Finite Group Databasebeta

← #30563037

Subgroups — #30563037

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459930C211yesmaximal, characteristic, complemented
2#21459885C211yesmaximal, characteristic, complemented
3#21458888C211yesmaximal, characteristic, complemented
4#21458771C211yesmaximal, characteristic, complemented
5#21458499C211yesmaximal, characteristic, complemented
6#21458478C211yesmaximal, characteristic, complemented
7#21458377C211yesmaximal, characteristic, complemented
8#21458346C211yesmaximal, characteristic, complemented
9#21458312C211yesmaximal, characteristic, complemented
10#21457755C211yesmaximal, characteristic, complemented
11#21457745C211yesmaximal, characteristic, complemented
12#21457725C211yesmaximal, characteristic, complemented
13#21457710C211yesmaximal, characteristic, complemented
14#21457672C211yesmaximal, characteristic, complemented
15#21457661C211yesmaximal, characteristic, complemented
16#21457453C211yesmaximal, characteristic, complemented
17#21457377C211yesmaximal, characteristic, complemented
18#21457354C211yesmaximal, characteristic, complemented
19#21456496C211yesmaximal, characteristic, complemented
20#21456493C211yesmaximal, characteristic, complemented
21#21456385C211yesmaximal, characteristic, complemented
22#21456039C211yesmaximal, characteristic, complemented
23#21456020C211yesmaximal, characteristic, complemented
24#21456009C211yesmaximal, characteristic, complemented
25#21455934C211yesmaximal, characteristic, complemented
26#21455926C211yesmaximal, characteristic, complemented
27#21454792C211yesmaximal, characteristic, complemented
28#21454662C211yesmaximal, characteristic, complemented
29#21454650C211yesmaximal, characteristic, complemented
30C4×#14519800C211yesmaximal, characteristic, complemented
31C61×#3121C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic
33C2×#14519804C2211yescharacteristic
34C2×#14519800C2211yescharacteristic
35#16840497—21no—
36#16840497C2211yescharacteristic, complemented
37#16840488C2211yescharacteristic, complemented
38#16840486C2211yescharacteristic
39#16840481C2211yescharacteristic
40#16840475—21no—
41#16840475C2211yescharacteristic, complemented
42#16840473C2211yescharacteristic
43#16840464C2211yescharacteristic
44#16840457—21no—
45#16840456—21no—
46#16840456C2211yescharacteristic
47#16840454C2211yescharacteristic
48#16840453—21no—
49#16840453C2211yescharacteristic
50#16840446—21no—
51#16840439—21no—
52#16840435—21no—
53#16840434C2211yescharacteristic
54#16840423C2211yescharacteristic
55#16840423C2211yescharacteristic, complemented
56#16840414C2211yescharacteristic
57#16840409C2211yescharacteristic
58#16840405C2211yescharacteristic
59#16840384—21no—
60#16840384C2211yescharacteristic
61#16840370C2211yescharacteristic
62#16840367—21no—
63#16840367C2211yescharacteristic, complemented
64#16840353—21no—
65#16840346—21no—
66#16840299—21no—
67#16840299C2211yescharacteristic, complemented
68#16840294C2211yescharacteristic
69#16840291—21no—
70#16840290—21no—
71#16840290C2211yescharacteristic
72#126×D61—21no—
73#16840244C2211yescharacteristic
74#16840242C2211yescharacteristic
75#16840234C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758226C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840168C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic, complemented
82#16840152C2211yescharacteristic
83#16840143C2211yescharacteristic
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840116C2211yescharacteristic
87#16840115C2211yescharacteristic
88#16840111C2211yescharacteristic, complemented
89#16840110C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic
92#16840101C2211yescharacteristic, complemented
93#16840099C2211yescharacteristic
94#16840091C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840088C2211yescharacteristic, complemented
97#16840084C2211yescharacteristic
98#16840081C2211yescharacteristic, complemented
99#16840076C2211yescharacteristic, complemented
100#16840071C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840067C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840065C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic
107#16840061C2211yescharacteristic
108#16840051C2211yescharacteristic
109#16840040C2211yescharacteristic
110#16840019C2211yescharacteristic
111#16840013C2211yescharacteristic
112#16840011C2211yescharacteristic
113#16840010C2211yescharacteristic, complemented
114#16840002C2211yescharacteristic, complemented
115#16840000C2211yescharacteristic
116#16839997C2211yescharacteristic
117#16839996C2211yescharacteristic
118#16839993C2211yescharacteristic, complemented
119#16839992C2211yescharacteristic
120#16839992C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic
122#16839986C2211yescharacteristic, complemented
123#16839982C2211yescharacteristic
124#16839980C2211yescharacteristic
125#16839980C2211yescharacteristic
126#16839979C2211yescharacteristic
127#16839976C2211yescharacteristic
128#16839970C2211yescharacteristic, complemented
129#16839966C2211yescharacteristic, complemented
130#16839963C2211yescharacteristic, complemented
131#16839958C2211yescharacteristic
132#16839927C2211yescharacteristic
133#16839927C2211yescharacteristic, complemented
134#16839923C2211yescharacteristic
135#16839923C2211yescharacteristic
136#16839911C2211yescharacteristic
137#16839910C2211yescharacteristic
138#16839909C2211yescharacteristic
139#16839909C2211yescharacteristic
140#16839906C2211yescharacteristic
141#16839897C2211yescharacteristic
142#16839891C2211yescharacteristic, complemented
143#16839886C2211yescharacteristic, complemented
144#16839875C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839871C2211yescharacteristic
147#16839867C2211yescharacteristic, complemented
148#16839867C2211yescharacteristic, complemented
149#16839865C2211yescharacteristic
150#16839864C2211yescharacteristic, complemented
151#16839860C2211yescharacteristic
152#16839860C2211yescharacteristic
153#16839860C2211yescharacteristic, complemented
154Q16×Dic61C2211yescharacteristic, complemented
155C4×#11758202C2211yescharacteristic, complemented
156C4×#11758202C2211yescharacteristic, complemented
157C4×#11758190C2211yescharacteristic, complemented
158SD16×Dic61C2211yescharacteristic
159C4×#11758201C2211yescharacteristic
160C4×#11758201C2211yescharacteristic
161C4×#11758201C2211yescharacteristic, complemented
162#16839847C2211yescharacteristic
163#16839847C2211yescharacteristic, complemented
164C4×D488C2211yescharacteristic
165#16839844C2211yescharacteristic
166#16839844C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839836C2211yescharacteristic, complemented
170#16839832C2211yescharacteristic
171#16839827C2211yescharacteristic
172#16839825C2211yescharacteristic
173#16839825C2211yescharacteristic, complemented
174#16839821C2211yescharacteristic
175#16839817C2211yescharacteristic, complemented
176#16839805C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic
178#16839799C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic
180#16839757C2211yescharacteristic
181#16839757C2211yescharacteristic, complemented
182#16839756C2211yescharacteristic
183C2×#14519701C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839718C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#519C2211yescharacteristic, complemented
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic
192C61×#477C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic
195C61×#464C2211yescharacteristic
196C61×#451C2211yescharacteristic, complemented
197C61×#448C2211yescharacteristic
198C61×#441C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×D4×D61C2311yescharacteristic
208#14519808—24no—
209#14519804—24no—
210#14519800—24no—
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×D488C2311yescharacteristic
220C2×D488C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758194C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229#14519776—21no—
230#14519776C2311yescharacteristic
231#14519775C2311yescharacteristic
232#14519774—21no—
233#14519774C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772D411yescharacteristic
240#14519771—21no—
241#14519771—21no—
242#14519771—21no—
243#14519771—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770D411yescharacteristic
249#14519769—21no—
250#14519769—21no—
251#14519769C2311yescharacteristic
252#14519768—21no—
253#14519768—21no—
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519767D411yescharacteristic
260#14519766—21no—
261#14519766—21no—
262#14519766—21no—
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519765—21no—
266#14519765—21no—
267#14519765—21no—
268#14519764C2311yescharacteristic
269#14519763—21no—
270#14519763D411yescharacteristic
271#14519762—21no—
272#14519762—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762D411yescharacteristic
280#14519761—21no—
281#14519761—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759D411yescharacteristic
288#14519757—21no—
289#14519757C2311yescharacteristic
290#14519757C2311yescharacteristic
291#14519755—21no—
292#14519755D411yescharacteristic
293#14519754—21no—
294#14519753—21no—
295#14519753—21no—
296#14519753—21no—
297#14519753—21no—
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519752—21no—
302#14519752—21no—
303#14519752C2311yescharacteristic
304#14519752C2311yescharacteristic
305#14519751—21no—
306#14519751—21no—
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750D411yescharacteristic
316#14519749—21no—
317#14519748—21no—
318#14519748C2311yescharacteristic
319#14519747—21no—
320#14519745—21no—
321Q8×Dic61—21no—
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324Q8×Dic61C2311yescharacteristic
325C4×Dic122—21no—
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×D244—21no—
330C4×D244—21no—
331C4×D244—21no—
332C4×D244—21no—
333C4×D244—21no—
334C4×D244—21no—
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341D4×Dic61—21no—
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344#14519739—21no—
345#14519739—21no—
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#14519736—21no—
360#14519735—21no—
361#14519735—21no—
362#14519735—21no—
363#14519735C2311yescharacteristic
364#14519735C2311yescharacteristic
365#14519735C2311yescharacteristic
366#14519734—21no—
367#14519734—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734C2311yescharacteristic
371#14519733—21no—
372#14519733—21no—
373C2×C4⋊Dic61C2311yescharacteristic
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61C2311yescharacteristic
379C2×#11758198—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×Q8×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×Q16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#126×C61—21no—
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61—21no—
452C4×Q8×C61—21no—
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61—21no—
460#117×C61—21no—
461#117×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61—22no—
485C2×Q8×C61—41no—
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501C22×Dic61—21no—
502C22×Dic61—21no—
503#11758226—22no—
504#11758226—22no—
505#11758226—22no—
506#11758226—41no—
507#11758226—41no—
508#11758226—41no—
509D4×D61—22no—
510D4×D61—41no—
511#11758222—22no—
512#11758222—41no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244C2×D411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×C4×D61—21no—
525C2×C4×D61—21no—
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×D61C2×D411yescharacteristic
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544Q16×C61—22no—
545Q16×C61—41no—
546SD16×C61—22no—
547SD16×C61—41no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61C2×D411yescharacteristic
572C22⋊C4×C61C2×D411yescharacteristic
573C42×C61—21no—
574C42×C61—21no—
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758202—22no—
588#11758202—22no—
589#11758201—22no—
590#11758201—22no—
591#11758201—41no—
592#11758201#4114yes—
593#11758199—22no—
594#11758199—41no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
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#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
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⋊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×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C4×Dic61C2411yescharacteristic
672#11758194—22no—
673C2×#92418—41no—
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678D488—22no—
679D488—22no—
680#11758190—41no—
681#11758190—41no—
682#11758189—22no—
683C8×D61—22no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61C22×D411yescharacteristic
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—42no—
692C22×D61—81no—
693C22×D61—81no—
694C22×D61C22×D411yescharacteristic
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—42no—
702Q8×C61—81no—
703Q8×C61C2×#4112yes—
704D4×C61—21no—
705D4×C61—21no—
706D4×C61—81no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
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—42no—
717C2×C4×C61—81no—
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C2511yescharacteristic
724C22⋊D61—41no—
725C22⋊D61—41no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—81no—
737C2×Dic61—81no—
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744D244—21no—
745D244—21no—
746D244—21no—
747D244—21no—
748D244—21no—
749D244—41no—
750D244—42no—
751D244—42no—
752D244—42no—
753D244—81no—
754D244—81no—
755D244—81no—
756D244—81no—
757D244C2×#4112yes—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—21no—
762C4×D61—41no—
763C4×D61—41no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—42no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777Dic122—21no—
778Dic122—21no—
779Dic122—41no—
780Dic122—81no—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61C23×D411yescharacteristic
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—22no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—22no—
818C4×C61—21no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61C22×#4111yescharacteristic
826C4×C61#58511yescharacteristic
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—21no—
832Dic61—21no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401—611no—
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347—611no—
847#3304—611no—
848#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179—611no—
857#3178—611no—
858#3168—611no—
859#3121D6111yescharacteristic, complemented
860#3120—611no—
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—41no—
870C2×C61—81no—
871C2×C61D4×#4111yescharacteristic
872C2×C61#358411yescharacteristic
873C2×C61#358411yescharacteristic
874D61—41no—
875D61—41no—
876D61—42no—
877D61—81no—
878D61—81no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881C2×#135—611no—
882#559—611no—
883#559—1221no—
884#557—611no—
885#556—611no—
886#556—611no—
887#555—611no—
888#555—1221no—
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547—611no—
904#546—611no—
905#546—611no—
906#542—611no—
907#542—1221no—
908#542C2×D6111yescharacteristic
909#541—611no—
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519C2×D6111yescharacteristic, complemented
924#518—611no—
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501—611no—
929#499—611no—
930#497—611no—
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487—611no—
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485C2×D6111yescharacteristic, complemented
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482C2×D6111yescharacteristic
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477C2×D6111yescharacteristic, complemented
960#476—611no—
961#475C2×D6111yescharacteristic, complemented
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464C2×D6111yescharacteristic
978#464C2×D6111yescharacteristic
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#462—611no—
984#461—611no—
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#451C2×D6111yescharacteristic, complemented
992#450—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449—611no—
997#448C2×D6111yescharacteristic
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#441—611no—
1005#441—611no—
1006#441C2×D6111yescharacteristic, complemented
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440C2×D6111yescharacteristic
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16C2×D6111yescharacteristic, complemented
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16C2×D6111yescharacteristic
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433C2×D6111yescharacteristic, complemented
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41—611no—
1055C22×Q8C22×D6111yescharacteristic
1056C22×D4—611no—
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16C22×D6111yescharacteristic
1063C2×Q16C22×D6111yescharacteristic
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—21no—
1089#126—611no—
1090#126—611no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124C22×D6111yescharacteristic
1128#123—21no—
1129#123—611no—
1130#123—611no—
1131#123—1221no—
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—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—21no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—611no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—611no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121C22×D6111yescharacteristic
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—1221no—
1191C4×Q8—1221no—
1192C4×Q8C22×D6111yescharacteristic
1193C4×Q8C22×D6111yescharacteristic
1194C4×Q8C22×D6111yescharacteristic
1195C4×Q8C22×D6111yescharacteristic
1196C4×Q8C22×D6111yescharacteristic
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×D4C22×D6111yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117C22×D6111yescharacteristic
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C22⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8C22×D6111yescharacteristic
1280C4⋊C8C22×D6111yescharacteristic
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103C22×D6111yescharacteristic
1292#103C22×D6111yescharacteristic
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8C22×D6111yescharacteristic
1329C24—1221no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—2441no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—611no—
1343C2×Q8—611no—
1344C2×Q8—1221no—
1345C2×Q8C23×D6111yescharacteristic
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—611no—
1350C2×D4—611no—
1351C2×D4—611no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1222no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—2441no—
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4C23×D6111yescharacteristic
1392Q16—22no—
1393Q16—41no—
1394Q16—1222no—
1395Q16—1222no—
1396SD16—22no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—1222no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—1222no—
1409M16—1222no—
1410C2×C8—611no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—1222no—
1415C2×C8—2441no—
1416C2×C8—2441no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1465C4⋊C4D4×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—611no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—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⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—611no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—4881no—
1541C23—4881no—
1542C23—2442no—
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—42no—
1550Q8—81no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8#41×D6112yes—
1556D4—21no—
1557D4—21no—
1558D4—81no—
1559D4—612no—
1560D4—1221no—
1561D4—1221no—
1562D4—1221no—
1563D4—1221no—
1564D4—1221no—
1565D4—4881no—
1566D4—4881no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—2441no—
1573D4—2442no—
1574D4—2442no—
1575D4—2442no—
1576D4—2441no—
1577D4—2441no—
1578D4—2442no—
1579D4—2442no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—611no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—4881no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—2441no—
1618C2×C4—2441no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—1221no—
1644C22—1221no—
1645C22—1222no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1221no—
1650C22—9762no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—1221no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059811yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—4881no—
1688C2—4881no—
1689C2—2441no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930211yescharacteristic
1693C2#2146058911yescharacteristic
1694C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3121C2
socleC22×C61C23×D4
hypercenter#3121D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #21459930C2semidirect
2. #21459885C2semidirect
3. #21458888C2semidirect
4. #21458771C2semidirect
5. #21458499C2semidirect
6. #21458478C2semidirect
7. #21458377C2semidirect
8. #21458346C2semidirect
9. #21458312C2semidirect
10. #21457755C2semidirect
11. #21457745C2semidirect
12. #21457725C2semidirect
13. #21457710C2semidirect
14. #21457672C2semidirect
15. #21457661C2semidirect
16. #21457453C2semidirect
17. #21457377C2semidirect
18. #21457354C2semidirect
19. #21456496C2semidirect
20. #21456493C2semidirect
21. #21456385C2semidirect
22. #21456039C2semidirect
23. #21456020C2semidirect
24. #21456009C2semidirect
25. #21455934C2semidirect
26. #21455926C2semidirect
27. #21454792C2semidirect
28. #21454662C2semidirect
29. #21454650C2semidirect
30. C4×#14519800C2semidirect
31. C61×#3121C2semidirect
36. #16840497C22semidirect
37. #16840488C22semidirect
41. #16840475C22semidirect
55. #16840423C22semidirect
63. #16840367C22semidirect
67. #16840299C22semidirect
77. C4×#11758226C22semidirect
78. #16840169C22semidirect
79. #16840168C22semidirect
80. #16840162C22semidirect
81. #16840155C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
88. #16840111C22semidirect
89. #16840110C22semidirect
90. #16840105C22semidirect
92. #16840101C22semidirect
96. #16840088C22semidirect
98. #16840081C22semidirect
99. #16840076C22semidirect
100. #16840071C22semidirect
101. #16840070C22semidirect
102. #16840067C22semidirect
103. #16840067C22semidirect
104. #16840065C22semidirect
105. #16840065C22semidirect
113. #16840010C22semidirect
114. #16840002C22semidirect
118. #16839993C22semidirect
120. #16839992C22semidirect
122. #16839986C22semidirect
128. #16839970C22semidirect
129. #16839966C22semidirect
130. #16839963C22semidirect
133. #16839927C22semidirect
142. #16839891C22semidirect
143. #16839886C22semidirect
147. #16839867C22semidirect
148. #16839867C22semidirect
150. #16839864C22semidirect
153. #16839860C22semidirect
154. Q16×Dic61C22semidirect
155. C4×#11758202C22semidirect
156. C4×#11758202C22semidirect
157. C4×#11758190C22semidirect
161. C4×#11758201C22semidirect
163. #16839847C22semidirect
169. #16839836C22semidirect
173. #16839825C22semidirect
175. #16839817C22semidirect
176. #16839805C22semidirect
178. #16839799C22semidirect
181. #16839757C22semidirect
183. C2×#14519701C22semidirect
186. #16839718C22semidirect
187. C4×C8×D61C22semidirect
189. C61×#519C22semidirect
190. C61×#485C22semidirect
192. C61×#477C22semidirect
193. C61×#475C22semidirect
196. C61×#451C22semidirect
198. C61×#441C22semidirect
200. C4×Q16×C61C22semidirect
202. C61×#433C22semidirect
859. #3121D61semidirect
923. #519C2×D61semidirect
942. #485C2×D61semidirect
959. #477C2×D61semidirect
961. #475C2×D61semidirect
991. #451C2×D61semidirect
1006. #441C2×D61semidirect
1016. C4×Q16C2×D61semidirect
1036. #433C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599302
#214598852
#214588882
#214587712
#214584992
#214584782
#214583772
#214583462
#214583122
#214577552
#214577452
#214577252
#214577102
#214576722
#214576612
#214574532
#214573772
#214573542
#214564962
#214564932
#214563852
#214560392
#214560202
#214560092
#214559342
#214559262
#214547922
#214546622
#214546502
C4×#145198002
C61×#31212
#6150061