Finite Group Databasebeta

← #30576165

Subgroups — #30576165

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459633C211yesmaximal, characteristic, complemented
2#21459424C211yesmaximal, characteristic
3#21458730C211yesmaximal, characteristic, complemented
4#21458724C211yesmaximal, characteristic, complemented
5#21458630C211yesmaximal, characteristic, complemented
6#21458628C211yesmaximal, characteristic, complemented
7#21458307C211yesmaximal, characteristic, complemented
8#21458306C211yesmaximal, characteristic, complemented
9#21458299C211yesmaximal, characteristic, complemented
10#21458298C211yesmaximal, characteristic, complemented
11#21458208C211yesmaximal, characteristic, complemented
12#21458206C211yesmaximal, characteristic, complemented
13#21457901C211yesmaximal, characteristic, complemented
14#21457900C211yesmaximal, characteristic, complemented
15#21457893C211yesmaximal, characteristic, complemented
16#21457639C211yesmaximal, characteristic, complemented
17#21457636C211yesmaximal, characteristic, complemented
18#21457201C211yesmaximal, characteristic, complemented
19#21457153C211yesmaximal, characteristic, complemented
20#21457151C211yesmaximal, characteristic, complemented
21#21457052C211yesmaximal, characteristic, complemented
22#21457045C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21455916C211yesmaximal, characteristic, complemented
25#21455913C211yesmaximal, characteristic, complemented
26#21455883C211yesmaximal, characteristic, complemented
27#21455630C211yesmaximal, characteristic, complemented
28C2×#16840040C211yesmaximal, characteristic, complemented
29#474×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3314C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic, complemented
34#16840492C2211yescharacteristic, complemented
35#16840489—21no—
36#16840471C2211yescharacteristic
37#16840470C2211yescharacteristic
38#16840470C2211yescharacteristic
39#16840470C2211yescharacteristic, complemented
40#16840469C2211yescharacteristic, complemented
41#16840467C2211yescharacteristic
42#16840467C2211yescharacteristic, complemented
43#16840459C2211yescharacteristic
44#16840458C2211yescharacteristic
45#16840455—21no—
46#16840438—21no—
47#16840435—21no—
48D4×Dic122—21no—
49#16840425—21no—
50#16840425—21no—
51#16840400C2211yescharacteristic
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54#16840392—21no—
55#16840391—21no—
56#16840391—21no—
57#16840316C2211yescharacteristic, complemented
58#16840314C2211yescharacteristic, complemented
59#16840314C2211yescharacteristic, complemented
60#16840307C2211yescharacteristic
61C2×#14519776C2211yescharacteristic, complemented
62C2×#14519776C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840291C2211yescharacteristic
66#16840289—21no—
67#16840272—21no—
68#16840268—21no—
69#16840241—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61C2211yescharacteristic
73C2×#14519737—21no—
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840166C2211yescharacteristic, complemented
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840121C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840104C2211yescharacteristic, complemented
87#16840100C2211yescharacteristic, complemented
88#16840099C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840096C2211yescharacteristic, complemented
93#16840095C2211yescharacteristic, complemented
94#16840095C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic
96#16840080C2211yescharacteristic
97#16840079C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840076C2211yescharacteristic, complemented
100#16840075C2211yescharacteristic, complemented
101#16840073C2211yescharacteristic, complemented
102#16840070C2211yescharacteristic, complemented
103#16840069C2211yescharacteristic, complemented
104#16840068C2211yescharacteristic, complemented
105#16840067C2211yescharacteristic, complemented
106#16840056C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840055C2211yescharacteristic, complemented
109#16840055C2211yescharacteristic, complemented
110#16840050C2211yescharacteristic
111#16840050C2211yescharacteristic
112#16840045C2211yescharacteristic, complemented
113#16840045C2211yescharacteristic, complemented
114#16840045C2211yescharacteristic, complemented
115#16840043C2211yescharacteristic, complemented
116#16840042C2211yescharacteristic
117#16840041C2211yescharacteristic, complemented
118#16840041C2211yescharacteristic, complemented
119#16840041C2211yescharacteristic, complemented
120#16840040C2211yescharacteristic
121#16840040C2211yescharacteristic
122#16840040C2211yescharacteristic
123#16840040C2211yescharacteristic
124#16840040C2211yescharacteristic
125#16840040C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic, complemented
130#16840039C2211yescharacteristic, complemented
131#16840010C2211yescharacteristic, complemented
132#16840008C2211yescharacteristic, complemented
133#16840006C2211yescharacteristic, complemented
134#16840002C2211yescharacteristic, complemented
135#16840001C2211yescharacteristic, complemented
136#16840000C2211yescharacteristic, complemented
137#16839993C2211yescharacteristic
138#16839991C2211yescharacteristic
139#16839990C2211yescharacteristic
140#16839988C2211yescharacteristic
141#16839987C2211yescharacteristic, complemented
142#16839986C2211yescharacteristic, complemented
143#16839981C2211yescharacteristic, complemented
144#16839970C2211yescharacteristic, complemented
145#16839966C2211yescharacteristic, complemented
146#16839965C2211yescharacteristic
147#16839965C2211yescharacteristic, complemented
148#16839961C2211yescharacteristic
149#16839960C2211yescharacteristic
150#16839924C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839864C2211yescharacteristic, complemented
157#16839863C2211yescharacteristic
158#16839863C2211yescharacteristic, complemented
159#16839862C2211yescharacteristic
160#16839860C2211yescharacteristic, complemented
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic, complemented
163Q16×Dic61C2211yescharacteristic, complemented
164#16839854C2211yescharacteristic, complemented
165#16839853C2211yescharacteristic
166SD16×Dic61C2211yescharacteristic
167#16839836C2211yescharacteristic, complemented
168#16839834C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839804C2211yescharacteristic, complemented
176#16839802C2211yescharacteristic, complemented
177C2×#14519711C2211yescharacteristic, complemented
178C2×#14519710C2211yescharacteristic, complemented
179#107×D61C2211yescharacteristic, complemented
180#107×D61C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839763C2211yescharacteristic
185C2×#14519698C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#554C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic
194C61×#468C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224D411yescharacteristic
205C22×Dic122—21no—
206C22×Dic122—21no—
207C2×Q8×D61—21no—
208C22×C22⋊D61—21no—
209C2×D4×D61C2311yescharacteristic
210C23×Dic61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758194C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221#14519777—21no—
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519775—21no—
240#14519775—21no—
241#14519775—21no—
242#14519775C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772—21no—
246#14519770—21no—
247#14519770—21no—
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768C2311yescharacteristic
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519766C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519761—21no—
263#14519761—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519758—21no—
269#14519757—21no—
270#14519757—21no—
271#14519757—21no—
272#14519757C2311yescharacteristic
273#14519756—21no—
274#14519756—21no—
275#14519756—21no—
276#14519756C2311yescharacteristic
277#14519756C2311yescharacteristic
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519753C2311yescharacteristic
291#14519753C2311yescharacteristic
292#14519751C2311yescharacteristic
293#14519751C2311yescharacteristic
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519746—21no—
301#14519745—21no—
302#14519745—21no—
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314#14519742D411yescharacteristic
315#14519742C2311yescharacteristic
316#14519742C2311yescharacteristic
317C4×D244C2311yescharacteristic
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61D411yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329#14519739C2311yescharacteristic
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61C2311yescharacteristic
334C4×C22⋊D61C2311yescharacteristic
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737D411yescharacteristic
346#14519737D411yescharacteristic
347#14519736—21no—
348#14519736C2311yescharacteristic
349#14519735—21no—
350#14519735D411yescharacteristic
351#14519734—21no—
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733D411yescharacteristic
356#14519733D411yescharacteristic
357C2×C4⋊Dic61C2311yescharacteristic
358C2×C4⋊Dic61C2311yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C2×C22⋊Dic61—21no—
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C22×D4×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#125×C61—21no—
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C22⋊C4×C61—21no—
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—22no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—41no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C22×C4×C61C2411yescharacteristic
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—44no—
506C2×C22⋊D61C2×D411yescharacteristic
507C2×C22⋊D61C2×D411yescharacteristic
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—82no—
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519C22×Dic61C2×D411yescharacteristic
520C22×Dic61C2×D411yescharacteristic
521Q8×D61—82no—
522#11758224—24no—
523#11758224—82no—
524D4×D61—22no—
525D4×D61—41no—
526C2×D244C2411yescharacteristic
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—82no—
546C2×Dic122—82no—
547C2×Dic122C2×D411yescharacteristic
548C2×Dic122C2411yescharacteristic
549Q16×C61—41no—
550SD16×C61—22no—
551SD16×C61—41no—
552M16×C61—41no—
553C2×C8×C61—41no—
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61C2×D411yescharacteristic
578C22⋊C4×C61C2×D411yescharacteristic
579C42×C61—21no—
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
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#11758202—41no—
593#11758201—41no—
594#11758200—22no—
595#11758200—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#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
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#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×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668#11758194—41no—
669C2×#92418—41no—
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674#11758190—41no—
675C8×D61—41no—
676C8×D61—41no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—42no—
680C23×C61—42no—
681C23×C61—81no—
682C23×C61C22×D411yescharacteristic
683C23×C61C22×D411yescharacteristic
684C22×D61—21no—
685C22×D61—42no—
686C22×D61—42no—
687C22×D61—81no—
688C22×D61C22×D411yescharacteristic
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—81no—
694D4×C61—22no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—42no—
699D4×C61—42no—
700D4×C61—81no—
701D4×C612−1+412yes—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—42no—
713C2×C4×C61—81no—
714C2×C4×C61—81no—
715C2×C4×C61—81no—
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C2511yescharacteristic
721C22⋊D61—22no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—81no—
727C22⋊D61—81no—
728C22⋊D61#13714yes—
729C2×Dic61—22no—
730C2×Dic61—22no—
731C2×Dic61—22no—
732C2×Dic61—22no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—42no—
741C2×Dic61—42no—
742C2×Dic61—42no—
743C2×Dic61—81no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755D244—21no—
756D244—21no—
757C4×D61—22no—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—22no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766Dic122—22no—
767Dic122—21no—
768Dic122—21no—
769Dic122—42no—
770Dic122—42no—
771Dic122—42no—
772Dic122—81no—
773Dic122—81no—
774Dic122—81no—
775Dic122—81no—
776Dic122—81no—
777Dic122—81no—
778C8×C61—21no—
779C8×C61—21no—
780C8×C61—21no—
781C8×C61—21no—
782#92418—21no—
783#92418—21no—
784#92418—21no—
785#92418—21no—
786#62127—611nomaximal, Sylow
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—22no—
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—84no—
799C22×C61C2×#13712yes—
800C22×C61C23×D411yescharacteristic
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—84no—
807C2×D61C2×#13712yes—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61C2×2−1+411yescharacteristic
819C4×C61#58511yescharacteristic
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831Dic61—41no—
832Dic61C2×#13712yes—
833Dic61#57612yes—
834#3503—611no—
835#3481—611no—
836#3385—611no—
837#3385—611no—
838#3375—611no—
839#3375—611no—
840#3346—611no—
841#3346—611no—
842#3346—611no—
843#3346—611no—
844#3338—611no—
845#3338—611no—
846#3314—611no—
847#3314—611no—
848#3314—611no—
849#3314D6111yescharacteristic, complemented
850#3295—611no—
851#3295—611no—
852#3254—611no—
853#3248—611no—
854#3248—611no—
855#3239—611no—
856#3239—611no—
857#3226—611no—
858#3110—611no—
859#3110—611no—
860#3107—611no—
861#3079—611no—
862C2×#474—611no—
863C2×#474—611no—
864#2990—611no—
865C2×C61—22no—
866C2×C61—42no—
867C2×C61—41no—
868C2×C61—81no—
869C2×C61#348911yescharacteristic
870C2×C61C22×#13711yescharacteristic
871C2×C61C2×#57611yescharacteristic
872D61—22no—
873D61—81no—
874#559—611no—
875Q82—611no—
876Q82—611no—
877#557—1221no—
878#554—611no—
879#554—611no—
880#554—611no—
881#554—611no—
882#554—611no—
883#554—611no—
884#554—611no—
885#554C2×D6111yescharacteristic, complemented
886#553—611no—
887#553—611no—
888#553—1221no—
889#551—1221no—
890#551—1221no—
891D4×Q8—1221no—
892D4×Q8—1221no—
893D4×Q8—1221no—
894#546—611no—
895#546—1221no—
896#546C2×D6111yescharacteristic
897D42—611no—
898#544—1221no—
899#544—1221no—
900#544—1221no—
901#533—611no—
902#533—611no—
903#533—611no—
904#532—611no—
905C2×C4⋊Q8—611no—
906C2×C4⋊Q8—611no—
907C2×C4⋊Q8—611no—
908#529—611no—
909#529—611no—
910#529—1221no—
911#525—1221no—
912#525—1221no—
913#520—1221no—
914C4×#41—611no—
915C4×#41—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—1221no—
919#501—611no—
920#501—611no—
921#501—611no—
922#501—611no—
923#500—611no—
924#500—611no—
925#489—611no—
926#489—611no—
927#489—611no—
928#489C2×D6111yescharacteristic, complemented
929#486—611no—
930#486—611no—
931#485—611no—
932#485—611no—
933#484—611no—
934#484—611no—
935#484—611no—
936#484—611no—
937#484—611no—
938#484—611no—
939#484—611no—
940#484C2×D6111yescharacteristic, complemented
941#481—611no—
942#481—611no—
943#481—611no—
944#481—611no—
945#480—611no—
946#480—611no—
947#480—611no—
948#480C2×D6111yescharacteristic, complemented
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#477—611no—
954#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#475—611no—
960#475—611no—
961#475—611no—
962#474—611no—
963#474—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#474—611no—
978#474C2×D6111yescharacteristic
979#468—611no—
980#468—611no—
981#468—611no—
982#468C2×D6111yescharacteristic, complemented
983#467—611no—
984#467—611no—
985#467—611no—
986#467C2×D6111yescharacteristic, complemented
987#465—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#464—611no—
992#464—611no—
993#464—611no—
994#464C2×D6111yescharacteristic, complemented
995#462—611no—
996#461—611no—
997#461—611no—
998#461—611no—
999#460—611no—
1000#460—611no—
1001#452—611no—
1002#452C2×D6111yescharacteristic
1003#450—611no—
1004#450—611no—
1005#450—611no—
1006#450C2×D6111yescharacteristic
1007#446—611no—
1008#446—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016#440C2×D6111yescharacteristic
1017C4×Q16—611no—
1018C4×Q16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435C2×D6111yescharacteristic, complemented
1025C8×D4—611no—
1026C8×D4—611no—
1027#432—611no—
1028#432—611no—
1029#431—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#107—611no—
1034C2×#107—611no—
1035C2×#107—611no—
1036#423—611no—
1037C2×C4⋊C8—611no—
1038C2×C4⋊C8—611no—
1039#417—611no—
1040#417C2×D6111yescharacteristic
1041C2×#102—611no—
1042C2×#102—611no—
1043C2×#102—611no—
1044C2×#102C2×D6111yescharacteristic
1045C61#6212711yescharacteristic, complemented, Sylow
1046C2×#41—611no—
1047C2×#41—1221no—
1048C2×#41C22×D6111yescharacteristic
1049C22×Q8—1221no—
1050C22×Q8—1221no—
1051C22×Q8—1221no—
1052C22×D4—611no—
1053C22×D4—1221no—
1054C22×D4C22×D6111yescharacteristic
1055C23×C4—1221no—
1056C23×C4—1221no—
1057C2×Q16—611no—
1058C2×Q16C22×D6111yescharacteristic
1059C2×SD16—611no—
1060C2×SD16—611no—
1061C2×SD16—611no—
1062C2×SD16—611no—
1063C2×SD16C22×D6111yescharacteristic
1064C2×SD16C22×D6111yescharacteristic
1065C2×M16—611no—
1066C2×M16C22×D6111yescharacteristic
1067C22×C8—611no—
1068C22×C8—611no—
1069C22×C8—611no—
1070C22×C8C22×D6111yescharacteristic
1071C4⋊Q8—611no—
1072C4⋊Q8—611no—
1073C4⋊Q8—611no—
1074C4⋊Q8—611no—
1075C4⋊Q8—611no—
1076C4⋊Q8—611no—
1077C4⋊Q8—611no—
1078C4⋊Q8—611no—
1079C4⋊Q8—611no—
1080C4⋊Q8—611no—
1081C4⋊Q8—1221no—
1082C4⋊Q8—1221no—
1083C4⋊Q8—1221no—
1084C4⋊Q8—1221no—
1085C4⋊Q8—1221no—
1086C4⋊Q8—1221no—
1087C4⋊Q8—1221no—
1088C4⋊Q8—1221no—
1089C4⋊Q8—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093C4⋊Q8C22×D6111yescharacteristic
1094#127—611no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#125—21no—
1100#125—611no—
1101#125—611no—
1102#125—1221no—
1103#125—1221no—
1104#125—1221no—
1105#125—1221no—
1106#125—1221no—
1107#125—1221no—
1108#125—1221no—
1109#125—1221no—
1110#125—1221no—
1111#124—611no—
1112#124—1221no—
1113#124—1221no—
1114#124C22×D6111yescharacteristic
1115#123—21no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊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
1150C22⋊Q8C22×D6111yescharacteristic
1151#121—21no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121C22×D6111yescharacteristic
1161#120—21no—
1162#120—1221no—
1163#120—1221no—
1164#120—1221no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8C22×D6111yescharacteristic
1180C4×D4—21no—
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×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4C22×D6111yescharacteristic
1212C4×D4C22×D6111yescharacteristic
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—611no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C4⋊C4C22×D6111yescharacteristic
1234C2×C4⋊C4C22×D6111yescharacteristic
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—1221no—
1237C2×C22⋊C4—1221no—
1238C2×C22⋊C4—1221no—
1239C2×C42—611no—
1240C2×C42—611no—
1241C2×C42—611no—
1242C2×C42—1221no—
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#107—611no—
1252#107—611no—
1253#107—611no—
1254#107—611no—
1255#107—611no—
1256#107—611no—
1257#107—611no—
1258#107C22×D6111yescharacteristic
1259#107C22×D6111yescharacteristic
1260#107C22×D6111yescharacteristic
1261#106—611no—
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265#106—611no—
1266#106—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8C22×D6111yescharacteristic
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103C22×D6111yescharacteristic
1288#103C22×D6111yescharacteristic
1289#103C22×D6111yescharacteristic
1290#103C22×D6111yescharacteristic
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
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8C22×D6111yescharacteristic
1314C22⋊C8C22×D6111yescharacteristic
1315#97—611no—
1316#97—611no—
1317#97—611no—
1318#97C22×D6111yescharacteristic
1319C4×C8—611no—
1320C4×C8—611no—
1321C24—21no—
1322C24—1221no—
1323#41—22no—
1324#41—41no—
1325#41—1224no—
1326#41—4882no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8—1221no—
1337C2×Q8—1221no—
1338C2×Q8—1221no—
1339C2×Q8—4882no—
1340C2×Q8—4882no—
1341C2×Q8—4882no—
1342C2×Q8C23×D6111yescharacteristic
1343C2×Q8C23×D6111yescharacteristic
1344C2×D4—22no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—41no—
1349C2×D4—611no—
1350C2×D4—611no—
1351C2×D4—611no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1222no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—2441no—
1360C2×D4—2444no—
1361C2×D4D4×D6111yescharacteristic
1362C2×D4C23×D6111yescharacteristic
1363C2×D4C23×D6111yescharacteristic
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
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×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—4882no—
1389C22×C4—4882no—
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—41no—
1393Q16—2441no—
1394SD16—22no—
1395SD16—41no—
1396SD16—1222no—
1397SD16—2441no—
1398SD16—2441no—
1399SD16—2441no—
1400M16—41no—
1401M16—2441no—
1402C2×C8—41no—
1403C2×C8—611no—
1404C2×C8—611no—
1405C2×C8—611no—
1406C2×C8—611no—
1407C2×C8—2441no—
1408C2×C8—2441no—
1409C2×C8—2441no—
1410C2×C8C23×D6111yescharacteristic
1411C2×C8C23×D6111yescharacteristic
1412C2×C8C23×D6111yescharacteristic
1413C2×C8C23×D6111yescharacteristic
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4D4×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4D4×D6111yescharacteristic
1500C22⋊C4D4×D6111yescharacteristic
1501C42—21no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—611no—
1509C42—611no—
1510C42—611no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42—1221no—
1516C42—1221no—
1517C42—1221no—
1518C42—1221no—
1519C42C23×D6111yescharacteristic
1520C23—21no—
1521C23—21no—
1522C23—42no—
1523C23—42no—
1524C23—81no—
1525C23—611no—
1526C23—1221no—
1527C23—4881no—
1528C23—2442no—
1529C23—2442no—
1530C23C2×D4×D6111yescharacteristic
1531C23C2×D4×D6111yescharacteristic
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—81no—
1537Q8—1222no—
1538Q8—1221no—
1539Q8—1221no—
1540Q8—4881no—
1541Q8—4881no—
1542Q8—4881no—
1543Q8—4881no—
1544Q8—4881no—
1545Q8—4881no—
1546Q8—2442no—
1547Q8—2442no—
1548Q8—2442no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—42no—
1554D4—42no—
1555D4—81no—
1556D4—614no—
1557D4—1222no—
1558D4—1221no—
1559D4—1221no—
1560D4—4881no—
1561D4—4881no—
1562D4—2442no—
1563D4—2442no—
1564D4—2442no—
1565D4—2442no—
1566D4#1451982412yes—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—42no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—611no—
1582C2×C4—611no—
1583C2×C4—611no—
1584C2×C4—611no—
1585C2×C4—611no—
1586C2×C4—611no—
1587C2×C4—611no—
1588C2×C4—1222no—
1589C2×C4—1222no—
1590C2×C4—1222no—
1591C2×C4—1222no—
1592C2×C4—1222no—
1593C2×C4—1222no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—4881no—
1604C2×C4—4881no—
1605C2×C4—4881no—
1606C2×C4—4881no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—2442no—
1613C2×C4—2442no—
1614C2×C4—2442no—
1615C2×C4—2442no—
1616C2×C4C2×D4×D6111yescharacteristic
1617C2×C4C2×D4×D6111yescharacteristic
1618C2×C4C2×D4×D6111yescharacteristic
1619C2×C4C2×D4×D6111yescharacteristic
1620C2×C4C24×D6111yescharacteristic
1621C8—21no—
1622C8—21no—
1623C8—21no—
1624C8—21no—
1625C8—1221no—
1626C8—1221no—
1627C8—1221no—
1628C8—1221no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—22no—
1633C22—21no—
1634C22—21no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—84no—
1641C22—612no—
1642C22—1221no—
1643C22—1221no—
1644C22—4884no—
1645C22—2441no—
1646C22—2441no—
1647C22—2441no—
1648C22#137×D6112yes—
1649C22C22×D4×D6111yescharacteristic
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—612no—
1661C4—612no—
1662C4—1221no—
1663C4—1221no—
1664C4—1221no—
1665C4—1221no—
1666C4—1221no—
1667C4—2441no—
1668C4—2441no—
1669C4—2441no—
1670C4—2441no—
1671C4—2441no—
1672C4—2441no—
1673C4—2441no—
1674C4C2×#1451982411yescharacteristic
1675C4#1684059711yescharacteristic
1676C2—22no—
1677C2—41no—
1678C2—42no—
1679C2—81no—
1680C2—1222no—
1681C2—4881no—
1682C2#2145949011yescharacteristic
1683C2C2×#137×D6111yescharacteristic
1684C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3314C2
socleC22×C61C23×D4
prime radical#21459424C2
hypercenter#3314D61
hypocenterC61#62127
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21459633C2semidirect
3. #21458730C2semidirect
4. #21458724C2semidirect
5. #21458630C2semidirect
6. #21458628C2semidirect
7. #21458307C2semidirect
8. #21458306C2semidirect
9. #21458299C2semidirect
10. #21458298C2semidirect
11. #21458208C2semidirect
12. #21458206C2semidirect
13. #21457901C2semidirect
14. #21457900C2semidirect
15. #21457893C2semidirect
16. #21457639C2semidirect
17. #21457636C2semidirect
18. #21457201C2semidirect
19. #21457153C2semidirect
20. #21457151C2semidirect
21. #21457052C2semidirect
22. #21457045C2semidirect
23. #21456938C2semidirect
24. #21455916C2semidirect
25. #21455913C2semidirect
26. #21455883C2semidirect
27. #21455630C2semidirect
28. C2×#16840040C2semidirect
29. #474×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3314C2semidirect
33. Q8×Dic122C22semidirect
34. #16840492C22semidirect
39. #16840470C22semidirect
40. #16840469C22semidirect
42. #16840467C22semidirect
57. #16840316C22semidirect
58. #16840314C22semidirect
59. #16840314C22semidirect
61. C2×#14519776C22semidirect
62. C2×#14519776C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840171C22semidirect
76. #16840170C22semidirect
77. #16840170C22semidirect
78. #16840168C22semidirect
79. #16840166C22semidirect
80. #16840166C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840121C22semidirect
86. #16840104C22semidirect
87. #16840100C22semidirect
88. #16840099C22semidirect
89. #16840098C22semidirect
90. #16840096C22semidirect
91. #16840096C22semidirect
92. #16840096C22semidirect
93. #16840095C22semidirect
94. #16840095C22semidirect
99. #16840076C22semidirect
100. #16840075C22semidirect
101. #16840073C22semidirect
102. #16840070C22semidirect
103. #16840069C22semidirect
104. #16840068C22semidirect
105. #16840067C22semidirect
106. #16840056C22semidirect
107. #16840055C22semidirect
108. #16840055C22semidirect
109. #16840055C22semidirect
112. #16840045C22semidirect
113. #16840045C22semidirect
114. #16840045C22semidirect
115. #16840043C22semidirect
117. #16840041C22semidirect
118. #16840041C22semidirect
119. #16840041C22semidirect
125. #16840040C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
128. #16840040C22semidirect
129. #16840040C22semidirect
130. #16840039C22semidirect
131. #16840010C22semidirect
132. #16840008C22semidirect
133. #16840006C22semidirect
134. #16840002C22semidirect
135. #16840001C22semidirect
136. #16840000C22semidirect
141. #16839987C22semidirect
142. #16839986C22semidirect
143. #16839981C22semidirect
144. #16839970C22semidirect
145. #16839966C22semidirect
147. #16839965C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839864C22semidirect
158. #16839863C22semidirect
160. #16839860C22semidirect
162. #16839859C22semidirect
163. Q16×Dic61C22semidirect
164. #16839854C22semidirect
167. #16839836C22semidirect
168. #16839834C22semidirect
169. #16839831C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839804C22semidirect
176. #16839802C22semidirect
177. C2×#14519711C22semidirect
178. C2×#14519710C22semidirect
179. #107×D61C22semidirect
180. #107×D61C22semidirect
181. #16839785C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
188. C61×#554C22semidirect
190. C61×#489C22semidirect
191. C61×#484C22semidirect
192. C61×#480C22semidirect
194. C61×#468C22semidirect
195. C61×#467C22semidirect
196. C61×#464C22semidirect
200. C61×#435C22semidirect
849. #3314D61semidirect
885. #554C2×D61semidirect
928. #489C2×D61semidirect
940. #484C2×D61semidirect
948. #480C2×D61semidirect
982. #468C2×D61semidirect
986. #467C2×D61semidirect
994. #464C2×D61semidirect
1024. #435C2×D61semidirect
1045. C61#62127semidirect

Maximal subgroups

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

subgroupindex
#214596332
#214594242
#214587302
#214587242
#214586302
#214586282
#214583072
#214583062
#214582992
#214582982
#214582082
#214582062
#214579012
#214579002
#214578932
#214576392
#214576362
#214572012
#214571532
#214571512
#214570522
#214570452
#214569382
#214559162
#214559132
#214558832
#214556302
C2×#168400402
#474×D612
#214549392
C61×#33142
#6212761