Finite Group Databasebeta

← #30548503

Subgroups — #30548503

Order 15616.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459210C211yesmaximal, characteristic, complemented
2#520×D61C211yesmaximal, characteristic, complemented
3#21456094C211yesmaximal, characteristic, complemented
4#21456092C211yesmaximal, characteristic, complemented
5#21456091C211yesmaximal, characteristic, complemented
6#21456089C211yesmaximal, characteristic, complemented
7#21456087C211yesmaximal, characteristic, complemented
8#21456085C211yesmaximal, characteristic, complemented
9#21456084C211yesmaximal, characteristic, complemented
10#21456082C211yesmaximal, characteristic, complemented
11#21456032C211yesmaximal, characteristic, complemented
12#21456030C211yesmaximal, characteristic, complemented
13#21456027C211yesmaximal, characteristic, complemented
14#21456025C211yesmaximal, characteristic, complemented
15#21456023C211yesmaximal, characteristic, complemented
16#21456020C211yesmaximal, characteristic, complemented
17#21456018C211yesmaximal, characteristic, complemented
18#21455746C211yesmaximal, characteristic, complemented
19#21455743C211yesmaximal, characteristic, complemented
20#21455622C211yesmaximal, characteristic, complemented
21#21455614C211yesmaximal, characteristic, complemented
22#21455292C211yesmaximal, characteristic, complemented
23#21455284C211yesmaximal, characteristic, complemented
24#21455062C211yesmaximal, characteristic, complemented
25#21455062C211yesmaximal, characteristic, complemented
26C4×#14519809C211yesmaximal, characteristic, complemented
27#21454635C211yesmaximal, characteristic, complemented
28C4×#14519804C211yesmaximal, characteristic, complemented
29#21454624C211yesmaximal, characteristic, complemented
30#21454453C211yesmaximal, characteristic, complemented
31C61×#3120C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519809C2211yescharacteristic
35C2×#14519804C2211yescharacteristic
36C2×#14519804C2211yescharacteristic
37#16840385C2211yescharacteristic, complemented
38#16840385C2211yescharacteristic, complemented
39#16840384C2211yescharacteristic, complemented
40#16840384C2211yescharacteristic, complemented
41#16840373C2211yescharacteristic, complemented
42#16840368C2211yescharacteristic, complemented
43#16840367C2211yescharacteristic, complemented
44#16840360—21no—
45#16840360—21no—
46#16840351—21no—
47#16840351—21no—
48#16840318C2211yescharacteristic
49#16840313C2211yescharacteristic
50#16840297—21no—
51#16840297—21no—
52#16840295—21no—
53#16840295—21no—
54#16840275C2211yescharacteristic
55#16840275C2211yescharacteristic
56#16840245C2211yescharacteristic
57#16840244C2211yescharacteristic
58#16840244C2211yescharacteristic
59#16840243—21no—
60#16840243C2211yescharacteristic
61#16840242—21no—
62#16840242C2211yescharacteristic
63#16840241—21no—
64#16840241—21no—
65#16840241C2211yescharacteristic
66#16840241C2211yescharacteristic
67C4×#11758226C2211yescharacteristic
68C4×#11758226C2211yescharacteristic
69C4×Q8×D61C2211yescharacteristic
70C4×Q8×D61C2211yescharacteristic
71C4×D4×D61—21no—
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#117×D61—21no—
76#117×D61C2211yescharacteristic
77C2×C4⋊C4×D61—21no—
78C2×C4⋊C4×D61C2211yescharacteristic
79#16840096C2211yescharacteristic, complemented
80#16840096C2211yescharacteristic, complemented
81#16840095C2211yescharacteristic, complemented
82#16840091C2211yescharacteristic, complemented
83#16840091C2211yescharacteristic, complemented
84#16840090C2211yescharacteristic, complemented
85#16840082C2211yescharacteristic, complemented
86#16840082C2211yescharacteristic, complemented
87#16840081C2211yescharacteristic, complemented
88#16840080C2211yescharacteristic, complemented
89#16840077C2211yescharacteristic, complemented
90#16840077C2211yescharacteristic, complemented
91#16840076C2211yescharacteristic, complemented
92#16840075C2211yescharacteristic, complemented
93#16840070C2211yescharacteristic, complemented
94#16840069C2211yescharacteristic, complemented
95#16840066C2211yescharacteristic, complemented
96#16840063C2211yescharacteristic, complemented
97#16840062C2211yescharacteristic, complemented
98#16840059C2211yescharacteristic, complemented
99#16840056C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840051C2211yescharacteristic, complemented
102#16840050C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840041C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic, complemented
107#16839987C2211yescharacteristic, complemented
108#16839987C2211yescharacteristic, complemented
109#16839986C2211yescharacteristic, complemented
110#16839986C2211yescharacteristic, complemented
111#16839980C2211yescharacteristic, complemented
112#16839980C2211yescharacteristic, complemented
113#16839979C2211yescharacteristic, complemented
114#16839979C2211yescharacteristic, complemented
115#16839969C2211yescharacteristic, complemented
116#16839964C2211yescharacteristic, complemented
117#16839963C2211yescharacteristic, complemented
118#16839962C2211yescharacteristic, complemented
119#16839958C2211yescharacteristic, complemented
120#16839957C2211yescharacteristic, complemented
121#16839923C2211yescharacteristic
122#16839923C2211yescharacteristic
123#16839922C2211yescharacteristic
124#16839922C2211yescharacteristic
125#16839921C2211yescharacteristic
126#16839921C2211yescharacteristic
127#16839910C2211yescharacteristic
128#16839910C2211yescharacteristic
129#16839909C2211yescharacteristic
130#16839909C2211yescharacteristic
131#16839908C2211yescharacteristic
132#16839908C2211yescharacteristic
133#16839907C2211yescharacteristic
134#16839907C2211yescharacteristic
135#16839875C2211yescharacteristic, complemented
136#16839873C2211yescharacteristic, complemented
137#16839872C2211yescharacteristic, complemented
138#16839871C2211yescharacteristic, complemented
139#16839869C2211yescharacteristic, complemented
140#16839867C2211yescharacteristic, complemented
141#16839866C2211yescharacteristic, complemented
142#16839865C2211yescharacteristic, complemented
143#16839865C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839863C2211yescharacteristic, complemented
146#16839861C2211yescharacteristic, complemented
147#16839860C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149Q16×Dic61C2211yescharacteristic, complemented
150C4×#11758202C2211yescharacteristic, complemented
151#16839854C2211yescharacteristic, complemented
152C4×#11758190C2211yescharacteristic, complemented
153SD16×Dic61C2211yescharacteristic, complemented
154C4×#11758201C2211yescharacteristic, complemented
155C4×#11758201C2211yescharacteristic, complemented
156#16839849C2211yescharacteristic, complemented
157#16839847C2211yescharacteristic, complemented
158#16839847C2211yescharacteristic, complemented
159C4×D488C2211yescharacteristic, complemented
160#16839844C2211yescharacteristic, complemented
161C4×#11758199C2211yescharacteristic, complemented
162#16839842C2211yescharacteristic, complemented
163#16839824C2211yescharacteristic, complemented
164#16839823C2211yescharacteristic, complemented
165#16839822C2211yescharacteristic, complemented
166#16839822C2211yescharacteristic, complemented
167#16839821C2211yescharacteristic, complemented
168#16839820C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#16839803C2211yescharacteristic
171#16839803C2211yescharacteristic
172#16839801C2211yescharacteristic
173#16839801C2211yescharacteristic
174#16839784C2211yescharacteristic
175#16839784C2211yescharacteristic
176#16839769C2211yescharacteristic
177#16839769C2211yescharacteristic
178#16839765C2211yescharacteristic
179#16839765C2211yescharacteristic
180#16839762C2211yescharacteristic
181#16839762C2211yescharacteristic
182#16839762C2211yescharacteristic
183#16839762C2211yescharacteristic
184#16839724C2211yescharacteristic
185#16839724C2211yescharacteristic
186#16839714C2211yescharacteristic
187C4×#11758189C2211yescharacteristic
188C61×#541C2211yescharacteristic, complemented
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#462C2211yescharacteristic, complemented
195C61×#461C2211yescharacteristic, complemented
196C61×#452C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#441C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×Q16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210#41×D61—24no—
211#41×D61—24no—
212C2×Q8×D61C2311yescharacteristic
213C2×D4×D61—21no—
214C2×D4×D61C2311yescharacteristic
215C22×C4×D61—21no—
216C22×C4×D61—21no—
217C22×C4×D61—21no—
218C22×C4×D61—21no—
219C22×C4×D61C2311yescharacteristic
220#14519809—24no—
221#14519809—24no—
222#14519804—24no—
223#14519804—24no—
224C2×#11758202C2311yescharacteristic
225C2×#11758202C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×D488C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758189C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519774C2311yescharacteristic
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519771—21no—
248#14519771—21no—
249#14519769C2311yescharacteristic
250#14519767—21no—
251#14519767—21no—
252#14519766C2311yescharacteristic
253#14519766C2311yescharacteristic
254#14519765—21no—
255#14519765—21no—
256#14519763—21no—
257#14519763—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519759—21no—
267#14519759—21no—
268#14519757—21no—
269#14519757—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519753C2311yescharacteristic
275#14519753C2311yescharacteristic
276#14519752—21no—
277#14519752—21no—
278#14519752—21no—
279#14519752—21no—
280#14519752C2311yescharacteristic
281#14519752C2311yescharacteristic
282#14519751C2311yescharacteristic
283#14519751C2311yescharacteristic
284#14519750—21no—
285#14519750—21no—
286#14519747—21no—
287#14519747—21no—
288Q8×Dic61C2311yescharacteristic
289Q8×Dic61C2311yescharacteristic
290Q8×Dic61C2311yescharacteristic
291Q8×Dic61C2311yescharacteristic
292C4×Dic122—21no—
293C4×Dic122—21no—
294C4×Dic122C2311yescharacteristic
295C4×Dic122C2311yescharacteristic
296#14519742—21no—
297#14519742—21no—
298#14519742—21no—
299#14519742—21no—
300#14519742C2311yescharacteristic
301#14519742C2311yescharacteristic
302C4×D244—21no—
303C4×D244—21no—
304C4×D244—21no—
305C4×D244—21no—
306C4×D244C2311yescharacteristic
307C4×D244C2311yescharacteristic
308C4×D244C2311yescharacteristic
309C4×D244C2311yescharacteristic
310D4×Dic61—21no—
311D4×Dic61—21no—
312D4×Dic61C2311yescharacteristic
313D4×Dic61C2311yescharacteristic
314#14519739—21no—
315#14519739—21no—
316#14519739—21no—
317#14519739—21no—
318#14519739—21no—
319#14519739—21no—
320#14519739—21no—
321#14519739—21no—
322#14519739C2311yescharacteristic
323#14519739C2311yescharacteristic
324#14519739C2311yescharacteristic
325#14519739C2311yescharacteristic
326C4×C22⋊D61—21no—
327C4×C22⋊D61—21no—
328C4×C22⋊D61—21no—
329C4×C22⋊D61—21no—
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332#14519737—21no—
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519736—21no—
341#14519736C2311yescharacteristic
342#14519735—21no—
343#14519735—21no—
344#14519735—21no—
345#14519735—21no—
346#14519735D411yescharacteristic
347#14519735D411yescharacteristic
348#14519735C2311yescharacteristic
349#14519735C2311yescharacteristic
350#14519734—21no—
351#14519734—21no—
352#14519734C2311yescharacteristic
353#14519734C2311yescharacteristic
354#14519733—21no—
355#14519733—21no—
356#14519733D411yescharacteristic
357#14519733D411yescharacteristic
358C2×C4⋊Dic61—21no—
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61D411yescharacteristic
372C4⋊C4×D61D411yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C4⋊C4×D61C2311yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61D411yescharacteristic
380C22⋊C4×D61D411yescharacteristic
381C42×D61—21no—
382C42×D61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386C42×D61C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C4×#92418C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic
447#126×C61—21no—
448#126×C61—21no—
449#125×C61—21no—
450#125×C61—21no—
451#125×C61C2311yescharacteristic
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×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×C61C2311yescharacteristic
464C2×C4⋊C4×C61—21no—
465C2×C4⋊C4×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61C2×D411yescharacteristic
486#41×C61—22no—
487#41×C61—22no—
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61C2×D411yescharacteristic
508#11758226—22no—
509#11758226—22no—
510#11758226—22no—
511#11758226—22no—
512#11758226—22no—
513#11758226—22no—
514Q8×D61—22no—
515Q8×D61#4114yes—
516#11758224—28no—
517#11758224—22no—
518#11758224—22no—
519D4×D61—28no—
520D4×D61—22no—
521D4×D61#4114yes—
522#11758222—28no—
523#11758222—22no—
524#11758222—22no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244C2411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×D244C2411yescharacteristic
535C2×C4×D61—28no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—22no—
540C2×C4×D61—22no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—82no—
556C2×C4×D61—82no—
557C2×C4×D61—82no—
558C2×C4×D61C2×D411yescharacteristic
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2×D411yescharacteristic
562C2×C4×D61C2×D411yescharacteristic
563C2×C4×D61C2×D411yescharacteristic
564C2×C4×D61C2411yescharacteristic
565C2×C4×D61C2411yescharacteristic
566C2×Dic122—21no—
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122C2411yescharacteristic
570Q16×C61—22no—
571Q16×C61—22no—
572SD16×C61—22no—
573SD16×C61—22no—
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61C2×D411yescharacteristic
590C4⋊C4×C61C2×D411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61C2×D411yescharacteristic
600C22⋊C4×C61C2×D411yescharacteristic
601C42×C61—21no—
602C42×C61—21no—
603C42×C61—21no—
604C42×C61—21no—
605C42×C61C2411yescharacteristic
606C42×C61C2411yescharacteristic
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61C2×D411yescharacteristic
610C22⋊Dic61C2×D411yescharacteristic
611#11758202—22no—
612#11758202—22no—
613#11758201—22no—
614#11758201—22no—
615#11758201—22no—
616#11758201—22no—
617#11758199—22no—
618#11758199—22no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61C2×D411yescharacteristic
649C4⋊Dic61C2×D411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652C4⋊Dic61C2411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692D488—22no—
693D488—22no—
694#11758190—22no—
695#11758190—22no—
696#11758189—22no—
697#11758189—22no—
698#11758189—22no—
699#11758189—22no—
700C23×C61—21no—
701C23×C61C22×D411yescharacteristic
702C22×D61—21no—
703C22×D61—22no—
704C22×D61—24no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—41no—
708C22×D61—41no—
709C22×D61—42no—
710C22×D61—42no—
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61C2×#4112yes—
719D4×C61—24no—
720D4×C61—21no—
721D4×C61C2×#4112yes—
722C2×C4×C61—24no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—81no—
733C2×C4×C61—81no—
734C2×C4×C61—81no—
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C2511yescharacteristic
741C22⋊D61—24no—
742C22⋊D61—24no—
743C22⋊D61—24no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C2×Dic61—24no—
747C2×Dic61—21no—
748C2×Dic61—22no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—81no—
754C2×Dic61—81no—
755C2×Dic61—81no—
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762D244—24no—
763D244—21no—
764D244—21no—
765D244—21no—
766D244—21no—
767D244—21no—
768D244—42no—
769D244—42no—
770D244—81no—
771D244—81no—
772D244—81no—
773D244—81no—
774D244C2×#4112yes—
775C4×D61—24no—
776C4×D61—24no—
777C4×D61—22no—
778C4×D61—24no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—22no—
782C4×D61—41no—
783C4×D61—41no—
784C4×D61—41no—
785C4×D61—41no—
786C4×D61—42no—
787C4×D61—42no—
788C4×D61—42no—
789C4×D61—42no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796C4×D61—81no—
797C4×D61—81no—
798C4×D61—81no—
799C4×D61—81no—
800C4×D61C2×#4112yes—
801C4×D61C2×#4112yes—
802Dic122—21no—
803Dic122—24no—
804Dic122—81no—
805Dic122—81no—
806Dic122C2×#4112yes—
807C8×C61—21no—
808C8×C61—21no—
809C8×C61—21no—
810C8×C61—21no—
811#92418—21no—
812#92418—21no—
813#92418—21no—
814#92418—21no—
815#60565—611nomaximal, Sylow
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—21no—
819C22×C61—22no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61C23×D411yescharacteristic
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—22no—
829C2×D61—44no—
830C2×D61—48no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61#52512yes—
840C4×C61—21no—
841C4×C61—21no—
842C4×C61—21no—
843C4×C61—21no—
844C4×C61—22no—
845C4×C61—21no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61C22×#4111yescharacteristic
853C4×C61C22×#4111yescharacteristic
854Dic61—21no—
855Dic61—21no—
856Dic61—21no—
857Dic61—21no—
858Dic61—22no—
859Dic61—21no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61#52512yes—
865#3455—611no—
866C2×#520—611no—
867#3125—611no—
868#3125—611no—
869#3125—611no—
870#3125—611no—
871#3124—611no—
872#3124—611no—
873#3124—611no—
874#3124—611no—
875#3120—611no—
876#3120—611no—
877#3120—611no—
878#3120D6111yescharacteristic, complemented
879#3119—611no—
880#3119—611no—
881#3119—611no—
882#3119—611no—
883#3092—611no—
884#3092—611no—
885#3078—611no—
886#3077—611no—
887#3037—611no—
888#3036—611no—
889#3005—611no—
890#3005—611no—
891C4×#137—611no—
892C4×#137—611no—
893C4×AGL(1,ℤ/8)—611no—
894C4×AGL(1,ℤ/8)—611no—
895#2921—611no—
896C2×C61—41no—
897C2×C61—42no—
898C2×C61C2×#52511yescharacteristic
899C2×C61#358511yescharacteristic
900C2×C61#358611yescharacteristic
901D61—22no—
902D61—41no—
903D61—42no—
904D61—81no—
905D61—81no—
906C22×#41—611no—
907C2×#137—611no—
908C2×#137—611no—
909C2×AGL(1,ℤ/8)—611no—
910C2×AGL(1,ℤ/8)—611no—
911#542—611no—
912#542—611no—
913#542—611no—
914#542—611no—
915#541—611no—
916#541C2×D6111yescharacteristic, complemented
917#540—611no—
918#540—611no—
919#539—1221no—
920#539—1221no—
921#538—1221no—
922#538—1221no—
923#533—611no—
924#532—611no—
925#529—1221no—
926#529—1221no—
927#529—1221no—
928#529—1221no—
929#525—611no—
930#525—611no—
931#520—611no—
932#520—611no—
933#520—611no—
934#520—611no—
935#520—611no—
936#520—611no—
937#520—611no—
938#520—1221no—
939#520—1221no—
940#520—1221no—
941#520—1221no—
942#520C2×D6111yescharacteristic
943C4×#41—611no—
944C4×#41—611no—
945C2×C4×Q8—611no—
946C2×C4×Q8—611no—
947C2×C4×D4—611no—
948C2×C4×D4—611no—
949C2×C4×D4—1221no—
950C2×C4×D4—1221no—
951C2×#117—611no—
952C2×#117—1221no—
953C22×C4⋊C4—611no—
954C22×C4⋊C4—1221no—
955#484—611no—
956#484—611no—
957#484—611no—
958#484C2×D6111yescharacteristic, complemented
959#483—611no—
960#483—611no—
961#483—611no—
962#483C2×D6111yescharacteristic, complemented
963#481—611no—
964#481—611no—
965#481—611no—
966#481—611no—
967#480—611no—
968#480—611no—
969#480—611no—
970#480—611no—
971#479—611no—
972#479—611no—
973#479—611no—
974#479C2×D6111yescharacteristic, complemented
975#478—611no—
976#478—611no—
977#478—611no—
978#478C2×D6111yescharacteristic, complemented
979#477—611no—
980#477—611no—
981#476—611no—
982#476—611no—
983#475—611no—
984#475—611no—
985#474—611no—
986#474—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#463—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#462—611no—
996#462C2×D6111yescharacteristic, complemented
997#461—611no—
998#461C2×D6111yescharacteristic, complemented
999#460—611no—
1000#460—611no—
1001#459—611no—
1002#459—611no—
1003#452—611no—
1004#452—611no—
1005#452—611no—
1006#452—611no—
1007#452—611no—
1008#452—611no—
1009#452C2×D6111yescharacteristic
1010#452C2×D6111yescharacteristic
1011#449—611no—
1012#449—611no—
1013#449—611no—
1014#449—611no—
1015#449—611no—
1016#449—611no—
1017#449—611no—
1018#449—611no—
1019#442—611no—
1020#442—611no—
1021#442—611no—
1022#442—611no—
1023#441—611no—
1024#441—611no—
1025#441—611no—
1026#441C2×D6111yescharacteristic, complemented
1027#440—611no—
1028#440—611no—
1029#440—611no—
1030#440—611no—
1031#440—611no—
1032#440—611no—
1033#440—611no—
1034#440C2×D6111yescharacteristic, complemented
1035C4×Q16—611no—
1036C4×Q16—611no—
1037C4×Q16—611no—
1038C4×Q16C2×D6111yescharacteristic, complemented
1039C4×SD16—611no—
1040C4×SD16—611no—
1041C4×SD16—611no—
1042C4×SD16—611no—
1043C4×SD16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046C4×SD16C2×D6111yescharacteristic, complemented
1047C4×D8—611no—
1048C4×D8—611no—
1049C4×D8—611no—
1050C4×D8—611no—
1051#433—611no—
1052#433—611no—
1053#433—611no—
1054#433—611no—
1055#433—611no—
1056#433—611no—
1057#433—611no—
1058#433C2×D6111yescharacteristic, complemented
1059#428—611no—
1060#428—611no—
1061#428—611no—
1062#428—611no—
1063#423—611no—
1064#423—611no—
1065#419—611no—
1066#419—611no—
1067#418—611no—
1068#418—611no—
1069#417—611no—
1070#417—611no—
1071#417—611no—
1072#417—611no—
1073#407—611no—
1074#407—611no—
1075C4×M16—611no—
1076C4×M16—611no—
1077C61#6056511yescharacteristic, complemented, Sylow
1078C2×#41—611no—
1079C2×#41—611no—
1080C2×#41—611no—
1081C2×#41—611no—
1082C2×#41—611no—
1083C2×#41—1221no—
1084C2×#41—1221no—
1085C2×#41—1224no—
1086C2×#41—1224no—
1087C2×#41C22×D6111yescharacteristic
1088C22×Q8—611no—
1089C22×D4—611no—
1090C22×D4—1221no—
1091C23×C4—611no—
1092C23×C4—1221no—
1093C23×C4—1221no—
1094C23×C4—1221no—
1095C23×C4—1221no—
1096#137—1224no—
1097#137—1224no—
1098AGL(1,ℤ/8)—1224no—
1099AGL(1,ℤ/8)—1224no—
1100C2×Q16—611no—
1101C2×Q16—611no—
1102C2×Q16C22×D6111yescharacteristic
1103C2×Q16C22×D6111yescharacteristic
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—611no—
1108C2×SD16—611no—
1109C2×SD16—611no—
1110C2×SD16C22×D6111yescharacteristic
1111C2×SD16C22×D6111yescharacteristic
1112C2×D8—611no—
1113C2×D8—611no—
1114C2×D8—611no—
1115C2×D8—611no—
1116C2×M16—611no—
1117C2×M16—611no—
1118C2×M16—611no—
1119C2×M16—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8C22×D6111yescharacteristic
1123#127—611no—
1124#126—21no—
1125#126—21no—
1126#126—1221no—
1127#126—1221no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#125—21no—
1133#125—21no—
1134#125—611no—
1135#125—1221no—
1136#125—1221no—
1137#125C22×D6111yescharacteristic
1138#124—611no—
1139#124—611no—
1140#124—1221no—
1141#124—1221no—
1142#124—1221no—
1143#124—1221no—
1144#123—1221no—
1145#123—1221no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153#123—1221no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8C22×D6111yescharacteristic
1163C22⋊Q8C22×D6111yescharacteristic
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
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—1221no—
1185C4×Q8—1221no—
1186C4×Q8—1221no—
1187C4×Q8—1221no—
1188C4×Q8—1221no—
1189C4×Q8—1221no—
1190C4×Q8C22×D6111yescharacteristic
1191C4×Q8C22×D6111yescharacteristic
1192C4×Q8C22×D6111yescharacteristic
1193C4×Q8C22×D6111yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
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—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
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×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4C22×D6111yescharacteristic
1235C4×D4C22×D6111yescharacteristic
1236#117—21no—
1237#117—611no—
1238#117—611no—
1239#117—611no—
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#117C22×D6111yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4—611no—
1260C2×C4⋊C4—611no—
1261C2×C4⋊C4—611no—
1262C2×C4⋊C4—611no—
1263C2×C4⋊C4—611no—
1264C2×C4⋊C4—1221no—
1265C2×C4⋊C4—1221no—
1266C2×C4⋊C4—1221no—
1267C2×C4⋊C4—1221no—
1268C2×C4⋊C4—1221no—
1269C2×C4⋊C4—1221no—
1270C2×C4⋊C4—1221no—
1271C2×C4⋊C4—1221no—
1272C2×C4⋊C4—1221no—
1273C2×C4⋊C4—1221no—
1274C2×C4⋊C4—1221no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4C22×D6111yescharacteristic
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C42—611no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284C2×C42—1221no—
1285C2×C42—1221no—
1286C2×C42—1221no—
1287#107—611no—
1288#107—611no—
1289#107—611no—
1290#107—611no—
1291#107—611no—
1292#107—611no—
1293#107C22×D6111yescharacteristic
1294#107C22×D6111yescharacteristic
1295#106—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300#106—611no—
1301#106C22×D6111yescharacteristic
1302#106C22×D6111yescharacteristic
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310C4⋊C8C22×D6111yescharacteristic
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102—611no—
1341#102C22×D6111yescharacteristic
1342#102C22×D6111yescharacteristic
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348C22⋊C8—611no—
1349C22⋊C8C22×D6111yescharacteristic
1350C22⋊C8C22×D6111yescharacteristic
1351#97—611no—
1352#97—611no—
1353#97—611no—
1354#97C22×D6111yescharacteristic
1355C4×C8—611no—
1356C4×C8—611no—
1357C4×C8—611no—
1358C4×C8C22×D6111yescharacteristic
1359C24—611no—
1360C24—1221no—
1361#41—22no—
1362#41—22no—
1363#41—1222no—
1364#41—1222no—
1365#41—1228no—
1366#41—1222no—
1367#41—1222no—
1368#41—1222no—
1369#41—1222no—
1370#41—1222no—
1371#41—1228no—
1372#41—1222no—
1373#41—1222no—
1374#41—1222no—
1375C2×Q8—614no—
1376C2×Q8—611no—
1377C2×Q8—1221no—
1378C2×Q8—1221no—
1379C2×Q8—1221no—
1380C2×Q8—1222no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—614no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1222no—
1395C2×D4—1221no—
1396C2×D4—1228no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4C23×D6111yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—611no—
1416C22×C4—611no—
1417C22×C4—1221no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426C22×C4—1221no—
1427C22×C4—1228no—
1428C22×C4—1221no—
1429C22×C4—1221no—
1430C22×C4—1221no—
1431C22×C4—1221no—
1432C22×C4—1221no—
1433C22×C4—1221no—
1434C22×C4—1221no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—1221no—
1438C22×C4—1221no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—4882no—
1442C22×C4—4882no—
1443C22×C4—4882no—
1444C22×C4C23×D6111yescharacteristic
1445Q16—22no—
1446Q16—22no—
1447Q16—1222no—
1448Q16—1222no—
1449SD16—22no—
1450SD16—22no—
1451SD16—1222no—
1452SD16—1222no—
1453SD16—1222no—
1454SD16—1222no—
1455SD16—1222no—
1456SD16—1222no—
1457D8—1222no—
1458D8—1222no—
1459D8—1222no—
1460D8—1222no—
1461M16—1222no—
1462M16—1222no—
1463M16—1222no—
1464M16—1222no—
1465C2×C8—611no—
1466C2×C8—611no—
1467C2×C8—611no—
1468C2×C8—611no—
1469C2×C8C23×D6111yescharacteristic
1470C2×C8C23×D6111yescharacteristic
1471C2×C8C23×D6111yescharacteristic
1472C2×C8C23×D6111yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—611no—
1485C4⋊C4—611no—
1486C4⋊C4—611no—
1487C4⋊C4—611no—
1488C4⋊C4—611no—
1489C4⋊C4—611no—
1490C4⋊C4—611no—
1491C4⋊C4—611no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4D4×D6111yescharacteristic
1514C4⋊C4D4×D6111yescharacteristic
1515C4⋊C4C23×D6111yescharacteristic
1516C4⋊C4C23×D6111yescharacteristic
1517C4⋊C4C23×D6111yescharacteristic
1518C4⋊C4C23×D6111yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—611no—
1527C22⋊C4—611no—
1528C22⋊C4—611no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—611no—
1562C42—611no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42—1221no—
1573C42C23×D6111yescharacteristic
1574C42C23×D6111yescharacteristic
1575C23—21no—
1576C23—611no—
1577C23—611no—
1578C23—1224no—
1579C23—1222no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—2441no—
1584C23—2441no—
1585C23—2442no—
1586C23—2442no—
1587C23C2×D4×D6111yescharacteristic
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—612no—
1594Q8—1224no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8#41×D6112yes—
1599D4—24no—
1600D4—21no—
1601D4—612no—
1602D4—1224no—
1603D4—1224no—
1604D4—1224no—
1605D4—1224no—
1606D4—1221no—
1607D4—1221no—
1608D4—1221no—
1609D4—1221no—
1610D4—1221no—
1611D4—4881no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—2442no—
1618D4—2442no—
1619D4#41×D6112yes—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—611no—
1634C2×C4—612no—
1635C2×C4—612no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—1222no—
1642C2×C4—1222no—
1643C2×C4—1224no—
1644C2×C4—1224no—
1645C2×C4—1224no—
1646C2×C4—1222no—
1647C2×C4—1224no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—4881no—
1663C2×C4—4881no—
1664C2×C4—4881no—
1665C2×C4—4881no—
1666C2×C4—4881no—
1667C2×C4—4881no—
1668C2×C4—2441no—
1669C2×C4—2441no—
1670C2×C4—2441no—
1671C2×C4—2441no—
1672C2×C4—2442no—
1673C2×C4—2442no—
1674C2×C4—2442no—
1675C2×C4—2442no—
1676C2×C4C2×D4×D6111yescharacteristic
1677C2×C4C2×D4×D6111yescharacteristic
1678C2×C4C2×D4×D6111yescharacteristic
1679C2×C4C2×D4×D6111yescharacteristic
1680C2×C4C2×D4×D6111yescharacteristic
1681C2×C4C24×D6111yescharacteristic
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—1221no—
1687C8—1221no—
1688C8—1221no—
1689C8—1221no—
1690C22—21no—
1691C22—22no—
1692C22—21no—
1693C22—21no—
1694C22—41no—
1695C22—41no—
1696C22—612no—
1697C22—1221no—
1698C22—1221no—
1699C22—1222no—
1700C22—1221no—
1701C22—1221no—
1702C22—1221no—
1703C22—2444no—
1704C22—2448no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22C22×D4×D6111yescharacteristic
1714C4—21no—
1715C4—22no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—612no—
1727C4—1221no—
1728C4—1222no—
1729C4—1221no—
1730C4—1221no—
1731C4—1221no—
1732C4—1221no—
1733C4—2441no—
1734C4—2441no—
1735C4—2441no—
1736C4—2441no—
1737C4C2×#41×D6111yescharacteristic
1738C4C2×#41×D6111yescharacteristic
1739C2—41no—
1740C2—42no—
1741C2—1222no—
1742C2—4881no—
1743C2—4881no—
1744C2—2441no—
1745C2—2442no—
1746C2#525×D6111yescharacteristic
1747C2#2146059711yescharacteristic
1748C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3120C2
socleC22×C61C23×D4
hypercenter#3120D61
hypocenterC61#60565
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #21459210C2semidirect
2. #520×D61C2semidirect
3. #21456094C2semidirect
4. #21456092C2semidirect
5. #21456091C2semidirect
6. #21456089C2semidirect
7. #21456087C2semidirect
8. #21456085C2semidirect
9. #21456084C2semidirect
10. #21456082C2semidirect
11. #21456032C2semidirect
12. #21456030C2semidirect
13. #21456027C2semidirect
14. #21456025C2semidirect
15. #21456023C2semidirect
16. #21456020C2semidirect
17. #21456018C2semidirect
18. #21455746C2semidirect
19. #21455743C2semidirect
20. #21455622C2semidirect
21. #21455614C2semidirect
22. #21455292C2semidirect
23. #21455284C2semidirect
24. #21455062C2semidirect
25. #21455062C2semidirect
26. C4×#14519809C2semidirect
27. #21454635C2semidirect
28. C4×#14519804C2semidirect
29. #21454624C2semidirect
30. #21454453C2semidirect
31. C61×#3120C2semidirect
37. #16840385C22semidirect
38. #16840385C22semidirect
39. #16840384C22semidirect
40. #16840384C22semidirect
41. #16840373C22semidirect
42. #16840368C22semidirect
43. #16840367C22semidirect
79. #16840096C22semidirect
80. #16840096C22semidirect
81. #16840095C22semidirect
82. #16840091C22semidirect
83. #16840091C22semidirect
84. #16840090C22semidirect
85. #16840082C22semidirect
86. #16840082C22semidirect
87. #16840081C22semidirect
88. #16840080C22semidirect
89. #16840077C22semidirect
90. #16840077C22semidirect
91. #16840076C22semidirect
92. #16840075C22semidirect
93. #16840070C22semidirect
94. #16840069C22semidirect
95. #16840066C22semidirect
96. #16840063C22semidirect
97. #16840062C22semidirect
98. #16840059C22semidirect
99. #16840056C22semidirect
100. #16840055C22semidirect
101. #16840051C22semidirect
102. #16840050C22semidirect
103. #16840046C22semidirect
104. #16840045C22semidirect
105. #16840041C22semidirect
106. #16840040C22semidirect
107. #16839987C22semidirect
108. #16839987C22semidirect
109. #16839986C22semidirect
110. #16839986C22semidirect
111. #16839980C22semidirect
112. #16839980C22semidirect
113. #16839979C22semidirect
114. #16839979C22semidirect
115. #16839969C22semidirect
116. #16839964C22semidirect
117. #16839963C22semidirect
118. #16839962C22semidirect
119. #16839958C22semidirect
120. #16839957C22semidirect
135. #16839875C22semidirect
136. #16839873C22semidirect
137. #16839872C22semidirect
138. #16839871C22semidirect
139. #16839869C22semidirect
140. #16839867C22semidirect
141. #16839866C22semidirect
142. #16839865C22semidirect
143. #16839865C22semidirect
144. #16839864C22semidirect
145. #16839863C22semidirect
146. #16839861C22semidirect
147. #16839860C22semidirect
148. #16839860C22semidirect
149. Q16×Dic61C22semidirect
150. C4×#11758202C22semidirect
151. #16839854C22semidirect
152. C4×#11758190C22semidirect
153. SD16×Dic61C22semidirect
154. C4×#11758201C22semidirect
155. C4×#11758201C22semidirect
156. #16839849C22semidirect
157. #16839847C22semidirect
158. #16839847C22semidirect
159. C4×D488C22semidirect
160. #16839844C22semidirect
161. C4×#11758199C22semidirect
162. #16839842C22semidirect
163. #16839824C22semidirect
164. #16839823C22semidirect
165. #16839822C22semidirect
166. #16839822C22semidirect
167. #16839821C22semidirect
168. #16839820C22semidirect
169. #16839820C22semidirect
188. C61×#541C22semidirect
190. C61×#484C22semidirect
191. C61×#483C22semidirect
192. C61×#479C22semidirect
193. C61×#478C22semidirect
194. C61×#462C22semidirect
195. C61×#461C22semidirect
198. C61×#441C22semidirect
199. C61×#440C22semidirect
200. C4×Q16×C61C22semidirect
201. C4×SD16×C61C22semidirect
202. C61×#433C22semidirect
878. #3120D61semidirect
916. #541C2×D61semidirect
958. #484C2×D61semidirect
962. #483C2×D61semidirect
974. #479C2×D61semidirect
978. #478C2×D61semidirect
996. #462C2×D61semidirect
998. #461C2×D61semidirect
1026. #441C2×D61semidirect
1034. #440C2×D61semidirect
1038. C4×Q16C2×D61semidirect
1046. C4×SD16C2×D61semidirect
1058. #433C2×D61semidirect
1077. C61#60565semidirect

Maximal subgroups

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

subgroupindex
#214592102
#520×D612
#214560942
#214560922
#214560912
#214560892
#214560872
#214560852
#214560842
#214560822
#214560322
#214560302
#214560272
#214560252
#214560232
#214560202
#214560182
#214557462
#214557432
#214556222
#214556142
#214552922
#214552842
#214550622
C4×#145198092
#214546352
C4×#145198042
#214546242
#214544532
C61×#31202
#6056561