211yescharacteristic, complemented
118#16839986C2211yescharacteristic, complemented
119#16839986C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic
121#16839979C2211yescharacteristic
122#16839979C2211yescharacteristic
123#16839964C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic
125#16839960C2211yescharacteristic
126#16839958C2211yescharacteristic, complemented
127#16839957C2211yescharacteristic, complemented
128#16839923C2211yescharacteristic, complemented
129#16839923C2211yescharacteristic, complemented
130#16839923C2211yescharacteristic, complemented
131#16839923C2211yescharacteristic, complemented
132#16839922C2211yescharacteristic, complemented
133#16839916C2211yescharacteristic, complemented
134#16839916C2211yescharacteristic, complemented
135#16839911C2211yescharacteristic
136#16839910C2211yescharacteristic, complemented
137#16839910C2211yescharacteristic, complemented
138#16839910C2211yescharacteristic, complemented
139#16839909C2211yescharacteristic
140#16839909C2211yescharacteristic, complemented
141#16839907C2211yescharacteristic, complemented
142#16839906C2211yescharacteristic
143#16839906C2211yescharacteristic
144#16839906C2211yescharacteristic
145#16839906C2211yescharacteristic
146#16839906C2211yescharacteristic, complemented
147#16839906C2211yescharacteristic, complemented
148#16839906C2211yescharacteristic, complemented
149#16839905C2211yescharacteristic
150#16839902C2211yescharacteristic, complemented
151#16839901C2211yescharacteristic
152#16839901C2211yescharacteristic, complemented
153#16839899C2211yescharacteristic
154#16839899C2211yescharacteristic
155#16839899C2211yescharacteristic
156#16839899C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic, complemented
158#16839897C2211yescharacteristic
159#16839896C2211yescharacteristic
160#16839869C2211yescharacteristic, complemented
161#16839866C2211yescharacteristic, complemented
162#16839864C2211yescharacteristic, complemented
163#16839863C2211yescharacteristic
164#16839862C2211yescharacteristic, complemented
165#16839860C2211yescharacteristic, complemented
166#16839859C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839835C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic
171#16839832C2211yescharacteristic, complemented
172#16839831C2211yescharacteristic, complemented
173#16839830C2211yescharacteristic, complemented
174#16839818C2211yescharacteristic, complemented
175#16839817C2211yescharacteristic, complemented
176#16839771C2211yescharacteristic, complemented
177#16839769C2211yescharacteristic, complemented
178#16839764C2211yescharacteristic, complemented
179#16839762C2211yescharacteristic, complemented
180#16839759C2211yescharacteristic, complemented
181#16839757C2211yescharacteristic, complemented
182C2×#14519701C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#16839730C2211yescharacteristic, complemented
185#16839728C2211yescharacteristic, complemented
186#16839727C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C22×SD16×C61C2211yescharacteristic
190D4×Q8×C61C2211yescharacteristic, complemented
191C61×#546C2211yescharacteristic
192C61×#497C2211yescharacteristic
193C61×#468C2211yescharacteristic
194C61×#467C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic
196C61×#461C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#450C2211yescharacteristic
200C61×#448C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic, complemented
203#14519825—42no—
204#14519825—42no—
205#14519825—42no—
206#14519825—42no—
207C2×#11758226—21no—
208C2×#11758226—21no—
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758226C2311yescharacteristic
212C2×#11758226C2311yescharacteristic
213C2×#11758226C2311yescharacteristic
214C2×#11758222—21no—
215C2×#11758222—21no—
216C2×#11758222—21no—
217C2×#11758222—21no—
218C2×#11758222—21no—
219C2×#11758222C2311yescharacteristic
220C2×#11758222C2311yescharacteristic
221C2×#11758222C2311yescharacteristic
222C2×#11758222C2311yescharacteristic
223C2×#11758224—21no—
224C2×Q8×D61—21no—
225C2×Q8×D61—21no—
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C2×Q8×D61C2311yescharacteristic
229C22×C22⋊D61—21no—
230C2×D4×D61C2311yescharacteristic
231#14519809—42no—
232#14519804—42no—
233#14519803—42no—
234#14519800—42no—
235#14519797—42no—
236C2×#11758202C2311yescharacteristic
237C2×#11758190C2311yescharacteristic
238C2×#11758200C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758201C2311yescharacteristic
241C2×#11758201C2311yescharacteristic
242C2×#11758201C2311yescharacteristic
243C2×#11758201C2311yescharacteristic
244C2×#11758201C2311yescharacteristic
245SD16×D61—42no—
246C2×D488C2311yescharacteristic
247C2×D488C2311yescharacteristic
248C2×#11758199C2311yescharacteristic
249C2×#11758199C2311yescharacteristic
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758194C2311yescharacteristic
253C2×#11758189C2311yescharacteristic
254C2×#11758189C2311yescharacteristic
255C22×#92418C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257C2×C8×D61C2311yescharacteristic
258#14519776—21no—
259#14519776D411yescharacteristic
260#14519776C2311yescharacteristic
261#14519774—21no—
262#14519774C2311yescharacteristic
263#14519773—21no—
264#14519773—21no—
265#14519773—21no—
266#14519773—21no—
267#14519773D411yescharacteristic
268#14519773C2311yescharacteristic
269#14519772—21no—
270#14519772—21no—
271#14519770—21no—
272#14519770—21no—
273#14519770—21no—
274#14519769C2311yescharacteristic
275#14519766—21no—
276#14519766—21no—
277#14519766C2311yescharacteristic
278#14519766C2311yescharacteristic
279#14519764—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763D411yescharacteristic
286#14519763D411yescharacteristic
287#14519760—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519758—21no—
293#14519756—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519754—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753C2311yescharacteristic
305#14519753C2311yescharacteristic
306#14519753C2311yescharacteristic
307#14519753C2311yescharacteristic
308#14519752—21no—
309#14519752—21no—
310#14519752—21no—
311#14519752—21no—
312#14519752—21no—
313#14519752—21no—
314#14519752—21no—
315#14519752D411yescharacteristic
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519752C2311yescharacteristic
319#14519751—21no—
320#14519751—21no—
321#14519751—21no—
322#14519751—21no—
323#14519751C2311yescharacteristic
324#14519751C2311yescharacteristic
325#14519751C2311yescharacteristic
326#14519751C2311yescharacteristic
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750—21no—
339#14519750—21no—
340#14519750D411yescharacteristic
341#14519750D411yescharacteristic
342#14519749—21no—
343#14519749—21no—
344#14519749—21no—
345#14519749—21no—
346#14519748—21no—
347#14519748D411yescharacteristic
348#14519748C2311yescharacteristic
349#14519748C2311yescharacteristic
350#14519748C2311yescharacteristic
351#14519748C2311yescharacteristic
352#14519748C2311yescharacteristic
353#14519747—21no—
354#14519747—21no—
355#14519746—21no—
356#14519746—21no—
357#14519746—21no—
358#14519745—21no—
359#14519745—21no—
360Q8×Dic61C2311yescharacteristic
361Q8×Dic61C2311yescharacteristic
362C4×Dic122—21no—
363C4×Dic122C2311yescharacteristic
364#14519742—21no—
365#14519742—21no—
366#14519742C2311yescharacteristic
367C4×D244—21no—
368C4×D244C2311yescharacteristic
369C4×D244C2311yescharacteristic
370D4×Dic61C2311yescharacteristic
371#14519739—21no—
372#14519739—21no—
373#14519739—21no—
374#14519739—21no—
375#14519739—21no—
376#14519739—21no—
377C4×C22⋊D61—21no—
378C4×C22⋊D61—21no—
379C4×C22⋊D61—21no—
380C4×C22⋊D61—21no—
381C4×C22⋊D61—21no—
382C4×C22⋊D61C2311yescharacteristic
383C4×C22⋊D61C2311yescharacteristic
384#14519737—21no—
385#14519737—21no—
386#14519736C2311yescharacteristic
387#14519735C2311yescharacteristic
388#14519733—21no—
389C2×C4⋊Dic61C2311yescharacteristic
390C4⋊C4×D61—21no—
391C4⋊C4×D61C2311yescharacteristic
392C4⋊C4×D61C2311yescharacteristic
393C22⋊C4×D61—21no—
394C42×D61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519711C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519710C2311yescharacteristic
401#14519709C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519688C2311yescharacteristic
443#14519687C2311yescharacteristic
444#14519687C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C22×Q8×C61C2311yescharacteristic
447C22×Q8×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449#137×C61—42no—
450C2×Q16×C61C2311yescharacteristic
451C2×Q16×C61C2311yescharacteristic
452C2×Q16×C61C2311yescharacteristic
453C2×SD16×C61—42no—
454C2×SD16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×SD16×C61C2311yescharacteristic
457C2×SD16×C61C2311yescharacteristic
458C2×SD16×C61C2311yescharacteristic
459C2×SD16×C61C2311yescharacteristic
460C2×M16×C61C2311yescharacteristic
461C22×C8×C61C2311yescharacteristic
462C4⋊Q8×C61—21no—
463C4⋊Q8×C61C2311yescharacteristic
464#124×C61C2311yescharacteristic
465#123×C61—21no—
466C22⋊Q8×C61—21no—
467C22⋊Q8×C61—21no—
468C22⋊Q8×C61C2311yescharacteristic
469C22⋊Q8×C61C2311yescharacteristic
470C22⋊Q8×C61C2311yescharacteristic
471#121×C61—21no—
472#121×C61C2311yescharacteristic
473#120×C61—21no—
474C4×Q8×C61C2311yescharacteristic
475C4×D4×C61—21no—
476C4×D4×C61C2311yescharacteristic
477C4×D4×C61C2311yescharacteristic
478C2×C22⋊C4×C61—21no—
479#107×C61C2311yescharacteristic
480C4⋊C8×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#103×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C24×C61—21no—
491C23×D61—21no—
492#41×C61—41no—
493#41×C61—41no—
494C2×Q8×C61—21no—
495C2×Q8×C61—21no—
496C2×Q8×C61—22no—
497C2×Q8×C61—22no—
498C2×Q8×C61—41no—
499C2×Q8×C61—41no—
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
503C2×Q8×C61C2411yescharacteristic
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—41no—
508C2×D4×C61—41no—
509C2×D4×C61C2×D411yescharacteristic
510C2×D4×C61C2411yescharacteristic
511C2×D4×C61C2411yescharacteristic
512C22×C4×C61—21no—
513C22×C4×C61—21no—
514C22×C4×C61—21no—
515C22×C4×C61—21no—
516C22×C4×C61C2411yescharacteristic
517C22×C4×C61C2411yescharacteristic
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—82no—
533C2×C22⋊D61C2×D411yescharacteristic
534C2×C22⋊D61C2×D411yescharacteristic
535C2×C22⋊D61C2×D411yescharacteristic
536C2×C22⋊D61C2×D411yescharacteristic
537C2×C22⋊D61C2×D411yescharacteristic
538C2×C22⋊D61C2×D411yescharacteristic
539C22×Dic61—21no—
540C22×Dic61—21no—
541#11758226—22no—
542#11758226—22no—
543#11758226—41no—
544#11758226—41no—
545#11758226—41no—
546#11758226—41no—
547#11758226—41no—
548#11758226—41no—
549#11758226—44no—
550#11758226—44no—
551#11758226—41no—
552#11758226—41no—
553Q8×D61—22no—
554Q8×D61—22no—
555Q8×D61—22no—
556Q8×D61—22no—
557Q8×D61—41no—
558Q8×D61—41no—
559Q8×D61—44no—
560Q8×D61—44no—
561#11758224—82no—
562D4×D61—41no—
563D4×D61—41no—
564#11758222—22no—
565#11758222—22no—
566#11758222—41no—
567#11758222—41no—
568#11758222—44no—
569#11758222—44no—
570#11758222—41no—
571#11758222—41no—
572#11758222—41no—
573#11758222—41no—
574#11758222—44no—
575#11758222—44no—
576#11758222—82no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244—21no—
584C2×D244—21no—
585C2×D244—21no—
586C2×D244—21no—
587C2×D244C2×D411yescharacteristic
588C2×D244C2×D411yescharacteristic
589C2×D244C2×D411yescharacteristic
590C2×D244C2411yescharacteristic
591C2×D244C2411yescharacteristic
592C2×D244C2411yescharacteristic
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—21no—
601C2×C4×D61—21no—
602C2×C4×D61—21no—
603C2×C4×D61—21no—
604C2×C4×D61—21no—
605C2×C4×D61—21no—
606C2×C4×D61C2×D411yescharacteristic
607C2×C4×D61C2×D411yescharacteristic
608C2×C4×D61C2411yescharacteristic
609C2×C4×D61C2411yescharacteristic
610C2×C4×D61C2411yescharacteristic
611C2×Dic122—21no—
612C2×Dic122—21no—
613C2×Dic122—21no—
614C2×Dic122—21no—
615C2×Dic122C2×D411yescharacteristic
616C2×Dic122C2×D411yescharacteristic
617C2×Dic122C2411yescharacteristic
618Q16×C61—22no—
619Q16×C61—41no—
620Q16×C61—41no—
621SD16×C61—22no—
622SD16×C61—22no—
623SD16×C61—41no—
624SD16×C61—41no—
625SD16×C61—41no—
626SD16×C61—41no—
627M16×C61—41no—
628C2×C8×C61—41no—
629C2×C8×C61C2411yescharacteristic
630C2×C8×C61C2411yescharacteristic
631C2×C8×C61C2411yescharacteristic
632C2×C8×C61C2411yescharacteristic
633C4⋊C4×C61—21no—
634C4⋊C4×C61—21no—
635C4⋊C4×C61—21no—
636C4⋊C4×C61—21no—
637C4⋊C4×C61—21no—
638C4⋊C4×C61—21no—
639C4⋊C4×C61C2×D411yescharacteristic
640C4⋊C4×C61C2411yescharacteristic
641C4⋊C4×C61C2411yescharacteristic
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61C2×D411yescharacteristic
650C22⋊C4×C61C2×D411yescharacteristic
651C42×C61—21no—
652C42×C61C2411yescharacteristic
653C22⋊Dic61—21no—
654C22⋊Dic61—21no—
655C22⋊Dic61—21no—
656C22⋊Dic61—21no—
657C22⋊Dic61—21no—
658C22⋊Dic61—21no—
659C22⋊Dic61—21no—
660C22⋊Dic61C2×D411yescharacteristic
661C22⋊Dic61C2×D411yescharacteristic
662#11758202—22no—
663#11758201—22no—
664#11758201—41no—
665#11758201—41no—
666#11758201—41no—
667#11758201—41no—
668#11758200—22no—
669#11758200—22no—
670#11758199—41no—
671#11758199—41no—
672#11758199—41no—
673#11758199—41no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198—21no—
690#11758198—21no—
691#11758198C2×D411yescharacteristic
692#11758198C2×D411yescharacteristic
693#11758198C2×D411yescharacteristic
694#11758198C2×D411yescharacteristic
695C4⋊Dic61—21no—
696C4⋊Dic61—21no—
697C4⋊Dic61—21no—
698C4⋊Dic61C2×D411yescharacteristic
699C4⋊Dic61C2411yescharacteristic
700C4⋊Dic61C2411yescharacteristic
701C4⋊Dic61C2411yescharacteristic
702C4⋊Dic61C2411yescharacteristic
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196—21no—
713#11758196—21no—
714#11758196C2×D411yescharacteristic
715#11758196C2×D411yescharacteristic
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61—21no—
719C4×Dic61—21no—
720C4×Dic61—21no—
721C4×Dic61—21no—
722C4×Dic61C2×D411yescharacteristic
723C4×Dic61C2×D411yescharacteristic
724C4×Dic61C2411yescharacteristic
725#11758194—41no—
726C2×#92418—41no—
727C2×#92418C2411yescharacteristic
728C2×#92418C2411yescharacteristic
729C2×#92418C2411yescharacteristic
730C2×#92418C2411yescharacteristic
731D488—41no—
732D488—41no—
733#11758190—22no—
734#11758189—41no—
735#11758189—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—81no—
741C23×C61—81no—
742C23×C61—81no—
743C23×C61C22×D411yescharacteristic
744C23×C61C22×D411yescharacteristic
745C22×D61—21no—
746C22×D61—21no—
747C22×D61—21no—
748C22×D61—81no—
749C22×D61—81no—
750C22×D61—81no—
751C22×D61C22×D411yescharacteristic
752C22×D61C22×D411yescharacteristic
753C22×D61C22×D411yescharacteristic
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61—21no—
757Q8×C61—21no—
758Q8×C61—21no—
759Q8×C61—21no—
760Q8×C61—21no—
761Q8×C61—42no—
762Q8×C61—42no—
763Q8×C61H(5,𝔽2)12yes—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—21no—
767D4×C61—21no—
768D4×C61—41no—
769D4×C61—81no—
770D4×C61—81no—
771D4×C61—81no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—42no—
783C2×C4×C61—42no—
784C2×C4×C61—81no—
785C2×C4×C61—81no—
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C22×D411yescharacteristic
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C2511yescharacteristic
791C22⋊D61—41no—
792C22⋊D61—41no—
793C22⋊D61—41no—
794C22⋊D61—41no—
795C22⋊D61—41no—
796C22⋊D61—41no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—81no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C22⋊D61—81no—
810C22⋊D61—81no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—42no—
817C2×Dic61—81no—
818C2×Dic61C22×D411yescharacteristic
819C2×Dic61C22×D411yescharacteristic
820C2×Dic61C22×D411yescharacteristic
821C2×Dic61C22×D411yescharacteristic
822C2×Dic61C22×D411yescharacteristic
823D244—21no—
824D244—21no—
825D244—21no—
826D244—21no—
827D244—21no—
828D244—21no—
829D244—41no—
830D244—41no—
831D244—41no—
832D244—42no—
833D244—42no—
834D244—42no—
835D244—42no—
836D244—42no—
837D244—81no—
838D244—81no—
839D244—81no—
840D244—81no—
841D244—81no—
842C4×D61—24no—
843C4×D61—21no—
844C4×D61—21no—
845C4×D61—21no—
846C4×D61—21no—
847C4×D61—21no—
848C4×D61—21no—
849C4×D61—41no—
850C4×D61—41no—
851C4×D61—42no—
852C4×D61—42no—
853C4×D61—42no—
854C4×D61—42no—
855C4×D61—42no—
856C4×D61—42no—
857C4×D61—42no—
858C4×D61—42no—
859C4×D61—81no—
860C4×D61—81no—
861C4×D61—81no—
862C4×D61—81no—
863Dic122—24no—
864Dic122—21no—
865Dic122—41no—
866Dic122—41no—
867Dic122—42no—
868Dic122—42no—
869Dic122—42no—
870Dic122H(5,𝔽2)12yes—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61671—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—162no—
893C22×C61C23×D411yescharacteristic
894C2×D61—21no—
895C2×D61—21no—
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—21no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—162no—
913C4×C61—21no—
914C4×C61—21no—
915C4×C61—22no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61C2×H(5,𝔽2)11yescharacteristic
924C4×C61C2×H(5,𝔽2)11yescharacteristic
925Dic61—21no—
926Dic61—21no—
927Dic61—21no—
928Dic61—22no—
929Dic61—21no—
930Dic61—21no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935#3546—611no—
936#3497—611no—
937#3320—611no—
938#3320—611no—
939#3313—611no—
940#3313—611no—
941#3309—611no—
942#3309—611no—
943#3308—611no—
944#3308—611no—
945#3271—611no—
946#3271—611no—
947#3268—611no—
948#3268—611no—
949#3266—611no—
950#3266D6111yescharacteristic, complemented
951#3265—611no—
952#3265—611no—
953#3219—611no—
954#3214—611no—
955#3203—611no—
956#3203—611no—
957#3198—611no—
958#3198—611no—
959#3117—611no—
960#3112—611no—
961#3013—611no—
962#3013—611no—
963#3010—611no—
964#3010—611no—
965#2980—611no—
966C2×C61—41no—
967C2×C61—41no—
968C2×C61—81no—
969C2×C61—81no—
970C2×C61#348411yescharacteristic
971C2×C61#358511yescharacteristic
972C2×C61#358611yescharacteristic
973D61—41no—
974D61—41no—
975D61—41no—
976D61—81no—
977D61—81no—
978D61—81no—
979C2×2−1+4—611no—
980C2×2−1+4—611no—
981C2×#137—611no—
982C2×#137C2×D6111yescharacteristic, complemented
983C2×AGL(1,ℤ/8)—611no—
984C2×AGL(1,ℤ/8)—611no—
985C2×#135—611no—
986C2×#135—611no—
987C22×SD16—611no—
988C22×SD16C2×D6111yescharacteristic
989#560—1221no—
990#560—1221no—
991#556—611no—
992#553—611no—
993#553—611no—
994#550—611no—
995#550—611no—
996#550—611no—
997#550—1221no—
998#550—1221no—
999D4×Q8—611no—
1000D4×Q8—1221no—
1001D4×Q8C2×D6111yescharacteristic, complemented
1002#548—611no—
1003#548—611no—
1004#548—611no—
1005#548—611no—
1006#548—1221no—
1007#548—1221no—
1008#547—611no—
1009#546—611no—
1010#546—1221no—
1011#546C2×D6111yescharacteristic
1012D42—611no—
1013#542—1221no—
1014#538—1221no—
1015#538—1221no—
1016#537—611no—
1017#537—611no—
1018#537—611no—
1019#537—611no—
1020#537—1221no—
1021#537—1221no—
1022#535—611no—
1023#535—611no—
1024#535—1221no—
1025#532—611no—
1026#532—611no—
1027#532—611no—
1028#532—1221no—
1029#532—1221no—
1030#529—611no—
1031C2×C4×Q8—611no—
1032#497C2×D6111yescharacteristic
1033#496—611no—
1034#496—611no—
1035#496—611no—
1036#491—611no—
1037#490—611no—
1038#489—611no—
1039#489—611no—
1040#485—611no—
1041#485—611no—
1042#484—611no—
1043#484—611no—
1044#484—611no—
1045#482—611no—
1046#482—611no—
1047#481—611no—
1048#480—611no—
1049#480—611no—
1050#480—611no—
1051#480—611no—
1052#479—611no—
1053#479—611no—
1054#477—611no—
1055#477—611no—
1056#469—611no—
1057#469—611no—
1058#468—611no—
1059#468—611no—
1060#468—611no—
1061#468—611no—
1062#468—611no—
1063#468C2×D6111yescharacteristic
1064#467—611no—
1065#467C2×D6111yescharacteristic, complemented
1066#466—611no—
1067#466—611no—
1068#466—611no—
1069#466—611no—
1070#465—611no—
1071#465—611no—
1072#464—611no—
1073#464—611no—
1074#464—611no—
1075#464C2×D6111yescharacteristic
1076#463—611no—
1077#463—611no—
1078#461—611no—
1079#461C2×D6111yescharacteristic, complemented
1080#460—611no—
1081#460—611no—
1082#459—611no—
1083#459—611no—
1084#452—611no—
1085#452—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452C2×D6111yescharacteristic, complemented
1090#451—611no—
1091#451—611no—
1092#451C2×D6111yescharacteristic, complemented
1093#450—611no—
1094#450C2×D6111yescharacteristic
1095#449—611no—
1096#449—611no—
1097#449—611no—
1098#449—611no—
1099#449—611no—
1100#449—611no—
1101#449—611no—
1102#449—611no—
1103#449—611no—
1104#449—611no—
1105#449—611no—
1106#449—611no—
1107#449—611no—
1108#449—611no—
1109#448—611no—
1110#448—611no—
1111#448—611no—
1112#448—611no—
1113#448—611no—
1114#448—611no—
1115#448—611no—
1116#448—611no—
1117#448C2×D6111yescharacteristic
1118#447—611no—
1119#447—611no—
1120#441—611no—
1121#441—611no—
1122#440—611no—
1123#440—611no—
1124#440—611no—
1125#440—611no—
1126#440—611no—
1127#440C2×D6111yescharacteristic, complemented
1128#435—611no—
1129#435—611no—
1130#435—611no—
1131#435—611no—
1132#435—611no—
1133#435—611no—
1134#435—611no—
1135#435C2×D6111yescharacteristic, complemented
1136#432—611no—
1137#432—611no—
1138#419—611no—
1139#419—611no—
1140#417—611no—
1141#417—611no—
1142#416—611no—
1143#416—611no—
1144C2×#103—611no—
1145C2×#103—611no—
1146#408—611no—
1147#408—611no—
1148#408—611no—
1149#408—611no—
1150C61#6167111yescharacteristic, complemented, Sylow
11512−1+4—2442no—
11522−1+4—2442no—
11532−1+4—2442no—
11542−1+4—2442no—
1155C2×#41—611no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—611no—
1163C2×#41—611no—
1164C2×#41—1221no—
1165C2×#41—1221no—
1166C2×#41—1221no—
1167C2×#41—1221no—
1168C2×#41—1221no—
1169C2×#41—1221no—
1170C2×#41—1221no—
1171C2×#41—1221no—
1172C2×#41C22×D6111yescharacteristic
1173C22×Q8—611no—
1174C22×Q8—611no—
1175C22×Q8—611no—
1176C22×Q8—1221no—
1177C22×Q8—1221no—
1178C22×Q8C22×D6111yescharacteristic
1179C22×Q8C22×D6111yescharacteristic
1180C22×D4—611no—
1181C22×D4—1221no—
1182C22×D4C22×D6111yescharacteristic
1183#137—42no—
1184#137—2442no—
1185AGL(1,ℤ/8)—2442no—
1186AGL(1,ℤ/8)—2442no—
1187#135—2442no—
1188#135—2442no—
1189C2×Q16—611no—
1190C2×Q16C22×D6111yescharacteristic
1191C2×Q16C22×D6111yescharacteristic
1192C2×Q16C22×D6111yescharacteristic
1193C2×SD16—42no—
1194C2×SD16—611no—
1195C2×SD16—611no—
1196C2×SD16—611no—
1197C2×SD16—611no—
1198C2×SD16—611no—
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—2442no—
1203C2×SD16C22×D6111yescharacteristic
1204C2×SD16C22×D6111yescharacteristic
1205C2×SD16C22×D6111yescharacteristic
1206C2×SD16C22×D6111yescharacteristic
1207C2×SD16C22×D6111yescharacteristic
1208C2×SD16C22×D6111yescharacteristic
1209C2×D8—611no—
1210C2×D8—611no—
1211C2×D8—611no—
1212C2×D8—611no—
1213C2×D8—611no—
1214C2×D8—611no—
1215C2×M16—611no—
1216C2×M16—611no—
1217C2×M16—611no—
1218C2×M16C22×D6111yescharacteristic
1219C22×C8—611no—
1220C22×C8—611no—
1221C22×C8—611no—
1222C22×C8C22×D6111yescharacteristic
1223C4⋊Q8—21no—
1224C4⋊Q8—611no—
1225C4⋊Q8—611no—
1226C4⋊Q8—1221no—
1227C4⋊Q8C22×D6111yescharacteristic
1228#127—611no—
1229#127—611no—
1230#127—611no—
1231#127—1221no—
1232#127—1221no—
1233#127—1221no—
1234#127—1221no—
1235#127—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#126—1221no—
1240#126—1221no—
1241#125—611no—
1242#124—611no—
1243#124—611no—
1244#124—611no—
1245#124—611no—
1246#124—1221no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124—1221no—
1251#124—1221no—
1252#124—1221no—
1253#124—1221no—
1254#124C22×D6111yescharacteristic
1255#123—21no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—611no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—1221no—
1269C22⋊Q8—1221no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8C22×D6111yescharacteristic
1280C22⋊Q8C22×D6111yescharacteristic
1281C22⋊Q8C22×D6111yescharacteristic
1282#121—21no—
1283#121—611no—
1284#121—611no—
1285#121—611no—
1286#121—611no—
1287#121—611no—
1288#121—611no—
1289#121—611no—
1290#121—611no—
1291#121—611no—
1292#121—611no—
1293#121—611no—
1294#121—611no—
1295#121—611no—
1296#121—611no—
1297#121—611no—
1298#121—611no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121—1221no—
1326#121—1221no—
1327#121—1221no—
1328#121C22×D6111yescharacteristic
1329#120—21no—
1330#120—1221no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337C4×Q8—611no—
1338C4×Q8—611no—
1339C4×Q8—611no—
1340C4×Q8—611no—
1341C4×Q8—1221no—
1342C4×Q8—1221no—
1343C4×Q8—1221no—
1344C4×Q8C22×D6111yescharacteristic
1345C4×D4—21no—
1346C4×D4—611no—
1347C4×D4—611no—
1348C4×D4—611no—
1349C4×D4—611no—
1350C4×D4—611no—
1351C4×D4—1221no—
1352C4×D4—1221no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4—1221no—
1360C4×D4—1221no—
1361C4×D4—1221no—
1362C4×D4—1221no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4C22×D6111yescharacteristic
1366C4×D4C22×D6111yescharacteristic
1367#117—611no—
1368#117—611no—
1369#117—1221no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—1221no—
1374C2×C22⋊C4—21no—
1375C2×C22⋊C4—1221no—
1376C2×C42—611no—
1377C2×C42—1221no—
1378#107—611no—
1379#107—611no—
1380#107—611no—
1381#107—611no—
1382#107—611no—
1383#107C22×D6111yescharacteristic
1384#106—611no—
1385#106—611no—
1386C4⋊C8—611no—
1387C4⋊C8—611no—
1388C4⋊C8—611no—
1389C4⋊C8C22×D6111yescharacteristic
1390#103—611no—
1391#103—611no—
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103—611no—
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#103C22×D6111yescharacteristic
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102C22×D6111yescharacteristic
1421#102C22×D6111yescharacteristic
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8C22×D6111yescharacteristic
1433C22⋊C8C22×D6111yescharacteristic
1434#97—611no—
1435#97—611no—
1436#97—611no—
1437#97C22×D6111yescharacteristic
1438C24—21no—
1439C24—1221no—
1440#41—41no—
1441#41—41no—
1442#41—1222no—
1443#41—1222no—
1444#41—1222no—
1445#41—1222no—
1446#41—4882no—
1447#41—4882no—
1448#41—2441no—
1449#41—2441no—
1450#41—2441no—
1451#41—2441no—
1452#41—2441no—
1453#41—2441no—
1454#41—2444no—
1455#41—2444no—
1456#41—2444no—
1457#41—2444no—
1458#41—2441no—
1459#41—2441no—
1460#41—2441no—
1461#41—2441no—
1462#41—2441no—
1463#41—2441no—
1464#41—2441no—
1465#41—2441no—
1466#41—2444no—
1467#41—2444no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—22no—
1471C2×Q8—22no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—611no—
1475C2×Q8—611no—
1476C2×Q8—611no—
1477C2×Q8—1221no—
1478C2×Q8—1221no—
1479C2×Q8—1221no—
1480C2×Q8—1221no—
1481C2×Q8—1222no—
1482C2×Q8—1222no—
1483C2×Q8—1222no—
1484C2×Q8—1222no—
1485C2×Q8—2441no—
1486C2×Q8—2441no—
1487C2×Q8—2444no—
1488C2×Q8—2444no—
1489C2×Q8C23×D6111yescharacteristic
1490C2×Q8C23×D6111yescharacteristic
1491C2×Q8C23×D6111yescharacteristic
1492C2×Q8C23×D6111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—41no—
1497C2×D4—41no—
1498C2×D4—611no—
1499C2×D4—611no—
1500C2×D4—611no—
1501C2×D4—611no—
1502C2×D4—611no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—611no—
1507C2×D4—611no—
1508C2×D4—611no—
1509C2×D4—611no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—1221no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—4882no—
1535C2×D4—2441no—
1536C2×D4—2441no—
1537C2×D4D4×D6111yescharacteristic
1538C2×D4C23×D6111yescharacteristic
1539C2×D4C23×D6111yescharacteristic
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—611no—
1545C22×C4—611no—
1546C22×C4—611no—
1547C22×C4—611no—
1548C22×C4—611no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—1221no—
1557C22×C4—1221no—
1558C22×C4—1221no—
1559C22×C4—1221no—
1560C22×C4—1221no—
1561C22×C4—1221no—
1562C22×C4—1221no—
1563C22×C4—1221no—
1564C22×C4C23×D6111yescharacteristic
1565C22×C4C23×D6111yescharacteristic
1566Q16—22no—
1567Q16—41no—
1568Q16—41no—
1569Q16—1222no—
1570SD16—22no—
1571SD16—22no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—41no—
1576SD16—1222no—
1577SD16—1222no—
1578SD16—1222no—
1579SD16—1222no—
1580SD16—2441no—
1581SD16—2441no—
1582SD16—2441no—
1583SD16—2441no—
1584D8—2441no—
1585D8—2441no—
1586D8—2441no—
1587D8—2441no—
1588D8—2441no—
1589D8—2441no—
1590M16—41no—
1591M16—2441no—
1592M16—2441no—
1593M16—2441no—
1594C2×C8—41no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—611no—
1598C2×C8—611no—
1599C2×C8—2441no—
1600C2×C8—2441no—
1601C2×C8—2441no—
1602C2×C8C23×D6111yescharacteristic
1603C2×C8C23×D6111yescharacteristic
1604C2×C8C23×D6111yescharacteristic
1605C2×C8C23×D6111yescharacteristic
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—611no—
1615C4⋊C4—611no—
1616C4⋊C4—611no—
1617C4⋊C4—611no—
1618C4⋊C4—611no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4—1221no—
1632C4⋊C4—1221no—
1633C4⋊C4D4×D6111yescharacteristic
1634C4⋊C4C23×D6111yescharacteristic
1635C4⋊C4C23×D6111yescharacteristic
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—611no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4D4×D6111yescharacteristic
1674C22⋊C4D4×D6111yescharacteristic
1675C42—21no—
1676C42—611no—
1677C42—611no—
1678C42—611no—
1679C42—1221no—
1680C42—1221no—
1681C42—1221no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42C23×D6111yescharacteristic
1686C23—21no—
1687C23—21no—
1688C23—81no—
1689C23—81no—
1690C23—81no—
1691C23—611no—
1692C23—611no—
1693C23—611no—
1694C23—1221no—
1695C23—1221no—
1696C23—1221no—
1697C23—4881no—
1698C23—4881no—
1699C23—4881no—
1700C23C2×D4×D6111yescharacteristic
1701C23C2×D4×D6111yescharacteristic
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—42no—
1710Q8—42no—
1711Q8—612no—
1712Q8—1224no—
1713Q8—1221no—
1714Q8—2441no—
1715Q8—2441no—
1716Q8—2442no—
1717Q8—2442no—
1718Q8—2442no—
1719Q8#1451982212yes—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—1221no—
1729D4—1221no—
1730D4—1221no—
1731D4—1221no—
1732D4—1221no—
1733D4—1221no—
1734D4—4881no—
1735D4—4881no—
1736D4—4881no—
1737D4—4881no—
1738D4—4881no—
1739D4—4881no—
1740D4—4881no—
1741D4—4881no—
1742D4—4881no—
1743D4—4881no—
1744D4—4881no—
1745D4—4881no—
1746D4—4881no—
1747D4—4881no—
1748D4—4881no—
1749D4—4881no—
1750D4—2441no—
1751D4—2441no—
1752D4—2441no—
1753D4—2442no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2442no—
1758D4—2441no—
1759D4—2441no—
1760D4—2441no—
1761D4—2441no—
1762D4—2441no—
1763D4—2441no—
1764D4—2442no—
1765D4—2442no—
1766D4—2442no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—611no—
1782C2×C4—611no—
1783C2×C4—611no—
1784C2×C4—611no—
1785C2×C4—611no—
1786C2×C4—1224no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—4881no—
1799C2×C4—4881no—
1800C2×C4—4881no—
1801C2×C4—4881no—
1802C2×C4—4881no—
1803C2×C4—2441no—
1804C2×C4—2441no—
1805C2×C4—2442no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2442no—
1811C2×C4—2442no—
1812C2×C4—2442no—
1813C2×C4—2442no—
1814C2×C4C2×D4×D6111yescharacteristic
1815C2×C4C2×D4×D6111yescharacteristic
1816C2×C4C2×D4×D6111yescharacteristic
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C24×D6111yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—1221no—
1824C8—1221no—
1825C8—1221no—
1826C8—1221no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—162no—
1840C22—1221no—
1841C22—1221no—
1842C22—1221no—
1843C22—1221no—
1844C22—1221no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1221no—
1849C22—9762no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22C22×D4×D6111yescharacteristic
1860C4—21no—
1861C4—21no—
1862C4—21no—
1863C4—21no—
1864C4—22no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—1221no—
1871C4—1221no—
1872C4—1221no—
1873C4—1221no—
1874C4—1221no—
1875C4—1222no—
1876C4—2441no—
1877C4—2441no—
1878C4—2441no—
1879C4—2441no—
1880C4H(5,𝔽2)×D6111yescharacteristic
1881C4C2×#1451982211yescharacteristic
1882C2—41no—
1883C2—41no—
1884C2—81no—
1885C2—81no—
1886C2—4881no—
1887C2—4881no—
1888C2—4881no—
1889C2—2441no—
1890C2—2441no—
1891C2—2441no—
1892C2#2145944711yescharacteristic
1893C2#2146059711yescharacteristic
1894C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3266C2
socleC22×C61C23×D4
hypercenter#3266D61
hypocenterC61#61671
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #21460183C2semidirect
2. #21459589C2semidirect
3. #21457997C2semidirect
4. #21457990C2semidirect
5. #21457891C2semidirect
6. #21457878C2semidirect
7. #21457830C2semidirect
8. #21457827C2semidirect
9. #21457814C2semidirect
10. #21457805C2semidirect
11. #21457408C2semidirect
12. #21457398C2semidirect
13. #21457355C2semidirect
14. #21457354C2semidirect
15. #21457328C2semidirect
16. #21457314C2semidirect
17. #21457312C2semidirect
18. #21456853C2semidirect
19. #21456813C2semidirect
20. #21456722C2semidirect
21. #21456720C2semidirect
22. #21456675C2semidirect
23. #21456672C2semidirect
24. #21455989C2semidirect
25. #21455939C2semidirect
26. #21455135C2semidirect
27. #21455133C2semidirect
28. #21455101C2semidirect
29. #21455100C2semidirect
30. #21454887C2semidirect
31. C61×#3266C2semidirect
32. C2×#14519825C22semidirect
33. C2×#14519825C22semidirect
34. C2×#14519809C22semidirect
37. C2×#14519800C22semidirect
38. C2×#14519797C22semidirect
45. #16840434C22semidirect
47. #16840433C22semidirect
51. #16840427C22semidirect
53. #16840423C22semidirect
57. #16840422C22semidirect
68. #16840342C22semidirect
69. #16840342C22semidirect
75. #16840313C22semidirect
80. C4×Q8×D61C22semidirect
84. #16840130C22semidirect
85. #16840127C22semidirect
86. #16840123C22semidirect
87. #16840123C22semidirect
88. #16840101C22semidirect
89. #16840100C22semidirect
90. #16840096C22semidirect
91. #16840096C22semidirect
92. #16840095C22semidirect
93. #16840089C22semidirect
94. #16840087C22semidirect
96. #16840077C22semidirect
97. #16840077C22semidirect
98. #16840076C22semidirect
99. #16840074C22semidirect
100. #16840070C22semidirect
101. #16840069C22semidirect
102. #16840056C22semidirect
103. #16840055C22semidirect
104. #16840015C22semidirect
105. #16840014C22semidirect
106. #16840011C22semidirect
108. #16840010C22semidirect
111. #16840000C22semidirect
116. #16839993C22semidirect
117. #16839988C22semidirect
118. #16839986C22semidirect
119. #16839986C22semidirect
123. #16839964C22semidirect
126. #16839958C22semidirect
127. #16839957C22semidirect
128. #16839923C22semidirect
129. #16839923C22semidirect
130. #16839923C22semidirect
131. #16839923C22semidirect
132. #16839922C22semidirect
133. #16839916C22semidirect
134. #16839916C22semidirect
136. #16839910C22semidirect
137. #16839910C22semidirect
138. #16839910C22semidirect
140. #16839909C22semidirect
141. #16839907C22semidirect
146. #16839906C22semidirect
147. #16839906C22semidirect
148. #16839906C22semidirect
150. #16839902C22semidirect
152. #16839901C22semidirect
156. #16839899C22semidirect
157. #16839899C22semidirect
160. #16839869C22semidirect
161. #16839866C22semidirect
162. #16839864C22semidirect
164. #16839862C22semidirect
165. #16839860C22semidirect
168. #16839835C22semidirect
169. #16839834C22semidirect
171. #16839832C22semidirect
172. #16839831C22semidirect
173. #16839830C22semidirect
174. #16839818C22semidirect
175. #16839817C22semidirect
176. #16839771C22semidirect
177. #16839769C22semidirect
178. #16839764C22semidirect
179. #16839762C22semidirect
180. #16839759C22semidirect
181. #16839757C22semidirect
182. C2×#14519701C22semidirect
183. #103×D61C22semidirect
184. #16839730C22semidirect
185. #16839728C22semidirect
186. #16839727C22semidirect
187. #16839727C22semidirect
188. C2×#137×C61C22semidirect
190. D4×Q8×C61C22semidirect
194. C61×#467C22semidirect
196. C61×#461C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
201. C61×#440C22semidirect
202. C61×#435C22semidirect
950. #3266D61semidirect
982. C2×#137C2×D61semidirect
1001. D4×Q8C2×D61semidirect
1065. #467C2×D61semidirect
1079. #461C2×D61semidirect
1089. #452C2×D61semidirect
1092. #451C2×D61semidirect
1127. #440C2×D61semidirect
1135. #435C2×D61semidirect
1150. C61#61671semidirect

Maximal subgroups

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

subgroupindex
#214601832
#214595892
#214579972
#214579902
#214578912
#214578782
#214578302
#214578272
#214578142
#214578052
#214574082
#214573982
#214573552
#214573542
#214573282
#214573142
#214573122
#214568532
#214568132
#214567222
#214567202
#214566752
#214566722
#214559892
#214559392
#214551352
#214551332
#214551012
#214551002
#214548872
C61×#32662
#6167161