Finite Group Databasebeta

← #30565581

Subgroups — #30565581

Order 15616.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459452C211yesmaximal, characteristic, complemented
2#21458044C211yesmaximal, characteristic, complemented
3#21458029C211yesmaximal, characteristic, complemented
4#21457954C211yesmaximal, characteristic, complemented
5#21457894C211yesmaximal, characteristic, complemented
6#21457849C211yesmaximal, characteristic, complemented
7#21457834C211yesmaximal, characteristic, complemented
8#21457663C211yesmaximal, characteristic, complemented
9#21457637C211yesmaximal, characteristic, complemented
10#21457527C211yesmaximal, characteristic, complemented
11D4×#11758201C211yesmaximal, characteristic, complemented
12#21457451C211yesmaximal, characteristic, complemented
13#21457419C211yesmaximal, characteristic, complemented
14#21457345C211yesmaximal, characteristic, complemented
15#21457330C211yesmaximal, characteristic, complemented
16#21457315C211yesmaximal, characteristic, complemented
17#21457315C211yesmaximal, characteristic, complemented
18#21456907C211yesmaximal, characteristic, complemented
19#21456885C211yesmaximal, characteristic, complemented
20#21456686C211yesmaximal, characteristic, complemented
21#21456665C211yesmaximal, characteristic, complemented
22#21456649C211yesmaximal, characteristic, complemented
23#21456607C211yesmaximal, characteristic, complemented
24#21456066C211yesmaximal, characteristic, complemented
25#21455997C211yesmaximal, characteristic, complemented
26#21455120C211yesmaximal, characteristic, complemented
27#21455094C211yesmaximal, characteristic, complemented
28#21455045C211yesmaximal, characteristic, complemented
29C2×#16839912C211yesmaximal, characteristic, complemented
30#21454867C211yesmaximal, characteristic, complemented
31C61×#3541C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic
33C23×D244C2211yescharacteristic
34C2×#14519808C2211yescharacteristic, complemented
35C2×#14519802C2211yescharacteristic, complemented
36C2×#14519802C2211yescharacteristic, complemented
37C2×#14519802C2211yescharacteristic, complemented
38C2×#14519797C2211yescharacteristic, complemented
39C22×#11758201C2211yescharacteristic, complemented
40C22×#11758201C2211yescharacteristic, complemented
41C22×#11758201C2211yescharacteristic, complemented
42#16840408C2211yescharacteristic
43#16840408C2211yescharacteristic
44#16840408C2211yescharacteristic
45#16840408C2211yescharacteristic
46#16840403—21no—
47#16840403—21no—
48D4×D244C2211yescharacteristic
49D4×D244C2211yescharacteristic
50D4×D244C2211yescharacteristic
51D4×D244C2211yescharacteristic
52#16840396—21no—
53#16840396—21no—
54#16840331C2211yescharacteristic
55#16840326C2211yescharacteristic
56#16840323—21no—
57#16840323—21no—
58#16840273C2211yescharacteristic
59#120×D61—21no—
60#120×D61—21no—
61#16840236C2211yescharacteristic
62#16840154C2211yescharacteristic, complemented
63#16840152C2211yescharacteristic, complemented
64#16840144C2211yescharacteristic, complemented
65#16840136C2211yescharacteristic, complemented
66#16840128C2211yescharacteristic, complemented
67#16840124C2211yescharacteristic, complemented
68#16840119C2211yescharacteristic, complemented
69#16840110C2211yescharacteristic, complemented
70#16840103C2211yescharacteristic, complemented
71#16840100C2211yescharacteristic, complemented
72#16840100C2211yescharacteristic, complemented
73#16840100C2211yescharacteristic, complemented
74#16840097C2211yescharacteristic, complemented
75#16840086C2211yescharacteristic, complemented
76#16840086C2211yescharacteristic, complemented
77#16840086C2211yescharacteristic, complemented
78#16840083C2211yescharacteristic, complemented
79#16840080C2211yescharacteristic, complemented
80#16840080C2211yescharacteristic, complemented
81#16840075C2211yescharacteristic, complemented
82#16840059C2211yescharacteristic, complemented
83#16840059C2211yescharacteristic, complemented
84#16840049C2211yescharacteristic, complemented
85#16840039C2211yescharacteristic, complemented
86#16840018C2211yescharacteristic, complemented
87#16840018C2211yescharacteristic, complemented
88#16840013C2211yescharacteristic, complemented
89#16840010C2211yescharacteristic, complemented
90#16840010C2211yescharacteristic, complemented
91#16840010C2211yescharacteristic, complemented
92#16840010C2211yescharacteristic, complemented
93#16840010C2211yescharacteristic, complemented
94#16840001C2211yescharacteristic, complemented
95#16839996C2211yescharacteristic, complemented
96#16839996C2211yescharacteristic, complemented
97#16839993C2211yescharacteristic, complemented
98#16839993C2211yescharacteristic, complemented
99#16839993C2211yescharacteristic, complemented
100#16839993C2211yescharacteristic, complemented
101#16839989C2211yescharacteristic, complemented
102#16839984C2211yescharacteristic, complemented
103#16839984C2211yescharacteristic, complemented
104#16839984C2211yescharacteristic, complemented
105#16839977C2211yescharacteristic, complemented
106#16839974C2211yescharacteristic, complemented
107#16839974C2211yescharacteristic, complemented
108#16839964C2211yescharacteristic, complemented
109#16839964C2211yescharacteristic, complemented
110#16839962C2211yescharacteristic, complemented
111#16839962C2211yescharacteristic, complemented
112#16839962C2211yescharacteristic, complemented
113#16839957C2211yescharacteristic, complemented
114#16839924C2211yescharacteristic, complemented
115#16839922C2211yescharacteristic, complemented
116#16839922C2211yescharacteristic, complemented
117#16839922C2211yescharacteristic, complemented
118#16839922C2211yescharacteristic, complemented
119#16839922C2211yescharacteristic, complemented
120#16839922C2211yescharacteristic, complemented
121#16839918C2211yescharacteristic, complemented
122#16839912C2211yescharacteristic
123#16839912C2211yescharacteristic
124#16839912C2211yescharacteristic
125#16839912C2211yescharacteristic, complemented
126#16839912C2211yescharacteristic, complemented
127#16839912C2211yescharacteristic, complemented
128#16839912C2211yescharacteristic, complemented
129#16839912C2211yescharacteristic, complemented
130#16839912C2211yescharacteristic, complemented
131#16839912C2211yescharacteristic, complemented
132#16839912C2211yescharacteristic, complemented
133#16839912C2211yescharacteristic, complemented
134#16839912C2211yescharacteristic, complemented
135#16839912C2211yescharacteristic, complemented
136#16839912C2211yescharacteristic, complemented
137#16839907C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839907C2211yescharacteristic, complemented
140#16839905C2211yescharacteristic, complemented
141#16839905C2211yescharacteristic, complemented
142#16839901C2211yescharacteristic, complemented
143#16839901C2211yescharacteristic, complemented
144#16839901C2211yescharacteristic, complemented
145#16839895C2211yescharacteristic
146#16839895C2211yescharacteristic, complemented
147#16839895C2211yescharacteristic, complemented
148#16839895C2211yescharacteristic, complemented
149#16839895C2211yescharacteristic, complemented
150#16839872C2211yescharacteristic, complemented
151#16839860C2211yescharacteristic, complemented
152#16839860C2211yescharacteristic, complemented
153#16839860C2211yescharacteristic, complemented
154C4×#11758201C2211yescharacteristic, complemented
155C4×#11758201C2211yescharacteristic, complemented
156C4×#11758201C2211yescharacteristic, complemented
157C4×#11758199C2211yescharacteristic, complemented
158#16839840C2211yescharacteristic, complemented
159#16839840C2211yescharacteristic, complemented
160#16839834C2211yescharacteristic, complemented
161#16839834C2211yescharacteristic, complemented
162#16839834C2211yescharacteristic, complemented
163#16839834C2211yescharacteristic, complemented
164D4×#92418C2211yescharacteristic, complemented
165D4×#92418C2211yescharacteristic, complemented
166#16839823C2211yescharacteristic, complemented
167#16839823C2211yescharacteristic, complemented
168#16839766C2211yescharacteristic, complemented
169#16839766C2211yescharacteristic, complemented
170#16839766C2211yescharacteristic, complemented
171#16839761C2211yescharacteristic, complemented
172#16839756C2211yescharacteristic, complemented
173C2×#14519697C2211yescharacteristic, complemented
174C2×#14519697C2211yescharacteristic, complemented
175C2×#14519697C2211yescharacteristic, complemented
176#16839729C2211yescharacteristic, complemented
177#16839729C2211yescharacteristic, complemented
178#16839726C2211yescharacteristic, complemented
179C2×C22⋊#92418C2211yescharacteristic, complemented
180C61×#563—21no—
181C61×#562—21no—
182C61×#556C2211yescharacteristic, complemented
183C61×#554—21no—
184C61×#554C2211yescharacteristic, complemented
185C61×#553—21no—
186C61×#553C2211yescharacteristic, complemented
187C61×#552C2211yescharacteristic, complemented
188D4×Q8×C61C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic, complemented
190C61×#548C2211yescharacteristic, complemented
191C61×#547C2211yescharacteristic, complemented
192C61×#542—21no—
193C61×#542C2211yescharacteristic, complemented
194C61×#541C2211yescharacteristic, complemented
195C61×#539—21no—
196C61×#538—21no—
197C61×#538—21no—
198C61×#537C2211yescharacteristic, complemented
199C61×#536C2211yescharacteristic, complemented
200C61×#525C2211yescharacteristic
201C61×#525C2211yescharacteristic, complemented
202C2×C22⋊Q8×C61C2211yescharacteristic, complemented
203C24×D61—21no—
204#14519823—42no—
205#14519823—42no—
206C2×#11758226—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758222C2311yescharacteristic
210C22×D244—21no—
211C22×D244—21no—
212C22×D244—21no—
213C22×D244—42no—
214C22×D244—42no—
215C22×D244C2311yescharacteristic
216C22×D244C2311yescharacteristic
217C22×D244C2311yescharacteristic
218C22×D244C2311yescharacteristic
219C22×D244C2311yescharacteristic
220C22×D244C2311yescharacteristic
221C22×D244C2311yescharacteristic
222C22×D244C2311yescharacteristic
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61—21no—
229C2×D4×D61—21no—
230#14519808—42no—
231#14519802—42no—
232#14519802—42no—
233#14519802—42no—
234#14519797—42no—
235C2×#11758202C2311yescharacteristic, complemented
236C2×#11758202C2311yescharacteristic, complemented
237C2×#11758202C2311yescharacteristic, complemented
238C2×#11758200C2311yescharacteristic, complemented
239C2×#11758201—42no—
240C2×#11758201—42no—
241C2×#11758201—42no—
242C2×#11758201C2311yescharacteristic
243C2×#11758201C2311yescharacteristic
244C2×#11758201C2311yescharacteristic
245C2×#11758201C2311yescharacteristic
246C2×#11758201C2311yescharacteristic
247C2×#11758201C2311yescharacteristic
248C2×#11758201C2311yescharacteristic
249C2×#11758201C2311yescharacteristic
250C2×#11758201C2311yescharacteristic
251C2×#11758201C2311yescharacteristic
252C2×#11758201C2311yescharacteristic
253C2×#11758201C2311yescharacteristic
254C2×#11758201C2311yescharacteristic, complemented
255C2×#11758201C2311yescharacteristic, complemented
256C2×#11758201C2311yescharacteristic, complemented
257C2×#11758199C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic, complemented
262C2×#11758194C2311yescharacteristic
263C2×#11758194C2311yescharacteristic
264C2×#11758194C2311yescharacteristic, complemented
265C2×#11758194C2311yescharacteristic, complemented
266C22×#92418C2311yescharacteristic
267C22×#92418C2311yescharacteristic
268C22×#92418C2311yescharacteristic, complemented
269C22×#92418C2311yescharacteristic, complemented
270#14519774C2311yescharacteristic
271#14519774C2311yescharacteristic
272#14519773—21no—
273#14519766—21no—
274#14519765C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519760—21no—
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519752—21no—
284#14519752—21no—
285#14519752—21no—
286#14519752—21no—
287#14519752—21no—
288#14519752—21no—
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519751C2311yescharacteristic
293#14519751C2311yescharacteristic
294#14519751C2311yescharacteristic
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519747—21no—
300#14519747—21no—
301#14519747—21no—
302#14519747—21no—
303#14519747—21no—
304#14519747—21no—
305#14519747—21no—
306#14519747—21no—
307#14519747—21no—
308#14519747—21no—
309#14519746—21no—
310#14519745—21no—
311#14519745—21no—
312#14519745—21no—
313#14519745—21no—
314#14519745—21no—
315#14519745—21no—
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320#14519739—21no—
321#14519739—21no—
322C4×C22⋊D61—21no—
323C4×C22⋊D61—21no—
324#14519736C2311yescharacteristic
325C22⋊C4×D61—21no—
326C22⋊C4×D61—21no—
327C22⋊C4×D61—21no—
328C22⋊C4×D61—21no—
329C22⋊C4×D61—21no—
330C22⋊C4×D61—21no—
331#14519710C2311yescharacteristic, complemented
332#14519710C2311yescharacteristic, complemented
333#14519710C2311yescharacteristic, complemented
334#14519710C2311yescharacteristic, complemented
335#14519708C2311yescharacteristic, complemented
336#14519708C2311yescharacteristic, complemented
337#14519708C2311yescharacteristic, complemented
338#14519708C2311yescharacteristic, complemented
339C4⋊#92418C2311yescharacteristic, complemented
340C4⋊#92418C2311yescharacteristic, complemented
341C4⋊#92418C2311yescharacteristic, complemented
342C4⋊#92418C2311yescharacteristic, complemented
343#14519701C2311yescharacteristic, complemented
344#14519701C2311yescharacteristic, complemented
345#14519701C2311yescharacteristic, complemented
346#14519701C2311yescharacteristic, complemented
347#14519701C2311yescharacteristic, complemented
348#14519701C2311yescharacteristic, complemented
349#14519700C2311yescharacteristic, complemented
350#14519700C2311yescharacteristic, complemented
351#14519700C2311yescharacteristic, complemented
352#14519700C2311yescharacteristic, complemented
353#14519698C2311yescharacteristic, complemented
354#14519698C2311yescharacteristic, complemented
355#14519697C2311yescharacteristic
356#14519697C2311yescharacteristic
357#14519697C2311yescharacteristic
358#14519697C2311yescharacteristic
359#14519697C2311yescharacteristic
360#14519697C2311yescharacteristic
361#14519697C2311yescharacteristic
362#14519697C2311yescharacteristic
363#14519697C2311yescharacteristic
364#14519697C2311yescharacteristic
365#14519697C2311yescharacteristic
366#14519697C2311yescharacteristic
367#14519697C2311yescharacteristic
368#14519697C2311yescharacteristic
369#14519697C2311yescharacteristic
370#14519697C2311yescharacteristic
371#14519697C2311yescharacteristic, complemented
372#14519697C2311yescharacteristic, complemented
373#14519697C2311yescharacteristic, complemented
374#14519697C2311yescharacteristic, complemented
375C22⋊#92418C2311yescharacteristic
376C22⋊#92418C2311yescharacteristic
377C22⋊#92418C2311yescharacteristic
378C22⋊#92418C2311yescharacteristic
379C22⋊#92418C2311yescharacteristic
380C22⋊#92418C2311yescharacteristic
381C22⋊#92418C2311yescharacteristic
382C22⋊#92418C2311yescharacteristic
383C22⋊#92418C2311yescharacteristic, complemented
384C22⋊#92418C2311yescharacteristic, complemented
385C22⋊#92418C2311yescharacteristic, complemented
386C22⋊#92418C2311yescharacteristic, complemented
387#14519688C2311yescharacteristic, complemented
388#14519688C2311yescharacteristic, complemented
389C4×#92418C2311yescharacteristic, complemented
390C4×#92418C2311yescharacteristic, complemented
391C2×#41×C61C2311yescharacteristic
392C2×#41×C61C2311yescharacteristic
393C2×#41×C61C2311yescharacteristic, complemented
394C22×Q8×C61C2311yescharacteristic
395C22×Q8×C61C2311yescharacteristic, complemented
396C23×C4×C61C2311yescharacteristic
397C4⋊Q8×C61—21no—
398C4⋊Q8×C61—21no—
399C4⋊Q8×C61C2311yescharacteristic, complemented
400C4⋊Q8×C61C2311yescharacteristic, complemented
401#126×C61—21no—
402#126×C61—21no—
403#126×C61—21no—
404#126×C61—21no—
405#126×C61—21no—
406#126×C61—21no—
407#126×C61—21no—
408#125×C61—21no—
409#125×C61—21no—
410#125×C61—21no—
411#125×C61—21no—
412#125×C61C2311yescharacteristic, complemented
413#124×C61—21no—
414#124×C61—21no—
415#124×C61—21no—
416#124×C61—21no—
417#124×C61—21no—
418#124×C61C2311yescharacteristic, complemented
419#123×C61—21no—
420#123×C61—21no—
421#123×C61—21no—
422#123×C61—21no—
423#123×C61—21no—
424#123×C61—21no—
425#123×C61—21no—
426#123×C61—21no—
427#123×C61D411yescharacteristic
428#123×C61D411yescharacteristic
429C22⋊Q8×C61—21no—
430C22⋊Q8×C61—21no—
431C22⋊Q8×C61—21no—
432C22⋊Q8×C61—21no—
433C22⋊Q8×C61—21no—
434C22⋊Q8×C61—21no—
435C22⋊Q8×C61—21no—
436C22⋊Q8×C61—21no—
437C22⋊Q8×C61—21no—
438C22⋊Q8×C61—21no—
439C22⋊Q8×C61D411yescharacteristic
440C22⋊Q8×C61D411yescharacteristic
441C22⋊Q8×C61C2311yescharacteristic
442C22⋊Q8×C61C2311yescharacteristic
443C22⋊Q8×C61C2311yescharacteristic
444C22⋊Q8×C61C2311yescharacteristic
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic, complemented
448C22⋊Q8×C61C2311yescharacteristic, complemented
449C22⋊Q8×C61C2311yescharacteristic, complemented
450#121×C61—21no—
451#121×C61—21no—
452#121×C61—21no—
453#121×C61—21no—
454#121×C61—21no—
455#121×C61—21no—
456#121×C61—21no—
457#121×C61D411yescharacteristic
458#121×C61D411yescharacteristic
459#121×C61C2311yescharacteristic
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic, complemented
462#120×C61—21no—
463#120×C61D411yescharacteristic
464#120×C61D411yescharacteristic
465C4×Q8×C61—21no—
466C4×Q8×C61C2311yescharacteristic, complemented
467C4×Q8×C61C2311yescharacteristic, complemented
468C4×Q8×C61C2311yescharacteristic, complemented
469C4×D4×C61—21no—
470C4×D4×C61—21no—
471C4×D4×C61—21no—
472C4×D4×C61—21no—
473C4×D4×C61—21no—
474C4×D4×C61—21no—
475C4×D4×C61—21no—
476C4×D4×C61C2311yescharacteristic
477C4×D4×C61C2311yescharacteristic
478C4×D4×C61C2311yescharacteristic
479C4×D4×C61C2311yescharacteristic
480C4×D4×C61C2311yescharacteristic, complemented
481#117×C61—21no—
482#117×C61C2311yescharacteristic
483#117×C61C2311yescharacteristic
484#117×C61C2311yescharacteristic, complemented
485C2×C4⋊C4×C61—21no—
486C2×C4⋊C4×C61—21no—
487C2×C4⋊C4×C61C2311yescharacteristic
488C2×C4⋊C4×C61C2311yescharacteristic, complemented
489C2×C22⋊C4×C61—21no—
490C24×C61C2×D411yescharacteristic
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—21no—
498C23×D61—21no—
499C23×D61—44no—
500C23×D61—82no—
501C23×D61—82no—
502#41×C61—41no—
503#41×C61—41no—
504#41×C61—41no—
505#41×C61—41no—
506#41×C61—41no—
507#41×C61—41no—
508C2×Q8×C61—21no—
509C2×Q8×C61—21no—
510C2×Q8×C61—21no—
511C2×Q8×C61—41no—
512C2×Q8×C61—41no—
513C2×Q8×C61—41no—
514C2×Q8×C61—41no—
515C2×Q8×C61C2×D411yescharacteristic
516C2×Q8×C61C2411yescharacteristic
517C2×Q8×C61C2411yescharacteristic
518C2×Q8×C61C2411yescharacteristic
519C2×D4×C61—21no—
520C2×D4×C61—21no—
521C2×D4×C61—21no—
522C2×D4×C61—21no—
523C2×D4×C61—21no—
524C2×D4×C61C2×D411yescharacteristic
525C2×D4×C61C2×D411yescharacteristic
526C2×D4×C61C2×D411yescharacteristic
527C2×D4×C61C2×D411yescharacteristic
528C2×D4×C61C2×D411yescharacteristic
529C2×D4×C61C2×D411yescharacteristic
530C2×D4×C61C2×D411yescharacteristic
531C2×D4×C61C2411yescharacteristic
532C22×C4×C61—21no—
533C22×C4×C61—21no—
534C22×C4×C61—21no—
535C22×C4×C61—21no—
536C22×C4×C61—21no—
537C22×C4×C61—21no—
538C22×C4×C61—21no—
539C22×C4×C61—41no—
540C22×C4×C61—41no—
541C22×C4×C61C2×D411yescharacteristic
542C22×C4×C61C2×D411yescharacteristic
543C22×C4×C61C2×D411yescharacteristic
544C22×C4×C61C2411yescharacteristic
545C22×C4×C61C2411yescharacteristic
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C22×C4×C61C2411yescharacteristic
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—21no—
552C2×C22⋊D61—21no—
553C2×C22⋊D61—21no—
554C2×C22⋊D61—21no—
555C2×C22⋊D61—21no—
556C2×C22⋊D61—21no—
557C2×C22⋊D61—21no—
558#11758226—44no—
559D4×D61—44no—
560D4×D61—44no—
561D4×D61—44no—
562D4×D61—82no—
563D4×D61—82no—
564D4×D61—82no—
565D4×D61—82no—
566#11758222—22no—
567#11758222—22no—
568#11758222—41no—
569#11758222—41no—
570#11758222—41no—
571#11758222—41no—
572C2×D244—21no—
573C2×D244—22no—
574C2×D244—22no—
575C2×D244—22no—
576C2×D244—22no—
577C2×D244—22no—
578C2×D244—22no—
579C2×D244—22no—
580C2×D244—22no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244—21no—
584C2×D244—21no—
585C2×D244—21no—
586C2×D244—21no—
587C2×D244—21no—
588C2×D244—21no—
589C2×D244—21no—
590C2×D244—21no—
591C2×D244—21no—
592C2×D244—41no—
593C2×D244—41no—
594C2×D244—41no—
595C2×D244—41no—
596C2×D244—41no—
597C2×D244—41no—
598C2×D244—41no—
599C2×D244—41no—
600C2×D244—44no—
601C2×D244—44no—
602C2×D244—44no—
603C2×D244C2411yescharacteristic
604C2×D244C2411yescharacteristic
605C2×D244C2411yescharacteristic
606C2×D244C2411yescharacteristic
607C2×D244C2411yescharacteristic
608C2×C4×D61—21no—
609C2×C4×D61—21no—
610C2×C4×D61—21no—
611C2×C4×D61—21no—
612C2×C4×D61—21no—
613C2×C4×D61—21no—
614C2×C4×D61—21no—
615C2×Dic122C2411yescharacteristic
616C4⋊C4×C61—21no—
617C4⋊C4×C61—21no—
618C4⋊C4×C61—21no—
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61—21no—
623C4⋊C4×C61—21no—
624C4⋊C4×C61—21no—
625C4⋊C4×C61—21no—
626C4⋊C4×C61—21no—
627C4⋊C4×C61—21no—
628C4⋊C4×C61—21no—
629C4⋊C4×C61—21no—
630C4⋊C4×C61—21no—
631C4⋊C4×C61—21no—
632C4⋊C4×C61—21no—
633C4⋊C4×C61—21no—
634C4⋊C4×C61—21no—
635C4⋊C4×C61C2×D411yescharacteristic
636C4⋊C4×C61C2×D411yescharacteristic
637C4⋊C4×C61C2×D411yescharacteristic
638C4⋊C4×C61C2×D411yescharacteristic
639C4⋊C4×C61C2×D411yescharacteristic
640C4⋊C4×C61C2×D411yescharacteristic
641C4⋊C4×C61C2411yescharacteristic
642C4⋊C4×C61C2411yescharacteristic
643C4⋊C4×C61C2411yescharacteristic
644C4⋊C4×C61C2411yescharacteristic
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61—21no—
659C22⋊C4×C61—21no—
660C22⋊C4×C61—21no—
661C22⋊C4×C61—21no—
662C22⋊C4×C61C2×D411yescharacteristic
663C22⋊C4×C61C2×D411yescharacteristic
664C22⋊C4×C61C2×D411yescharacteristic
665C22⋊C4×C61C2×D411yescharacteristic
666C22⋊C4×C61C2×D411yescharacteristic
667C22⋊C4×C61C2×D411yescharacteristic
668C22⋊C4×C61C2×D411yescharacteristic
669C22⋊C4×C61C2×D411yescharacteristic
670C22⋊C4×C61C2×D411yescharacteristic
671C22⋊C4×C61C2×D411yescharacteristic
672C42×C61—21no—
673C42×C61—21no—
674C42×C61—21no—
675C42×C61—21no—
676C42×C61—21no—
677C42×C61C2411yescharacteristic
678C42×C61C2411yescharacteristic
679C22⋊Dic61—21no—
680C22⋊Dic61—21no—
681C22⋊Dic61—21no—
682#11758202—41no—
683#11758202—41no—
684#11758202—41no—
685#11758201—22no—
686#11758201—22no—
687#11758201—22no—
688#11758201—22no—
689#11758201—22no—
690#11758201—22no—
691#11758201—41no—
692#11758201—41no—
693#11758201—41no—
694#11758201—41no—
695#11758201—41no—
696#11758201—41no—
697#11758201—41no—
698#11758201—41no—
699#11758201—41no—
700#11758200—41no—
701#11758199—22no—
702#11758199—22no—
703#11758199—41no—
704#11758199—41no—
705#11758199—41no—
706#11758198—21no—
707#11758198—21no—
708#11758198—21no—
709#11758198—21no—
710#11758198—21no—
711#11758198—21no—
712#11758198—21no—
713#11758198—21no—
714#11758198—21no—
715#11758198—21no—
716#11758198—21no—
717#11758198—21no—
718#11758198—21no—
719#11758198—21no—
720C4⋊Dic61C2411yescharacteristic
721C4⋊Dic61C2411yescharacteristic
722#11758196—21no—
723#11758196—21no—
724C4×Dic61—21no—
725#11758194—41no—
726#11758194—41no—
727#11758194—41no—
728#11758194—41no—
729C2×#92418—41no—
730C2×#92418—41no—
731C2×#92418—41no—
732C2×#92418—41no—
733C2×#92418C2411yescharacteristic
734C2×#92418C2411yescharacteristic
735C2×#92418C2411yescharacteristic
736C2×#92418C2411yescharacteristic
737C2×#92418C2411yescharacteristic
738C2×#92418C2411yescharacteristic
739C2×#92418C2411yescharacteristic
740C2×#92418C2411yescharacteristic
741C23×C61—22no—
742C23×C61—21no—
743C23×C61—41no—
744C23×C61—41no—
745C23×C61C22×D411yescharacteristic
746C23×C61C22×D411yescharacteristic
747C23×C61C22×D411yescharacteristic
748C23×C61C22×D411yescharacteristic
749C23×C61C22×D411yescharacteristic
750C22×D61—21no—
751C22×D61—21no—
752C22×D61—24no—
753C22×D61—21no—
754C22×D61—21no—
755C22×D61—21no—
756C22×D61—42no—
757C22×D61—42no—
758C22×D61—42no—
759C22×D61—42no—
760C22×D61—42no—
761C22×D61—42no—
762C22×D61—42no—
763C22×D61—42no—
764C22×D61—42no—
765C22×D61—42no—
766C22×D61—42no—
767C22×D61—81no—
768C22×D61—81no—
769C22×D61—81no—
770C22×D61—81no—
771C22×D61—81no—
772C22×D61—81no—
773C22×D61—81no—
774C22×D61—81no—
775C22×D61—81no—
776C22×D61—81no—
777C22×D61—81no—
778C22×D61—81no—
779C22×D61—816no—
780Q8×C61—21no—
781Q8×C61—21no—
782Q8×C61—21no—
783Q8×C61—21no—
784Q8×C61—21no—
785Q8×C61—21no—
786Q8×C61—41no—
787Q8×C61—81no—
788Q8×C61—81no—
789Q8×C61—81no—
790D4×C61—22no—
791D4×C61—22no—
792D4×C61—21no—
793D4×C61—21no—
794D4×C61—41no—
795D4×C61—41no—
796D4×C61—41no—
797D4×C61—41no—
798D4×C61—41no—
799D4×C61—42no—
800D4×C61—81no—
801D4×C61—81no—
802D4×C61—81no—
803D4×C61—81no—
804C2×C4×C61—21no—
805C2×C4×C61—21no—
806C2×C4×C61—21no—
807C2×C4×C61—21no—
808C2×C4×C61—21no—
809C2×C4×C61—21no—
810C2×C4×C61—21no—
811C2×C4×C61—21no—
812C2×C4×C61—21no—
813C2×C4×C61—21no—
814C2×C4×C61—21no—
815C2×C4×C61—21no—
816C2×C4×C61—21no—
817C2×C4×C61—21no—
818C2×C4×C61—21no—
819C2×C4×C61—21no—
820C2×C4×C61—21no—
821C2×C4×C61—41no—
822C2×C4×C61—41no—
823C2×C4×C61—41no—
824C2×C4×C61—81no—
825C2×C4×C61—81no—
826C2×C4×C61—81no—
827C2×C4×C61—81no—
828C2×C4×C61—81no—
829C2×C4×C61—81no—
830C2×C4×C61—81no—
831C2×C4×C61C22×D411yescharacteristic
832C2×C4×C61C22×D411yescharacteristic
833C2×C4×C61C22×D411yescharacteristic
834C2×C4×C61C22×D411yescharacteristic
835C2×C4×C61C22×D411yescharacteristic
836C2×C4×C61C22×D411yescharacteristic
837C2×C4×C61C22×D411yescharacteristic
838C2×C4×C61C22×D411yescharacteristic
839C2×C4×C61C22×D411yescharacteristic
840C2×C4×C61C2511yescharacteristic
841C22⋊D61—42no—
842C22⋊D61—42no—
843C22⋊D61—42no—
844C22⋊D61—42no—
845C22⋊D61—42no—
846C22⋊D61—81no—
847C22⋊D61—81no—
848C22⋊D61—81no—
849C22⋊D61—81no—
850C2×Dic61—21no—
851C2×Dic61—21no—
852C2×Dic61—21no—
853D244—24no—
854D244—21no—
855D244—21no—
856D244—21no—
857D244—21no—
858D244—21no—
859D244—21no—
860D244—21no—
861D244—21no—
862D244—42no—
863D244—42no—
864D244—42no—
865D244—42no—
866D244—42no—
867D244—42no—
868D244—42no—
869D244—81no—
870D244—81no—
871D244—81no—
872D244—81no—
873D244H(5,𝔽2)12yes—
874D244H(5,𝔽2)12yes—
875C4×D61—42no—
876C4×D61—42no—
877C4×D61—42no—
878C4×D61—81no—
879C4×D61—81no—
880C4×D61—81no—
881C4×D61—81no—
882Dic122—21no—
883Dic122—21no—
884#92418—21no—
885#92418—21no—
886#92418—21no—
887#92418—21no—
888#92418—21no—
889#92418—21no—
890#92418—21no—
891#92418—21no—
892#61610—611nomaximal, Sylow
893C22×C61—21no—
894C22×C61—21no—
895C22×C61—21no—
896C22×C61—21no—
897C22×C61—21no—
898C22×C61—21no—
899C22×C61—21no—
900C22×C61—21no—
901C22×C61—21no—
902C22×C61—21no—
903C22×C61—21no—
904C22×C61—21no—
905C22×C61—21no—
906C22×C61—21no—
907C22×C61—44no—
908C22×C61—41no—
909C22×C61—41no—
910C22×C61—41no—
911C22×C61#57712yes—
912C22×C61C23×D411yescharacteristic
913C2×D61—22no—
914C2×D61—22no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—41no—
923C2×D61—41no—
924C2×D61—41no—
925C2×D61—41no—
926C2×D61—41no—
927C2×D61—41no—
928C2×D61—84no—
929C2×D61—84no—
930C2×D61—84no—
931C2×D61—84no—
932C2×D61—84no—
933C2×D61—84no—
934C2×D61—162no—
935C2×D61—162no—
936C4×C61—21no—
937C4×C61—21no—
938C4×C61—21no—
939C4×C61—21no—
940C4×C61—21no—
941C4×C61—21no—
942C4×C61—21no—
943C4×C61—21no—
944C4×C61—21no—
945C4×C61—41no—
946C4×C61—41no—
947C4×C61—41no—
948C4×C61—41no—
949C4×C61—41no—
950C4×C61—41no—
951C4×C61—41no—
952C4×C61C2×H(5,𝔽2)11yescharacteristic
953C4×C61C2×H(5,𝔽2)11yescharacteristic
954Dic61—41no—
955Dic61—41no—
956Dic61—41no—
957#3541D6111yescharacteristic, complemented
958#3484—611no—
959#3324—611no—
960#3323—611no—
961#3318—611no—
962#3314—611no—
963#3311—611no—
964#3310—611no—
965#3297—611no—
966#3295—611no—
967#3282—611no—
968D4×SD16—611no—
969#3275—611no—
970#3272—611no—
971#3267—611no—
972#3266—611no—
973#3265—611no—
974#3265—611no—
975#3224—611no—
976#3222—611no—
977#3200—611no—
978#3198—611no—
979#3196—611no—
980#3191—611no—
981#3123—611no—
982#3118—611no—
983#3012—611no—
984#3009—611no—
985#3003—611no—
986C2×#450—611no—
987#2976—611no—
988C2×C61—22no—
989C2×C61—41no—
990C2×C61—41no—
991C2×C61—41no—
992C2×C61—41no—
993C2×C61—81no—
994C2×C61#348411yescharacteristic
995C2×C61C2×#57711yescharacteristic
996C2×C61#358511yescharacteristic
997D61—42no—
998D61—42no—
999D61—81no—
1000D61—81no—
1001D61—81no—
1002C2×H(5,𝔽2)—611no—
1003C23×D4—611no—
1004C2×#137—611no—
1005C2×AGL(1,ℤ/8)—611no—
1006C2×AGL(1,ℤ/8)—611no—
1007C2×AGL(1,ℤ/8)—611no—
1008C2×#135—611no—
1009C22×SD16—611no—
1010C22×SD16—611no—
1011C22×SD16—611no—
1012#563—21no—
1013#562—21no—
1014#556C2×D6111yescharacteristic, complemented
1015#554—21no—
1016#554C2×D6111yescharacteristic, complemented
1017#553—21no—
1018#553C2×D6111yescharacteristic, complemented
1019#552C2×D6111yescharacteristic, complemented
1020D4×Q8C2×D6111yescharacteristic, complemented
1021#548C2×D6111yescharacteristic, complemented
1022#548C2×D6111yescharacteristic, complemented
1023#547C2×D6111yescharacteristic, complemented
1024#546—611no—
1025#546—611no—
1026#546—611no—
1027#546—611no—
1028#546—1221no—
1029#546—1221no—
1030D42—611no—
1031D42—611no—
1032D42—611no—
1033D42—611no—
1034D42—1221no—
1035D42—1221no—
1036#542—21no—
1037#542C2×D6111yescharacteristic, complemented
1038#541C2×D6111yescharacteristic, complemented
1039#539—21no—
1040#538—21no—
1041#538—21no—
1042#537C2×D6111yescharacteristic, complemented
1043#536C2×D6111yescharacteristic, complemented
1044#535—611no—
1045#535—611no—
1046#534—1221no—
1047#534—1221no—
1048#525—611no—
1049#525C2×D6111yescharacteristic
1050#525C2×D6111yescharacteristic, complemented
1051C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1052C2×#120—1221no—
1053C2×#120—1221no—
1054#518—611no—
1055#497—611no—
1056#496—611no—
1057#495—611no—
1058#492—611no—
1059#490—611no—
1060#489—611no—
1061#488—611no—
1062#486—611no—
1063#485—611no—
1064#485—611no—
1065#485—611no—
1066#485—611no—
1067#484—611no—
1068#482—611no—
1069#482—611no—
1070#482—611no—
1071#482—611no—
1072#481—611no—
1073#481—611no—
1074#480—611no—
1075#478—611no—
1076#478—611no—
1077#476—611no—
1078#474—611no—
1079#470—611no—
1080#470—611no—
1081#469—611no—
1082#468—611no—
1083#468—611no—
1084#468—611no—
1085#468—611no—
1086#468—611no—
1087#467—611no—
1088#466—611no—
1089#466—611no—
1090#465—611no—
1091#465—611no—
1092#465—611no—
1093#465—611no—
1094#465—611no—
1095#464—611no—
1096#464—611no—
1097#464—611no—
1098#463—611no—
1099#463—611no—
1100#463—611no—
1101#461—611no—
1102#461—611no—
1103#460—611no—
1104#460—611no—
1105#460—611no—
1106#459—611no—
1107#452—611no—
1108#452—611no—
1109#452—611no—
1110#452—611no—
1111#452—611no—
1112#452—611no—
1113#452—611no—
1114#451—611no—
1115#450—611no—
1116#450—611no—
1117#450—611no—
1118#450—611no—
1119#450—611no—
1120#450—611no—
1121#450—611no—
1122#450—611no—
1123#450—611no—
1124#450—611no—
1125#450—611no—
1126#450—611no—
1127#450—611no—
1128#450—611no—
1129#450—611no—
1130#449—611no—
1131#449—611no—
1132#449—611no—
1133#449—611no—
1134#449—611no—
1135#448—611no—
1136#448—611no—
1137#448—611no—
1138#447—611no—
1139#447—611no—
1140#447—611no—
1141#447—611no—
1142#447—611no—
1143#442—611no—
1144#440—611no—
1145#440—611no—
1146#440—611no—
1147C4×SD16—611no—
1148C4×SD16—611no—
1149C4×SD16—611no—
1150C4×D8—611no—
1151#436—611no—
1152#436—611no—
1153#435—611no—
1154#435—611no—
1155#435—611no—
1156#435—611no—
1157C8×D4—611no—
1158C8×D4—611no—
1159#433—611no—
1160#433—611no—
1161#418—611no—
1162#418—611no—
1163#418—611no—
1164#417—611no—
1165#416—611no—
1166C2×#102—611no—
1167C2×#102—611no—
1168C2×#102—611no—
1169#408—611no—
1170#408—611no—
1171#407—611no—
1172C2×C22⋊C8—611no—
1173C61#6161011yescharacteristic, complemented, Sylow
1174C25—1221no—
1175H(5,𝔽2)—2442no—
1176H(5,𝔽2)—2442no—
1177C2×#41—611no—
1178C2×#41—611no—
1179C2×#41—611no—
1180C2×#41—1221no—
1181C2×#41C22×D6111yescharacteristic
1182C2×#41C22×D6111yescharacteristic
1183C2×#41C22×D6111yescharacteristic, complemented
1184C22×Q8C22×D6111yescharacteristic
1185C22×Q8C22×D6111yescharacteristic, complemented
1186C22×D4—611no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4—611no—
1191C22×D4—611no—
1192C22×D4—611no—
1193C22×D4—611no—
1194C22×D4—1221no—
1195C22×D4—1221no—
1196C22×D4—1221no—
1197C22×D4—1221no—
1198C22×D4—1221no—
1199C22×D4—1221no—
1200C22×D4—1221no—
1201C22×D4—1221no—
1202C22×D4—1221no—
1203C22×D4—1221no—
1204C22×D4—2442no—
1205C22×D4—2442no—
1206C23×C4C22×D6111yescharacteristic
1207#137—2442no—
1208AGL(1,ℤ/8)—2442no—
1209AGL(1,ℤ/8)—2442no—
1210AGL(1,ℤ/8)—2442no—
1211#135—2442no—
1212C2×Q16—611no—
1213C2×Q16—611no—
1214C2×Q16—611no—
1215C2×SD16—611no—
1216C2×SD16—611no—
1217C2×SD16—611no—
1218C2×SD16—611no—
1219C2×SD16—611no—
1220C2×SD16—611no—
1221C2×SD16—611no—
1222C2×SD16—611no—
1223C2×SD16—611no—
1224C2×SD16—611no—
1225C2×SD16—611no—
1226C2×SD16—611no—
1227C2×SD16—611no—
1228C2×SD16—611no—
1229C2×SD16—611no—
1230C2×SD16—611no—
1231C2×SD16—2442no—
1232C2×SD16—2442no—
1233C2×SD16—2442no—
1234C2×D8—611no—
1235C2×D8—611no—
1236C2×D8—611no—
1237C2×D8—611no—
1238C2×D8—611no—
1239C2×M16—611no—
1240C2×M16—611no—
1241C2×M16—611no—
1242C2×M16—611no—
1243C22×C8—611no—
1244C22×C8—611no—
1245C22×C8—611no—
1246C22×C8—611no—
1247C4⋊Q8—21no—
1248C4⋊Q8—21no—
1249C4⋊Q8C22×D6111yescharacteristic, complemented
1250C4⋊Q8C22×D6111yescharacteristic, complemented
1251#127—611no—
1252#127—611no—
1253#127—1221no—
1254#126—21no—
1255#126—21no—
1256#126—21no—
1257#126—21no—
1258#126—21no—
1259#126—21no—
1260#126—21no—
1261#125—21no—
1262#125—21no—
1263#125—21no—
1264#125—21no—
1265#125C22×D6111yescharacteristic, complemented
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—611no—
1272#124—611no—
1273#124—1221no—
1274#124C22×D6111yescharacteristic, complemented
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—1221no—
1284#123—1221no—
1285#123—1221no—
1286#123—1221no—
1287#123—1221no—
1288#123C22⋊D6111yescharacteristic
1289#123C22⋊D6111yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8—21no—
1296C22⋊Q8—21no—
1297C22⋊Q8—21no—
1298C22⋊Q8—21no—
1299C22⋊Q8—21no—
1300C22⋊Q8—611no—
1301C22⋊Q8—611no—
1302C22⋊Q8C22⋊D6111yescharacteristic
1303C22⋊Q8C22⋊D6111yescharacteristic
1304C22⋊Q8C22×D6111yescharacteristic
1305C22⋊Q8C22×D6111yescharacteristic
1306C22⋊Q8C22×D6111yescharacteristic
1307C22⋊Q8C22×D6111yescharacteristic
1308C22⋊Q8C22×D6111yescharacteristic
1309C22⋊Q8C22×D6111yescharacteristic
1310C22⋊Q8C22×D6111yescharacteristic, complemented
1311C22⋊Q8C22×D6111yescharacteristic, complemented
1312C22⋊Q8C22×D6111yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—611no—
1321#121—611no—
1322#121—611no—
1323#121—611no—
1324#121—611no—
1325#121—611no—
1326#121—1221no—
1327#121—1221no—
1328#121—1221no—
1329#121—1221no—
1330#121—1221no—
1331#121—1221no—
1332#121—1221no—
1333#121—1221no—
1334#121—1221no—
1335#121—1221no—
1336#121C22⋊D6111yescharacteristic
1337#121C22⋊D6111yescharacteristic
1338#121C22×D6111yescharacteristic
1339#121C22×D6111yescharacteristic
1340#121C22×D6111yescharacteristic, complemented
1341#120—21no—
1342#120—1221no—
1343#120—1221no—
1344#120—1221no—
1345#120—1221no—
1346#120—1221no—
1347#120—1221no—
1348#120—1221no—
1349#120—1221no—
1350#120—1221no—
1351#120—1221no—
1352#120—1221no—
1353#120—1221no—
1354#120—1221no—
1355#120—1221no—
1356#120—1221no—
1357#120—1221no—
1358#120—1221no—
1359#120C22⋊D6111yescharacteristic
1360#120C22⋊D6111yescharacteristic
1361C4×Q8—21no—
1362C4×Q8C22×D6111yescharacteristic, complemented
1363C4×Q8C22×D6111yescharacteristic, complemented
1364C4×Q8C22×D6111yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4—21no—
1368C4×D4—21no—
1369C4×D4—21no—
1370C4×D4—21no—
1371C4×D4—21no—
1372C4×D4—611no—
1373C4×D4—611no—
1374C4×D4—611no—
1375C4×D4—611no—
1376C4×D4—1221no—
1377C4×D4—1221no—
1378C4×D4—1221no—
1379C4×D4—1221no—
1380C4×D4C22×D6111yescharacteristic
1381C4×D4C22×D6111yescharacteristic
1382C4×D4C22×D6111yescharacteristic
1383C4×D4C22×D6111yescharacteristic
1384C4×D4C22×D6111yescharacteristic, complemented
1385#117—21no—
1386#117—611no—
1387#117C22×D6111yescharacteristic
1388#117C22×D6111yescharacteristic
1389#117C22×D6111yescharacteristic, complemented
1390C2×C4⋊C4—21no—
1391C2×C4⋊C4—21no—
1392C2×C4⋊C4C22×D6111yescharacteristic
1393C2×C4⋊C4C22×D6111yescharacteristic, complemented
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—1221no—
1396C2×C22⋊C4—1221no—
1397C2×C22⋊C4—1221no—
1398C2×C22⋊C4—1221no—
1399C2×C22⋊C4—1221no—
1400C2×C22⋊C4—1221no—
1401#107—611no—
1402#107—611no—
1403#107—611no—
1404#107—611no—
1405#106—611no—
1406#106—611no—
1407#106—611no—
1408#106—611no—
1409C4⋊C8—611no—
1410C4⋊C8—611no—
1411C4⋊C8—611no—
1412C4⋊C8—611no—
1413#103—611no—
1414#103—611no—
1415#103—611no—
1416#103—611no—
1417#103—611no—
1418#103—611no—
1419#103—611no—
1420#103—611no—
1421#103—611no—
1422#103—611no—
1423#102—611no—
1424#102—611no—
1425#102—611no—
1426#102—611no—
1427#102—611no—
1428#102—611no—
1429#102—611no—
1430#102—611no—
1431#102—611no—
1432#102—611no—
1433#102—611no—
1434#102—611no—
1435#102—611no—
1436#102—611no—
1437#102—611no—
1438#102—611no—
1439#102—611no—
1440#102—611no—
1441#102—611no—
1442#102—611no—
1443#102—611no—
1444#102—611no—
1445C22⋊C8—611no—
1446C22⋊C8—611no—
1447C22⋊C8—611no—
1448C22⋊C8—611no—
1449C22⋊C8—611no—
1450C22⋊C8—611no—
1451C22⋊C8—611no—
1452C22⋊C8—611no—
1453C22⋊C8—611no—
1454C22⋊C8—611no—
1455C22⋊C8—611no—
1456C22⋊C8—611no—
1457#97—611no—
1458#97—611no—
1459C4×C8—611no—
1460C4×C8—611no—
1461C24—1221no—
1462C24—1221no—
1463C24—1221no—
1464C24—1221no—
1465C24—1221no—
1466C24—1221no—
1467C24—1221no—
1468C24—1221no—
1469C24—4882no—
1470C24—4882no—
1471C24—2444no—
1472C24C2×C22⋊D6111yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—1222no—
1480#41—1222no—
1481#41—2441no—
1482#41—2441no—
1483#41—2441no—
1484#41—2441no—
1485#41—2444no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—21no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—41no—
1493C2×Q8—611no—
1494C2×Q8C2×C22⋊D6111yescharacteristic
1495C2×Q8C23×D6111yescharacteristic
1496C2×Q8C23×D6111yescharacteristic
1497C2×Q8C23×D6111yescharacteristic
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—611no—
1507C2×D4—611no—
1508C2×D4—1222no—
1509C2×D4—1222no—
1510C2×D4—1222no—
1511C2×D4—1222no—
1512C2×D4—1222no—
1513C2×D4—1222no—
1514C2×D4—1222no—
1515C2×D4—1222no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—1221no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—1221no—
1535C2×D4—1221no—
1536C2×D4—1221no—
1537C2×D4—4882no—
1538C2×D4—4882no—
1539C2×D4—4882no—
1540C2×D4—4882no—
1541C2×D4—2441no—
1542C2×D4—2441no—
1543C2×D4—2441no—
1544C2×D4—2441no—
1545C2×D4—2441no—
1546C2×D4—2441no—
1547C2×D4—2441no—
1548C2×D4—2441no—
1549C2×D4—2444no—
1550C2×D4—2444no—
1551C2×D4—2444no—
1552C2×D4—2444no—
1553C2×D4—2444no—
1554C2×D4—2444no—
1555C2×D4C2×C22⋊D6111yescharacteristic
1556C2×D4C2×C22⋊D6111yescharacteristic
1557C2×D4C2×C22⋊D6111yescharacteristic
1558C2×D4C2×C22⋊D6111yescharacteristic
1559C2×D4C2×C22⋊D6111yescharacteristic
1560C2×D4C2×C22⋊D6111yescharacteristic
1561C2×D4C2×C22⋊D6111yescharacteristic
1562C2×D4C23×D6111yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—1221no—
1573C22×C4—1221no—
1574C22×C4—1221no—
1575C22×C4—1221no—
1576C22×C4—1221no—
1577C22×C4—1221no—
1578C22×C4—1221no—
1579C22×C4C2×C22⋊D6111yescharacteristic
1580C22×C4C2×C22⋊D6111yescharacteristic
1581C22×C4C2×C22⋊D6111yescharacteristic
1582C22×C4C23×D6111yescharacteristic
1583C22×C4C23×D6111yescharacteristic
1584C22×C4C23×D6111yescharacteristic
1585C22×C4C23×D6111yescharacteristic
1586C22×C4C23×D6111yescharacteristic
1587Q16—2441no—
1588Q16—2441no—
1589Q16—2441no—
1590SD16—1222no—
1591SD16—1222no—
1592SD16—1222no—
1593SD16—1222no—
1594SD16—1222no—
1595SD16—1222no—
1596SD16—2441no—
1597SD16—2441no—
1598SD16—2441no—
1599SD16—2441no—
1600SD16—2441no—
1601SD16—2441no—
1602SD16—2441no—
1603SD16—2441no—
1604SD16—2441no—
1605SD16—2441no—
1606D8—1222no—
1607D8—1222no—
1608D8—2441no—
1609D8—2441no—
1610D8—2441no—
1611M16—2441no—
1612M16—2441no—
1613M16—2441no—
1614M16—2441no—
1615C2×C8—611no—
1616C2×C8—611no—
1617C2×C8—611no—
1618C2×C8—611no—
1619C2×C8—611no—
1620C2×C8—611no—
1621C2×C8—611no—
1622C2×C8—611no—
1623C2×C8—2441no—
1624C2×C8—2441no—
1625C2×C8—2441no—
1626C2×C8—2441no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—611no—
1647C4⋊C4—611no—
1648C4⋊C4—1221no—
1649C4⋊C4—1221no—
1650C4⋊C4C2×C22⋊D6111yescharacteristic
1651C4⋊C4C2×C22⋊D6111yescharacteristic
1652C4⋊C4C2×C22⋊D6111yescharacteristic
1653C4⋊C4C2×C22⋊D6111yescharacteristic
1654C4⋊C4C2×C22⋊D6111yescharacteristic
1655C4⋊C4C2×C22⋊D6111yescharacteristic
1656C4⋊C4C23×D6111yescharacteristic
1657C4⋊C4C23×D6111yescharacteristic
1658C4⋊C4C23×D6111yescharacteristic
1659C4⋊C4C23×D6111yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—1221no—
1678C22⋊C4—1221no—
1679C22⋊C4—1221no—
1680C22⋊C4—1221no—
1681C22⋊C4—1221no—
1682C22⋊C4—1221no—
1683C22⋊C4—1221no—
1684C22⋊C4—1221no—
1685C22⋊C4—1221no—
1686C22⋊C4—1221no—
1687C22⋊C4—1221no—
1688C22⋊C4—1221no—
1689C22⋊C4—1221no—
1690C22⋊C4—1221no—
1691C22⋊C4—1221no—
1692C22⋊C4—1221no—
1693C22⋊C4—1221no—
1694C22⋊C4C2×C22⋊D6111yescharacteristic
1695C22⋊C4C2×C22⋊D6111yescharacteristic
1696C22⋊C4C2×C22⋊D6111yescharacteristic
1697C22⋊C4C2×C22⋊D6111yescharacteristic
1698C22⋊C4C2×C22⋊D6111yescharacteristic
1699C22⋊C4C2×C22⋊D6111yescharacteristic
1700C22⋊C4C2×C22⋊D6111yescharacteristic
1701C22⋊C4C2×C22⋊D6111yescharacteristic
1702C22⋊C4C2×C22⋊D6111yescharacteristic
1703C22⋊C4C2×C22⋊D6111yescharacteristic
1704C42—21no—
1705C42—21no—
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—1221no—
1710C42C23×D6111yescharacteristic
1711C42C23×D6111yescharacteristic
1712C23—22no—
1713C23—21no—
1714C23—41no—
1715C23—41no—
1716C23—1224no—
1717C23—1221no—
1718C23—1221no—
1719C23—1221no—
1720C23—1221no—
1721C23—1221no—
1722C23—4881no—
1723C23—4881no—
1724C23—4881no—
1725C23—4881no—
1726C23—4881no—
1727C23—4881no—
1728C23—4881no—
1729C23—4881no—
1730C23—4881no—
1731C23—4881no—
1732C23—4881no—
1733C23—4881no—
1734C23—48816no—
1735C23—2442no—
1736C23—2442no—
1737C23—2442no—
1738C23—2442no—
1739C23—2442no—
1740C23—2442no—
1741C23—2442no—
1742C23—2442no—
1743C23—2442no—
1744C23—2442no—
1745C23—2442no—
1746C23C22×C22⋊D6111yescharacteristic
1747C23C22×C22⋊D6111yescharacteristic
1748C23C22×C22⋊D6111yescharacteristic
1749C23C22×C22⋊D6111yescharacteristic
1750C23C22×C22⋊D6111yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—41no—
1758Q8—81no—
1759Q8—81no—
1760Q8—81no—
1761Q8—1221no—
1762Q8—1221no—
1763D4—22no—
1764D4—22no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—41no—
1771D4—41no—
1772D4—42no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—612no—
1778D4—612no—
1779D4—1224no—
1780D4—1221no—
1781D4—1221no—
1782D4—1221no—
1783D4—1221no—
1784D4—1221no—
1785D4—1221no—
1786D4—1221no—
1787D4—1221no—
1788D4—4881no—
1789D4—4881no—
1790D4—4881no—
1791D4—4881no—
1792D4—4881no—
1793D4—4881no—
1794D4—4881no—
1795D4—4881no—
1796D4—2442no—
1797D4—2442no—
1798D4—2442no—
1799D4—2442no—
1800D4—2442no—
1801D4—2442no—
1802D4—2442no—
1803D4—2442no—
1804D4—2442no—
1805D4—2442no—
1806D4—2442no—
1807D4—2442no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—81no—
1831C2×C4—81no—
1832C2×C4—81no—
1833C2×C4—81no—
1834C2×C4—81no—
1835C2×C4—1221no—
1836C2×C4—1221no—
1837C2×C4—1221no—
1838C2×C4—4881no—
1839C2×C4—4881no—
1840C2×C4—4881no—
1841C2×C4—4881no—
1842C2×C4—2442no—
1843C2×C4—2442no—
1844C2×C4—2442no—
1845C2×C4C22×C22⋊D6111yescharacteristic
1846C2×C4C22×C22⋊D6111yescharacteristic
1847C2×C4C22×C22⋊D6111yescharacteristic
1848C2×C4C22×C22⋊D6111yescharacteristic
1849C2×C4C22×C22⋊D6111yescharacteristic
1850C2×C4C22×C22⋊D6111yescharacteristic
1851C2×C4C22×C22⋊D6111yescharacteristic
1852C2×C4C22×C22⋊D6111yescharacteristic
1853C2×C4C22×C22⋊D6111yescharacteristic
1854C2×C4C24×D6111yescharacteristic
1855C8—1221no—
1856C8—1221no—
1857C8—1221no—
1858C8—1221no—
1859C8—1221no—
1860C8—1221no—
1861C8—1221no—
1862C8—1221no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—44no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—1222no—
1882C22—1222no—
1883C22—9762no—
1884C22—9762no—
1885C22—4884no—
1886C22—4884no—
1887C22—4884no—
1888C22—4884no—
1889C22—4884no—
1890C22—4884no—
1891C22—2441no—
1892C22—2441no—
1893C22—2441no—
1894C22—2441no—
1895C22—2441no—
1896C22—2441no—
1897C22—2441no—
1898C22—2441no—
1899C22—2441no—
1900C22—2441no—
1901C22—2441no—
1902C22—2441no—
1903C22—2441no—
1904C22#1684057012yes—
1905C22C23×C22⋊D6111yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—2441no—
1923C4—2441no—
1924C4—2441no—
1925C4H(5,𝔽2)×D6111yescharacteristic
1926C4H(5,𝔽2)×D6111yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—41no—
1931C2—41no—
1932C2—81no—
1933C2—4881no—
1934C2—4881no—
1935C2—4881no—
1936C2—2442no—
1937C2—2442no—
1938C2#2145945011yescharacteristic
1939C2C2×#1684057011yescharacteristic
1940C2#2146059811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3541C2
socleC22×C61C23×D4
hypercenter#3541D61
hypocenterC61#61610
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #21459452C2semidirect
2. #21458044C2semidirect
3. #21458029C2semidirect
4. #21457954C2semidirect
5. #21457894C2semidirect
6. #21457849C2semidirect
7. #21457834C2semidirect
8. #21457663C2semidirect
9. #21457637C2semidirect
10. #21457527C2semidirect
11. D4×#11758201C2semidirect
12. #21457451C2semidirect
13. #21457419C2semidirect
14. #21457345C2semidirect
15. #21457330C2semidirect
16. #21457315C2semidirect
17. #21457315C2semidirect
18. #21456907C2semidirect
19. #21456885C2semidirect
20. #21456686C2semidirect
21. #21456665C2semidirect
22. #21456649C2semidirect
23. #21456607C2semidirect
24. #21456066C2semidirect
25. #21455997C2semidirect
26. #21455120C2semidirect
27. #21455094C2semidirect
28. #21455045C2semidirect
29. C2×#16839912C2semidirect
30. #21454867C2semidirect
31. C61×#3541C2semidirect
34. C2×#14519808C22semidirect
35. C2×#14519802C22semidirect
36. C2×#14519802C22semidirect
37. C2×#14519802C22semidirect
38. C2×#14519797C22semidirect
39. C22×#11758201C22semidirect
40. C22×#11758201C22semidirect
41. C22×#11758201C22semidirect
62. #16840154C22semidirect
63. #16840152C22semidirect
64. #16840144C22semidirect
65. #16840136C22semidirect
66. #16840128C22semidirect
67. #16840124C22semidirect
68. #16840119C22semidirect
69. #16840110C22semidirect
70. #16840103C22semidirect
71. #16840100C22semidirect
72. #16840100C22semidirect
73. #16840100C22semidirect
74. #16840097C22semidirect
75. #16840086C22semidirect
76. #16840086C22semidirect
77. #16840086C22semidirect
78. #16840083C22semidirect
79. #16840080C22semidirect
80. #16840080C22semidirect
81. #16840075C22semidirect
82. #16840059C22semidirect
83. #16840059C22semidirect
84. #16840049C22semidirect
85. #16840039C22semidirect
86. #16840018C22semidirect
87. #16840018C22semidirect
88. #16840013C22semidirect
89. #16840010C22semidirect
90. #16840010C22semidirect
91. #16840010C22semidirect
92. #16840010C22semidirect
93. #16840010C22semidirect
94. #16840001C22semidirect
95. #16839996C22semidirect
96. #16839996C22semidirect
97. #16839993C22semidirect
98. #16839993C22semidirect
99. #16839993C22semidirect
100. #16839993C22semidirect
101. #16839989C22semidirect
102. #16839984C22semidirect
103. #16839984C22semidirect
104. #16839984C22semidirect
105. #16839977C22semidirect
106. #16839974C22semidirect
107. #16839974C22semidirect
108. #16839964C22semidirect
109. #16839964C22semidirect
110. #16839962C22semidirect
111. #16839962C22semidirect
112. #16839962C22semidirect
113. #16839957C22semidirect
114. #16839924C22semidirect
115. #16839922C22semidirect
116. #16839922C22semidirect
117. #16839922C22semidirect
118. #16839922C22semidirect
119. #16839922C22semidirect
120. #16839922C22semidirect
121. #16839918C22semidirect
125. #16839912C22semidirect
126. #16839912C22semidirect
127. #16839912C22semidirect
128. #16839912C22semidirect
129. #16839912C22semidirect
130. #16839912C22semidirect
131. #16839912C22semidirect
132. #16839912C22semidirect
133. #16839912C22semidirect
134. #16839912C22semidirect
135. #16839912C22semidirect
136. #16839912C22semidirect
137. #16839907C22semidirect
138. #16839907C22semidirect
139. #16839907C22semidirect
140. #16839905C22semidirect
141. #16839905C22semidirect
142. #16839901C22semidirect
143. #16839901C22semidirect
144. #16839901C22semidirect
146. #16839895C22semidirect
147. #16839895C22semidirect
148. #16839895C22semidirect
149. #16839895C22semidirect
150. #16839872C22semidirect
151. #16839860C22semidirect
152. #16839860C22semidirect
153. #16839860C22semidirect
154. C4×#11758201C22semidirect
155. C4×#11758201C22semidirect
156. C4×#11758201C22semidirect
157. C4×#11758199C22semidirect
158. #16839840C22semidirect
159. #16839840C22semidirect
160. #16839834C22semidirect
161. #16839834C22semidirect
162. #16839834C22semidirect
163. #16839834C22semidirect
164. D4×#92418C22semidirect
165. D4×#92418C22semidirect
166. #16839823C22semidirect
167. #16839823C22semidirect
168. #16839766C22semidirect
169. #16839766C22semidirect
170. #16839766C22semidirect
171. #16839761C22semidirect
172. #16839756C22semidirect
173. C2×#14519697C22semidirect
174. C2×#14519697C22semidirect
175. C2×#14519697C22semidirect
176. #16839729C22semidirect
177. #16839729C22semidirect
178. #16839726C22semidirect
179. C2×C22⋊#92418C22semidirect
182. C61×#556C22semidirect
184. C61×#554C22semidirect
186. C61×#553C22semidirect
187. C61×#552C22semidirect
188. D4×Q8×C61C22semidirect
189. C61×#548C22semidirect
190. C61×#548C22semidirect
191. C61×#547C22semidirect
193. C61×#542C22semidirect
194. C61×#541C22semidirect
198. C61×#537C22semidirect
199. C61×#536C22semidirect
201. C61×#525C22semidirect
202. C2×C22⋊Q8×C61C22semidirect
235. C2×#11758202C23semidirect
236. C2×#11758202C23semidirect
237. C2×#11758202C23semidirect
238. C2×#11758200C23semidirect
254. C2×#11758201C23semidirect
255. C2×#11758201C23semidirect
256. C2×#11758201C23semidirect
261. C2×#11758199C23semidirect
264. C2×#11758194C23semidirect
265. C2×#11758194C23semidirect
268. C22×#92418C23semidirect
269. C22×#92418C23semidirect
331. #14519710C23semidirect
332. #14519710C23semidirect
333. #14519710C23semidirect
334. #14519710C23semidirect
335. #14519708C23semidirect
336. #14519708C23semidirect
337. #14519708C23semidirect
338. #14519708C23semidirect
339. C4⋊#92418C23semidirect
340. C4⋊#92418C23semidirect
341. C4⋊#92418C23semidirect
342. C4⋊#92418C23semidirect
343. #14519701C23semidirect
344. #14519701C23semidirect
345. #14519701C23semidirect
346. #14519701C23semidirect
347. #14519701C23semidirect
348. #14519701C23semidirect
349. #14519700C23semidirect
350. #14519700C23semidirect
351. #14519700C23semidirect
352. #14519700C23semidirect
353. #14519698C23semidirect
354. #14519698C23semidirect
371. #14519697C23semidirect
372. #14519697C23semidirect
373. #14519697C23semidirect
374. #14519697C23semidirect
383. C22⋊#92418C23semidirect
384. C22⋊#92418C23semidirect
385. C22⋊#92418C23semidirect
386. C22⋊#92418C23semidirect
387. #14519688C23semidirect
388. #14519688C23semidirect
389. C4×#92418C23semidirect
390. C4×#92418C23semidirect
393. C2×#41×C61C23semidirect
395. C22×Q8×C61C23semidirect
399. C4⋊Q8×C61C23semidirect
400. C4⋊Q8×C61C23semidirect
412. #125×C61C23semidirect
418. #124×C61C23semidirect
447. C22⋊Q8×C61C23semidirect
448. C22⋊Q8×C61C23semidirect
449. C22⋊Q8×C61C23semidirect
461. #121×C61C23semidirect
466. C4×Q8×C61C23semidirect
467. C4×Q8×C61C23semidirect
468. C4×Q8×C61C23semidirect
480. C4×D4×C61C23semidirect
484. #117×C61C23semidirect
488. C2×C4⋊C4×C61C23semidirect
957. #3541D61semidirect
1014. #556C2×D61semidirect
1016. #554C2×D61semidirect
1018. #553C2×D61semidirect
1019. #552C2×D61semidirect
1020. D4×Q8C2×D61semidirect
1021. #548C2×D61semidirect
1022. #548C2×D61semidirect
1023. #547C2×D61semidirect
1037. #542C2×D61semidirect
1038. #541C2×D61semidirect
1042. #537C2×D61semidirect
1043. #536C2×D61semidirect
1050. #525C2×D61semidirect
1051. C2×C22⋊Q8C2×D61semidirect
1173. C61#61610semidirect
1183. C2×#41C22×D61semidirect
1185. C22×Q8C22×D61semidirect
1249. C4⋊Q8C22×D61semidirect
1250. C4⋊Q8C22×D61semidirect
1265. #125C22×D61semidirect
1274. #124C22×D61semidirect
1310. C22⋊Q8C22×D61semidirect
1311. C22⋊Q8C22×D61semidirect
1312. C22⋊Q8C22×D61semidirect
1340. #121C22×D61semidirect
1362. C4×Q8C22×D61semidirect
1363. C4×Q8C22×D61semidirect
1364. C4×Q8C22×D61semidirect
1384. C4×D4C22×D61semidirect
1389. #117C22×D61semidirect
1393. C2×C4⋊C4C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214594522
#214580442
#214580292
#214579542
#214578942
#214578492
#214578342
#214576632
#214576372
#214575272
D4×#117582012
#214574512
#214574192
#214573452
#214573302
#214573152
#214569072
#214568852
#214566862
#214566652
#214566492
#214566072
#214560662
#214559972
#214551202
#214550942
#214550452
C2×#168399122
#214548672
C61×#35412
#6161061