Finite Group Databasebeta

← #30562720

Subgroups — #30562720

Order 15616.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459891C211yesmaximal, characteristic, complemented
2#21458803C211yesmaximal, characteristic, complemented
3#21458682C211yesmaximal, characteristic, complemented
4#21458646C211yesmaximal, characteristic, complemented
5#21458640C211yesmaximal, characteristic, complemented
6#21458245C211yesmaximal, characteristic, complemented
7#21458215C211yesmaximal, characteristic, complemented
8#21458181C211yesmaximal, characteristic, complemented
9#21458035C211yesmaximal, characteristic, complemented
10#21458029C211yesmaximal, characteristic, complemented
11#21457855C211yesmaximal, characteristic, complemented
12#21457849C211yesmaximal, characteristic, complemented
13#21457795C211yesmaximal, characteristic, complemented
14#21457789C211yesmaximal, characteristic, complemented
15#21457537C211yesmaximal, characteristic, complemented
16#21457500C211yesmaximal, characteristic, complemented
17#21457500C211yesmaximal, characteristic, complemented
18#21456472C211yesmaximal, characteristic, complemented
19#21456452C211yesmaximal, characteristic, complemented
20#21456383C211yesmaximal, characteristic, complemented
21#21456096C211yesmaximal, characteristic, complemented
22#21456090C211yesmaximal, characteristic, complemented
23#21456071C211yesmaximal, characteristic, complemented
24#21456066C211yesmaximal, characteristic, complemented
25#21455928C211yesmaximal, characteristic, complemented
26#21455922C211yesmaximal, characteristic, complemented
27#21454795C211yesmaximal, characteristic, complemented
28#21454692C211yesmaximal, characteristic, complemented
29#21454669C211yesmaximal, characteristic, complemented
30C4×#14519797C211yesmaximal, characteristic, complemented
31C61×#3521C211yesmaximal, characteristic, complemented
32C2×#14519797C2211yescharacteristic
33C2×#14519797C2211yescharacteristic
34C22×#11758199C2211yescharacteristic
35#16840485C2211yescharacteristic, complemented
36#16840482C2211yescharacteristic
37#16840472C2211yescharacteristic, complemented
38#16840458C2211yescharacteristic, complemented
39#16840457—21no—
40#16840452C2211yescharacteristic
41#16840444—21no—
42#16840442—21no—
43#16840440—21no—
44#16840417C2211yescharacteristic, complemented
45#16840408C2211yescharacteristic
46#16840408C2211yescharacteristic
47#16840383C2211yescharacteristic, complemented
48#16840374C2211yescharacteristic
49#16840358—21no—
50#16840344—21no—
51#16840296C2211yescharacteristic, complemented
52#16840295—21no—
53#126×D61—21no—
54#16840242C2211yescharacteristic, complemented
55#16840236C2211yescharacteristic
56C4×#11758222C2211yescharacteristic, complemented
57#16840165C2211yescharacteristic, complemented
58#16840161C2211yescharacteristic, complemented
59#16840161C2211yescharacteristic, complemented
60#16840144C2211yescharacteristic
61#16840144C2211yescharacteristic
62#16840141C2211yescharacteristic, complemented
63#16840132C2211yescharacteristic, complemented
64#16840130C2211yescharacteristic, complemented
65#16840124C2211yescharacteristic, complemented
66#16840121C2211yescharacteristic, complemented
67#16840119C2211yescharacteristic, complemented
68#16840116C2211yescharacteristic, complemented
69#16840103C2211yescharacteristic
70#16840103C2211yescharacteristic
71#16840103C2211yescharacteristic, complemented
72#16840100C2211yescharacteristic
73#16840100C2211yescharacteristic
74#16840100C2211yescharacteristic, complemented
75#16840092C2211yescharacteristic, complemented
76#16840090C2211yescharacteristic, complemented
77#16840086C2211yescharacteristic, complemented
78#16840083C2211yescharacteristic, complemented
79#16840080C2211yescharacteristic, complemented
80#16840078C2211yescharacteristic, complemented
81#16840069C2211yescharacteristic, complemented
82#16840066C2211yescharacteristic, complemented
83#16840062C2211yescharacteristic, complemented
84#16840062C2211yescharacteristic, complemented
85#16840062C2211yescharacteristic, complemented
86#16840059C2211yescharacteristic, complemented
87#16840059C2211yescharacteristic, complemented
88#16840059C2211yescharacteristic, complemented
89#16840052C2211yescharacteristic, complemented
90#16840049C2211yescharacteristic, complemented
91#16840047C2211yescharacteristic, complemented
92#16840044C2211yescharacteristic, complemented
93#16840018C2211yescharacteristic
94#16840018C2211yescharacteristic
95#16840010C2211yescharacteristic, complemented
96#16840006C2211yescharacteristic, complemented
97#16840001C2211yescharacteristic
98#16840001C2211yescharacteristic
99#16840001C2211yescharacteristic, complemented
100#16840001C2211yescharacteristic, complemented
101#16839996C2211yescharacteristic
102#16839996C2211yescharacteristic
103#16839993C2211yescharacteristic, complemented
104#16839989C2211yescharacteristic, complemented
105#16839984C2211yescharacteristic, complemented
106#16839984C2211yescharacteristic, complemented
107#16839981C2211yescharacteristic, complemented
108#16839981C2211yescharacteristic, complemented
109#16839977C2211yescharacteristic
110#16839977C2211yescharacteristic
111#16839974C2211yescharacteristic
112#16839974C2211yescharacteristic
113#16839967C2211yescharacteristic, complemented
114#16839967C2211yescharacteristic, complemented
115#16839964C2211yescharacteristic, complemented
116#16839964C2211yescharacteristic, complemented
117#16839924C2211yescharacteristic, complemented
118#16839924C2211yescharacteristic, complemented
119#16839922C2211yescharacteristic, complemented
120#16839922C2211yescharacteristic, complemented
121#16839913C2211yescharacteristic
122#16839913C2211yescharacteristic
123#16839912C2211yescharacteristic
124#16839912C2211yescharacteristic
125#16839907C2211yescharacteristic
126#16839907C2211yescharacteristic
127#16839905C2211yescharacteristic
128#16839905C2211yescharacteristic
129#16839893C2211yescharacteristic, complemented
130Q8×#92418C2211yescharacteristic, complemented
131#16839872C2211yescharacteristic
132#16839872C2211yescharacteristic
133#16839872C2211yescharacteristic
134#16839872C2211yescharacteristic
135#16839867C2211yescharacteristic, complemented
136#16839867C2211yescharacteristic, complemented
137#16839862C2211yescharacteristic, complemented
138#16839862C2211yescharacteristic, complemented
139#16839862C2211yescharacteristic, complemented
140#16839860C2211yescharacteristic, complemented
141#16839860C2211yescharacteristic, complemented
142#16839860C2211yescharacteristic, complemented
143C4×#11758202C2211yescharacteristic, complemented
144C4×#11758202C2211yescharacteristic, complemented
145C4×#11758202C2211yescharacteristic, complemented
146C4×#11758202C2211yescharacteristic, complemented
147C4×#11758201C2211yescharacteristic, complemented
148C4×#11758201C2211yescharacteristic, complemented
149C4×#11758201C2211yescharacteristic, complemented
150C4×#11758200C2211yescharacteristic, complemented
151C4×#11758200C2211yescharacteristic, complemented
152C4×#11758200C2211yescharacteristic, complemented
153C4×#11758199C2211yescharacteristic
154C4×#11758199C2211yescharacteristic
155C4×#11758199C2211yescharacteristic
156C4×#11758199C2211yescharacteristic
157C4×#11758199C2211yescharacteristic
158C4×#11758199C2211yescharacteristic
159#16839840C2211yescharacteristic
160#16839834C2211yescharacteristic
161#16839834C2211yescharacteristic, complemented
162D4×#92418C2211yescharacteristic
163D4×#92418C2211yescharacteristic
164D4×#92418C2211yescharacteristic, complemented
165#16839823C2211yescharacteristic
166#16839823C2211yescharacteristic, complemented
167#16839819C2211yescharacteristic, complemented
168#16839798C2211yescharacteristic
169#16839798C2211yescharacteristic, complemented
170C2×#14519710C2211yescharacteristic, complemented
171#16839767C2211yescharacteristic
172#16839766C2211yescharacteristic
173#16839763C2211yescharacteristic, complemented
174#16839761C2211yescharacteristic, complemented
175#16839758C2211yescharacteristic, complemented
176#16839756C2211yescharacteristic, complemented
177#16839718C2211yescharacteristic
178#16839718C2211yescharacteristic, complemented
179C2×C4×#92418C2211yescharacteristic, complemented
180C61×#556C2211yescharacteristic
181C61×#556C2211yescharacteristic, complemented
182C61×#554C2211yescharacteristic, complemented
183C61×#553—21no—
184C61×#553C2211yescharacteristic, complemented
185C61×#552—21no—
186C61×#552C2211yescharacteristic
187C61×#551—21no—
188C61×#551—21no—
189C61×#547C2211yescharacteristic, complemented
190C61×#546C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#542C2211yescharacteristic, complemented
193C61×#541C2211yescharacteristic
194C61×#539—21no—
195C61×#538—21no—
196C61×#529—21no—
197C61×#529C2211yescharacteristic
198C61×#529C2211yescharacteristic, complemented
199C2×#126×C61—21no—
200C61×#520C2211yescharacteristic, complemented
201C61×#518C2211yescharacteristic
202C4×#41×C61C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C22×D244C2311yescharacteristic
206#14519797—24no—
207#14519797—24no—
208C2×#11758202C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758199—24no—
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758194C2311yescharacteristic
226C2×#11758194C2311yescharacteristic
227C22×#92418C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229C22×#92418C2311yescharacteristic
230C22×#92418C2311yescharacteristic
231#14519777C2311yescharacteristic
232#14519777C2311yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519771—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519765C2311yescharacteristic
249#14519765C2311yescharacteristic
250#14519764—21no—
251#14519763—21no—
252#14519762—21no—
253#14519762—21no—
254#14519760—21no—
255#14519759—21no—
256#14519759—21no—
257#14519759—21no—
258#14519759—21no—
259#14519758—21no—
260#14519756C2311yescharacteristic
261#14519756C2311yescharacteristic
262#14519756C2311yescharacteristic
263#14519756C2311yescharacteristic
264#14519755—21no—
265#14519755—21no—
266#14519755—21no—
267#14519753—21no—
268#14519753—21no—
269#14519751C2311yescharacteristic
270#14519751C2311yescharacteristic
271#14519750—21no—
272#14519750—21no—
273#14519749—21no—
274#14519748—21no—
275#14519745—21no—
276#14519745—21no—
277C4×Dic122C2311yescharacteristic
278C4×Dic122C2311yescharacteristic
279C4×Dic122C2311yescharacteristic
280C4×Dic122C2311yescharacteristic
281#14519742—21no—
282C4×D244C2311yescharacteristic
283C4×D244C2311yescharacteristic
284C4×D244C2311yescharacteristic
285C4×D244C2311yescharacteristic
286C4×D244C2311yescharacteristic
287C4×D244C2311yescharacteristic
288#14519739—21no—
289#14519739—21no—
290C4×C22⋊D61—21no—
291C4×C22⋊D61—21no—
292C4×C22⋊D61—21no—
293#14519737—21no—
294#14519737—21no—
295#14519737—21no—
296#14519736C2311yescharacteristic
297#14519736C2311yescharacteristic
298#14519735—21no—
299#14519735—21no—
300#14519734—21no—
301#14519734—21no—
302#14519733—21no—
303C2×C4⋊Dic61C2311yescharacteristic
304C4⋊C4×D61—21no—
305C4⋊C4×D61—21no—
306C4⋊C4×D61—21no—
307C22⋊C4×D61—21no—
308C22⋊C4×D61—21no—
309C22⋊C4×D61—21no—
310C22⋊C4×D61—21no—
311C42×D61—21no—
312#14519710C2311yescharacteristic
313#14519710C2311yescharacteristic
314#14519710C2311yescharacteristic
315#14519710C2311yescharacteristic
316#14519710C2311yescharacteristic
317#14519710C2311yescharacteristic
318#14519710C2311yescharacteristic
319#14519710C2311yescharacteristic
320#14519708C2311yescharacteristic
321#14519708C2311yescharacteristic
322#14519708C2311yescharacteristic
323#14519708C2311yescharacteristic
324#14519708C2311yescharacteristic
325#14519708C2311yescharacteristic
326#14519708C2311yescharacteristic
327#14519708C2311yescharacteristic
328C4⋊#92418C2311yescharacteristic
329C4⋊#92418C2311yescharacteristic
330C4⋊#92418C2311yescharacteristic
331C4⋊#92418C2311yescharacteristic
332C4⋊#92418C2311yescharacteristic
333C4⋊#92418C2311yescharacteristic
334#14519701C2311yescharacteristic
335#14519701C2311yescharacteristic
336#14519701C2311yescharacteristic
337#14519701C2311yescharacteristic
338#14519701C2311yescharacteristic
339#14519701C2311yescharacteristic
340#14519701C2311yescharacteristic
341#14519701C2311yescharacteristic
342#14519700C2311yescharacteristic
343#14519700C2311yescharacteristic
344#14519700C2311yescharacteristic
345#14519700C2311yescharacteristic
346#14519700C2311yescharacteristic
347#14519700C2311yescharacteristic
348#14519700C2311yescharacteristic
349#14519700C2311yescharacteristic
350#14519698C2311yescharacteristic
351#14519698C2311yescharacteristic
352#14519698C2311yescharacteristic
353#14519698C2311yescharacteristic
354#14519698C2311yescharacteristic
355#14519698C2311yescharacteristic
356#14519698C2311yescharacteristic
357#14519698C2311yescharacteristic
358#14519697C2311yescharacteristic
359#14519697C2311yescharacteristic
360#14519697C2311yescharacteristic
361#14519697C2311yescharacteristic
362#14519697C2311yescharacteristic
363#14519697C2311yescharacteristic
364#14519697C2311yescharacteristic
365#14519697C2311yescharacteristic
366C22⋊#92418C2311yescharacteristic
367C22⋊#92418C2311yescharacteristic
368C22⋊#92418C2311yescharacteristic
369C22⋊#92418C2311yescharacteristic
370C22⋊#92418C2311yescharacteristic
371C22⋊#92418C2311yescharacteristic
372#14519688C2311yescharacteristic
373#14519688C2311yescharacteristic
374#14519688C2311yescharacteristic
375#14519688C2311yescharacteristic
376C4×#92418C2311yescharacteristic
377C4×#92418C2311yescharacteristic
378C4×#92418C2311yescharacteristic
379C4×#92418C2311yescharacteristic
380C4×#92418C2311yescharacteristic
381C4×#92418C2311yescharacteristic
382C2×#41×C61C2311yescharacteristic
383C2×#41×C61C2311yescharacteristic
384C22×D4×C61C2311yescharacteristic
385C4⋊Q8×C61C2311yescharacteristic
386C4⋊Q8×C61C2311yescharacteristic
387#126×C61—21no—
388#126×C61—21no—
389#126×C61—21no—
390#126×C61—21no—
391#126×C61—21no—
392#126×C61—21no—
393#126×C61—21no—
394#126×C61—21no—
395#126×C61—21no—
396#126×C61—21no—
397#126×C61D411yescharacteristic
398#126×C61D411yescharacteristic
399#125×C61—21no—
400#125×C61—21no—
401#125×C61—21no—
402#125×C61D411yescharacteristic
403#125×C61C2311yescharacteristic
404#125×C61C2311yescharacteristic
405#124×C61—21no—
406#124×C61—21no—
407#124×C61D411yescharacteristic
408#124×C61C2311yescharacteristic
409#124×C61C2311yescharacteristic
410#123×C61—21no—
411#123×C61—21no—
412#123×C61—21no—
413#123×C61—21no—
414#123×C61—21no—
415#123×C61—21no—
416#123×C61—21no—
417#123×C61—21no—
418#123×C61D411yescharacteristic
419#123×C61D411yescharacteristic
420C22⋊Q8×C61—21no—
421C22⋊Q8×C61—21no—
422C22⋊Q8×C61—21no—
423C22⋊Q8×C61—21no—
424C22⋊Q8×C61—21no—
425C22⋊Q8×C61D411yescharacteristic
426C22⋊Q8×C61C2311yescharacteristic
427C22⋊Q8×C61C2311yescharacteristic
428C22⋊Q8×C61C2311yescharacteristic
429C22⋊Q8×C61C2311yescharacteristic
430#121×C61—21no—
431#121×C61—21no—
432#121×C61—21no—
433#121×C61—21no—
434#121×C61D411yescharacteristic
435#121×C61C2311yescharacteristic
436#121×C61C2311yescharacteristic
437#120×C61—21no—
438#120×C61—21no—
439C4×Q8×C61—21no—
440C4×Q8×C61C2311yescharacteristic
441C4×Q8×C61C2311yescharacteristic
442C4×Q8×C61C2311yescharacteristic
443C4×Q8×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×D4×C61—21no—
446C4×D4×C61—21no—
447C4×D4×C61—21no—
448C4×D4×C61—21no—
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61—21no—
464#117×C61—21no—
465#117×C61—21no—
466#117×C61—21no—
467#117×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469#117×C61C2311yescharacteristic
470#117×C61C2311yescharacteristic
471C2×C4⋊C4×C61—21no—
472C2×C4⋊C4×C61—21no—
473C2×C4⋊C4×C61—21no—
474C2×C4⋊C4×C61C2311yescharacteristic
475C2×C22⋊C4×C61—21no—
476C2×C22⋊C4×C61—21no—
477C2×C22⋊C4×C61—21no—
478C2×C22⋊C4×C61—21no—
479C2×C42×C61—21no—
480C2×C42×C61C2311yescharacteristic
481C24×C61—21no—
482C23×D61—21no—
483#41×C61—22no—
484#41×C61—22no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2×D411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—22no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—41no—
498C2×D4×C61C2×D411yescharacteristic
499C2×D4×C61C2×D411yescharacteristic
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61C2×D411yescharacteristic
513C22×C4×C61C2×D411yescharacteristic
514C22×C4×C61C2411yescharacteristic
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C22×Dic61—21no—
522#11758222—22no—
523#11758222—22no—
524#11758222—41no—
525#11758222—41no—
526C2×D244—22no—
527C2×D244—21no—
528C2×D244—41no—
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×D61—21no—
538C2×C4×D61—21no—
539C2×Dic122—21no—
540C2×Dic122C2411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2×D411yescharacteristic
567C4⋊C4×C61C2×D411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61C2×D411yescharacteristic
591C22⋊C4×C61C2×D411yescharacteristic
592C22⋊C4×C61C2×D411yescharacteristic
593C22⋊C4×C61C2×D411yescharacteristic
594C22⋊C4×C61C2×D411yescharacteristic
595C22⋊C4×C61C2×D411yescharacteristic
596C22⋊C4×C61C2×D411yescharacteristic
597C22⋊C4×C61C2×D411yescharacteristic
598C22⋊C4×C61C2×D411yescharacteristic
599C22⋊C4×C61C2×D411yescharacteristic
600C42×C61—21no—
601C42×C61—21no—
602C42×C61—21no—
603C42×C61—21no—
604C42×C61—21no—
605C42×C61—21no—
606C42×C61C2×D411yescharacteristic
607C42×C61C2×D411yescharacteristic
608C42×C61C2411yescharacteristic
609C42×C61C2411yescharacteristic
610C42×C61C2411yescharacteristic
611C42×C61C2411yescharacteristic
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618#11758202—22no—
619#11758202—22no—
620#11758202—41no—
621#11758202—41no—
622#11758201—22no—
623#11758201—22no—
624#11758201—41no—
625#11758201—41no—
626#11758200—22no—
627#11758200—22no—
628#11758200—41no—
629#11758200—41no—
630#11758199—22no—
631#11758199—22no—
632#11758199—22no—
633#11758199#4114yes—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652C4⋊Dic61C2411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
665#11758196—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672#11758194—41no—
673#11758194—41no—
674C2×#92418—22no—
675C2×#92418—22no—
676C2×#92418—22no—
677C2×#92418—41no—
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—42no—
689C23×C61—81no—
690C23×C61—81no—
691C23×C61C22×D411yescharacteristic
692C23×C61C22×D411yescharacteristic
693C23×C61C22×D411yescharacteristic
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—42no—
697C22×D61—81no—
698C22×D61—81no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—41no—
704Q8×C61—81no—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—41no—
709D4×C61—41no—
710D4×C61—41no—
711D4×C61—42no—
712D4×C61—42no—
713D4×C61—42no—
714D4×C61—81no—
715D4×C61—81no—
716D4×C61C2×#4112yes—
717C2×C4×C61—21no—
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—21no—
728C2×C4×C61—21no—
729C2×C4×C61—41no—
730C2×C4×C61—41no—
731C2×C4×C61—42no—
732C2×C4×C61—42no—
733C2×C4×C61—81no—
734C2×C4×C61—81no—
735C2×C4×C61—81no—
736C2×C4×C61—81no—
737C2×C4×C61—81no—
738C2×C4×C61—81no—
739C2×C4×C61—81no—
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C2511yescharacteristic
752C22⋊D61—42no—
753C22⋊D61—42no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—81no—
763D244—21no—
764D244—21no—
765D244—21no—
766D244—42no—
767D244C2×#4112yes—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776Dic122—21no—
777Dic122—21no—
778Dic122—21no—
779Dic122—21no—
780Dic122—81no—
781#92418—21no—
782#92418—21no—
783#92418—21no—
784#92418—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789#61487—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—22no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—162no—
806C22×C61C23×D411yescharacteristic
807C2×D61—22no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—162no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—21no—
819C4×C61—21no—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61C22×#4111yescharacteristic
832C4×C61#58511yescharacteristic
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839#3521—611no—
840#3521D6111yescharacteristic, complemented
841#3393—611no—
842#3380—611no—
843#3376—611no—
844#3376—611no—
845#3342—611no—
846#3339—611no—
847#3336—611no—
848#3323—611no—
849#3323—611no—
850#3311—611no—
851#3311—611no—
852#3307—611no—
853#3307—611no—
854#3283—611no—
855#3280—611no—
856#3280—611no—
857#3177—611no—
858#3175—611no—
859#3168—611no—
860#3125—611no—
861#3125—611no—
862#3123—611no—
863#3123—611no—
864#3111—611no—
865#3111—611no—
866#2966—611no—
867#2951—611no—
868#2948—611no—
869C4×#135—611no—
870C2×C61—41no—
871C2×C61—41no—
872C2×C61—41no—
873C2×C61—42no—
874C2×C61—81no—
875C2×C61D4×#4111yescharacteristic
876C2×C61#358411yescharacteristic
877C2×C61#358411yescharacteristic
878D61—42no—
879D61—81no—
880C2×#135—611no—
881C2×#135—611no—
882C22×D8—611no—
883#556—611no—
884#556—611no—
885#556C2×D6111yescharacteristic
886#556C2×D6111yescharacteristic, complemented
887#554—611no—
888#554C2×D6111yescharacteristic, complemented
889#553—21no—
890#553—611no—
891#553—1221no—
892#553C2×D6111yescharacteristic, complemented
893#552—21no—
894#552—611no—
895#552—1221no—
896#552C2×D6111yescharacteristic
897#551—21no—
898#551—21no—
899#551—1221no—
900#551—1221no—
901#547—611no—
902#547C2×D6111yescharacteristic, complemented
903#546—611no—
904#546—611no—
905#546C2×D6111yescharacteristic
906#546C2×D6111yescharacteristic
907#542—611no—
908#542C2×D6111yescharacteristic, complemented
909#541—611no—
910#541C2×D6111yescharacteristic
911#539—21no—
912#539—1221no—
913#538—21no—
914#538—1221no—
915#529—21no—
916#529—611no—
917#529—1221no—
918#529C2×D6111yescharacteristic
919#529C2×D6111yescharacteristic, complemented
920C2×#126—21no—
921C2×#126—1221no—
922#520—611no—
923#520C2×D6111yescharacteristic, complemented
924#518—611no—
925#518C2×D6111yescharacteristic
926C4×#41—611no—
927C4×#41C2×D6111yescharacteristic, complemented
928#500—611no—
929#499—611no—
930#499—611no—
931#495—611no—
932#495—611no—
933#494—611no—
934#491—611no—
935#491—611no—
936#489—611no—
937#489—611no—
938#488—611no—
939#488—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#485—611no—
944#485—611no—
945#485—611no—
946#483—611no—
947#483—611no—
948#482—611no—
949#482—611no—
950#481—611no—
951#481—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#476—611no—
961#476—611no—
962#475—611no—
963#475—611no—
964#470—611no—
965#470—611no—
966#468—611no—
967#468—611no—
968#467—611no—
969#467—611no—
970#467—611no—
971#467—611no—
972#466—611no—
973#466—611no—
974#465—611no—
975#465—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#464—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#463—611no—
984#461—611no—
985#461—611no—
986#461—611no—
987#461—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#452—611no—
992#450—611no—
993#450—611no—
994#450—611no—
995#450—611no—
996#449—611no—
997#449—611no—
998#449—611no—
999#449—611no—
1000#446—611no—
1001C8×Q8—611no—
1002#442—611no—
1003#442—611no—
1004#442—611no—
1005#442—611no—
1006#441—611no—
1007#441—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×Q16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×D8—611no—
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029C4×D8—611no—
1030#436—611no—
1031#435—611no—
1032#435—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035C8×D4—611no—
1036#433—611no—
1037#433—611no—
1038#432—611no—
1039#427—611no—
1040#427—611no—
1041C2×#107—611no—
1042#418—611no—
1043#418—611no—
1044#417—611no—
1045#417—611no—
1046#416—611no—
1047#416—611no—
1048#405—611no—
1049#405—611no—
1050C2×C4×C8—611no—
1051C61#6148711yescharacteristic, complemented, Sylow
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41C22×D6111yescharacteristic
1055C2×#41C22×D6111yescharacteristic
1056C22×D4—611no—
1057C22×D4C22×D6111yescharacteristic
1058#135—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×D8—1224no—
1077C2×M16—611no—
1078C2×M16—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8—611no—
1082C22×C8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8C22×D6111yescharacteristic
1086C4⋊Q8C22×D6111yescharacteristic
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126C22⋊D6111yescharacteristic
1108#126C22⋊D6111yescharacteristic
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—611no—
1113#125—611no—
1114#125—1221no—
1115#125—1221no—
1116#125—1221no—
1117#125C22⋊D6111yescharacteristic
1118#125C22×D6111yescharacteristic
1119#125C22×D6111yescharacteristic
1120#124—21no—
1121#124—21no—
1122#124—611no—
1123#124—611no—
1124#124—1221no—
1125#124—1221no—
1126#124C22⋊D6111yescharacteristic
1127#124C22×D6111yescharacteristic
1128#124C22×D6111yescharacteristic
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123C22⋊D6111yescharacteristic
1146#123C22⋊D6111yescharacteristic
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—611no—
1153C22⋊Q8—611no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8C22⋊D6111yescharacteristic
1162C22⋊Q8C22×D6111yescharacteristic
1163C22⋊Q8C22×D6111yescharacteristic
1164C22⋊Q8C22×D6111yescharacteristic
1165C22⋊Q8C22×D6111yescharacteristic
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—611no—
1171#121—611no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121C22⋊D6111yescharacteristic
1177#121C22×D6111yescharacteristic
1178#121C22×D6111yescharacteristic
1179#120—21no—
1180#120—21no—
1181#120—1221no—
1182#120—1221no—
1183C4×Q8—21no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—1221no—
1189C4×Q8C22×D6111yescharacteristic
1190C4×Q8C22×D6111yescharacteristic
1191C4×Q8C22×D6111yescharacteristic
1192C4×Q8C22×D6111yescharacteristic
1193C4×Q8C22×D6111yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4C22×D6111yescharacteristic
1217C4×D4C22×D6111yescharacteristic
1218C4×D4C22×D6111yescharacteristic
1219C4×D4C22×D6111yescharacteristic
1220C4×D4C22×D6111yescharacteristic
1221C4×D4C22×D6111yescharacteristic
1222C4×D4C22×D6111yescharacteristic
1223C4×D4C22×D6111yescharacteristic
1224C4×D4C22×D6111yescharacteristic
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—611no—
1231#117—611no—
1232#117—1221no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117C22×D6111yescharacteristic
1238#117C22×D6111yescharacteristic
1239#117C22×D6111yescharacteristic
1240#117C22×D6111yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C4⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—21no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C22⋊C4—1221no—
1257C2×C42—21no—
1258C2×C42—1221no—
1259C2×C42C22×D6111yescharacteristic
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8—611no—
1318C22⋊C8—611no—
1319C22⋊C8—611no—
1320#97—611no—
1321#97—611no—
1322#97—611no—
1323#97—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8—611no—
1329C4×C8—611no—
1330C24—21no—
1331C24—1221no—
1332#41—22no—
1333#41—22no—
1334#41—41no—
1335#41—41no—
1336#41—1222no—
1337#41—1222no—
1338#41—2441no—
1339#41—2441no—
1340C2×Q8—21no—
1341C2×Q8—611no—
1342C2×Q8—611no—
1343C2×Q8—1221no—
1344C2×Q8C2×C22⋊D6111yescharacteristic
1345C2×Q8C23×D6111yescharacteristic
1346C2×Q8C23×D6111yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—41no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—1222no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—2441no—
1363C2×D4C2×C22⋊D6111yescharacteristic
1364C2×D4C2×C22⋊D6111yescharacteristic
1365C2×D4C2×C22⋊D6111yescharacteristic
1366C2×D4C23×D6111yescharacteristic
1367C2×D4C23×D6111yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
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×C4C2×C22⋊D6111yescharacteristic
1387C22×C4C2×C22⋊D6111yescharacteristic
1388C22×C4C23×D6111yescharacteristic
1389C22×C4C23×D6111yescharacteristic
1390C22×C4C23×D6111yescharacteristic
1391Q16—1222no—
1392Q16—1222no—
1393Q16—2441no—
1394Q16—2441no—
1395SD16—1222no—
1396SD16—1222no—
1397SD16—1222no—
1398SD16—1222no—
1399SD16—2441no—
1400SD16—2441no—
1401SD16—2441no—
1402SD16—2441no—
1403D8—614no—
1404D8—1222no—
1405D8—1222no—
1406D8—1222no—
1407M16—2441no—
1408M16—2441no—
1409C2×C8—611no—
1410C2×C8—611no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—1222no—
1418C2×C8—1222no—
1419C2×C8—1222no—
1420C2×C8—2441no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
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⋊C4C2×C22⋊D6111yescharacteristic
1458C4⋊C4C2×C22⋊D6111yescharacteristic
1459C4⋊C4C2×C22⋊D6111yescharacteristic
1460C4⋊C4C2×C22⋊D6111yescharacteristic
1461C4⋊C4C2×C22⋊D6111yescharacteristic
1462C4⋊C4C2×C22⋊D6111yescharacteristic
1463C4⋊C4C2×C22⋊D6111yescharacteristic
1464C4⋊C4C2×C22⋊D6111yescharacteristic
1465C4⋊C4C2×C22⋊D6111yescharacteristic
1466C4⋊C4C2×C22⋊D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C4⋊C4C23×D6111yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
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⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4C2×C22⋊D6111yescharacteristic
1508C22⋊C4C2×C22⋊D6111yescharacteristic
1509C22⋊C4C2×C22⋊D6111yescharacteristic
1510C22⋊C4C2×C22⋊D6111yescharacteristic
1511C22⋊C4C2×C22⋊D6111yescharacteristic
1512C22⋊C4C2×C22⋊D6111yescharacteristic
1513C22⋊C4C2×C22⋊D6111yescharacteristic
1514C22⋊C4C2×C22⋊D6111yescharacteristic
1515C22⋊C4C2×C22⋊D6111yescharacteristic
1516C22⋊C4C2×C22⋊D6111yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42C2×C22⋊D6111yescharacteristic
1530C42C2×C22⋊D6111yescharacteristic
1531C42C23×D6111yescharacteristic
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C42C23×D6111yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—42no—
1538C23—81no—
1539C23—81no—
1540C23—1221no—
1541C23—1221no—
1542C23—4881no—
1543C23—4881no—
1544C23—2442no—
1545C23C22×C22⋊D6111yescharacteristic
1546C23C22×C22⋊D6111yescharacteristic
1547C23C22×C22⋊D6111yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—41no—
1553Q8—81no—
1554Q8—1221no—
1555Q8—1221no—
1556Q8—1221no—
1557Q8—1221no—
1558Q8—4881no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—81no—
1569D4—81no—
1570D4—612no—
1571D4—1221no—
1572D4—1221no—
1573D4—1221no—
1574D4—4881no—
1575D4—4881no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4#41×D6112yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—42no—
1595C2×C4—42no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—2442no—
1617C2×C4—2442no—
1618C2×C4C22×C22⋊D6111yescharacteristic
1619C2×C4C22×C22⋊D6111yescharacteristic
1620C2×C4C22×C22⋊D6111yescharacteristic
1621C2×C4C22×C22⋊D6111yescharacteristic
1622C2×C4C22×C22⋊D6111yescharacteristic
1623C2×C4C22×C22⋊D6111yescharacteristic
1624C2×C4C22×C22⋊D6111yescharacteristic
1625C2×C4C22×C22⋊D6111yescharacteristic
1626C2×C4C22×C22⋊D6111yescharacteristic
1627C2×C4C22×C22⋊D6111yescharacteristic
1628C2×C4C22×C22⋊D6111yescharacteristic
1629C2×C4C24×D6111yescharacteristic
1630C8—612no—
1631C8—1221no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C8—1221no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—22no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—162no—
1654C22—1222no—
1655C22—9762no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22—2441no—
1660C22—2441no—
1661C22C23×C22⋊D6111yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4—2441no—
1684C4—2441no—
1685C4C2×#41×D6111yescharacteristic
1686C4#1684059811yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—41no—
1690C2—42no—
1691C2—81no—
1692C2—4881no—
1693C2—2442no—
1694C2#41×C22⋊D6111yescharacteristic
1695C2#2146059011yescharacteristic
1696C2#2146059011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3521C2
socleC22×C61C23×D4
hypercenter#3521D61
hypocenterC61#61487
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #21459891C2semidirect
2. #21458803C2semidirect
3. #21458682C2semidirect
4. #21458646C2semidirect
5. #21458640C2semidirect
6. #21458245C2semidirect
7. #21458215C2semidirect
8. #21458181C2semidirect
9. #21458035C2semidirect
10. #21458029C2semidirect
11. #21457855C2semidirect
12. #21457849C2semidirect
13. #21457795C2semidirect
14. #21457789C2semidirect
15. #21457537C2semidirect
16. #21457500C2semidirect
17. #21457500C2semidirect
18. #21456472C2semidirect
19. #21456452C2semidirect
20. #21456383C2semidirect
21. #21456096C2semidirect
22. #21456090C2semidirect
23. #21456071C2semidirect
24. #21456066C2semidirect
25. #21455928C2semidirect
26. #21455922C2semidirect
27. #21454795C2semidirect
28. #21454692C2semidirect
29. #21454669C2semidirect
30. C4×#14519797C2semidirect
31. C61×#3521C2semidirect
35. #16840485C22semidirect
37. #16840472C22semidirect
38. #16840458C22semidirect
44. #16840417C22semidirect
47. #16840383C22semidirect
51. #16840296C22semidirect
54. #16840242C22semidirect
56. C4×#11758222C22semidirect
57. #16840165C22semidirect
58. #16840161C22semidirect
59. #16840161C22semidirect
62. #16840141C22semidirect
63. #16840132C22semidirect
64. #16840130C22semidirect
65. #16840124C22semidirect
66. #16840121C22semidirect
67. #16840119C22semidirect
68. #16840116C22semidirect
71. #16840103C22semidirect
74. #16840100C22semidirect
75. #16840092C22semidirect
76. #16840090C22semidirect
77. #16840086C22semidirect
78. #16840083C22semidirect
79. #16840080C22semidirect
80. #16840078C22semidirect
81. #16840069C22semidirect
82. #16840066C22semidirect
83. #16840062C22semidirect
84. #16840062C22semidirect
85. #16840062C22semidirect
86. #16840059C22semidirect
87. #16840059C22semidirect
88. #16840059C22semidirect
89. #16840052C22semidirect
90. #16840049C22semidirect
91. #16840047C22semidirect
92. #16840044C22semidirect
95. #16840010C22semidirect
96. #16840006C22semidirect
99. #16840001C22semidirect
100. #16840001C22semidirect
103. #16839993C22semidirect
104. #16839989C22semidirect
105. #16839984C22semidirect
106. #16839984C22semidirect
107. #16839981C22semidirect
108. #16839981C22semidirect
113. #16839967C22semidirect
114. #16839967C22semidirect
115. #16839964C22semidirect
116. #16839964C22semidirect
117. #16839924C22semidirect
118. #16839924C22semidirect
119. #16839922C22semidirect
120. #16839922C22semidirect
129. #16839893C22semidirect
130. Q8×#92418C22semidirect
135. #16839867C22semidirect
136. #16839867C22semidirect
137. #16839862C22semidirect
138. #16839862C22semidirect
139. #16839862C22semidirect
140. #16839860C22semidirect
141. #16839860C22semidirect
142. #16839860C22semidirect
143. C4×#11758202C22semidirect
144. C4×#11758202C22semidirect
145. C4×#11758202C22semidirect
146. C4×#11758202C22semidirect
147. C4×#11758201C22semidirect
148. C4×#11758201C22semidirect
149. C4×#11758201C22semidirect
150. C4×#11758200C22semidirect
151. C4×#11758200C22semidirect
152. C4×#11758200C22semidirect
161. #16839834C22semidirect
164. D4×#92418C22semidirect
166. #16839823C22semidirect
167. #16839819C22semidirect
169. #16839798C22semidirect
170. C2×#14519710C22semidirect
173. #16839763C22semidirect
174. #16839761C22semidirect
175. #16839758C22semidirect
176. #16839756C22semidirect
178. #16839718C22semidirect
179. C2×C4×#92418C22semidirect
181. C61×#556C22semidirect
182. C61×#554C22semidirect
184. C61×#553C22semidirect
189. C61×#547C22semidirect
192. C61×#542C22semidirect
198. C61×#529C22semidirect
200. C61×#520C22semidirect
202. C4×#41×C61C22semidirect
840. #3521D61semidirect
886. #556C2×D61semidirect
888. #554C2×D61semidirect
892. #553C2×D61semidirect
902. #547C2×D61semidirect
908. #542C2×D61semidirect
919. #529C2×D61semidirect
923. #520C2×D61semidirect
927. C4×#41C2×D61semidirect
1051. C61#61487semidirect

Maximal subgroups

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

subgroupindex
#214598912
#214588032
#214586822
#214586462
#214586402
#214582452
#214582152
#214581812
#214580352
#214580292
#214578552
#214578492
#214577952
#214577892
#214575372
#214575002
#214564722
#214564522
#214563832
#214560962
#214560902
#214560712
#214560662
#214559282
#214559222
#214547952
#214546922
#214546692
C4×#145197972
C61×#35212
#6148761