Finite Group Databasebeta

← #30576182

Subgroups — #30576182

Order 15616.

2018 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459598C211yesmaximal, characteristic, complemented
2#21459424C211yesmaximal, characteristic, complemented
3#21458719C211yesmaximal, characteristic, complemented
4#21458713C211yesmaximal, characteristic, complemented
5#21458608C211yesmaximal, characteristic, complemented
6#21458606C211yesmaximal, characteristic, complemented
7#21458291C211yesmaximal, characteristic, complemented
8#21458289C211yesmaximal, characteristic, complemented
9#21458284C211yesmaximal, characteristic, complemented
10#21458282C211yesmaximal, characteristic, complemented
11#21458171C211yesmaximal, characteristic, complemented
12#21458169C211yesmaximal, characteristic, complemented
13#21457781C211yesmaximal, characteristic, complemented
14#21457780C211yesmaximal, characteristic, complemented
15#21457773C211yesmaximal, characteristic, complemented
16#21457628C211yesmaximal, characteristic, complemented
17#21457625C211yesmaximal, characteristic, complemented
18#21457196C211yesmaximal, characteristic, complemented
19#21457142C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21457043C211yesmaximal, characteristic, complemented
22#21457036C211yesmaximal, characteristic, complemented
23#21456945C211yesmaximal, characteristic, complemented
24#21455908C211yesmaximal, characteristic, complemented
25#21455905C211yesmaximal, characteristic, complemented
26#21455872C211yesmaximal, characteristic, complemented
27#21455630C211yesmaximal, characteristic, complemented
28C2×#16840050C211yesmaximal, characteristic, complemented
29#476×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3306C211yesmaximal, characteristic, complemented
32C2×#14519824—21no—
33#16840494C2211yescharacteristic
34#16840471C2211yescharacteristic
35#16840470C2211yescharacteristic
36#16840459C2211yescharacteristic
37#16840458C2211yescharacteristic
38#16840455—21no—
39#16840438—21no—
40#16840435—21no—
41D4×Dic122C2211yescharacteristic, complemented
42#16840427C2211yescharacteristic, complemented
43#16840425—21no—
44#16840416C2211yescharacteristic, complemented
45#16840413C2211yescharacteristic
46#16840413C2211yescharacteristic, complemented
47#16840412C2211yescharacteristic
48#16840412C2211yescharacteristic, complemented
49#16840411—21no—
50#16840410—21no—
51#16840410—21no—
52#16840400C2211yescharacteristic
53#16840399—21no—
54D4×C22⋊D61C2211yescharacteristic
55#16840335—21no—
56#16840334—21no—
57#16840334—21no—
58#16840309C2211yescharacteristic, complemented
59#16840307C2211yescharacteristic
60#16840307C2211yescharacteristic, complemented
61#16840307C2211yescharacteristic, complemented
62C2×#14519776C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64C4⋊Q8×D61C2211yescharacteristic, complemented
65#16840298C2211yescharacteristic
66#16840291C2211yescharacteristic
67#16840289—21no—
68#16840272—21no—
69#16840268—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61C2211yescharacteristic
73C2×#14519737—21no—
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840121C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840091C2211yescharacteristic, complemented
87#16840091C2211yescharacteristic, complemented
88#16840090C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic, complemented
90#16840083C2211yescharacteristic, complemented
91#16840082C2211yescharacteristic, complemented
92#16840081C2211yescharacteristic, complemented
93#16840081C2211yescharacteristic, complemented
94#16840080C2211yescharacteristic, complemented
95#16840079C2211yescharacteristic, complemented
96#16840078C2211yescharacteristic, complemented
97#16840078C2211yescharacteristic, complemented
98#16840076C2211yescharacteristic
99#16840075C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840063C2211yescharacteristic, complemented
103#16840062C2211yescharacteristic, complemented
104#16840061C2211yescharacteristic, complemented
105#16840060C2211yescharacteristic, complemented
106#16840055C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840055C2211yescharacteristic, complemented
109#16840053C2211yescharacteristic, complemented
110#16840052C2211yescharacteristic
111#16840051C2211yescharacteristic, complemented
112#16840051C2211yescharacteristic, complemented
113#16840051C2211yescharacteristic, complemented
114#16840051C2211yescharacteristic, complemented
115#16840050C2211yescharacteristic
116#16840050C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840050C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840050C2211yescharacteristic, complemented
121#16840050C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic, complemented
123#16840050C2211yescharacteristic, complemented
124#16840050C2211yescharacteristic, complemented
125#16840050C2211yescharacteristic, complemented
126#16840049C2211yescharacteristic, complemented
127#16840045C2211yescharacteristic, complemented
128#16840045C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840015C2211yescharacteristic, complemented
132#16840013C2211yescharacteristic, complemented
133#16840013C2211yescharacteristic, complemented
134#16839998C2211yescharacteristic
135#16839997C2211yescharacteristic
136#16839996C2211yescharacteristic
137#16839995C2211yescharacteristic
138#16839994C2211yescharacteristic, complemented
139#16839993C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839980C2211yescharacteristic, complemented
142#16839979C2211yescharacteristic, complemented
143#16839974C2211yescharacteristic, complemented
144#16839960C2211yescharacteristic, complemented
145#16839956C2211yescharacteristic
146#16839956C2211yescharacteristic, complemented
147#16839955C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic, complemented
150#16839907C2211yescharacteristic
151#16839897C2211yescharacteristic
152#16839896C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic, complemented
157#16839874C2211yescharacteristic
158#16839874C2211yescharacteristic, complemented
159#16839872C2211yescharacteristic
160#16839872C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic
162#16839871C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164#16839847C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic
166#16839842C2211yescharacteristic
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×#14519709C2211yescharacteristic, complemented
178C2×#14519708C2211yescharacteristic, complemented
179#106×D61C2211yescharacteristic, complemented
180#106×D61C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839763C2211yescharacteristic
185C2×#14519698C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#547C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic
194C61×#469C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203#14519824—48no—
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224D411yescharacteristic
214C22×Dic122—21no—
215C22×Dic122—21no—
216C22×Dic122—21no—
217C2×Q8×D61—21no—
218C2×Q8×D61—21no—
219C22×C22⋊D61—21no—
220C2×D4×D61C2311yescharacteristic
221C23×Dic61—21no—
222C22×C4×D61—21no—
223C2×#11758201C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758194C2311yescharacteristic
229C22×#92418C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232#14519777C2311yescharacteristic
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519775—21no—
247#14519773C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519770—21no—
252#14519770—21no—
253#14519769C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519766C2311yescharacteristic
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519761—21no—
267#14519761—21no—
268#14519760—21no—
269#14519760—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759—21no—
276#14519758—21no—
277#14519758—21no—
278#14519758—21no—
279#14519757—21no—
280#14519757—21no—
281#14519756—21no—
282#14519756—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519753—21no—
295#14519753C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519751C2311yescharacteristic
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519750—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519748—21no—
309#14519748C2311yescharacteristic
310#14519748C2311yescharacteristic
311#14519746—21no—
312#14519745—21no—
313#14519745—21no—
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317#14519742D411yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61—21no—
324D4×Dic61D411yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61C2311yescharacteristic
338C4×C22⋊D61C2311yescharacteristic
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737D411yescharacteristic
350#14519737D411yescharacteristic
351#14519736—21no—
352#14519736C2311yescharacteristic
353#14519735—21no—
354#14519735D411yescharacteristic
355#14519733—21no—
356#14519733D411yescharacteristic
357#14519733D411yescharacteristic
358C2×C4⋊Dic61C2311yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×C4⋊Dic61C2311yescharacteristic
361C2×#11758196—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C22⋊Dic61—21no—
369C2×#11758198—21no—
370C22⋊C4×D61—21no—
371C2×C4×Dic61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61—21no—
437C2×#41×C61C2311yescharacteristic
438C22×D4×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446#123×C61—21no—
447#123×C61—21no—
448#123×C61—21no—
449C22⋊Q8×C61—21no—
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#120×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461C2×C22⋊C4×C61—21no—
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465C4⋊C8×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
475#102×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C24×C61—21no—
480C23×D61—21no—
481#41×C61—22no—
482#41×C61—41no—
483#41×C61—44no—
484C2×Q8×C61—21no—
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—22no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—41no—
493C2×D4×C61C2×D411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61C2411yescharacteristic
503C22×C4×C61C2411yescharacteristic
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—44no—
516C2×C22⋊D61C2×D411yescharacteristic
517C2×C22⋊D61C2×D411yescharacteristic
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—82no—
529C22×Dic61C2×D411yescharacteristic
530C22×Dic61C2×D411yescharacteristic
531C22×Dic61C2×D411yescharacteristic
532C22×Dic61C2×D411yescharacteristic
533Q8×D61—44no—
534Q8×D61—44no—
535#11758224—24no—
536#11758224—44no—
537#11758224—44no—
538#11758224—44no—
539#11758224—44no—
540#11758224—44no—
541#11758224—82no—
542D4×D61—22no—
543D4×D61—41no—
544#11758222—44no—
545#11758222—44no—
546#11758222—44no—
547C2×D244—21no—
548C2×D244C2411yescharacteristic
549C2×D244C2411yescharacteristic
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—82no—
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2411yescharacteristic
562C2×Dic122—21no—
563C2×Dic122—21no—
564C2×Dic122—21no—
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122—21no—
570C2×Dic122—21no—
571C2×Dic122—44no—
572C2×Dic122—44no—
573C2×Dic122—44no—
574C2×Dic122C2×D411yescharacteristic
575SD16×C61—41no—
576D8×C61—22no—
577D8×C61—41no—
578M16×C61—41no—
579C2×C8×C61—41no—
580C2×C8×C61C2411yescharacteristic
581C2×C8×C61C2411yescharacteristic
582C2×C8×C61C2411yescharacteristic
583C2×C8×C61C2411yescharacteristic
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61C2×D411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61C2×D411yescharacteristic
602C22⋊C4×C61C2×D411yescharacteristic
603C42×C61C2411yescharacteristic
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616#11758201—41no—
617#11758199—22no—
618#11758199—41no—
619#11758199—41no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648C4⋊Dic61C2411yescharacteristic
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2×D411yescharacteristic
677C4×Dic61C2411yescharacteristic
678C4×Dic61C2411yescharacteristic
679C4×Dic61C2411yescharacteristic
680#11758194—41no—
681C2×#92418—41no—
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686D488—41no—
687C8×D61—41no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—42no—
693C23×C61—42no—
694C23×C61—81no—
695C23×C61C22×D411yescharacteristic
696C23×C61C22×D411yescharacteristic
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—42no—
700C22×D61—42no—
701C22×D61—81no—
702C22×D61C22×D411yescharacteristic
703Q8×C61—21no—
704Q8×C61—21no—
705Q8×C61—42no—
706D4×C61—22no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—42no—
713D4×C61—42no—
714D4×C61—42no—
715D4×C61—42no—
716D4×C61—81no—
717D4×C612−1+412yescomplemented
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—42no—
728C2×C4×C61—42no—
729C2×C4×C61—42no—
730C2×C4×C61—42no—
731C2×C4×C61—81no—
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C2511yescharacteristic
737C22⋊D61—22no—
738C22⋊D61—42no—
739C22⋊D61—42no—
740C22⋊D61—42no—
741C22⋊D61—42no—
742C22⋊D61—42no—
743C22⋊D61—42no—
744C22⋊D61—42no—
745C22⋊D61—42no—
746C22⋊D61—42no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61AGL(1,ℤ/8)14yes—
750C2×Dic61—22no—
751C2×Dic61—22no—
752C2×Dic61—22no—
753C2×Dic61—22no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—42no—
761C2×Dic61—42no—
762C2×Dic61—42no—
763C2×Dic61—42no—
764C2×Dic61—42no—
765C2×Dic61—42no—
766C2×Dic61—42no—
767C2×Dic61—81no—
768C2×Dic61—81no—
769C2×Dic61—81no—
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777D244—21no—
778D244—21no—
779D244—21no—
780D244—21no—
781D244—42no—
782C4×D61—22no—
783C4×D61—21no—
784C4×D61—21no—
785C4×D61—22no—
786C4×D61—42no—
787C4×D61—42no—
788C4×D61—42no—
789C4×D61—42no—
790C4×D61—42no—
791C4×D61—42no—
792C4×D61—81no—
793C4×D61—81no—
794Dic122—22no—
795Dic122—42no—
796Dic122—42no—
797Dic122—42no—
798Dic122—42no—
799Dic122—42no—
800Dic122—42no—
801Dic122—42no—
802Dic122—42no—
803Dic122—81no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807C8×C61—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#92418—21no—
812#62128—611nomaximal, Sylow
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—22no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—21no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—84no—
828C22×C61C2×AGL(1,ℤ/8)12yes—
829C22×C61C23×D411yescharacteristic
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—84no—
839C2×D61C2×AGL(1,ℤ/8)12yes—
840C4×C61—21no—
841C4×C61—21no—
842C4×C61—21no—
843C4×C61—21no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61C2×2−1+411yescharacteristic
850C4×C61#58511yescharacteristic
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
854Dic61—21no—
855Dic61—21no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61C2×AGL(1,ℤ/8)12yes—
863Dic61#57712yes—
864#3499—611no—
865#3481—611no—
866#3384—611no—
867#3384—611no—
868#3373—611no—
869#3373—611no—
870#3345—611no—
871#3345—611no—
872#3345—611no—
873#3345—611no—
874#3335—611no—
875#3335—611no—
876#3306—611no—
877#3306—611no—
878#3306—611no—
879#3306D6111yescharacteristic, complemented
880#3294—611no—
881#3294—611no—
882#3253—611no—
883#3247—611no—
884#3247—611no—
885#3238—611no—
886#3238—611no—
887#3227—611no—
888#3109—611no—
889#3109—611no—
890#3106—611no—
891#3079—611no—
892C2×#476—611no—
893C2×#476—611no—
894#2990—611no—
895C2×C61—22no—
896C2×C61—42no—
897C2×C61—41no—
898C2×C61—81no—
899C2×C61—81no—
900C2×C61#348911yescharacteristic
901C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
902C2×C61C2×#57711yescharacteristic
903D61—22no—
904D61—81no—
905D61—81no—
906C2×2−1+4—1221no—
907#559—611no—
908#554—611no—
909#554—611no—
910#553—611no—
911#553—611no—
912#553—1221no—
913#551—1221no—
914#551—1221no—
915D4×Q8—611no—
916D4×Q8—611no—
917D4×Q8—1221no—
918#547—611no—
919#547—611no—
920#547—611no—
921#547—611no—
922#547—611no—
923#547—1221no—
924#547—1221no—
925#547—1221no—
926#547C2×D6111yescharacteristic, complemented
927#546—611no—
928#546—1221no—
929#546C2×D6111yescharacteristic
930D42—611no—
931#536—1221no—
932#536—1221no—
933#536—1221no—
934#532—611no—
935#532—611no—
936#532—611no—
937#532—611no—
938C2×C4⋊Q8—611no—
939C2×C4⋊Q8—611no—
940C2×C4⋊Q8—611no—
941#529—611no—
942#529—611no—
943#529—1221no—
944#525—1221no—
945#525—1221no—
946C4×#41—611no—
947C4×#41—611no—
948C2×C4×D4—611no—
949C2×C4×D4—611no—
950C2×C4×D4—1221no—
951#501—611no—
952#501—611no—
953#501—611no—
954#501—611no—
955#498—611no—
956#498—611no—
957#489—611no—
958#489—611no—
959#489—611no—
960#489C2×D6111yescharacteristic, complemented
961#486—611no—
962#486—611no—
963#483—611no—
964#483—611no—
965#483—611no—
966#483C2×D6111yescharacteristic, complemented
967#482—611no—
968#482—611no—
969#481—611no—
970#481—611no—
971#481—611no—
972#481—611no—
973#481—611no—
974#481—611no—
975#481—611no—
976#481C2×D6111yescharacteristic, complemented
977#480—611no—
978#480—611no—
979#480—611no—
980#480—611no—
981#478—611no—
982#478—611no—
983#478—611no—
984#478—611no—
985#477—611no—
986#477—611no—
987#477—611no—
988#476—611no—
989#476—611no—
990#476—611no—
991#476—611no—
992#476—611no—
993#476—611no—
994#476—611no—
995#476—611no—
996#476—611no—
997#476—611no—
998#476—611no—
999#476—611no—
1000#476—611no—
1001#476—611no—
1002#476—611no—
1003#476—611no—
1004#476—611no—
1005#476—611no—
1006#476C2×D6111yescharacteristic
1007#475—611no—
1008#475—611no—
1009#474—611no—
1010#474—611no—
1011#469—611no—
1012#469—611no—
1013#469—611no—
1014#469C2×D6111yescharacteristic, complemented
1015#466—611no—
1016#466—611no—
1017#466—611no—
1018#466—611no—
1019#465—611no—
1020#465—611no—
1021#465—611no—
1022#465C2×D6111yescharacteristic, complemented
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463C2×D6111yescharacteristic, complemented
1027#460—611no—
1028#459—611no—
1029#459—611no—
1030#459—611no—
1031#459—611no—
1032#459—611no—
1033#449—611no—
1034#449C2×D6111yescharacteristic
1035#447—611no—
1036#447—611no—
1037#447—611no—
1038#447C2×D6111yescharacteristic
1039#446—611no—
1040#446—611no—
1041#442—611no—
1042#442—611no—
1043#442—611no—
1044#442—611no—
1045#442—611no—
1046#442—611no—
1047#442—611no—
1048#442C2×D6111yescharacteristic
1049C4×SD16—611no—
1050C4×SD16—611no—
1051C4×D8—611no—
1052C4×D8—611no—
1053#435—611no—
1054#435—611no—
1055#435—611no—
1056#435C2×D6111yescharacteristic, complemented
1057C8×D4—611no—
1058C8×D4—611no—
1059#432—611no—
1060#432—611no—
1061#431—611no—
1062#428—611no—
1063#428—611no—
1064C2×#106—611no—
1065C2×#106—611no—
1066C2×#106—611no—
1067C2×#106—611no—
1068#423—611no—
1069C2×C4⋊C8—611no—
1070C2×C4⋊C8—611no—
1071#417—611no—
1072#417C2×D6111yescharacteristic
1073C2×#102—611no—
1074C2×#102—611no—
1075C2×#102—611no—
1076C2×#102C2×D6111yescharacteristic
1077C61#6212811yescharacteristic, complemented, Sylow
10782−1+4—2448no—
1079C2×#41—21no—
1080C2×#41—611no—
1081C2×#41—1221no—
1082C2×#41—1221no—
1083C2×#41—1221no—
1084C2×#41—1221no—
1085C2×#41—1221no—
1086C2×#41—1221no—
1087C2×#41—1221no—
1088C2×#41—1221no—
1089C2×#41—1221no—
1090C2×#41C22×D6111yescharacteristic
1091C22×Q8—1221no—
1092C22×Q8—1221no—
1093C22×Q8—1221no—
1094C22×Q8—1221no—
1095C22×Q8—1221no—
1096C22×D4—611no—
1097C22×D4—1221no—
1098C22×D4C22×D6111yescharacteristic
1099C23×C4—1221no—
1100C23×C4—1221no—
1101C2×SD16—611no—
1102C2×SD16C22×D6111yescharacteristic
1103C2×D8—611no—
1104C2×D8—611no—
1105C2×D8—611no—
1106C2×D8—611no—
1107C2×D8C22×D6111yescharacteristic
1108C2×D8C22×D6111yescharacteristic
1109C2×M16—611no—
1110C2×M16C22×D6111yescharacteristic
1111C22×C8—611no—
1112C22×C8—611no—
1113C22×C8—611no—
1114C22×C8C22×D6111yescharacteristic
1115C4⋊Q8—611no—
1116C4⋊Q8—611no—
1117C4⋊Q8—611no—
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—611no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8—1221no—
1128C4⋊Q8—1221no—
1129C4⋊Q8—1221no—
1130C4⋊Q8C22×D6111yescharacteristic
1131#127—611no—
1132#127—611no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#125—611no—
1138#125—611no—
1139#125—1221no—
1140#124—611no—
1141#124—1221no—
1142#124—1221no—
1143#124—1221no—
1144#124—1221no—
1145#124—1221no—
1146#124C22×D6111yescharacteristic
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153#123—1221no—
1154#123—1221no—
1155#123—1221no—
1156#123—1221no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162#123—1221no—
1163#123—1221no—
1164#123—1221no—
1165#123—1221no—
1166#123—1221no—
1167C22⋊Q8—21no—
1168C22⋊Q8—611no—
1169C22⋊Q8—1221no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8—1221no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8—1221no—
1176C22⋊Q8—1221no—
1177C22⋊Q8—1221no—
1178C22⋊Q8—1221no—
1179C22⋊Q8—1221no—
1180C22⋊Q8—1221no—
1181C22⋊Q8—1221no—
1182C22⋊Q8—1221no—
1183C22⋊Q8—1221no—
1184C22⋊Q8—1221no—
1185C22⋊Q8C22×D6111yescharacteristic
1186#121—21no—
1187#121—611no—
1188#121—611no—
1189#121—611no—
1190#121—611no—
1191#121—611no—
1192#121—611no—
1193#121—611no—
1194#121—1221no—
1195#121—1221no—
1196#121—1221no—
1197#121—1221no—
1198#121—1221no—
1199#121—1221no—
1200#121—1221no—
1201#121—1221no—
1202#121C22×D6111yescharacteristic
1203#121C22×D6111yescharacteristic
1204#121C22×D6111yescharacteristic
1205#120—21no—
1206#120—1221no—
1207#120—1221no—
1208#120—1221no—
1209C4×Q8—611no—
1210C4×Q8—611no—
1211C4×Q8—611no—
1212C4×Q8—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—611no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4—1221no—
1238C4×D4—1221no—
1239C4×D4—1221no—
1240C4×D4—1221no—
1241C4×D4—1221no—
1242C4×D4—1221no—
1243C4×D4—1221no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4C22×D6111yescharacteristic
1247C4×D4C22×D6111yescharacteristic
1248C4×D4C22×D6111yescharacteristic
1249#117—611no—
1250#117—611no—
1251#117—611no—
1252#117—611no—
1253#117—1221no—
1254#117—1221no—
1255#117—1221no—
1256C2×C4⋊C4—611no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4—611no—
1260C2×C4⋊C4—611no—
1261C2×C4⋊C4—611no—
1262C2×C4⋊C4—1221no—
1263C2×C4⋊C4—1221no—
1264C2×C4⋊C4—1221no—
1265C2×C4⋊C4—1221no—
1266C2×C4⋊C4C22×D6111yescharacteristic
1267C2×C4⋊C4C22×D6111yescharacteristic
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—1221no—
1270C2×C22⋊C4—1221no—
1271C2×C22⋊C4—1221no—
1272C2×C42—611no—
1273C2×C42—611no—
1274C2×C42—611no—
1275C2×C42—1221no—
1276#107—611no—
1277#107—611no—
1278#107—611no—
1279#107—611no—
1280#107—611no—
1281#107—611no—
1282#106—611no—
1283#106—611no—
1284#106—611no—
1285#106—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106—611no—
1295#106—611no—
1296#106—611no—
1297#106C22×D6111yescharacteristic
1298#106C22×D6111yescharacteristic
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103C22×D6111yescharacteristic
1314#103C22×D6111yescharacteristic
1315#103C22×D6111yescharacteristic
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102C22×D6111yescharacteristic
1336#102C22×D6111yescharacteristic
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—21no—
1355C24—1221no—
1356#41—22no—
1357#41—41no—
1358#41—44no—
1359#41—1224no—
1360#41—4882no—
1361#41—2444no—
1362#41—2444no—
1363#41—2444no—
1364#41—2444no—
1365#41—2444no—
1366#41—2444no—
1367#41—2444no—
1368#41—2444no—
1369C2×Q8—21no—
1370C2×Q8—611no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1221no—
1376C2×Q8—1221no—
1377C2×Q8—1221no—
1378C2×Q8—1221no—
1379C2×Q8—1221no—
1380C2×Q8—2444no—
1381C2×Q8—2444no—
1382C2×Q8—2444no—
1383C2×Q8—2444no—
1384C2×Q8—2444no—
1385C2×Q8C23×D6111yescharacteristic
1386C2×D4—22no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—41no—
1393C2×D4—611no—
1394C2×D4—611no—
1395C2×D4—611no—
1396C2×D4—611no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1222no—
1404C2×D4—1221no—
1405C2×D4—1221no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—2441no—
1411C2×D4—2444no—
1412C2×D4D4×D6111yescharacteristic
1413C2×D4C23×D6111yescharacteristic
1414C2×D4C23×D6111yescharacteristic
1415C2×D4C23×D6111yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—611no—
1422C22×C4—611no—
1423C22×C4—611no—
1424C22×C4—611no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—611no—
1428C22×C4—1221no—
1429C22×C4—1221no—
1430C22×C4—1221no—
1431C22×C4—1221no—
1432C22×C4—1221no—
1433C22×C4—1221no—
1434C22×C4—1221no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—1221no—
1438C22×C4—1221no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—4882no—
1447C22×C4—4882no—
1448C22×C4C23×D6111yescharacteristic
1449C22×C4C23×D6111yescharacteristic
1450SD16—41no—
1451SD16—2441no—
1452D8—22no—
1453D8—41no—
1454D8—1222no—
1455D8—2441no—
1456D8—2441no—
1457D8—2441no—
1458M16—41no—
1459M16—2441no—
1460C2×C8—41no—
1461C2×C8—611no—
1462C2×C8—611no—
1463C2×C8—611no—
1464C2×C8—611no—
1465C2×C8—2441no—
1466C2×C8—2441no—
1467C2×C8—2441no—
1468C2×C8C23×D6111yescharacteristic
1469C2×C8C23×D6111yescharacteristic
1470C2×C8C23×D6111yescharacteristic
1471C2×C8C23×D6111yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—611no—
1484C4⋊C4—611no—
1485C4⋊C4—611no—
1486C4⋊C4—611no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4D4×D6111yescharacteristic
1510C4⋊C4C23×D6111yescharacteristic
1511C4⋊C4C23×D6111yescharacteristic
1512C4⋊C4C23×D6111yescharacteristic
1513C4⋊C4C23×D6111yescharacteristic
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4D4×D6111yescharacteristic
1550C22⋊C4D4×D6111yescharacteristic
1551C42—611no—
1552C42—611no—
1553C42—611no—
1554C42—611no—
1555C42—611no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—611no—
1571C23—1221no—
1572C23—1221no—
1573C23—4881no—
1574C23—2442no—
1575C23—2442no—
1576C23C2×D4×D6111yescharacteristic
1577C23C2×D4×D6111yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—42no—
1581Q8—1222no—
1582Q8—4881no—
1583Q8—2442no—
1584Q8—2442no—
1585Q8—2442no—
1586Q8—2442no—
1587Q8—2442no—
1588Q8—2442no—
1589Q8—2442no—
1590Q8—2442no—
1591D4—22no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—42no—
1601D4—81no—
1602D4—614no—
1603D4—1222no—
1604D4—1221no—
1605D4—1221no—
1606D4—1221no—
1607D4—1221no—
1608D4—4881no—
1609D4—4881no—
1610D4—2442no—
1611D4—2442no—
1612D4—2442no—
1613D4—2442no—
1614D4—2442no—
1615D4—2442no—
1616D4—2442no—
1617D4—2442no—
1618D4—2442no—
1619D4—2442no—
1620D4#1451982412yescomplemented
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—81no—
1635C2×C4—611no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—1222no—
1643C2×C4—1222no—
1644C2×C4—1222no—
1645C2×C4—1222no—
1646C2×C4—1222no—
1647C2×C4—1222no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—2442no—
1662C2×C4—2442no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4—2442no—
1668C2×C4—2442no—
1669C2×C4—2442no—
1670C2×C4—2442no—
1671C2×C4—2442no—
1672C2×C4—2442no—
1673C2×C4—2442no—
1674C2×C4C2×D4×D6111yescharacteristic
1675C2×C4C2×D4×D6111yescharacteristic
1676C2×C4C2×D4×D6111yescharacteristic
1677C2×C4C2×D4×D6111yescharacteristic
1678C2×C4C24×D6111yescharacteristic
1679C8—21no—
1680C8—21no—
1681C8—21no—
1682C8—21no—
1683C8—1221no—
1684C8—1221no—
1685C8—1221no—
1686C8—1221no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—22no—
1691C22—21no—
1692C22—21no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—84no—
1702C22—612no—
1703C22—1221no—
1704C22—1221no—
1705C22—4884no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22AGL(1,ℤ/8)×D6112yes—
1713C22C22×D4×D6111yescharacteristic
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—612no—
1724C4—612no—
1725C4—1221no—
1726C4—1221no—
1727C4—1221no—
1728C4—1221no—
1729C4—1221no—
1730C4—2441no—
1731C4—2441no—
1732C4—2441no—
1733C4—2441no—
1734C4—2441no—
1735C4—2441no—
1736C4C2×#1451982411yescharacteristic
1737C4#1684059711yescharacteristic
1738C2—22no—
1739C2—41no—
1740C2—42no—
1741C2—81no—
1742C2—81no—
1743C2—1222no—
1744C2—4881no—
1745C2—4881no—
1746C2#2145949011yescharacteristic
1747C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1748C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3306C2
socleC22×C61C23×D4
hypercenter#3306D61
hypocenterC61#62128
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21459598C2semidirect
2. #21459424C2semidirect
3. #21458719C2semidirect
4. #21458713C2semidirect
5. #21458608C2semidirect
6. #21458606C2semidirect
7. #21458291C2semidirect
8. #21458289C2semidirect
9. #21458284C2semidirect
10. #21458282C2semidirect
11. #21458171C2semidirect
12. #21458169C2semidirect
13. #21457781C2semidirect
14. #21457780C2semidirect
15. #21457773C2semidirect
16. #21457628C2semidirect
17. #21457625C2semidirect
18. #21457196C2semidirect
19. #21457142C2semidirect
20. #21457140C2semidirect
21. #21457043C2semidirect
22. #21457036C2semidirect
23. #21456945C2semidirect
24. #21455908C2semidirect
25. #21455905C2semidirect
26. #21455872C2semidirect
27. #21455630C2semidirect
28. C2×#16840050C2semidirect
29. #476×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3306C2semidirect
41. D4×Dic122C22semidirect
42. #16840427C22semidirect
44. #16840416C22semidirect
46. #16840413C22semidirect
48. #16840412C22semidirect
58. #16840309C22semidirect
60. #16840307C22semidirect
61. #16840307C22semidirect
62. C2×#14519776C22semidirect
63. C2×#14519776C22semidirect
64. C4⋊Q8×D61C22semidirect
75. #16840171C22semidirect
76. #16840169C22semidirect
77. #16840169C22semidirect
78. #16840168C22semidirect
79. #16840159C22semidirect
80. #16840159C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840121C22semidirect
86. #16840091C22semidirect
87. #16840091C22semidirect
88. #16840090C22semidirect
89. #16840087C22semidirect
90. #16840083C22semidirect
91. #16840082C22semidirect
92. #16840081C22semidirect
93. #16840081C22semidirect
94. #16840080C22semidirect
95. #16840079C22semidirect
96. #16840078C22semidirect
97. #16840078C22semidirect
102. #16840063C22semidirect
103. #16840062C22semidirect
104. #16840061C22semidirect
105. #16840060C22semidirect
106. #16840055C22semidirect
107. #16840055C22semidirect
108. #16840055C22semidirect
109. #16840053C22semidirect
111. #16840051C22semidirect
112. #16840051C22semidirect
113. #16840051C22semidirect
114. #16840051C22semidirect
120. #16840050C22semidirect
121. #16840050C22semidirect
122. #16840050C22semidirect
123. #16840050C22semidirect
124. #16840050C22semidirect
125. #16840050C22semidirect
126. #16840049C22semidirect
127. #16840045C22semidirect
128. #16840045C22semidirect
131. #16840015C22semidirect
132. #16840013C22semidirect
133. #16840013C22semidirect
138. #16839994C22semidirect
139. #16839993C22semidirect
140. #16839988C22semidirect
141. #16839980C22semidirect
142. #16839979C22semidirect
143. #16839974C22semidirect
144. #16839960C22semidirect
146. #16839956C22semidirect
149. #16839955C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839875C22semidirect
158. #16839874C22semidirect
160. #16839872C22semidirect
162. #16839871C22semidirect
163. SD16×Dic61C22semidirect
164. #16839847C22semidirect
167. #16839836C22semidirect
168. #16839834C22semidirect
169. #16839831C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839804C22semidirect
176. #16839802C22semidirect
177. C2×#14519709C22semidirect
178. C2×#14519708C22semidirect
179. #106×D61C22semidirect
180. #106×D61C22semidirect
181. #16839785C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
188. C61×#547C22semidirect
190. C61×#489C22semidirect
191. C61×#483C22semidirect
192. C61×#481C22semidirect
194. C61×#469C22semidirect
195. C61×#465C22semidirect
196. C61×#463C22semidirect
200. C61×#435C22semidirect
717. D4×C612−1+4semidirect
879. #3306D61semidirect
926. #547C2×D61semidirect
960. #489C2×D61semidirect
966. #483C2×D61semidirect
976. #481C2×D61semidirect
1014. #469C2×D61semidirect
1022. #465C2×D61semidirect
1026. #463C2×D61semidirect
1056. #435C2×D61semidirect
1077. C61#62128semidirect
1620. D4#14519824semidirect

Maximal subgroups

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

subgroupindex
#214595982
#214594242
#214587192
#214587132
#214586082
#214586062
#214582912
#214582892
#214582842
#214582822
#214581712
#214581692
#214577812
#214577802
#214577732
#214576282
#214576252
#214571962
#214571422
#214571402
#214570432
#214570362
#214569452
#214559082
#214559052
#214558722
#214556302
C2×#168400502
#476×D612
#214549392
C61×#33062
#6212861