Finite Group Databasebeta

← #30556789

Subgroups — #30556789

Order 15616.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459372C211yesmaximal, characteristic, complemented
2#21459306C211yesmaximal, characteristic, complemented
3#21458003C211yesmaximal, characteristic, complemented
4#21457989C211yesmaximal, characteristic, complemented
5#21457971C211yesmaximal, characteristic, complemented
6#21457957C211yesmaximal, characteristic, complemented
7#21457939C211yesmaximal, characteristic, complemented
8#21457925C211yesmaximal, characteristic, complemented
9#21457893C211yesmaximal, characteristic, complemented
10#21457891C211yesmaximal, characteristic, complemented
11#21457877C211yesmaximal, characteristic, complemented
12#21457859C211yesmaximal, characteristic, complemented
13#21457845C211yesmaximal, characteristic, complemented
14#21457827C211yesmaximal, characteristic, complemented
15#21457813C211yesmaximal, characteristic, complemented
16#21457795C211yesmaximal, characteristic, complemented
17#21457781C211yesmaximal, characteristic, complemented
18#21456166C211yesmaximal, characteristic, complemented
19#21455737C211yesmaximal, characteristic, complemented
20#21455735C211yesmaximal, characteristic, complemented
21#21455604C211yesmaximal, characteristic, complemented
22#21455430C211yesmaximal, characteristic, complemented
23#21455402C211yesmaximal, characteristic, complemented
24#21455277C211yesmaximal, characteristic, complemented
25#21455040C211yesmaximal, characteristic, complemented
26#21455040C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#21454335C211yesmaximal, characteristic, complemented
30#416×D61C211yesmaximal, characteristic, complemented
31C61×#3315C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519800C2211yescharacteristic, complemented
35C2×#14519800C2211yescharacteristic, complemented
36C2×#14519798C2211yescharacteristic
37C2×M16×D61C2211yescharacteristic, complemented
38C22×C8×D61C2211yescharacteristic, complemented
39#16840483C2211yescharacteristic, complemented
40#16840475C2211yescharacteristic, complemented
41#16840470C2211yescharacteristic, complemented
42#16840465C2211yescharacteristic
43#16840458C2211yescharacteristic, complemented
44#16840453C2211yescharacteristic
45#16840444—21no—
46#16840437—21no—
47#16840436—21no—
48#16840433C2211yescharacteristic
49#16840427C2211yescharacteristic
50#16840422C2211yescharacteristic
51#16840422C2211yescharacteristic
52#16840413—21no—
53#16840413C2211yescharacteristic, complemented
54#16840404—21no—
55#16840404—21no—
56#16840404—21no—
57#16840400C2211yescharacteristic
58#16840400C2211yescharacteristic
59D4×D244C2211yescharacteristic
60#16840396—21no—
61#16840318C2211yescharacteristic, complemented
62#16840313C2211yescharacteristic
63#16840307—21no—
64#16840297—21no—
65#16840295—21no—
66#16840289—21no—
67#16840275C2211yescharacteristic
68#16840275C2211yescharacteristic
69#16840275C2211yescharacteristic, complemented
70#16840275C2211yescharacteristic, complemented
71#16840270—21no—
72#16840270—21no—
73C4×#11758226C2211yescharacteristic, complemented
74#16840230—21no—
75C4×#11758224C2211yescharacteristic
76C2×#14519739—21no—
77C4×D4×D61C2211yescharacteristic
78C2×#14519735C2211yescharacteristic, complemented
79#117×D61C2211yescharacteristic, complemented
80#16840130C2211yescharacteristic, complemented
81#16840128C2211yescharacteristic, complemented
82#16840127C2211yescharacteristic, complemented
83#16840123C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic, complemented
85#16840123C2211yescharacteristic, complemented
86#16840123C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840102C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840091C2211yescharacteristic, complemented
92#16840090C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic, complemented
96#16840086C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic, complemented
98#16840080C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic, complemented
100#16840076C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840062C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840050C2211yescharacteristic, complemented
106#16840046C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840017C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic, complemented
110#16840015C2211yescharacteristic, complemented
111#16840011C2211yescharacteristic, complemented
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840010C2211yescharacteristic, complemented
115#16840000C2211yescharacteristic, complemented
116#16839999C2211yescharacteristic, complemented
117#16839998C2211yescharacteristic, complemented
118#16839994C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839993C2211yescharacteristic, complemented
122#16839986C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839980C2211yescharacteristic, complemented
125#16839980C2211yescharacteristic, complemented
126#16839964C2211yescharacteristic, complemented
127#16839962C2211yescharacteristic, complemented
128#16839958C2211yescharacteristic, complemented
129#16839922C2211yescharacteristic, complemented
130#16839922C2211yescharacteristic, complemented
131#16839916C2211yescharacteristic, complemented
132#16839916C2211yescharacteristic, complemented
133#16839911C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic, complemented
135#16839909C2211yescharacteristic, complemented
136#16839909C2211yescharacteristic, complemented
137#16839907C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839902C2211yescharacteristic, complemented
140#16839902C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic, complemented
142#16839897C2211yescharacteristic, complemented
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147#16839864C2211yescharacteristic, complemented
148#16839863C2211yescharacteristic, complemented
149#16839861C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#16839799C2211yescharacteristic, complemented
158#16839799C2211yescharacteristic, complemented
159#16839797C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839769C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839765C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839764C2211yescharacteristic, complemented
166#16839763C2211yescharacteristic, complemented
167#16839761C2211yescharacteristic, complemented
168#16839759C2211yescharacteristic, complemented
169#16839758C2211yescharacteristic, complemented
170#16839757C2211yescharacteristic, complemented
171#16839757C2211yescharacteristic, complemented
172#16839757C2211yescharacteristic, complemented
173#16839757C2211yescharacteristic, complemented
174#16839757C2211yescharacteristic, complemented
175#16839757C2211yescharacteristic, complemented
176#16839757C2211yescharacteristic, complemented
177#16839756C2211yescharacteristic, complemented
178#16839755C2211yescharacteristic
179#16839755C2211yescharacteristic
180#16839755C2211yescharacteristic
181#103×D61C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, 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×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224C2311yescharacteristic
214#41×D61—24no—
215#41×D61—24no—
216#41×D61—42no—
217#41×D61—42no—
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C22×D244—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61D411yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C2×D4×D61C2311yescharacteristic
226C22×C4×D61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519800—42no—
231#14519800—42no—
232#14519798—24no—
233C2×#11758202C2311yescharacteristic
234C2×#11758190C2311yescharacteristic
235C2×#11758201C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×D488C2311yescharacteristic
240C2×D488C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245M16×D61—42no—
246C22×#92418C2311yescharacteristic
247C2×C8×D61—42no—
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519776—21no—
255#14519776C2311yescharacteristic
256#14519776C2311yescharacteristic
257#14519774C2311yescharacteristic
258#14519773—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519771—21no—
263#14519770—21no—
264#14519769C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519766C2311yescharacteristic
268#14519766C2311yescharacteristic
269#14519765—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519760—21no—
282#14519760—21no—
283#14519760—21no—
284#14519759—21no—
285#14519757—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519754—21no—
294#14519753C2311yescharacteristic
295#14519753C2311yescharacteristic
296#14519753C2311yescharacteristic
297#14519753C2311yescharacteristic
298#14519752—21no—
299#14519752—21no—
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519752C2311yescharacteristic
305#14519751—21no—
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519751C2311yescharacteristic
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519747—21no—
319#14519747—21no—
320#14519747—21no—
321#14519747—21no—
322#14519747—21no—
323#14519747—21no—
324#14519745—21no—
325#14519745—21no—
326Q8×Dic61C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335D4×Dic61D411yescharacteristic
336D4×Dic61C2311yescharacteristic
337#14519739—21no—
338#14519739—21no—
339#14519739—21no—
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739—21no—
344#14519739—21no—
345#14519739—21no—
346#14519739—21no—
347#14519739—21no—
348#14519739—21no—
349#14519739D411yescharacteristic
350#14519739C2311yescharacteristic
351C4×C22⋊D61—21no—
352C4×C22⋊D61C2311yescharacteristic
353C4×C22⋊D61C2311yescharacteristic
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737D411yescharacteristic
362#14519737D411yescharacteristic
363#14519736C2311yescharacteristic
364#14519735—21no—
365#14519735—21no—
366#14519735—21no—
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519734—21no—
374#14519734—21no—
375#14519734—21no—
376#14519733—21no—
377#14519733—21no—
378C2×C4⋊Dic61C2311yescharacteristic
379C4⋊C4×D61D411yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C2×#11758198—21no—
383C2×#11758198—21no—
384C2×#11758198—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61D411yescharacteristic
387C22⋊C4×D61D411yescharacteristic
388C2×C4×Dic61—21no—
389C2×C4×Dic61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
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
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
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⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61C2×D411yescharacteristic
518C2×C22⋊D61C2×D411yescharacteristic
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61C2×D411yescharacteristic
523C22×Dic61C2×D411yescharacteristic
524#11758226—22no—
525#11758226—22no—
526#11758226—22no—
527#11758226—22no—
528#11758226—22no—
529#11758226—22no—
530Q8×D61—22no—
531Q8×D61—22no—
532Q8×D61—41no—
533Q8×D61—41no—
534#11758224—22no—
535#11758224—44no—
536#11758224—44no—
537#11758224#4114yescomplemented
538D4×D61—22no—
539D4×D61—22no—
540D4×D61—41no—
541D4×D61—41no—
542D4×D61—42no—
543D4×D61—44no—
544D4×D61—44no—
545#11758222—22no—
546#11758222—22no—
547#11758222—41no—
548#11758222—41no—
549#11758222—44no—
550#11758222—44no—
551#11758222—44no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244—21no—
556C2×D244—21no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—21no—
560C2×D244—21no—
561C2×D244—44no—
562C2×D244C2×D411yescharacteristic
563C2×D244C2411yescharacteristic
564C2×D244C2411yescharacteristic
565C2×D244C2411yescharacteristic
566C2×C4×D61—22no—
567C2×C4×D61—22no—
568C2×C4×D61—22no—
569C2×C4×D61—22no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—44no—
582C2×C4×D61—44no—
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2×D411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×C4×D61C2411yescharacteristic
591C2×C4×D61C2411yescharacteristic
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—21no—
595C2×Dic122—21no—
596C2×Dic122C2411yescharacteristic
597Q16×C61—41no—
598Q16×C61—41no—
599SD16×C61—22no—
600M16×C61—41no—
601C2×C8×C61—41no—
602C2×C8×C61C2411yescharacteristic
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61C2×D411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61C2×D411yescharacteristic
628C22⋊C4×C61C2×D411yescharacteristic
629C42×C61—21no—
630C42×C61—21no—
631C42×C61C2411yescharacteristic
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61C2×D411yescharacteristic
635C22⋊Dic61C2×D411yescharacteristic
636#11758202—22no—
637#11758201—41no—
638#11758201—41no—
639#11758201—41no—
640#11758201—41no—
641#11758199—22no—
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#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#11758198C2×D411yescharacteristic
667#11758198C2×D411yescharacteristic
668#11758198C2×D411yescharacteristic
669#11758198C2×D411yescharacteristic
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61C2×D411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
690#11758196C2×D411yescharacteristic
691C4×Dic61—21no—
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
710D488—41no—
711D488—41no—
712#11758190—22no—
713#11758189—41no—
714#11758189—41no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—22no—
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—21no—
730C22×D61—41no—
731C22×D61—41no—
732C22×D61—41no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61—42no—
736C22×D61—42no—
737C22×D61—81no—
738C22×D61—81no—
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741C22×D61C22×D411yescharacteristic
742Q8×C61—21no—
743Q8×C61—21no—
744Q8×C61—21no—
745Q8×C61—21no—
746Q8×C61—21no—
747Q8×C61—21no—
748D4×C61—21no—
749D4×C61—41no—
750D4×C61—42no—
751D4×C61—42no—
752D4×C61C2×#4112yes—
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—21no—
764C2×C4×C61—42no—
765C2×C4×C61—42no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C2511yescharacteristic
773C22⋊D61—24no—
774C22⋊D61—22no—
775C22⋊D61—41no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—81no—
782C22⋊D61—81no—
783C22⋊D61—81no—
784C2×Dic61—21no—
785C2×Dic61—22no—
786C2×Dic61—22no—
787C2×Dic61—24no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—81no—
793C2×Dic61—81no—
794C2×Dic61C22×D411yescharacteristic
795C2×Dic61C22×D411yescharacteristic
796C2×Dic61C22×D411yescharacteristic
797C2×Dic61C22×D411yescharacteristic
798C2×Dic61C22×D411yescharacteristic
799D244—22no—
800D244—21no—
801D244—21no—
802D244—21no—
803D244—21no—
804D244—21no—
805D244—21no—
806D244—42no—
807D244—42no—
808D244—42no—
809D244—42no—
810D244—42no—
811D244—42no—
812D244—42no—
813D244—81no—
814D244—81no—
815C4×D61—22no—
816C4×D61—22no—
817C4×D61—21no—
818C4×D61—21no—
819C4×D61—21no—
820C4×D61—21no—
821C4×D61—22no—
822C4×D61—22no—
823C4×D61—41no—
824C4×D61—41no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—81no—
835C4×D61—81no—
836C4×D61C2×#4112yes—
837C4×D61H(5,𝔽2)12yes—
838Dic122—21no—
839Dic122—42no—
840Dic122—42no—
841Dic122—42no—
842Dic122—81no—
843Dic122C2×#4112yes—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61141—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—22no—
856C22×C61—21no—
857C22×C61—21no—
858C22×C61—21no—
859C22×C61—21no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61C23×D411yescharacteristic
863C2×D61—21no—
864C2×D61—21no—
865C2×D61—21no—
866C2×D61—21no—
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—44no—
871C2×D61—41no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—82no—
881C2×D61—84no—
882C2×D61—84no—
883C2×D61#54612yes—
884C2×D61#57512yes—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—21no—
888C4×C61—21no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61—41no—
896C4×C61C22×#4111yescharacteristic
897C4×C61C2×H(5,𝔽2)11yescharacteristic
898Dic61—21no—
899Dic61—22no—
900Dic61—21no—
901Dic61—21no—
902Dic61—21no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61—41no—
907Dic61#54612yes—
908#3475—611no—
909D4×#41—611no—
910#3321—611no—
911#3320—611no—
912#3319—611no—
913#3318—611no—
914#3317—611no—
915#3316—611no—
916#3315D6111yescharacteristic, complemented
917#3314—611no—
918#3313—611no—
919#3312—611no—
920#3311—611no—
921#3310—611no—
922#3309—611no—
923#3308—611no—
924#3307—611no—
925#3306—611no—
926#3135—611no—
927#3091—611no—
928#3091—611no—
929#3076—611no—
930#3054—611no—
931#3050—611no—
932#3035—611no—
933#3002—611no—
934#3002—611no—
935#2943—611no—
936C2×#435—611no—
937#2896—611no—
938C2×#416—611no—
939C2×C61—41no—
940C2×C61—42no—
941C2×C61—41no—
942C2×C61C2×#54611yescharacteristic
943C2×C61C2×#57511yescharacteristic
944C2×C61#358411yescharacteristic
945D61—22no—
946D61—22no—
947D61—41no—
948D61—81no—
949D61—81no—
950D61—81no—
951C22×#41—611no—
952C22×#41—611no—
953C2×#135—611no—
954C2×#135—611no—
955C2×#135—611no—
956C22×M16—611no—
957C23×C8—611no—
958#556—611no—
959#555—611no—
960#554—611no—
961#553—611no—
962#553—611no—
963#552—611no—
964#552—1221no—
965#552C2×D6111yescharacteristic, complemented
966#551—1221no—
967#551—1221no—
968#550—611no—
969D4×Q8—611no—
970#548—611no—
971#548—611no—
972#547—611no—
973#547—1221no—
974#547C2×D6111yescharacteristic
975#546—611no—
976#546—611no—
977#546—1221no—
978#546—1221no—
979#546—1221no—
980D42—611no—
981D42—1221no—
982#533—611no—
983#532—611no—
984#532—1221no—
985#529—1221no—
986#529—1221no—
987#529—1221no—
988#525—611no—
989#525—611no—
990#525—611no—
991#525—611no—
992#525—1221no—
993#525—1221no—
994C4×#41—611no—
995C4×#41—611no—
996C4×#41—1221no—
997C2×C4×D4—611no—
998C2×C4×D4—1221no—
999C2×#117—611no—
1000C2×#117—611no—
1001#491—611no—
1002#491C2×D6111yescharacteristic, complemented
1003#490—611no—
1004#490—611no—
1005#489—611no—
1006#489—611no—
1007#489—611no—
1008#489—611no—
1009#485—611no—
1010#485—611no—
1011#485—611no—
1012#485C2×D6111yescharacteristic, complemented
1013#484—611no—
1014#484C2×D6111yescharacteristic, complemented
1015#483—611no—
1016#483—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#482—611no—
1021#481—611no—
1022#481—611no—
1023#480—611no—
1024#480—611no—
1025#479—611no—
1026#479—611no—
1027#478—611no—
1028#478C2×D6111yescharacteristic, complemented
1029#477—611no—
1030#476—611no—
1031#475—611no—
1032#474—611no—
1033#470—611no—
1034#470C2×D6111yescharacteristic, complemented
1035#469—611no—
1036#469—611no—
1037#468—611no—
1038#468—611no—
1039#468—611no—
1040#468—611no—
1041#467—611no—
1042#467C2×D6111yescharacteristic, complemented
1043#466—611no—
1044#466—611no—
1045#465—611no—
1046#465—611no—
1047#465—611no—
1048#465—611no—
1049#464—611no—
1050#464—611no—
1051#463—611no—
1052#463—611no—
1053#462C2×D6111yescharacteristic, complemented
1054#461—611no—
1055#460—611no—
1056#459—611no—
1057#452—611no—
1058#452—611no—
1059#452C2×D6111yescharacteristic, complemented
1060#452C2×D6111yescharacteristic, complemented
1061#451—611no—
1062#451—611no—
1063#450—611no—
1064#450—611no—
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449—611no—
1069#448—611no—
1070#448—611no—
1071#447—611no—
1072#447—611no—
1073#442—611no—
1074#442—611no—
1075#441—611no—
1076#441—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
1080#440C2×D6111yescharacteristic, complemented
1081#435—611no—
1082#435—611no—
1083#435—611no—
1084#435—611no—
1085#435—611no—
1086#435—611no—
1087#435—611no—
1088#435C2×D6111yescharacteristic, complemented
1089#427—611no—
1090#427—611no—
1091#427—611no—
1092C2×C4⋊C8—611no—
1093#419—611no—
1094#419—611no—
1095#418—611no—
1096#418—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417C2×D6111yescharacteristic, complemented
1101#416—611no—
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416—611no—
1113#416—611no—
1114#416C2×D6111yescharacteristic, complemented
1115C2×#103—611no—
1116C2×#103—611no—
1117C2×#102—611no—
1118C2×#102—611no—
1119C2×C22⋊C8—611no—
1120C2×C22⋊C8—611no—
1121C2×#97—611no—
1122C61#6114111yescharacteristic, complemented, Sylow
1123C2×#41—611no—
1124C2×#41—611no—
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—1221no—
1130C2×#41—1221no—
1131C2×#41—1221no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41—1224no—
1135C2×#41—1224no—
1136C2×#41—2442no—
1137C2×#41—2442no—
1138C2×#41C22×D6111yescharacteristic
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×D4—611no—
1143C22×D4—611no—
1144C22×D4—611no—
1145C22×D4—1221no—
1146C22×D4—1221no—
1147C22×D4—1221no—
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—1221no—
1151C23×C4—1221no—
1152#135—1224no—
1153#135—2442no—
1154#135—2442no—
1155C2×Q16—611no—
1156C2×Q16C22×D6111yescharacteristic
1157C2×Q16C22×D6111yescharacteristic
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16—611no—
1162C2×SD16—611no—
1163C2×SD16C22×D6111yescharacteristic
1164C2×D8—611no—
1165C2×D8—611no—
1166C2×D8—611no—
1167C2×M16—611no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—2442no—
1171C2×M16C22×D6111yescharacteristic
1172C22×C8—611no—
1173C22×C8—611no—
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C22×C8—611no—
1179C22×C8—2442no—
1180C22×C8C22×D6111yescharacteristic
1181C4⋊Q8—611no—
1182C4⋊Q8—611no—
1183C4⋊Q8—1221no—
1184C4⋊Q8C22×D6111yescharacteristic
1185#127—611no—
1186#127—1221no—
1187#126—21no—
1188#126—1221no—
1189#126—1221no—
1190#126—1221no—
1191#126—1221no—
1192#126—1221no—
1193#125—21no—
1194#125—611no—
1195#125—1221no—
1196#125—1221no—
1197#125C22×D6111yescharacteristic
1198#124—611no—
1199#124—611no—
1200#124—1221no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124—1221no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
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—
1217#123—1221no—
1218#123—1221no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8C22×D6111yescharacteristic
1233C22⋊Q8C22×D6111yescharacteristic
1234C22⋊Q8C22×D6111yescharacteristic
1235C22⋊Q8C22×D6111yescharacteristic
1236#121—21no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—611no—
1244#121—611no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121—1221no—
1256#121—1221no—
1257#120—1221no—
1258#120—1221no—
1259#120—1221no—
1260#120—1221no—
1261#120—1221no—
1262#120—1221no—
1263#120—1221no—
1264#120—1221no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—611no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8—1221no—
1271C4×Q8C22×D6111yescharacteristic
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—611no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4C22×D6111yescharacteristic
1304C4×D4C22×D6111yescharacteristic
1305#117—21no—
1306#117—611no—
1307#117—611no—
1308#117—611no—
1309#117—611no—
1310#117—611no—
1311#117—611no—
1312#117—611no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117—1221no—
1317#117—1221no—
1318#117—1221no—
1319#117—1221no—
1320#117—1221no—
1321#117C22×D6111yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—611no—
1327C2×C4⋊C4C22×D6111yescharacteristic
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—1221no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C42—611no—
1335C2×C42—1221no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338C2×C42—1221no—
1339#107—611no—
1340#107—611no—
1341#107—611no—
1342#107—611no—
1343#107C22×D6111yescharacteristic
1344#107C22×D6111yescharacteristic
1345#106—611no—
1346#106—611no—
1347#106—611no—
1348#106—611no—
1349#106—611no—
1350#106C22×D6111yescharacteristic
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8—611no—
1354C4⋊C8C22×D6111yescharacteristic
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103C22×D6111yescharacteristic
1369#103C22×D6111yescharacteristic
1370#103C22×D6111yescharacteristic
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#103C22×D6111yescharacteristic
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#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102—611no—
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394#102C22×D6111yescharacteristic
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8C22×D6111yescharacteristic
1402C22⋊C8C22×D6111yescharacteristic
1403#97—611no—
1404#97—611no—
1405#97—611no—
1406#97C22×D6111yescharacteristic
1407C24—611no—
1408C24—611no—
1409C24—1221no—
1410C24—1221no—
1411#41—22no—
1412#41—22no—
1413#41—41no—
1414#41—41no—
1415#41—614no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—1222no—
1423#41—1222no—
1424#41—1222no—
1425#41—2441no—
1426#41—2441no—
1427#41—2444no—
1428#41—2444no—
1429#41—2444no—
1430#41—2444no—
1431#41—2444no—
1432C2×Q8—611no—
1433C2×Q8—1221no—
1434C2×Q8—1221no—
1435C2×Q8—1221no—
1436C2×Q8—1221no—
1437C2×Q8—1222no—
1438C2×Q8—1222no—
1439C2×Q8—2441no—
1440C2×Q8—2441no—
1441C2×Q8C23×D6111yescharacteristic
1442C2×Q8C23×D6111yescharacteristic
1443C2×Q8C23×D6111yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—611no—
1447C2×D4—611no—
1448C2×D4—611no—
1449C2×D4—611no—
1450C2×D4—611no—
1451C2×D4—611no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1222no—
1463C2×D4—1222no—
1464C2×D4—1221no—
1465C2×D4—1221no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—2444no—
1473C2×D4—2441no—
1474C2×D4—2441no—
1475C2×D4—2442no—
1476C2×D4—2444no—
1477C2×D4—2444no—
1478C2×D4D4×D6111yescharacteristic
1479C2×D4C23×D6111yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—611no—
1494C22×C4—611no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—1222no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—2444no—
1514C22×C4—2444no—
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517Q16—41no—
1518Q16—41no—
1519Q16—1222no—
1520SD16—22no—
1521SD16—1222no—
1522SD16—2441no—
1523SD16—2441no—
1524SD16—2441no—
1525SD16—2441no—
1526D8—1222no—
1527D8—2441no—
1528D8—2441no—
1529M16—41no—
1530M16—2441no—
1531M16—2441no—
1532M16—2441no—
1533C2×C8—41no—
1534C2×C8—611no—
1535C2×C8—611no—
1536C2×C8—611no—
1537C2×C8—611no—
1538C2×C8—1222no—
1539C2×C8—1222no—
1540C2×C8—1222no—
1541C2×C8—1222no—
1542C2×C8—2441no—
1543C2×C8—2441no—
1544C2×C8—2441no—
1545C2×C8C23×D6111yescharacteristic
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—611no—
1563C4⋊C4—611no—
1564C4⋊C4—611no—
1565C4⋊C4—611no—
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⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4D4×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C4⋊C4C23×D6111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
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⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4D4×D6111yescharacteristic
1624C22⋊C4D4×D6111yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—611no—
1628C42—611no—
1629C42—611no—
1630C42—1221no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42—1221no—
1640C42C23×D6111yescharacteristic
1641C23—21no—
1642C23—611no—
1643C23—611no—
1644C23—611no—
1645C23—1222no—
1646C23—1222no—
1647C23—1222no—
1648C23—1221no—
1649C23—1221no—
1650C23—1221no—
1651C23—4881no—
1652C23—4881no—
1653C23—2441no—
1654C23—2441no—
1655C23—2441no—
1656C23—2442no—
1657C23—2442no—
1658C23—2442no—
1659C23—2442no—
1660C23C2×D4×D6111yescharacteristic
1661C23C2×D4×D6111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—612no—
1669Q8—1221no—
1670Q8—4881no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8—2442no—
1674D4—21no—
1675D4—41no—
1676D4—42no—
1677D4—42no—
1678D4—1222no—
1679D4—1222no—
1680D4—1224no—
1681D4—1221no—
1682D4—1221no—
1683D4—1221no—
1684D4—1221no—
1685D4—1221no—
1686D4—1221no—
1687D4—4881no—
1688D4—4881no—
1689D4—4881no—
1690D4—4881no—
1691D4—4881no—
1692D4—2442no—
1693D4—2442no—
1694D4—2442no—
1695D4—2442no—
1696D4—2442no—
1697D4—2442no—
1698D4—2442no—
1699D4—2441no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4#41×D6112yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—611no—
1722C2×C4—612no—
1723C2×C4—612no—
1724C2×C4—611no—
1725C2×C4—611no—
1726C2×C4—611no—
1727C2×C4—611no—
1728C2×C4—1222no—
1729C2×C4—1222no—
1730C2×C4—1222no—
1731C2×C4—1222no—
1732C2×C4—1222no—
1733C2×C4—1222no—
1734C2×C4—1224no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—4881no—
1745C2×C4—4881no—
1746C2×C4—4881no—
1747C2×C4—4881no—
1748C2×C4—2441no—
1749C2×C4—2441no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4—2442no—
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×D4×D6111yescharacteristic
1762C2×C4C2×D4×D6111yescharacteristic
1763C2×C4C24×D6111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C8—1221no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—612no—
1782C22—612no—
1783C22—1221no—
1784C22—1221no—
1785C22—1221no—
1786C22—1221no—
1787C22—1221no—
1788C22—1221no—
1789C22—1221no—
1790C22—4884no—
1791C22—4882no—
1792C22—4884no—
1793C22—2444no—
1794C22—2441no—
1795C22—2441no—
1796C22—2441no—
1797C22—2441no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22—2441no—
1802C22—2441no—
1803C22C22×D4×D6111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—612no—
1816C4—1221no—
1817C4—1221no—
1818C4—1222no—
1819C4—1221no—
1820C4—1221no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4C2×#41×D6111yescharacteristic
1826C4H(5,𝔽2)×D6111yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—1222no—
1831C2—1222no—
1832C2—4881no—
1833C2—4881no—
1834C2—4881no—
1835C2—2441no—
1836C2#546×D6111yescharacteristic
1837C2#575×D6111yescharacteristic
1838C2#2146058911yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3315C2
socleC22×C61C23×D4
hypercenter#3315D61
hypocenterC61#61141
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. #21459372C2semidirect
2. #21459306C2semidirect
3. #21458003C2semidirect
4. #21457989C2semidirect
5. #21457971C2semidirect
6. #21457957C2semidirect
7. #21457939C2semidirect
8. #21457925C2semidirect
9. #21457893C2semidirect
10. #21457891C2semidirect
11. #21457877C2semidirect
12. #21457859C2semidirect
13. #21457845C2semidirect
14. #21457827C2semidirect
15. #21457813C2semidirect
16. #21457795C2semidirect
17. #21457781C2semidirect
18. #21456166C2semidirect
19. #21455737C2semidirect
20. #21455735C2semidirect
21. #21455604C2semidirect
22. #21455430C2semidirect
23. #21455402C2semidirect
24. #21455277C2semidirect
25. #21455040C2semidirect
26. #21455040C2semidirect
27. #21454614C2semidirect
28. #435×D61C2semidirect
29. #21454335C2semidirect
30. #416×D61C2semidirect
31. C61×#3315C2semidirect
34. C2×#14519800C22semidirect
35. C2×#14519800C22semidirect
37. C2×M16×D61C22semidirect
38. C22×C8×D61C22semidirect
39. #16840483C22semidirect
40. #16840475C22semidirect
41. #16840470C22semidirect
43. #16840458C22semidirect
53. #16840413C22semidirect
61. #16840318C22semidirect
69. #16840275C22semidirect
70. #16840275C22semidirect
73. C4×#11758226C22semidirect
78. C2×#14519735C22semidirect
79. #117×D61C22semidirect
80. #16840130C22semidirect
81. #16840128C22semidirect
82. #16840127C22semidirect
83. #16840123C22semidirect
84. #16840123C22semidirect
85. #16840123C22semidirect
86. #16840123C22semidirect
87. #16840102C22semidirect
88. #16840102C22semidirect
89. #16840100C22semidirect
90. #16840096C22semidirect
91. #16840091C22semidirect
92. #16840090C22semidirect
93. #16840089C22semidirect
94. #16840089C22semidirect
95. #16840087C22semidirect
96. #16840086C22semidirect
97. #16840082C22semidirect
98. #16840080C22semidirect
99. #16840077C22semidirect
100. #16840076C22semidirect
101. #16840070C22semidirect
102. #16840066C22semidirect
103. #16840062C22semidirect
104. #16840056C22semidirect
105. #16840050C22semidirect
106. #16840046C22semidirect
107. #16840040C22semidirect
108. #16840017C22semidirect
109. #16840016C22semidirect
110. #16840015C22semidirect
111. #16840011C22semidirect
112. #16840011C22semidirect
113. #16840010C22semidirect
114. #16840010C22semidirect
115. #16840000C22semidirect
116. #16839999C22semidirect
117. #16839998C22semidirect
118. #16839994C22semidirect
119. #16839994C22semidirect
120. #16839993C22semidirect
121. #16839993C22semidirect
122. #16839986C22semidirect
123. #16839986C22semidirect
124. #16839980C22semidirect
125. #16839980C22semidirect
126. #16839964C22semidirect
127. #16839962C22semidirect
128. #16839958C22semidirect
129. #16839922C22semidirect
130. #16839922C22semidirect
131. #16839916C22semidirect
132. #16839916C22semidirect
133. #16839911C22semidirect
134. #16839911C22semidirect
135. #16839909C22semidirect
136. #16839909C22semidirect
137. #16839907C22semidirect
138. #16839907C22semidirect
139. #16839902C22semidirect
140. #16839902C22semidirect
141. #16839897C22semidirect
142. #16839897C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. #16839864C22semidirect
148. #16839863C22semidirect
149. #16839861C22semidirect
150. #16839836C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #16839799C22semidirect
158. #16839799C22semidirect
159. #16839797C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839769C22semidirect
162. #16839769C22semidirect
163. #16839765C22semidirect
164. #16839765C22semidirect
165. #16839764C22semidirect
166. #16839763C22semidirect
167. #16839761C22semidirect
168. #16839759C22semidirect
169. #16839758C22semidirect
170. #16839757C22semidirect
171. #16839757C22semidirect
172. #16839757C22semidirect
173. #16839757C22semidirect
174. #16839757C22semidirect
175. #16839757C22semidirect
176. #16839757C22semidirect
177. #16839756C22semidirect
181. #103×D61C22semidirect
182. #103×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. C22⋊C8×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. #97×D61C22semidirect
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
537. #11758224#41semidirect
916. #3315D61semidirect
965. #552C2×D61semidirect
1002. #491C2×D61semidirect
1012. #485C2×D61semidirect
1014. #484C2×D61semidirect
1028. #478C2×D61semidirect
1034. #470C2×D61semidirect
1042. #467C2×D61semidirect
1053. #462C2×D61semidirect
1059. #452C2×D61semidirect
1060. #452C2×D61semidirect
1080. #440C2×D61semidirect
1088. #435C2×D61semidirect
1100. #417C2×D61semidirect
1114. #416C2×D61semidirect
1122. C61#61141semidirect

Maximal subgroups

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

subgroupindex
#214593722
#214593062
#214580032
#214579892
#214579712
#214579572
#214579392
#214579252
#214578932
#214578912
#214578772
#214578592
#214578452
#214578272
#214578132
#214577952
#214577812
#214561662
#214557372
#214557352
#214556042
#214554302
#214554022
#214552772
#214550402
#214546142
#435×D612
#214543352
#416×D612
C61×#33152
#6114161