Finite Group Databasebeta

← #30561459

Subgroups — #30561459

Order 15616.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459410C211yesmaximal, characteristic, complemented
2#21459375C211yesmaximal, characteristic, complemented
3#21458812C211yesmaximal, characteristic, complemented
4#21458691C211yesmaximal, characteristic, complemented
5#21458501C211yesmaximal, characteristic, complemented
6#21458476C211yesmaximal, characteristic, complemented
7#21458227C211yesmaximal, characteristic, complemented
8#21458197C211yesmaximal, characteristic, complemented
9#21458193C211yesmaximal, characteristic, complemented
10#21457764C211yesmaximal, characteristic, complemented
11#21457731C211yesmaximal, characteristic, complemented
12#21457705C211yesmaximal, characteristic, complemented
13#21457701C211yesmaximal, characteristic, complemented
14#21457668C211yesmaximal, characteristic, complemented
15#21457664C211yesmaximal, characteristic, complemented
16#21457546C211yesmaximal, characteristic, complemented
17#21457533C211yesmaximal, characteristic, complemented
18#21457525C211yesmaximal, characteristic, complemented
19#21456385C211yesmaximal, characteristic, complemented
20#21456375C211yesmaximal, characteristic, complemented
21#21455856C211yesmaximal, characteristic, complemented
22#21455843C211yesmaximal, characteristic, complemented
23#21455833C211yesmaximal, characteristic, complemented
24#21455831C211yesmaximal, characteristic, complemented
25#21455831C211yesmaximal, characteristic, complemented
26#21455817C211yesmaximal, characteristic, complemented
27C8×#11758222C211yesmaximal, characteristic, complemented
28C4×#14519799C211yesmaximal, characteristic, complemented
29C4×#14519798C211yesmaximal, characteristic, complemented
30C4×SD16×D61C211yesmaximal, characteristic, complemented
31C61×#3168C211yesmaximal, characteristic, complemented
32C2×#14519799C2211yescharacteristic
33C2×#14519798C2211yescharacteristic
34C2×SD16×D61C2211yescharacteristic
35#16840496—21no—
36#16840494C2211yescharacteristic, complemented
37#16840489C2211yescharacteristic, complemented
38#16840483C2211yescharacteristic, complemented
39#16840481C2211yescharacteristic
40#16840479—21no—
41#16840476C2211yescharacteristic
42#16840468C2211yescharacteristic
43#16840465C2211yescharacteristic
44#16840463—21no—
45#16840459C2211yescharacteristic
46#16840457—21no—
47#16840457—21no—
48#16840450C2211yescharacteristic
49#16840448—21no—
50#16840446C2211yescharacteristic
51#16840440—21no—
52#16840437—21no—
53#16840430C2211yescharacteristic, complemented
54#16840422C2211yescharacteristic
55#16840420C2211yescharacteristic
56#16840414C2211yescharacteristic
57#16840409C2211yescharacteristic
58#16840405C2211yescharacteristic
59#16840316C2211yescharacteristic
60#16840309—21no—
61#16840309C2211yescharacteristic
62#16840299C2211yescharacteristic, complemented
63#16840294—21no—
64#16840294C2211yescharacteristic
65#16840292—21no—
66#16840290—21no—
67#16840290—21no—
68#16840271—21no—
69C4×#11758226C2211yescharacteristic
70C4×#11758222C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C4×#11758222C2211yescharacteristic, complemented
73#16840230—21no—
74C4×#11758224C2211yescharacteristic, complemented
75C4×Q8×D61C2211yescharacteristic
76C4×D4×D61C2211yescharacteristic
77#117×D61—21no—
78#16840162C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840143C2211yescharacteristic
81#16840133C2211yescharacteristic, complemented
82#16840118C2211yescharacteristic, complemented
83#16840115C2211yescharacteristic
84#16840111C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840105C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840100C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic
91#16840096C2211yescharacteristic
92#16840089C2211yescharacteristic, complemented
93#16840084C2211yescharacteristic
94#16840083C2211yescharacteristic
95#16840083C2211yescharacteristic, complemented
96#16840077C2211yescharacteristic
97#16840074C2211yescharacteristic
98#16840071C2211yescharacteristic, complemented
99#16840068C2211yescharacteristic, complemented
100#16840066C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840060C2211yescharacteristic, complemented
104#16840059C2211yescharacteristic
105#16840059C2211yescharacteristic, complemented
106#16840056C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840041C2211yescharacteristic
109#16840040C2211yescharacteristic
110#16840002C2211yescharacteristic, complemented
111#16839997C2211yescharacteristic
112#16839994C2211yescharacteristic
113#16839992C2211yescharacteristic
114#16839992C2211yescharacteristic, complemented
115#16839990C2211yescharacteristic
116#16839988C2211yescharacteristic
117#16839988C2211yescharacteristic
118#16839986C2211yescharacteristic, complemented
119#16839983C2211yescharacteristic
120#16839981C2211yescharacteristic
121#16839981C2211yescharacteristic, complemented
122#16839980C2211yescharacteristic
123#16839975C2211yescharacteristic
124#16839974C2211yescharacteristic
125#16839974C2211yescharacteristic
126#16839971C2211yescharacteristic, complemented
127#16839970C2211yescharacteristic, complemented
128#16839956C2211yescharacteristic
129#16839955C2211yescharacteristic
130#16839925C2211yescharacteristic, complemented
131#16839923C2211yescharacteristic
132#16839922C2211yescharacteristic
133#16839922C2211yescharacteristic, complemented
134#16839919C2211yescharacteristic
135#16839916C2211yescharacteristic
136#16839910C2211yescharacteristic
137#16839905C2211yescharacteristic
138#16839905C2211yescharacteristic
139#16839904C2211yescharacteristic
140#16839897C2211yescharacteristic
141#16839894C2211yescharacteristic
142C8×Dic122C2211yescharacteristic, complemented
143C8×Dic122C2211yescharacteristic, complemented
144C4×Dic244C2211yescharacteristic, complemented
145C4×Dic244C2211yescharacteristic, complemented
146C4×#11758202C2211yescharacteristic, complemented
147C4×#11758202C2211yescharacteristic, complemented
148#16839854C2211yescharacteristic, complemented
149#16839853C2211yescharacteristic
150C4×#11758190C2211yescharacteristic
151C4×#11758190C2211yescharacteristic
152C4×#11758190C2211yescharacteristic, complemented
153C4×#11758190C2211yescharacteristic, complemented
154SD16×Dic61C2211yescharacteristic
155SD16×Dic61C2211yescharacteristic, complemented
156C4×#11758201C2211yescharacteristic
157C4×#11758201C2211yescharacteristic, complemented
158#16839849C2211yescharacteristic
159#16839849C2211yescharacteristic
160C4×#11758200C2211yescharacteristic
161C4×#11758200C2211yescharacteristic, complemented
162#16839847C2211yescharacteristic
163C4×D488C2211yescharacteristic
164C4×D488C2211yescharacteristic
165C4×#11758199C2211yescharacteristic
166C4×#11758199C2211yescharacteristic
167#16839842C2211yescharacteristic
168C8×D244C2211yescharacteristic
169C8×D244C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171C8×C22⋊D61C2211yescharacteristic
172C8×C22⋊D61C2211yescharacteristic, complemented
173C8×C22⋊D61C2211yescharacteristic, complemented
174#16839815C2211yescharacteristic, complemented
175#16839813C2211yescharacteristic
176#16839813C2211yescharacteristic, complemented
177#16839800C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#106×D61C2211yescharacteristic
180#16839759C2211yescharacteristic
181#16839759C2211yescharacteristic, complemented
182#16839757C2211yescharacteristic
183#16839755C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic
185#102×D61C2211yescharacteristic
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#529C2211yescharacteristic
189C61×#529C2211yescharacteristic, complemented
190C61×#499C2211yescharacteristic, complemented
191C61×#495C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#488C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic
196C61×#465C2211yescharacteristic
197C61×#465C2211yescharacteristic, complemented
198C4×Q16×C61C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic
202C2×C4×C8×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222D411yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×D4×D61C2311yescharacteristic
211C22×C4×D61—21no—
212#14519799—24no—
213#14519798—24no—
214C2×Dic244C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223SD16×D61—24no—
224C2×D488C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229C2×C8×D61C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519776—21no—
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519775C2311yescharacteristic
235#14519773—21no—
236#14519773C2311yescharacteristic
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519768—21no—
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766C2311yescharacteristic
255#14519764—21no—
256#14519764C2311yescharacteristic
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519761—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519757—21no—
276#14519757C2311yescharacteristic
277#14519757C2311yescharacteristic
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519754—21no—
283#14519754—21no—
284#14519753C2311yescharacteristic
285#14519753C2311yescharacteristic
286#14519752—21no—
287#14519752C2311yescharacteristic
288#14519752C2311yescharacteristic
289#14519750—21no—
290#14519750—21no—
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519749—21no—
296#14519749—21no—
297#14519748—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519747—21no—
302#14519745—21no—
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122D411yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742C2311yescharacteristic
317#14519742C2311yescharacteristic
318C4×D244—21no—
319C4×D244—21no—
320C4×D244D411yescharacteristic
321C4×D244C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328#14519739—21no—
329#14519739—21no—
330#14519739—21no—
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61D411yescharacteristic
342C4×C22⋊D61D411yescharacteristic
343C4×C22⋊D61C2311yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736—21no—
352#14519736D411yescharacteristic
353#14519736C2311yescharacteristic
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734D411yescharacteristic
365#14519734D411yescharacteristic
366#14519733—21no—
367#14519733—21no—
368#14519733—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C2×C4×Dic61—21no—
378C42×D61—21no—
379C42×D61—21no—
380C42×D61—21no—
381C42×D61—21no—
382C42×D61C2311yescharacteristic
383C42×D61C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C22×C8×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444#126×C61—21no—
445#126×C61—21no—
446#125×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448#124×C61C2311yescharacteristic
449#124×C61C2311yescharacteristic
450#123×C61—21no—
451#123×C61—21no—
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×D4×C61—21no—
459C4×D4×C61—21no—
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61—21no—
464C2×C42×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C4×C8×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2×D411yescharacteristic
491C22×C4×C61C2×D411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61C2×D411yescharacteristic
502C2×C22⋊D61C2×D411yescharacteristic
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506#11758226—22no—
507#11758226—41no—
508Q8×D61—22no—
509Q8×D61—41no—
510#11758224—22no—
511#11758224—41no—
512D4×D61—22no—
513D4×D61—41no—
514#11758222—24no—
515#11758222—22no—
516#11758222—22no—
517#11758222—41no—
518#11758222—41no—
519#11758222—44no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244C2×D411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×D244C2411yescharacteristic
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—44no—
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2411yescharacteristic
544C2×C4×D61C2411yescharacteristic
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122C2×D411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552SD16×C61—22no—
553SD16×C61—22no—
554D8×C61—41no—
555C2×C8×C61—22no—
556C2×C8×C61—41no—
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
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×C61—21no—
583C42×C61—21no—
584C42×C61—21no—
585C42×C61C2×D411yescharacteristic
586C42×C61C2×D411yescharacteristic
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61C2×D411yescharacteristic
598C22⋊Dic61C2×D411yescharacteristic
599#11758202—22no—
600#11758202—41no—
601#11758201—22no—
602#11758201—41no—
603#11758200—22no—
604#11758200—41no—
605#11758199—22no—
606#11758199—41no—
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#11758198—21no—
622#11758198—21no—
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626#11758198C2×D411yescharacteristic
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2×D411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
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#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681Dic244—22no—
682D488—22no—
683#11758190—22no—
684#11758190#4114yescomplemented
685C8×D61—22no—
686C8×D61—22no—
687C8×D61—41no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61C22×D411yescharacteristic
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—42no—
695C22×D61—42no—
696C22×D61—81no—
697C22×D61C22×D411yescharacteristic
698C22×D61C22×D411yescharacteristic
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—81no—
708D4×C61—81no—
709C2×C4×C61—22no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—41no—
719C2×C4×C61—42no—
720C2×C4×C61—42no—
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C2511yescharacteristic
727C22⋊D61—22no—
728C22⋊D61—22no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—42no—
734C22⋊D61—42no—
735C22⋊D61—81no—
736C22⋊D61—81no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—81no—
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752D244—22no—
753D244—21no—
754D244—21no—
755D244—21no—
756D244—42no—
757D244—42no—
758D244—81no—
759D244C2×#4112yes—
760C4×D61—22no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—21no—
764C4×D61—21no—
765C4×D61—41no—
766C4×D61—41no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—42no—
772C4×D61—42no—
773C4×D61—42no—
774C4×D61—42no—
775C4×D61—81no—
776C4×D61—81no—
777C4×D61—81no—
778C4×D61—81no—
779C4×D61#13514yescomplemented
780Dic122—21no—
781Dic122—22no—
782Dic122—21no—
783Dic122—21no—
784Dic122—42no—
785Dic122—42no—
786Dic122—81no—
787Dic122C2×#4112yes—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61C2×#4112yes—
792#92418—21no—
793#92418—21no—
794#92418—21no—
795#92418—21no—
796#61428—611nomaximal, Sylow
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61C23×D411yescharacteristic
807C2×D61—21no—
808C2×D61—21no—
809C2×D61—21no—
810C2×D61—21no—
811C2×D61—22no—
812C2×D61—21no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—84no—
819C2×D61C2×#13512yes—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61C2×#13512yes—
831C4×C61C22×#4111yescharacteristic
832C4×C61#58511yescharacteristic
833Dic61—21no—
834Dic61—21no—
835Dic61—22no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61C2×#13512yes—
845#3480—611no—
846#3475—611no—
847#3394—611no—
848#3381—611no—
849#3364—611no—
850#3361—611no—
851#3340—611no—
852#3337—611no—
853#3337—611no—
854#3305—611no—
855#3302—611no—
856#3300—611no—
857#3300—611no—
858#3297—611no—
859#3297—611no—
860#3284—611no—
861#3282—611no—
862#3282—611no—
863#3168—611no—
864#3168D6111yescharacteristic, complemented
865#3167—611no—
866#3104—611no—
867#3102—611no—
868#3102—611no—
869#3102—611no—
870#3102—611no—
871#3100—611no—
872C8×#41—611no—
873C4×#135—611no—
874C4×#135—611no—
875C2×C4×SD16—611no—
876C2×C61—41no—
877C2×C61—81no—
878C2×C61—81no—
879C2×C61D4×#4111yescharacteristic
880C2×C61C22×#13511yescharacteristic
881C2×C61#358411yescharacteristic
882D61—22no—
883D61—41no—
884D61—42no—
885D61—81no—
886C2×#135—611no—
887C2×#135—611no—
888C22×SD16—611no—
889#559—611no—
890#559—1221no—
891#557—611no—
892#556—611no—
893#556—611no—
894#556—1221no—
895#555—611no—
896#554—611no—
897#553—611no—
898#553—611no—
899#553—1221no—
900#553—1221no—
901#553—1221no—
902#552—611no—
903#552—611no—
904#552—1221no—
905#551—1221no—
906#551—1221no—
907#550—611no—
908#548—611no—
909#548—611no—
910#547—611no—
911#546—611no—
912#546—611no—
913#533—611no—
914#532—611no—
915#532—1221no—
916#529—611no—
917#529—611no—
918#529—1221no—
919#529—1221no—
920#529—1221no—
921#529—1221no—
922#529C2×D6111yescharacteristic
923#529C2×D6111yescharacteristic, complemented
924#525—1221no—
925C4×#41—611no—
926C4×#41—611no—
927C4×#41—611no—
928C4×#41—611no—
929C4×#41—611no—
930C4×#41—1221no—
931C2×C4×Q8—611no—
932C2×C4×D4—611no—
933C2×#117—1221no—
934#499—611no—
935#499C2×D6111yescharacteristic, complemented
936#498—611no—
937#495—611no—
938#495C2×D6111yescharacteristic
939#492—611no—
940#488—611no—
941#488—611no—
942#488C2×D6111yescharacteristic
943#488C2×D6111yescharacteristic, complemented
944#487—611no—
945#486—611no—
946#485—611no—
947#485—611no—
948#485—611no—
949#485—611no—
950#484—611no—
951#484—611no—
952#482—611no—
953#482—611no—
954#482—611no—
955#482—611no—
956#480—611no—
957#480—611no—
958#479—611no—
959#479—611no—
960#479—611no—
961#479—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#477—611no—
967#477—611no—
968#474—611no—
969#474—611no—
970#467—611no—
971#467C2×D6111yescharacteristic, complemented
972#466—611no—
973#466C2×D6111yescharacteristic
974#465—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465C2×D6111yescharacteristic
981#465C2×D6111yescharacteristic, complemented
982#464—611no—
983#464—611no—
984#464—611no—
985#464—611no—
986#463—611no—
987#463—611no—
988#463—611no—
989#463—611no—
990#462—611no—
991#462—611no—
992#459—611no—
993#459—611no—
994#452—611no—
995#452—611no—
996#452—611no—
997#452—611no—
998#451—611no—
999#451—611no—
1000#449—611no—
1001#449—611no—
1002#449—611no—
1003#449—611no—
1004#447—611no—
1005#447—611no—
1006C8×Q8—611no—
1007C8×Q8—611no—
1008C4×Q16—611no—
1009C4×Q16—611no—
1010C4×Q16—611no—
1011C4×Q16—611no—
1012C4×Q16—611no—
1013C4×Q16C2×D6111yescharacteristic, complemented
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16—611no—
1027C4×SD16—611no—
1028C4×SD16C2×D6111yescharacteristic
1029C4×SD16C2×D6111yescharacteristic, complemented
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8—611no—
1034C4×D8—611no—
1035C4×D8C2×D6111yescharacteristic
1036C8×D4—611no—
1037C8×D4—611no—
1038C8×D4—611no—
1039C8×D4—611no—
1040C8×D4—611no—
1041C8×D4—611no—
1042#431—611no—
1043#431—611no—
1044#431—611no—
1045#427—611no—
1046#427—611no—
1047C2×#106—611no—
1048#416—611no—
1049#416—611no—
1050#416—611no—
1051#416—611no—
1052C2×#103—611no—
1053C2×#102—611no—
1054C2×C4×C8—611no—
1055C2×C4×C8—611no—
1056C2×C4×C8C2×D6111yescharacteristic, complemented
1057C61#6142811yescharacteristic, complemented, Sylow
1058C2×#41—611no—
1059C2×#41—611no—
1060C2×#41—611no—
1061C2×#41—611no—
1062C2×#41—611no—
1063C2×#41—1221no—
1064C22×Q8—611no—
1065C22×D4—611no—
1066C23×C4—1221no—
1067#135—1224no—
1068#135—1224no—
1069C2×Q16—611no—
1070C2×Q16—611no—
1071C2×Q16—611no—
1072C2×Q16C22×D6111yescharacteristic
1073C2×SD16—611no—
1074C2×SD16—611no—
1075C2×SD16—611no—
1076C2×SD16—611no—
1077C2×SD16—611no—
1078C2×SD16—611no—
1079C2×SD16—1224no—
1080C2×SD16C22×D6111yescharacteristic
1081C2×SD16C22×D6111yescharacteristic
1082C2×D8—611no—
1083C2×D8—611no—
1084C2×D8—611no—
1085C2×D8C22×D6111yescharacteristic
1086C22×C8—611no—
1087C22×C8—611no—
1088C22×C8—611no—
1089C22×C8—611no—
1090C22×C8C22×D6111yescharacteristic
1091C22×C8C22×D6111yescharacteristic
1092C4⋊Q8—611no—
1093C4⋊Q8—611no—
1094C4⋊Q8—611no—
1095C4⋊Q8—1221no—
1096#127—611no—
1097#127—1221no—
1098#126—21no—
1099#126—21no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#125—611no—
1111#125—611no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#125—1221no—
1116#125—1221no—
1117#125C22×D6111yescharacteristic
1118#125C22×D6111yescharacteristic
1119#124—611no—
1120#124—611no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#124C22×D6111yescharacteristic
1129#124C22×D6111yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8C22×D6111yescharacteristic
1156C22⋊Q8C22×D6111yescharacteristic
1157#121—611no—
1158#121—611no—
1159#121—611no—
1160#121—611no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121C22×D6111yescharacteristic
1173#121C22×D6111yescharacteristic
1174#120—1221no—
1175#120—1221no—
1176C4×Q8—611no—
1177C4×Q8—611no—
1178C4×Q8—611no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—1221no—
1187C4×Q8—1221no—
1188C4×Q8—1221no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8C22×D6111yescharacteristic
1192C4×Q8C22×D6111yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4C22×D6111yescharacteristic
1229C4×D4C22×D6111yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—611no—
1238#117—611no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—1221no—
1253C2×C4⋊C4—1221no—
1254C2×C4⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C22⋊C4—1221no—
1257C2×C22⋊C4—1221no—
1258C2×C42—611no—
1259C2×C42—611no—
1260C2×C42—1221no—
1261C2×C42—1221no—
1262C2×C42—1221no—
1263C2×C42—1221no—
1264C2×C42—1221no—
1265C2×C42C22×D6111yescharacteristic
1266#107—611no—
1267#107—611no—
1268#107—611no—
1269#107—611no—
1270#107—611no—
1271#107—611no—
1272#107C22×D6111yescharacteristic
1273#107C22×D6111yescharacteristic
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106—611no—
1280#106C22×D6111yescharacteristic
1281#106C22×D6111yescharacteristic
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103C22×D6111yescharacteristic
1301#103C22×D6111yescharacteristic
1302#103C22×D6111yescharacteristic
1303#103C22×D6111yescharacteristic
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102C22×D6111yescharacteristic
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320C22⋊C8—611no—
1321C22⋊C8—611no—
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8—611no—
1329C4×C8—611no—
1330C4×C8—611no—
1331C4×C8—611no—
1332C4×C8C22×D6111yescharacteristic
1333C4×C8C22×D6111yescharacteristic
1334C4×C8C22×D6111yescharacteristic
1335C4×C8C22×D6111yescharacteristic
1336C24—1221no—
1337#41—1224no—
1338#41—1222no—
1339#41—1222no—
1340#41—1222no—
1341#41—1222no—
1342#41—2441no—
1343#41—2441no—
1344#41—2444no—
1345#41—2441no—
1346#41—2441no—
1347C2×Q8—611no—
1348C2×Q8—611no—
1349C2×Q8—611no—
1350C2×Q8—1221no—
1351C2×Q8—1221no—
1352C2×Q8—1221no—
1353C2×Q8—1222no—
1354C2×Q8—2441no—
1355C2×Q8C23×D6111yescharacteristic
1356C2×Q8C23×D6111yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—611no—
1362C2×D4—611no—
1363C2×D4—611no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1222no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—2441no—
1377C2×D4C23×D6111yescharacteristic
1378C2×D4C23×D6111yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—611no—
1382C22×C4—611no—
1383C22×C4—611no—
1384C22×C4—611no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—2444no—
1403C22×C4D4×D6111yescharacteristic
1404C22×C4D4×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406Q16—41no—
1407Q16—1222no—
1408Q16—1222no—
1409Q16—2441no—
1410SD16—22no—
1411SD16—22no—
1412SD16—614no—
1413SD16—1222no—
1414SD16—1222no—
1415SD16—1222no—
1416SD16—2441no—
1417SD16—2441no—
1418D8—41no—
1419D8—1222no—
1420D8—1222no—
1421D8—2441no—
1422C2×C8—22no—
1423C2×C8—41no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—611no—
1428C2×C8—1222no—
1429C2×C8—1222no—
1430C2×C8—2441no—
1431C2×C8—2441no—
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C2×C8C23×D6111yescharacteristic
1435C2×C8C23×D6111yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—611no—
1450C4⋊C4—611no—
1451C4⋊C4—611no—
1452C4⋊C4—611no—
1453C4⋊C4—611no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4C23×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C4⋊C4C23×D6111yescharacteristic
1479C4⋊C4C23×D6111yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—611no—
1491C22⋊C4—611no—
1492C22⋊C4—611no—
1493C22⋊C4—611no—
1494C22⋊C4—611no—
1495C22⋊C4—611no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
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—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C42—21no—
1521C42—21no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42—1221no—
1536C42—1221no—
1537C42—1221no—
1538C42—1221no—
1539C42—1221no—
1540C42D4×D6111yescharacteristic
1541C42D4×D6111yescharacteristic
1542C42C23×D6111yescharacteristic
1543C42C23×D6111yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—611no—
1547C23—611no—
1548C23—1221no—
1549C23—1221no—
1550C23—4881no—
1551C23—2442no—
1552C23—2442no—
1553C23C2×D4×D6111yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—612no—
1559Q8—1222no—
1560Q8—1221no—
1561Q8—1221no—
1562Q8—1221no—
1563Q8—4881no—
1564Q8—2442no—
1565Q8—2442no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—81no—
1571D4—81no—
1572D4—612no—
1573D4—1222no—
1574D4—1222no—
1575D4—1222no—
1576D4—1221no—
1577D4—1221no—
1578D4—1221no—
1579D4—4881no—
1580D4—4881no—
1581D4—4881no—
1582D4—2442no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4—2442no—
1587D4—2442no—
1588D4—2442no—
1589D4—2442no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—611no—
1603C2×C4—614no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—611no—
1607C2×C4—611no—
1608C2×C4—611no—
1609C2×C4—1221no—
1610C2×C4—1222no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—2441no—
1626C2×C4—2441no—
1627C2×C4—2442no—
1628C2×C4—2442no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4—2442no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C2×D4×D6111yescharacteristic
1641C2×C4C2×D4×D6111yescharacteristic
1642C2×C4C24×D6111yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—1221no—
1647C8—1221no—
1648C8—1221no—
1649C8—1221no—
1650C8#41×D6112yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—612no—
1661C22—1221no—
1662C22—1221no—
1663C22—1221no—
1664C22—1221no—
1665C22—1222no—
1666C22—1221no—
1667C22—4884no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22C22×D4×D6111yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—612no—
1685C4—1221no—
1686C4—1221no—
1687C4—1221no—
1688C4—1222no—
1689C4—1221no—
1690C4—1221no—
1691C4—2441no—
1692C4—2441no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4#135×D6112yes—
1697C4C2×#41×D6111yescharacteristic
1698C4#1684059811yescharacteristic
1699C2—41no—
1700C2—81no—
1701C2—81no—
1702C2—1222no—
1703C2—4881no—
1704C2—2441no—
1705C2—2442no—
1706C2#2145930511yescharacteristic
1707C2C2×#135×D6111yescharacteristic
1708C2#2146058811yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3168C2
socleC22×C61C23×D4
hypercenter#3168D61
hypocenterC61#61428
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3168

Complements

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

NH ≅ G/Ntype
1. #21459410C2semidirect
2. #21459375C2semidirect
3. #21458812C2semidirect
4. #21458691C2semidirect
5. #21458501C2semidirect
6. #21458476C2semidirect
7. #21458227C2semidirect
8. #21458197C2semidirect
9. #21458193C2semidirect
10. #21457764C2semidirect
11. #21457731C2semidirect
12. #21457705C2semidirect
13. #21457701C2semidirect
14. #21457668C2semidirect
15. #21457664C2semidirect
16. #21457546C2semidirect
17. #21457533C2semidirect
18. #21457525C2semidirect
19. #21456385C2semidirect
20. #21456375C2semidirect
21. #21455856C2semidirect
22. #21455843C2semidirect
23. #21455833C2semidirect
24. #21455831C2semidirect
25. #21455831C2semidirect
26. #21455817C2semidirect
27. C8×#11758222C2semidirect
28. C4×#14519799C2semidirect
29. C4×#14519798C2semidirect
30. C4×SD16×D61C2semidirect
31. C61×#3168C2semidirect
36. #16840494C22semidirect
37. #16840489C22semidirect
38. #16840483C22semidirect
53. #16840430C22semidirect
62. #16840299C22semidirect
72. C4×#11758222C22semidirect
74. C4×#11758224C22semidirect
78. #16840162C22semidirect
79. #16840159C22semidirect
81. #16840133C22semidirect
82. #16840118C22semidirect
84. #16840111C22semidirect
85. #16840107C22semidirect
86. #16840105C22semidirect
87. #16840102C22semidirect
88. #16840100C22semidirect
89. #16840100C22semidirect
92. #16840089C22semidirect
95. #16840083C22semidirect
98. #16840071C22semidirect
99. #16840068C22semidirect
100. #16840066C22semidirect
101. #16840066C22semidirect
103. #16840060C22semidirect
105. #16840059C22semidirect
106. #16840056C22semidirect
107. #16840055C22semidirect
110. #16840002C22semidirect
114. #16839992C22semidirect
118. #16839986C22semidirect
121. #16839981C22semidirect
126. #16839971C22semidirect
127. #16839970C22semidirect
130. #16839925C22semidirect
133. #16839922C22semidirect
142. C8×Dic122C22semidirect
143. C8×Dic122C22semidirect
144. C4×Dic244C22semidirect
145. C4×Dic244C22semidirect
146. C4×#11758202C22semidirect
147. C4×#11758202C22semidirect
148. #16839854C22semidirect
152. C4×#11758190C22semidirect
153. C4×#11758190C22semidirect
155. SD16×Dic61C22semidirect
157. C4×#11758201C22semidirect
161. C4×#11758200C22semidirect
172. C8×C22⋊D61C22semidirect
173. C8×C22⋊D61C22semidirect
174. #16839815C22semidirect
176. #16839813C22semidirect
177. #16839800C22semidirect
178. #16839797C22semidirect
181. #16839759C22semidirect
183. #16839755C22semidirect
187. C4×C8×D61C22semidirect
189. C61×#529C22semidirect
190. C61×#499C22semidirect
193. C61×#488C22semidirect
194. C61×#467C22semidirect
197. C61×#465C22semidirect
198. C4×Q16×C61C22semidirect
200. C4×SD16×C61C22semidirect
202. C2×C4×C8×C61C22semidirect
684. #11758190#41semidirect
779. C4×D61#135semidirect
864. #3168D61semidirect
923. #529C2×D61semidirect
935. #499C2×D61semidirect
943. #488C2×D61semidirect
971. #467C2×D61semidirect
981. #465C2×D61semidirect
1013. C4×Q16C2×D61semidirect
1029. C4×SD16C2×D61semidirect
1056. C2×C4×C8C2×D61semidirect
1057. C61#61428semidirect

Maximal subgroups

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

subgroupindex
#214594102
#214593752
#214588122
#214586912
#214585012
#214584762
#214582272
#214581972
#214581932
#214577642
#214577312
#214577052
#214577012
#214576682
#214576642
#214575462
#214575332
#214575252
#214563852
#214563752
#214558562
#214558432
#214558332
#214558312
#214558172
C8×#117582222
C4×#145197992
C4×#145197982
C4×SD16×D612
C61×#31682
#6142861