Finite Group Databasebeta

← C61×#34451 #29537884

Subgroups — C61×#34451 #29537884

Order 15616.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#538C211yesmaximal, characteristic
2C61×#2383C211yesmaximal, characteristic, complemented
3C61×#2378C211yesmaximal, characteristic, complemented
4C61×#2376C211yesmaximal, characteristic, complemented
5C61×#2375C211yesmaximal, characteristic, complemented
6C61×#2373C211yesmaximal, characteristic, complemented
7C61×#2373C211yesmaximal, characteristic, complemented
8C61×#2373C211yesmaximal, characteristic, complemented
9C61×#2372C211yesmaximal, characteristic, complemented
10C61×#2367C211yesmaximal, characteristic, complemented
11C61×#2362C211yesmaximal, characteristic, complemented
12C61×#2359C211yesmaximal, characteristic, complemented
13C61×#2358C211yesmaximal, characteristic, complemented
14C61×#2354C211yesmaximal, characteristic, complemented
15C61×#2353C211yesmaximal, characteristic, complemented
16C61×#2342C211yesmaximal, characteristic, complemented
17C61×#2342C211yesmaximal, characteristic, complemented
18C61×#2337C211yesmaximal, characteristic, complemented
19C61×#2335C211yesmaximal, characteristic, complemented
20C61×#2333C211yesmaximal, characteristic, complemented
21C61×#2333C211yesmaximal, characteristic, complemented
22C61×#2326C211yesmaximal, characteristic, complemented
23C61×#2325C211yesmaximal, characteristic, complemented
24C61×#2324C211yesmaximal, characteristic, complemented
25C61×#2324C211yesmaximal, characteristic, complemented
26C61×#2321C211yesmaximal, characteristic, complemented
27C61×#2321C211yesmaximal, characteristic, complemented
28C61×#2319C211yesmaximal, characteristic, complemented
29C4×#123×C61C211yesmaximal, characteristic, complemented
30C4×#121×C61C211yesmaximal, characteristic, complemented
31C61×#2290C211yesmaximal, characteristic, complemented
32C61×#538C4116yescomplemented
33C2×#126×C61C2211yescharacteristic
34C2×#126×C61C2211yescharacteristic
35C2×#124×C61C2211yescharacteristic
36C2×#124×C61C2211yescharacteristic
37C2×#123×C61C2211yescharacteristic
38C2×#123×C61C2211yescharacteristic
39C2×C22⋊Q8×C61C2211yescharacteristic
40C2×#121×C61C2211yescharacteristic
41C2×#121×C61C2211yescharacteristic
42C2×#121×C61C2211yescharacteristic
43C2×#120×C61C2211yescharacteristic
44C2×#120×C61C2211yescharacteristic
45C2×C4×Q8×C61C2211yescharacteristic, complemented
46C2×C4×D4×C61C2211yescharacteristic
47C2×C4×D4×C61C2211yescharacteristic
48C2×C4×D4×C61C2211yescharacteristic
49C2×C4×D4×C61C2211yescharacteristic
50C2×C4×D4×C61C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic, complemented
53C2×#117×C61C2211yescharacteristic
54C2×#117×C61C2211yescharacteristic
55C2×#117×C61C2211yescharacteristic, complemented
56C22×C22⋊C4×C61C2211yescharacteristic
57C22×C22⋊C4×C61C2211yescharacteristic
58C22×C22⋊C4×C61C2211yescharacteristic
59C22×C42×C61C2211yescharacteristic, complemented
60C61×#391C2211yescharacteristic, complemented
61C61×#391C2211yescharacteristic, complemented
62C61×#391C2211yescharacteristic, complemented
63C61×#390C2211yescharacteristic
64C61×#390C2211yescharacteristic
65C61×#390C2211yescharacteristic
66C61×#390C2211yescharacteristic
67C61×#390C2211yescharacteristic
68C61×#390C2211yescharacteristic
69C61×#390C2211yescharacteristic
70C61×#390C2211yescharacteristic
71C61×#390C2211yescharacteristic, complemented
72C61×#389C2211yescharacteristic, complemented
73C61×#389C2211yescharacteristic, complemented
74C61×#389C2211yescharacteristic, complemented
75C61×#389C2211yescharacteristic, complemented
76C61×#389C2211yescharacteristic, complemented
77C61×#389C2211yescharacteristic, complemented
78C61×#388C2211yescharacteristic
79C61×#388C2211yescharacteristic
80C61×#388C2211yescharacteristic
81C61×#388C2211yescharacteristic
82C61×#388C2211yescharacteristic
83C61×#388C2211yescharacteristic
84C61×#388C2211yescharacteristic
85C61×#388C2211yescharacteristic
86C61×#388C2211yescharacteristic
87C61×#388C2211yescharacteristic
88C61×#388C2211yescharacteristic
89C61×#388C2211yescharacteristic
90C61×#388C2211yescharacteristic
91C61×#388C2211yescharacteristic
92C61×#388C2211yescharacteristic
93C61×#388C2211yescharacteristic
94C61×#388C2211yescharacteristic
95C61×#388C2211yescharacteristic
96C61×#388C2211yescharacteristic
97C61×#388C2211yescharacteristic
98C61×#388C2211yescharacteristic
99C61×#388C2211yescharacteristic
100C61×#388C2211yescharacteristic
101C61×#388C2211yescharacteristic
102C61×#388C2211yescharacteristic, complemented
103C61×#388C2211yescharacteristic, complemented
104C61×#388C2211yescharacteristic, complemented
105C61×#388C2211yescharacteristic, complemented
106C61×#388C2211yescharacteristic, complemented
107C61×#388C2211yescharacteristic, complemented
108C61×#388C2211yescharacteristic, complemented
109C61×#388C2211yescharacteristic, complemented
110C61×#387C2211yescharacteristic, complemented
111C61×#387C2211yescharacteristic, complemented
112C61×#387C2211yescharacteristic, complemented
113C61×#387C2211yescharacteristic, complemented
114C61×#387C2211yescharacteristic, complemented
115C61×#387C2211yescharacteristic, complemented
116C61×#387C2211yescharacteristic, complemented
117C61×#387C2211yescharacteristic, complemented
118C61×#387C2211yescharacteristic, complemented
119C61×#387C2211yescharacteristic, complemented
120C61×#387C2211yescharacteristic, complemented
121C61×#387C2211yescharacteristic, complemented
122C61×#386C2211yescharacteristic
123C61×#386C2211yescharacteristic
124C61×#386C2211yescharacteristic
125C61×#386C2211yescharacteristic
126C61×#386C2211yescharacteristic
127C61×#386C2211yescharacteristic
128C61×#386C2211yescharacteristic
129C61×#386C2211yescharacteristic
130C61×#386C2211yescharacteristic
131C61×#386C2211yescharacteristic
132C61×#386C2211yescharacteristic
133C61×#386C2211yescharacteristic
134C61×#386C2211yescharacteristic, complemented
135C61×#386C2211yescharacteristic, complemented
136C61×#385C2211yescharacteristic
137C61×#385C2211yescharacteristic
138C61×#385C2211yescharacteristic
139C61×#385C2211yescharacteristic
140C61×#385C2211yescharacteristic
141C61×#385C2211yescharacteristic
142C61×#385C2211yescharacteristic
143C61×#385C2211yescharacteristic
144C61×#385C2211yescharacteristic, complemented
145C61×#385C2211yescharacteristic, complemented
146C61×#385C2211yescharacteristic, complemented
147C61×#385C2211yescharacteristic, complemented
148C61×#384C2211yescharacteristic, complemented
149C61×#383C2211yescharacteristic, complemented
150C61×#381C2211yescharacteristic
151C61×#381C2211yescharacteristic
152C61×#381C2211yescharacteristic, complemented
153C61×#380C2211yescharacteristic
154C61×#380C2211yescharacteristic
155C61×#380C2211yescharacteristic, complemented
156C61×#380C2211yescharacteristic, complemented
157C61×#380C2211yescharacteristic, complemented
158C61×#379C2211yescharacteristic
159C61×#379C2211yescharacteristic
160C4×C4⋊C4×C61C2211yescharacteristic, complemented
161C4×C4⋊C4×C61C2211yescharacteristic, complemented
162C4×C4⋊C4×C61C2211yescharacteristic, complemented
163C4×C4⋊C4×C61C2211yescharacteristic, complemented
164C4×C4⋊C4×C61C2211yescharacteristic, complemented
165C4×C4⋊C4×C61C2211yescharacteristic, complemented
166C4×C4⋊C4×C61C2211yescharacteristic, complemented
167C4×C4⋊C4×C61C2211yescharacteristic, complemented
168C4×C4⋊C4×C61C2211yescharacteristic, complemented
169C4×C22⋊C4×C61C2211yescharacteristic
170C4×C22⋊C4×C61C2211yescharacteristic
171C4×C22⋊C4×C61C2211yescharacteristic
172C4×C22⋊C4×C61C2211yescharacteristic
173C4×C22⋊C4×C61C2211yescharacteristic
174C4×C22⋊C4×C61C2211yescharacteristic
175C4×C22⋊C4×C61C2211yescharacteristic
176C4×C22⋊C4×C61C2211yescharacteristic
177C4×C22⋊C4×C61C2211yescharacteristic
178C4×C22⋊C4×C61C2211yescharacteristic
179C4×C22⋊C4×C61C2211yescharacteristic, complemented
180C4×C22⋊C4×C61C2211yescharacteristic, complemented
181C4×C22⋊C4×C61C2211yescharacteristic, complemented
182C4×C22⋊C4×C61C2211yescharacteristic, complemented
183C4×C22⋊C4×C61C2211yescharacteristic, complemented
184C61×#376C2211yescharacteristic, complemented
185C61×#376C2211yescharacteristic, complemented
186C61×#376C2211yescharacteristic, complemented
187C2×#95×C61C2211yescharacteristic, complemented
188C25×C61C2311yescharacteristic
189C22×Q8×C61C2311yescharacteristic
190C22×D4×C61C2311yescharacteristic
191C22×D4×C61C2311yescharacteristic
192C22×D4×C61C2311yescharacteristic
193C22×D4×C61C2311yescharacteristic
194C22×D4×C61C2311yescharacteristic
195C22×D4×C61C2311yescharacteristic
196C22×D4×C61C2311yescharacteristic
197C23×C4×C61C2311yescharacteristic
198C23×C4×C61C2311yescharacteristic
199C23×C4×C61C2311yescharacteristic
200C23×C4×C61C2311yescharacteristic
201C23×C4×C61C2311yescharacteristic
202C23×C4×C61C2311yescharacteristic
203C23×C4×C61C2311yescharacteristic
204C23×C4×C61C2311yescharacteristic
205C23×C4×C61C2311yescharacteristic
206C23×C4×C61C2311yescharacteristic
207C23×C4×C61C2311yescharacteristic
208C23×C4×C61C2311yescharacteristic
209#126×C61C2×C418yescomplemented
210#126×C61C2×C418yescomplemented
211#124×C61C2×C418yescomplemented
212#124×C61C2×C418yescomplemented
213#123×C61C2×C418yescomplemented
214#123×C61C2×C418yescomplemented
215C22⋊Q8×C61C2×C418yescomplemented
216#121×C61C2×C418yescomplemented
217#121×C61C2×C418yescomplemented
218#121×C61C2×C418yescomplemented
219#120×C61C2×C418yescomplemented
220#120×C61C2×C418yescomplemented
221C4×Q8×C61—42no—
222C4×D4×C61—42no—
223C4×D4×C61—42no—
224C4×D4×C61—42no—
225C4×D4×C61—42no—
226C4×D4×C61—42no—
227C4×D4×C61C2×C418yescomplemented
228C4×D4×C61C2×C418yescomplemented
229#117×C61—42no—
230#117×C61—42no—
231#117×C61—42no—
232C2×C4⋊C4×C61C2311yescharacteristic
233C2×C4⋊C4×C61C2311yescharacteristic
234C2×C4⋊C4×C61C2311yescharacteristic
235C2×C4⋊C4×C61C2311yescharacteristic
236C2×C4⋊C4×C61C2311yescharacteristic
237C2×C4⋊C4×C61C2311yescharacteristic
238C2×C4⋊C4×C61C2311yescharacteristic
239C2×C4⋊C4×C61C2311yescharacteristic
240C2×C4⋊C4×C61C2311yescharacteristic
241C2×C4⋊C4×C61C2311yescharacteristic
242C2×C4⋊C4×C61C2311yescharacteristic
243C2×C4⋊C4×C61C2311yescharacteristic
244C2×C4⋊C4×C61C2311yescharacteristic
245C2×C4⋊C4×C61C2311yescharacteristic
246C2×C4⋊C4×C61C2311yescharacteristic
247C2×C4⋊C4×C61C2311yescharacteristic
248C2×C4⋊C4×C61C2311yescharacteristic
249C2×C4⋊C4×C61C2311yescharacteristic
250C2×C4⋊C4×C61C2311yescharacteristic
251C2×C4⋊C4×C61C2311yescharacteristic
252C2×C4⋊C4×C61C2311yescharacteristic
253C2×C4⋊C4×C61C2311yescharacteristic
254C2×C4⋊C4×C61C2311yescharacteristic
255C2×C4⋊C4×C61C2311yescharacteristic
256C2×C4⋊C4×C61C2311yescharacteristic
257C2×C4⋊C4×C61C2311yescharacteristic
258C2×C22⋊C4×C61—42no—
259C2×C22⋊C4×C61—42no—
260C2×C22⋊C4×C61C2×C418yescomplemented
261C2×C22⋊C4×C61C2311yescharacteristic
262C2×C22⋊C4×C61C2311yescharacteristic
263C2×C22⋊C4×C61C2311yescharacteristic
264C2×C22⋊C4×C61C2311yescharacteristic
265C2×C22⋊C4×C61C2311yescharacteristic
266C2×C22⋊C4×C61C2311yescharacteristic
267C2×C22⋊C4×C61C2311yescharacteristic
268C2×C22⋊C4×C61C2311yescharacteristic
269C2×C22⋊C4×C61C2311yescharacteristic
270C2×C22⋊C4×C61C2311yescharacteristic
271C2×C22⋊C4×C61C2311yescharacteristic
272C2×C22⋊C4×C61C2311yescharacteristic
273C2×C22⋊C4×C61C2311yescharacteristic
274C2×C22⋊C4×C61C2311yescharacteristic
275C2×C22⋊C4×C61C2311yescharacteristic
276C2×C22⋊C4×C61C2311yescharacteristic
277C2×C22⋊C4×C61C2311yescharacteristic
278C2×C22⋊C4×C61C2311yescharacteristic
279C2×C22⋊C4×C61C2311yescharacteristic
280C2×C22⋊C4×C61C2311yescharacteristic
281C2×C22⋊C4×C61C2311yescharacteristic
282C2×C22⋊C4×C61C2311yescharacteristic
283C2×C22⋊C4×C61C2311yescharacteristic
284C2×C22⋊C4×C61C2311yescharacteristic
285C2×C22⋊C4×C61C2311yescharacteristic
286C2×C22⋊C4×C61C2311yescharacteristic
287C2×C22⋊C4×C61C2311yescharacteristic
288C2×C22⋊C4×C61C2311yescharacteristic
289C2×C22⋊C4×C61C2311yescharacteristic
290C2×C22⋊C4×C61C2311yescharacteristic
291C2×C22⋊C4×C61C2311yescharacteristic
292C2×C22⋊C4×C61C2311yescharacteristic
293C2×C22⋊C4×C61C2311yescharacteristic
294C2×C22⋊C4×C61C2311yescharacteristic
295C2×C22⋊C4×C61C2311yescharacteristic
296C2×C22⋊C4×C61C2311yescharacteristic
297C2×C22⋊C4×C61C2311yescharacteristic
298C2×C22⋊C4×C61C2311yescharacteristic
299C2×C22⋊C4×C61C2311yescharacteristic
300C2×C22⋊C4×C61C2311yescharacteristic
301C2×C22⋊C4×C61C2311yescharacteristic
302C2×C22⋊C4×C61C2311yescharacteristic
303C2×C22⋊C4×C61C2311yescharacteristic
304C2×C22⋊C4×C61C2311yescharacteristic
305C2×C22⋊C4×C61C2311yescharacteristic
306C2×C22⋊C4×C61C2311yescharacteristic
307C2×C42×C61—42no—
308C2×C42×C61C2311yescharacteristic
309C2×C42×C61C2311yescharacteristic
310C2×C42×C61C2311yescharacteristic
311C2×C42×C61C2311yescharacteristic
312C2×C42×C61C2311yescharacteristic
313C2×C42×C61C2311yescharacteristic
314C2×C42×C61C2311yescharacteristic
315C2×C42×C61C2311yescharacteristic
316C2×C42×C61C2311yescharacteristic
317C2×C42×C61C2311yescharacteristic
318C2×C42×C61C2311yescharacteristic
319C2×C42×C61C2311yescharacteristic
320C2×C42×C61C2311yescharacteristic
321C2×C42×C61C2311yescharacteristic
322C2×C42×C61C2311yescharacteristic
323C2×C42×C61C2311yescharacteristic
324C2×C42×C61C2311yescharacteristic
325C2×C42×C61C2311yescharacteristic
326C2×C42×C61C2311yescharacteristic
327C2×C42×C61C2311yescharacteristic
328C2×C42×C61C2311yescharacteristic
329C2×C42×C61C2311yescharacteristic
330#95×C61C2311yescharacteristic
331#95×C61C2311yescharacteristic
332#95×C61C2311yescharacteristic
333#95×C61C2311yescharacteristic
334#95×C61C2311yescharacteristic
335#95×C61C2311yescharacteristic
336#95×C61C2311yescharacteristic
337#95×C61C2311yescharacteristic
338#95×C61C2311yescharacteristic
339#95×C61C2311yescharacteristic
340#95×C61C2311yescharacteristic
341#95×C61C2311yescharacteristic
342#95×C61C2311yescharacteristic
343#95×C61C2311yescharacteristic
344#95×C61C2311yescharacteristic
345#95×C61C2311yescharacteristic
346#95×C61C2311yescharacteristic
347#95×C61C2311yescharacteristic
348#95×C61C2311yescharacteristic
349#95×C61C2311yescharacteristic
350#95×C61C2311yescharacteristic
351#95×C61C2311yescharacteristic
352#95×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370C24×C61—41no—
371C24×C61—41no—
372C24×C61—41no—
373C24×C61—41no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61C22×C414yes—
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C24×C61C2411yescharacteristic
380C24×C61C2411yescharacteristic
381C24×C61C2411yescharacteristic
382C2×Q8×C61—41no—
383C2×Q8×C61—41no—
384C2×Q8×C61C22×C414yes—
385C2×D4×C61—41no—
386C2×D4×C61—41no—
387C2×D4×C61—41no—
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61—41no—
391C2×D4×C61—41no—
392C2×D4×C61—41no—
393C2×D4×C61—41no—
394C2×D4×C61—41no—
395C2×D4×C61—41no—
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C2×D4×C61—41no—
399C2×D4×C61C22×C414yes—
400C2×D4×C61C22×C414yes—
401C2×D4×C61C22×C414yes—
402C2×D4×C61C22×C414yes—
403C2×D4×C61C22×C414yes—
404C2×D4×C61C22×C414yes—
405C2×D4×C61C22×C414yes—
406C22×C4×C61—22no—
407C22×C4×C61—22no—
408C22×C4×C61—22no—
409C22×C4×C61—22no—
410C22×C4×C61—22no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61—41no—
414C22×C4×C61—41no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61—41no—
431C22×C4×C61—41no—
432C22×C4×C61—41no—
433C22×C4×C61—41no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61C22×C414yes—
439C22×C4×C61C22×C414yes—
440C22×C4×C61C22×C414yes—
441C22×C4×C61C22×C414yes—
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C4⋊C4×C61—22no—
469C4⋊C4×C61—22no—
470C4⋊C4×C61—22no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C4⋊C4×C61—41no—
474C4⋊C4×C61—41no—
475C4⋊C4×C61—41no—
476C4⋊C4×C61—41no—
477C4⋊C4×C61—41no—
478C4⋊C4×C61—41no—
479C4⋊C4×C61—41no—
480C4⋊C4×C61—41no—
481C4⋊C4×C61—41no—
482C4⋊C4×C61—41no—
483C4⋊C4×C61—41no—
484C4⋊C4×C61—41no—
485C4⋊C4×C61—41no—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C4⋊C4×C61C22×C414yes—
489C4⋊C4×C61C22×C414yes—
490C4⋊C4×C61C22×C414yes—
491C4⋊C4×C61C22×C414yes—
492C4⋊C4×C61C22×C414yes—
493C4⋊C4×C61C22×C414yes—
494C22⋊C4×C61—22no—
495C22⋊C4×C61—22no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61—41no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61—41no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C22⋊C4×C61—41no—
517C22⋊C4×C61—41no—
518C22⋊C4×C61—41no—
519C22⋊C4×C61—41no—
520C22⋊C4×C61—41no—
521C22⋊C4×C61—41no—
522C22⋊C4×C61—41no—
523C22⋊C4×C61—41no—
524C22⋊C4×C61—41no—
525C22⋊C4×C61—41no—
526C22⋊C4×C61C22×C414yes—
527C22⋊C4×C61C22×C414yes—
528C22⋊C4×C61C22×C414yes—
529C22⋊C4×C61C22×C414yes—
530C22⋊C4×C61C22×C414yes—
531C22⋊C4×C61C22×C414yes—
532C22⋊C4×C61C22×C414yes—
533C22⋊C4×C61C22×C414yes—
534C22⋊C4×C61C22×C414yes—
535C22⋊C4×C61C22×C414yes—
536C22⋊C4×C61C22×C414yes—
537C22⋊C4×C61C22×C414yes—
538C22⋊C4×C61C22×C414yes—
539C22⋊C4×C61C22×C414yes—
540C42×C61—22no—
541C42×C61—22no—
542C42×C61—22no—
543C42×C61—22no—
544C42×C61—22no—
545C42×C61—41no—
546C42×C61—41no—
547C42×C61—41no—
548C42×C61—41no—
549C42×C61—41no—
550C42×C61—41no—
551C42×C61—41no—
552C42×C61—41no—
553C42×C61—41no—
554C42×C61—41no—
555C42×C61—41no—
556C42×C61—41no—
557C42×C61—41no—
558C42×C61—41no—
559C42×C61—41no—
560C42×C61C22×C414yes—
561C42×C61C22×C414yes—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—44no—
593C23×C61—44no—
594C23×C61—44no—
595C23×C61—82no—
596C23×C61—82no—
597C23×C61—82no—
598C23×C61—82no—
599C23×C61C23×C412yes—
600C23×C61C23×C412yes—
601C23×C61C23×C412yes—
602C23×C61C23×C412yes—
603C23×C61C23×C412yes—
604C23×C61C2511yescharacteristic
605Q8×C61—44no—
606D4×C61—44no—
607D4×C61—44no—
608D4×C61—44no—
609D4×C61—44no—
610D4×C61—44no—
611D4×C61—44no—
612D4×C61—44no—
613C2×C4×C61—21no—
614C2×C4×C61—21no—
615C2×C4×C61—21no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—44no—
680C2×C4×C61—44no—
681C2×C4×C61—44no—
682C2×C4×C61—44no—
683C2×C4×C61—44no—
684C2×C4×C61—44no—
685C2×C4×C61—82no—
686C2×C4×C61—82no—
687C2×C4×C61—82no—
688C2×C4×C61—82no—
689C2×C4×C61—82no—
690C2×C4×C61—82no—
691C2×C4×C61C23×C412yes—
692C2×C4×C61C23×C412yes—
693C2×C4×C61C23×C412yes—
694C2×C4×C61C23×C412yes—
695C2×C4×C61C23×C412yes—
696C2×C4×C61C23×C412yes—
697C2×C4×C61C23×C412yes—
698C2×C4×C61C23×C412yes—
699C2×C4×C61C23×C412yes—
700C2×C4×C61C23×C412yes—
701C2×C4×C61H(5,𝔽2)12yes—
702C2×C4×C61H(5,𝔽2)12yes—
703#34451C6111yesmaximal, characteristic, direct product factor, Sylow
704C22×C61—22no—
705C22×C61—22no—
706C22×C61—22no—
707C22×C61—22no—
708C22×C61—22no—
709C22×C61—22no—
710C22×C61—22no—
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—22no—
715C22×C61—22no—
716C22×C61—22no—
717C22×C61—22no—
718C22×C61—22no—
719C22×C61—41no—
720C22×C61—41no—
721C22×C61—41no—
722C22×C61—41no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61—41no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—88no—
740C22×C61C24×C411yescharacteristic
741C22×C61C2×H(5,𝔽2)11yescharacteristic
742C22×C61C2×H(5,𝔽2)11yescharacteristic
743C22×C61#58511yescharacteristic
744C22×C61#58511yescharacteristic
745C22×C61#58511yescharacteristic
746C22×C61#58511yescharacteristic
747C4×C61—22no—
748C4×C61—22no—
749C4×C61—22no—
750C4×C61—22no—
751C4×C61—22no—
752C4×C61—22no—
753C4×C61—22no—
754C4×C61—22no—
755C4×C61—22no—
756C4×C61—22no—
757C4×C61—22no—
758C4×C61—22no—
759C4×C61—41no—
760C4×C61—41no—
761C4×C61—41no—
762C4×C61—41no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C2×#538C2×C6111yescharacteristic
774#2383C2×C6111yescharacteristic, complemented
775#2378C2×C6111yescharacteristic, complemented
776#2376C2×C6111yescharacteristic, complemented
777#2375C2×C6111yescharacteristic, complemented
778#2373C2×C6111yescharacteristic, complemented
779#2373C2×C6111yescharacteristic, complemented
780#2373C2×C6111yescharacteristic, complemented
781#2372C2×C6111yescharacteristic, complemented
782#2367C2×C6111yescharacteristic, complemented
783#2362C2×C6111yescharacteristic, complemented
784#2359C2×C6111yescharacteristic, complemented
785#2358C2×C6111yescharacteristic, complemented
786#2354C2×C6111yescharacteristic, complemented
787#2353C2×C6111yescharacteristic, complemented
788#2342C2×C6111yescharacteristic, complemented
789#2342C2×C6111yescharacteristic, complemented
790#2337C2×C6111yescharacteristic, complemented
791#2335C2×C6111yescharacteristic, complemented
792#2333C2×C6111yescharacteristic, complemented
793#2333C2×C6111yescharacteristic, complemented
794#2326C2×C6111yescharacteristic, complemented
795#2325C2×C6111yescharacteristic, complemented
796#2324C2×C6111yescharacteristic, complemented
797#2324C2×C6111yescharacteristic, complemented
798#2321C2×C6111yescharacteristic, complemented
799#2321C2×C6111yescharacteristic, complemented
800#2319C2×C6111yescharacteristic, complemented
801C4×#123C2×C6111yescharacteristic, complemented
802C4×#121C2×C6111yescharacteristic, complemented
803#2290C2×C6111yescharacteristic, complemented
804C2×C61—42no—
805C2×C61—42no—
806C2×C61—42no—
807C2×C61—42no—
808C2×C61—42no—
809C2×C61#342811yescharacteristic
810C2×C61C4×H(5,𝔽2)11yescharacteristic
811C2×C61C4×H(5,𝔽2)11yescharacteristic
812C2×C61#353311yescharacteristic
813C2×C61#354211yescharacteristic
814C2×C61#355111yescharacteristic
815C2×C61#356811yescharacteristic
816#538C4×C61116yescomplemented
817C2×#126C22×C6111yescharacteristic
818C2×#126C22×C6111yescharacteristic
819C2×#124C22×C6111yescharacteristic
820C2×#124C22×C6111yescharacteristic
821C2×#123C22×C6111yescharacteristic
822C2×#123C22×C6111yescharacteristic
823C2×C22⋊Q8C22×C6111yescharacteristic
824C2×#121C22×C6111yescharacteristic
825C2×#121C22×C6111yescharacteristic
826C2×#121C22×C6111yescharacteristic
827C2×#120C22×C6111yescharacteristic
828C2×#120C22×C6111yescharacteristic
829C2×C4×Q8C22×C6111yescharacteristic, complemented
830C2×C4×D4C22×C6111yescharacteristic
831C2×C4×D4C22×C6111yescharacteristic
832C2×C4×D4C22×C6111yescharacteristic
833C2×C4×D4C22×C6111yescharacteristic
834C2×C4×D4C22×C6111yescharacteristic
835C2×C4×D4C22×C6111yescharacteristic
836C2×C4×D4C22×C6111yescharacteristic, complemented
837C2×#117C22×C6111yescharacteristic
838C2×#117C22×C6111yescharacteristic
839C2×#117C22×C6111yescharacteristic, complemented
840C22×C22⋊C4C22×C6111yescharacteristic
841C22×C22⋊C4C22×C6111yescharacteristic
842C22×C22⋊C4C22×C6111yescharacteristic
843C22×C42C22×C6111yescharacteristic, complemented
844#391C22×C6111yescharacteristic, complemented
845#391C22×C6111yescharacteristic, complemented
846#391C22×C6111yescharacteristic, complemented
847#390C22×C6111yescharacteristic
848#390C22×C6111yescharacteristic
849#390C22×C6111yescharacteristic
850#390C22×C6111yescharacteristic
851#390C22×C6111yescharacteristic
852#390C22×C6111yescharacteristic
853#390C22×C6111yescharacteristic
854#390C22×C6111yescharacteristic
855#390C22×C6111yescharacteristic, complemented
856#389C22×C6111yescharacteristic, complemented
857#389C22×C6111yescharacteristic, complemented
858#389C22×C6111yescharacteristic, complemented
859#389C22×C6111yescharacteristic, complemented
860#389C22×C6111yescharacteristic, complemented
861#389C22×C6111yescharacteristic, complemented
862#388C22×C6111yescharacteristic
863#388C22×C6111yescharacteristic
864#388C22×C6111yescharacteristic
865#388C22×C6111yescharacteristic
866#388C22×C6111yescharacteristic
867#388C22×C6111yescharacteristic
868#388C22×C6111yescharacteristic
869#388C22×C6111yescharacteristic
870#388C22×C6111yescharacteristic
871#388C22×C6111yescharacteristic
872#388C22×C6111yescharacteristic
873#388C22×C6111yescharacteristic
874#388C22×C6111yescharacteristic
875#388C22×C6111yescharacteristic
876#388C22×C6111yescharacteristic
877#388C22×C6111yescharacteristic
878#388C22×C6111yescharacteristic
879#388C22×C6111yescharacteristic
880#388C22×C6111yescharacteristic
881#388C22×C6111yescharacteristic
882#388C22×C6111yescharacteristic
883#388C22×C6111yescharacteristic
884#388C22×C6111yescharacteristic
885#388C22×C6111yescharacteristic
886#388C22×C6111yescharacteristic, complemented
887#388C22×C6111yescharacteristic, complemented
888#388C22×C6111yescharacteristic, complemented
889#388C22×C6111yescharacteristic, complemented
890#388C22×C6111yescharacteristic, complemented
891#388C22×C6111yescharacteristic, complemented
892#388C22×C6111yescharacteristic, complemented
893#388C22×C6111yescharacteristic, complemented
894#387C22×C6111yescharacteristic, complemented
895#387C22×C6111yescharacteristic, complemented
896#387C22×C6111yescharacteristic, complemented
897#387C22×C6111yescharacteristic, complemented
898#387C22×C6111yescharacteristic, complemented
899#387C22×C6111yescharacteristic, complemented
900#387C22×C6111yescharacteristic, complemented
901#387C22×C6111yescharacteristic, complemented
902#387C22×C6111yescharacteristic, complemented
903#387C22×C6111yescharacteristic, complemented
904#387C22×C6111yescharacteristic, complemented
905#387C22×C6111yescharacteristic, complemented
906#386C22×C6111yescharacteristic
907#386C22×C6111yescharacteristic
908#386C22×C6111yescharacteristic
909#386C22×C6111yescharacteristic
910#386C22×C6111yescharacteristic
911#386C22×C6111yescharacteristic
912#386C22×C6111yescharacteristic
913#386C22×C6111yescharacteristic
914#386C22×C6111yescharacteristic
915#386C22×C6111yescharacteristic
916#386C22×C6111yescharacteristic
917#386C22×C6111yescharacteristic
918#386C22×C6111yescharacteristic, complemented
919#386C22×C6111yescharacteristic, complemented
920#385C22×C6111yescharacteristic
921#385C22×C6111yescharacteristic
922#385C22×C6111yescharacteristic
923#385C22×C6111yescharacteristic
924#385C22×C6111yescharacteristic
925#385C22×C6111yescharacteristic
926#385C22×C6111yescharacteristic
927#385C22×C6111yescharacteristic
928#385C22×C6111yescharacteristic, complemented
929#385C22×C6111yescharacteristic, complemented
930#385C22×C6111yescharacteristic, complemented
931#385C22×C6111yescharacteristic, complemented
932#384C22×C6111yescharacteristic, complemented
933#383C22×C6111yescharacteristic, complemented
934#381C22×C6111yescharacteristic
935#381C22×C6111yescharacteristic
936#381C22×C6111yescharacteristic, complemented
937#380C22×C6111yescharacteristic
938#380C22×C6111yescharacteristic
939#380C22×C6111yescharacteristic, complemented
940#380C22×C6111yescharacteristic, complemented
941#380C22×C6111yescharacteristic, complemented
942#379C22×C6111yescharacteristic
943#379C22×C6111yescharacteristic
944C4×C4⋊C4C22×C6111yescharacteristic, complemented
945C4×C4⋊C4C22×C6111yescharacteristic, complemented
946C4×C4⋊C4C22×C6111yescharacteristic, complemented
947C4×C4⋊C4C22×C6111yescharacteristic, complemented
948C4×C4⋊C4C22×C6111yescharacteristic, complemented
949C4×C4⋊C4C22×C6111yescharacteristic, complemented
950C4×C4⋊C4C22×C6111yescharacteristic, complemented
951C4×C4⋊C4C22×C6111yescharacteristic, complemented
952C4×C4⋊C4C22×C6111yescharacteristic, complemented
953C4×C22⋊C4C22×C6111yescharacteristic
954C4×C22⋊C4C22×C6111yescharacteristic
955C4×C22⋊C4C22×C6111yescharacteristic
956C4×C22⋊C4C22×C6111yescharacteristic
957C4×C22⋊C4C22×C6111yescharacteristic
958C4×C22⋊C4C22×C6111yescharacteristic
959C4×C22⋊C4C22×C6111yescharacteristic
960C4×C22⋊C4C22×C6111yescharacteristic
961C4×C22⋊C4C22×C6111yescharacteristic
962C4×C22⋊C4C22×C6111yescharacteristic
963C4×C22⋊C4C22×C6111yescharacteristic, complemented
964C4×C22⋊C4C22×C6111yescharacteristic, complemented
965C4×C22⋊C4C22×C6111yescharacteristic, complemented
966C4×C22⋊C4C22×C6111yescharacteristic, complemented
967C4×C22⋊C4C22×C6111yescharacteristic, complemented
968#376C22×C6111yescharacteristic, complemented
969#376C22×C6111yescharacteristic, complemented
970#376C22×C6111yescharacteristic, complemented
971C2×#95C22×C6111yescharacteristic, complemented
972C61#3445111yescharacteristic, direct product factor, Sylow
973C25C23×C6111yescharacteristic
974C22×Q8C23×C6111yescharacteristic
975C22×D4C23×C6111yescharacteristic
976C22×D4C23×C6111yescharacteristic
977C22×D4C23×C6111yescharacteristic
978C22×D4C23×C6111yescharacteristic
979C22×D4C23×C6111yescharacteristic
980C22×D4C23×C6111yescharacteristic
981C22×D4C23×C6111yescharacteristic
982C23×C4C23×C6111yescharacteristic
983C23×C4C23×C6111yescharacteristic
984C23×C4C23×C6111yescharacteristic
985C23×C4C23×C6111yescharacteristic
986C23×C4C23×C6111yescharacteristic
987C23×C4C23×C6111yescharacteristic
988C23×C4C23×C6111yescharacteristic
989C23×C4C23×C6111yescharacteristic
990C23×C4C23×C6111yescharacteristic
991C23×C4C23×C6111yescharacteristic
992C23×C4C23×C6111yescharacteristic
993C23×C4C23×C6111yescharacteristic
994#126C2×C4×C6118yescomplemented
995#126C2×C4×C6118yescomplemented
996#124C2×C4×C6118yescomplemented
997#124C2×C4×C6118yescomplemented
998#123C2×C4×C6118yescomplemented
999#123C2×C4×C6118yescomplemented
1000C22⋊Q8C2×C4×C6118yescomplemented
1001#121C2×C4×C6118yescomplemented
1002#121C2×C4×C6118yescomplemented
1003#121C2×C4×C6118yescomplemented
1004#120C2×C4×C6118yescomplemented
1005#120C2×C4×C6118yescomplemented
1006C4×Q8—42no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4C2×C4×C6118yescomplemented
1013C4×D4C2×C4×C6118yescomplemented
1014#117—42no—
1015#117—42no—
1016#117—42no—
1017C2×C4⋊C4C23×C6111yescharacteristic
1018C2×C4⋊C4C23×C6111yescharacteristic
1019C2×C4⋊C4C23×C6111yescharacteristic
1020C2×C4⋊C4C23×C6111yescharacteristic
1021C2×C4⋊C4C23×C6111yescharacteristic
1022C2×C4⋊C4C23×C6111yescharacteristic
1023C2×C4⋊C4C23×C6111yescharacteristic
1024C2×C4⋊C4C23×C6111yescharacteristic
1025C2×C4⋊C4C23×C6111yescharacteristic
1026C2×C4⋊C4C23×C6111yescharacteristic
1027C2×C4⋊C4C23×C6111yescharacteristic
1028C2×C4⋊C4C23×C6111yescharacteristic
1029C2×C4⋊C4C23×C6111yescharacteristic
1030C2×C4⋊C4C23×C6111yescharacteristic
1031C2×C4⋊C4C23×C6111yescharacteristic
1032C2×C4⋊C4C23×C6111yescharacteristic
1033C2×C4⋊C4C23×C6111yescharacteristic
1034C2×C4⋊C4C23×C6111yescharacteristic
1035C2×C4⋊C4C23×C6111yescharacteristic
1036C2×C4⋊C4C23×C6111yescharacteristic
1037C2×C4⋊C4C23×C6111yescharacteristic
1038C2×C4⋊C4C23×C6111yescharacteristic
1039C2×C4⋊C4C23×C6111yescharacteristic
1040C2×C4⋊C4C23×C6111yescharacteristic
1041C2×C4⋊C4C23×C6111yescharacteristic
1042C2×C4⋊C4C23×C6111yescharacteristic
1043C2×C22⋊C4—42no—
1044C2×C22⋊C4—42no—
1045C2×C22⋊C4C2×C4×C6118yescomplemented
1046C2×C22⋊C4C23×C6111yescharacteristic
1047C2×C22⋊C4C23×C6111yescharacteristic
1048C2×C22⋊C4C23×C6111yescharacteristic
1049C2×C22⋊C4C23×C6111yescharacteristic
1050C2×C22⋊C4C23×C6111yescharacteristic
1051C2×C22⋊C4C23×C6111yescharacteristic
1052C2×C22⋊C4C23×C6111yescharacteristic
1053C2×C22⋊C4C23×C6111yescharacteristic
1054C2×C22⋊C4C23×C6111yescharacteristic
1055C2×C22⋊C4C23×C6111yescharacteristic
1056C2×C22⋊C4C23×C6111yescharacteristic
1057C2×C22⋊C4C23×C6111yescharacteristic
1058C2×C22⋊C4C23×C6111yescharacteristic
1059C2×C22⋊C4C23×C6111yescharacteristic
1060C2×C22⋊C4C23×C6111yescharacteristic
1061C2×C22⋊C4C23×C6111yescharacteristic
1062C2×C22⋊C4C23×C6111yescharacteristic
1063C2×C22⋊C4C23×C6111yescharacteristic
1064C2×C22⋊C4C23×C6111yescharacteristic
1065C2×C22⋊C4C23×C6111yescharacteristic
1066C2×C22⋊C4C23×C6111yescharacteristic
1067C2×C22⋊C4C23×C6111yescharacteristic
1068C2×C22⋊C4C23×C6111yescharacteristic
1069C2×C22⋊C4C23×C6111yescharacteristic
1070C2×C22⋊C4C23×C6111yescharacteristic
1071C2×C22⋊C4C23×C6111yescharacteristic
1072C2×C22⋊C4C23×C6111yescharacteristic
1073C2×C22⋊C4C23×C6111yescharacteristic
1074C2×C22⋊C4C23×C6111yescharacteristic
1075C2×C22⋊C4C23×C6111yescharacteristic
1076C2×C22⋊C4C23×C6111yescharacteristic
1077C2×C22⋊C4C23×C6111yescharacteristic
1078C2×C22⋊C4C23×C6111yescharacteristic
1079C2×C22⋊C4C23×C6111yescharacteristic
1080C2×C22⋊C4C23×C6111yescharacteristic
1081C2×C22⋊C4C23×C6111yescharacteristic
1082C2×C22⋊C4C23×C6111yescharacteristic
1083C2×C22⋊C4C23×C6111yescharacteristic
1084C2×C22⋊C4C23×C6111yescharacteristic
1085C2×C22⋊C4C23×C6111yescharacteristic
1086C2×C22⋊C4C23×C6111yescharacteristic
1087C2×C22⋊C4C23×C6111yescharacteristic
1088C2×C22⋊C4C23×C6111yescharacteristic
1089C2×C22⋊C4C23×C6111yescharacteristic
1090C2×C22⋊C4C23×C6111yescharacteristic
1091C2×C22⋊C4C23×C6111yescharacteristic
1092C2×C42—42no—
1093C2×C42C23×C6111yescharacteristic
1094C2×C42C23×C6111yescharacteristic
1095C2×C42C23×C6111yescharacteristic
1096C2×C42C23×C6111yescharacteristic
1097C2×C42C23×C6111yescharacteristic
1098C2×C42C23×C6111yescharacteristic
1099C2×C42C23×C6111yescharacteristic
1100C2×C42C23×C6111yescharacteristic
1101C2×C42C23×C6111yescharacteristic
1102C2×C42C23×C6111yescharacteristic
1103C2×C42C23×C6111yescharacteristic
1104C2×C42C23×C6111yescharacteristic
1105C2×C42C23×C6111yescharacteristic
1106C2×C42C23×C6111yescharacteristic
1107C2×C42C23×C6111yescharacteristic
1108C2×C42C23×C6111yescharacteristic
1109C2×C42C23×C6111yescharacteristic
1110C2×C42C23×C6111yescharacteristic
1111C2×C42C23×C6111yescharacteristic
1112C2×C42C23×C6111yescharacteristic
1113C2×C42C23×C6111yescharacteristic
1114C2×C42C23×C6111yescharacteristic
1115#95C23×C6111yescharacteristic
1116#95C23×C6111yescharacteristic
1117#95C23×C6111yescharacteristic
1118#95C23×C6111yescharacteristic
1119#95C23×C6111yescharacteristic
1120#95C23×C6111yescharacteristic
1121#95C23×C6111yescharacteristic
1122#95C23×C6111yescharacteristic
1123#95C23×C6111yescharacteristic
1124#95C23×C6111yescharacteristic
1125#95C23×C6111yescharacteristic
1126#95C23×C6111yescharacteristic
1127#95C23×C6111yescharacteristic
1128#95C23×C6111yescharacteristic
1129#95C23×C6111yescharacteristic
1130#95C23×C6111yescharacteristic
1131#95C23×C6111yescharacteristic
1132#95C23×C6111yescharacteristic
1133#95C23×C6111yescharacteristic
1134#95C23×C6111yescharacteristic
1135#95C23×C6111yescharacteristic
1136#95C23×C6111yescharacteristic
1137#95C23×C6111yescharacteristic
1138#95C23×C6111yescharacteristic
1139#95C23×C6111yescharacteristic
1140#95C23×C6111yescharacteristic
1141#95C23×C6111yescharacteristic
1142#95C23×C6111yescharacteristic
1143#95C23×C6111yescharacteristic
1144#95C23×C6111yescharacteristic
1145#95C23×C6111yescharacteristic
1146#95C23×C6111yescharacteristic
1147#95C23×C6111yescharacteristic
1148#95C23×C6111yescharacteristic
1149#95C23×C6111yescharacteristic
1150#95C23×C6111yescharacteristic
1151#95C23×C6111yescharacteristic
1152#95C23×C6111yescharacteristic
1153#95C23×C6111yescharacteristic
1154#95C23×C6111yescharacteristic
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24C22×C4×C6114yes—
1162C24C24×C6111yescharacteristic
1163C24C24×C6111yescharacteristic
1164C24C24×C6111yescharacteristic
1165C24C24×C6111yescharacteristic
1166C24C24×C6111yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C22×C4×C6114yes—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4C22×C4×C6114yes—
1185C2×D4C22×C4×C6114yes—
1186C2×D4C22×C4×C6114yes—
1187C2×D4C22×C4×C6114yes—
1188C2×D4C22×C4×C6114yes—
1189C2×D4C22×C4×C6114yes—
1190C2×D4C22×C4×C6114yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4C22×C4×C6114yes—
1224C22×C4C22×C4×C6114yes—
1225C22×C4C22×C4×C6114yes—
1226C22×C4C22×C4×C6114yes—
1227C22×C4C24×C6111yescharacteristic
1228C22×C4C24×C6111yescharacteristic
1229C22×C4C24×C6111yescharacteristic
1230C22×C4C24×C6111yescharacteristic
1231C22×C4C24×C6111yescharacteristic
1232C22×C4C24×C6111yescharacteristic
1233C22×C4C24×C6111yescharacteristic
1234C22×C4C24×C6111yescharacteristic
1235C22×C4C24×C6111yescharacteristic
1236C22×C4C24×C6111yescharacteristic
1237C22×C4C24×C6111yescharacteristic
1238C22×C4C24×C6111yescharacteristic
1239C22×C4C24×C6111yescharacteristic
1240C22×C4C24×C6111yescharacteristic
1241C22×C4C24×C6111yescharacteristic
1242C22×C4C24×C6111yescharacteristic
1243C22×C4C24×C6111yescharacteristic
1244C22×C4C24×C6111yescharacteristic
1245C22×C4C24×C6111yescharacteristic
1246C22×C4C24×C6111yescharacteristic
1247C22×C4C24×C6111yescharacteristic
1248C22×C4C24×C6111yescharacteristic
1249C22×C4C24×C6111yescharacteristic
1250C22×C4C24×C6111yescharacteristic
1251C22×C4C24×C6111yescharacteristic
1252C22×C4C24×C6111yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4C22×C4×C6114yes—
1274C4⋊C4C22×C4×C6114yes—
1275C4⋊C4C22×C4×C6114yes—
1276C4⋊C4C22×C4×C6114yes—
1277C4⋊C4C22×C4×C6114yes—
1278C4⋊C4C22×C4×C6114yes—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4C22×C4×C6114yes—
1312C22⋊C4C22×C4×C6114yes—
1313C22⋊C4C22×C4×C6114yes—
1314C22⋊C4C22×C4×C6114yes—
1315C22⋊C4C22×C4×C6114yes—
1316C22⋊C4C22×C4×C6114yes—
1317C22⋊C4C22×C4×C6114yes—
1318C22⋊C4C22×C4×C6114yes—
1319C22⋊C4C22×C4×C6114yes—
1320C22⋊C4C22×C4×C6114yes—
1321C22⋊C4C22×C4×C6114yes—
1322C22⋊C4C22×C4×C6114yes—
1323C22⋊C4C22×C4×C6114yes—
1324C22⋊C4C22×C4×C6114yes—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42C22×C4×C6114yes—
1346C42C22×C4×C6114yes—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23C23×C4×C6112yes—
1385C23C23×C4×C6112yes—
1386C23C23×C4×C6112yes—
1387C23C23×C4×C6112yes—
1388C23C23×C4×C6112yes—
1389C23C25×C6111yescharacteristic
1390Q8—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4C23×C4×C6112yes—
1477C2×C4C23×C4×C6112yes—
1478C2×C4C23×C4×C6112yes—
1479C2×C4C23×C4×C6112yes—
1480C2×C4C23×C4×C6112yes—
1481C2×C4C23×C4×C6112yes—
1482C2×C4C23×C4×C6112yes—
1483C2×C4C23×C4×C6112yes—
1484C2×C4C23×C4×C6112yes—
1485C2×C4C23×C4×C6112yes—
1486C2×C4H(5,𝔽2)×C6112yes—
1487C2×C4H(5,𝔽2)×C6112yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—88no—
1524C22C24×C4×C6111yescharacteristic
1525C22C2×H(5,𝔽2)×C6111yescharacteristic
1526C22C2×H(5,𝔽2)×C6111yescharacteristic
1527C22C61×#58511yescharacteristic
1528C22C61×#58511yescharacteristic
1529C22C61×#58511yescharacteristic
1530C22C61×#58511yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—42no—
1561C2—42no—
1562C2C61×#342811yescharacteristic
1563C2C4×H(5,𝔽2)×C6111yescharacteristic
1564C2C4×H(5,𝔽2)×C6111yescharacteristic
1565C2C61×#353311yescharacteristic
1566C2C61×#354211yescharacteristic
1567C2C61×#355111yescharacteristic
1568C2C61×#356811yescharacteristic
subgroupG/H
center, socleC23×C61C25
commutatorC22C24×C4×C61
Frattini, cosocleC23C25×C61
prime radicalC2×C61×#538C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C61 ◁ G

Complements

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

NH ≅ G/Ntype
2. C61×#2383C2semidirect
3. C61×#2378C2semidirect
4. C61×#2376C2semidirect
5. C61×#2375C2semidirect
6. C61×#2373C2semidirect
7. C61×#2373C2semidirect
8. C61×#2373C2semidirect
9. C61×#2372C2semidirect
10. C61×#2367C2semidirect
11. C61×#2362C2semidirect
12. C61×#2359C2semidirect
13. C61×#2358C2semidirect
14. C61×#2354C2semidirect
15. C61×#2353C2semidirect
16. C61×#2342C2semidirect
17. C61×#2342C2semidirect
18. C61×#2337C2semidirect
19. C61×#2335C2semidirect
20. C61×#2333C2semidirect
21. C61×#2333C2semidirect
22. C61×#2326C2semidirect
23. C61×#2325C2semidirect
24. C61×#2324C2semidirect
25. C61×#2324C2semidirect
26. C61×#2321C2semidirect
27. C61×#2321C2semidirect
28. C61×#2319C2semidirect
29. C4×#123×C61C2semidirect
30. C4×#121×C61C2semidirect
31. C61×#2290C2semidirect
32. C61×#538C4semidirect
45. C2×C4×Q8×C61C22semidirect
52. C2×C4×D4×C61C22semidirect
55. C2×#117×C61C22semidirect
59. C22×C42×C61C22semidirect
60. C61×#391C22semidirect
61. C61×#391C22semidirect
62. C61×#391C22semidirect
71. C61×#390C22semidirect
72. C61×#389C22semidirect
73. C61×#389C22semidirect
74. C61×#389C22semidirect
75. C61×#389C22semidirect
76. C61×#389C22semidirect
77. C61×#389C22semidirect
102. C61×#388C22semidirect
103. C61×#388C22semidirect
104. C61×#388C22semidirect
105. C61×#388C22semidirect
106. C61×#388C22semidirect
107. C61×#388C22semidirect
108. C61×#388C22semidirect
109. C61×#388C22semidirect
110. C61×#387C22semidirect
111. C61×#387C22semidirect
112. C61×#387C22semidirect
113. C61×#387C22semidirect
114. C61×#387C22semidirect
115. C61×#387C22semidirect
116. C61×#387C22semidirect
117. C61×#387C22semidirect
118. C61×#387C22semidirect
119. C61×#387C22semidirect
120. C61×#387C22semidirect
121. C61×#387C22semidirect
134. C61×#386C22semidirect
135. C61×#386C22semidirect
144. C61×#385C22semidirect
145. C61×#385C22semidirect
146. C61×#385C22semidirect
147. C61×#385C22semidirect
148. C61×#384C22semidirect
149. C61×#383C22semidirect
152. C61×#381C22semidirect
155. C61×#380C22semidirect
156. C61×#380C22semidirect
157. C61×#380C22semidirect
160. C4×C4⋊C4×C61C22semidirect
161. C4×C4⋊C4×C61C22semidirect
162. C4×C4⋊C4×C61C22semidirect
163. C4×C4⋊C4×C61C22semidirect
164. C4×C4⋊C4×C61C22semidirect
165. C4×C4⋊C4×C61C22semidirect
166. C4×C4⋊C4×C61C22semidirect
167. C4×C4⋊C4×C61C22semidirect
168. C4×C4⋊C4×C61C22semidirect
179. C4×C22⋊C4×C61C22semidirect
180. C4×C22⋊C4×C61C22semidirect
181. C4×C22⋊C4×C61C22semidirect
182. C4×C22⋊C4×C61C22semidirect
183. C4×C22⋊C4×C61C22semidirect
184. C61×#376C22semidirect
185. C61×#376C22semidirect
186. C61×#376C22semidirect
187. C2×#95×C61C22semidirect
209. #126×C61C2×C4semidirect
210. #126×C61C2×C4semidirect
211. #124×C61C2×C4semidirect
212. #124×C61C2×C4semidirect
213. #123×C61C2×C4semidirect
214. #123×C61C2×C4semidirect
215. C22⋊Q8×C61C2×C4semidirect
216. #121×C61C2×C4semidirect
217. #121×C61C2×C4semidirect
218. #121×C61C2×C4semidirect
219. #120×C61C2×C4semidirect
220. #120×C61C2×C4semidirect
227. C4×D4×C61C2×C4semidirect
228. C4×D4×C61C2×C4semidirect
260. C2×C22⋊C4×C61C2×C4semidirect
703. #34451C61direct (N × H)
774. #2383C2×C61semidirect
775. #2378C2×C61semidirect
776. #2376C2×C61semidirect
777. #2375C2×C61semidirect
778. #2373C2×C61semidirect
779. #2373C2×C61semidirect
780. #2373C2×C61semidirect
781. #2372C2×C61semidirect
782. #2367C2×C61semidirect
783. #2362C2×C61semidirect
784. #2359C2×C61semidirect
785. #2358C2×C61semidirect
786. #2354C2×C61semidirect
787. #2353C2×C61semidirect
788. #2342C2×C61semidirect
789. #2342C2×C61semidirect
790. #2337C2×C61semidirect
791. #2335C2×C61semidirect
792. #2333C2×C61semidirect
793. #2333C2×C61semidirect
794. #2326C2×C61semidirect
795. #2325C2×C61semidirect
796. #2324C2×C61semidirect
797. #2324C2×C61semidirect
798. #2321C2×C61semidirect
799. #2321C2×C61semidirect
800. #2319C2×C61semidirect
801. C4×#123C2×C61semidirect
802. C4×#121C2×C61semidirect
803. #2290C2×C61semidirect
816. #538C4×C61semidirect
829. C2×C4×Q8C22×C61semidirect
836. C2×C4×D4C22×C61semidirect
839. C2×#117C22×C61semidirect
843. C22×C42C22×C61semidirect
844. #391C22×C61semidirect
845. #391C22×C61semidirect
846. #391C22×C61semidirect
855. #390C22×C61semidirect
856. #389C22×C61semidirect
857. #389C22×C61semidirect
858. #389C22×C61semidirect
859. #389C22×C61semidirect
860. #389C22×C61semidirect
861. #389C22×C61semidirect
886. #388C22×C61semidirect
887. #388C22×C61semidirect
888. #388C22×C61semidirect
889. #388C22×C61semidirect
890. #388C22×C61semidirect
891. #388C22×C61semidirect
892. #388C22×C61semidirect
893. #388C22×C61semidirect
894. #387C22×C61semidirect
895. #387C22×C61semidirect
896. #387C22×C61semidirect
897. #387C22×C61semidirect
898. #387C22×C61semidirect
899. #387C22×C61semidirect
900. #387C22×C61semidirect
901. #387C22×C61semidirect
902. #387C22×C61semidirect
903. #387C22×C61semidirect
904. #387C22×C61semidirect
905. #387C22×C61semidirect
918. #386C22×C61semidirect
919. #386C22×C61semidirect
928. #385C22×C61semidirect
929. #385C22×C61semidirect
930. #385C22×C61semidirect
931. #385C22×C61semidirect
932. #384C22×C61semidirect
933. #383C22×C61semidirect
936. #381C22×C61semidirect
939. #380C22×C61semidirect
940. #380C22×C61semidirect
941. #380C22×C61semidirect
944. C4×C4⋊C4C22×C61semidirect
945. C4×C4⋊C4C22×C61semidirect
946. C4×C4⋊C4C22×C61semidirect
947. C4×C4⋊C4C22×C61semidirect
948. C4×C4⋊C4C22×C61semidirect
949. C4×C4⋊C4C22×C61semidirect
950. C4×C4⋊C4C22×C61semidirect
951. C4×C4⋊C4C22×C61semidirect
952. C4×C4⋊C4C22×C61semidirect
963. C4×C22⋊C4C22×C61semidirect
964. C4×C22⋊C4C22×C61semidirect
965. C4×C22⋊C4C22×C61semidirect
966. C4×C22⋊C4C22×C61semidirect
967. C4×C22⋊C4C22×C61semidirect
968. #376C22×C61semidirect
969. #376C22×C61semidirect
970. #376C22×C61semidirect
971. C2×#95C22×C61semidirect
972. C61#34451direct (N × H)
994. #126C2×C4×C61semidirect
995. #126C2×C4×C61semidirect
996. #124C2×C4×C61semidirect
997. #124C2×C4×C61semidirect
998. #123C2×C4×C61semidirect
999. #123C2×C4×C61semidirect
1000. C22⋊Q8C2×C4×C61semidirect
1001. #121C2×C4×C61semidirect
1002. #121C2×C4×C61semidirect
1003. #121C2×C4×C61semidirect
1004. #120C2×C4×C61semidirect
1005. #120C2×C4×C61semidirect
1012. C4×D4C2×C4×C61semidirect
1013. C4×D4C2×C4×C61semidirect
1045. C2×C22⋊C4C2×C4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#5382
C61×#23832
C61×#23782
C61×#23762
C61×#23752
C61×#23732
C61×#23722
C61×#23672
C61×#23622
C61×#23592
C61×#23582
C61×#23542
C61×#23532
C61×#23422
C61×#23372
C61×#23352
C61×#23332
C61×#23262
C61×#23252
C61×#23242
C61×#23212
C61×#23192
C4×#123×C612
C4×#121×C612
C61×#22902
#3445161