Finite Group Databasebeta

← #30562593

Subgroups — #30562593

Order 15616.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459906C211yesmaximal, characteristic, complemented
2#21459847C211yesmaximal, characteristic
3#21458795C211yesmaximal, characteristic, complemented
4#21458697C211yesmaximal, characteristic, complemented
5#21458597C211yesmaximal, characteristic, complemented
6#21458549C211yesmaximal, characteristic, complemented
7#21458225C211yesmaximal, characteristic, complemented
8#21458196C211yesmaximal, characteristic, complemented
9#21458192C211yesmaximal, characteristic, complemented
10#21458109C211yesmaximal, characteristic, complemented
11#21458045C211yesmaximal, characteristic, complemented
12#21457986C211yesmaximal, characteristic, complemented
13#21457846C211yesmaximal, characteristic, complemented
14#21457842C211yesmaximal, characteristic, complemented
15D4×#11758201C211yesmaximal, characteristic, complemented
16#21457508C211yesmaximal, characteristic, complemented
17#21457508C211yesmaximal, characteristic, complemented
18#21456450C211yesmaximal, characteristic, complemented
19#21456442C211yesmaximal, characteristic, complemented
20#21456373C211yesmaximal, characteristic, complemented
21#21456112C211yesmaximal, characteristic, complemented
22#21456104C211yesmaximal, characteristic, complemented
23#21456069C211yesmaximal, characteristic, complemented
24#21456067C211yesmaximal, characteristic, complemented
25#21455936C211yesmaximal, characteristic, complemented
26#21455915C211yesmaximal, characteristic, complemented
27#21454789C211yesmaximal, characteristic, complemented
28#21454675C211yesmaximal, characteristic, complemented
29#21454674C211yesmaximal, characteristic, complemented
30C2×#16839847C211yesmaximal, characteristic, complemented
31C61×#3320C211yesmaximal, characteristic, complemented
32C22×#11758201C2211yescharacteristic
33C22×#11758201C2211yescharacteristic
34C2×SD16×D61C2211yescharacteristic
35#16840488C2211yescharacteristic, complemented
36#16840487—21no—
37#16840487C2211yescharacteristic, complemented
38#16840483—21no—
39#16840483C2211yescharacteristic, complemented
40#16840475C2211yescharacteristic
41#16840468C2211yescharacteristic
42#16840463—21no—
43#16840460C2211yescharacteristic
44#16840454—21no—
45#16840454C2211yescharacteristic, complemented
46#16840452—21no—
47#16840452C2211yescharacteristic, complemented
48#16840433C2211yescharacteristic
49Q8×C22⋊D61C2211yescharacteristic, complemented
50Q8×C22⋊D61C2211yescharacteristic, complemented
51#16840407—21no—
52#16840404—21no—
53#16840401—21no—
54D4×D244C2211yescharacteristic
55#16840396C2211yescharacteristic
56#16840396C2211yescharacteristic
57#16840373—21no—
58#16840373C2211yescharacteristic, complemented
59#16840372—21no—
60#16840372C2211yescharacteristic, complemented
61#16840368C2211yescharacteristic
62#16840365C2211yescharacteristic
63#16840351—21no—
64#16840348—21no—
65#16840314—21no—
66#16840314C2211yescharacteristic, complemented
67#16840307C2211yescharacteristic
68#16840292—21no—
69#16840292C2211yescharacteristic
70#16840271—21no—
71#121×D61—21no—
72#16840240C2211yescharacteristic, complemented
73#16840238C2211yescharacteristic, complemented
74#16840236C2211yescharacteristic
75#16840234C2211yescharacteristic
76C2×Q8×Dic61C2211yescharacteristic, complemented
77C2×#14519739C2211yescharacteristic
78#16840163C2211yescharacteristic, complemented
79#16840161C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840136C2211yescharacteristic, complemented
82#16840133C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic, complemented
84#16840129C2211yescharacteristic, complemented
85#16840127C2211yescharacteristic, complemented
86#16840125C2211yescharacteristic, complemented
87#16840111C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic, complemented
89#16840103C2211yescharacteristic, complemented
90#16840102C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840097C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic, complemented
97#16840076C2211yescharacteristic, complemented
98#16840073C2211yescharacteristic, complemented
99#16840071C2211yescharacteristic, complemented
100#16840067C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic
104#16840062C2211yescharacteristic, complemented
105#16840061C2211yescharacteristic
106#16840055C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840041C2211yescharacteristic
109#16840041C2211yescharacteristic, complemented
110#16840011C2211yescharacteristic, complemented
111#16840011C2211yescharacteristic, complemented
112#16840008C2211yescharacteristic, complemented
113#16839994C2211yescharacteristic, complemented
114#16839994C2211yescharacteristic, complemented
115#16839993C2211yescharacteristic, complemented
116#16839993C2211yescharacteristic, complemented
117#16839991C2211yescharacteristic, complemented
118#16839989C2211yescharacteristic, complemented
119#16839989C2211yescharacteristic, complemented
120#16839966C2211yescharacteristic
121#16839966C2211yescharacteristic
122#16839966C2211yescharacteristic, complemented
123#16839966C2211yescharacteristic, complemented
124#16839964C2211yescharacteristic
125#16839963C2211yescharacteristic, complemented
126#16839962C2211yescharacteristic, complemented
127#16839960C2211yescharacteristic, complemented
128#16839960C2211yescharacteristic, complemented
129#16839960C2211yescharacteristic, complemented
130#16839960C2211yescharacteristic, complemented
131#16839915C2211yescharacteristic
132#16839915C2211yescharacteristic
133#16839912C2211yescharacteristic
134#16839912C2211yescharacteristic
135#16839911C2211yescharacteristic
136#16839911C2211yescharacteristic
137#16839902C2211yescharacteristic, complemented
138#16839902C2211yescharacteristic, complemented
139#16839901C2211yescharacteristic, complemented
140#16839901C2211yescharacteristic, complemented
141#16839890C2211yescharacteristic, complemented
142#16839886C2211yescharacteristic, complemented
143#16839865C2211yescharacteristic
144#16839865C2211yescharacteristic
145#16839865C2211yescharacteristic, complemented
146#16839865C2211yescharacteristic, complemented
147#16839865C2211yescharacteristic, complemented
148#16839865C2211yescharacteristic, complemented
149#16839864C2211yescharacteristic
150#16839863C2211yescharacteristic, complemented
151#16839863C2211yescharacteristic, complemented
152#16839861C2211yescharacteristic
153#16839861C2211yescharacteristic, complemented
154#16839853C2211yescharacteristic, complemented
155SD16×Dic61C2211yescharacteristic, complemented
156C4×#11758201C2211yescharacteristic
157#16839849C2211yescharacteristic, complemented
158C4×#11758200C2211yescharacteristic, complemented
159#16839847C2211yescharacteristic
160#16839847C2211yescharacteristic
161#16839847C2211yescharacteristic
162#16839847C2211yescharacteristic
163#16839847C2211yescharacteristic
164#16839847C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic, complemented
167#16839847C2211yescharacteristic, complemented
168#16839847C2211yescharacteristic, complemented
169#16839847C2211yescharacteristic, complemented
170#16839838C2211yescharacteristic, complemented
171#16839833C2211yescharacteristic, complemented
172D4×#92418C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic, complemented
174#16839825C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839816C2211yescharacteristic, complemented
178#16839799C2211yescharacteristic, complemented
179#16839798C2211yescharacteristic, complemented
180C2×#14519708C2211yescharacteristic, complemented
181#16839769C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839765C2211yescharacteristic
184C2×#14519699C2211yescharacteristic
185#16839720C2211yescharacteristic, complemented
186#16839719C2211yescharacteristic, complemented
187C2×C8×Dic61C2211yescharacteristic, complemented
188C61×#553C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic, complemented
190C61×#491C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#461C2211yescharacteristic, complemented
197C61×#448C2211yescharacteristic, complemented
198C61×#448C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C2×#103×C61C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×Q8×D61C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C2×D4×D61—21no—
210C2×D4×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C22×C4×D61—21no—
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201—24no—
218C2×#11758201—24no—
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228SD16×D61—24no—
229C2×#11758189C2311yescharacteristic
230C22×#92418C2311yescharacteristic
231C22×#92418C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233#14519776—21no—
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519775—21no—
237#14519775—21no—
238#14519775C2311yescharacteristic
239#14519775C2311yescharacteristic
240#14519774C2311yescharacteristic
241#14519773C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772D411yescharacteristic
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770D411yescharacteristic
254#14519769—21no—
255#14519769C2311yescharacteristic
256#14519768—21no—
257#14519768—21no—
258#14519768—21no—
259#14519768—21no—
260#14519768C2311yescharacteristic
261#14519768C2311yescharacteristic
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767D411yescharacteristic
270#14519765—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763D411yescharacteristic
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519761—21no—
279#14519761—21no—
280#14519761D411yescharacteristic
281#14519759—21no—
282#14519758—21no—
283#14519758D411yescharacteristic
284#14519757—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519754—21no—
292#14519754D411yescharacteristic
293#14519753—21no—
294#14519753—21no—
295#14519753C2311yescharacteristic
296#14519753C2311yescharacteristic
297#14519752—21no—
298#14519752—21no—
299#14519752—21no—
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519751—21no—
303#14519751—21no—
304#14519751C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749D411yescharacteristic
314#14519748—21no—
315#14519747—21no—
316#14519747—21no—
317#14519747—21no—
318#14519747—21no—
319#14519745—21no—
320#14519745—21no—
321Q8×Dic61—21no—
322Q8×Dic61—21no—
323Q8×Dic61—21no—
324Q8×Dic61—21no—
325Q8×Dic61C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328Q8×Dic61C2311yescharacteristic
329Q8×Dic61C2311yescharacteristic
330Q8×Dic61C2311yescharacteristic
331Q8×Dic61C2311yescharacteristic
332C4×Dic122—21no—
333C4×Dic122—21no—
334C4×Dic122C2311yescharacteristic
335C4×Dic122C2311yescharacteristic
336#14519742—21no—
337#14519742—21no—
338#14519742—21no—
339#14519742—21no—
340#14519742C2311yescharacteristic
341C4×D244—21no—
342C4×D244—21no—
343C4×D244C2311yescharacteristic
344D4×Dic61C2311yescharacteristic
345#14519739—21no—
346#14519739—21no—
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61C2311yescharacteristic
359C4×C22⋊D61C2311yescharacteristic
360#14519737—21no—
361#14519737—21no—
362#14519736—21no—
363#14519736—21no—
364#14519736C2311yescharacteristic
365#14519736C2311yescharacteristic
366#14519735—21no—
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519734—21no—
370#14519734—21no—
371#14519734C2311yescharacteristic
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375C2×C4⋊Dic61—21no—
376C2×C4⋊Dic61C2311yescharacteristic
377C4⋊C4×D61—21no—
378C2×#11758198—21no—
379C2×#11758198—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C2×C4×Dic61—21no—
384C2×C4×Dic61C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×Q8×C61C2311yescharacteristic
439C22×Q8×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×M16×C61C2311yescharacteristic
444C22×C8×C61C2311yescharacteristic
445C4⋊Q8×C61—21no—
446C4⋊Q8×C61C2311yescharacteristic
447#126×C61—21no—
448#125×C61C2311yescharacteristic
449#123×C61—21no—
450C22⋊Q8×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2311yescharacteristic
454#121×C61—21no—
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×D4×C61—21no—
459C4×D4×C61—21no—
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463C2×C4⋊C4×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C23×D61—21no—
482C23×D61—21no—
483C23×D61—21no—
484C2×Q8×C61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—22no—
487C2×Q8×C61—22no—
488C2×Q8×C61—41no—
489C2×Q8×C61—41no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61C2×D411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61C2×D411yescharacteristic
511C2×C22⋊D61C2×D411yescharacteristic
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516Q8×D61—22no—
517Q8×D61—41no—
518#11758224—82no—
519D4×D61—22no—
520D4×D61—41no—
521D4×D61—82no—
522D4×D61—82no—
523D4×D61—82no—
524#11758222—82no—
525C2×D244—22no—
526C2×D244—22no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244—41no—
534C2×D244—41no—
535C2×D244C2411yescharacteristic
536C2×D244C2411yescharacteristic
537C2×D244C2411yescharacteristic
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—82no—
548C2×C4×D61C2411yescharacteristic
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122C2×D411yescharacteristic
553C2×Dic122C2411yescharacteristic
554SD16×C61—22no—
555SD16×C61—41no—
556SD16×C61—41no—
557M16×C61—41no—
558C2×C8×C61—41no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61C2×D411yescharacteristic
583C22⋊C4×C61C2×D411yescharacteristic
584C42×C61—21no—
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593C22⋊Dic61C2×D411yescharacteristic
594C22⋊Dic61C2×D411yescharacteristic
595#11758201—22no—
596#11758201—22no—
597#11758201—22no—
598#11758201—22no—
599#11758201—22no—
600#11758201—22no—
601#11758201—41no—
602#11758201—41no—
603#11758201#4114yescomplemented
604#11758200—22no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2×D411yescharacteristic
637C4⋊Dic61C2×D411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
641C4⋊Dic61C2411yescharacteristic
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661#11758196C2×D411yescharacteristic
662#11758196C2×D411yescharacteristic
663#11758196C2×D411yescharacteristic
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61C2×D411yescharacteristic
677C4×Dic61C2×D411yescharacteristic
678C4×Dic61C2411yescharacteristic
679C4×Dic61C2411yescharacteristic
680C4×Dic61C2411yescharacteristic
681C2×#92418—22no—
682C2×#92418—22no—
683C2×#92418C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686C2×#92418C2411yescharacteristic
687#11758190—22no—
688#11758190—41no—
689#11758190—41no—
690#11758189—41no—
691C8×D61—22no—
692C23×C61—21no—
693C23×C61C22×D411yescharacteristic
694C23×C61C22×D411yescharacteristic
695C22×D61—21no—
696C22×D61—21no—
697C22×D61—21no—
698C22×D61—42no—
699C22×D61—42no—
700C22×D61—42no—
701C22×D61—42no—
702C22×D61—81no—
703C22×D61—81no—
704C22×D61—81no—
705C22×D61—81no—
706C22×D61—81no—
707C22×D61C22×D411yescharacteristic
708Q8×C61—21no—
709Q8×C61—21no—
710Q8×C61—21no—
711Q8×C61—21no—
712Q8×C61—21no—
713Q8×C61—42no—
714Q8×C61—42no—
715Q8×C61C2×#4112yes—
716D4×C61—22no—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—42no—
720D4×C61—81no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—42no—
733C2×C4×C61—42no—
734C2×C4×C61—81no—
735C2×C4×C61—81no—
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C2511yescharacteristic
741C22⋊D61—22no—
742C22⋊D61—22no—
743C22⋊D61—42no—
744C22⋊D61—42no—
745C22⋊D61—42no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C2×Dic61—22no—
751C2×Dic61—22no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—42no—
758C2×Dic61—81no—
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766D244—21no—
767D244—21no—
768D244—21no—
769D244—21no—
770D244—21no—
771D244—42no—
772D244—42no—
773D244—81no—
774D244—81no—
775D244—81no—
776D244—81no—
777D244C2×#4112yes—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—42no—
781C4×D61—42no—
782C4×D61—42no—
783C4×D61—81no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789Dic122—22no—
790Dic122—21no—
791Dic122—21no—
792Dic122—42no—
793Dic122—42no—
794Dic122—81no—
795C8×C61—21no—
796C8×C61—21no—
797C8×C61—21no—
798C8×C61—21no—
799#92418—21no—
800#92418—21no—
801#92418—21no—
802#92418C2×#4112yes—
803#61481—611nomaximal, Sylow
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61#57712yes—
813C22×C61C23×D411yescharacteristic
814C2×D61—21no—
815C2×D61—22no—
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—84no—
827C2×D61—162no—
828C2×D61—162no—
829C4×C61—22no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—21no—
833C4×C61—21no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61—41no—
839C4×C61—41no—
840C4×C61C22×#4111yescharacteristic
841C4×C61#58511yescharacteristic
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—21no—
846Dic61—21no—
847Dic61—21no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853Dic61#57712yes—
854#3523—611no—
855#3519—611no—
856#3392—611no—
857#3381—611no—
858#3372—611no—
859#3368—611no—
860#3340—611no—
861#3337—611no—
862#3337—611no—
863#3329—611no—
864#3324—611no—
865#3320—611no—
866#3320D6111yescharacteristic, complemented
867#3310—611no—
868#3310—611no—
869D4×SD16—611no—
870D4×SD16—611no—
871D4×SD16—611no—
872#3174—611no—
873#3174—611no—
874#3167—611no—
875#3126—611no—
876#3126—611no—
877#3123—611no—
878#3123—611no—
879#3112—611no—
880#3110—611no—
881#2966—611no—
882#2949—611no—
883#2949—611no—
884C2×C4×SD16—611no—
885C2×C61—22no—
886C2×C61—41no—
887C2×C61—81no—
888C2×C61D4×#4111yescharacteristic
889C2×C61C2×#57711yescharacteristic
890C2×C61C2×#57711yescharacteristic
891D61—41no—
892D61—42no—
893D61—81no—
894D61—81no—
895C22×SD16—611no—
896C22×SD16—611no—
897C22×SD16—611no—
898#557—611no—
899#557—611no—
900#557—1221no—
901#556—611no—
902#556—1221no—
903#555—611no—
904#554—611no—
905#553—611no—
906#553—1221no—
907#553C2×D6111yescharacteristic
908#552—611no—
909#552—611no—
910#552—1221no—
911#552—1221no—
912#550—611no—
913D4×Q8—611no—
914D4×Q8—611no—
915D4×Q8C2×D6111yescharacteristic, complemented
916#546—1221no—
917#546—1221no—
918#546—1221no—
919D42—611no—
920D42—611no—
921D42—611no—
922#541—611no—
923#541—611no—
924#541—1221no—
925#541—1221no—
926#540—611no—
927#540—611no—
928#538—1221no—
929#538—1221no—
930#533—611no—
931#533—1221no—
932#532—611no—
933#529—611no—
934#529—1221no—
935#525—1221no—
936C2×#121—1221no—
937#519—611no—
938#519—611no—
939#518—611no—
940#518—611no—
941C2×C4×Q8—611no—
942C2×C4×D4—611no—
943#499—611no—
944#499—611no—
945#498—611no—
946#492—611no—
947#492—611no—
948#492—611no—
949#491—611no—
950#491C2×D6111yescharacteristic, complemented
951#490—611no—
952#490—611no—
953#487—611no—
954#486—611no—
955#485—611no—
956#485—611no—
957#485—611no—
958#485C2×D6111yescharacteristic, complemented
959#484—611no—
960#484C2×D6111yescharacteristic, complemented
961#482—611no—
962#482—611no—
963#482—611no—
964#482—611no—
965#480—611no—
966#480—611no—
967#479—611no—
968#479—611no—
969#479—611no—
970#479C2×D6111yescharacteristic, complemented
971#478—611no—
972#478—611no—
973#478—611no—
974#478—611no—
975#477—611no—
976#477—611no—
977#474—611no—
978#474—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468C2×D6111yescharacteristic, complemented
983#465—611no—
984#465—611no—
985#465—611no—
986#465—611no—
987#465—611no—
988#465—611no—
989#465—611no—
990#465C2×D6111yescharacteristic, complemented
991#461—611no—
992#461—611no—
993#461—611no—
994#461—611no—
995#461—611no—
996#461C2×D6111yescharacteristic, complemented
997#460—611no—
998#460—611no—
999#460—611no—
1000#460—611no—
1001#460—611no—
1002#460—611no—
1003#450—611no—
1004#450—611no—
1005#450—611no—
1006#450—611no—
1007#450—611no—
1008#450—611no—
1009#448—611no—
1010#448—611no—
1011#448—611no—
1012#448—611no—
1013#448C2×D6111yescharacteristic, complemented
1014#448C2×D6111yescharacteristic, complemented
1015#446—611no—
1016C8×Q8—611no—
1017#440—611no—
1018#440—611no—
1019#440—611no—
1020#440—611no—
1021#440—611no—
1022#440—611no—
1023#440—611no—
1024#440—611no—
1025#440—611no—
1026#440—611no—
1027#440—611no—
1028#440C2×D6111yescharacteristic, complemented
1029C4×SD16—611no—
1030C4×SD16—611no—
1031C4×SD16—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16—611no—
1035C4×SD16—611no—
1036C4×SD16—611no—
1037C4×SD16—611no—
1038C4×SD16—611no—
1039C4×SD16—611no—
1040C4×SD16—611no—
1041C4×SD16—611no—
1042C4×SD16—611no—
1043C4×SD16—611no—
1044C4×SD16—611no—
1045#436—611no—
1046#435—611no—
1047#435C2×D6111yescharacteristic, complemented
1048C8×D4—611no—
1049C8×D4—611no—
1050C8×D4—611no—
1051#433—611no—
1052#433—611no—
1053#432—611no—
1054#427—611no—
1055#427—611no—
1056C2×#106—611no—
1057#419—611no—
1058#419C2×D6111yescharacteristic, complemented
1059#418—611no—
1060#418—611no—
1061C2×#103C2×D6111yescharacteristic, complemented
1062C2×#102—611no—
1063#405—611no—
1064#405—611no—
1065C2×C4×C8—611no—
1066C61#6148111yescharacteristic, complemented, Sylow
1067C2×#41—1221no—
1068C2×#41—1221no—
1069C22×Q8—611no—
1070C22×Q8C22×D6111yescharacteristic
1071C22×Q8C22×D6111yescharacteristic
1072C22×D4—611no—
1073C22×D4—611no—
1074C22×D4—611no—
1075C22×D4—1221no—
1076C22×D4—1221no—
1077C22×D4—1221no—
1078C23×C4—1221no—
1079C2×SD16—611no—
1080C2×SD16—611no—
1081C2×SD16—611no—
1082C2×SD16—611no—
1083C2×SD16—611no—
1084C2×SD16—611no—
1085C2×SD16—611no—
1086C2×SD16—611no—
1087C2×SD16—611no—
1088C2×SD16—611no—
1089C2×SD16—611no—
1090C2×SD16—611no—
1091C2×SD16—611no—
1092C2×SD16—1224no—
1093C2×SD16—1224no—
1094C2×SD16—1224no—
1095C2×SD16C22×D6111yescharacteristic
1096C2×SD16C22×D6111yescharacteristic
1097C2×SD16C22×D6111yescharacteristic
1098C2×M16—611no—
1099C2×M16C22×D6111yescharacteristic
1100C22×C8—611no—
1101C22×C8—611no—
1102C22×C8—611no—
1103C22×C8C22×D6111yescharacteristic
1104C4⋊Q8—21no—
1105C4⋊Q8—611no—
1106C4⋊Q8—611no—
1107C4⋊Q8—611no—
1108C4⋊Q8—611no—
1109C4⋊Q8—1221no—
1110C4⋊Q8—1221no—
1111C4⋊Q8—1221no—
1112C4⋊Q8C22×D6111yescharacteristic
1113#127—611no—
1114#127—611no—
1115#127—611no—
1116#126—21no—
1117#126—611no—
1118#126—611no—
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#126—1221no—
1123#126—1221no—
1124#126—1221no—
1125#126—1221no—
1126#126—1221no—
1127#126—1221no—
1128#125—611no—
1129#125—611no—
1130#125—611no—
1131#125—611no—
1132#125—1221no—
1133#125—1221no—
1134#125—1221no—
1135#125—1221no—
1136#125—1221no—
1137#125—1221no—
1138#125—1221no—
1139#125—1221no—
1140#125—1221no—
1141#125—1221no—
1142#125—1221no—
1143#125—1221no—
1144#125C22×D6111yescharacteristic
1145#124—611no—
1146#124—1221no—
1147#124—1221no—
1148#124—1221no—
1149#124—1221no—
1150#123—21no—
1151#123—611no—
1152#123—611no—
1153#123—1221no—
1154#123—1221no—
1155#123—1221no—
1156#123—1221no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—611no—
1163C22⋊Q8—611no—
1164C22⋊Q8—611no—
1165C22⋊Q8—611no—
1166C22⋊Q8—611no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8—1221no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8—1221no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8C22×D6111yescharacteristic
1176C22⋊Q8C22×D6111yescharacteristic
1177#121—21no—
1178#121—611no—
1179#121—611no—
1180#121—611no—
1181#121—611no—
1182#121—611no—
1183#121—1221no—
1184#121—1221no—
1185#121—1221no—
1186#121—1221no—
1187#121—1221no—
1188#121—1221no—
1189#121—1221no—
1190#121—1221no—
1191#121—1221no—
1192#121—1221no—
1193#121—1221no—
1194#121—1221no—
1195#121—1221no—
1196#121C22×D6111yescharacteristic
1197#121C22×D6111yescharacteristic
1198#120—1221no—
1199#120—1221no—
1200#120—1221no—
1201#120—1221no—
1202#120—1221no—
1203#120—1221no—
1204C4×Q8—611no—
1205C4×Q8—611no—
1206C4×Q8—611no—
1207C4×Q8—611no—
1208C4×Q8—611no—
1209C4×Q8—611no—
1210C4×Q8—611no—
1211C4×Q8—611no—
1212C4×Q8—611no—
1213C4×Q8—611no—
1214C4×Q8—1221no—
1215C4×Q8—1221no—
1216C4×Q8—1221no—
1217C4×Q8—1221no—
1218C4×Q8—1221no—
1219C4×Q8—1221no—
1220C4×Q8—1221no—
1221C4×Q8—1221no—
1222C4×Q8—1221no—
1223C4×Q8—1221no—
1224C4×Q8C22×D6111yescharacteristic
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—611no—
1230C4×D4—611no—
1231C4×D4—611no—
1232C4×D4—611no—
1233C4×D4—611no—
1234C4×D4—611no—
1235C4×D4—611no—
1236C4×D4—611no—
1237C4×D4—611no—
1238C4×D4—1221no—
1239C4×D4—1221no—
1240C4×D4—1221no—
1241C4×D4—1221no—
1242C4×D4—1221no—
1243C4×D4—1221no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4—1221no—
1247C4×D4—1221no—
1248C4×D4C22×D6111yescharacteristic
1249C4×D4C22×D6111yescharacteristic
1250#117—611no—
1251#117—611no—
1252#117—611no—
1253#117—611no—
1254#117—611no—
1255#117—1221no—
1256#117—1221no—
1257#117—1221no—
1258#117—1221no—
1259#117—1221no—
1260#117—1221no—
1261#117—1221no—
1262#117—1221no—
1263#117C22×D6111yescharacteristic
1264C2×C4⋊C4—611no—
1265C2×C4⋊C4—1221no—
1266C2×C4⋊C4—1221no—
1267C2×C4⋊C4C22×D6111yescharacteristic
1268C2×C22⋊C4—1221no—
1269C2×C22⋊C4—1221no—
1270C2×C22⋊C4—1221no—
1271C2×C22⋊C4—1221no—
1272C2×C22⋊C4—1221no—
1273C2×C42—611no—
1274C2×C42—1221no—
1275#107—611no—
1276#107—611no—
1277#107—611no—
1278#107—611no—
1279#107—611no—
1280#107—611no—
1281#107C22×D6111yescharacteristic
1282#107C22×D6111yescharacteristic
1283#106—611no—
1284#106—611no—
1285#106—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106C22×D6111yescharacteristic
1291C4⋊C8—611no—
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8C22×D6111yescharacteristic
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
1302#103—611no—
1303#103—611no—
1304#103C22×D6111yescharacteristic
1305#103C22×D6111yescharacteristic
1306#103C22×D6111yescharacteristic
1307#103C22×D6111yescharacteristic
1308#103C22×D6111yescharacteristic
1309#103C22×D6111yescharacteristic
1310#103C22×D6111yescharacteristic
1311#103C22×D6111yescharacteristic
1312#103C22×D6111yescharacteristic
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102C22×D6111yescharacteristic
1329C22⋊C8—611no—
1330C22⋊C8—611no—
1331C22⋊C8—611no—
1332C22⋊C8—611no—
1333C22⋊C8C22×D6111yescharacteristic
1334C22⋊C8C22×D6111yescharacteristic
1335#97—611no—
1336#97—611no—
1337#97—611no—
1338#97C22×D6111yescharacteristic
1339C4×C8—611no—
1340C4×C8—611no—
1341C4×C8—611no—
1342C4×C8—611no—
1343C4×C8—611no—
1344C4×C8—611no—
1345C24—1221no—
1346C24—1221no—
1347C24—1221no—
1348#41—4882no—
1349#41—4882no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—41no—
1355C2×Q8—41no—
1356C2×Q8—611no—
1357C2×Q8—611no—
1358C2×Q8—1221no—
1359C2×Q8—1221no—
1360C2×Q8—1221no—
1361C2×Q8—1222no—
1362C2×Q8—2441no—
1363C2×Q8C23×D6111yescharacteristic
1364C2×Q8C23×D6111yescharacteristic
1365C2×Q8C23×D6111yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—611no—
1369C2×D4—611no—
1370C2×D4—611no—
1371C2×D4—611no—
1372C2×D4—611no—
1373C2×D4—1222no—
1374C2×D4—1222no—
1375C2×D4—1221no—
1376C2×D4—1221no—
1377C2×D4—1221no—
1378C2×D4—1221no—
1379C2×D4—1221no—
1380C2×D4—1221no—
1381C2×D4—1221no—
1382C2×D4—1222no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—4882no—
1390C2×D4—4882no—
1391C2×D4—4882no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C2×D4D4×D6111yescharacteristic
1396C2×D4C23×D6111yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—4882no—
1416C22×C4C23×D6111yescharacteristic
1417C22×C4C23×D6111yescharacteristic
1418SD16—22no—
1419SD16—41no—
1420SD16—41no—
1421SD16—614no—
1422SD16—1222no—
1423SD16—1222no—
1424SD16—1222no—
1425SD16—1222no—
1426SD16—1222no—
1427SD16—1222no—
1428SD16—1222no—
1429SD16—1222no—
1430SD16—2441no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434M16—41no—
1435M16—2441no—
1436C2×C8—41no—
1437C2×C8—611no—
1438C2×C8—611no—
1439C2×C8—611no—
1440C2×C8—611no—
1441C2×C8—1222no—
1442C2×C8—1222no—
1443C2×C8—1222no—
1444C2×C8C23×D6111yescharacteristic
1445C2×C8C23×D6111yescharacteristic
1446C2×C8C23×D6111yescharacteristic
1447C2×C8C23×D6111yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4D4×D6111yescharacteristic
1496C4⋊C4C23×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C4⋊C4C23×D6111yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—611no—
1507C22⋊C4—611no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4D4×D6111yescharacteristic
1535C22⋊C4D4×D6111yescharacteristic
1536C42—21no—
1537C42—21no—
1538C42—611no—
1539C42—611no—
1540C42—611no—
1541C42—611no—
1542C42—611no—
1543C42—1221no—
1544C42—1221no—
1545C42—1221no—
1546C42—1221no—
1547C42—1221no—
1548C42—1221no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42C23×D6111yescharacteristic
1556C23—21no—
1557C23—611no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—4881no—
1562C23—4881no—
1563C23—4881no—
1564C23—4881no—
1565C23—4881no—
1566C23—2442no—
1567C23—2442no—
1568C23—2442no—
1569C23—2442no—
1570C23C2×D4×D6111yescharacteristic
1571C23C2×D4×D6111yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—42no—
1578Q8—42no—
1579Q8—1222no—
1580Q8—1221no—
1581Q8—1221no—
1582Q8—4881no—
1583Q8—2442no—
1584Q8—2442no—
1585Q8#41×D6112yes—
1586D4—22no—
1587D4—21no—
1588D4—21no—
1589D4—42no—
1590D4—81no—
1591D4—612no—
1592D4—1222no—
1593D4—1222no—
1594D4—1221no—
1595D4—1221no—
1596D4—1221no—
1597D4—1221no—
1598D4—1221no—
1599D4—4881no—
1600D4—4881no—
1601D4—4881no—
1602D4—4881no—
1603D4—4881no—
1604D4—4881no—
1605D4—4881no—
1606D4—4881no—
1607D4—2442no—
1608D4—2442no—
1609D4—2442no—
1610D4—2442no—
1611D4—2442no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—611no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—611no—
1632C2×C4—611no—
1633C2×C4—611no—
1634C2×C4—1222no—
1635C2×C4—1222no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—4881no—
1649C2×C4—4881no—
1650C2×C4—2442no—
1651C2×C4—2442no—
1652C2×C4—2442no—
1653C2×C4—2442no—
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C24×D6111yescharacteristic
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—612no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—1221no—
1676C22—1221no—
1677C22—1221no—
1678C22—1222no—
1679C22—9762no—
1680C22—9762no—
1681C22—4884no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22—2441no—
1688C22—2441no—
1689C22—2441no—
1690C22#1684057112yes—
1691C22C22×D4×D6111yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—612no—
1704C4—1221no—
1705C4—1221no—
1706C4—1221no—
1707C4—1221no—
1708C4—1221no—
1709C4—1221no—
1710C4—2441no—
1711C4—2441no—
1712C4—2441no—
1713C4—2441no—
1714C4—2441no—
1715C4C2×#41×D6111yescharacteristic
1716C4#1684059711yescharacteristic
1717C2—22no—
1718C2—41no—
1719C2—81no—
1720C2—4881no—
1721C2—4881no—
1722C2—2441no—
1723C2—2442no—
1724C2#2145930311yescharacteristic
1725C2#577×D6111yescharacteristic
1726C2C2×#1684057111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3320C2
socleC22×C61C23×D4
prime radical#21459847C2
hypercenter#3320D61
hypocenterC61#61481
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #21459906C2semidirect
3. #21458795C2semidirect
4. #21458697C2semidirect
5. #21458597C2semidirect
6. #21458549C2semidirect
7. #21458225C2semidirect
8. #21458196C2semidirect
9. #21458192C2semidirect
10. #21458109C2semidirect
11. #21458045C2semidirect
12. #21457986C2semidirect
13. #21457846C2semidirect
14. #21457842C2semidirect
15. D4×#11758201C2semidirect
16. #21457508C2semidirect
17. #21457508C2semidirect
18. #21456450C2semidirect
19. #21456442C2semidirect
20. #21456373C2semidirect
21. #21456112C2semidirect
22. #21456104C2semidirect
23. #21456069C2semidirect
24. #21456067C2semidirect
25. #21455936C2semidirect
26. #21455915C2semidirect
27. #21454789C2semidirect
28. #21454675C2semidirect
29. #21454674C2semidirect
30. C2×#16839847C2semidirect
31. C61×#3320C2semidirect
35. #16840488C22semidirect
37. #16840487C22semidirect
39. #16840483C22semidirect
45. #16840454C22semidirect
47. #16840452C22semidirect
49. Q8×C22⋊D61C22semidirect
50. Q8×C22⋊D61C22semidirect
58. #16840373C22semidirect
60. #16840372C22semidirect
66. #16840314C22semidirect
72. #16840240C22semidirect
73. #16840238C22semidirect
76. C2×Q8×Dic61C22semidirect
78. #16840163C22semidirect
79. #16840161C22semidirect
80. #16840159C22semidirect
81. #16840136C22semidirect
82. #16840133C22semidirect
83. #16840133C22semidirect
84. #16840129C22semidirect
85. #16840127C22semidirect
86. #16840125C22semidirect
87. #16840111C22semidirect
88. #16840107C22semidirect
89. #16840103C22semidirect
90. #16840102C22semidirect
91. #16840101C22semidirect
92. #16840097C22semidirect
93. #16840089C22semidirect
94. #16840088C22semidirect
95. #16840087C22semidirect
96. #16840083C22semidirect
97. #16840076C22semidirect
98. #16840073C22semidirect
99. #16840071C22semidirect
100. #16840067C22semidirect
101. #16840066C22semidirect
102. #16840065C22semidirect
104. #16840062C22semidirect
106. #16840055C22semidirect
107. #16840055C22semidirect
109. #16840041C22semidirect
110. #16840011C22semidirect
111. #16840011C22semidirect
112. #16840008C22semidirect
113. #16839994C22semidirect
114. #16839994C22semidirect
115. #16839993C22semidirect
116. #16839993C22semidirect
117. #16839991C22semidirect
118. #16839989C22semidirect
119. #16839989C22semidirect
122. #16839966C22semidirect
123. #16839966C22semidirect
125. #16839963C22semidirect
126. #16839962C22semidirect
127. #16839960C22semidirect
128. #16839960C22semidirect
129. #16839960C22semidirect
130. #16839960C22semidirect
137. #16839902C22semidirect
138. #16839902C22semidirect
139. #16839901C22semidirect
140. #16839901C22semidirect
141. #16839890C22semidirect
142. #16839886C22semidirect
145. #16839865C22semidirect
146. #16839865C22semidirect
147. #16839865C22semidirect
148. #16839865C22semidirect
150. #16839863C22semidirect
151. #16839863C22semidirect
153. #16839861C22semidirect
154. #16839853C22semidirect
155. SD16×Dic61C22semidirect
157. #16839849C22semidirect
158. C4×#11758200C22semidirect
164. #16839847C22semidirect
165. #16839847C22semidirect
166. #16839847C22semidirect
167. #16839847C22semidirect
168. #16839847C22semidirect
169. #16839847C22semidirect
170. #16839838C22semidirect
171. #16839833C22semidirect
172. D4×#92418C22semidirect
173. #16839825C22semidirect
174. #16839825C22semidirect
175. #16839822C22semidirect
176. #16839820C22semidirect
177. #16839816C22semidirect
178. #16839799C22semidirect
179. #16839798C22semidirect
180. C2×#14519708C22semidirect
181. #16839769C22semidirect
185. #16839720C22semidirect
186. #16839719C22semidirect
187. C2×C8×Dic61C22semidirect
189. D4×Q8×C61C22semidirect
190. C61×#491C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
193. C61×#479C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#461C22semidirect
197. C61×#448C22semidirect
198. C61×#448C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#419C22semidirect
202. C2×#103×C61C22semidirect
603. #11758201#41semidirect
866. #3320D61semidirect
915. D4×Q8C2×D61semidirect
950. #491C2×D61semidirect
958. #485C2×D61semidirect
960. #484C2×D61semidirect
970. #479C2×D61semidirect
982. #468C2×D61semidirect
990. #465C2×D61semidirect
996. #461C2×D61semidirect
1013. #448C2×D61semidirect
1014. #448C2×D61semidirect
1028. #440C2×D61semidirect
1047. #435C2×D61semidirect
1058. #419C2×D61semidirect
1061. C2×#103C2×D61semidirect
1066. C61#61481semidirect

Maximal subgroups

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

subgroupindex
#214599062
#214598472
#214587952
#214586972
#214585972
#214585492
#214582252
#214581962
#214581922
#214581092
#214580452
#214579862
#214578462
#214578422
D4×#117582012
#214575082
#214564502
#214564422
#214563732
#214561122
#214561042
#214560692
#214560672
#214559362
#214559152
#214547892
#214546752
#214546742
C2×#168398472
C61×#33202
#6148161