Finite Group Databasebeta

← #30575921

Subgroups — #30575921

Order 15616.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic, complemented
2#21459409C211yesmaximal, characteristic, complemented
3#21458762C211yesmaximal, characteristic, complemented
4#21458760C211yesmaximal, characteristic, complemented
5#21458578C211yesmaximal, characteristic, complemented
6#21458576C211yesmaximal, characteristic, complemented
7#21458424C211yesmaximal, characteristic, complemented
8#21458419C211yesmaximal, characteristic, complemented
9#21458367C211yesmaximal, characteristic, complemented
10#21458359C211yesmaximal, characteristic, complemented
11#21458314C211yesmaximal, characteristic, complemented
12#21458312C211yesmaximal, characteristic, complemented
13#21458072C211yesmaximal, characteristic, complemented
14#21458006C211yesmaximal, characteristic, complemented
15#21457998C211yesmaximal, characteristic, complemented
16#21457826C211yesmaximal, characteristic, complemented
17#21457818C211yesmaximal, characteristic, complemented
18#21457196C211yesmaximal, characteristic, complemented
19#21457176C211yesmaximal, characteristic, complemented
20#21457142C211yesmaximal, characteristic, complemented
21#21457043C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21455963C211yesmaximal, characteristic, complemented
25#21455936C211yesmaximal, characteristic, complemented
26#21455877C211yesmaximal, characteristic, complemented
27#21455630C211yesmaximal, characteristic, complemented
28#21455621C211yesmaximal, characteristic, complemented
29#21455606C211yesmaximal, characteristic, complemented
30#21454934C211yesmaximal, characteristic, complemented
31C61×#3326C211yesmaximal, characteristic, complemented
32#16840494—21no—
33#16840494C2211yescharacteristic
34#16840488C2211yescharacteristic
35#16840483—21no—
36#16840483C2211yescharacteristic
37#16840479—21no—
38#16840476C2211yescharacteristic
39#16840475C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840468C2211yescharacteristic
42#16840464—21no—
43#16840464C2211yescharacteristic
44#16840464C2211yescharacteristic
45#16840460C2211yescharacteristic
46#16840458—21no—
47#16840458C2211yescharacteristic
48#16840458C2211yescharacteristic
49#16840431C2211yescharacteristic
50#16840423C2211yescharacteristic
51#16840421—21no—
52#16840418—21no—
53#16840410—21no—
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic
58#16840315C2211yescharacteristic
59#16840309C2211yescharacteristic
60#16840307—21no—
61#16840307C2211yescharacteristic
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64C2×#14519776C2211yescharacteristic
65#16840298—21no—
66#16840298C2211yescharacteristic
67#16840291—21no—
68#16840291C2211yescharacteristic
69#16840241—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×#11758224—21no—
73C4×#11758224C2211yescharacteristic
74C2×Q8×Dic61C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840164C2211yescharacteristic
80#16840161C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840123C2211yescharacteristic
84#16840123C2211yescharacteristic
85#16840116C2211yescharacteristic
86#16840102C2211yescharacteristic
87#16840101C2211yescharacteristic
88#16840090C2211yescharacteristic
89#16840088C2211yescharacteristic
90#16840087C2211yescharacteristic
91#16840087C2211yescharacteristic
92#16840086C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840083C2211yescharacteristic
97#16840083C2211yescharacteristic
98#16840076C2211yescharacteristic
99#16840076C2211yescharacteristic
100#16840075C2211yescharacteristic
101#16840073C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840069C2211yescharacteristic
105#16840067C2211yescharacteristic
106#16840067C2211yescharacteristic
107#16840065C2211yescharacteristic
108#16840064C2211yescharacteristic
109#16840063C2211yescharacteristic
110#16840063C2211yescharacteristic
111#16840062C2211yescharacteristic
112#16840059C2211yescharacteristic
113#16840055C2211yescharacteristic
114#16840055C2211yescharacteristic
115#16840055C2211yescharacteristic
116#16840055C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840050C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840045C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840041C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840015C2211yescharacteristic
132#16840015C2211yescharacteristic
133#16840013C2211yescharacteristic
134#16840013C2211yescharacteristic
135#16840013C2211yescharacteristic
136#16840010C2211yescharacteristic
137#16839997C2211yescharacteristic
138#16839995C2211yescharacteristic
139#16839994C2211yescharacteristic
140#16839988C2211yescharacteristic
141#16839980C2211yescharacteristic
142#16839979C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839960C2211yescharacteristic
145#16839960C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839910C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839906C2211yescharacteristic
153#16839901C2211yescharacteristic
154#16839892C2211yescharacteristic
155#16839889C2211yescharacteristic
156#16839874C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839865C2211yescharacteristic
159#16839865C2211yescharacteristic
160#16839865C2211yescharacteristic
161#16839863C2211yescharacteristic
162#16839863C2211yescharacteristic
163#16839863C2211yescharacteristic
164C4×#11758201C2211yescharacteristic
165C4×D488C2211yescharacteristic
166C4×#11758199C2211yescharacteristic
167#16839840C2211yescharacteristic
168#16839836C2211yescharacteristic
169#16839836C2211yescharacteristic
170#16839831C2211yescharacteristic
171#16839831C2211yescharacteristic
172#16839816C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839813C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839804C2211yescharacteristic
177#16839804C2211yescharacteristic
178#16839802C2211yescharacteristic
179#16839799C2211yescharacteristic
180#16839797C2211yescharacteristic
181#16839785C2211yescharacteristic
182#16839785C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic
184#16839771C2211yescharacteristic
185#16839763C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#548C2211yescharacteristic
190C61×#488C2211yescharacteristic
191C61×#483C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic
200C61×#436C2211yescharacteristic
201C61×#419C2211yescharacteristic
202C61×#417C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224D411yescharacteristic
209C22×Dic122—21no—
210C2×#11758201C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519773—21no—
229#14519773C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519769—21no—
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519766—21no—
248#14519766C2311yescharacteristic
249#14519765—21no—
250#14519764—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519762—21no—
260#14519761—21no—
261#14519761—21no—
262#14519761—21no—
263#14519761—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519757—21no—
269#14519756—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519754—21no—
275#14519754—21no—
276#14519754—21no—
277#14519754—21no—
278#14519753—21no—
279#14519753C2311yescharacteristic
280#14519752C2311yescharacteristic
281#14519751—21no—
282#14519751—21no—
283#14519751—21no—
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519751C2311yescharacteristic
287#14519751C2311yescharacteristic
288#14519750—21no—
289#14519750—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301Q8×Dic61—21no—
302Q8×Dic61—21no—
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742D411yescharacteristic
316C4×D244—21no—
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61D411yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328#14519739—21no—
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737D411yescharacteristic
347#14519737D411yescharacteristic
348#14519736—21no—
349#14519736C2311yescharacteristic
350#14519736C2311yescharacteristic
351#14519735—21no—
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C22×Q8×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442#126×C61—21no—
443#125×C61C2311yescharacteristic
444#124×C61—21no—
445#124×C61C2311yescharacteristic
446#123×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449#121×C61—21no—
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61—21no—
481C2×Q8×C61—22no—
482C2×Q8×C61—41no—
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61C2×D411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61C2×D411yescharacteristic
509C2×C22⋊D61C2×D411yescharacteristic
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519C22×Dic61C2×D411yescharacteristic
520#11758226—22no—
521#11758226—41no—
522#11758224—42no—
523#11758224—44no—
524#11758224—44no—
525#11758224—82no—
526#11758222—82no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—82no—
547C2×Dic122C2×D411yescharacteristic
548SD16×C61—22no—
549SD16×C61—41no—
550D8×C61—41no—
551M16×C61—41no—
552M16×C61—41no—
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
576C22⋊C4×C61C2×D411yescharacteristic
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
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—41no—
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
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⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629#11758196—21no—
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#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667#11758194—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672D488—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C61—42no—
686Q8×C612−1+412yes—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—41no—
692D4×C61—42no—
693D4×C61—42no—
694D4×C61—42no—
695D4×C61—81no—
696C2×C4×C61—21no—
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—21no—
706C2×C4×C61—42no—
707C2×C4×C61—42no—
708C2×C4×C61—81no—
709C2×C4×C61—81no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C2511yescharacteristic
715C22⋊D61—41no—
716C22⋊D61—41no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C22⋊D61—81no—
727C2×Dic61—22no—
728C2×Dic61—22no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—41no—
736C2×Dic61—41no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—81no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750D244—21no—
751D244—21no—
752D244—21no—
753D244—21no—
754D244—42no—
755D244—81no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—22no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766Dic122—41no—
767Dic122—42no—
768Dic122—42no—
769Dic122—42no—
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#62117—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—22no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61C2×2−1+411yescharacteristic
815C4×C61#58511yescharacteristic
816Dic61—21no—
817Dic61—21no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61#57512yes—
829#3511—611no—
830#3480—611no—
831#3388—611no—
832#3388—611no—
833#3370—611no—
834#3370—611no—
835#3355—611no—
836#3355—611no—
837#3350—611no—
838#3350—611no—
839#3347—611no—
840#3347—611no—
841#3326—611no—
842#3326D6111yescharacteristic, complemented
843#3321—611no—
844#3321—611no—
845#3309—611no—
846#3309—611no—
847#3253—611no—
848#3251—611no—
849#3247—611no—
850#3238—611no—
851#3235—611no—
852#3233—611no—
853#3115—611no—
854#3112—611no—
855#3106—611no—
856#3079—611no—
857#3078—611no—
858#3076—611no—
859#2989—611no—
860C2×C61—41no—
861C2×C61—41no—
862C2×C61—81no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—81no—
869D61—81no—
870#559—611no—
871#559—1221no—
872#557—611no—
873#556—611no—
874#556—1221no—
875#556—1221no—
876#555—611no—
877#555—611no—
878#554—611no—
879#554—611no—
880#553—611no—
881#553—611no—
882#553—611no—
883#553—611no—
884#553—611no—
885#553—1221no—
886#553—1221no—
887#553C2×D6111yescharacteristic
888#550—611no—
889#548—611no—
890#548—1221no—
891#548—1221no—
892#548C2×D6111yescharacteristic
893#547—1221no—
894#542—1221no—
895#542—1221no—
896#537—1221no—
897#533—611no—
898#533—611no—
899#532—611no—
900#532—611no—
901#532—611no—
902#532—611no—
903#532—1221no—
904C2×C4⋊Q8—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529—1221no—
909#520—1221no—
910C4×#41—611no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—1221no—
914C2×C4×Q8—611no—
915#501—611no—
916#501—611no—
917#501—611no—
918#501—611no—
919#499—611no—
920#499—611no—
921#490—611no—
922#490—611no—
923#489—611no—
924#489—611no—
925#488—611no—
926#488C2×D6111yescharacteristic
927#485—611no—
928#485—611no—
929#483—611no—
930#483C2×D6111yescharacteristic
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482C2×D6111yescharacteristic
941#480—611no—
942#480—611no—
943#480—611no—
944#480—611no—
945#479—611no—
946#479—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479C2×D6111yescharacteristic
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#477—611no—
958#477—611no—
959#477—611no—
960#477—611no—
961#476—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#476—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#475—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#469—611no—
976#469—611no—
977#469—611no—
978#469—611no—
979#469—611no—
980#469C2×D6111yescharacteristic
981#468—611no—
982#468C2×D6111yescharacteristic
983#466—611no—
984#466—611no—
985#465—611no—
986#465—611no—
987#463—611no—
988#463—611no—
989#463—611no—
990#463C2×D6111yescharacteristic
991#460—611no—
992#460—611no—
993#459—611no—
994#459—611no—
995#459—611no—
996#459—611no—
997#449—611no—
998#449—611no—
999#449—611no—
1000#449C2×D6111yescharacteristic
1001#448—611no—
1002#448C2×D6111yescharacteristic
1003#446—611no—
1004#446—611no—
1005#442—611no—
1006#442—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013C4×SD16—611no—
1014C4×SD16C2×D6111yescharacteristic
1015C4×D8—611no—
1016C4×D8—611no—
1017#436—611no—
1018#436C2×D6111yescharacteristic
1019#435—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#432—611no—
1024#432—611no—
1025#431—611no—
1026#428—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#427—611no—
1031#427—611no—
1032#423—611no—
1033#423—611no—
1034C2×C4⋊C8—611no—
1035#419—611no—
1036#419C2×D6111yescharacteristic
1037#417—611no—
1038#417C2×D6111yescharacteristic
1039#416—611no—
1040#416—611no—
1041C61#6211711yescharacteristic, complemented, Sylow
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—1221no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41C22×D6111yescharacteristic
1049C22×Q8—1221no—
1050C22×Q8C22×D6111yescharacteristic
1051C2×SD16—611no—
1052C2×SD16—611no—
1053C2×SD16C22×D6111yescharacteristic
1054C2×SD16C22×D6111yescharacteristic
1055C2×D8—611no—
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8C22×D6111yescharacteristic
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16C22×D6111yescharacteristic
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074#127—611no—
1075#127—611no—
1076#127—1221no—
1077#126—21no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—1221no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#124—21no—
1096#124—611no—
1097#124—1221no—
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#124C22×D6111yescharacteristic
1109#123—21no—
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—
1119C22⋊Q8—21no—
1120C22⋊Q8—611no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8C22×D6111yescharacteristic
1133#121—21no—
1134#121—21no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
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#121—1221no—
1156#121C22×D6111yescharacteristic
1157#121C22×D6111yescharacteristic
1158#121C22×D6111yescharacteristic
1159C4×Q8—611no—
1160C4×Q8—611no—
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×Q8C22×D6111yescharacteristic
1175C4×D4—21no—
1176C4×D4—21no—
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—611no—
1189C4×D4—611no—
1190C4×D4—611no—
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×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4C22×D6111yescharacteristic
1210C4×D4C22×D6111yescharacteristic
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—611no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117—1221no—
1225#117C22×D6111yescharacteristic
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C42—611no—
1234C2×C42—611no—
1235C2×C42—611no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42—1221no—
1239#107—611no—
1240#107—611no—
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#107C22×D6111yescharacteristic
1251#106—611no—
1252#106—611no—
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#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8C22×D6111yescharacteristic
1310C22⋊C8C22×D6111yescharacteristic
1311#97—611no—
1312#97—611no—
1313#97—611no—
1314#97—611no—
1315C4×C8—611no—
1316C4×C8C22×D6111yescharacteristic
1317#41—22no—
1318#41—41no—
1319#41—1222no—
1320#41—4882no—
1321#41—4882no—
1322#41—2442no—
1323#41—2444no—
1324#41—2444no—
1325#41—2441no—
1326C2×Q8—21no—
1327C2×Q8—22no—
1328C2×Q8—41no—
1329C2×Q8—611no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8—4882no—
1337C2×Q8C23×D6111yescharacteristic
1338C2×Q8C23×D6111yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—611no—
1346C2×D4—611no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4D4×D6111yescharacteristic
1360C2×D4C23×D6111yescharacteristic
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4C23×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387SD16—22no—
1388SD16—41no—
1389SD16—1222no—
1390SD16—2441no—
1391D8—41no—
1392D8—2441no—
1393D8—2441no—
1394D8—2441no—
1395M16—41no—
1396M16—41no—
1397M16—2441no—
1398M16—2441no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—2441no—
1404C2×C8—2441no—
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—611no—
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—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⋊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⋊C4D4×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
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—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⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4D4×D6111yescharacteristic
1491C22⋊C4D4×D6111yescharacteristic
1492C42—21no—
1493C42—21no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42C23×D6111yescharacteristic
1514C23—21no—
1515C23—21no—
1516C23—611no—
1517C23—1221no—
1518C23—1221no—
1519C23C2×D4×D6111yescharacteristic
1520C23C2×D4×D6111yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—42no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—2441no—
1528Q8—2442no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8#1451982412yes—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—41no—
1538D4—42no—
1539D4—42no—
1540D4—42no—
1541D4—81no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2442no—
1554D4—2441no—
1555D4—2441no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
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—21no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—1222no—
1582C2×C4—1222no—
1583C2×C4—1222no—
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—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—2441no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2441no—
1605C2×C4—2441no—
1606C2×C4—2442no—
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C24×D6111yescharacteristic
1612C8—21no—
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—22no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—612no—
1653C4—1221no—
1654C4—1221no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4C2×#1451982411yescharacteristic
1666C4#1684059711yescharacteristic
1667C2—41no—
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—4881no—
1672C2—4881no—
1673C2—2441no—
1674C2#2145949011yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3326C2
socleC22×C61C23×D4
hypercenter#3326D61
hypocenterC61#62117
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459409C2semidirect
3. #21458762C2semidirect
4. #21458760C2semidirect
5. #21458578C2semidirect
6. #21458576C2semidirect
7. #21458424C2semidirect
8. #21458419C2semidirect
9. #21458367C2semidirect
10. #21458359C2semidirect
11. #21458314C2semidirect
12. #21458312C2semidirect
13. #21458072C2semidirect
14. #21458006C2semidirect
15. #21457998C2semidirect
16. #21457826C2semidirect
17. #21457818C2semidirect
18. #21457196C2semidirect
19. #21457176C2semidirect
20. #21457142C2semidirect
21. #21457043C2semidirect
22. #21457014C2semidirect
23. #21456993C2semidirect
24. #21455963C2semidirect
25. #21455936C2semidirect
26. #21455877C2semidirect
27. #21455630C2semidirect
28. #21455621C2semidirect
29. #21455606C2semidirect
30. #21454934C2semidirect
31. C61×#3326C2semidirect
842. #3326D61semidirect
1041. C61#62117semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214594092
#214587622
#214587602
#214585782
#214585762
#214584242
#214584192
#214583672
#214583592
#214583142
#214583122
#214580722
#214580062
#214579982
#214578262
#214578182
#214571962
#214571762
#214571422
#214570432
#214570142
#214569932
#214559632
#214559362
#214558772
#214556302
#214556212
#214556062
#214549342
C61×#33262
#6211761