Finite Group Databasebeta

← #30575992

Subgroups — #30575992

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459785C211yesmaximal, characteristic, complemented
2#21459425C211yesmaximal, characteristic, complemented
3#21458777C211yesmaximal, characteristic, complemented
4#21458762C211yesmaximal, characteristic, complemented
5#21458591C211yesmaximal, characteristic, complemented
6#21458576C211yesmaximal, characteristic, complemented
7#21458422C211yesmaximal, characteristic, complemented
8#21458376C211yesmaximal, characteristic, complemented
9#21458310C211yesmaximal, characteristic, complemented
10#21458310C211yesmaximal, characteristic, complemented
11#21458295C211yesmaximal, characteristic, complemented
12#21458280C211yesmaximal, characteristic, complemented
13#21458042C211yesmaximal, characteristic, complemented
14#21458027C211yesmaximal, characteristic, complemented
15#21457966C211yesmaximal, characteristic, complemented
16#21457906C211yesmaximal, characteristic, complemented
17#21457846C211yesmaximal, characteristic, complemented
18#21457786C211yesmaximal, characteristic, complemented
19#21457218C211yesmaximal, characteristic, complemented
20#21457178C211yesmaximal, characteristic, complemented
21#21457064C211yesmaximal, characteristic, complemented
22#21457007C211yesmaximal, characteristic, complemented
23#21456983C211yesmaximal, characteristic, complemented
24#21455956C211yesmaximal, characteristic, complemented
25#21455927C211yesmaximal, characteristic, complemented
26#21455862C211yesmaximal, characteristic, complemented
27#21455638C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29C2×#16840063C211yesmaximal, characteristic, complemented
30#21454937C211yesmaximal, characteristic, complemented
31C61×#3250C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33#16840488C2211yescharacteristic, complemented
34#16840471C2211yescharacteristic, complemented
35#16840470C2211yescharacteristic
36#16840470C2211yescharacteristic, complemented
37#16840468C2211yescharacteristic
38#16840465C2211yescharacteristic
39#16840464C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840463—21no—
42#16840462C2211yescharacteristic, complemented
43#16840454C2211yescharacteristic
44#16840453C2211yescharacteristic, complemented
45#16840451—21no—
46#16840449—21no—
47#16840445—21no—
48#16840437—21no—
49#16840435—21no—
50#16840412C2211yescharacteristic, complemented
51#16840410—21no—
52#16840405C2211yescharacteristic
53#16840404—21no—
54#16840403C2211yescharacteristic
55#16840396C2211yescharacteristic
56#16840369—21no—
57#16840354—21no—
58#16840353—21no—
59#16840318C2211yescharacteristic, complemented
60#16840309C2211yescharacteristic
61#16840299C2211yescharacteristic
62#16840291C2211yescharacteristic, complemented
63#16840291C2211yescharacteristic, complemented
64#16840290—21no—
65C2×#14519769C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840274—21no—
68#16840271—21no—
69#16840241—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C2×C4×D244C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840161C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840123C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic, complemented
85#16840116C2211yescharacteristic, complemented
86#16840116C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840102C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840095C2211yescharacteristic, complemented
91#16840095C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840085C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic
100#16840078C2211yescharacteristic, complemented
101#16840077C2211yescharacteristic, complemented
102#16840074C2211yescharacteristic, complemented
103#16840074C2211yescharacteristic, complemented
104#16840073C2211yescharacteristic
105#16840071C2211yescharacteristic, complemented
106#16840071C2211yescharacteristic, complemented
107#16840069C2211yescharacteristic, complemented
108#16840069C2211yescharacteristic, complemented
109#16840067C2211yescharacteristic, complemented
110#16840065C2211yescharacteristic
111#16840064C2211yescharacteristic, complemented
112#16840063C2211yescharacteristic
113#16840063C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic, complemented
117#16840063C2211yescharacteristic, complemented
118#16840063C2211yescharacteristic, complemented
119#16840063C2211yescharacteristic, complemented
120#16840062C2211yescharacteristic, complemented
121#16840062C2211yescharacteristic, complemented
122#16840061C2211yescharacteristic
123#16840059C2211yescharacteristic
124#16840059C2211yescharacteristic, complemented
125#16840051C2211yescharacteristic
126#16840050C2211yescharacteristic, complemented
127#16840045C2211yescharacteristic, complemented
128#16840041C2211yescharacteristic
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840017C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic
133#16840014C2211yescharacteristic, complemented
134#16840012C2211yescharacteristic, complemented
135#16840011C2211yescharacteristic
136#16840011C2211yescharacteristic, complemented
137#16840005C2211yescharacteristic, complemented
138#16840005C2211yescharacteristic, complemented
139#16839986C2211yescharacteristic, complemented
140#16839979C2211yescharacteristic, complemented
141#16839974C2211yescharacteristic
142#16839974C2211yescharacteristic, complemented
143#16839960C2211yescharacteristic
144#16839955C2211yescharacteristic
145#16839923C2211yescharacteristic
146#16839912C2211yescharacteristic
147#16839911C2211yescharacteristic
148#16839906C2211yescharacteristic
149#16839895C2211yescharacteristic
150#16839894C2211yescharacteristic
151#16839889C2211yescharacteristic, complemented
152#16839889C2211yescharacteristic, complemented
153#16839874C2211yescharacteristic, complemented
154#16839871C2211yescharacteristic
155#16839871C2211yescharacteristic
156#16839869C2211yescharacteristic, complemented
157#16839865C2211yescharacteristic
158#16839865C2211yescharacteristic
159#16839863C2211yescharacteristic, complemented
160#16839863C2211yescharacteristic, complemented
161C4×#11758201C2211yescharacteristic
162C4×#11758201C2211yescharacteristic, complemented
163C4×#11758199C2211yescharacteristic
164C4×#11758199C2211yescharacteristic, complemented
165#16839839C2211yescharacteristic, complemented
166#16839839C2211yescharacteristic, complemented
167#16839833C2211yescharacteristic
168#16839833C2211yescharacteristic
169#16839833C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic, complemented
171#16839818C2211yescharacteristic, complemented
172#16839818C2211yescharacteristic, complemented
173#16839815C2211yescharacteristic, complemented
174#16839803C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178C2×#14519711C2211yescharacteristic, complemented
179C2×#14519709C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519699C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C61×#529C2211yescharacteristic, complemented
190C61×#479C2211yescharacteristic, complemented
191C61×#479C2211yescharacteristic, complemented
192C61×#478C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic
196C61×#465C2211yescharacteristic
197C61×#465C2211yescharacteristic, complemented
198C61×#464C2211yescharacteristic, complemented
199C61×#464C2211yescharacteristic, complemented
200C61×#463C2211yescharacteristic, complemented
201C61×#463C2211yescharacteristic, complemented
202C2×C4⋊C8×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222D411yescharacteristic
206C2×#11758224—21no—
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758201C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220#14519776—21no—
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519773C2311yescharacteristic
225#14519772—21no—
226#14519772—21no—
227#14519772—21no—
228#14519771—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519769—21no—
235#14519769—21no—
236#14519769—21no—
237#14519769C2311yescharacteristic
238#14519769C2311yescharacteristic
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519768—21no—
242#14519768—21no—
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519766C2311yescharacteristic
252#14519763—21no—
253#14519763—21no—
254#14519762—21no—
255#14519762—21no—
256#14519762—21no—
257#14519762—21no—
258#14519761—21no—
259#14519761—21no—
260#14519761—21no—
261#14519761—21no—
262#14519760—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519758—21no—
269#14519757—21no—
270#14519757—21no—
271#14519757—21no—
272#14519756—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519753C2311yescharacteristic
283#14519753C2311yescharacteristic
284#14519753C2311yescharacteristic
285#14519752—21no—
286#14519752—21no—
287#14519752C2311yescharacteristic
288#14519752C2311yescharacteristic
289#14519750—21no—
290#14519750—21no—
291#14519750—21no—
292#14519750—21no—
293#14519749—21no—
294#14519749—21no—
295#14519748C2311yescharacteristic
296#14519748C2311yescharacteristic
297#14519748C2311yescharacteristic
298#14519747—21no—
299#14519747—21no—
300#14519747—21no—
301#14519745—21no—
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305C4×Dic122—21no—
306C4×Dic122D411yescharacteristic
307C4×Dic122C2311yescharacteristic
308#14519742—21no—
309#14519742—21no—
310C4×D244—21no—
311C4×D244—21no—
312C4×D244—21no—
313C4×D244—21no—
314C4×D244D411yescharacteristic
315C4×D244C2311yescharacteristic
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739—21no—
326#14519739—21no—
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329C4×C22⋊D61—21no—
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61D411yescharacteristic
333C4×C22⋊D61D411yescharacteristic
334C4×C22⋊D61C2311yescharacteristic
335C4×C22⋊D61C2311yescharacteristic
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519736D411yescharacteristic
343#14519735—21no—
344#14519735C2311yescharacteristic
345#14519735C2311yescharacteristic
346#14519735C2311yescharacteristic
347#14519734—21no—
348#14519734—21no—
349#14519734D411yescharacteristic
350#14519734D411yescharacteristic
351#14519733—21no—
352#14519733—21no—
353#14519733—21no—
354C2×C4⋊Dic61C2311yescharacteristic
355C2×C4⋊Dic61C2311yescharacteristic
356C2×C4⋊Dic61C2311yescharacteristic
357C2×#11758196—21no—
358C2×#11758196—21no—
359C2×#11758196—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61C2311yescharacteristic
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C2×#11758198—21no—
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C42×D61—21no—
371C42×D61C2311yescharacteristic
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519701C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448#123×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61—21no—
460#117×C61—21no—
461C2×C42×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61C2×D411yescharacteristic
489C22×C4×C61C2×D411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61C2×D411yescharacteristic
498C2×C22⋊D61C2×D411yescharacteristic
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505#11758226—22no—
506#11758226—41no—
507#11758224—44no—
508D4×D61—22no—
509D4×D61—41no—
510D4×D61—44no—
511#11758222—42no—
512#11758222—82no—
513C2×D244—22no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—41no—
519C2×D244C2×D411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—82no—
533C2×C4×D61—82no—
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122C2×D411yescharacteristic
544Q16×C61—41no—
545SD16×C61—41no—
546SD16×C61—41no—
547D8×C61—41no—
548C2×C8×C61—41no—
549C2×C8×C61—41no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61C2×D411yescharacteristic
579C42×C61C2×D411yescharacteristic
580C42×C61C2411yescharacteristic
581C42×C61C2411yescharacteristic
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758201—22no—
591#11758201—41no—
592#11758199—22no—
593#11758199—41no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671#11758189—41no—
672#11758189—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—42no—
697D4×C61—42no—
698C2×C4×C61—22no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—41no—
708C2×C4×C61—42no—
709C2×C4×C61—81no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C2511yescharacteristic
716C22⋊D61—22no—
717C22⋊D61—22no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—42no—
731C2×Dic61—42no—
732C2×Dic61—81no—
733C2×Dic61—81no—
734C2×Dic61—81no—
735C2×Dic61—81no—
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742D244—21no—
743D244—21no—
744D244—21no—
745D244—41no—
746D244—42no—
747D244—42no—
748D244—42no—
749D244—81no—
750D2442−1+412yes—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—41no—
756C4×D61—41no—
757C4×D61—41no—
758C4×D61—41no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769Dic122—41no—
770Dic122—42no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61#57512yes—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—22no—
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250D6111yescharacteristic, complemented
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—81no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—41no—
869D61—41no—
870D61—42no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—1221no—
905#529C2×D6111yescharacteristic
906#529C2×D6111yescharacteristic, complemented
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479C2×D6111yescharacteristic, complemented
953#479C2×D6111yescharacteristic, complemented
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478C2×D6111yescharacteristic, complemented
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467C2×D6111yescharacteristic, complemented
986#466C2×D6111yescharacteristic
987#465C2×D6111yescharacteristic
988#465C2×D6111yescharacteristic, complemented
989#464—611no—
990#464C2×D6111yescharacteristic, complemented
991#464C2×D6111yescharacteristic, complemented
992#463—611no—
993#463—611no—
994#463—611no—
995#463C2×D6111yescharacteristic, complemented
996#463C2×D6111yescharacteristic, complemented
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8C2×D6111yescharacteristic, complemented
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16C22×D6111yescharacteristic
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8C22×D6111yescharacteristic
1066C22×C8C22×D6111yescharacteristic
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071#127—611no—
1072#126—21no—
1073#126—21no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—1221no—
1104#124—1221no—
1105#124C22×D6111yescharacteristic
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8C22×D6111yescharacteristic
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2442no—
1324#41—2441no—
1325#41—2444no—
1326C2×Q8—611no—
1327C2×Q8—1221no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8C23×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1222no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2444no—
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—4882no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—41no—
1386SD16—41no—
1387SD16—41no—
1388SD16—1222no—
1389SD16—2441no—
1390D8—41no—
1391D8—1222no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—41no—
1398C2×C8—41no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
1472C22⋊C4—611no—
1473C22⋊C4—611no—
1474C22⋊C4—611no—
1475C22⋊C4—611no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—21no—
1499C42—21no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—611no—
1519C23—611no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—4881no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—42no—
1542D4—42no—
1543D4—612no—
1544D4—1222no—
1545D4—1222no—
1546D4—1221no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—4881no—
1553D4—2441no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—2441no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—1221no—
1631C22—1221no—
1632C22—1222no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—4884no—
1638C22—4884no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684055912yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059711yescharacteristic
1671C2—22no—
1672C2—81no—
1673C2—81no—
1674C2—4881no—
1675C2—2441no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949411yescharacteristic
1679C2C2×#1684055911yescharacteristic
1680C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3250C2
socleC22×C61C23×D4
hypercenter#3250D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3250

Complements

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

NH ≅ G/Ntype
1. #21459785C2semidirect
2. #21459425C2semidirect
3. #21458777C2semidirect
4. #21458762C2semidirect
5. #21458591C2semidirect
6. #21458576C2semidirect
7. #21458422C2semidirect
8. #21458376C2semidirect
9. #21458310C2semidirect
10. #21458310C2semidirect
11. #21458295C2semidirect
12. #21458280C2semidirect
13. #21458042C2semidirect
14. #21458027C2semidirect
15. #21457966C2semidirect
16. #21457906C2semidirect
17. #21457846C2semidirect
18. #21457786C2semidirect
19. #21457218C2semidirect
20. #21457178C2semidirect
21. #21457064C2semidirect
22. #21457007C2semidirect
23. #21456983C2semidirect
24. #21455956C2semidirect
25. #21455927C2semidirect
26. #21455862C2semidirect
27. #21455638C2semidirect
28. #21455614C2semidirect
29. C2×#16840063C2semidirect
30. #21454937C2semidirect
31. C61×#3250C2semidirect
33. #16840488C22semidirect
34. #16840471C22semidirect
36. #16840470C22semidirect
42. #16840462C22semidirect
44. #16840453C22semidirect
50. #16840412C22semidirect
59. #16840318C22semidirect
62. #16840291C22semidirect
63. #16840291C22semidirect
65. C2×#14519769C22semidirect
66. #125×D61C22semidirect
75. #16840170C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840169C22semidirect
79. #16840161C22semidirect
80. #16840161C22semidirect
83. #16840123C22semidirect
84. #16840123C22semidirect
85. #16840116C22semidirect
86. #16840116C22semidirect
87. #16840102C22semidirect
88. #16840102C22semidirect
89. #16840101C22semidirect
90. #16840095C22semidirect
91. #16840095C22semidirect
92. #16840091C22semidirect
93. #16840090C22semidirect
96. #16840085C22semidirect
97. #16840082C22semidirect
98. #16840079C22semidirect
100. #16840078C22semidirect
101. #16840077C22semidirect
102. #16840074C22semidirect
103. #16840074C22semidirect
105. #16840071C22semidirect
106. #16840071C22semidirect
107. #16840069C22semidirect
108. #16840069C22semidirect
109. #16840067C22semidirect
111. #16840064C22semidirect
116. #16840063C22semidirect
117. #16840063C22semidirect
118. #16840063C22semidirect
119. #16840063C22semidirect
120. #16840062C22semidirect
121. #16840062C22semidirect
124. #16840059C22semidirect
126. #16840050C22semidirect
127. #16840045C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
131. #16840017C22semidirect
133. #16840014C22semidirect
134. #16840012C22semidirect
136. #16840011C22semidirect
137. #16840005C22semidirect
138. #16840005C22semidirect
139. #16839986C22semidirect
140. #16839979C22semidirect
142. #16839974C22semidirect
151. #16839889C22semidirect
152. #16839889C22semidirect
153. #16839874C22semidirect
156. #16839869C22semidirect
159. #16839863C22semidirect
160. #16839863C22semidirect
162. C4×#11758201C22semidirect
164. C4×#11758199C22semidirect
165. #16839839C22semidirect
166. #16839839C22semidirect
169. #16839833C22semidirect
170. #16839833C22semidirect
171. #16839818C22semidirect
172. #16839818C22semidirect
173. #16839815C22semidirect
174. #16839803C22semidirect
175. #16839803C22semidirect
176. #16839801C22semidirect
177. #16839801C22semidirect
178. C2×#14519711C22semidirect
179. C2×#14519709C22semidirect
180. #16839784C22semidirect
181. #16839784C22semidirect
189. C61×#529C22semidirect
190. C61×#479C22semidirect
191. C61×#479C22semidirect
192. C61×#478C22semidirect
193. C61×#478C22semidirect
194. C61×#467C22semidirect
197. C61×#465C22semidirect
198. C61×#464C22semidirect
199. C61×#464C22semidirect
200. C61×#463C22semidirect
201. C61×#463C22semidirect
202. C2×C4⋊C8×C61C22semidirect
851. #3250D61semidirect
906. #529C2×D61semidirect
952. #479C2×D61semidirect
953. #479C2×D61semidirect
969. #478C2×D61semidirect
970. #478C2×D61semidirect
985. #467C2×D61semidirect
988. #465C2×D61semidirect
990. #464C2×D61semidirect
991. #464C2×D61semidirect
995. #463C2×D61semidirect
996. #463C2×D61semidirect
1036. C2×C4⋊C8C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597852
#214594252
#214587772
#214587622
#214585912
#214585762
#214584222
#214583762
#214583102
#214582952
#214582802
#214580422
#214580272
#214579662
#214579062
#214578462
#214577862
#214572182
#214571782
#214570642
#214570072
#214569832
#214559562
#214559272
#214558622
#214556382
#214556142
C2×#168400632
#214549372
C61×#32502
#6211961