Finite Group Databasebeta

← #30573470

Subgroups — #30573470

Order 15616.

1790 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460407C211yesmaximal, characteristic, complemented
2#21458894C211yesmaximal, characteristic, complemented
3#21458885C211yesmaximal, characteristic, complemented
4#21458633C211yesmaximal, characteristic, complemented
5#21458559C211yesmaximal, characteristic, complemented
6#21457999C211yesmaximal, characteristic, complemented
7#21457969C211yesmaximal, characteristic, complemented
8#21457879C211yesmaximal, characteristic, complemented
9#21457849C211yesmaximal, characteristic, complemented
10#21457752C211yesmaximal, characteristic, complemented
11#21457730C211yesmaximal, characteristic, complemented
12#21457556C211yesmaximal, characteristic, complemented
13#21457527C211yesmaximal, characteristic, complemented
14#21457405C211yesmaximal, characteristic, complemented
15#21457390C211yesmaximal, characteristic, complemented
16#21457375C211yesmaximal, characteristic, complemented
17#21457330C211yesmaximal, characteristic, complemented
18#21457245C211yesmaximal, characteristic, complemented
19#21457230C211yesmaximal, characteristic, complemented
20#21457150C211yesmaximal, characteristic, complemented
21#21456922C211yesmaximal, characteristic, complemented
22#21456907C211yesmaximal, characteristic, complemented
23#21456826C211yesmaximal, characteristic, complemented
24#21456119C211yesmaximal, characteristic, complemented
25#21456110C211yesmaximal, characteristic, complemented
26#21455928C211yesmaximal, characteristic, complemented
27#21455349C211yesmaximal, characteristic, complemented
28#21455340C211yesmaximal, characteristic, complemented
29#21455274C211yesmaximal, characteristic, complemented
30#21454958C211yesmaximal, characteristic, complemented
31C61×#3518C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic
33C2×#14519808C2211yescharacteristic
34C2×#14519797C2211yescharacteristic
35C2×#14519797C2211yescharacteristic, complemented
36C22×#11758202C2211yescharacteristic, complemented
37C22×#11758201C2211yescharacteristic
38#16840508—21no—
39#16840500—21no—
40#16840497C2211yescharacteristic
41#16840485C2211yescharacteristic
42#16840463—21no—
43#16840437—21no—
44#16840433C2211yescharacteristic
45#16840421C2211yescharacteristic
46#16840421C2211yescharacteristic
47#16840417C2211yescharacteristic
48#16840408C2211yescharacteristic
49#16840408C2211yescharacteristic
50#16840374C2211yescharacteristic
51#16840367C2211yescharacteristic
52#16840364—21no—
53#16840360—21no—
54#16840348—21no—
55#16840346—21no—
56#16840338C2211yescharacteristic
57#16840331C2211yescharacteristic
58#16840312C2211yescharacteristic
59#16840296C2211yescharacteristic
60#16840157C2211yescharacteristic, complemented
61#16840154C2211yescharacteristic
62#16840154C2211yescharacteristic, complemented
63#16840152C2211yescharacteristic
64#16840144C2211yescharacteristic
65#16840144C2211yescharacteristic
66#16840124C2211yescharacteristic
67#16840124C2211yescharacteristic
68#16840124C2211yescharacteristic
69#16840124C2211yescharacteristic, complemented
70#16840114C2211yescharacteristic, complemented
71#16840110C2211yescharacteristic
72#16840103C2211yescharacteristic
73#16840103C2211yescharacteristic
74#16840103C2211yescharacteristic, complemented
75#16840086C2211yescharacteristic
76#16840086C2211yescharacteristic
77#16840086C2211yescharacteristic, complemented
78#16840069C2211yescharacteristic, complemented
79#16840069C2211yescharacteristic, complemented
80#16840069C2211yescharacteristic, complemented
81#16840062C2211yescharacteristic, complemented
82#16840054C2211yescharacteristic, complemented
83#16840049C2211yescharacteristic
84#16840044C2211yescharacteristic, complemented
85#16840044C2211yescharacteristic, complemented
86#16840039C2211yescharacteristic
87#16840039C2211yescharacteristic, complemented
88#16840018C2211yescharacteristic
89#16840013C2211yescharacteristic, complemented
90#16840010C2211yescharacteristic
91#16840006C2211yescharacteristic
92#16840001C2211yescharacteristic
93#16840001C2211yescharacteristic, complemented
94#16840001C2211yescharacteristic, complemented
95#16839996C2211yescharacteristic
96#16839993C2211yescharacteristic
97#16839993C2211yescharacteristic
98#16839993C2211yescharacteristic, complemented
99#16839989C2211yescharacteristic
100#16839984C2211yescharacteristic
101#16839984C2211yescharacteristic
102#16839984C2211yescharacteristic
103#16839984C2211yescharacteristic
104#16839984C2211yescharacteristic
105#16839984C2211yescharacteristic
106#16839984C2211yescharacteristic
107#16839984C2211yescharacteristic
108#16839984C2211yescharacteristic, complemented
109#16839981C2211yescharacteristic, complemented
110#16839981C2211yescharacteristic, complemented
111#16839977C2211yescharacteristic
112#16839977C2211yescharacteristic
113#16839977C2211yescharacteristic, complemented
114#16839974C2211yescharacteristic
115#16839974C2211yescharacteristic, complemented
116#16839972C2211yescharacteristic, complemented
117#16839972C2211yescharacteristic, complemented
118#16839972C2211yescharacteristic, complemented
119#16839972C2211yescharacteristic, complemented
120#16839972C2211yescharacteristic, complemented
121#16839969C2211yescharacteristic, complemented
122#16839967C2211yescharacteristic, complemented
123#16839964C2211yescharacteristic
124#16839962C2211yescharacteristic
125#16839962C2211yescharacteristic
126#16839962C2211yescharacteristic
127#16839962C2211yescharacteristic
128#16839962C2211yescharacteristic
129#16839957C2211yescharacteristic
130#16839924C2211yescharacteristic, complemented
131#16839922C2211yescharacteristic
132#16839922C2211yescharacteristic
133#16839922C2211yescharacteristic
134#16839922C2211yescharacteristic
135#16839922C2211yescharacteristic, complemented
136#16839922C2211yescharacteristic, complemented
137#16839918C2211yescharacteristic
138#16839918C2211yescharacteristic
139#16839917C2211yescharacteristic, complemented
140#16839912C2211yescharacteristic
141#16839907C2211yescharacteristic
142#16839905C2211yescharacteristic
143#16839905C2211yescharacteristic
144#16839901C2211yescharacteristic
145#16839901C2211yescharacteristic, complemented
146#16839900C2211yescharacteristic, complemented
147#16839895C2211yescharacteristic
148#16839893C2211yescharacteristic, complemented
149#16839893C2211yescharacteristic, complemented
150#16839872C2211yescharacteristic
151#16839867C2211yescharacteristic, complemented
152#16839867C2211yescharacteristic, complemented
153#16839867C2211yescharacteristic, complemented
154#16839862C2211yescharacteristic, complemented
155#16839860C2211yescharacteristic
156#16839860C2211yescharacteristic
157#16839860C2211yescharacteristic, complemented
158C4×#11758202C2211yescharacteristic, complemented
159C4×#11758202C2211yescharacteristic, complemented
160C4×#11758201C2211yescharacteristic
161C4×#11758201C2211yescharacteristic, complemented
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#16839770C2211yescharacteristic, complemented
175#16839766C2211yescharacteristic
176#16839756C2211yescharacteristic
177#16839756C2211yescharacteristic
178#16839756C2211yescharacteristic
179#16839756C2211yescharacteristic, complemented
180Q82×C61C2211yescharacteristic, complemented
181C61×#556—21no—
182C61×#556—21no—
183C61×#556—21no—
184C61×#556C2211yescharacteristic
185C61×#556C2211yescharacteristic, complemented
186C61×#556C2211yescharacteristic, complemented
187C61×#555—21no—
188C61×#555C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic
190C61×#548C2211yescharacteristic
191C61×#548C2211yescharacteristic, complemented
192C61×#542—21no—
193C61×#542—21no—
194C61×#542C2211yescharacteristic
195C61×#542C2211yescharacteristic, complemented
196C61×#533—21no—
197C61×#533C2211yescharacteristic, complemented
198C61×#529—21no—
199C61×#529C2211yescharacteristic
200C61×#519C2211yescharacteristic
201C61×#519C2211yescharacteristic, complemented
202C4×#41×C61C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C22×D244C2311yescharacteristic
209#14519808—42no—
210#14519808—42no—
211#14519797—42no—
212#14519797—42no—
213C2×#11758202—42no—
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758201—42no—
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×#11758201C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758194C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242C22×#92418C2311yescharacteristic
243C22×#92418C2311yescharacteristic
244C22×#92418C2311yescharacteristic
245#14519777C2311yescharacteristic
246#14519777C2311yescharacteristic
247#14519774C2311yescharacteristic
248#14519774C2311yescharacteristic
249#14519773—21no—
250#14519772—21no—
251#14519772—21no—
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519769C2311yescharacteristic
256#14519767—21no—
257#14519767—21no—
258#14519766—21no—
259#14519765C2311yescharacteristic
260#14519765C2311yescharacteristic
261#14519765C2311yescharacteristic
262#14519765C2311yescharacteristic
263#14519765C2311yescharacteristic
264#14519763—21no—
265#14519763—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519761—21no—
273#14519761—21no—
274#14519760—21no—
275#14519759—21no—
276#14519759—21no—
277#14519757—21no—
278#14519757—21no—
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519755—21no—
283#14519755—21no—
284#14519753—21no—
285#14519752—21no—
286#14519752—21no—
287#14519751—21no—
288#14519751—21no—
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519749—21no—
299#14519749—21no—
300#14519748—21no—
301#14519747—21no—
302#14519747—21no—
303#14519745—21no—
304#14519745—21no—
305C4×Dic122C2311yescharacteristic
306C4×Dic122C2311yescharacteristic
307C4×Dic122C2311yescharacteristic
308C4×D244—21no—
309C4×D244—21no—
310C4×D244C2311yescharacteristic
311C4×D244C2311yescharacteristic
312C4×D244C2311yescharacteristic
313#14519739—21no—
314#14519739—21no—
315C4×C22⋊D61—21no—
316#14519737—21no—
317#14519737—21no—
318#14519735—21no—
319#14519734—21no—
320C4⋊C4×D61—21no—
321C22⋊C4×D61—21no—
322C22⋊C4×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#14519700C2311yescharacteristic
348#14519700C2311yescharacteristic
349#14519700C2311yescharacteristic
350#14519700C2311yescharacteristic
351#14519700C2311yescharacteristic
352#14519700C2311yescharacteristic
353#14519700C2311yescharacteristic
354#14519700C2311yescharacteristic
355#14519700C2311yescharacteristic
356#14519700C2311yescharacteristic
357#14519700C2311yescharacteristic
358#14519700C2311yescharacteristic
359#14519698C2311yescharacteristic
360#14519698C2311yescharacteristic
361#14519697C2311yescharacteristic
362#14519697C2311yescharacteristic
363#14519697C2311yescharacteristic
364#14519697C2311yescharacteristic
365#14519697C2311yescharacteristic
366#14519697C2311yescharacteristic
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
386C22×Q8×C61C2311yescharacteristic
387C22×Q8×C61C2311yescharacteristic
388C4⋊Q8×C61—21no—
389C4⋊Q8×C61—21no—
390C4⋊Q8×C61—21no—
391C4⋊Q8×C61—21no—
392C4⋊Q8×C61C2311yescharacteristic
393C4⋊Q8×C61C2311yescharacteristic
394C4⋊Q8×C61C2311yescharacteristic
395C4⋊Q8×C61C2311yescharacteristic
396#126×C61—21no—
397#126×C61—21no—
398#126×C61—21no—
399#126×C61—21no—
400#126×C61—21no—
401#126×C61—21no—
402#126×C61—21no—
403#126×C61—21no—
404#126×C61D411yescharacteristic
405#126×C61D411yescharacteristic
406#125×C61—21no—
407#125×C61D411yescharacteristic
408#124×C61—21no—
409#124×C61—21no—
410#124×C61—21no—
411#124×C61—21no—
412#124×C61—21no—
413#124×C61—21no—
414#124×C61—21no—
415#124×C61—21no—
416#124×C61D411yescharacteristic
417#124×C61C2311yescharacteristic
418#124×C61C2311yescharacteristic
419#123×C61—21no—
420#123×C61—21no—
421#123×C61D411yescharacteristic
422#123×C61D411yescharacteristic
423C22⋊Q8×C61—21no—
424C22⋊Q8×C61—21no—
425C22⋊Q8×C61—21no—
426C22⋊Q8×C61—21no—
427C22⋊Q8×C61—21no—
428C22⋊Q8×C61—21no—
429C22⋊Q8×C61—21no—
430C22⋊Q8×C61—21no—
431C22⋊Q8×C61D411yescharacteristic
432C22⋊Q8×C61C2311yescharacteristic
433C22⋊Q8×C61C2311yescharacteristic
434C22⋊Q8×C61C2311yescharacteristic
435C22⋊Q8×C61C2311yescharacteristic
436#121×C61—21no—
437#121×C61—21no—
438#121×C61—21no—
439#121×C61D411yescharacteristic
440#121×C61C2311yescharacteristic
441#121×C61C2311yescharacteristic
442C4×Q8×C61—21no—
443C4×Q8×C61—21no—
444C4×Q8×C61—21no—
445C4×Q8×C61—21no—
446C4×Q8×C61—21no—
447C4×Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61—21no—
460C4×D4×C61—21no—
461C4×D4×C61—21no—
462C4×D4×C61—21no—
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469#117×C61—21no—
470#117×C61—21no—
471#117×C61—21no—
472#117×C61—21no—
473#117×C61—21no—
474#117×C61—21no—
475#117×C61—21no—
476#117×C61—21no—
477#117×C61C2311yescharacteristic
478#117×C61C2311yescharacteristic
479#117×C61C2311yescharacteristic
480#117×C61C2311yescharacteristic
481#117×C61C2311yescharacteristic
482C2×C42×C61—21no—
483C2×C42×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—22no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—21no—
492C2×Q8×C61—22no—
493C2×Q8×C61—22no—
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×C61C2×D411yescharacteristic
504C2×D4×C61C2×D411yescharacteristic
505C2×D4×C61C2×D411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61C2×D411yescharacteristic
513C22×C4×C61C2×D411yescharacteristic
514C22×C4×C61C2411yescharacteristic
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C22×Dic61—21no—
525#11758222—41no—
526#11758222—41no—
527#11758222—41no—
528#11758222—41no—
529#11758222—41no—
530#11758222—41no—
531#11758222—41no—
532#11758222—41no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244C2411yescharacteristic
541C2×D244C2411yescharacteristic
542C2×D244C2411yescharacteristic
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×Dic122—21no—
551C2×Dic122—41no—
552C2×Dic122—41no—
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2×D411yescharacteristic
577C4⋊C4×C61C2×D411yescharacteristic
578C4⋊C4×C61C2×D411yescharacteristic
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2×D411yescharacteristic
581C4⋊C4×C61C2×D411yescharacteristic
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61C2×D411yescharacteristic
603C22⋊C4×C61C2×D411yescharacteristic
604C22⋊C4×C61C2×D411yescharacteristic
605C22⋊C4×C61C2×D411yescharacteristic
606C22⋊C4×C61C2×D411yescharacteristic
607C22⋊C4×C61C2×D411yescharacteristic
608C22⋊C4×C61C2×D411yescharacteristic
609C22⋊C4×C61C2×D411yescharacteristic
610C22⋊C4×C61C2×D411yescharacteristic
611C22⋊C4×C61C2×D411yescharacteristic
612C42×C61—21no—
613C42×C61—21no—
614C42×C61—21no—
615C42×C61—21no—
616C42×C61—21no—
617C42×C61—21no—
618C42×C61—21no—
619C42×C61—21no—
620C42×C61—21no—
621C42×C61—21no—
622C42×C61—21no—
623C42×C61C2×D411yescharacteristic
624C42×C61C2×D411yescharacteristic
625C42×C61C2411yescharacteristic
626C42×C61C2411yescharacteristic
627C42×C61C2411yescharacteristic
628C42×C61C2411yescharacteristic
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632#11758202—22no—
633#11758202—22no—
634#11758202—22no—
635#11758202—41no—
636#11758202—41no—
637#11758202—41no—
638#11758202—41no—
639#11758202—41no—
640#11758202—41no—
641#11758201—22no—
642#11758201—22no—
643#11758201—22no—
644#11758201—41no—
645#11758201—41no—
646#11758201—41no—
647#11758201—41no—
648#11758201—41no—
649#11758201—41no—
650#11758200—41no—
651#11758200—41no—
652#11758200—41no—
653#11758199—41no—
654#11758199—41no—
655#11758199—41no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
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⋊Dic61—21no—
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689#11758194—41no—
690#11758194—41no—
691C2×#92418—41no—
692C2×#92418—41no—
693C2×#92418—41no—
694C2×#92418—41no—
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701C2×#92418C2411yescharacteristic
702C2×#92418C2411yescharacteristic
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C23×C61C22×D411yescharacteristic
706C23×C61C22×D411yescharacteristic
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—81no—
711C22×D61—81no—
712C22×D61—81no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—41no—
719Q8×C61—42no—
720Q8×C61—42no—
721Q8×C61—81no—
722Q8×C61—81no—
723Q8×C61—81no—
724Q8×C61H(5,𝔽2)12yes—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—41no—
728D4×C61—41no—
729D4×C61—41no—
730D4×C61—42no—
731D4×C61—81no—
732D4×C61—81no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—41no—
747C2×C4×C61—41no—
748C2×C4×C61—42no—
749C2×C4×C61—42no—
750C2×C4×C61—42no—
751C2×C4×C61—42no—
752C2×C4×C61—81no—
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C22×D411yescharacteristic
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C2511yescharacteristic
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—81no—
778D244—21no—
779D244—21no—
780D244—21no—
781D244—21no—
782D244—21no—
783D244—21no—
784D244—81no—
785D244—81no—
786D244—81no—
787D244—81no—
788D244—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796Dic122—21no—
797Dic122—21no—
798Dic122—21no—
799Dic122—21no—
800Dic122—21no—
801Dic122—21no—
802Dic122—81no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#92418—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—21no—
819C22×C61—21no—
820C22×C61—21no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61C23×D411yescharacteristic
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—21no—
841C4×C61—21no—
842C4×C61—21no—
843C4×C61—21no—
844C4×C61—21no—
845C4×C61—21no—
846C4×C61—22no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61C2×H(5,𝔽2)11yescharacteristic
854C4×C61#58511yescharacteristic
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518D6111yescharacteristic, complemented
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—41no—
893C2×C61—41no—
894C2×C61—81no—
895C2×C61#348811yescharacteristic
896C2×C61#358411yescharacteristic
897C2×C61#358611yescharacteristic
898D61—81no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82C2×D6111yescharacteristic, complemented
911#556—21no—
912#556—21no—
913#556—21no—
914#556—611no—
915#556C2×D6111yescharacteristic
916#556C2×D6111yescharacteristic, complemented
917#556C2×D6111yescharacteristic, complemented
918#555—21no—
919#555C2×D6111yescharacteristic
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8C2×D6111yescharacteristic
924#548—611no—
925#548—611no—
926#548C2×D6111yescharacteristic
927#548C2×D6111yescharacteristic, complemented
928#547—611no—
929#546—611no—
930#546—611no—
931#542—21no—
932#542—21no—
933#542C2×D6111yescharacteristic
934#542C2×D6111yescharacteristic, complemented
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—21no—
944#533C2×D6111yescharacteristic, complemented
945#532—611no—
946#529—21no—
947#529—611no—
948#529C2×D6111yescharacteristic
949#519C2×D6111yescharacteristic
950#519C2×D6111yescharacteristic, complemented
951C4×#41C2×D6111yescharacteristic, complemented
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464—611no—
1002#464—611no—
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8C22×D6111yescharacteristic
1080C22×Q8C22×D6111yescharacteristic
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—611no—
1094C2×Q16—611no—
1095C2×Q16—2442no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—611no—
1108C2×SD16—2442no—
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8—611no—
1118C4⋊Q8—21no—
1119C4⋊Q8—21no—
1120C4⋊Q8—21no—
1121C4⋊Q8—21no—
1122C4⋊Q8—611no—
1123C4⋊Q8—611no—
1124C4⋊Q8C22×D6111yescharacteristic
1125C4⋊Q8C22×D6111yescharacteristic
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126C22⋊D6111yescharacteristic
1145#126C22⋊D6111yescharacteristic
1146#125—21no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125C22⋊D6111yescharacteristic
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124—21no—
1155#124—21no—
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124—611no—
1160#124—611no—
1161#124—611no—
1162#124—611no—
1163#124—611no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124C22⋊D6111yescharacteristic
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—21no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123C22⋊D6111yescharacteristic
1184#123C22⋊D6111yescharacteristic
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—611no—
1194C22⋊Q8—611no—
1195C22⋊Q8—611no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8C22⋊D6111yescharacteristic
1202C22⋊Q8C22×D6111yescharacteristic
1203C22⋊Q8C22×D6111yescharacteristic
1204C22⋊Q8C22×D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121C22⋊D6111yescharacteristic
1226#121C22×D6111yescharacteristic
1227#121C22×D6111yescharacteristic
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—21no—
1235C4×Q8—21no—
1236C4×Q8—21no—
1237C4×Q8—21no—
1238C4×Q8—21no—
1239C4×Q8—21no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—611no—
1243C4×Q8C22×D6111yescharacteristic
1244C4×Q8C22×D6111yescharacteristic
1245C4×Q8C22×D6111yescharacteristic
1246C4×Q8C22×D6111yescharacteristic
1247C4×Q8C22×D6111yescharacteristic
1248C4×Q8C22×D6111yescharacteristic
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4C22×D6111yescharacteristic
1268C4×D4C22×D6111yescharacteristic
1269C4×D4C22×D6111yescharacteristic
1270C4×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117—21no—
1277#117—21no—
1278#117—21no—
1279#117—21no—
1280#117—1221no—
1281#117—1221no—
1282#117C22×D6111yescharacteristic
1283#117C22×D6111yescharacteristic
1284#117C22×D6111yescharacteristic
1285#117C22×D6111yescharacteristic
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—21no—
1291C2×C42C22×D6111yescharacteristic
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103—611no—
1326#103—611no—
1327#103—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102—611no—
1341#102—611no—
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—1221no—
1355#41—22no—
1356#41—41no—
1357#41—2441no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—21no—
1369C2×Q8—21no—
1370C2×Q8—22no—
1371C2×Q8—22no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—611no—
1375C2×Q8—611no—
1376C2×Q8—611no—
1377C2×Q8—1221no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8C2×C22⋊D6111yescharacteristic
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—2441no—
1403C2×D4—2441no—
1404C2×D4C2×C22⋊D6111yescharacteristic
1405C2×D4C2×C22⋊D6111yescharacteristic
1406C2×D4C2×C22⋊D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4C2×C22⋊D6111yescharacteristic
1422C22×C4C2×C22⋊D6111yescharacteristic
1423C22×C4C23×D6111yescharacteristic
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—1222no—
1427Q16—1222no—
1428Q16—1222no—
1429Q16—2441no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—1222no—
1436SD16—1222no—
1437SD16—1222no—
1438SD16—2441no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—611no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—611no—
1458C2×C8—611no—
1459C2×C8—611no—
1460C2×C8—2441no—
1461C2×C8—2441no—
1462C2×C8—2441no—
1463C2×C8—2441no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4C2×C22⋊D6111yescharacteristic
1496C4⋊C4C2×C22⋊D6111yescharacteristic
1497C4⋊C4C2×C22⋊D6111yescharacteristic
1498C4⋊C4C2×C22⋊D6111yescharacteristic
1499C4⋊C4C2×C22⋊D6111yescharacteristic
1500C4⋊C4C2×C22⋊D6111yescharacteristic
1501C4⋊C4C2×C22⋊D6111yescharacteristic
1502C4⋊C4C2×C22⋊D6111yescharacteristic
1503C4⋊C4C2×C22⋊D6111yescharacteristic
1504C4⋊C4C2×C22⋊D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4C2×C22⋊D6111yescharacteristic
1544C22⋊C4C2×C22⋊D6111yescharacteristic
1545C22⋊C4C2×C22⋊D6111yescharacteristic
1546C22⋊C4C2×C22⋊D6111yescharacteristic
1547C22⋊C4C2×C22⋊D6111yescharacteristic
1548C22⋊C4C2×C22⋊D6111yescharacteristic
1549C22⋊C4C2×C22⋊D6111yescharacteristic
1550C22⋊C4C2×C22⋊D6111yescharacteristic
1551C22⋊C4C2×C22⋊D6111yescharacteristic
1552C22⋊C4C2×C22⋊D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42C2×C22⋊D6111yescharacteristic
1568C42C2×C22⋊D6111yescharacteristic
1569C42C23×D6111yescharacteristic
1570C42C23×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—4881no—
1578C23—4881no—
1579C23—4881no—
1580C23C22×C22⋊D6111yescharacteristic
1581C23C22×C22⋊D6111yescharacteristic
1582C23C22×C22⋊D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—41no—
1589Q8—42no—
1590Q8—42no—
1591Q8—81no—
1592Q8—81no—
1593Q8—81no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—1221no—
1597Q8—1221no—
1598Q8—1221no—
1599Q8—1221no—
1600Q8—4881no—
1601Q8#1451982312yes—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—42no—
1608D4—81no—
1609D4—81no—
1610D4—1221no—
1611D4—1221no—
1612D4—1221no—
1613D4—1221no—
1614D4—1221no—
1615D4—1221no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—4881no—
1626D4—4881no—
1627D4—4881no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4C22×C22⋊D6111yescharacteristic
1662C2×C4C22×C22⋊D6111yescharacteristic
1663C2×C4C22×C22⋊D6111yescharacteristic
1664C2×C4C22×C22⋊D6111yescharacteristic
1665C2×C4C22×C22⋊D6111yescharacteristic
1666C2×C4C22×C22⋊D6111yescharacteristic
1667C2×C4C22×C22⋊D6111yescharacteristic
1668C2×C4C22×C22⋊D6111yescharacteristic
1669C2×C4C22×C22⋊D6111yescharacteristic
1670C2×C4C22×C22⋊D6111yescharacteristic
1671C2×C4C22×C22⋊D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—1221no—
1674C8—1221no—
1675C8—1221no—
1676C8—1221no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—9762no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C23×C22⋊D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—22no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982311yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—81no—
1733C2—4881no—
1734C2—4881no—
1735C2—4881no—
1736C2#2145948811yescharacteristic
1737C2#2146059011yescharacteristic
1738C2#2146060611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3518C2
socleC22×C61C23×D4
hypercenter#3518D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #529 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #21460407C2semidirect
2. #21458894C2semidirect
3. #21458885C2semidirect
4. #21458633C2semidirect
5. #21458559C2semidirect
6. #21457999C2semidirect
7. #21457969C2semidirect
8. #21457879C2semidirect
9. #21457849C2semidirect
10. #21457752C2semidirect
11. #21457730C2semidirect
12. #21457556C2semidirect
13. #21457527C2semidirect
14. #21457405C2semidirect
15. #21457390C2semidirect
16. #21457375C2semidirect
17. #21457330C2semidirect
18. #21457245C2semidirect
19. #21457230C2semidirect
20. #21457150C2semidirect
21. #21456922C2semidirect
22. #21456907C2semidirect
23. #21456826C2semidirect
24. #21456119C2semidirect
25. #21456110C2semidirect
26. #21455928C2semidirect
27. #21455349C2semidirect
28. #21455340C2semidirect
29. #21455274C2semidirect
30. #21454958C2semidirect
31. C61×#3518C2semidirect
35. C2×#14519797C22semidirect
36. C22×#11758202C22semidirect
60. #16840157C22semidirect
62. #16840154C22semidirect
69. #16840124C22semidirect
70. #16840114C22semidirect
74. #16840103C22semidirect
77. #16840086C22semidirect
78. #16840069C22semidirect
79. #16840069C22semidirect
80. #16840069C22semidirect
81. #16840062C22semidirect
82. #16840054C22semidirect
84. #16840044C22semidirect
85. #16840044C22semidirect
87. #16840039C22semidirect
89. #16840013C22semidirect
93. #16840001C22semidirect
94. #16840001C22semidirect
98. #16839993C22semidirect
108. #16839984C22semidirect
109. #16839981C22semidirect
110. #16839981C22semidirect
113. #16839977C22semidirect
115. #16839974C22semidirect
116. #16839972C22semidirect
117. #16839972C22semidirect
118. #16839972C22semidirect
119. #16839972C22semidirect
120. #16839972C22semidirect
121. #16839969C22semidirect
122. #16839967C22semidirect
130. #16839924C22semidirect
135. #16839922C22semidirect
136. #16839922C22semidirect
139. #16839917C22semidirect
145. #16839901C22semidirect
146. #16839900C22semidirect
148. #16839893C22semidirect
149. #16839893C22semidirect
151. #16839867C22semidirect
152. #16839867C22semidirect
153. #16839867C22semidirect
154. #16839862C22semidirect
157. #16839860C22semidirect
158. C4×#11758202C22semidirect
159. C4×#11758202C22semidirect
161. C4×#11758201C22semidirect
165. #16839834C22semidirect
167. D4×#92418C22semidirect
169. #16839823C22semidirect
170. #16839819C22semidirect
172. #16839789C22semidirect
173. C2×C4⋊#92418C22semidirect
174. #16839770C22semidirect
179. #16839756C22semidirect
180. Q82×C61C22semidirect
185. C61×#556C22semidirect
186. C61×#556C22semidirect
191. C61×#548C22semidirect
195. C61×#542C22semidirect
197. C61×#533C22semidirect
201. C61×#519C22semidirect
202. C4×#41×C61C22semidirect
861. #3518D61semidirect
910. Q82C2×D61semidirect
916. #556C2×D61semidirect
917. #556C2×D61semidirect
927. #548C2×D61semidirect
934. #542C2×D61semidirect
944. #533C2×D61semidirect
950. #519C2×D61semidirect
951. C4×#41C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604072
#214588942
#214588852
#214586332
#214585592
#214579992
#214579692
#214578792
#214578492
#214577522
#214577302
#214575562
#214575272
#214574052
#214573902
#214573752
#214573302
#214572452
#214572302
#214571502
#214569222
#214569072
#214568262
#214561192
#214561102
#214559282
#214553492
#214553402
#214552742
#214549582
C61×#35182
#6201361