Finite Group Databasebeta

← #30548389

Subgroups — #30548389

Order 15616.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459210C211yesmaximal, characteristic, complemented
2#21459019C211yesmaximal, characteristic, complemented
3#21456117C211yesmaximal, characteristic, complemented
4#21456112C211yesmaximal, characteristic, complemented
5#21456091C211yesmaximal, characteristic, complemented
6#21456089C211yesmaximal, characteristic, complemented
7#21456084C211yesmaximal, characteristic, complemented
8#21456082C211yesmaximal, characteristic, complemented
9#21456069C211yesmaximal, characteristic, complemented
10#21456064C211yesmaximal, characteristic, complemented
11#21456054C211yesmaximal, characteristic, complemented
12#21456052C211yesmaximal, characteristic, complemented
13#21456027C211yesmaximal, characteristic, complemented
14#21456020C211yesmaximal, characteristic, complemented
15#21456018C211yesmaximal, characteristic, complemented
16#21456009C211yesmaximal, characteristic, complemented
17#21456007C211yesmaximal, characteristic, complemented
18#21455735C211yesmaximal, characteristic, complemented
19#21455733C211yesmaximal, characteristic, complemented
20#21455606C211yesmaximal, characteristic, complemented
21#21455604C211yesmaximal, characteristic, complemented
22#21455277C211yesmaximal, characteristic, complemented
23#21455275C211yesmaximal, characteristic, complemented
24#21455040C211yesmaximal, characteristic, complemented
25#21455040C211yesmaximal, characteristic, complemented
26#21454618C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28C4×#14519800C211yesmaximal, characteristic, complemented
29C4×#14519798C211yesmaximal, characteristic, complemented
30#433×D61C211yesmaximal, characteristic, complemented
31C61×#3120C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#14519800C2211yescharacteristic
34C2×#14519800C2211yescharacteristic
35C2×#14519798C2211yescharacteristic
36C2×#14519798C2211yescharacteristic
37#16840385C2211yescharacteristic, complemented
38#16840385C2211yescharacteristic, complemented
39#16840384C2211yescharacteristic
40#16840384C2211yescharacteristic
41#16840373C2211yescharacteristic
42#16840368C2211yescharacteristic
43#16840367C2211yescharacteristic, complemented
44#16840360—21no—
45#16840360—21no—
46#16840351—21no—
47#16840351—21no—
48#16840318C2211yescharacteristic, complemented
49#16840313C2211yescharacteristic, complemented
50#16840297—21no—
51#16840297—21no—
52#16840295—21no—
53#16840295—21no—
54#16840275C2211yescharacteristic
55#16840275C2211yescharacteristic
56#16840245C2211yescharacteristic
57#16840243—21no—
58#16840243C2211yescharacteristic
59#16840242—21no—
60#16840242C2211yescharacteristic
61#16840238C2211yescharacteristic
62#16840238C2211yescharacteristic
63#16840234—21no—
64#16840234—21no—
65#16840234C2211yescharacteristic
66#16840234C2211yescharacteristic
67C4×#11758226C2211yescharacteristic
68C4×#11758226C2211yescharacteristic
69C4×#11758226C2211yescharacteristic, complemented
70C4×#11758226C2211yescharacteristic, complemented
71C4×#11758224—21no—
72C4×#11758224—21no—
73C4×#11758224C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75C2×#14519735—21no—
76C2×#14519735C2211yescharacteristic
77#117×D61—21no—
78#117×D61C2211yescharacteristic
79#16840102C2211yescharacteristic
80#16840102C2211yescharacteristic
81#16840101C2211yescharacteristic
82#16840101C2211yescharacteristic
83#16840095C2211yescharacteristic, complemented
84#16840090C2211yescharacteristic, complemented
85#16840089C2211yescharacteristic
86#16840089C2211yescharacteristic
87#16840088C2211yescharacteristic
88#16840088C2211yescharacteristic
89#16840081C2211yescharacteristic, complemented
90#16840080C2211yescharacteristic, 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#16839922C2211yescharacteristic
122#16839922C2211yescharacteristic
123#16839916C2211yescharacteristic
124#16839916C2211yescharacteristic
125#16839911C2211yescharacteristic
126#16839911C2211yescharacteristic
127#16839909C2211yescharacteristic
128#16839909C2211yescharacteristic
129#16839907C2211yescharacteristic
130#16839907C2211yescharacteristic
131#16839902C2211yescharacteristic
132#16839902C2211yescharacteristic
133#16839897C2211yescharacteristic
134#16839897C2211yescharacteristic
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
164#16839823C2211yescharacteristic, complemented
165#16839822C2211yescharacteristic
166#16839822C2211yescharacteristic
167#16839821C2211yescharacteristic
168#16839820C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#16839799C2211yescharacteristic, complemented
171#16839799C2211yescharacteristic, complemented
172#16839797C2211yescharacteristic, complemented
173#16839797C2211yescharacteristic, complemented
174C4⋊C8×D61C2211yescharacteristic, complemented
175C4⋊C8×D61C2211yescharacteristic, complemented
176#16839757C2211yescharacteristic
177#16839757C2211yescharacteristic
178#16839757C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic, complemented
180#16839757C2211yescharacteristic, complemented
181#16839757C2211yescharacteristic, complemented
182#16839755C2211yescharacteristic
183#16839755C2211yescharacteristic
184C22⋊C8×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186#97×D61C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
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×D61C2311yescharacteristic
217#14519800—24no—
218#14519800—24no—
219#14519798—24no—
220#14519798—24no—
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×D488C2311yescharacteristic
230C2×D488C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C2×C8×D61C2311yescharacteristic
234C2×C8×D61C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519774C2311yescharacteristic
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519771—21no—
245#14519771—21no—
246#14519769C2311yescharacteristic
247#14519767—21no—
248#14519767—21no—
249#14519766C2311yescharacteristic
250#14519766C2311yescharacteristic
251#14519765—21no—
252#14519765—21no—
253#14519763—21no—
254#14519763—21no—
255#14519762—21no—
256#14519762—21no—
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519759—21no—
264#14519759—21no—
265#14519757—21no—
266#14519757—21no—
267#14519755—21no—
268#14519755—21no—
269#14519755—21no—
270#14519755—21no—
271#14519753C2311yescharacteristic
272#14519753C2311yescharacteristic
273#14519752—21no—
274#14519752—21no—
275#14519752—21no—
276#14519752—21no—
277#14519752C2311yescharacteristic
278#14519752C2311yescharacteristic
279#14519751C2311yescharacteristic
280#14519751C2311yescharacteristic
281#14519750—21no—
282#14519750—21no—
283#14519747—21no—
284#14519747—21no—
285Q8×Dic61C2311yescharacteristic
286Q8×Dic61C2311yescharacteristic
287Q8×Dic61C2311yescharacteristic
288Q8×Dic61C2311yescharacteristic
289C4×Dic122—21no—
290C4×Dic122—21no—
291C4×Dic122C2311yescharacteristic
292C4×Dic122C2311yescharacteristic
293#14519742—21no—
294#14519742—21no—
295#14519742—21no—
296#14519742—21no—
297#14519742C2311yescharacteristic
298#14519742C2311yescharacteristic
299C4×D244—21no—
300C4×D244—21no—
301C4×D244—21no—
302C4×D244—21no—
303C4×D244C2311yescharacteristic
304C4×D244C2311yescharacteristic
305C4×D244C2311yescharacteristic
306C4×D244C2311yescharacteristic
307D4×Dic61—21no—
308D4×Dic61—21no—
309D4×Dic61C2311yescharacteristic
310D4×Dic61C2311yescharacteristic
311#14519739—21no—
312#14519739—21no—
313#14519739—21no—
314#14519739—21no—
315#14519739—21no—
316#14519739—21no—
317#14519739—21no—
318#14519739—21no—
319#14519739C2311yescharacteristic
320#14519739C2311yescharacteristic
321#14519739C2311yescharacteristic
322#14519739C2311yescharacteristic
323C4×C22⋊D61—21no—
324C4×C22⋊D61—21no—
325C4×C22⋊D61—21no—
326C4×C22⋊D61—21no—
327C4×C22⋊D61—21no—
328C4×C22⋊D61—21no—
329#14519737—21no—
330#14519737—21no—
331#14519737—21no—
332#14519737—21no—
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519736—21no—
338#14519736C2311yescharacteristic
339#14519735—21no—
340#14519735—21no—
341#14519735—21no—
342#14519735—21no—
343#14519735—21no—
344#14519735—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735D411yescharacteristic
350#14519735D411yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519734—21no—
359#14519734C2311yescharacteristic
360#14519734C2311yescharacteristic
361#14519733—21no—
362#14519733—21no—
363#14519733D411yescharacteristic
364#14519733D411yescharacteristic
365C2×C4⋊Dic61—21no—
366C2×C4⋊Dic61C2311yescharacteristic
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61D411yescharacteristic
370C4⋊C4×D61D411yescharacteristic
371C2×#11758198—21no—
372C2×#11758198—21no—
373C2×#11758198—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61D411yescharacteristic
377C22⋊C4×D61D411yescharacteristic
378C2×C4×Dic61—21no—
379C2×C4×Dic61—21no—
380C2×C4×Dic61—21no—
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#4114yes—
514Q8×D61—22no—
515Q8×D61—22no—
516#11758224—28no—
517#11758224—22no—
518#11758224#4114yes—
519D4×D61—28no—
520D4×D61—22no—
521D4×D61—22no—
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×D61C2×D411yescharacteristic
552C2×C4×D61C2×D411yescharacteristic
553C2×C4×D61C2×D411yescharacteristic
554C2×C4×D61C2×D411yescharacteristic
555C2×C4×D61C2×D411yescharacteristic
556C2×C4×D61C2×D411yescharacteristic
557C2×C4×D61C2411yescharacteristic
558C2×C4×D61C2411yescharacteristic
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122—21no—
562C2×Dic122C2411yescharacteristic
563Q16×C61—22no—
564Q16×C61—22no—
565SD16×C61—22no—
566SD16×C61—22no—
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2×D411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
587C4⋊C4×C61C2411yescharacteristic
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61C2×D411yescharacteristic
593C22⋊C4×C61C2×D411yescharacteristic
594C42×C61—21no—
595C42×C61—21no—
596C42×C61—21no—
597C42×C61—21no—
598C42×C61C2411yescharacteristic
599C42×C61C2411yescharacteristic
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61C2×D411yescharacteristic
603C22⋊Dic61C2×D411yescharacteristic
604#11758202—22no—
605#11758202—22no—
606#11758201—22no—
607#11758201—22no—
608#11758201—22no—
609#11758201—22no—
610#11758199—22no—
611#11758199—22no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#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#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61C2×D411yescharacteristic
646C4⋊Dic61C2×D411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648C4⋊Dic61C2411yescharacteristic
649C4⋊Dic61C2411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196C2×D411yescharacteristic
662#11758196C2×D411yescharacteristic
663#11758196C2×D411yescharacteristic
664#11758196C2×D411yescharacteristic
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61C2×D411yescharacteristic
680C4×Dic61C2×D411yescharacteristic
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686C2×#92418C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689D488—22no—
690D488—22no—
691#11758190—22no—
692#11758190—22no—
693C8×D61—22no—
694C8×D61—22no—
695C8×D61—22no—
696C8×D61—22no—
697C23×C61—21no—
698C23×C61C22×D411yescharacteristic
699C22×D61—21no—
700C22×D61—24no—
701C22×D61—22no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—41no—
705C22×D61—41no—
706C22×D61—81no—
707C22×D61—81no—
708C22×D61C22×D411yescharacteristic
709C22×D61C22×D411yescharacteristic
710Q8×C61—21no—
711Q8×C61—21no—
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61C2×#4112yes—
716D4×C61—24no—
717D4×C61—21no—
718D4×C61C2×#4112yes—
719C2×C4×C61—24no—
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—21no—
728C2×C4×C61—21no—
729C2×C4×C61—81no—
730C2×C4×C61—81no—
731C2×C4×C61—81no—
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C2511yescharacteristic
738C22⋊D61—24no—
739C22⋊D61—24no—
740C22⋊D61—24no—
741C22⋊D61—81no—
742C22⋊D61—81no—
743C2×Dic61—21no—
744C2×Dic61—22no—
745C2×Dic61—24no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—81no—
751C2×Dic61—81no—
752C2×Dic61—81no—
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759D244—24no—
760D244—21no—
761D244—21no—
762D244—21no—
763D244—21no—
764D244—21no—
765D244—42no—
766D244—42no—
767D244—81no—
768D244—81no—
769D244—81no—
770D244—81no—
771D244C2×#4112yes—
772C4×D61—24no—
773C4×D61—24no—
774C4×D61—22no—
775C4×D61—21no—
776C4×D61—21no—
777C4×D61—22no—
778C4×D61—24no—
779C4×D61—41no—
780C4×D61—41no—
781C4×D61—41no—
782C4×D61—41no—
783C4×D61—42no—
784C4×D61—42no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793C4×D61C2×#4112yes—
794C4×D61C2×#4112yes—
795Dic122—24no—
796Dic122—21no—
797Dic122—81no—
798Dic122—81no—
799Dic122C2×#4112yes—
800C8×C61—21no—
801C8×C61—21no—
802C8×C61—21no—
803C8×C61—21no—
804#92418—21no—
805#92418—21no—
806#92418—21no—
807#92418—21no—
808#60557—611nomaximal, Sylow
809C22×C61—21no—
810C22×C61—21no—
811C22×C61—21no—
812C22×C61—22no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61C23×D411yescharacteristic
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—22no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—82no—
831C2×D61—84no—
832C2×D61#52512yes—
833C4×C61—21no—
834C4×C61—21no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—22no—
838C4×C61—21no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61C22×#4111yescharacteristic
846C4×C61C22×#4111yescharacteristic
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—22no—
853Dic61—41no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61#52512yes—
858#3455—611no—
859#3428—611no—
860#3127—611no—
861#3126—611no—
862#3125—611no—
863#3125—611no—
864#3124—611no—
865#3124—611no—
866#3123—611no—
867#3122—611no—
868#3121—611no—
869#3121—611no—
870#3120—611no—
871#3120D6111yescharacteristic, complemented
872#3119—611no—
873#3119—611no—
874#3118—611no—
875#3118—611no—
876#3091—611no—
877#3091—611no—
878#3076—611no—
879#3076—611no—
880#3035—611no—
881#3035—611no—
882#3002—611no—
883#3002—611no—
884#2943—611no—
885#2943—611no—
886C4×#135—611no—
887C4×#135—611no—
888C2×#433—611no—
889C2×C61—41no—
890C2×C61—42no—
891C2×C61C2×#52511yescharacteristic
892C2×C61#358411yescharacteristic
893C2×C61#358411yescharacteristic
894D61—22no—
895D61—41no—
896D61—42no—
897D61—81no—
898D61—81no—
899C22×#41—611no—
900C2×#135—611no—
901C2×#135—611no—
902C2×#135—611no—
903C2×#135—611no—
904#542—611no—
905#542—611no—
906#542—611no—
907#542—611no—
908#541—611no—
909#541C2×D6111yescharacteristic, complemented
910#540—611no—
911#540—611no—
912#539—1221no—
913#539—1221no—
914#538—1221no—
915#538—1221no—
916#533—611no—
917#532—611no—
918#529—1221no—
919#529—1221no—
920#529—1221no—
921#529—1221no—
922#525—611no—
923#525—611no—
924#520—611no—
925#520—611no—
926#520—611no—
927#520—1221no—
928#520—1221no—
929#520C2×D6111yescharacteristic
930#519—611no—
931#519—611no—
932#518—611no—
933#518—611no—
934#518—1221no—
935#518—1221no—
936C4×#41—611no—
937C4×#41—611no—
938C4×#41—611no—
939C4×#41—611no—
940C4×#41—611no—
941C4×#41—611no—
942C4×#41—1221no—
943C4×#41—1221no—
944C2×#117—611no—
945C2×#117—611no—
946C2×#117—1221no—
947C2×#117—1221no—
948#485—611no—
949#485—611no—
950#485—611no—
951#485—611no—
952#484—611no—
953#484C2×D6111yescharacteristic, complemented
954#483—611no—
955#483C2×D6111yescharacteristic, complemented
956#482—611no—
957#482—611no—
958#482—611no—
959#482—611no—
960#481—611no—
961#481—611no—
962#480—611no—
963#480—611no—
964#479—611no—
965#479—611no—
966#479—611no—
967#479C2×D6111yescharacteristic, complemented
968#478—611no—
969#478—611no—
970#478—611no—
971#478C2×D6111yescharacteristic, complemented
972#477—611no—
973#477—611no—
974#476—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#464—611no—
981#464—611no—
982#464—611no—
983#464—611no—
984#463—611no—
985#463—611no—
986#463—611no—
987#463—611no—
988#462—611no—
989#462C2×D6111yescharacteristic, complemented
990#461—611no—
991#461C2×D6111yescharacteristic, complemented
992#460—611no—
993#460—611no—
994#459—611no—
995#459—611no—
996#452—611no—
997#452—611no—
998#452C2×D6111yescharacteristic
999#452C2×D6111yescharacteristic
1000#451—611no—
1001#451—611no—
1002#450—611no—
1003#450—611no—
1004#449—611no—
1005#449—611no—
1006#449—611no—
1007#449—611no—
1008#448—611no—
1009#448—611no—
1010#447—611no—
1011#447—611no—
1012#442—611no—
1013#442—611no—
1014#442—611no—
1015#442—611no—
1016#441—611no—
1017#441—611no—
1018#441—611no—
1019#441C2×D6111yescharacteristic, complemented
1020#440—611no—
1021#440—611no—
1022#440—611no—
1023#440—611no—
1024#440—611no—
1025#440—611no—
1026#440—611no—
1027#440C2×D6111yescharacteristic, complemented
1028C4×Q16—611no—
1029C4×Q16—611no—
1030C4×Q16—611no—
1031C4×Q16C2×D6111yescharacteristic, complemented
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16—611no—
1035C4×SD16—611no—
1036C4×SD16—611no—
1037C4×SD16—611no—
1038C4×SD16—611no—
1039C4×SD16C2×D6111yescharacteristic, complemented
1040C4×D8—611no—
1041C4×D8—611no—
1042C4×D8—611no—
1043C4×D8—611no—
1044#433—611no—
1045#433—611no—
1046#433—611no—
1047#433—611no—
1048#433—611no—
1049#433—611no—
1050#433—611no—
1051#433C2×D6111yescharacteristic, complemented
1052#427—611no—
1053#427—611no—
1054#427—611no—
1055#427—611no—
1056C2×C4⋊C8—611no—
1057C2×C4⋊C8—611no—
1058#416—611no—
1059#416—611no—
1060#416—611no—
1061#416—611no—
1062#416—611no—
1063#416—611no—
1064#416—611no—
1065#416—611no—
1066C2×C22⋊C8—611no—
1067C2×C22⋊C8—611no—
1068C2×#97—611no—
1069C2×C4×C8—611no—
1070C61#6055711yescharacteristic, complemented, Sylow
1071C2×#41—611no—
1072C2×#41—611no—
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—1221no—
1077C2×#41—1221no—
1078C2×#41—1224no—
1079C2×#41—1224no—
1080C2×#41C22×D6111yescharacteristic
1081C22×Q8—611no—
1082C22×D4—611no—
1083C22×D4—1221no—
1084C23×C4—611no—
1085C23×C4—1221no—
1086#135—1224no—
1087#135—1224no—
1088#135—1224no—
1089#135—1224no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16C22×D6111yescharacteristic
1093C2×Q16C22×D6111yescharacteristic
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8—611no—
1104C2×D8—611no—
1105C2×D8—611no—
1106C22×C8—611no—
1107C22×C8—611no—
1108C22×C8—611no—
1109C22×C8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8C22×D6111yescharacteristic
1113#127—611no—
1114#126—21no—
1115#126—21no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#125—21no—
1123#125—21no—
1124#125—611no—
1125#125—1221no—
1126#125—1221no—
1127#125C22×D6111yescharacteristic
1128#124—611no—
1129#124—611no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8C22×D6111yescharacteristic
1153C22⋊Q8C22×D6111yescharacteristic
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#120—1221no—
1165#120—1221no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8C22×D6111yescharacteristic
1181C4×Q8C22×D6111yescharacteristic
1182C4×Q8C22×D6111yescharacteristic
1183C4×Q8C22×D6111yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226#117—21no—
1227#117—611no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—611no—
1238#117—611no—
1239#117—611no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
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—1221no—
1261C2×C4⋊C4—1221no—
1262C2×C4⋊C4—1221no—
1263C2×C4⋊C4C22×D6111yescharacteristic
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—1221no—
1267C2×C22⋊C4—1221no—
1268C2×C22⋊C4—1221no—
1269C2×C22⋊C4—1221no—
1270C2×C22⋊C4—1221no—
1271C2×C42—611no—
1272C2×C42—611no—
1273C2×C42—1221no—
1274C2×C42—1221no—
1275C2×C42—1221no—
1276C2×C42—1221no—
1277C2×C42—1221no—
1278C2×C42—1221no—
1279C2×C42—1221no—
1280#107—611no—
1281#107—611no—
1282#107—611no—
1283#107—611no—
1284#107—611no—
1285#107—611no—
1286#107C22×D6111yescharacteristic
1287#107C22×D6111yescharacteristic
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106C22×D6111yescharacteristic
1295#106C22×D6111yescharacteristic
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8C22×D6111yescharacteristic
1303C4⋊C8C22×D6111yescharacteristic
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103C22×D6111yescharacteristic
1315#103C22×D6111yescharacteristic
1316#103C22×D6111yescharacteristic
1317#103C22×D6111yescharacteristic
1318#103C22×D6111yescharacteristic
1319#103C22×D6111yescharacteristic
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102C22×D6111yescharacteristic
1335#102C22×D6111yescharacteristic
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8—611no—
1339C22⋊C8—611no—
1340C22⋊C8—611no—
1341C22⋊C8—611no—
1342C22⋊C8C22×D6111yescharacteristic
1343C22⋊C8C22×D6111yescharacteristic
1344#97—611no—
1345#97—611no—
1346#97—611no—
1347#97C22×D6111yescharacteristic
1348C4×C8—611no—
1349C4×C8—611no—
1350C4×C8—611no—
1351C4×C8C22×D6111yescharacteristic
1352C24—611no—
1353C24—1221no—
1354#41—22no—
1355#41—22no—
1356#41—614no—
1357#41—614no—
1358#41—1222no—
1359#41—1222no—
1360#41—1228no—
1361#41—1222no—
1362#41—1222no—
1363#41—1222no—
1364#41—1222no—
1365#41—1222no—
1366#41—1222no—
1367#41—1228no—
1368C2×Q8—611no—
1369C2×Q8—1221no—
1370C2×Q8—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1222no—
1373C2×Q8—1222no—
1374C2×Q8C23×D6111yescharacteristic
1375C2×Q8C23×D6111yescharacteristic
1376C2×Q8C23×D6111yescharacteristic
1377C2×D4—21no—
1378C2×D4—611no—
1379C2×D4—611no—
1380C2×D4—611no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1222no—
1388C2×D4—1228no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1222no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4C23×D6111yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—1221no—
1411C22×C4—1222no—
1412C22×C4—1222no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1228no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426C22×C4—1221no—
1427C22×C4—1221no—
1428C22×C4—1221no—
1429C22×C4—1221no—
1430C22×C4C23×D6111yescharacteristic
1431Q16—22no—
1432Q16—22no—
1433Q16—1222no—
1434Q16—1222no—
1435SD16—22no—
1436SD16—22no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—1222no—
1440SD16—1222no—
1441SD16—1222no—
1442SD16—1222no—
1443D8—1222no—
1444D8—1222no—
1445D8—1222no—
1446D8—1222no—
1447C2×C8—611no—
1448C2×C8—611no—
1449C2×C8—611no—
1450C2×C8—611no—
1451C2×C8—1222no—
1452C2×C8—1222no—
1453C2×C8—1222no—
1454C2×C8—1222no—
1455C2×C8C23×D6111yescharacteristic
1456C2×C8C23×D6111yescharacteristic
1457C2×C8C23×D6111yescharacteristic
1458C2×C8C23×D6111yescharacteristic
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4D4×D6111yescharacteristic
1496C4⋊C4D4×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C4⋊C4C23×D6111yescharacteristic
1500C4⋊C4C23×D6111yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—611no—
1506C22⋊C4—611no—
1507C22⋊C4—611no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
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⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4D4×D6111yescharacteristic
1538C22⋊C4D4×D6111yescharacteristic
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—611no—
1544C42—611no—
1545C42—611no—
1546C42—611no—
1547C42—611no—
1548C42—611no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—611no—
1567C23—611no—
1568C23—1222no—
1569C23—1224no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—4881no—
1574C23—4881no—
1575C23—2441no—
1576C23—2441no—
1577C23C2×D4×D6111yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—612no—
1584Q8—1224no—
1585Q8—1221no—
1586Q8—4881no—
1587Q8—4881no—
1588Q8#41×D6112yes—
1589D4—24no—
1590D4—21no—
1591D4—612no—
1592D4—1224no—
1593D4—1224no—
1594D4—1224no—
1595D4—1224no—
1596D4—1221no—
1597D4—1221no—
1598D4—1221no—
1599D4—1221no—
1600D4—1221no—
1601D4—4881no—
1602D4—4881no—
1603D4—4881no—
1604D4—4881no—
1605D4—4881no—
1606D4—4881no—
1607D4—2442no—
1608D4—2442no—
1609D4#41×D6112yes—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—611no—
1624C2×C4—612no—
1625C2×C4—612no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—1222no—
1632C2×C4—1224no—
1633C2×C4—1222no—
1634C2×C4—1224no—
1635C2×C4—1224no—
1636C2×C4—1222no—
1637C2×C4—1224no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—4881no—
1649C2×C4—4881no—
1650C2×C4—4881no—
1651C2×C4—4881no—
1652C2×C4—4881no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—2441no—
1657C2×C4—2441no—
1658C2×C4—2441no—
1659C2×C4—2441no—
1660C2×C4—2442no—
1661C2×C4—2442no—
1662C2×C4C2×D4×D6111yescharacteristic
1663C2×C4C2×D4×D6111yescharacteristic
1664C2×C4C2×D4×D6111yescharacteristic
1665C2×C4C2×D4×D6111yescharacteristic
1666C2×C4C2×D4×D6111yescharacteristic
1667C2×C4C24×D6111yescharacteristic
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—1221no—
1673C8—1221no—
1674C8—1221no—
1675C8—1221no—
1676C22—21no—
1677C22—21no—
1678C22—22no—
1679C22—21no—
1680C22—41no—
1681C22—41no—
1682C22—612no—
1683C22—1221no—
1684C22—1221no—
1685C22—1221no—
1686C22—1221no—
1687C22—1222no—
1688C22—1221no—
1689C22—4882no—
1690C22—4884no—
1691C22—2441no—
1692C22—2441no—
1693C22—2441no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22C22×D4×D6111yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—22no—
1704C4—21no—
1705C4—21no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—612no—
1713C4—1221no—
1714C4—1221no—
1715C4—1221no—
1716C4—1222no—
1717C4—1221no—
1718C4—1221no—
1719C4—2441no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4C2×#41×D6111yescharacteristic
1724C4C2×#41×D6111yescharacteristic
1725C2—41no—
1726C2—42no—
1727C2—1222no—
1728C2—4881no—
1729C2—4881no—
1730C2—2441no—
1731C2—2442no—
1732C2#525×D6111yescharacteristic
1733C2#2146058911yescharacteristic
1734C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3120C2
socleC22×C61C23×D4
hypercenter#3120D61
hypocenterC61#60557
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. #21459019C2semidirect
3. #21456117C2semidirect
4. #21456112C2semidirect
5. #21456091C2semidirect
6. #21456089C2semidirect
7. #21456084C2semidirect
8. #21456082C2semidirect
9. #21456069C2semidirect
10. #21456064C2semidirect
11. #21456054C2semidirect
12. #21456052C2semidirect
13. #21456027C2semidirect
14. #21456020C2semidirect
15. #21456018C2semidirect
16. #21456009C2semidirect
17. #21456007C2semidirect
18. #21455735C2semidirect
19. #21455733C2semidirect
20. #21455606C2semidirect
21. #21455604C2semidirect
22. #21455277C2semidirect
23. #21455275C2semidirect
24. #21455040C2semidirect
25. #21455040C2semidirect
26. #21454618C2semidirect
27. #21454614C2semidirect
28. C4×#14519800C2semidirect
29. C4×#14519798C2semidirect
30. #433×D61C2semidirect
31. C61×#3120C2semidirect
37. #16840385C22semidirect
38. #16840385C22semidirect
43. #16840367C22semidirect
48. #16840318C22semidirect
49. #16840313C22semidirect
69. C4×#11758226C22semidirect
70. C4×#11758226C22semidirect
83. #16840095C22semidirect
84. #16840090C22semidirect
89. #16840081C22semidirect
90. #16840080C22semidirect
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
164. #16839823C22semidirect
168. #16839820C22semidirect
169. #16839820C22semidirect
170. #16839799C22semidirect
171. #16839799C22semidirect
172. #16839797C22semidirect
173. #16839797C22semidirect
174. C4⋊C8×D61C22semidirect
175. C4⋊C8×D61C22semidirect
178. #16839757C22semidirect
179. #16839757C22semidirect
180. #16839757C22semidirect
181. #16839757C22semidirect
186. #97×D61C22semidirect
187. C4×C8×D61C22semidirect
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
871. #3120D61semidirect
909. #541C2×D61semidirect
953. #484C2×D61semidirect
955. #483C2×D61semidirect
967. #479C2×D61semidirect
971. #478C2×D61semidirect
989. #462C2×D61semidirect
991. #461C2×D61semidirect
1019. #441C2×D61semidirect
1027. #440C2×D61semidirect
1031. C4×Q16C2×D61semidirect
1039. C4×SD16C2×D61semidirect
1051. #433C2×D61semidirect
1070. C61#60557semidirect

Maximal subgroups

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

subgroupindex
#214592102
#214590192
#214561172
#214561122
#214560912
#214560892
#214560842
#214560822
#214560692
#214560642
#214560542
#214560522
#214560272
#214560202
#214560182
#214560092
#214560072
#214557352
#214557332
#214556062
#214556042
#214552772
#214552752
#214550402
#214546182
#214546142
C4×#145198002
C4×#145197982
#433×D612
C61×#31202
#6055761