Finite Group Databasebeta

← #30565550

Subgroups — #30565550

Order 15616.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459452C211yesmaximal, characteristic, complemented
2#21458055C211yesmaximal, characteristic, complemented
3#21458014C211yesmaximal, characteristic, complemented
4#21457969C211yesmaximal, characteristic, complemented
5#21457954C211yesmaximal, characteristic, complemented
6#21457834C211yesmaximal, characteristic, complemented
7#21457774C211yesmaximal, characteristic, complemented
8#21457648C211yesmaximal, characteristic, complemented
9#21457626C211yesmaximal, characteristic, complemented
10#21457500C211yesmaximal, characteristic, complemented
11D4×#11758199C211yesmaximal, characteristic, complemented
12#21457439C211yesmaximal, characteristic, complemented
13#21457426C211yesmaximal, characteristic, complemented
14#21457360C211yesmaximal, characteristic, complemented
15#21457300C211yesmaximal, characteristic, complemented
16#21457300C211yesmaximal, characteristic, complemented
17#21457295C211yesmaximal, characteristic, complemented
18#21456907C211yesmaximal, characteristic, complemented
19#21456863C211yesmaximal, characteristic, complemented
20#21456680C211yesmaximal, characteristic, complemented
21#21456665C211yesmaximal, characteristic, complemented
22#21456633C211yesmaximal, characteristic, complemented
23#21456607C211yesmaximal, characteristic, complemented
24#21456057C211yesmaximal, characteristic, complemented
25#21455997C211yesmaximal, characteristic, complemented
26#21455120C211yesmaximal, characteristic, complemented
27#21455085C211yesmaximal, characteristic, complemented
28#21455045C211yesmaximal, characteristic, complemented
29C2×#16839895C211yesmaximal, characteristic, complemented
30#21454867C211yesmaximal, characteristic, complemented
31C61×#3542C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic, complemented
33C23×D244C2211yescharacteristic, complemented
34C2×#14519803C2211yescharacteristic, complemented
35C2×#14519802C2211yescharacteristic, complemented
36C2×#14519802C2211yescharacteristic, complemented
37C2×#14519802C2211yescharacteristic, complemented
38C2×#14519797C2211yescharacteristic, complemented
39C22×#11758199C2211yescharacteristic, complemented
40C22×#11758199C2211yescharacteristic, complemented
41C22×#11758199C2211yescharacteristic, complemented
42#16840408C2211yescharacteristic
43#16840408C2211yescharacteristic, complemented
44#16840408C2211yescharacteristic, complemented
45#16840408C2211yescharacteristic, complemented
46#16840403—21no—
47#16840403—21no—
48D4×D244C2211yescharacteristic
49D4×D244C2211yescharacteristic, complemented
50D4×D244C2211yescharacteristic, complemented
51D4×D244C2211yescharacteristic, complemented
52#16840396—21no—
53#16840396—21no—
54#16840331C2211yescharacteristic, complemented
55#16840326C2211yescharacteristic, complemented
56#16840323—21no—
57#16840323—21no—
58#16840273C2211yescharacteristic, complemented
59#120×D61—21no—
60#120×D61—21no—
61#16840236C2211yescharacteristic, complemented
62#16840152C2211yescharacteristic, complemented
63#16840149C2211yescharacteristic, complemented
64#16840144C2211yescharacteristic, complemented
65#16840138C2211yescharacteristic, complemented
66#16840128C2211yescharacteristic, complemented
67#16840124C2211yescharacteristic, complemented
68#16840119C2211yescharacteristic, complemented
69#16840110C2211yescharacteristic, complemented
70#16840103C2211yescharacteristic, complemented
71#16840100C2211yescharacteristic, complemented
72#16840092C2211yescharacteristic, complemented
73#16840086C2211yescharacteristic, complemented
74#16840086C2211yescharacteristic, complemented
75#16840086C2211yescharacteristic, complemented
76#16840083C2211yescharacteristic, complemented
77#16840083C2211yescharacteristic, complemented
78#16840083C2211yescharacteristic, complemented
79#16840080C2211yescharacteristic, complemented
80#16840075C2211yescharacteristic, complemented
81#16840075C2211yescharacteristic, complemented
82#16840059C2211yescharacteristic, complemented
83#16840059C2211yescharacteristic, complemented
84#16840049C2211yescharacteristic, complemented
85#16840039C2211yescharacteristic, complemented
86#16840013C2211yescharacteristic, complemented
87#16840013C2211yescharacteristic, complemented
88#16840013C2211yescharacteristic, complemented
89#16840013C2211yescharacteristic, complemented
90#16840013C2211yescharacteristic, complemented
91#16840010C2211yescharacteristic, complemented
92#16840006C2211yescharacteristic, complemented
93#16840006C2211yescharacteristic, complemented
94#16840001C2211yescharacteristic, complemented
95#16839996C2211yescharacteristic, complemented
96#16839996C2211yescharacteristic, complemented
97#16839996C2211yescharacteristic, complemented
98#16839996C2211yescharacteristic, complemented
99#16839993C2211yescharacteristic, complemented
100#16839993C2211yescharacteristic, complemented
101#16839989C2211yescharacteristic, complemented
102#16839984C2211yescharacteristic, complemented
103#16839977C2211yescharacteristic, complemented
104#16839977C2211yescharacteristic, complemented
105#16839977C2211yescharacteristic, complemented
106#16839974C2211yescharacteristic, complemented
107#16839974C2211yescharacteristic, complemented
108#16839962C2211yescharacteristic, complemented
109#16839957C2211yescharacteristic, complemented
110#16839957C2211yescharacteristic, complemented
111#16839957C2211yescharacteristic, complemented
112#16839954C2211yescharacteristic, complemented
113#16839954C2211yescharacteristic, complemented
114#16839924C2211yescharacteristic, complemented
115#16839922C2211yescharacteristic, complemented
116#16839922C2211yescharacteristic, complemented
117#16839913C2211yescharacteristic, complemented
118#16839912C2211yescharacteristic, complemented
119#16839912C2211yescharacteristic, complemented
120#16839912C2211yescharacteristic, complemented
121#16839912C2211yescharacteristic, complemented
122#16839912C2211yescharacteristic, complemented
123#16839907C2211yescharacteristic, complemented
124#16839907C2211yescharacteristic, complemented
125#16839907C2211yescharacteristic, complemented
126#16839905C2211yescharacteristic, complemented
127#16839905C2211yescharacteristic, complemented
128#16839905C2211yescharacteristic, complemented
129#16839905C2211yescharacteristic, complemented
130#16839905C2211yescharacteristic, complemented
131#16839905C2211yescharacteristic, complemented
132#16839896C2211yescharacteristic, complemented
133#16839896C2211yescharacteristic, complemented
134#16839896C2211yescharacteristic, complemented
135#16839895C2211yescharacteristic
136#16839895C2211yescharacteristic, complemented
137#16839895C2211yescharacteristic, complemented
138#16839895C2211yescharacteristic, complemented
139#16839895C2211yescharacteristic, complemented
140#16839895C2211yescharacteristic, complemented
141#16839895C2211yescharacteristic, complemented
142#16839895C2211yescharacteristic, complemented
143#16839895C2211yescharacteristic, complemented
144#16839895C2211yescharacteristic, complemented
145#16839895C2211yescharacteristic, complemented
146#16839895C2211yescharacteristic, complemented
147#16839895C2211yescharacteristic, complemented
148#16839895C2211yescharacteristic, complemented
149#16839895C2211yescharacteristic, complemented
150#16839872C2211yescharacteristic, complemented
151#16839872C2211yescharacteristic, complemented
152#16839872C2211yescharacteristic, complemented
153#16839860C2211yescharacteristic, complemented
154C4×#11758201C2211yescharacteristic, complemented
155C4×#11758199C2211yescharacteristic, complemented
156C4×#11758199C2211yescharacteristic, 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×#562—21no—
181C61×#560—21no—
182C61×#555C2211yescharacteristic, complemented
183C61×#553C2211yescharacteristic, complemented
184C61×#552C2211yescharacteristic, complemented
185C61×#551—21no—
186C61×#550C2211yescharacteristic, complemented
187C61×#547C2211yescharacteristic, complemented
188C61×#546—21no—
189C61×#546C2211yescharacteristic, complemented
190C61×#546C2211yescharacteristic, complemented
191D42×C61C2211yescharacteristic, complemented
192C61×#542C2211yescharacteristic, complemented
193C61×#540—21no—
194C61×#540C2211yescharacteristic, complemented
195C61×#538—21no—
196C61×#537C2211yescharacteristic, complemented
197C61×#535—21no—
198C61×#535C2211yescharacteristic, complemented
199C61×#534—21no—
200C61×#525C2211yescharacteristic
201C61×#525C2211yescharacteristic, complemented
202C2×#121×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#14519803—42no—
231#14519802—42no—
232#14519802—42no—
233#14519802—42no—
234#14519797—42no—
235C2×#11758202C2311yescharacteristic, complemented
236C2×#11758200C2311yescharacteristic, complemented
237C2×#11758200C2311yescharacteristic, complemented
238C2×#11758200C2311yescharacteristic, complemented
239C2×#11758201C2311yescharacteristic
240C2×#11758201C2311yescharacteristic
241C2×#11758201C2311yescharacteristic
242C2×#11758201C2311yescharacteristic
243C2×#11758201C2311yescharacteristic, complemented
244C2×#11758199—42no—
245C2×#11758199—42no—
246C2×#11758199—42no—
247C2×#11758199C2311yescharacteristic
248C2×#11758199C2311yescharacteristic
249C2×#11758199C2311yescharacteristic
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758199C2311yescharacteristic
253C2×#11758199C2311yescharacteristic
254C2×#11758199C2311yescharacteristic
255C2×#11758199C2311yescharacteristic
256C2×#11758199C2311yescharacteristic
257C2×#11758199C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic, complemented
260C2×#11758199C2311yescharacteristic, complemented
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#14519700C2311yescharacteristic, complemented
346#14519700C2311yescharacteristic, complemented
347#14519700C2311yescharacteristic, complemented
348#14519700C2311yescharacteristic, complemented
349#14519698C2311yescharacteristic, complemented
350#14519698C2311yescharacteristic, complemented
351#14519698C2311yescharacteristic, complemented
352#14519698C2311yescharacteristic, 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×C61—21no—
392C2×#41×C61C2311yescharacteristic
393C2×#41×C61C2311yescharacteristic
394C2×#41×C61C2311yescharacteristic, complemented
395C22×D4×C61—21no—
396C22×D4×C61—21no—
397C22×D4×C61C2311yescharacteristic
398C22×D4×C61C2311yescharacteristic, complemented
399C23×C4×C61C2311yescharacteristic
400C4⋊Q8×C61C2311yescharacteristic, complemented
401#127×C61—21no—
402#127×C61—21no—
403#127×C61C2311yescharacteristic, complemented
404#126×C61—21no—
405#126×C61—21no—
406#126×C61—21no—
407#125×C61—21no—
408#125×C61C2311yescharacteristic, complemented
409#124×C61—21no—
410#124×C61—21no—
411#124×C61—21no—
412#124×C61—21no—
413#124×C61C2311yescharacteristic, complemented
414#123×C61—21no—
415#123×C61—21no—
416#123×C61—21no—
417#123×C61—21no—
418#123×C61—21no—
419#123×C61—21no—
420#123×C61—21no—
421#123×C61—21no—
422#123×C61—21no—
423#123×C61—21no—
424#123×C61D411yescharacteristic
425#123×C61D411yescharacteristic
426C22⋊Q8×C61—21no—
427C22⋊Q8×C61—21no—
428C22⋊Q8×C61—21no—
429C22⋊Q8×C61D411yescharacteristic
430C22⋊Q8×C61D411yescharacteristic
431C22⋊Q8×C61C2311yescharacteristic
432C22⋊Q8×C61C2311yescharacteristic
433C22⋊Q8×C61C2311yescharacteristic, complemented
434#121×C61—21no—
435#121×C61—21no—
436#121×C61—21no—
437#121×C61—21no—
438#121×C61—21no—
439#121×C61—21no—
440#121×C61—21no—
441#121×C61—21no—
442#121×C61—21no—
443#121×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61—21no—
447#121×C61—21no—
448#121×C61D411yescharacteristic
449#121×C61D411yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic, complemented
457#121×C61C2311yescharacteristic, complemented
458#121×C61C2311yescharacteristic, complemented
459#120×C61—21no—
460#120×C61—21no—
461#120×C61—21no—
462#120×C61—21no—
463#120×C61—21no—
464#120×C61—21no—
465#120×C61—21no—
466#120×C61D411yescharacteristic
467#120×C61D411yescharacteristic
468C4×Q8×C61C2311yescharacteristic, complemented
469C4×D4×C61—21no—
470C4×D4×C61—21no—
471C4×D4×C61—21no—
472C4×D4×C61—21no—
473C4×D4×C61C2311yescharacteristic
474C4×D4×C61C2311yescharacteristic
475C4×D4×C61C2311yescharacteristic
476C4×D4×C61C2311yescharacteristic
477C4×D4×C61C2311yescharacteristic, complemented
478C4×D4×C61C2311yescharacteristic, complemented
479C4×D4×C61C2311yescharacteristic, complemented
480#117×C61—21no—
481#117×C61—21no—
482#117×C61C2311yescharacteristic
483#117×C61C2311yescharacteristic
484#117×C61C2311yescharacteristic, complemented
485C2×C4⋊C4×C61C2311yescharacteristic
486C2×C4⋊C4×C61C2311yescharacteristic, complemented
487C2×C22⋊C4×C61—21no—
488C2×C22⋊C4×C61—21no—
489C2×C22⋊C4×C61—21no—
490C24×C61—21no—
491C24×C61—21no—
492C24×C61C2×D411yescharacteristic
493C23×D61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—21no—
498C23×D61—21no—
499C23×D61—21no—
500C23×D61—21no—
501C23×D61—44no—
502C23×D61—82no—
503C23×D61—82no—
504#41×C61—41no—
505#41×C61—41no—
506#41×C61—41no—
507#41×C61—41no—
508#41×C61—41no—
509#41×C61—41no—
510#41×C61—82no—
511C2×Q8×C61—21no—
512C2×Q8×C61C2×D411yescharacteristic
513C2×Q8×C61C2411yescharacteristic
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—21no—
517C2×D4×C61—21no—
518C2×D4×C61—21no—
519C2×D4×C61—21no—
520C2×D4×C61—21no—
521C2×D4×C61—21no—
522C2×D4×C61—21no—
523C2×D4×C61—21no—
524C2×D4×C61—21no—
525C2×D4×C61—21no—
526C2×D4×C61—21no—
527C2×D4×C61—21no—
528C2×D4×C61—21no—
529C2×D4×C61—41no—
530C2×D4×C61—41no—
531C2×D4×C61—41no—
532C2×D4×C61—41no—
533C2×D4×C61—82no—
534C2×D4×C61—82no—
535C2×D4×C61C2×D411yescharacteristic
536C2×D4×C61C2×D411yescharacteristic
537C2×D4×C61C2×D411yescharacteristic
538C2×D4×C61C2×D411yescharacteristic
539C2×D4×C61C2×D411yescharacteristic
540C2×D4×C61C2×D411yescharacteristic
541C2×D4×C61C2×D411yescharacteristic
542C2×D4×C61C2411yescharacteristic
543C2×D4×C61C2411yescharacteristic
544C2×D4×C61C2411yescharacteristic
545C22×C4×C61—21no—
546C22×C4×C61—21no—
547C22×C4×C61—21no—
548C22×C4×C61—21no—
549C22×C4×C61—21no—
550C22×C4×C61—21no—
551C22×C4×C61—21no—
552C22×C4×C61—41no—
553C22×C4×C61—41no—
554C22×C4×C61C2×D411yescharacteristic
555C22×C4×C61C2×D411yescharacteristic
556C22×C4×C61C2×D411yescharacteristic
557C22×C4×C61C2411yescharacteristic
558C22×C4×C61C2411yescharacteristic
559C22×C4×C61C2411yescharacteristic
560C22×C4×C61C2411yescharacteristic
561C22×C4×C61C2411yescharacteristic
562C2×C22⋊D61—21no—
563C2×C22⋊D61—21no—
564C2×C22⋊D61—21no—
565C2×C22⋊D61—21no—
566C2×C22⋊D61—21no—
567C2×C22⋊D61—21no—
568C2×C22⋊D61—21no—
569C2×C22⋊D61—21no—
570C2×C22⋊D61—21no—
571#11758226—44no—
572D4×D61—44no—
573D4×D61—44no—
574D4×D61—44no—
575D4×D61—82no—
576D4×D61—82no—
577D4×D61—82no—
578D4×D61—82no—
579#11758222—22no—
580#11758222—22no—
581#11758222—41no—
582#11758222—41no—
583#11758222—41no—
584#11758222—41no—
585C2×D244—21no—
586C2×D244—22no—
587C2×D244—22no—
588C2×D244—22no—
589C2×D244—22no—
590C2×D244—22no—
591C2×D244—22no—
592C2×D244—22no—
593C2×D244—22no—
594C2×D244—21no—
595C2×D244—21no—
596C2×D244—21no—
597C2×D244—21no—
598C2×D244—21no—
599C2×D244—21no—
600C2×D244—21no—
601C2×D244—21no—
602C2×D244—21no—
603C2×D244—21no—
604C2×D244—21no—
605C2×D244—41no—
606C2×D244—41no—
607C2×D244—41no—
608C2×D244—41no—
609C2×D244—41no—
610C2×D244—41no—
611C2×D244—41no—
612C2×D244—41no—
613C2×D244—44no—
614C2×D244—44no—
615C2×D244—44no—
616C2×D244C2411yescharacteristic
617C2×D244C2411yescharacteristic
618C2×D244C2411yescharacteristic
619C2×D244C2411yescharacteristic
620C2×D244C2411yescharacteristic
621C2×C4×D61—21no—
622C2×C4×D61—21no—
623C2×C4×D61—21no—
624C2×C4×D61—21no—
625C2×C4×D61—21no—
626C2×C4×D61—21no—
627C2×C4×D61—21no—
628C2×Dic122C2411yescharacteristic
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×C61—21no—
636C4⋊C4×C61—21no—
637C4⋊C4×C61—21no—
638C4⋊C4×C61C2×D411yescharacteristic
639C4⋊C4×C61C2×D411yescharacteristic
640C4⋊C4×C61C2×D411yescharacteristic
641C4⋊C4×C61C2×D411yescharacteristic
642C4⋊C4×C61C2×D411yescharacteristic
643C4⋊C4×C61C2×D411yescharacteristic
644C4⋊C4×C61C2411yescharacteristic
645C4⋊C4×C61C2411yescharacteristic
646C4⋊C4×C61C2411yescharacteristic
647C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
663C22⋊C4×C61—21no—
664C22⋊C4×C61—21no—
665C22⋊C4×C61—21no—
666C22⋊C4×C61—21no—
667C22⋊C4×C61C2×D411yescharacteristic
668C22⋊C4×C61C2×D411yescharacteristic
669C22⋊C4×C61C2×D411yescharacteristic
670C22⋊C4×C61C2×D411yescharacteristic
671C22⋊C4×C61C2×D411yescharacteristic
672C22⋊C4×C61C2×D411yescharacteristic
673C22⋊C4×C61C2×D411yescharacteristic
674C22⋊C4×C61C2×D411yescharacteristic
675C22⋊C4×C61C2×D411yescharacteristic
676C22⋊C4×C61C2×D411yescharacteristic
677C42×C61—21no—
678C42×C61—21no—
679C42×C61—21no—
680C42×C61C2411yescharacteristic
681C42×C61C2411yescharacteristic
682C22⋊Dic61—21no—
683C22⋊Dic61—21no—
684C22⋊Dic61—21no—
685#11758202—41no—
686#11758201—22no—
687#11758201—22no—
688#11758201—41no—
689#11758201—41no—
690#11758201—41no—
691#11758200—41no—
692#11758200—41no—
693#11758200—41no—
694#11758199—22no—
695#11758199—22no—
696#11758199—22no—
697#11758199—22no—
698#11758199—22no—
699#11758199—22no—
700#11758199—41no—
701#11758199—41no—
702#11758199—41no—
703#11758199—41no—
704#11758199—41no—
705#11758199—41no—
706#11758199—41no—
707#11758199—41no—
708#11758199—41no—
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—
720#11758198—21no—
721#11758198—21no—
722#11758198—21no—
723C4⋊Dic61C2411yescharacteristic
724C4⋊Dic61C2411yescharacteristic
725#11758196—21no—
726#11758196—21no—
727C4×Dic61—21no—
728#11758194—41no—
729#11758194—41no—
730#11758194—41no—
731#11758194—41no—
732C2×#92418—41no—
733C2×#92418—41no—
734C2×#92418—41no—
735C2×#92418—41no—
736C2×#92418C2411yescharacteristic
737C2×#92418C2411yescharacteristic
738C2×#92418C2411yescharacteristic
739C2×#92418C2411yescharacteristic
740C2×#92418C2411yescharacteristic
741C2×#92418C2411yescharacteristic
742C2×#92418C2411yescharacteristic
743C2×#92418C2411yescharacteristic
744C23×C61—22no—
745C23×C61—21no—
746C23×C61—21no—
747C23×C61—21no—
748C23×C61—41no—
749C23×C61—41no—
750C23×C61—42no—
751C23×C61—81no—
752C23×C61—81no—
753C23×C61—81no—
754C23×C61—81no—
755C23×C61—81no—
756C23×C61C22×D411yescharacteristic
757C23×C61C22×D411yescharacteristic
758C23×C61C22×D411yescharacteristic
759C23×C61C22×D411yescharacteristic
760C23×C61C22×D411yescharacteristic
761C22×D61—21no—
762C22×D61—21no—
763C22×D61—24no—
764C22×D61—21no—
765C22×D61—21no—
766C22×D61—21no—
767C22×D61—42no—
768C22×D61—42no—
769C22×D61—42no—
770C22×D61—42no—
771C22×D61—42no—
772C22×D61—42no—
773C22×D61—42no—
774C22×D61—42no—
775C22×D61—42no—
776C22×D61—42no—
777C22×D61—42no—
778C22×D61—81no—
779C22×D61—81no—
780C22×D61—81no—
781C22×D61—81no—
782C22×D61—81no—
783C22×D61—81no—
784C22×D61—81no—
785C22×D61—81no—
786C22×D61—81no—
787C22×D61—81no—
788C22×D61—81no—
789C22×D61—81no—
790C22×D61—816no—
791Q8×C61—21no—
792Q8×C61—21no—
793Q8×C61—41no—
794Q8×C61—81no—
795D4×C61—22no—
796D4×C61—22no—
797D4×C61—21no—
798D4×C61—21no—
799D4×C61—21no—
800D4×C61—21no—
801D4×C61—21no—
802D4×C61—21no—
803D4×C61—41no—
804D4×C61—41no—
805D4×C61—41no—
806D4×C61—41no—
807D4×C61—41no—
808D4×C61—42no—
809D4×C61—81no—
810D4×C61—81no—
811D4×C61—81no—
812D4×C61—81no—
813D4×C61—81no—
814D4×C61—81no—
815D4×C61—81no—
816D4×C61—81no—
817D4×C61—81no—
818D4×C61—81no—
819D4×C61—81no—
820D4×C61—81no—
821D4×C61—81no—
822D4×C61—81no—
823C2×C4×C61—21no—
824C2×C4×C61—21no—
825C2×C4×C61—21no—
826C2×C4×C61—21no—
827C2×C4×C61—21no—
828C2×C4×C61—21no—
829C2×C4×C61—21no—
830C2×C4×C61—21no—
831C2×C4×C61—21no—
832C2×C4×C61—21no—
833C2×C4×C61—21no—
834C2×C4×C61—21no—
835C2×C4×C61—21no—
836C2×C4×C61—21no—
837C2×C4×C61—21no—
838C2×C4×C61—41no—
839C2×C4×C61—41no—
840C2×C4×C61—41no—
841C2×C4×C61—42no—
842C2×C4×C61—81no—
843C2×C4×C61—81no—
844C2×C4×C61—81no—
845C2×C4×C61—81no—
846C2×C4×C61—81no—
847C2×C4×C61—81no—
848C2×C4×C61C22×D411yescharacteristic
849C2×C4×C61C22×D411yescharacteristic
850C2×C4×C61C22×D411yescharacteristic
851C2×C4×C61C22×D411yescharacteristic
852C2×C4×C61C22×D411yescharacteristic
853C2×C4×C61C22×D411yescharacteristic
854C2×C4×C61C22×D411yescharacteristic
855C2×C4×C61C22×D411yescharacteristic
856C2×C4×C61C22×D411yescharacteristic
857C2×C4×C61C2511yescharacteristic
858C22⋊D61—42no—
859C22⋊D61—42no—
860C22⋊D61—42no—
861C22⋊D61—42no—
862C22⋊D61—42no—
863C22⋊D61—81no—
864C22⋊D61—81no—
865C22⋊D61—81no—
866C22⋊D61—81no—
867C2×Dic61—21no—
868C2×Dic61—21no—
869C2×Dic61—21no—
870D244—24no—
871D244—21no—
872D244—21no—
873D244—21no—
874D244—21no—
875D244—21no—
876D244—21no—
877D244—21no—
878D244—21no—
879D244—42no—
880D244—42no—
881D244—42no—
882D244—42no—
883D244—42no—
884D244—42no—
885D244—42no—
886D244—81no—
887D244—81no—
888D244—81no—
889D244—81no—
890D244H(5,𝔽2)12yes—
891D244H(5,𝔽2)12yes—
892C4×D61—42no—
893C4×D61—42no—
894C4×D61—42no—
895C4×D61—81no—
896C4×D61—81no—
897C4×D61—81no—
898C4×D61—81no—
899Dic122—21no—
900Dic122—21no—
901#92418—21no—
902#92418—21no—
903#92418—21no—
904#92418—21no—
905#92418—21no—
906#92418—21no—
907#92418—21no—
908#92418—21no—
909#61609—611nomaximal, Sylow
910C22×C61—21no—
911C22×C61—21no—
912C22×C61—21no—
913C22×C61—21no—
914C22×C61—21no—
915C22×C61—21no—
916C22×C61—21no—
917C22×C61—21no—
918C22×C61—21no—
919C22×C61—21no—
920C22×C61—21no—
921C22×C61—21no—
922C22×C61—21no—
923C22×C61—21no—
924C22×C61—44no—
925C22×C61—41no—
926C22×C61—41no—
927C22×C61—41no—
928C22×C61—41no—
929C22×C61—41no—
930C22×C61—41no—
931C22×C61—41no—
932C22×C61—41no—
933C22×C61—41no—
934C22×C61—162no—
935C22×C61—162no—
936C22×C61#57612yes—
937C22×C61C23×D411yescharacteristic
938C2×D61—22no—
939C2×D61—22no—
940C2×D61—41no—
941C2×D61—41no—
942C2×D61—41no—
943C2×D61—41no—
944C2×D61—41no—
945C2×D61—41no—
946C2×D61—41no—
947C2×D61—41no—
948C2×D61—41no—
949C2×D61—41no—
950C2×D61—41no—
951C2×D61—41no—
952C2×D61—41no—
953C2×D61—84no—
954C2×D61—84no—
955C2×D61—84no—
956C2×D61—84no—
957C2×D61—84no—
958C2×D61—84no—
959C2×D61—162no—
960C2×D61—162no—
961C4×C61—21no—
962C4×C61—21no—
963C4×C61—21no—
964C4×C61—21no—
965C4×C61—21no—
966C4×C61—21no—
967C4×C61—21no—
968C4×C61—21no—
969C4×C61—21no—
970C4×C61—41no—
971C4×C61—41no—
972C4×C61—41no—
973C4×C61—41no—
974C4×C61—41no—
975C4×C61C2×H(5,𝔽2)11yescharacteristic
976C4×C61C2×H(5,𝔽2)11yescharacteristic
977Dic61—41no—
978Dic61—41no—
979Dic61—41no—
980#3542D6111yescharacteristic, complemented
981#3484—611no—
982#3325—611no—
983#3322—611no—
984#3319—611no—
985#3318—611no—
986#3310—611no—
987#3306—611no—
988#3296—611no—
989#3294—611no—
990#3280—611no—
991D4×D8—611no—
992#3274—611no—
993#3273—611no—
994#3268—611no—
995#3264—611no—
996#3264—611no—
997#3264—611no—
998#3224—611no—
999#3220—611no—
1000#3199—611no—
1001#3198—611no—
1002#3194—611no—
1003#3191—611no—
1004#3122—611no—
1005#3118—611no—
1006#3012—611no—
1007#3008—611no—
1008#3003—611no—
1009C2×#447—611no—
1010#2976—611no—
1011C2×C61—22no—
1012C2×C61—41no—
1013C2×C61—41no—
1014C2×C61—41no—
1015C2×C61—41no—
1016C2×C61—81no—
1017C2×C61—81no—
1018C2×C61—81no—
1019C2×C61#348411yescharacteristic
1020C2×C61C2×#57611yescharacteristic
1021C2×C61#358511yescharacteristic
1022D61—42no—
1023D61—42no—
1024D61—81no—
1025D61—81no—
1026D61—81no—
1027C2×H(5,𝔽2)—611no—
1028C23×D4—611no—
1029C2×AGL(1,ℤ/8)—611no—
1030C2×AGL(1,ℤ/8)—611no—
1031C2×AGL(1,ℤ/8)—611no—
1032C2×AGL(1,ℤ/8)—611no—
1033C2×#135—611no—
1034C22×D8—611no—
1035C22×D8—611no—
1036C22×D8—611no—
1037#562—21no—
1038#560—21no—
1039#555C2×D6111yescharacteristic, complemented
1040#553C2×D6111yescharacteristic, complemented
1041#552C2×D6111yescharacteristic, complemented
1042#551—21no—
1043#550C2×D6111yescharacteristic, complemented
1044#547C2×D6111yescharacteristic, complemented
1045#546—21no—
1046#546—611no—
1047#546—611no—
1048#546—611no—
1049#546—611no—
1050#546—1221no—
1051#546—1221no—
1052#546C2×D6111yescharacteristic, complemented
1053#546C2×D6111yescharacteristic, complemented
1054D42—611no—
1055D42—611no—
1056D42—611no—
1057D42—611no—
1058D42—1221no—
1059D42—1221no—
1060D42C2×D6111yescharacteristic, complemented
1061#542C2×D6111yescharacteristic, complemented
1062#540—21no—
1063#540C2×D6111yescharacteristic, complemented
1064#538—21no—
1065#537C2×D6111yescharacteristic, complemented
1066#535—21no—
1067#535—611no—
1068#535—611no—
1069#535C2×D6111yescharacteristic, complemented
1070#534—21no—
1071#534—1221no—
1072#534—1221no—
1073#525—611no—
1074#525C2×D6111yescharacteristic
1075#525C2×D6111yescharacteristic, complemented
1076C2×#121C2×D6111yescharacteristic, complemented
1077C2×#120—1221no—
1078C2×#120—1221no—
1079#518—611no—
1080#496—611no—
1081#496—611no—
1082#495—611no—
1083#493—611no—
1084#490—611no—
1085#489—611no—
1086#488—611no—
1087#486—611no—
1088#485—611no—
1089#485—611no—
1090#483—611no—
1091#482—611no—
1092#482—611no—
1093#482—611no—
1094#482—611no—
1095#482—611no—
1096#482—611no—
1097#481—611no—
1098#480—611no—
1099#480—611no—
1100#478—611no—
1101#478—611no—
1102#476—611no—
1103#474—611no—
1104#469—611no—
1105#469—611no—
1106#469—611no—
1107#469—611no—
1108#469—611no—
1109#468—611no—
1110#468—611no—
1111#468—611no—
1112#467—611no—
1113#466—611no—
1114#466—611no—
1115#466—611no—
1116#466—611no—
1117#465—611no—
1118#465—611no—
1119#465—611no—
1120#464—611no—
1121#463—611no—
1122#463—611no—
1123#463—611no—
1124#463—611no—
1125#463—611no—
1126#460—611no—
1127#459—611no—
1128#459—611no—
1129#459—611no—
1130#459—611no—
1131#459—611no—
1132#452—611no—
1133#452—611no—
1134#452—611no—
1135#450—611no—
1136#450—611no—
1137#450—611no—
1138#450—611no—
1139#450—611no—
1140#450—611no—
1141#449—611no—
1142#449—611no—
1143#449—611no—
1144#449—611no—
1145#449—611no—
1146#449—611no—
1147#449—611no—
1148#449—611no—
1149#449—611no—
1150#447—611no—
1151#447—611no—
1152#447—611no—
1153#447—611no—
1154#447—611no—
1155#447—611no—
1156#447—611no—
1157#447—611no—
1158#447—611no—
1159#447—611no—
1160#447—611no—
1161#447—611no—
1162#447—611no—
1163#447—611no—
1164#447—611no—
1165#447—611no—
1166#447—611no—
1167#447—611no—
1168#442—611no—
1169#442—611no—
1170#442—611no—
1171#440—611no—
1172C4×SD16—611no—
1173C4×D8—611no—
1174C4×D8—611no—
1175C4×D8—611no—
1176#436—611no—
1177#436—611no—
1178#435—611no—
1179#435—611no—
1180#435—611no—
1181#435—611no—
1182C8×D4—611no—
1183C8×D4—611no—
1184#433—611no—
1185#433—611no—
1186#418—611no—
1187#418—611no—
1188#418—611no—
1189#417—611no—
1190#416—611no—
1191C2×#102—611no—
1192C2×#102—611no—
1193C2×#102—611no—
1194#408—611no—
1195#408—611no—
1196#407—611no—
1197C2×C22⋊C8—611no—
1198C61#6160911yescharacteristic, complemented, Sylow
1199C25—1221no—
1200H(5,𝔽2)—2442no—
1201H(5,𝔽2)—2442no—
1202C2×#41—21no—
1203C2×#41—611no—
1204C2×#41—611no—
1205C2×#41—611no—
1206C2×#41—1221no—
1207C2×#41C22×D6111yescharacteristic
1208C2×#41C22×D6111yescharacteristic
1209C2×#41C22×D6111yescharacteristic, complemented
1210C22×D4—21no—
1211C22×D4—21no—
1212C22×D4—611no—
1213C22×D4—611no—
1214C22×D4—611no—
1215C22×D4—611no—
1216C22×D4—611no—
1217C22×D4—611no—
1218C22×D4—611no—
1219C22×D4—611no—
1220C22×D4—1221no—
1221C22×D4—1221no—
1222C22×D4—1221no—
1223C22×D4—1221no—
1224C22×D4—1221no—
1225C22×D4—1221no—
1226C22×D4—1221no—
1227C22×D4—1221no—
1228C22×D4—1221no—
1229C22×D4—1221no—
1230C22×D4—2442no—
1231C22×D4—2442no—
1232C22×D4C22×D6111yescharacteristic
1233C22×D4C22×D6111yescharacteristic, complemented
1234C23×C4C22×D6111yescharacteristic
1235AGL(1,ℤ/8)—2442no—
1236AGL(1,ℤ/8)—2442no—
1237AGL(1,ℤ/8)—2442no—
1238AGL(1,ℤ/8)—2442no—
1239#135—2442no—
1240C2×Q16—611no—
1241C2×SD16—611no—
1242C2×SD16—611no—
1243C2×SD16—611no—
1244C2×SD16—611no—
1245C2×SD16—611no—
1246C2×SD16—611no—
1247C2×SD16—611no—
1248C2×SD16—611no—
1249C2×D8—611no—
1250C2×D8—611no—
1251C2×D8—611no—
1252C2×D8—611no—
1253C2×D8—611no—
1254C2×D8—611no—
1255C2×D8—611no—
1256C2×D8—611no—
1257C2×D8—611no—
1258C2×D8—611no—
1259C2×D8—611no—
1260C2×D8—611no—
1261C2×D8—611no—
1262C2×D8—611no—
1263C2×D8—611no—
1264C2×D8—2442no—
1265C2×D8—2442no—
1266C2×D8—2442no—
1267C2×M16—611no—
1268C2×M16—611no—
1269C2×M16—611no—
1270C2×M16—611no—
1271C22×C8—611no—
1272C22×C8—611no—
1273C22×C8—611no—
1274C22×C8—611no—
1275C4⋊Q8C22×D6111yescharacteristic, complemented
1276#127—21no—
1277#127—21no—
1278#127—611no—
1279#127—611no—
1280#127—1221no—
1281#127C22×D6111yescharacteristic, complemented
1282#126—21no—
1283#126—21no—
1284#126—21no—
1285#125—21no—
1286#125C22×D6111yescharacteristic, complemented
1287#124—21no—
1288#124—21no—
1289#124—21no—
1290#124—21no—
1291#124—611no—
1292#124—611no—
1293#124—1221no—
1294#124C22×D6111yescharacteristic, complemented
1295#123—21no—
1296#123—21no—
1297#123—21no—
1298#123—21no—
1299#123—21no—
1300#123—21no—
1301#123—21no—
1302#123—21no—
1303#123—21no—
1304#123—21no—
1305#123—1221no—
1306#123—1221no—
1307#123—1221no—
1308#123—1221no—
1309#123—1221no—
1310#123C22⋊D6111yescharacteristic
1311#123C22⋊D6111yescharacteristic
1312C22⋊Q8—21no—
1313C22⋊Q8—21no—
1314C22⋊Q8—21no—
1315C22⋊Q8—611no—
1316C22⋊Q8—611no—
1317C22⋊Q8C22⋊D6111yescharacteristic
1318C22⋊Q8C22⋊D6111yescharacteristic
1319C22⋊Q8C22×D6111yescharacteristic
1320C22⋊Q8C22×D6111yescharacteristic
1321C22⋊Q8C22×D6111yescharacteristic, complemented
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121—21no—
1334#121—21no—
1335#121—21no—
1336#121—611no—
1337#121—611no—
1338#121—611no—
1339#121—611no—
1340#121—611no—
1341#121—611no—
1342#121—1221no—
1343#121—1221no—
1344#121—1221no—
1345#121—1221no—
1346#121—1221no—
1347#121—1221no—
1348#121—1221no—
1349#121—1221no—
1350#121—1221no—
1351#121—1221no—
1352#121C22⋊D6111yescharacteristic
1353#121C22⋊D6111yescharacteristic
1354#121C22×D6111yescharacteristic
1355#121C22×D6111yescharacteristic
1356#121C22×D6111yescharacteristic
1357#121C22×D6111yescharacteristic
1358#121C22×D6111yescharacteristic
1359#121C22×D6111yescharacteristic
1360#121C22×D6111yescharacteristic, complemented
1361#121C22×D6111yescharacteristic, complemented
1362#121C22×D6111yescharacteristic, complemented
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120—21no—
1367#120—21no—
1368#120—21no—
1369#120—21no—
1370#120—1221no—
1371#120—1221no—
1372#120—1221no—
1373#120—1221no—
1374#120—1221no—
1375#120—1221no—
1376#120—1221no—
1377#120—1221no—
1378#120—1221no—
1379#120—1221no—
1380#120—1221no—
1381#120—1221no—
1382#120—1221no—
1383#120—1221no—
1384#120—1221no—
1385#120—1221no—
1386#120—1221no—
1387#120C22⋊D6111yescharacteristic
1388#120C22⋊D6111yescharacteristic
1389C4×Q8C22×D6111yescharacteristic, complemented
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—21no—
1393C4×D4—21no—
1394C4×D4—611no—
1395C4×D4—611no—
1396C4×D4—611no—
1397C4×D4—611no—
1398C4×D4—1221no—
1399C4×D4—1221no—
1400C4×D4—1221no—
1401C4×D4—1221no—
1402C4×D4C22×D6111yescharacteristic
1403C4×D4C22×D6111yescharacteristic
1404C4×D4C22×D6111yescharacteristic
1405C4×D4C22×D6111yescharacteristic
1406C4×D4C22×D6111yescharacteristic, complemented
1407C4×D4C22×D6111yescharacteristic, complemented
1408C4×D4C22×D6111yescharacteristic, complemented
1409#117—21no—
1410#117—21no—
1411#117—611no—
1412#117C22×D6111yescharacteristic
1413#117C22×D6111yescharacteristic
1414#117C22×D6111yescharacteristic, complemented
1415C2×C4⋊C4C22×D6111yescharacteristic
1416C2×C4⋊C4C22×D6111yescharacteristic, complemented
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—21no—
1419C2×C22⋊C4—21no—
1420C2×C22⋊C4—1221no—
1421C2×C22⋊C4—1221no—
1422C2×C22⋊C4—1221no—
1423C2×C22⋊C4—1221no—
1424C2×C22⋊C4—1221no—
1425C2×C22⋊C4—1221no—
1426#107—611no—
1427#107—611no—
1428#107—611no—
1429#107—611no—
1430#106—611no—
1431#106—611no—
1432#106—611no—
1433#106—611no—
1434C4⋊C8—611no—
1435C4⋊C8—611no—
1436C4⋊C8—611no—
1437C4⋊C8—611no—
1438#103—611no—
1439#103—611no—
1440#103—611no—
1441#103—611no—
1442#103—611no—
1443#103—611no—
1444#102—611no—
1445#102—611no—
1446#102—611no—
1447#102—611no—
1448#102—611no—
1449#102—611no—
1450#102—611no—
1451#102—611no—
1452#102—611no—
1453#102—611no—
1454#102—611no—
1455#102—611no—
1456#102—611no—
1457#102—611no—
1458#102—611no—
1459#102—611no—
1460#102—611no—
1461#102—611no—
1462#102—611no—
1463#102—611no—
1464#102—611no—
1465#102—611no—
1466#102—611no—
1467#102—611no—
1468#102—611no—
1469#102—611no—
1470C22⋊C8—611no—
1471C22⋊C8—611no—
1472C22⋊C8—611no—
1473C22⋊C8—611no—
1474C22⋊C8—611no—
1475C22⋊C8—611no—
1476C22⋊C8—611no—
1477C22⋊C8—611no—
1478C22⋊C8—611no—
1479C22⋊C8—611no—
1480C22⋊C8—611no—
1481C22⋊C8—611no—
1482#97—611no—
1483#97—611no—
1484C4×C8—611no—
1485C4×C8—611no—
1486C24—21no—
1487C24—21no—
1488C24—1221no—
1489C24—1221no—
1490C24—1221no—
1491C24—1221no—
1492C24—1221no—
1493C24—1221no—
1494C24—1221no—
1495C24—1221no—
1496C24—4882no—
1497C24—4882no—
1498C24—2444no—
1499C24C2×C22⋊D6111yescharacteristic
1500#41—41no—
1501#41—41no—
1502#41—41no—
1503#41—41no—
1504#41—41no—
1505#41—41no—
1506#41—82no—
1507#41—1222no—
1508#41—1222no—
1509#41—2441no—
1510#41—2441no—
1511#41—2441no—
1512#41—2441no—
1513#41—2444no—
1514C2×Q8—21no—
1515C2×Q8—611no—
1516C2×Q8C2×C22⋊D6111yescharacteristic
1517C2×Q8C23×D6111yescharacteristic
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—82no—
1538C2×D4—82no—
1539C2×D4—611no—
1540C2×D4—611no—
1541C2×D4—611no—
1542C2×D4—611no—
1543C2×D4—611no—
1544C2×D4—1222no—
1545C2×D4—1222no—
1546C2×D4—1222no—
1547C2×D4—1222no—
1548C2×D4—1222no—
1549C2×D4—1222no—
1550C2×D4—1222no—
1551C2×D4—1222no—
1552C2×D4—1221no—
1553C2×D4—1221no—
1554C2×D4—1221no—
1555C2×D4—1221no—
1556C2×D4—1221no—
1557C2×D4—1221no—
1558C2×D4—1221no—
1559C2×D4—1221no—
1560C2×D4—1221no—
1561C2×D4—1221no—
1562C2×D4—1221no—
1563C2×D4—1221no—
1564C2×D4—1221no—
1565C2×D4—1221no—
1566C2×D4—1221no—
1567C2×D4—1221no—
1568C2×D4—1221no—
1569C2×D4—1221no—
1570C2×D4—1221no—
1571C2×D4—1221no—
1572C2×D4—1221no—
1573C2×D4—4882no—
1574C2×D4—4882no—
1575C2×D4—4882no—
1576C2×D4—4882no—
1577C2×D4—2441no—
1578C2×D4—2441no—
1579C2×D4—2441no—
1580C2×D4—2441no—
1581C2×D4—2441no—
1582C2×D4—2441no—
1583C2×D4—2441no—
1584C2×D4—2441no—
1585C2×D4—2444no—
1586C2×D4—2444no—
1587C2×D4—2444no—
1588C2×D4—2444no—
1589C2×D4—2444no—
1590C2×D4—2444no—
1591C2×D4C2×C22⋊D6111yescharacteristic
1592C2×D4C2×C22⋊D6111yescharacteristic
1593C2×D4C2×C22⋊D6111yescharacteristic
1594C2×D4C2×C22⋊D6111yescharacteristic
1595C2×D4C2×C22⋊D6111yescharacteristic
1596C2×D4C2×C22⋊D6111yescharacteristic
1597C2×D4C2×C22⋊D6111yescharacteristic
1598C2×D4C23×D6111yescharacteristic
1599C2×D4C23×D6111yescharacteristic
1600C2×D4C23×D6111yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—21no—
1607C22×C4—21no—
1608C22×C4—41no—
1609C22×C4—41no—
1610C22×C4—1221no—
1611C22×C4—1221no—
1612C22×C4—1221no—
1613C22×C4—1221no—
1614C22×C4—1221no—
1615C22×C4—1221no—
1616C22×C4—1221no—
1617C22×C4C2×C22⋊D6111yescharacteristic
1618C22×C4C2×C22⋊D6111yescharacteristic
1619C22×C4C2×C22⋊D6111yescharacteristic
1620C22×C4C23×D6111yescharacteristic
1621C22×C4C23×D6111yescharacteristic
1622C22×C4C23×D6111yescharacteristic
1623C22×C4C23×D6111yescharacteristic
1624C22×C4C23×D6111yescharacteristic
1625Q16—2441no—
1626SD16—1222no—
1627SD16—1222no—
1628SD16—2441no—
1629SD16—2441no—
1630SD16—2441no—
1631SD16—2441no—
1632SD16—2441no—
1633SD16—2441no—
1634D8—1222no—
1635D8—1222no—
1636D8—1222no—
1637D8—1222no—
1638D8—1222no—
1639D8—1222no—
1640D8—2441no—
1641D8—2441no—
1642D8—2441no—
1643D8—2441no—
1644D8—2441no—
1645D8—2441no—
1646D8—2441no—
1647D8—2441no—
1648D8—2441no—
1649M16—2441no—
1650M16—2441no—
1651M16—2441no—
1652M16—2441no—
1653C2×C8—611no—
1654C2×C8—611no—
1655C2×C8—611no—
1656C2×C8—611no—
1657C2×C8—611no—
1658C2×C8—611no—
1659C2×C8—611no—
1660C2×C8—611no—
1661C2×C8—2441no—
1662C2×C8—2441no—
1663C2×C8—2441no—
1664C2×C8—2441no—
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—21no—
1671C4⋊C4—21no—
1672C4⋊C4—21no—
1673C4⋊C4—21no—
1674C4⋊C4—611no—
1675C4⋊C4—611no—
1676C4⋊C4—1221no—
1677C4⋊C4—1221no—
1678C4⋊C4C2×C22⋊D6111yescharacteristic
1679C4⋊C4C2×C22⋊D6111yescharacteristic
1680C4⋊C4C2×C22⋊D6111yescharacteristic
1681C4⋊C4C2×C22⋊D6111yescharacteristic
1682C4⋊C4C2×C22⋊D6111yescharacteristic
1683C4⋊C4C2×C22⋊D6111yescharacteristic
1684C4⋊C4C23×D6111yescharacteristic
1685C4⋊C4C23×D6111yescharacteristic
1686C4⋊C4C23×D6111yescharacteristic
1687C4⋊C4C23×D6111yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4—21no—
1701C22⋊C4—21no—
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—21no—
1707C22⋊C4—1221no—
1708C22⋊C4—1221no—
1709C22⋊C4—1221no—
1710C22⋊C4—1221no—
1711C22⋊C4—1221no—
1712C22⋊C4—1221no—
1713C22⋊C4—1221no—
1714C22⋊C4—1221no—
1715C22⋊C4—1221no—
1716C22⋊C4—1221no—
1717C22⋊C4—1221no—
1718C22⋊C4—1221no—
1719C22⋊C4—1221no—
1720C22⋊C4—1221no—
1721C22⋊C4—1221no—
1722C22⋊C4—1221no—
1723C22⋊C4—1221no—
1724C22⋊C4C2×C22⋊D6111yescharacteristic
1725C22⋊C4C2×C22⋊D6111yescharacteristic
1726C22⋊C4C2×C22⋊D6111yescharacteristic
1727C22⋊C4C2×C22⋊D6111yescharacteristic
1728C22⋊C4C2×C22⋊D6111yescharacteristic
1729C22⋊C4C2×C22⋊D6111yescharacteristic
1730C22⋊C4C2×C22⋊D6111yescharacteristic
1731C22⋊C4C2×C22⋊D6111yescharacteristic
1732C22⋊C4C2×C22⋊D6111yescharacteristic
1733C22⋊C4C2×C22⋊D6111yescharacteristic
1734C42—21no—
1735C42—21no—
1736C42—21no—
1737C42—1221no—
1738C42C23×D6111yescharacteristic
1739C42C23×D6111yescharacteristic
1740C23—22no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—41no—
1745C23—41no—
1746C23—42no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—81no—
1752C23—1224no—
1753C23—1221no—
1754C23—1221no—
1755C23—1221no—
1756C23—1221no—
1757C23—1221no—
1758C23—4881no—
1759C23—4881no—
1760C23—4881no—
1761C23—4881no—
1762C23—4881no—
1763C23—4881no—
1764C23—4881no—
1765C23—4881no—
1766C23—4881no—
1767C23—4881no—
1768C23—4881no—
1769C23—4881no—
1770C23—48816no—
1771C23—2442no—
1772C23—2442no—
1773C23—2442no—
1774C23—2442no—
1775C23—2442no—
1776C23—2442no—
1777C23—2442no—
1778C23—2442no—
1779C23—2442no—
1780C23—2442no—
1781C23—2442no—
1782C23C22×C22⋊D6111yescharacteristic
1783C23C22×C22⋊D6111yescharacteristic
1784C23C22×C22⋊D6111yescharacteristic
1785C23C22×C22⋊D6111yescharacteristic
1786C23C22×C22⋊D6111yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—41no—
1790Q8—81no—
1791Q8—1221no—
1792Q8—1221no—
1793D4—22no—
1794D4—22no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—41no—
1802D4—41no—
1803D4—41no—
1804D4—41no—
1805D4—41no—
1806D4—42no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4—81no—
1815D4—81no—
1816D4—81no—
1817D4—81no—
1818D4—81no—
1819D4—81no—
1820D4—81no—
1821D4—612no—
1822D4—612no—
1823D4—1224no—
1824D4—1221no—
1825D4—1221no—
1826D4—1221no—
1827D4—1221no—
1828D4—1221no—
1829D4—1221no—
1830D4—1221no—
1831D4—1221no—
1832D4—4881no—
1833D4—4881no—
1834D4—4881no—
1835D4—4881no—
1836D4—4881no—
1837D4—4881no—
1838D4—4881no—
1839D4—4881no—
1840D4—2442no—
1841D4—2442no—
1842D4—2442no—
1843D4—2442no—
1844D4—2442no—
1845D4—2442no—
1846D4—2442no—
1847D4—2442no—
1848D4—2442no—
1849D4—2442no—
1850D4—2442no—
1851D4—2442no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—42no—
1871C2×C4—81no—
1872C2×C4—81no—
1873C2×C4—81no—
1874C2×C4—81no—
1875C2×C4—81no—
1876C2×C4—81no—
1877C2×C4—1221no—
1878C2×C4—1221no—
1879C2×C4—1221no—
1880C2×C4—4881no—
1881C2×C4—4881no—
1882C2×C4—4881no—
1883C2×C4—4881no—
1884C2×C4—2442no—
1885C2×C4—2442no—
1886C2×C4—2442no—
1887C2×C4C22×C22⋊D6111yescharacteristic
1888C2×C4C22×C22⋊D6111yescharacteristic
1889C2×C4C22×C22⋊D6111yescharacteristic
1890C2×C4C22×C22⋊D6111yescharacteristic
1891C2×C4C22×C22⋊D6111yescharacteristic
1892C2×C4C22×C22⋊D6111yescharacteristic
1893C2×C4C22×C22⋊D6111yescharacteristic
1894C2×C4C22×C22⋊D6111yescharacteristic
1895C2×C4C22×C22⋊D6111yescharacteristic
1896C2×C4C24×D6111yescharacteristic
1897C8—1221no—
1898C8—1221no—
1899C8—1221no—
1900C8—1221no—
1901C8—1221no—
1902C8—1221no—
1903C8—1221no—
1904C8—1221no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—21no—
1915C22—21no—
1916C22—21no—
1917C22—21no—
1918C22—21no—
1919C22—44no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—162no—
1930C22—162no—
1931C22—1222no—
1932C22—1222no—
1933C22—9762no—
1934C22—9762no—
1935C22—4884no—
1936C22—4884no—
1937C22—4884no—
1938C22—4884no—
1939C22—4884no—
1940C22—4884no—
1941C22—2441no—
1942C22—2441no—
1943C22—2441no—
1944C22—2441no—
1945C22—2441no—
1946C22—2441no—
1947C22—2441no—
1948C22—2441no—
1949C22—2441no—
1950C22—2441no—
1951C22—2441no—
1952C22—2441no—
1953C22—2441no—
1954C22#1684056512yes—
1955C22C23×C22⋊D6111yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—21no—
1961C4—21no—
1962C4—21no—
1963C4—21no—
1964C4—21no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—2441no—
1971C4—2441no—
1972C4—2441no—
1973C4H(5,𝔽2)×D6111yescharacteristic
1974C4H(5,𝔽2)×D6111yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—41no—
1978C2—41no—
1979C2—41no—
1980C2—81no—
1981C2—81no—
1982C2—81no—
1983C2—4881no—
1984C2—4881no—
1985C2—4881no—
1986C2—2442no—
1987C2—2442no—
1988C2#2145945011yescharacteristic
1989C2C2×#1684056511yescharacteristic
1990C2#2146059811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3542C2
socleC22×C61C23×D4
hypercenter#3542D61
hypocenterC61#61609
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #525 ◁ #3542

Complements

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

NH ≅ G/Ntype
1. #21459452C2semidirect
2. #21458055C2semidirect
3. #21458014C2semidirect
4. #21457969C2semidirect
5. #21457954C2semidirect
6. #21457834C2semidirect
7. #21457774C2semidirect
8. #21457648C2semidirect
9. #21457626C2semidirect
10. #21457500C2semidirect
11. D4×#11758199C2semidirect
12. #21457439C2semidirect
13. #21457426C2semidirect
14. #21457360C2semidirect
15. #21457300C2semidirect
16. #21457300C2semidirect
17. #21457295C2semidirect
18. #21456907C2semidirect
19. #21456863C2semidirect
20. #21456680C2semidirect
21. #21456665C2semidirect
22. #21456633C2semidirect
23. #21456607C2semidirect
24. #21456057C2semidirect
25. #21455997C2semidirect
26. #21455120C2semidirect
27. #21455085C2semidirect
28. #21455045C2semidirect
29. C2×#16839895C2semidirect
30. #21454867C2semidirect
31. C61×#3542C2semidirect
32. C2×#14519823C22semidirect
33. C23×D244C22semidirect
34. C2×#14519803C22semidirect
35. C2×#14519802C22semidirect
36. C2×#14519802C22semidirect
37. C2×#14519802C22semidirect
38. C2×#14519797C22semidirect
39. C22×#11758199C22semidirect
40. C22×#11758199C22semidirect
41. C22×#11758199C22semidirect
43. #16840408C22semidirect
44. #16840408C22semidirect
45. #16840408C22semidirect
49. D4×D244C22semidirect
50. D4×D244C22semidirect
51. D4×D244C22semidirect
54. #16840331C22semidirect
55. #16840326C22semidirect
58. #16840273C22semidirect
61. #16840236C22semidirect
62. #16840152C22semidirect
63. #16840149C22semidirect
64. #16840144C22semidirect
65. #16840138C22semidirect
66. #16840128C22semidirect
67. #16840124C22semidirect
68. #16840119C22semidirect
69. #16840110C22semidirect
70. #16840103C22semidirect
71. #16840100C22semidirect
72. #16840092C22semidirect
73. #16840086C22semidirect
74. #16840086C22semidirect
75. #16840086C22semidirect
76. #16840083C22semidirect
77. #16840083C22semidirect
78. #16840083C22semidirect
79. #16840080C22semidirect
80. #16840075C22semidirect
81. #16840075C22semidirect
82. #16840059C22semidirect
83. #16840059C22semidirect
84. #16840049C22semidirect
85. #16840039C22semidirect
86. #16840013C22semidirect
87. #16840013C22semidirect
88. #16840013C22semidirect
89. #16840013C22semidirect
90. #16840013C22semidirect
91. #16840010C22semidirect
92. #16840006C22semidirect
93. #16840006C22semidirect
94. #16840001C22semidirect
95. #16839996C22semidirect
96. #16839996C22semidirect
97. #16839996C22semidirect
98. #16839996C22semidirect
99. #16839993C22semidirect
100. #16839993C22semidirect
101. #16839989C22semidirect
102. #16839984C22semidirect
103. #16839977C22semidirect
104. #16839977C22semidirect
105. #16839977C22semidirect
106. #16839974C22semidirect
107. #16839974C22semidirect
108. #16839962C22semidirect
109. #16839957C22semidirect
110. #16839957C22semidirect
111. #16839957C22semidirect
112. #16839954C22semidirect
113. #16839954C22semidirect
114. #16839924C22semidirect
115. #16839922C22semidirect
116. #16839922C22semidirect
117. #16839913C22semidirect
118. #16839912C22semidirect
119. #16839912C22semidirect
120. #16839912C22semidirect
121. #16839912C22semidirect
122. #16839912C22semidirect
123. #16839907C22semidirect
124. #16839907C22semidirect
125. #16839907C22semidirect
126. #16839905C22semidirect
127. #16839905C22semidirect
128. #16839905C22semidirect
129. #16839905C22semidirect
130. #16839905C22semidirect
131. #16839905C22semidirect
132. #16839896C22semidirect
133. #16839896C22semidirect
134. #16839896C22semidirect
136. #16839895C22semidirect
137. #16839895C22semidirect
138. #16839895C22semidirect
139. #16839895C22semidirect
140. #16839895C22semidirect
141. #16839895C22semidirect
142. #16839895C22semidirect
143. #16839895C22semidirect
144. #16839895C22semidirect
145. #16839895C22semidirect
146. #16839895C22semidirect
147. #16839895C22semidirect
148. #16839895C22semidirect
149. #16839895C22semidirect
150. #16839872C22semidirect
151. #16839872C22semidirect
152. #16839872C22semidirect
153. #16839860C22semidirect
154. C4×#11758201C22semidirect
155. C4×#11758199C22semidirect
156. C4×#11758199C22semidirect
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×#555C22semidirect
183. C61×#553C22semidirect
184. C61×#552C22semidirect
186. C61×#550C22semidirect
187. C61×#547C22semidirect
189. C61×#546C22semidirect
190. C61×#546C22semidirect
191. D42×C61C22semidirect
192. C61×#542C22semidirect
194. C61×#540C22semidirect
196. C61×#537C22semidirect
198. C61×#535C22semidirect
201. C61×#525C22semidirect
202. C2×#121×C61C22semidirect
235. C2×#11758202C23semidirect
236. C2×#11758200C23semidirect
237. C2×#11758200C23semidirect
238. C2×#11758200C23semidirect
243. C2×#11758201C23semidirect
259. C2×#11758199C23semidirect
260. C2×#11758199C23semidirect
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. #14519700C23semidirect
346. #14519700C23semidirect
347. #14519700C23semidirect
348. #14519700C23semidirect
349. #14519698C23semidirect
350. #14519698C23semidirect
351. #14519698C23semidirect
352. #14519698C23semidirect
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
394. C2×#41×C61C23semidirect
398. C22×D4×C61C23semidirect
400. C4⋊Q8×C61C23semidirect
403. #127×C61C23semidirect
408. #125×C61C23semidirect
413. #124×C61C23semidirect
433. C22⋊Q8×C61C23semidirect
456. #121×C61C23semidirect
457. #121×C61C23semidirect
458. #121×C61C23semidirect
468. C4×Q8×C61C23semidirect
477. C4×D4×C61C23semidirect
478. C4×D4×C61C23semidirect
479. C4×D4×C61C23semidirect
484. #117×C61C23semidirect
486. C2×C4⋊C4×C61C23semidirect
980. #3542D61semidirect
1039. #555C2×D61semidirect
1040. #553C2×D61semidirect
1041. #552C2×D61semidirect
1043. #550C2×D61semidirect
1044. #547C2×D61semidirect
1052. #546C2×D61semidirect
1053. #546C2×D61semidirect
1060. D42C2×D61semidirect
1061. #542C2×D61semidirect
1063. #540C2×D61semidirect
1065. #537C2×D61semidirect
1069. #535C2×D61semidirect
1075. #525C2×D61semidirect
1076. C2×#121C2×D61semidirect
1198. C61#61609semidirect
1209. C2×#41C22×D61semidirect
1233. C22×D4C22×D61semidirect
1275. C4⋊Q8C22×D61semidirect
1281. #127C22×D61semidirect
1286. #125C22×D61semidirect
1294. #124C22×D61semidirect
1321. C22⋊Q8C22×D61semidirect
1360. #121C22×D61semidirect
1361. #121C22×D61semidirect
1362. #121C22×D61semidirect
1389. C4×Q8C22×D61semidirect
1406. C4×D4C22×D61semidirect
1407. C4×D4C22×D61semidirect
1408. C4×D4C22×D61semidirect
1414. #117C22×D61semidirect
1416. 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
#214580552
#214580142
#214579692
#214579542
#214578342
#214577742
#214576482
#214576262
#214575002
D4×#117581992
#214574392
#214574262
#214573602
#214573002
#214572952
#214569072
#214568632
#214566802
#214566652
#214566332
#214566072
#214560572
#214559972
#214551202
#214550852
#214550452
C2×#168398952
#214548672
C61×#35422
#6160961