Finite Group Databasebeta

← #30576055

Subgroups — #30576055

Order 15616.

1780 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#21459834C211yesmaximal, characteristic, complemented
2#21459425C211yesmaximal, characteristic, complemented
3#21458732C211yesmaximal, characteristic, complemented
4#21458721C211yesmaximal, characteristic, complemented
5#21458628C211yesmaximal, characteristic, complemented
6#21458606C211yesmaximal, characteristic, complemented
7#21458440C211yesmaximal, characteristic, complemented
8#21458429C211yesmaximal, characteristic, complemented
9#21458361C211yesmaximal, characteristic, complemented
10#21458359C211yesmaximal, characteristic, complemented
11#21458316C211yesmaximal, characteristic, complemented
12#21458314C211yesmaximal, characteristic, complemented
13#21458056C211yesmaximal, characteristic, complemented
14#21458045C211yesmaximal, characteristic, complemented
15#21457982C211yesmaximal, characteristic, complemented
16#21457970C211yesmaximal, characteristic, complemented
17#21457862C211yesmaximal, characteristic, complemented
18#21457850C211yesmaximal, characteristic, complemented
19#21457218C211yesmaximal, characteristic, complemented
20#21457142C211yesmaximal, characteristic, complemented
21#21457064C211yesmaximal, characteristic, complemented
22#21457055C211yesmaximal, characteristic, complemented
23#21456954C211yesmaximal, characteristic, complemented
24#21455956C211yesmaximal, characteristic, complemented
25#21455953C211yesmaximal, characteristic, complemented
26#21455836C211yesmaximal, characteristic, complemented
27#21455618C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455606C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3256C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic, complemented
34#16840485C2211yescharacteristic, complemented
35#16840483C2211yescharacteristic
36#16840483C2211yescharacteristic, complemented
37#16840482—21no—
38#16840479—21no—
39#16840479—21no—
40#16840477C2211yescharacteristic, complemented
41#16840476C2211yescharacteristic
42#16840476C2211yescharacteristic, complemented
43#16840470C2211yescharacteristic
44#16840468C2211yescharacteristic
45#16840465C2211yescharacteristic
46#16840464C2211yescharacteristic
47#16840463—21no—
48#16840437—21no—
49#16840435—21no—
50D4×Dic122C2211yescharacteristic, complemented
51#16840421—21no—
52#16840405C2211yescharacteristic
53#16840404—21no—
54#16840403C2211yescharacteristic
55#16840396C2211yescharacteristic
56#16840383—21no—
57#16840380—21no—
58#16840380—21no—
59#16840319C2211yescharacteristic, complemented
60#16840318C2211yescharacteristic, complemented
61#16840318C2211yescharacteristic, complemented
62#16840309C2211yescharacteristic
63#16840299C2211yescharacteristic
64#16840291C2211yescharacteristic, complemented
65#16840291C2211yescharacteristic, complemented
66#16840290—21no—
67#16840274—21no—
68#16840271—21no—
69#16840239—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C2×C4×D244C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840172C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840121C2211yescharacteristic, complemented
84#16840121C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840102C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840100C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840089C2211yescharacteristic, complemented
96#16840088C2211yescharacteristic
97#16840088C2211yescharacteristic, complemented
98#16840085C2211yescharacteristic, complemented
99#16840084C2211yescharacteristic, complemented
100#16840084C2211yescharacteristic, complemented
101#16840083C2211yescharacteristic
102#16840083C2211yescharacteristic
103#16840074C2211yescharacteristic, complemented
104#16840073C2211yescharacteristic, complemented
105#16840071C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840069C2211yescharacteristic, complemented
108#16840064C2211yescharacteristic, complemented
109#16840063C2211yescharacteristic
110#16840063C2211yescharacteristic
111#16840063C2211yescharacteristic, complemented
112#16840063C2211yescharacteristic, complemented
113#16840062C2211yescharacteristic, complemented
114#16840062C2211yescharacteristic, complemented
115#16840059C2211yescharacteristic
116#16840059C2211yescharacteristic, complemented
117#16840055C2211yescharacteristic, complemented
118#16840055C2211yescharacteristic, complemented
119#16840053C2211yescharacteristic
120#16840053C2211yescharacteristic, complemented
121#16840051C2211yescharacteristic
122#16840051C2211yescharacteristic
123#16840050C2211yescharacteristic, complemented
124#16840050C2211yescharacteristic, complemented
125#16840045C2211yescharacteristic, complemented
126#16840043C2211yescharacteristic
127#16840043C2211yescharacteristic, complemented
128#16840041C2211yescharacteristic
129#16840041C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840017C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic
133#16840011C2211yescharacteristic
134#16840005C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic, complemented
136#16839995C2211yescharacteristic, complemented
137#16839994C2211yescharacteristic, complemented
138#16839988C2211yescharacteristic, 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#16839891C2211yescharacteristic, complemented
153#16839874C2211yescharacteristic, complemented
154#16839872C2211yescharacteristic
155#16839872C2211yescharacteristic, complemented
156#16839871C2211yescharacteristic
157#16839865C2211yescharacteristic
158#16839863C2211yescharacteristic, complemented
159#16839860C2211yescharacteristic
160#16839860C2211yescharacteristic, complemented
161Q16×Dic61C2211yescharacteristic, complemented
162SD16×Dic61C2211yescharacteristic, complemented
163#16839847C2211yescharacteristic
164#16839842C2211yescharacteristic
165#16839838C2211yescharacteristic
166#16839838C2211yescharacteristic
167#16839832C2211yescharacteristic, complemented
168#16839832C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic, complemented
170#16839831C2211yescharacteristic, complemented
171#16839819C2211yescharacteristic, complemented
172#16839818C2211yescharacteristic, complemented
173#16839814C2211yescharacteristic, complemented
174#16839804C2211yescharacteristic, complemented
175#16839804C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178#16839799C2211yescharacteristic, complemented
179#16839797C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839768C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C61×#529C2211yescharacteristic, complemented
190C61×#479C2211yescharacteristic, complemented
191C61×#479C2211yescharacteristic, complemented
192C61×#478C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#469C2211yescharacteristic
196C61×#468C2211yescharacteristic
197C61×#468C2211yescharacteristic, complemented
198C61×#464C2211yescharacteristic, complemented
199C61×#464C2211yescharacteristic, complemented
200C61×#463C2211yescharacteristic, complemented
201C61×#463C2211yescharacteristic, complemented
202C61×#423C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222D411yescharacteristic
206C22×Dic122—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×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777—21no—
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519769C2311yescharacteristic
243#14519769C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519766C2311yescharacteristic
247#14519765—21no—
248#14519764—21no—
249#14519764—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519761—21no—
262#14519761—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519757—21no—
268#14519757—21no—
269#14519756—21no—
270#14519756—21no—
271#14519756—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519753C2311yescharacteristic
282#14519753C2311yescharacteristic
283#14519753C2311yescharacteristic
284#14519752—21no—
285#14519752—21no—
286#14519752C2311yescharacteristic
287#14519752C2311yescharacteristic
288#14519751—21no—
289#14519750—21no—
290#14519750—21no—
291#14519750—21no—
292#14519749—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×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122D411yescharacteristic
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317C4×D244—21no—
318C4×D244—21no—
319C4×D244—21no—
320C4×D244—21no—
321C4×D244D411yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327D4×Dic61—21no—
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739—21no—
332#14519739—21no—
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61D411yescharacteristic
338C4×C22⋊D61D411yescharacteristic
339C4×C22⋊D61C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519736—21no—
347#14519736D411yescharacteristic
348#14519736C2311yescharacteristic
349#14519736C2311yescharacteristic
350#14519735—21no—
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519734—21no—
357#14519734D411yescharacteristic
358#14519734D411yescharacteristic
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C4⋊C4×D61—21no—
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#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C2×M16×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—
503#11758226—22no—
504#11758226—41no—
505D4×D61—22no—
506D4×D61—41no—
507D4×D61—44no—
508#11758222—42no—
509#11758222—82no—
510C2×D244—22no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—41no—
516C2×D244C2×D411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×D244C2411yescharacteristic
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—82no—
528C2×C4×D61—82no—
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—44no—
543C2×Dic122C2×D411yescharacteristic
544Q16×C61—41no—
545SD16×C61—41no—
546SD16×C61—41no—
547D8×C61—41no—
548M16×C61—41no—
549M16×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⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758201—22no—
593#11758201—41no—
594#11758199—22no—
595#11758199—41no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651C4×Dic61—21no—
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×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—
673C8×D61—41no—
674C8×D61—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—81no—
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—21no—
706C2×C4×C61—41no—
707C2×C4×C61—41no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
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—41no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—81no—
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×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740D244—21no—
741D244—21no—
742D244—21no—
743D244—41no—
744D244—42no—
745D244—42no—
746D244—42no—
747D244—81no—
748D2442−1+412yes—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—22no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—41no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765Dic122—22no—
766Dic122—42no—
767Dic122—42no—
768Dic122—42no—
769Dic122—81no—
770Dic122—81no—
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#62122—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
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—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61#57512yes—
831#3518—611no—
832#3481—611no—
833#3385—611no—
834#3384—611no—
835#3375—611no—
836#3373—611no—
837#3357—611no—
838#3356—611no—
839#3350—611no—
840#3350—611no—
841#3347—611no—
842#3347—611no—
843#3325—611no—
844#3324—611no—
845#3319—611no—
846#3319—611no—
847#3311—611no—
848#3311—611no—
849#3256—611no—
850#3256D6111yescharacteristic, complemented
851#3247—611no—
852#3240—611no—
853#3240—611no—
854#3228—611no—
855#3114—611no—
856#3114—611no—
857#3102—611no—
858#3077—611no—
859#3077—611no—
860#3076—611no—
861#2989—611no—
862C2×C61—41no—
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—
873Q82—611no—
874#556—611no—
875#556—611no—
876#556—611no—
877#556—1221no—
878#556—1221no—
879#556—1221no—
880#555—611no—
881#555—611no—
882#555—611no—
883#554—611no—
884#554—611no—
885#553—611no—
886#553—611no—
887#553—1221no—
888#551—1221no—
889#551—1221no—
890D4×Q8—611no—
891#548—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#542—1221no—
897#542—1221no—
898#542—1221no—
899#533—611no—
900#533—611no—
901#533—611no—
902#532—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907#529C2×D6111yescharacteristic
908#529C2×D6111yescharacteristic, complemented
909#525—1221no—
910#525—1221no—
911#519—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#500—611no—
922#498—611no—
923#489—611no—
924#489—611no—
925#489—611no—
926#489—611no—
927#486—611no—
928#486—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482—611no—
942#482—611no—
943#482—611no—
944#482—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479C2×D6111yescharacteristic, complemented
951#479C2×D6111yescharacteristic, complemented
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478C2×D6111yescharacteristic, complemented
962#478C2×D6111yescharacteristic, complemented
963#477—611no—
964#477—611no—
965#476—611no—
966#476—611no—
967#476—611no—
968#476—611no—
969#476—611no—
970#476—611no—
971#475—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#470C2×D6111yescharacteristic, complemented
979#469—611no—
980#469C2×D6111yescharacteristic
981#468—611no—
982#468—611no—
983#468C2×D6111yescharacteristic
984#468C2×D6111yescharacteristic, complemented
985#466—611no—
986#466—611no—
987#465—611no—
988#465—611no—
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#442—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×Q16—611no—
1016C4×SD16—611no—
1017C4×SD16—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—
1032#427—611no—
1033#427—611no—
1034#423—611no—
1035#423C2×D6111yescharacteristic, complemented
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#418—611no—
1040#418—611no—
1041#416—611no—
1042#416—611no—
1043C61#6212211yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C22×Q8—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×M16C22×D6111yescharacteristic
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
1072C4⋊Q8—611no—
1073C4⋊Q8—611no—
1074C4⋊Q8—1221no—
1075C4⋊Q8—1221no—
1076C4⋊Q8—1221no—
1077#127—611no—
1078#126—21no—
1079#126—21no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#125—611no—
1092#125—611no—
1093#125—611no—
1094#125—1221no—
1095#125C22×D6111yescharacteristic
1096#125C22×D6111yescharacteristic
1097#124—611no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#124C22×D6111yescharacteristic
1110#124C22×D6111yescharacteristic
1111#123—21no—
1112#123—21no—
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—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
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⋊Q8C22×D6111yescharacteristic
1140C22⋊Q8C22×D6111yescharacteristic
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—1221no—
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×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8—1221no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8C22×D6111yescharacteristic
1177C4×Q8C22×D6111yescharacteristic
1178C4×D4—21no—
1179C4×D4—21no—
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—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
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×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4C22×D6111yescharacteristic
1210C4×D4C22×D6111yescharacteristic
1211#117—21no—
1212#117—21no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—611no—
1219#117—611no—
1220#117—611no—
1221#117—611no—
1222#117—611no—
1223#117—1221no—
1224#117—1221no—
1225#117—1221no—
1226#117—1221no—
1227#117—1221no—
1228#117—1221no—
1229#117—1221no—
1230C2×C4⋊C4—611no—
1231C2×C4⋊C4—611no—
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—
1325C2×Q8—611no—
1326C2×Q8—1221no—
1327C2×Q8—1221no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—2444no—
1334C2×Q8C23×D6111yescharacteristic
1335C2×Q8C23×D6111yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—1222no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1222no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2444no—
1358C2×D4C23×D6111yescharacteristic
1359C2×D4C23×D6111yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
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—41no—
1394M16—41no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
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⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
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⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C42—21no—
1495C42—21no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
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—1222no—
1534Q8—4881no—
1535Q8—4881no—
1536Q8—4881no—
1537Q8—4881no—
1538Q8—2442no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—42no—
1546D4—81no—
1547D4—612no—
1548D4—1222no—
1549D4—1221no—
1550D4—1221no—
1551D4—1221no—
1552D4—4881no—
1553D4—4881no—
1554D4—4881no—
1555D4—4881no—
1556D4—4881no—
1557D4—2441no—
1558D4—2442no—
1559D4—2442no—
1560D4—2442no—
1561D4—2442no—
1562D4—2441no—
1563D4—2442no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—42no—
1575C2×C4—42no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2441no—
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—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—1221no—
1632C22—1221no—
1633C22—1222no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—4884no—
1639C22—4884no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
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—612no—
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—41no—
1672C2—81no—
1673C2—81no—
1674C2—4881no—
1675C2—2441no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949411yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3256C2
socleC22×C61C23×D4
hypercenter#3256D61
hypocenterC61#62122
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3256

Complements

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

NH ≅ G/Ntype
1. #21459834C2semidirect
2. #21459425C2semidirect
3. #21458732C2semidirect
4. #21458721C2semidirect
5. #21458628C2semidirect
6. #21458606C2semidirect
7. #21458440C2semidirect
8. #21458429C2semidirect
9. #21458361C2semidirect
10. #21458359C2semidirect
11. #21458316C2semidirect
12. #21458314C2semidirect
13. #21458056C2semidirect
14. #21458045C2semidirect
15. #21457982C2semidirect
16. #21457970C2semidirect
17. #21457862C2semidirect
18. #21457850C2semidirect
19. #21457218C2semidirect
20. #21457142C2semidirect
21. #21457064C2semidirect
22. #21457055C2semidirect
23. #21456954C2semidirect
24. #21455956C2semidirect
25. #21455953C2semidirect
26. #21455836C2semidirect
27. #21455618C2semidirect
28. #21455614C2semidirect
29. #21455606C2semidirect
30. #21454933C2semidirect
31. C61×#3256C2semidirect
33. Q8×Dic122C22semidirect
34. #16840485C22semidirect
36. #16840483C22semidirect
40. #16840477C22semidirect
42. #16840476C22semidirect
50. D4×Dic122C22semidirect
59. #16840319C22semidirect
60. #16840318C22semidirect
61. #16840318C22semidirect
64. #16840291C22semidirect
65. #16840291C22semidirect
75. #16840172C22semidirect
76. #16840172C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840166C22semidirect
80. #16840159C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840121C22semidirect
84. #16840121C22semidirect
87. #16840102C22semidirect
88. #16840101C22semidirect
89. #16840101C22semidirect
90. #16840100C22semidirect
91. #16840100C22semidirect
92. #16840091C22semidirect
93. #16840090C22semidirect
95. #16840089C22semidirect
97. #16840088C22semidirect
98. #16840085C22semidirect
99. #16840084C22semidirect
100. #16840084C22semidirect
103. #16840074C22semidirect
104. #16840073C22semidirect
105. #16840071C22semidirect
106. #16840069C22semidirect
107. #16840069C22semidirect
108. #16840064C22semidirect
111. #16840063C22semidirect
112. #16840063C22semidirect
113. #16840062C22semidirect
114. #16840062C22semidirect
116. #16840059C22semidirect
117. #16840055C22semidirect
118. #16840055C22semidirect
120. #16840053C22semidirect
123. #16840050C22semidirect
124. #16840050C22semidirect
125. #16840045C22semidirect
127. #16840043C22semidirect
130. #16840040C22semidirect
131. #16840017C22semidirect
134. #16840005C22semidirect
135. #16839997C22semidirect
136. #16839995C22semidirect
137. #16839994C22semidirect
138. #16839988C22semidirect
139. #16839986C22semidirect
140. #16839979C22semidirect
142. #16839974C22semidirect
151. #16839891C22semidirect
152. #16839891C22semidirect
153. #16839874C22semidirect
155. #16839872C22semidirect
158. #16839863C22semidirect
160. #16839860C22semidirect
161. Q16×Dic61C22semidirect
162. SD16×Dic61C22semidirect
167. #16839832C22semidirect
168. #16839832C22semidirect
169. #16839831C22semidirect
170. #16839831C22semidirect
171. #16839819C22semidirect
172. #16839818C22semidirect
173. #16839814C22semidirect
174. #16839804C22semidirect
175. #16839804C22semidirect
176. #16839803C22semidirect
177. #16839801C22semidirect
178. #16839799C22semidirect
179. #16839797C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
189. C61×#529C22semidirect
190. C61×#479C22semidirect
191. C61×#479C22semidirect
192. C61×#478C22semidirect
193. C61×#478C22semidirect
194. C61×#470C22semidirect
197. C61×#468C22semidirect
198. C61×#464C22semidirect
199. C61×#464C22semidirect
200. C61×#463C22semidirect
201. C61×#463C22semidirect
202. C61×#423C22semidirect
850. #3256D61semidirect
908. #529C2×D61semidirect
950. #479C2×D61semidirect
951. #479C2×D61semidirect
961. #478C2×D61semidirect
962. #478C2×D61semidirect
978. #470C2×D61semidirect
984. #468C2×D61semidirect
990. #464C2×D61semidirect
991. #464C2×D61semidirect
995. #463C2×D61semidirect
996. #463C2×D61semidirect
1035. #423C2×D61semidirect
1043. C61#62122semidirect

Maximal subgroups

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

subgroupindex
#214598342
#214594252
#214587322
#214587212
#214586282
#214586062
#214584402
#214584292
#214583612
#214583592
#214583162
#214583142
#214580562
#214580452
#214579822
#214579702
#214578622
#214578502
#214572182
#214571422
#214570642
#214570552
#214569542
#214559562
#214559532
#214558362
#214556182
#214556142
#214556062
#214549332
C61×#32562
#6212261