Finite Group Databasebeta

← #30577218

Subgroups — #30577218

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460466C211yesmaximal, characteristic, complemented
2#21459765C211yesmaximal, characteristic, complemented
3#21458772C211yesmaximal, characteristic, complemented
4#21458693C211yesmaximal, characteristic, complemented
5#21458584C211yesmaximal, characteristic, complemented
6#21458474C211yesmaximal, characteristic, complemented
7#21458417C211yesmaximal, characteristic, complemented
8#21458385C211yesmaximal, characteristic, complemented
9#21458374C211yesmaximal, characteristic, complemented
10#21458355C211yesmaximal, characteristic, complemented
11#21458256C211yesmaximal, characteristic, complemented
12#21458216C211yesmaximal, characteristic, complemented
13#21458045C211yesmaximal, characteristic, complemented
14#21458042C211yesmaximal, characteristic, complemented
15#21458026C211yesmaximal, characteristic, complemented
16#21457982C211yesmaximal, characteristic, complemented
17#21457966C211yesmaximal, characteristic, complemented
18#21457660C211yesmaximal, characteristic, complemented
19#21457227C211yesmaximal, characteristic, complemented
20#21457218C211yesmaximal, characteristic, complemented
21#21457111C211yesmaximal, characteristic, complemented
22#21457079C211yesmaximal, characteristic, complemented
23#21457003C211yesmaximal, characteristic, complemented
24#21456095C211yesmaximal, characteristic, complemented
25#21455997C211yesmaximal, characteristic, complemented
26#21455865C211yesmaximal, characteristic, complemented
27#21455667C211yesmaximal, characteristic, complemented
28#21455651C211yesmaximal, characteristic, complemented
29#21455611C211yesmaximal, characteristic, complemented
30#21454966C211yesmaximal, characteristic, complemented
31C61×#3262C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840509—21no—
34#16840494C2211yescharacteristic
35#16840491C2211yescharacteristic, complemented
36#16840483C2211yescharacteristic
37#16840479—21no—
38#16840477C2211yescharacteristic, complemented
39#16840473C2211yescharacteristic
40#16840471C2211yescharacteristic, complemented
41#16840464C2211yescharacteristic
42#16840463—21no—
43#16840459C2211yescharacteristic
44#16840459C2211yescharacteristic, complemented
45#16840454C2211yescharacteristic, complemented
46#16840453C2211yescharacteristic, complemented
47#16840449—21no—
48#16840446C2211yescharacteristic
49#16840442—21no—
50#16840437—21no—
51#16840415C2211yescharacteristic
52#16840405—21no—
53#16840405C2211yescharacteristic
54#16840403C2211yescharacteristic
55#16840396C2211yescharacteristic
56#16840390C2211yescharacteristic, complemented
57#16840389C2211yescharacteristic, complemented
58#16840381—21no—
59#16840381C2211yescharacteristic, complemented
60#16840376—21no—
61#16840372—21no—
62#16840363C2211yescharacteristic
63#16840361—21no—
64#16840358—21no—
65#16840348—21no—
66#16840317C2211yescharacteristic, complemented
67#16840299C2211yescharacteristic
68#16840291C2211yescharacteristic, complemented
69#16840290C2211yescharacteristic
70#16840275—21no—
71#123×D61—21no—
72#16840244C2211yescharacteristic
73#16840236C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840168C2211yescharacteristic, complemented
77#16840163C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840158C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840121C2211yescharacteristic, complemented
83#16840118C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840116C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic
87#16840102C2211yescharacteristic, complemented
88#16840102C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840089C2211yescharacteristic
96#16840089C2211yescharacteristic, complemented
97#16840084C2211yescharacteristic, complemented
98#16840083C2211yescharacteristic
99#16840083C2211yescharacteristic, complemented
100#16840079C2211yescharacteristic, complemented
101#16840079C2211yescharacteristic, complemented
102#16840079C2211yescharacteristic, complemented
103#16840078C2211yescharacteristic
104#16840077C2211yescharacteristic, complemented
105#16840071C2211yescharacteristic, complemented
106#16840071C2211yescharacteristic, complemented
107#16840069C2211yescharacteristic, complemented
108#16840067C2211yescharacteristic, complemented
109#16840065C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840065C2211yescharacteristic
112#16840064C2211yescharacteristic, complemented
113#16840064C2211yescharacteristic, complemented
114#16840064C2211yescharacteristic, complemented
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840063C2211yescharacteristic, complemented
118#16840063C2211yescharacteristic, complemented
119#16840062C2211yescharacteristic, complemented
120#16840060C2211yescharacteristic, complemented
121#16840055C2211yescharacteristic, complemented
122#16840053C2211yescharacteristic
123#16840053C2211yescharacteristic, complemented
124#16840052C2211yescharacteristic, complemented
125#16840049C2211yescharacteristic, complemented
126#16840047C2211yescharacteristic, complemented
127#16840043C2211yescharacteristic
128#16840043C2211yescharacteristic, complemented
129#16840041C2211yescharacteristic
130#16840039C2211yescharacteristic
131#16840017C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic
133#16840014C2211yescharacteristic, complemented
134#16840011C2211yescharacteristic
135#16840005C2211yescharacteristic, complemented
136#16840005C2211yescharacteristic, complemented
137#16839995C2211yescharacteristic, complemented
138#16839994C2211yescharacteristic, 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#16839891C2211yescharacteristic, complemented
152#16839886C2211yescharacteristic, complemented
153#16839872C2211yescharacteristic
154#16839871C2211yescharacteristic
155#16839869C2211yescharacteristic, complemented
156#16839860C2211yescharacteristic, complemented
157SD16×Dic61C2211yescharacteristic, complemented
158SD16×Dic61C2211yescharacteristic, complemented
159C4×#11758201C2211yescharacteristic
160#16839847C2211yescharacteristic
161#16839847C2211yescharacteristic
162D8×Dic61C2211yescharacteristic, complemented
163C4×#11758199C2211yescharacteristic, complemented
164#16839842C2211yescharacteristic
165#16839839C2211yescharacteristic, complemented
166#16839838C2211yescharacteristic
167#16839838C2211yescharacteristic, complemented
168#16839833C2211yescharacteristic
169#16839832C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic, complemented
171#16839823C2211yescharacteristic, complemented
172#16839822C2211yescharacteristic, complemented
173#16839814C2211yescharacteristic, complemented
174#16839804C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic, complemented
178#16839800C2211yescharacteristic, complemented
179#107×D61C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839757C2211yescharacteristic
187C2×#14519699C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#542C2211yescharacteristic, complemented
190C61×#477C2211yescharacteristic, complemented
191C61×#477C2211yescharacteristic, complemented
192C61×#474C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic
195C61×#468C2211yescharacteristic, complemented
196C61×#467C2211yescharacteristic, complemented
197C61×#466C2211yescharacteristic
198C61×#464C2211yescharacteristic, complemented
199C61×#464C2211yescharacteristic, complemented
200C61×#463C2211yescharacteristic, complemented
201C61×#463C2211yescharacteristic, complemented
202C61×#424C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C2×D4×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C2×#11758201C2311yescharacteristic
210C2×#11758201C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777—21no—
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776C2311yescharacteristic
222#14519775—21no—
223#14519773C2311yescharacteristic
224#14519772—21no—
225#14519772—21no—
226#14519772—21no—
227#14519772D411yescharacteristic
228#14519771—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770D411yescharacteristic
237#14519769C2311yescharacteristic
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519768—21no—
241#14519768—21no—
242#14519768—21no—
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767D411yescharacteristic
252#14519766C2311yescharacteristic
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763D411yescharacteristic
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762D411yescharacteristic
265#14519761—21no—
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519760—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759D411yescharacteristic
276#14519758—21no—
277#14519758—21no—
278#14519757—21no—
279#14519757—21no—
280#14519756—21no—
281#14519755—21no—
282#14519755D411yescharacteristic
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519753—21no—
289#14519753—21no—
290#14519753—21no—
291#14519753—21no—
292#14519753—21no—
293#14519753C2311yescharacteristic
294#14519753C2311yescharacteristic
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519751—21no—
300#14519751—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519750D411yescharacteristic
305#14519749—21no—
306#14519748—21no—
307#14519748—21no—
308#14519748C2311yescharacteristic
309#14519748C2311yescharacteristic
310#14519748C2311yescharacteristic
311#14519747—21no—
312#14519747—21no—
313#14519747—21no—
314#14519745—21no—
315Q8×Dic61—21no—
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319C4×Dic122—21no—
320C4×Dic122C2311yescharacteristic
321#14519742—21no—
322#14519742—21no—
323C4×D244—21no—
324C4×D244—21no—
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330D4×Dic61—21no—
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334#14519739—21no—
335#14519739—21no—
336#14519739—21no—
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339C4×C22⋊D61—21no—
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519736—21no—
348#14519736C2311yescharacteristic
349#14519736C2311yescharacteristic
350#14519735—21no—
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519734—21no—
355#14519734—21no—
356#14519734—21no—
357#14519734C2311yescharacteristic
358#14519733—21no—
359#14519733—21no—
360C2×C4⋊Dic61C2311yescharacteristic
361C2×#11758196—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
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#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431C4×#92418C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#126×C61—21no—
445#124×C61—21no—
446#124×C61—21no—
447#124×C61C2311yescharacteristic
448#124×C61C2311yescharacteristic
449#123×C61—21no—
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61—21no—
453C22⋊Q8×C61C2311yescharacteristic
454C22⋊Q8×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×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×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
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—
503#11758226—22no—
504#11758226—41no—
505#11758226—82no—
506D4×D61—22no—
507D4×D61—41no—
508D4×D61—82no—
509C2×D244—22no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—41no—
515C2×D244C2×D411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
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—82no—
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122C2×D411yescharacteristic
537Q16×C61—41no—
538SD16×C61—41no—
539SD16×C61—41no—
540D8×C61—41no—
541M16×C61—41no—
542C2×C8×C61—41no—
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61C2×D411yescharacteristic
570C22⋊C4×C61C2×D411yescharacteristic
571C42×C61—21no—
572C42×C61—21no—
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585#11758201—22no—
586#11758201—41no—
587#11758199—22no—
588#11758199—41no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
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#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630#11758196—21no—
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#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758189—41no—
669#11758189—41no—
670#11758189—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61C22×D411yescharacteristic
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—42no—
678C22×D61—42no—
679C22×D61—42no—
680C22×D61—81no—
681C22×D61—81no—
682C22×D61—81no—
683C22×D61C22×D411yescharacteristic
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—81no—
690Q8×C61—81no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—81no—
696D4×C61—81no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
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—81no—
706C2×C4×C61—81no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C2511yescharacteristic
713C22⋊D61—41no—
714C22⋊D61—41no—
715C22⋊D61—42no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737D244—21no—
738D244—21no—
739D244—21no—
740D244—41no—
741D244—42no—
742D244—42no—
743D244—42no—
744D244—81no—
745D2442−1+412yes—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—41no—
751C4×D61—41no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760C4×D61—81no—
761C4×D61—81no—
762Dic122—41no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62175—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61C23×D411yescharacteristic
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—22no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—84no—
798C2×D61—162no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—21no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61C2×2−1+411yescharacteristic
811C4×C61#58511yescharacteristic
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824#3565—611no—
825#3513—611no—
826#3389—611no—
827#3381—611no—
828#3371—611no—
829#3361—611no—
830#3354—611no—
831#3351—611no—
832#3351—611no—
833#3349—611no—
834#3343—611no—
835#3339—611no—
836#3324—611no—
837#3323—611no—
838#3322—611no—
839#3319—611no—
840#3318—611no—
841#3296—611no—
842#3262D6111yescharacteristic, complemented
843#3257—611no—
844#3256—611no—
845#3244—611no—
846#3241—611no—
847#3233—611no—
848#3125—611no—
849#3118—611no—
850#3105—611no—
851#3083—611no—
852#3081—611no—
853#3077—611no—
854#2993—611no—
855C2×C61—41no—
856C2×C61—81no—
857C2×C61—81no—
858C2×C61#348911yescharacteristic
859C2×C61#358411yescharacteristic
860C2×C61#358511yescharacteristic
861D61—41no—
862D61—41no—
863D61—42no—
864D61—81no—
865#563—1221no—
866#562—1221no—
867#559—611no—
868#557—611no—
869#556—611no—
870#556—1221no—
871#555—611no—
872#554—611no—
873#554—611no—
874#553—611no—
875#553—611no—
876#553—611no—
877#553—1221no—
878#552—611no—
879#552—611no—
880#552—611no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#547—611no—
885#546—611no—
886#546—611no—
887#546—1221no—
888D42—611no—
889#544—611no—
890#544—611no—
891#542—611no—
892#542—1221no—
893#542—1221no—
894#542C2×D6111yescharacteristic
895#542C2×D6111yescharacteristic, complemented
896#541—1221no—
897#540—611no—
898#539—1221no—
899#539—1221no—
900#538—1221no—
901#533—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#525—1221no—
906C2×#123—1221no—
907#520—611no—
908#518—611no—
909C2×C4×D4—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#498—611no—
916#490—611no—
917#489—611no—
918#488—611no—
919#488—611no—
920#488—611no—
921#486—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485—611no—
926#484—611no—
927#483—611no—
928#483—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#481—611no—
936#481—611no—
937#481—611no—
938#481—611no—
939#480—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#477—611no—
957#477C2×D6111yescharacteristic, complemented
958#477C2×D6111yescharacteristic, complemented
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474C2×D6111yescharacteristic, complemented
969#474C2×D6111yescharacteristic, complemented
970#470—611no—
971#469—611no—
972#469—611no—
973#468—611no—
974#468—611no—
975#468—611no—
976#468C2×D6111yescharacteristic
977#468C2×D6111yescharacteristic, complemented
978#467C2×D6111yescharacteristic, complemented
979#466—611no—
980#466C2×D6111yescharacteristic
981#465—611no—
982#464—611no—
983#464C2×D6111yescharacteristic, complemented
984#464C2×D6111yescharacteristic, complemented
985#463—611no—
986#463—611no—
987#463—611no—
988#463C2×D6111yescharacteristic, complemented
989#463C2×D6111yescharacteristic, complemented
990#460—611no—
991#459—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#449—611no—
996#447—611no—
997#447—611no—
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#440—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8—611no—
1012#436—611no—
1013#436—611no—
1014#436—611no—
1015#435—611no—
1016#435—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#431—611no—
1021#428—611no—
1022#428—611no—
1023#428—611no—
1024#428—611no—
1025#427—611no—
1026C2×#107—611no—
1027#424—611no—
1028#424C2×D6111yescharacteristic, complemented
1029#423—611no—
1030#418—611no—
1031#418—611no—
1032#418—611no—
1033#417—611no—
1034#416—611no—
1035C2×#102—611no—
1036C61#6217511yescharacteristic, complemented, Sylow
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×D4—611no—
1040C22×D4—611no—
1041C22×D4—1221no—
1042C23×C4—1221no—
1043C2×Q16C22×D6111yescharacteristic
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16C22×D6111yescharacteristic
1047C2×SD16C22×D6111yescharacteristic
1048C2×D8—611no—
1049C2×D8—611no—
1050C2×D8C22×D6111yescharacteristic
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16—611no—
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8C22×D6111yescharacteristic
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8C22×D6111yescharacteristic
1064C4⋊Q8C22×D6111yescharacteristic
1065#127—611no—
1066#126—21no—
1067#126—21no—
1068#126—611no—
1069#126—611no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#124—21no—
1097#124—21no—
1098#124—611no—
1099#124—611no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124C22×D6111yescharacteristic
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—611no—
1110#123—611no—
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—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8C22×D6111yescharacteristic
1149C22⋊Q8C22×D6111yescharacteristic
1150#121—611no—
1151#121—611no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121C22×D6111yescharacteristic
1166#121C22×D6111yescharacteristic
1167#120—1221no—
1168#120—1221no—
1169#120—1221no—
1170#120—1221no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8C22×D6111yescharacteristic
1180C4×Q8C22×D6111yescharacteristic
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
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—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C22⋊C4—1221no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C42—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#107C22×D6111yescharacteristic
1245#107C22×D6111yescharacteristic
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266C4⋊C8C22×D6111yescharacteristic
1267C4⋊C8C22×D6111yescharacteristic
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
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#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8—611no—
1305C22⋊C8—611no—
1306#97—611no—
1307#97—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8—611no—
1312C24—1221no—
1313C24—1221no—
1314#41—1222no—
1315#41—4882no—
1316#41—2441no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8C23×D6111yescharacteristic
1324C2×Q8C23×D6111yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—611no—
1328C2×D4—611no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—1222no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—4882no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4C23×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—4882no—
1370C22×C4C23×D6111yescharacteristic
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—1222no—
1375SD16—2441no—
1376D8—41no—
1377D8—1222no—
1378D8—2441no—
1379M16—41no—
1380M16—2441no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—41no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—2441no—
1389C2×C8C23×D6111yescharacteristic
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1489C22⋊C4D4×D6111yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42C23×D6111yescharacteristic
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—611no—
1509C23—611no—
1510C23—1221no—
1511C23—1221no—
1512C23—4881no—
1513C23—4881no—
1514C23—4881no—
1515C23—2442no—
1516C23—2442no—
1517C23—2442no—
1518C23C2×D4×D6111yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—81no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—2441no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—81no—
1535D4—612no—
1536D4—1221no—
1537D4—1221no—
1538D4—1221no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—2441no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2441no—
1550D4—2441no—
1551D4—2442no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—4881no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—2441no—
1591C2×C4—2441no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C24×D6111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—1221no—
1618C22—1221no—
1619C22—1222no—
1620C22—1221no—
1621C22—1221no—
1622C22—1221no—
1623C22—1221no—
1624C22—9762no—
1625C22—4884no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—1221no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C42−1+4×D6111yescharacteristic
1656C4#1684059711yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—4881no—
1661C2—2441no—
1662C2—2441no—
1663C2—2442no—
1664C2#2145949411yescharacteristic
1665C2#2146058911yescharacteristic
1666C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3262C2
socleC22×C61C23×D4
hypercenter#3262D61
hypocenterC61#62175
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #21460466C2semidirect
2. #21459765C2semidirect
3. #21458772C2semidirect
4. #21458693C2semidirect
5. #21458584C2semidirect
6. #21458474C2semidirect
7. #21458417C2semidirect
8. #21458385C2semidirect
9. #21458374C2semidirect
10. #21458355C2semidirect
11. #21458256C2semidirect
12. #21458216C2semidirect
13. #21458045C2semidirect
14. #21458042C2semidirect
15. #21458026C2semidirect
16. #21457982C2semidirect
17. #21457966C2semidirect
18. #21457660C2semidirect
19. #21457227C2semidirect
20. #21457218C2semidirect
21. #21457111C2semidirect
22. #21457079C2semidirect
23. #21457003C2semidirect
24. #21456095C2semidirect
25. #21455997C2semidirect
26. #21455865C2semidirect
27. #21455667C2semidirect
28. #21455651C2semidirect
29. #21455611C2semidirect
30. #21454966C2semidirect
31. C61×#3262C2semidirect
35. #16840491C22semidirect
38. #16840477C22semidirect
40. #16840471C22semidirect
44. #16840459C22semidirect
45. #16840454C22semidirect
46. #16840453C22semidirect
56. #16840390C22semidirect
57. #16840389C22semidirect
59. #16840381C22semidirect
66. #16840317C22semidirect
68. #16840291C22semidirect
75. #16840170C22semidirect
76. #16840168C22semidirect
77. #16840163C22semidirect
78. #16840163C22semidirect
79. #16840163C22semidirect
80. #16840158C22semidirect
82. #16840121C22semidirect
83. #16840118C22semidirect
84. #16840118C22semidirect
85. #16840116C22semidirect
87. #16840102C22semidirect
88. #16840102C22semidirect
89. #16840100C22semidirect
90. #16840100C22semidirect
91. #16840096C22semidirect
92. #16840091C22semidirect
93. #16840090C22semidirect
96. #16840089C22semidirect
97. #16840084C22semidirect
99. #16840083C22semidirect
100. #16840079C22semidirect
101. #16840079C22semidirect
102. #16840079C22semidirect
104. #16840077C22semidirect
105. #16840071C22semidirect
106. #16840071C22semidirect
107. #16840069C22semidirect
108. #16840067C22semidirect
112. #16840064C22semidirect
113. #16840064C22semidirect
114. #16840064C22semidirect
117. #16840063C22semidirect
118. #16840063C22semidirect
119. #16840062C22semidirect
120. #16840060C22semidirect
121. #16840055C22semidirect
123. #16840053C22semidirect
124. #16840052C22semidirect
125. #16840049C22semidirect
126. #16840047C22semidirect
128. #16840043C22semidirect
131. #16840017C22semidirect
133. #16840014C22semidirect
135. #16840005C22semidirect
136. #16840005C22semidirect
137. #16839995C22semidirect
138. #16839994C22semidirect
139. #16839986C22semidirect
140. #16839979C22semidirect
142. #16839974C22semidirect
151. #16839891C22semidirect
152. #16839886C22semidirect
155. #16839869C22semidirect
156. #16839860C22semidirect
157. SD16×Dic61C22semidirect
158. SD16×Dic61C22semidirect
162. D8×Dic61C22semidirect
163. C4×#11758199C22semidirect
165. #16839839C22semidirect
167. #16839838C22semidirect
169. #16839832C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839823C22semidirect
172. #16839822C22semidirect
173. #16839814C22semidirect
174. #16839804C22semidirect
175. #16839803C22semidirect
176. #16839803C22semidirect
177. #16839803C22semidirect
178. #16839800C22semidirect
179. #107×D61C22semidirect
180. #16839787C22semidirect
181. #16839784C22semidirect
189. C61×#542C22semidirect
190. C61×#477C22semidirect
191. C61×#477C22semidirect
192. C61×#474C22semidirect
193. C61×#474C22semidirect
195. C61×#468C22semidirect
196. C61×#467C22semidirect
198. C61×#464C22semidirect
199. C61×#464C22semidirect
200. C61×#463C22semidirect
201. C61×#463C22semidirect
202. C61×#424C22semidirect
842. #3262D61semidirect
895. #542C2×D61semidirect
957. #477C2×D61semidirect
958. #477C2×D61semidirect
968. #474C2×D61semidirect
969. #474C2×D61semidirect
977. #468C2×D61semidirect
978. #467C2×D61semidirect
983. #464C2×D61semidirect
984. #464C2×D61semidirect
988. #463C2×D61semidirect
989. #463C2×D61semidirect
1028. #424C2×D61semidirect
1036. C61#62175semidirect

Maximal subgroups

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

subgroupindex
#214604662
#214597652
#214587722
#214586932
#214585842
#214584742
#214584172
#214583852
#214583742
#214583552
#214582562
#214582162
#214580452
#214580422
#214580262
#214579822
#214579662
#214576602
#214572272
#214572182
#214571112
#214570792
#214570032
#214560952
#214559972
#214558652
#214556672
#214556512
#214556112
#214549662
C61×#32622
#6217561