Finite Group Databasebeta

← #30562462

Subgroups — #30562462

Order 15616.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459827C211yesmaximal, characteristic, complemented
2#21459776C211yesmaximal, characteristic, complemented
3#21458818C211yesmaximal, characteristic, complemented
4#21458678C211yesmaximal, characteristic, complemented
5#21458634C211yesmaximal, characteristic, complemented
6#21458534C211yesmaximal, characteristic, complemented
7#21458232C211yesmaximal, characteristic, complemented
8#21458230C211yesmaximal, characteristic, complemented
9#21458225C211yesmaximal, characteristic, complemented
10#21458098C211yesmaximal, characteristic, complemented
11#21458056C211yesmaximal, characteristic, complemented
12#21458001C211yesmaximal, characteristic, complemented
13#21457861C211yesmaximal, characteristic, complemented
14#21457857C211yesmaximal, characteristic, complemented
15#21457529C211yesmaximal, characteristic, complemented
16#21457527C211yesmaximal, characteristic, complemented
17#21457508C211yesmaximal, characteristic, complemented
18#21456435C211yesmaximal, characteristic, complemented
19#21456431C211yesmaximal, characteristic, complemented
20#21456373C211yesmaximal, characteristic, complemented
21#21456055C211yesmaximal, characteristic, complemented
22#21456041C211yesmaximal, characteristic, complemented
23#21456002C211yesmaximal, characteristic, complemented
24#21455998C211yesmaximal, characteristic, complemented
25#21455976C211yesmaximal, characteristic, complemented
26#21455963C211yesmaximal, characteristic, complemented
27#21454789C211yesmaximal, characteristic, complemented
28#21454675C211yesmaximal, characteristic, complemented
29#21454674C211yesmaximal, characteristic, complemented
30#21454587C211yesmaximal, characteristic, complemented
31C61×#3321C211yesmaximal, characteristic, complemented
32C2×#14519797C2211yescharacteristic
33C22×#11758201C2211yescharacteristic
34C2×SD16×D61C2211yescharacteristic
35#16840495C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic, complemented
37#16840483—21no—
38#16840483C2211yescharacteristic, complemented
39#16840482—21no—
40#16840482C2211yescharacteristic, complemented
41#16840481—21no—
42#16840481C2211yescharacteristic, complemented
43#16840480C2211yescharacteristic
44#16840476—21no—
45#16840476C2211yescharacteristic
46#16840475C2211yescharacteristic
47#16840442—21no—
48#16840436—21no—
49#16840427C2211yescharacteristic
50Q8×C22⋊D61C2211yescharacteristic
51#16840420—21no—
52#16840419C2211yescharacteristic, complemented
53#16840409C2211yescharacteristic
54#16840408C2211yescharacteristic
55#16840401—21no—
56#16840396C2211yescharacteristic
57#16840386C2211yescharacteristic
58#16840381—21no—
59#16840381C2211yescharacteristic, complemented
60#16840379—21no—
61#16840379C2211yescharacteristic
62#16840379C2211yescharacteristic, complemented
63#16840346—21no—
64#16840344—21no—
65#16840314—21no—
66#16840314C2211yescharacteristic, complemented
67#16840307C2211yescharacteristic
68#16840292—21no—
69#16840292C2211yescharacteristic
70#16840290—21no—
71#124×D61—21no—
72#16840240C2211yescharacteristic, complemented
73#16840238C2211yescharacteristic, complemented
74#16840236C2211yescharacteristic
75#16840234C2211yescharacteristic
76#41×Dic61C2211yescharacteristic, complemented
77#16840230C2211yescharacteristic
78#16840159C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840158C2211yescharacteristic, complemented
81#16840145C2211yescharacteristic, complemented
82#16840144C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic
84#16840122C2211yescharacteristic, complemented
85#16840120C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840111C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic
89#16840106C2211yescharacteristic, complemented
90#16840104C2211yescharacteristic, complemented
91#16840103C2211yescharacteristic, complemented
92#16840103C2211yescharacteristic, complemented
93#16840101C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic
95#16840087C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic
98#16840083C2211yescharacteristic, complemented
99#16840056C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840054C2211yescharacteristic, complemented
102#16840053C2211yescharacteristic
103#16840051C2211yescharacteristic
104#16840051C2211yescharacteristic
105#16840045C2211yescharacteristic, complemented
106#16840045C2211yescharacteristic, complemented
107#16840042C2211yescharacteristic, complemented
108#16840041C2211yescharacteristic, complemented
109#16840040C2211yescharacteristic, complemented
110#16840020C2211yescharacteristic, complemented
111#16840019C2211yescharacteristic, complemented
112#16840014C2211yescharacteristic
113#16839994C2211yescharacteristic
114#16839993C2211yescharacteristic, complemented
115#16839991C2211yescharacteristic, complemented
116#16839990C2211yescharacteristic, complemented
117#16839989C2211yescharacteristic
118#16839989C2211yescharacteristic, complemented
119#16839989C2211yescharacteristic, complemented
120#16839985C2211yescharacteristic, complemented
121#16839984C2211yescharacteristic, complemented
122#16839982C2211yescharacteristic, complemented
123#16839982C2211yescharacteristic, complemented
124#16839976C2211yescharacteristic
125#16839976C2211yescharacteristic, complemented
126#16839974C2211yescharacteristic
127#16839971C2211yescharacteristic, complemented
128#16839966C2211yescharacteristic
129#16839960C2211yescharacteristic
130#16839955C2211yescharacteristic
131#16839926C2211yescharacteristic
132#16839922C2211yescharacteristic
133#16839919C2211yescharacteristic, complemented
134#16839918C2211yescharacteristic, complemented
135#16839915C2211yescharacteristic
136#16839911C2211yescharacteristic
137#16839907C2211yescharacteristic, complemented
138#16839902C2211yescharacteristic
139#16839895C2211yescharacteristic
140#16839894C2211yescharacteristic
141#16839890C2211yescharacteristic, complemented
142#16839886C2211yescharacteristic, complemented
143#16839874C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839868C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147#16839865C2211yescharacteristic
148#16839865C2211yescharacteristic
149#16839865C2211yescharacteristic, complemented
150#16839865C2211yescharacteristic, complemented
151#16839864C2211yescharacteristic
152#16839863C2211yescharacteristic, complemented
153#16839861C2211yescharacteristic
154#16839854C2211yescharacteristic, complemented
155#16839854C2211yescharacteristic, complemented
156#16839853C2211yescharacteristic, complemented
157#16839853C2211yescharacteristic, complemented
158#16839853C2211yescharacteristic, complemented
159SD16×Dic61C2211yescharacteristic, complemented
160C4×#11758201C2211yescharacteristic
161#16839849C2211yescharacteristic, complemented
162C4×#11758200C2211yescharacteristic, complemented
163#16839847C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839847C2211yescharacteristic
166#16839847C2211yescharacteristic, complemented
167#16839847C2211yescharacteristic, complemented
168#16839842C2211yescharacteristic
169#16839842C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839833C2211yescharacteristic, complemented
172D4×#92418C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic
174#16839825C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839816C2211yescharacteristic, complemented
178#16839799C2211yescharacteristic, complemented
179#16839798C2211yescharacteristic, complemented
180#16839798C2211yescharacteristic, complemented
181#16839769C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839720C2211yescharacteristic, complemented
186#16839719C2211yescharacteristic, complemented
187C2×C8×Dic61C2211yescharacteristic, complemented
188C61×#555C2211yescharacteristic
189C61×#548C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic
195C61×#465C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#448C2211yescharacteristic
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×Q8×D61—21no—
206C2×Q8×D61C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C2×D4×D61C2311yescharacteristic
210#14519797—24no—
211C2×Dic244C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758201—24no—
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223SD16×D61—24no—
224C2×#11758199C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758189C2311yescharacteristic
227C22×#92418C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229C2×C8×D61C2311yescharacteristic
230#14519777—21no—
231#14519777C2311yescharacteristic
232#14519776—21no—
233#14519776—21no—
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519775—21no—
239#14519775C2311yescharacteristic
240#14519773C2311yescharacteristic
241#14519772—21no—
242#14519772—21no—
243#14519772D411yescharacteristic
244#14519771—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770D411yescharacteristic
255#14519767—21no—
256#14519767D411yescharacteristic
257#14519766—21no—
258#14519765—21no—
259#14519765C2311yescharacteristic
260#14519764—21no—
261#14519764—21no—
262#14519764—21no—
263#14519764—21no—
264#14519764—21no—
265#14519764C2311yescharacteristic
266#14519764C2311yescharacteristic
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763D411yescharacteristic
275#14519762—21no—
276#14519762—21no—
277#14519761—21no—
278#14519761D411yescharacteristic
279#14519760—21no—
280#14519759—21no—
281#14519759—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758D411yescharacteristic
285#14519757C2311yescharacteristic
286#14519756—21no—
287#14519756—21no—
288#14519756C2311yescharacteristic
289#14519756C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519755—21no—
292#14519755—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754D411yescharacteristic
299#14519753—21no—
300#14519753—21no—
301#14519753—21no—
302#14519753C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749D411yescharacteristic
311#14519748—21no—
312#14519748—21no—
313#14519748C2311yescharacteristic
314#14519747—21no—
315#14519745—21no—
316#14519745—21no—
317#14519745—21no—
318Q8×Dic61—21no—
319Q8×Dic61—21no—
320Q8×Dic61C2311yescharacteristic
321Q8×Dic61C2311yescharacteristic
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324Q8×Dic61C2311yescharacteristic
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337C4×D244—21no—
338C4×D244—21no—
339C4×D244C2311yescharacteristic
340D4×Dic61—21no—
341D4×Dic61—21no—
342D4×Dic61C2311yescharacteristic
343D4×Dic61C2311yescharacteristic
344D4×Dic61C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61C2311yescharacteristic
355C4×C22⋊D61C2311yescharacteristic
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519736—21no—
361#14519736—21no—
362#14519736—21no—
363#14519736C2311yescharacteristic
364#14519736C2311yescharacteristic
365#14519736C2311yescharacteristic
366#14519735—21no—
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519734—21no—
370#14519734—21no—
371#14519734—21no—
372#14519734C2311yescharacteristic
373#14519733—21no—
374#14519733—21no—
375#14519733—21no—
376C2×#11758198—21no—
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C2×C4×Dic61—21no—
383C2×C4×Dic61C2311yescharacteristic
384C42×D61—21no—
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
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
438C2×#41×C61C2311yescharacteristic
439C22×Q8×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×D8×C61C2311yescharacteristic
443C2×M16×C61C2311yescharacteristic
444C22×C8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#124×C61—21no—
447#124×C61—21no—
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450C22⋊Q8×C61—21no—
451C22⋊Q8×C61C2311yescharacteristic
452#121×C61—21no—
453#121×C61—21no—
454#121×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×D4×C61—21no—
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61—21no—
462#117×C61C2311yescharacteristic
463#117×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×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#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C23×D61—21no—
482C23×D61—21no—
483#41×C61—22no—
484#41×C61—41no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—22no—
488C2×Q8×C61—41no—
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61C2×D411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
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⋊D61C2×D411yescharacteristic
510C2×C22⋊D61C2×D411yescharacteristic
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516Q8×D61—22no—
517Q8×D61—41no—
518Q8×D61—82no—
519#11758224—82no—
520D4×D61—22no—
521D4×D61—41no—
522D4×D61—82no—
523#11758222—22no—
524#11758222—41no—
525C2×D244—22no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—41no—
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
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—21no—
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2411yescharacteristic
548C2×Dic122C2411yescharacteristic
549SD16×C61—22no—
550SD16×C61—41no—
551D8×C61—41no—
552M16×C61—41no—
553C2×C8×C61—41no—
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61C2×D411yescharacteristic
576C22⋊C4×C61C2×D411yescharacteristic
577C42×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61C2×D411yescharacteristic
595C22⋊Dic61C2×D411yescharacteristic
596C22⋊Dic61C2×D411yescharacteristic
597C22⋊Dic61C2×D411yescharacteristic
598#11758202—22no—
599#11758202—41no—
600#11758201—22no—
601#11758201—22no—
602#11758201—22no—
603#11758201#4114yescomplemented
604#11758200—22no—
605#11758200—22no—
606#11758199—22no—
607#11758199—41no—
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#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626C4⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
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×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678C2×#92418—22no—
679C2×#92418—22no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684Dic244—41no—
685#11758190—22no—
686#11758190—41no—
687#11758189—41no—
688C8×D61—22no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61C22×D411yescharacteristic
692C23×C61C22×D411yescharacteristic
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—42no—
696C22×D61—42no—
697C22×D61—81no—
698C22×D61—81no—
699C22×D61—81no—
700C22×D61—81no—
701C22×D61C22×D411yescharacteristic
702Q8×C61—21no—
703Q8×C61—21no—
704Q8×C61—21no—
705Q8×C61—42no—
706Q8×C61—81no—
707Q8×C61C2×#4112yes—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—41no—
713D4×C61—42no—
714D4×C61—81no—
715D4×C61—81no—
716D4×C61—81no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
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—42no—
728C2×C4×C61—42no—
729C2×C4×C61—81no—
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C2511yescharacteristic
735C22⋊D61—22no—
736C22⋊D61—41no—
737C22⋊D61—42no—
738C22⋊D61—42no—
739C22⋊D61—42no—
740C22⋊D61—81no—
741C22⋊D61—81no—
742C22⋊D61—81no—
743C2×Dic61—22no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—41no—
751C2×Dic61—42no—
752C2×Dic61—81no—
753C2×Dic61—81no—
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761D244—21no—
762D244—21no—
763D244—21no—
764D244—42no—
765D244—81no—
766D244C2×#4112yes—
767C4×D61—21no—
768C4×D61—21no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—42no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777Dic122—22no—
778Dic122—21no—
779Dic122—21no—
780Dic122—21no—
781Dic122—21no—
782Dic122—42no—
783Dic122—42no—
784Dic122—81no—
785Dic122—81no—
786Dic122—81no—
787Dic122—81no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61—21no—
792#92418—21no—
793#92418—21no—
794#92418—21no—
795#92418C2×#4112yes—
796#61474—611nomaximal, Sylow
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—21no—
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61C23×D411yescharacteristic
810C2×D61—21no—
811C2×D61—21no—
812C2×D61—22no—
813C2×D61—21no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—162no—
820C2×D61—162no—
821C4×C61—21no—
822C4×C61—22no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—21no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61C22×#4111yescharacteristic
832C4×C61#58511yescharacteristic
833Dic61—21no—
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61#57712yes—
846#3518—611no—
847#3514—611no—
848#3394—611no—
849Q8×SD16—611no—
850#3375—611no—
851#3367—611no—
852#3340—611no—
853#3340—611no—
854#3340—611no—
855#3328—611no—
856#3325—611no—
857#3321—611no—
858#3321D6111yescharacteristic, complemented
859#3311—611no—
860#3311—611no—
861#3282—611no—
862#3282—611no—
863D4×SD16—611no—
864#3173—611no—
865#3173—611no—
866#3167—611no—
867#3121—611no—
868#3121—611no—
869#3118—611no—
870#3118—611no—
871#3116—611no—
872#3115—611no—
873#2966—611no—
874#2949—611no—
875#2949—611no—
876C4×#135—611no—
877C2×C61—41no—
878C2×C61—41no—
879C2×C61—81no—
880C2×C61—81no—
881C2×C61D4×#4111yescharacteristic
882C2×C61C2×#57711yescharacteristic
883C2×C61#358411yescharacteristic
884D61—41no—
885D61—42no—
886D61—81no—
887C2×#135—611no—
888C22×SD16—611no—
889C22×SD16—611no—
890#559—611no—
891Q82—611no—
892#556—611no—
893#556—611no—
894#556—611no—
895#556—611no—
896#556—1221no—
897#556—1221no—
898#556—1221no—
899#555—611no—
900#555—611no—
901#555—1221no—
902#555C2×D6111yescharacteristic
903#551—1221no—
904#551—1221no—
905D4×Q8—611no—
906D4×Q8—611no—
907#548—611no—
908#548—1221no—
909#548C2×D6111yescharacteristic, complemented
910#546—611no—
911#546—611no—
912#546—1221no—
913D42—611no—
914#542—611no—
915#542—611no—
916#542—611no—
917#542—611no—
918#542—1221no—
919#542—1221no—
920#538—1221no—
921#538—1221no—
922#533—611no—
923#533—1221no—
924#532—611no—
925#529—611no—
926#529—1221no—
927#529—1221no—
928C2×#124—1221no—
929#519—611no—
930#519—611no—
931#518—611no—
932#518—611no—
933C4×#41—611no—
934C4×#41—611no—
935#498—611no—
936#498—611no—
937#498—611no—
938#495—611no—
939#495—611no—
940#492—611no—
941#489—611no—
942#489—611no—
943#489—611no—
944#489C2×D6111yescharacteristic, complemented
945#487—611no—
946#486—611no—
947#485—611no—
948#485—611no—
949#485—611no—
950#485—611no—
951#485—611no—
952#485C2×D6111yescharacteristic, complemented
953#482—611no—
954#482—611no—
955#482—611no—
956#482—611no—
957#482—611no—
958#482C2×D6111yescharacteristic, complemented
959#477—611no—
960#477—611no—
961#477—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#475—611no—
966#475—611no—
967#475C2×D6111yescharacteristic, complemented
968#474—611no—
969#474—611no—
970#474—611no—
971#470—611no—
972#470—611no—
973#469—611no—
974#469C2×D6111yescharacteristic
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465—611no—
981#465—611no—
982#465C2×D6111yescharacteristic, complemented
983#464—611no—
984#464—611no—
985#464—611no—
986#464—611no—
987#463—611no—
988#463—611no—
989#463—611no—
990#463C2×D6111yescharacteristic, complemented
991#462—611no—
992#461—611no—
993#460—611no—
994#459—611no—
995#452—611no—
996#452—611no—
997#451—611no—
998#451—611no—
999#450—611no—
1000#450—611no—
1001#449—611no—
1002#449C2×D6111yescharacteristic, complemented
1003#448—611no—
1004#448C2×D6111yescharacteristic
1005#447—611no—
1006#447—611no—
1007#446—611no—
1008C8×Q8—611no—
1009#442—611no—
1010#442—611no—
1011#441—611no—
1012#441—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016#440—611no—
1017#440—611no—
1018#440—611no—
1019#440—611no—
1020#440C2×D6111yescharacteristic, complemented
1021C4×Q16—611no—
1022C4×Q16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16—611no—
1027C4×SD16—611no—
1028C4×SD16—611no—
1029C4×SD16—611no—
1030C4×SD16—611no—
1031C4×SD16—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16—611no—
1035C4×D8—611no—
1036C4×D8—611no—
1037#436—611no—
1038#435—611no—
1039#435C2×D6111yescharacteristic, complemented
1040C8×D4—611no—
1041C8×D4—611no—
1042C8×D4—611no—
1043#433—611no—
1044#433—611no—
1045#432—611no—
1046#427—611no—
1047#427—611no—
1048#427—611no—
1049#419—611no—
1050#419C2×D6111yescharacteristic, complemented
1051#418—611no—
1052#418—611no—
1053#416—611no—
1054#416C2×D6111yescharacteristic, complemented
1055#405—611no—
1056#405—611no—
1057C2×C4×C8—611no—
1058C61#6147411yescharacteristic, complemented, Sylow
1059C2×#41—611no—
1060C2×#41—1221no—
1061C2×#41C22×D6111yescharacteristic
1062C22×Q8—611no—
1063C22×Q8—1221no—
1064C22×Q8C22×D6111yescharacteristic
1065C22×D4—611no—
1066C22×D4—611no—
1067C22×D4—1221no—
1068#135—1224no—
1069C2×Q16—611no—
1070C2×Q16—611no—
1071C2×Q16—611no—
1072C2×SD16—611no—
1073C2×SD16—611no—
1074C2×SD16—611no—
1075C2×SD16—611no—
1076C2×SD16—611no—
1077C2×SD16—611no—
1078C2×SD16—611no—
1079C2×SD16—611no—
1080C2×SD16—1224no—
1081C2×SD16—1224no—
1082C2×SD16C22×D6111yescharacteristic
1083C2×SD16C22×D6111yescharacteristic
1084C2×D8—611no—
1085C2×D8—611no—
1086C2×D8C22×D6111yescharacteristic
1087C2×M16—611no—
1088C2×M16C22×D6111yescharacteristic
1089C22×C8—611no—
1090C22×C8—611no—
1091C22×C8—611no—
1092C22×C8C22×D6111yescharacteristic
1093C4⋊Q8—611no—
1094C4⋊Q8—611no—
1095C4⋊Q8—611no—
1096C4⋊Q8—611no—
1097C4⋊Q8—611no—
1098C4⋊Q8—611no—
1099C4⋊Q8—1221no—
1100C4⋊Q8—1221no—
1101C4⋊Q8—1221no—
1102C4⋊Q8—1221no—
1103C4⋊Q8C22×D6111yescharacteristic
1104#127—611no—
1105#126—611no—
1106#126—611no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#126—1221no—
1111#126—1221no—
1112#126—1221no—
1113#126—1221no—
1114#126—1221no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#125—611no—
1120#125—1221no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—611no—
1125#124—611no—
1126#124—611no—
1127#124—611no—
1128#124—1221no—
1129#124—1221no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124—1221no—
1134#124—1221no—
1135#124—1221no—
1136#124—1221no—
1137#124—1221no—
1138#124—1221no—
1139#124—1221no—
1140#124—1221no—
1141#124—1221no—
1142#124C22×D6111yescharacteristic
1143#123—611no—
1144#123—611no—
1145#123—1221no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153C22⋊Q8—21no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—611no—
1157C22⋊Q8—611no—
1158C22⋊Q8—611no—
1159C22⋊Q8—611no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8—1221no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8C22×D6111yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—611no—
1176#121—611no—
1177#121—611no—
1178#121—611no—
1179#121—1221no—
1180#121—1221no—
1181#121—1221no—
1182#121—1221no—
1183#121—1221no—
1184#121—1221no—
1185#121—1221no—
1186#121C22×D6111yescharacteristic
1187#121C22×D6111yescharacteristic
1188#121C22×D6111yescharacteristic
1189#120—1221no—
1190#120—1221no—
1191#120—1221no—
1192#120—1221no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—611no—
1198C4×Q8—611no—
1199C4×Q8—611no—
1200C4×Q8—611no—
1201C4×Q8—611no—
1202C4×Q8—611no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8—1221no—
1206C4×Q8—1221no—
1207C4×Q8—1221no—
1208C4×Q8—1221no—
1209C4×Q8—1221no—
1210C4×Q8—1221no—
1211C4×Q8—1221no—
1212C4×Q8C22×D6111yescharacteristic
1213C4×D4—21no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4C22×D6111yescharacteristic
1238C4×D4C22×D6111yescharacteristic
1239#117—21no—
1240#117—611no—
1241#117—611no—
1242#117—611no—
1243#117—611no—
1244#117—611no—
1245#117—611no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
1250#117—1221no—
1251#117—1221no—
1252#117—1221no—
1253#117—1221no—
1254#117—1221no—
1255#117—1221no—
1256#117C22×D6111yescharacteristic
1257#117C22×D6111yescharacteristic
1258C2×C22⋊C4—1221no—
1259C2×C22⋊C4—1221no—
1260C2×C22⋊C4—1221no—
1261C2×C22⋊C4—1221no—
1262C2×C22⋊C4—1221no—
1263C2×C22⋊C4—1221no—
1264C2×C42—611no—
1265C2×C42—1221no—
1266C2×C42—1221no—
1267#107—611no—
1268#107—611no—
1269#107—611no—
1270#107—611no—
1271#107—611no—
1272#107C22×D6111yescharacteristic
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106—611no—
1280#106—611no—
1281#106C22×D6111yescharacteristic
1282#106C22×D6111yescharacteristic
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1300#103C22×D6111yescharacteristic
1301#103C22×D6111yescharacteristic
1302#103C22×D6111yescharacteristic
1303#103C22×D6111yescharacteristic
1304#103C22×D6111yescharacteristic
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#102—611no—
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321C22⋊C8—611no—
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8C22×D6111yescharacteristic
1326C22⋊C8C22×D6111yescharacteristic
1327#97—611no—
1328#97—611no—
1329#97—611no—
1330#97C22×D6111yescharacteristic
1331C4×C8—611no—
1332C4×C8—611no—
1333C4×C8—611no—
1334C4×C8—611no—
1335C4×C8—611no—
1336C4×C8—611no—
1337C24—1221no—
1338C24—1221no—
1339#41—22no—
1340#41—41no—
1341#41—1222no—
1342#41—4882no—
1343#41—2441no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—611no—
1349C2×Q8—611no—
1350C2×Q8—611no—
1351C2×Q8—1221no—
1352C2×Q8—1221no—
1353C2×Q8—1221no—
1354C2×Q8—1221no—
1355C2×Q8—1221no—
1356C2×Q8—1221no—
1357C2×Q8—1222no—
1358C2×Q8—4882no—
1359C2×Q8—2441no—
1360C2×Q8C23×D6111yescharacteristic
1361C2×Q8C23×D6111yescharacteristic
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—611no—
1367C2×D4—611no—
1368C2×D4—611no—
1369C2×D4—611no—
1370C2×D4—1222no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1222no—
1376C2×D4—1221no—
1377C2×D4—1221no—
1378C2×D4—1221no—
1379C2×D4—1221no—
1380C2×D4—4882no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4D4×D6111yescharacteristic
1384C2×D4C23×D6111yescharacteristic
1385C2×D4C23×D6111yescharacteristic
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
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—1221no—
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405Q16—1222no—
1406Q16—2441no—
1407Q16—2441no—
1408SD16—22no—
1409SD16—41no—
1410SD16—614no—
1411SD16—1222no—
1412SD16—1222no—
1413SD16—1222no—
1414SD16—1222no—
1415SD16—1222no—
1416SD16—1222no—
1417SD16—2441no—
1418D8—41no—
1419D8—1222no—
1420D8—2441no—
1421M16—41no—
1422M16—2441no—
1423C2×C8—41no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—611no—
1428C2×C8—1222no—
1429C2×C8—1222no—
1430C2×C8—1222no—
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C2×C8C23×D6111yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—611no—
1450C4⋊C4—611no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C4⋊C4C23×D6111yescharacteristic
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
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—1221no—
1495C22⋊C4—1221no—
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—
1520C22⋊C4—1221no—
1521C22⋊C4D4×D6111yescharacteristic
1522C22⋊C4D4×D6111yescharacteristic
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—611no—
1527C42—611no—
1528C42—611no—
1529C42—611no—
1530C42—611no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42—1221no—
1536C42—1221no—
1537C42—1221no—
1538C42—1221no—
1539C42—1221no—
1540C42—1221no—
1541C42—1221no—
1542C42—1221no—
1543C42—1221no—
1544C42C23×D6111yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—611no—
1548C23—1221no—
1549C23—1221no—
1550C23—4881no—
1551C23—4881no—
1552C23—4881no—
1553C23—4881no—
1554C23—2442no—
1555C23—2442no—
1556C23C2×D4×D6111yescharacteristic
1557C23C2×D4×D6111yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—42no—
1562Q8—81no—
1563Q8—1222no—
1564Q8—1221no—
1565Q8—1221no—
1566Q8—1221no—
1567Q8—1221no—
1568Q8—4881no—
1569Q8—4881no—
1570Q8—4881no—
1571Q8—4881no—
1572Q8—2442no—
1573Q8—2442no—
1574Q8#41×D6112yes—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—41no—
1580D4—42no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—612no—
1585D4—1222no—
1586D4—1221no—
1587D4—1221no—
1588D4—1221no—
1589D4—4881no—
1590D4—4881no—
1591D4—4881no—
1592D4—4881no—
1593D4—2442no—
1594D4—2442no—
1595D4—2441no—
1596D4—2442no—
1597D4—2442no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—611no—
1612C2×C4—611no—
1613C2×C4—611no—
1614C2×C4—611no—
1615C2×C4—611no—
1616C2×C4—611no—
1617C2×C4—611no—
1618C2×C4—1222no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—4881no—
1628C2×C4—4881no—
1629C2×C4—4881no—
1630C2×C4—4881no—
1631C2×C4—4881no—
1632C2×C4—4881no—
1633C2×C4—4881no—
1634C2×C4—2442no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4—2442no—
1638C2×C4—2441no—
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C2×D4×D6111yescharacteristic
1641C2×C4C2×D4×D6111yescharacteristic
1642C2×C4C2×D4×D6111yescharacteristic
1643C2×C4C24×D6111yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—612no—
1649C8—1221no—
1650C8—1221no—
1651C8—1221no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—1221no—
1665C22—1221no—
1666C22—1222no—
1667C22—1221no—
1668C22—9762no—
1669C22—9762no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22C22×D4×D6111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—22no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—612no—
1687C4—1221no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—1221no—
1692C4—1221no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4—2441no—
1699C4C2×#41×D6111yescharacteristic
1700C4#1684059711yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—4881no—
1706C2—2441no—
1707C2—2442no—
1708C2#2145930311yescharacteristic
1709C2#577×D6111yescharacteristic
1710C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3321C2
socleC22×C61C23×D4
hypercenter#3321D61
hypocenterC61#61474
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #21459827C2semidirect
2. #21459776C2semidirect
3. #21458818C2semidirect
4. #21458678C2semidirect
5. #21458634C2semidirect
6. #21458534C2semidirect
7. #21458232C2semidirect
8. #21458230C2semidirect
9. #21458225C2semidirect
10. #21458098C2semidirect
11. #21458056C2semidirect
12. #21458001C2semidirect
13. #21457861C2semidirect
14. #21457857C2semidirect
15. #21457529C2semidirect
16. #21457527C2semidirect
17. #21457508C2semidirect
18. #21456435C2semidirect
19. #21456431C2semidirect
20. #21456373C2semidirect
21. #21456055C2semidirect
22. #21456041C2semidirect
23. #21456002C2semidirect
24. #21455998C2semidirect
25. #21455976C2semidirect
26. #21455963C2semidirect
27. #21454789C2semidirect
28. #21454675C2semidirect
29. #21454674C2semidirect
30. #21454587C2semidirect
31. C61×#3321C2semidirect
36. Q8×Dic122C22semidirect
38. #16840483C22semidirect
40. #16840482C22semidirect
42. #16840481C22semidirect
52. #16840419C22semidirect
59. #16840381C22semidirect
62. #16840379C22semidirect
66. #16840314C22semidirect
72. #16840240C22semidirect
73. #16840238C22semidirect
76. #41×Dic61C22semidirect
78. #16840159C22semidirect
79. #16840159C22semidirect
80. #16840158C22semidirect
81. #16840145C22semidirect
82. #16840144C22semidirect
84. #16840122C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840111C22semidirect
89. #16840106C22semidirect
90. #16840104C22semidirect
91. #16840103C22semidirect
92. #16840103C22semidirect
93. #16840101C22semidirect
95. #16840087C22semidirect
96. #16840085C22semidirect
98. #16840083C22semidirect
99. #16840056C22semidirect
100. #16840055C22semidirect
101. #16840054C22semidirect
105. #16840045C22semidirect
106. #16840045C22semidirect
107. #16840042C22semidirect
108. #16840041C22semidirect
109. #16840040C22semidirect
110. #16840020C22semidirect
111. #16840019C22semidirect
114. #16839993C22semidirect
115. #16839991C22semidirect
116. #16839990C22semidirect
118. #16839989C22semidirect
119. #16839989C22semidirect
120. #16839985C22semidirect
121. #16839984C22semidirect
122. #16839982C22semidirect
123. #16839982C22semidirect
125. #16839976C22semidirect
127. #16839971C22semidirect
133. #16839919C22semidirect
134. #16839918C22semidirect
137. #16839907C22semidirect
141. #16839890C22semidirect
142. #16839886C22semidirect
143. #16839874C22semidirect
144. #16839871C22semidirect
145. #16839868C22semidirect
146. #16839866C22semidirect
149. #16839865C22semidirect
150. #16839865C22semidirect
152. #16839863C22semidirect
154. #16839854C22semidirect
155. #16839854C22semidirect
156. #16839853C22semidirect
157. #16839853C22semidirect
158. #16839853C22semidirect
159. SD16×Dic61C22semidirect
161. #16839849C22semidirect
162. C4×#11758200C22semidirect
166. #16839847C22semidirect
167. #16839847C22semidirect
171. #16839833C22semidirect
172. D4×#92418C22semidirect
174. #16839825C22semidirect
175. #16839822C22semidirect
176. #16839820C22semidirect
177. #16839816C22semidirect
178. #16839799C22semidirect
179. #16839798C22semidirect
180. #16839798C22semidirect
181. #16839769C22semidirect
185. #16839720C22semidirect
186. #16839719C22semidirect
187. C2×C8×Dic61C22semidirect
189. C61×#548C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#475C22semidirect
195. C61×#465C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#419C22semidirect
202. C61×#416C22semidirect
603. #11758201#41semidirect
858. #3321D61semidirect
909. #548C2×D61semidirect
944. #489C2×D61semidirect
952. #485C2×D61semidirect
958. #482C2×D61semidirect
967. #475C2×D61semidirect
982. #465C2×D61semidirect
990. #463C2×D61semidirect
1002. #449C2×D61semidirect
1020. #440C2×D61semidirect
1039. #435C2×D61semidirect
1050. #419C2×D61semidirect
1054. #416C2×D61semidirect
1058. C61#61474semidirect

Maximal subgroups

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

subgroupindex
#214598272
#214597762
#214588182
#214586782
#214586342
#214585342
#214582322
#214582302
#214582252
#214580982
#214580562
#214580012
#214578612
#214578572
#214575292
#214575272
#214575082
#214564352
#214564312
#214563732
#214560552
#214560412
#214560022
#214559982
#214559762
#214559632
#214547892
#214546752
#214546742
#214545872
C61×#33212
#6147461