Finite Group Databasebeta

← #30557135

Subgroups — #30557135

Order 15616.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D61C211yesmaximal, characteristic, complemented
2#21459306C211yesmaximal, characteristic
3#21458090C211yesmaximal, characteristic, complemented
4#21458082C211yesmaximal, characteristic, complemented
5#21458036C211yesmaximal, characteristic, complemented
6#21458028C211yesmaximal, characteristic, complemented
7#21457947C211yesmaximal, characteristic, complemented
8#21457939C211yesmaximal, characteristic, complemented
9#21457915C211yesmaximal, characteristic, complemented
10#21457877C211yesmaximal, characteristic, complemented
11#21457869C211yesmaximal, characteristic, complemented
12#21457845C211yesmaximal, characteristic, complemented
13#21457837C211yesmaximal, characteristic, complemented
14#21457709C211yesmaximal, characteristic, complemented
15#21457701C211yesmaximal, characteristic, complemented
16#21457655C211yesmaximal, characteristic, complemented
17#21457647C211yesmaximal, characteristic, complemented
18#21456221C211yesmaximal, characteristic, complemented
19#21455751C211yesmaximal, characteristic, complemented
20#21455746C211yesmaximal, characteristic, complemented
21#21455636C211yesmaximal, characteristic, complemented
22#21455448C211yesmaximal, characteristic, complemented
23#21455446C211yesmaximal, characteristic, complemented
24#21455292C211yesmaximal, characteristic, complemented
25#21455076C211yesmaximal, characteristic, complemented
26#21455076C211yesmaximal, characteristic, complemented
27#21454641C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29#21454334C211yesmaximal, characteristic, complemented
30#417×D61C211yesmaximal, characteristic, complemented
31C61×#3315C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519809C2211yescharacteristic, complemented
36C2×#14519806C2211yescharacteristic
37C22×#11758189C2211yescharacteristic, complemented
38C2×M16×D61C2211yescharacteristic, complemented
39#16840454C2211yescharacteristic, complemented
40#16840453C2211yescharacteristic
41#16840452C2211yescharacteristic, complemented
42#16840451C2211yescharacteristic, complemented
43#16840450C2211yescharacteristic
44#16840449—21no—
45#16840448—21no—
46#16840447C2211yescharacteristic, complemented
47#16840446C2211yescharacteristic, complemented
48#16840445—21no—
49#16840444—21no—
50#16840433C2211yescharacteristic
51#16840427C2211yescharacteristic
52#16840422C2211yescharacteristic
53#16840422C2211yescharacteristic
54#16840413—21no—
55#16840404—21no—
56#16840404—21no—
57#16840400C2211yescharacteristic
58#16840400C2211yescharacteristic
59D4×D244C2211yescharacteristic
60#16840396—21no—
61#16840313C2211yescharacteristic
62#16840307—21no—
63#126×D61—21no—
64#125×D61—21no—
65#125×D61C2211yescharacteristic, complemented
66#16840275C2211yescharacteristic
67#16840275C2211yescharacteristic
68#16840270—21no—
69#16840270—21no—
70#123×D61—21no—
71C22⋊Q8×D61C2211yescharacteristic, complemented
72C22⋊Q8×D61C2211yescharacteristic, complemented
73C4×#11758224C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic, complemented
75C2×#14519739—21no—
76C4×D4×D61C2211yescharacteristic
77#117×D61—21no—
78#117×D61C2211yescharacteristic, complemented
79C2×C4⋊C4×D61C2211yescharacteristic, complemented
80#16840130C2211yescharacteristic, complemented
81#16840128C2211yescharacteristic, complemented
82#16840127C2211yescharacteristic, complemented
83#16840118C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840118C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840095C2211yescharacteristic, complemented
91#16840091C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic, complemented
96#16840086C2211yescharacteristic, complemented
97#16840081C2211yescharacteristic, complemented
98#16840080C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic, complemented
100#16840077C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840070C2211yescharacteristic, complemented
103#16840068C2211yescharacteristic, complemented
104#16840066C2211yescharacteristic, complemented
105#16840064C2211yescharacteristic, complemented
106#16840062C2211yescharacteristic, complemented
107#16840060C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840018C2211yescharacteristic, complemented
110#16840017C2211yescharacteristic, complemented
111#16840011C2211yescharacteristic, complemented
112#16840010C2211yescharacteristic, complemented
113#16840009C2211yescharacteristic, complemented
114#16840008C2211yescharacteristic, complemented
115#16840002C2211yescharacteristic, complemented
116#16840001C2211yescharacteristic, complemented
117#16840000C2211yescharacteristic, complemented
118#16839994C2211yescharacteristic, complemented
119#16839993C2211yescharacteristic, complemented
120#16839992C2211yescharacteristic, complemented
121#16839991C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839986C2211yescharacteristic, complemented
125#16839986C2211yescharacteristic, complemented
126#16839969C2211yescharacteristic, complemented
127#16839963C2211yescharacteristic, complemented
128#16839962C2211yescharacteristic, complemented
129#16839926C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839924C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839922C2211yescharacteristic, complemented
134#16839922C2211yescharacteristic, complemented
135#16839919C2211yescharacteristic, complemented
136#16839919C2211yescharacteristic, complemented
137#16839916C2211yescharacteristic, complemented
138#16839916C2211yescharacteristic, complemented
139#16839914C2211yescharacteristic, complemented
140#16839914C2211yescharacteristic, complemented
141#16839911C2211yescharacteristic, complemented
142#16839911C2211yescharacteristic, complemented
143#16839870C2211yescharacteristic, complemented
144#16839867C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839856C2211yescharacteristic, complemented
147#16839854C2211yescharacteristic, complemented
148#16839853C2211yescharacteristic, complemented
149SD16×Dic61C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic
155C8×C22⋊D61C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#16839803C2211yescharacteristic, complemented
159#16839801C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839769C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839769C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839765C2211yescharacteristic, complemented
166#16839764C2211yescharacteristic, complemented
167#16839763C2211yescharacteristic, complemented
168#16839762C2211yescharacteristic, complemented
169#16839762C2211yescharacteristic, complemented
170#16839762C2211yescharacteristic, complemented
171#16839762C2211yescharacteristic, complemented
172#16839762C2211yescharacteristic, complemented
173#16839762C2211yescharacteristic, complemented
174#16839761C2211yescharacteristic, complemented
175#16839760C2211yescharacteristic
176#16839760C2211yescharacteristic
177#16839760C2211yescharacteristic
178#16839759C2211yescharacteristic, complemented
179#16839758C2211yescharacteristic, complemented
180#16839756C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187#16839714C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#491C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224C2311yescharacteristic
212#41×D61—24no—
213#41×D61—24no—
214#41×D61—42no—
215#41×D61—42no—
216C2×Q8×D61C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C22×D244—21no—
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61D411yescharacteristic
223C2×D4×D61C2311yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519809—42no—
231#14519809—42no—
232#14519806—24no—
233C2×Dic244C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758190C2311yescharacteristic
238C2×#11758190C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758201C2311yescharacteristic
241C2×#11758201C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758189—42no—
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250M16×D61—42no—
251C22×#92418C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519776—21no—
255#14519774C2311yescharacteristic
256#14519773—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519771—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519769—21no—
265#14519769C2311yescharacteristic
266#14519768—21no—
267#14519768—21no—
268#14519768C2311yescharacteristic
269#14519768C2311yescharacteristic
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519766C2311yescharacteristic
277#14519766C2311yescharacteristic
278#14519763—21no—
279#14519763—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519761—21no—
285#14519760—21no—
286#14519760—21no—
287#14519760—21no—
288#14519759—21no—
289#14519759—21no—
290#14519758—21no—
291#14519757C2311yescharacteristic
292#14519757C2311yescharacteristic
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519754—21no—
302#14519754—21no—
303#14519753C2311yescharacteristic
304#14519753C2311yescharacteristic
305#14519753C2311yescharacteristic
306#14519753C2311yescharacteristic
307#14519752—21no—
308#14519752—21no—
309#14519752C2311yescharacteristic
310#14519752C2311yescharacteristic
311#14519751—21no—
312#14519751C2311yescharacteristic
313#14519751C2311yescharacteristic
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519749—21no—
319#14519749—21no—
320#14519747—21no—
321#14519747—21no—
322#14519747—21no—
323#14519747—21no—
324#14519745—21no—
325#14519745—21no—
326Q8×Dic61C2311yescharacteristic
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61D411yescharacteristic
335D4×Dic61C2311yescharacteristic
336#14519739—21no—
337#14519739—21no—
338#14519739—21no—
339#14519739—21no—
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739—21no—
344#14519739D411yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737D411yescharacteristic
352#14519737D411yescharacteristic
353#14519736—21no—
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367C2×C4⋊Dic61C2311yescharacteristic
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61D411yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C2×#11758198—21no—
383C2×#11758198—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61D411yescharacteristic
388C22⋊C4×D61D411yescharacteristic
389C2×C4×Dic61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#126×C61—21no—
453#125×C61—21no—
454#125×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466#117×C61—21no—
467#117×C61C2311yescharacteristic
468C2×C4⋊C4×C61—21no—
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61—22no—
493#41×C61—41no—
494#41×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61C2411yescharacteristic
507C22×C4×C61C2411yescharacteristic
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61C2×D411yescharacteristic
516C2×C22⋊D61C2×D411yescharacteristic
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61C2×D411yescharacteristic
521C22×Dic61C2×D411yescharacteristic
522#11758226—22no—
523#11758226—22no—
524#11758226—22no—
525#11758226—22no—
526Q8×D61—22no—
527Q8×D61—22no—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—41no—
531Q8×D61—41no—
532#11758224—22no—
533#11758224—44no—
534#11758224—44no—
535#11758224#4114yes—
536D4×D61—22no—
537D4×D61—22no—
538D4×D61—41no—
539D4×D61—41no—
540D4×D61—42no—
541D4×D61—44no—
542D4×D61—44no—
543#11758222—22no—
544#11758222—22no—
545#11758222—41no—
546#11758222—41no—
547#11758222—44no—
548#11758222—44no—
549C2×D244—21no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244—44no—
556C2×D244C2×D411yescharacteristic
557C2×D244C2411yescharacteristic
558C2×D244C2411yescharacteristic
559C2×C4×D61—22no—
560C2×C4×D61—22no—
561C2×C4×D61—22no—
562C2×C4×D61—22no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—44no—
576C2×C4×D61—44no—
577C2×C4×D61—44no—
578C2×C4×D61C2×D411yescharacteristic
579C2×C4×D61C2×D411yescharacteristic
580C2×C4×D61C2×D411yescharacteristic
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2411yescharacteristic
585C2×C4×D61C2411yescharacteristic
586C2×C4×D61C2411yescharacteristic
587C2×Dic122—21no—
588C2×Dic122—21no—
589C2×Dic122—21no—
590C2×Dic122C2411yescharacteristic
591C2×Dic122C2411yescharacteristic
592Q16×C61—41no—
593Q16×C61—41no—
594SD16×C61—22no—
595M16×C61—41no—
596C2×C8×C61—41no—
597C2×C8×C61C2411yescharacteristic
598C2×C8×C61C2411yescharacteristic
599C2×C8×C61C2411yescharacteristic
600C2×C8×C61C2411yescharacteristic
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61C2×D411yescharacteristic
623C22⋊C4×C61C2×D411yescharacteristic
624C42×C61—21no—
625C42×C61—21no—
626C42×C61C2411yescharacteristic
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61C2×D411yescharacteristic
632C22⋊Dic61C2×D411yescharacteristic
633#11758202—22no—
634#11758202—41no—
635#11758202—41no—
636#11758201—41no—
637#11758201—41no—
638#11758200—22no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198C2×D411yescharacteristic
657#11758198C2×D411yescharacteristic
658#11758198C2×D411yescharacteristic
659#11758198C2×D411yescharacteristic
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61C2×D411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670C4⋊Dic61C2411yescharacteristic
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196C2×D411yescharacteristic
691#11758196C2×D411yescharacteristic
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710Dic244—22no—
711#11758190—41no—
712#11758190—41no—
713#11758189—22no—
714#11758189—22no—
715#11758189—22no—
716#11758189—22no—
717#11758189—41no—
718#11758189—41no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61C22×D411yescharacteristic
723C23×C61C22×D411yescharacteristic
724C22×D61—22no—
725C22×D61—22no—
726C22×D61—22no—
727C22×D61—21no—
728C22×D61—21no—
729C22×D61—41no—
730C22×D61—41no—
731C22×D61—41no—
732C22×D61—42no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61—42no—
736C22×D61—81no—
737C22×D61—81no—
738C22×D61C22×D411yescharacteristic
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741Q8×C61—21no—
742Q8×C61—21no—
743Q8×C61—21no—
744Q8×C61—21no—
745Q8×C61—21no—
746Q8×C61—21no—
747D4×C61—21no—
748D4×C61—41no—
749D4×C61—42no—
750D4×C61—42no—
751D4×C61C2×#4112yes—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—42no—
764C2×C4×C61—42no—
765C2×C4×C61—42no—
766C2×C4×C61—42no—
767C2×C4×C61C22×D411yescharacteristic
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C2511yescharacteristic
772C22⋊D61—24no—
773C22⋊D61—22no—
774C22⋊D61—41no—
775C22⋊D61—42no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—81no—
780C22⋊D61—81no—
781C2×Dic61—21no—
782C2×Dic61—22no—
783C2×Dic61—22no—
784C2×Dic61—24no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—42no—
791C2×Dic61—81no—
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795C2×Dic61C22×D411yescharacteristic
796C2×Dic61C22×D411yescharacteristic
797D244—22no—
798D244—21no—
799D244—21no—
800D244—21no—
801D244—21no—
802D244—42no—
803D244—42no—
804D244—42no—
805D244—42no—
806D244—42no—
807D244—81no—
808C4×D61—22no—
809C4×D61—22no—
810C4×D61—21no—
811C4×D61—21no—
812C4×D61—21no—
813C4×D61—21no—
814C4×D61—22no—
815C4×D61—22no—
816C4×D61—41no—
817C4×D61—41no—
818C4×D61—42no—
819C4×D61—42no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—42no—
830C4×D61C2×#4112yes—
831C4×D61H(5,𝔽2)12yes—
832Dic122—21no—
833Dic122—21no—
834Dic122—21no—
835Dic122—42no—
836Dic122—42no—
837Dic122—42no—
838Dic122C2×#4112yes—
839C8×C61—21no—
840C8×C61—21no—
841C8×C61—21no—
842C8×C61—21no—
843#92418—21no—
844#92418—21no—
845#92418—21no—
846#92418—21no—
847#61163—611nomaximal, Sylow
848C22×C61—21no—
849C22×C61—21no—
850C22×C61—22no—
851C22×C61—21no—
852C22×C61—21no—
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61C23×D411yescharacteristic
858C2×D61—21no—
859C2×D61—21no—
860C2×D61—21no—
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—21no—
864C2×D61—21no—
865C2×D61—44no—
866C2×D61—41no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—41no—
871C2×D61—41no—
872C2×D61—82no—
873C2×D61—84no—
874C2×D61—84no—
875C2×D61#54612yes—
876C2×D61#57512yes—
877C4×C61—21no—
878C4×C61—21no—
879C4×C61—21no—
880C4×C61—21no—
881C4×C61—41no—
882C4×C61—41no—
883C4×C61—41no—
884C4×C61—41no—
885C4×C61—41no—
886C4×C61—41no—
887C4×C61—41no—
888C4×C61C22×#4111yescharacteristic
889C4×C61C2×H(5,𝔽2)11yescharacteristic
890Dic61—21no—
891Dic61—22no—
892Dic61—21no—
893Dic61—21no—
894Dic61—21no—
895Dic61—41no—
896Dic61—41no—
897Dic61—41no—
898Dic61—41no—
899Dic61—41no—
900Dic61#54612yes—
901C2×#552—611no—
902D4×#41—611no—
903#3327—611no—
904#3327—611no—
905#3323—611no—
906#3323—611no—
907#3317—611no—
908#3317—611no—
909#3315—611no—
910#3315D6111yescharacteristic, complemented
911#3312—611no—
912#3312—611no—
913#3310—611no—
914#3310—611no—
915#3300—611no—
916#3300—611no—
917#3296—611no—
918#3296—611no—
919#3142—611no—
920#3093—611no—
921#3092—611no—
922#3080—611no—
923#3056—611no—
924#3056—611no—
925#3037—611no—
926#3007—611no—
927#3007—611no—
928C4×#137—611no—
929D4×M16—611no—
930#2896—611no—
931C2×#417—611no—
932C2×C61—41no—
933C2×C61—42no—
934C2×C61—41no—
935C2×C61C2×#54611yescharacteristic
936C2×C61C2×#57511yescharacteristic
937C2×C61#358611yescharacteristic
938D61—22no—
939D61—22no—
940D61—41no—
941D61—81no—
942D61—81no—
943C22×#41—611no—
944C22×#41—611no—
945C2×#137—611no—
946C2×#137—611no—
947C2×#137—611no—
948C22×M16—611no—
949C22×M16—611no—
950#552—611no—
951#552—611no—
952#552—611no—
953#552—611no—
954#552—611no—
955#552—611no—
956#552—611no—
957#552—1221no—
958#552—1221no—
959#552—1221no—
960#552—1221no—
961#552C2×D6111yescharacteristic, complemented
962#550—611no—
963D4×Q8—611no—
964#548—611no—
965#548—611no—
966#547—1221no—
967#547C2×D6111yescharacteristic
968#546—611no—
969#546—611no—
970#546—1221no—
971#546—1221no—
972D42—611no—
973D42—1221no—
974#532—611no—
975#532—1221no—
976C2×#126—1221no—
977C2×#125—611no—
978C2×#125—1221no—
979#525—611no—
980#525—611no—
981#525—1221no—
982#525—1221no—
983C2×#123—1221no—
984C2×C22⋊Q8—611no—
985C2×C22⋊Q8—611no—
986C4×#41—611no—
987C2×C4×Q8—611no—
988C2×C4×D4—611no—
989C2×C4×D4—1221no—
990C2×#117—611no—
991C2×#117—1221no—
992C22×C4⋊C4—611no—
993#491—611no—
994#491C2×D6111yescharacteristic, complemented
995#490—611no—
996#490—611no—
997#488—611no—
998#488—611no—
999#488—611no—
1000#488—611no—
1001#485—611no—
1002#485—611no—
1003#485—611no—
1004#485C2×D6111yescharacteristic, complemented
1005#484—611no—
1006#484C2×D6111yescharacteristic, complemented
1007#483—611no—
1008#483—611no—
1009#482—611no—
1010#482—611no—
1011#482—611no—
1012#482—611no—
1013#481—611no—
1014#481—611no—
1015#480—611no—
1016#480—611no—
1017#479—611no—
1018#479—611no—
1019#479—611no—
1020#479—611no—
1021#478—611no—
1022#478—611no—
1023#478—611no—
1024#478C2×D6111yescharacteristic, complemented
1025#470—611no—
1026#470—611no—
1027#470—611no—
1028#470C2×D6111yescharacteristic, complemented
1029#468—611no—
1030#468—611no—
1031#468—611no—
1032#468—611no—
1033#467—611no—
1034#467—611no—
1035#467—611no—
1036#467C2×D6111yescharacteristic, complemented
1037#465—611no—
1038#465—611no—
1039#465—611no—
1040#465—611no—
1041#464—611no—
1042#464—611no—
1043#464—611no—
1044#464—611no—
1045#462—611no—
1046#462C2×D6111yescharacteristic, complemented
1047#460—611no—
1048#460—611no—
1049#452—611no—
1050#452—611no—
1051#452—611no—
1052#452—611no—
1053#452—611no—
1054#452—611no—
1055#452C2×D6111yescharacteristic, complemented
1056#452C2×D6111yescharacteristic, complemented
1057#451—611no—
1058#451—611no—
1059#451—611no—
1060#451—611no—
1061#450—611no—
1062#450—611no—
1063#450—611no—
1064#450—611no—
1065#441—611no—
1066#441—611no—
1067#440—611no—
1068#440C2×D6111yescharacteristic, complemented
1069C4×Q16—611no—
1070C4×Q16—611no—
1071C4×SD16—611no—
1072C4×SD16—611no—
1073#436—611no—
1074#436—611no—
1075#435—611no—
1076#435—611no—
1077#435—611no—
1078#435C2×D6111yescharacteristic, complemented
1079C8×D4—611no—
1080C8×D4—611no—
1081#428—611no—
1082#428—611no—
1083#428—611no—
1084#423—611no—
1085#419—611no—
1086#419—611no—
1087#419—611no—
1088#418—611no—
1089#418—611no—
1090#417—611no—
1091#417—611no—
1092#417—611no—
1093#417—611no—
1094#417—611no—
1095#417—611no—
1096#417—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417—611no—
1102#417C2×D6111yescharacteristic, complemented
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416C2×D6111yescharacteristic, complemented
1107C2×#103—611no—
1108C2×#103—611no—
1109C2×#102—611no—
1110C2×#102—611no—
1111#407—611no—
1112#407—611no—
1113C4×M16—611no—
1114C61#6116311yescharacteristic, complemented, Sylow
1115C2×#41—611no—
1116C2×#41—611no—
1117C2×#41—611no—
1118C2×#41—611no—
1119C2×#41—611no—
1120C2×#41—1221no—
1121C2×#41—1221no—
1122C2×#41—1221no—
1123C2×#41—1221no—
1124C2×#41—1224no—
1125C2×#41—1224no—
1126C2×#41—2442no—
1127C2×#41—2442no—
1128C2×#41C22×D6111yescharacteristic
1129C2×#41C22×D6111yescharacteristic
1130C22×Q8—611no—
1131C22×Q8—611no—
1132C22×Q8—611no—
1133C22×D4—611no—
1134C22×D4—611no—
1135C22×D4—611no—
1136C22×D4—1221no—
1137C22×D4—1221no—
1138C22×D4—1221no—
1139C23×C4—611no—
1140C23×C4—611no—
1141C23×C4—1221no—
1142C23×C4—1221no—
1143C23×C4—1221no—
1144#137—1224no—
1145#137—2442no—
1146#137—2442no—
1147C2×Q16—611no—
1148C2×Q16—611no—
1149C2×Q16—611no—
1150C2×Q16—611no—
1151C2×Q16C22×D6111yescharacteristic
1152C2×Q16C22×D6111yescharacteristic
1153C2×SD16—611no—
1154C2×SD16—611no—
1155C2×SD16—611no—
1156C2×SD16—611no—
1157C2×SD16—611no—
1158C2×SD16C22×D6111yescharacteristic
1159C2×M16—611no—
1160C2×M16—611no—
1161C2×M16—611no—
1162C2×M16—611no—
1163C2×M16—611no—
1164C2×M16—611no—
1165C2×M16—611no—
1166C2×M16—2442no—
1167C2×M16—2442no—
1168C2×M16C22×D6111yescharacteristic
1169C22×C8—611no—
1170C22×C8—611no—
1171C22×C8—611no—
1172C22×C8C22×D6111yescharacteristic
1173C4⋊Q8—1221no—
1174C4⋊Q8C22×D6111yescharacteristic
1175#127—611no—
1176#127—1221no—
1177#126—21no—
1178#126—1221no—
1179#126—1221no—
1180#126—1221no—
1181#126—1221no—
1182#126—1221no—
1183#126—1221no—
1184#126—1221no—
1185#125—21no—
1186#125—611no—
1187#125—611no—
1188#125—611no—
1189#125—1221no—
1190#125—1221no—
1191#125—1221no—
1192#125—1221no—
1193#125—1221no—
1194#125—1221no—
1195#125—1221no—
1196#125—1221no—
1197#125—1221no—
1198#125C22×D6111yescharacteristic
1199#124—611no—
1200#124—611no—
1201#124—1221no—
1202#124—1221no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217C22⋊Q8—611no—
1218C22⋊Q8—611no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8C22×D6111yescharacteristic
1234C22⋊Q8C22×D6111yescharacteristic
1235C22⋊Q8C22×D6111yescharacteristic
1236C22⋊Q8C22×D6111yescharacteristic
1237#121—21no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8C22×D6111yescharacteristic
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4C22×D6111yescharacteristic
1286C4×D4C22×D6111yescharacteristic
1287#117—21no—
1288#117—611no—
1289#117—611no—
1290#117—611no—
1291#117—611no—
1292#117—1221no—
1293#117—1221no—
1294#117—1221no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117C22×D6111yescharacteristic
1303C2×C4⋊C4—21no—
1304C2×C4⋊C4—611no—
1305C2×C4⋊C4—611no—
1306C2×C4⋊C4—611no—
1307C2×C4⋊C4—611no—
1308C2×C4⋊C4—611no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—611no—
1311C2×C4⋊C4—1221no—
1312C2×C4⋊C4—1221no—
1313C2×C4⋊C4—1221no—
1314C2×C4⋊C4—1221no—
1315C2×C4⋊C4—1221no—
1316C2×C4⋊C4—1221no—
1317C2×C4⋊C4—1221no—
1318C2×C4⋊C4—1221no—
1319C2×C4⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4—611no—
1321C2×C22⋊C4—611no—
1322C2×C22⋊C4—1221no—
1323C2×C22⋊C4—1221no—
1324C2×C22⋊C4—1221no—
1325C2×C22⋊C4—1221no—
1326C2×C22⋊C4—1221no—
1327C2×C42—611no—
1328C2×C42—1221no—
1329C2×C42—1221no—
1330C2×C42—1221no—
1331#107—611no—
1332#107—611no—
1333#107—611no—
1334#107—611no—
1335#107C22×D6111yescharacteristic
1336#107C22×D6111yescharacteristic
1337#106—611no—
1338#106—611no—
1339#106—611no—
1340#106—611no—
1341#106—611no—
1342#106C22×D6111yescharacteristic
1343C4⋊C8—611no—
1344C4⋊C8—611no—
1345C4⋊C8—611no—
1346C4⋊C8C22×D6111yescharacteristic
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103C22×D6111yescharacteristic
1363#103C22×D6111yescharacteristic
1364#103C22×D6111yescharacteristic
1365#103C22×D6111yescharacteristic
1366#103C22×D6111yescharacteristic
1367#103C22×D6111yescharacteristic
1368#103C22×D6111yescharacteristic
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102—611no—
1373#102—611no—
1374#102—611no—
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102C22×D6111yescharacteristic
1385#102C22×D6111yescharacteristic
1386#102C22×D6111yescharacteristic
1387C22⋊C8—611no—
1388C22⋊C8—611no—
1389C22⋊C8—611no—
1390C22⋊C8—611no—
1391C22⋊C8—611no—
1392C22⋊C8—611no—
1393C22⋊C8C22×D6111yescharacteristic
1394C22⋊C8C22×D6111yescharacteristic
1395#97—611no—
1396#97C22×D6111yescharacteristic
1397C4×C8—611no—
1398C4×C8—611no—
1399C24—611no—
1400C24—611no—
1401C24—1221no—
1402C24—1221no—
1403#41—22no—
1404#41—22no—
1405#41—41no—
1406#41—41no—
1407#41—614no—
1408#41—1222no—
1409#41—1222no—
1410#41—1222no—
1411#41—1222no—
1412#41—1222no—
1413#41—1222no—
1414#41—1222no—
1415#41—2441no—
1416#41—2441no—
1417#41—2444no—
1418#41—2444no—
1419#41—2444no—
1420#41—2444no—
1421C2×Q8—611no—
1422C2×Q8—611no—
1423C2×Q8—1221no—
1424C2×Q8—1221no—
1425C2×Q8—1221no—
1426C2×Q8—1222no—
1427C2×Q8—1222no—
1428C2×Q8—1222no—
1429C2×Q8—1222no—
1430C2×Q8—2441no—
1431C2×Q8—2441no—
1432C2×Q8C23×D6111yescharacteristic
1433C2×Q8C23×D6111yescharacteristic
1434C2×Q8C23×D6111yescharacteristic
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—611no—
1438C2×D4—611no—
1439C2×D4—611no—
1440C2×D4—611no—
1441C2×D4—611no—
1442C2×D4—1221no—
1443C2×D4—1221no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—1222no—
1450C2×D4—1222no—
1451C2×D4—1221no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—2444no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2442no—
1461C2×D4—2444no—
1462C2×D4—2444no—
1463C2×D4D4×D6111yescharacteristic
1464C2×D4C23×D6111yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—611no—
1470C22×C4—611no—
1471C22×C4—611no—
1472C22×C4—611no—
1473C22×C4—611no—
1474C22×C4—611no—
1475C22×C4—611no—
1476C22×C4—611no—
1477C22×C4—611no—
1478C22×C4—611no—
1479C22×C4—611no—
1480C22×C4—1222no—
1481C22×C4—1222no—
1482C22×C4—1222no—
1483C22×C4—1222no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—1221no—
1488C22×C4—1221no—
1489C22×C4—1221no—
1490C22×C4—1221no—
1491C22×C4—1221no—
1492C22×C4—1221no—
1493C22×C4—1221no—
1494C22×C4—1221no—
1495C22×C4—1221no—
1496C22×C4—1221no—
1497C22×C4—1221no—
1498C22×C4—1221no—
1499C22×C4—2444no—
1500C22×C4—2444no—
1501C22×C4—2444no—
1502C22×C4C23×D6111yescharacteristic
1503C22×C4C23×D6111yescharacteristic
1504Q16—41no—
1505Q16—41no—
1506Q16—1222no—
1507Q16—1222no—
1508Q16—2441no—
1509Q16—2441no—
1510SD16—22no—
1511SD16—1222no—
1512SD16—2441no—
1513SD16—2441no—
1514SD16—2441no—
1515SD16—2441no—
1516M16—41no—
1517M16—1222no—
1518M16—1222no—
1519M16—1222no—
1520M16—1222no—
1521M16—2441no—
1522M16—2441no—
1523M16—2441no—
1524C2×C8—41no—
1525C2×C8—611no—
1526C2×C8—611no—
1527C2×C8—611no—
1528C2×C8—611no—
1529C2×C8—2441no—
1530C2×C8—2441no—
1531C2×C8—2441no—
1532C2×C8C23×D6111yescharacteristic
1533C2×C8C23×D6111yescharacteristic
1534C2×C8C23×D6111yescharacteristic
1535C2×C8C23×D6111yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—611no—
1547C4⋊C4—611no—
1548C4⋊C4—611no—
1549C4⋊C4—611no—
1550C4⋊C4—611no—
1551C4⋊C4—611no—
1552C4⋊C4—611no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4D4×D6111yescharacteristic
1579C4⋊C4C23×D6111yescharacteristic
1580C4⋊C4C23×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—611no—
1590C22⋊C4—611no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4D4×D6111yescharacteristic
1617C22⋊C4D4×D6111yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—611no—
1621C42—611no—
1622C42—611no—
1623C42—1221no—
1624C42—1221no—
1625C42—1221no—
1626C42—1221no—
1627C42—1221no—
1628C42—1221no—
1629C42—1221no—
1630C42—1221no—
1631C42—1221no—
1632C42C23×D6111yescharacteristic
1633C23—21no—
1634C23—611no—
1635C23—611no—
1636C23—611no—
1637C23—1222no—
1638C23—1222no—
1639C23—1222no—
1640C23—1221no—
1641C23—1221no—
1642C23—4881no—
1643C23—4881no—
1644C23—2441no—
1645C23—2441no—
1646C23—2441no—
1647C23—2442no—
1648C23—2442no—
1649C23—2442no—
1650C23—2442no—
1651C23C2×D4×D6111yescharacteristic
1652C23C2×D4×D6111yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—21no—
1658Q8—21no—
1659Q8—612no—
1660Q8—1221no—
1661Q8—1221no—
1662Q8—1221no—
1663Q8—2442no—
1664Q8—2442no—
1665Q8—2442no—
1666D4—21no—
1667D4—41no—
1668D4—42no—
1669D4—42no—
1670D4—1222no—
1671D4—1222no—
1672D4—1224no—
1673D4—1221no—
1674D4—1221no—
1675D4—1221no—
1676D4—1221no—
1677D4—4881no—
1678D4—4881no—
1679D4—4881no—
1680D4—2442no—
1681D4—2442no—
1682D4—2442no—
1683D4—2442no—
1684D4—2442no—
1685D4—2441no—
1686D4—2442no—
1687D4—2442no—
1688D4—2442no—
1689D4—2442no—
1690D4#41×D6112yes—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—611no—
1707C2×C4—612no—
1708C2×C4—612no—
1709C2×C4—611no—
1710C2×C4—611no—
1711C2×C4—611no—
1712C2×C4—611no—
1713C2×C4—1222no—
1714C2×C4—1222no—
1715C2×C4—1222no—
1716C2×C4—1222no—
1717C2×C4—1222no—
1718C2×C4—1222no—
1719C2×C4—1224no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—4881no—
1731C2×C4—2441no—
1732C2×C4—2441no—
1733C2×C4—2442no—
1734C2×C4—2442no—
1735C2×C4—2442no—
1736C2×C4—2442no—
1737C2×C4—2442no—
1738C2×C4—2442no—
1739C2×C4—2442no—
1740C2×C4—2442no—
1741C2×C4—2442no—
1742C2×C4—2442no—
1743C2×C4—2442no—
1744C2×C4—2442no—
1745C2×C4—2442no—
1746C2×C4C2×D4×D6111yescharacteristic
1747C2×C4C2×D4×D6111yescharacteristic
1748C2×C4C2×D4×D6111yescharacteristic
1749C2×C4C2×D4×D6111yescharacteristic
1750C2×C4C24×D6111yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1221no—
1756C8—1221no—
1757C8—1221no—
1758C8—1221no—
1759C22—21no—
1760C22—21no—
1761C22—22no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—21no—
1766C22—41no—
1767C22—41no—
1768C22—612no—
1769C22—612no—
1770C22—1221no—
1771C22—1221no—
1772C22—1221no—
1773C22—1221no—
1774C22—1221no—
1775C22—1221no—
1776C22—1221no—
1777C22—4884no—
1778C22—4882no—
1779C22—4884no—
1780C22—2444no—
1781C22—2441no—
1782C22—2441no—
1783C22—2441no—
1784C22—2441no—
1785C22—2441no—
1786C22—2441no—
1787C22C22×D4×D6111yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—612no—
1800C4—1221no—
1801C4—1221no—
1802C4—1222no—
1803C4—1221no—
1804C4—1221no—
1805C4—2441no—
1806C4—2441no—
1807C4—2441no—
1808C4—2441no—
1809C4—2441no—
1810C4C2×#41×D6111yescharacteristic
1811C4H(5,𝔽2)×D6111yescharacteristic
1812C2—41no—
1813C2—41no—
1814C2—42no—
1815C2—1222no—
1816C2—1222no—
1817C2—4881no—
1818C2—4881no—
1819C2—2441no—
1820C2#546×D6111yescharacteristic
1821C2#575×D6111yescharacteristic
1822C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3315C2
socleC22×C61C23×D4
prime radical#21459306C2
hypercenter#3315D61
hypocenterC61#61163
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #552×D61C2semidirect
3. #21458090C2semidirect
4. #21458082C2semidirect
5. #21458036C2semidirect
6. #21458028C2semidirect
7. #21457947C2semidirect
8. #21457939C2semidirect
9. #21457915C2semidirect
10. #21457877C2semidirect
11. #21457869C2semidirect
12. #21457845C2semidirect
13. #21457837C2semidirect
14. #21457709C2semidirect
15. #21457701C2semidirect
16. #21457655C2semidirect
17. #21457647C2semidirect
18. #21456221C2semidirect
19. #21455751C2semidirect
20. #21455746C2semidirect
21. #21455636C2semidirect
22. #21455448C2semidirect
23. #21455446C2semidirect
24. #21455292C2semidirect
25. #21455076C2semidirect
26. #21455076C2semidirect
27. #21454641C2semidirect
28. #21454552C2semidirect
29. #21454334C2semidirect
30. #417×D61C2semidirect
31. C61×#3315C2semidirect
34. C2×#14519809C22semidirect
35. C2×#14519809C22semidirect
37. C22×#11758189C22semidirect
38. C2×M16×D61C22semidirect
39. #16840454C22semidirect
41. #16840452C22semidirect
42. #16840451C22semidirect
46. #16840447C22semidirect
47. #16840446C22semidirect
65. #125×D61C22semidirect
71. C22⋊Q8×D61C22semidirect
72. C22⋊Q8×D61C22semidirect
74. C4×Q8×D61C22semidirect
78. #117×D61C22semidirect
79. C2×C4⋊C4×D61C22semidirect
80. #16840130C22semidirect
81. #16840128C22semidirect
82. #16840127C22semidirect
83. #16840118C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840118C22semidirect
87. #16840102C22semidirect
88. #16840101C22semidirect
89. #16840100C22semidirect
90. #16840095C22semidirect
91. #16840091C22semidirect
92. #16840091C22semidirect
93. #16840089C22semidirect
94. #16840088C22semidirect
95. #16840087C22semidirect
96. #16840086C22semidirect
97. #16840081C22semidirect
98. #16840080C22semidirect
99. #16840077C22semidirect
100. #16840077C22semidirect
101. #16840072C22semidirect
102. #16840070C22semidirect
103. #16840068C22semidirect
104. #16840066C22semidirect
105. #16840064C22semidirect
106. #16840062C22semidirect
107. #16840060C22semidirect
108. #16840019C22semidirect
109. #16840018C22semidirect
110. #16840017C22semidirect
111. #16840011C22semidirect
112. #16840010C22semidirect
113. #16840009C22semidirect
114. #16840008C22semidirect
115. #16840002C22semidirect
116. #16840001C22semidirect
117. #16840000C22semidirect
118. #16839994C22semidirect
119. #16839993C22semidirect
120. #16839992C22semidirect
121. #16839991C22semidirect
122. #16839987C22semidirect
123. #16839987C22semidirect
124. #16839986C22semidirect
125. #16839986C22semidirect
126. #16839969C22semidirect
127. #16839963C22semidirect
128. #16839962C22semidirect
129. #16839926C22semidirect
130. #16839926C22semidirect
131. #16839924C22semidirect
132. #16839924C22semidirect
133. #16839922C22semidirect
134. #16839922C22semidirect
135. #16839919C22semidirect
136. #16839919C22semidirect
137. #16839916C22semidirect
138. #16839916C22semidirect
139. #16839914C22semidirect
140. #16839914C22semidirect
141. #16839911C22semidirect
142. #16839911C22semidirect
143. #16839870C22semidirect
144. #16839867C22semidirect
145. #16839862C22semidirect
146. #16839856C22semidirect
147. #16839854C22semidirect
148. #16839853C22semidirect
149. SD16×Dic61C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
153. #16839834C22semidirect
155. C8×C22⋊D61C22semidirect
156. #16839825C22semidirect
157. #16839803C22semidirect
158. #16839803C22semidirect
159. #16839801C22semidirect
160. #16839784C22semidirect
161. #16839769C22semidirect
162. #16839769C22semidirect
163. #16839769C22semidirect
164. #16839765C22semidirect
165. #16839765C22semidirect
166. #16839764C22semidirect
167. #16839763C22semidirect
168. #16839762C22semidirect
169. #16839762C22semidirect
170. #16839762C22semidirect
171. #16839762C22semidirect
172. #16839762C22semidirect
173. #16839762C22semidirect
174. #16839761C22semidirect
178. #16839759C22semidirect
179. #16839758C22semidirect
180. #16839756C22semidirect
181. #103×D61C22semidirect
182. #103×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. #16839724C22semidirect
186. #16839724C22semidirect
187. #16839714C22semidirect
188. C61×#552C22semidirect
190. C61×#491C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
193. C61×#478C22semidirect
194. C61×#470C22semidirect
195. C61×#467C22semidirect
196. C61×#462C22semidirect
197. C61×#452C22semidirect
198. C61×#452C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
910. #3315D61semidirect
961. #552C2×D61semidirect
994. #491C2×D61semidirect
1004. #485C2×D61semidirect
1006. #484C2×D61semidirect
1024. #478C2×D61semidirect
1028. #470C2×D61semidirect
1036. #467C2×D61semidirect
1046. #462C2×D61semidirect
1055. #452C2×D61semidirect
1056. #452C2×D61semidirect
1068. #440C2×D61semidirect
1078. #435C2×D61semidirect
1102. #417C2×D61semidirect
1106. #416C2×D61semidirect
1114. C61#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D612
#214593062
#214580902
#214580822
#214580362
#214580282
#214579472
#214579392
#214579152
#214578772
#214578692
#214578452
#214578372
#214577092
#214577012
#214576552
#214576472
#214562212
#214557512
#214557462
#214556362
#214554482
#214554462
#214552922
#214550762
#214546412
#214545522
#214543342
#417×D612
C61×#33152
#6116361