Finite Group Databasebeta

← C61×#34998 #29538431

Subgroups — C61×#34998 #29538431

Order 15616.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#2854C211yesmaximal, characteristic, complemented
2C61×#2853C211yesmaximal, characteristic, complemented
3C61×#2852C211yesmaximal, characteristic, complemented
4C61×#2850C211yesmaximal, characteristic, complemented
5C61×#2653C211yesmaximal, characteristic, complemented
6C61×#2649C211yesmaximal, characteristic, complemented
7C61×#2648C211yesmaximal, characteristic, complemented
8C61×#2648C211yesmaximal, characteristic, complemented
9C61×#2518C211yesmaximal, characteristic, complemented
10C61×#2518C211yesmaximal, characteristic, complemented
11C61×#2510C211yesmaximal, characteristic, complemented
12C61×#2510C211yesmaximal, characteristic, complemented
13C61×#2505C211yesmaximal, characteristic, complemented
14C61×#2488C211yesmaximal, characteristic, complemented
15C61×#2480C211yesmaximal, characteristic, complemented
16C61×#2472C211yesmaximal, characteristic, complemented
17C61×#2467C211yesmaximal, characteristic, complemented
18C61×#2459C211yesmaximal, characteristic, complemented
19C61×#2444C211yesmaximal, characteristic, complemented
20C61×#2437C211yesmaximal, characteristic, complemented
21C61×#2425C211yesmaximal, characteristic, complemented
22C61×#2412C211yesmaximal, characteristic, complemented
23C61×#2410C211yesmaximal, characteristic
24C61×#2405C211yesmaximal, characteristic, complemented
25C61×#2329C211yesmaximal, characteristic, complemented
26C61×#2321C211yesmaximal, characteristic, complemented
27C61×#2318C211yesmaximal, characteristic, complemented
28C61×#2312C211yesmaximal, characteristic, complemented
29C4×#120×C61C211yesmaximal, characteristic, complemented
30C2×C61×#386C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C61C211yesmaximal, characteristic, complemented
32C23×D4×C61C2211yescharacteristic
33C24×C4×C61C2211yescharacteristic
34C2×#126×C61C2211yescharacteristic, complemented
35C2×#124×C61C2211yescharacteristic, complemented
36C2×#123×C61C2211yescharacteristic
37C2×#123×C61C2211yescharacteristic
38C2×#123×C61C2211yescharacteristic, complemented
39C2×C22⋊Q8×C61C2211yescharacteristic
40C2×C22⋊Q8×C61C2211yescharacteristic, complemented
41C2×#121×C61C2211yescharacteristic
42C2×#121×C61C2211yescharacteristic
43C2×#120×C61C2211yescharacteristic
44C2×#120×C61C2211yescharacteristic
45C2×C4×D4×C61C2211yescharacteristic
46C2×C4×D4×C61C2211yescharacteristic, complemented
47C2×C4×D4×C61C2211yescharacteristic, complemented
48C22×C22⋊C4×C61C2211yescharacteristic
49C22×C22⋊C4×C61C2211yescharacteristic
50C22×C22⋊C4×C61C2211yescharacteristic
51C22×C22⋊C4×C61C2211yescharacteristic
52C22×C22⋊C4×C61C2211yescharacteristic
53C22×C42×C61C2211yescharacteristic, complemented
54C22×C42×C61C2211yescharacteristic, complemented
55C61×#401C2211yescharacteristic, complemented
56C61×#400C2211yescharacteristic, complemented
57C61×#400C2211yescharacteristic, complemented
58C61×#400C2211yescharacteristic, complemented
59C61×#400C2211yescharacteristic, complemented
60C61×#399C2211yescharacteristic, complemented
61C61×#398C2211yescharacteristic, complemented
62C61×#397C2211yescharacteristic, complemented
63C61×#397C2211yescharacteristic, complemented
64C61×#397C2211yescharacteristic, complemented
65C61×#397C2211yescharacteristic, complemented
66C61×#397C2211yescharacteristic, complemented
67C61×#397C2211yescharacteristic, complemented
68C61×#397C2211yescharacteristic, complemented
69C61×#397C2211yescharacteristic, complemented
70C61×#396C2211yescharacteristic, complemented
71C61×#396C2211yescharacteristic, complemented
72C61×#396C2211yescharacteristic, complemented
73C61×#394C2211yescharacteristic
74C61×#394C2211yescharacteristic
75C61×#394C2211yescharacteristic
76C61×#394C2211yescharacteristic
77C61×#394C2211yescharacteristic
78C61×#394C2211yescharacteristic
79C61×#394C2211yescharacteristic, complemented
80C61×#394C2211yescharacteristic, complemented
81C61×#394C2211yescharacteristic, complemented
82C61×#394C2211yescharacteristic, complemented
83C61×#393C2211yescharacteristic, complemented
84C61×#393C2211yescharacteristic, complemented
85C61×#392C2211yescharacteristic
86C61×#392C2211yescharacteristic
87C61×#391C2211yescharacteristic, complemented
88C61×#391C2211yescharacteristic, complemented
89C61×#390C2211yescharacteristic, complemented
90C61×#390C2211yescharacteristic, complemented
91C61×#390C2211yescharacteristic, complemented
92C61×#389C2211yescharacteristic, complemented
93C61×#389C2211yescharacteristic, complemented
94C61×#389C2211yescharacteristic, complemented
95C61×#388C2211yescharacteristic, complemented
96C61×#388C2211yescharacteristic, complemented
97C61×#388C2211yescharacteristic, complemented
98C61×#388C2211yescharacteristic, complemented
99C61×#388C2211yescharacteristic, complemented
100C61×#388C2211yescharacteristic, complemented
101C61×#388C2211yescharacteristic, complemented
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×#388C2211yescharacteristic, complemented
111C61×#388C2211yescharacteristic, complemented
112C61×#388C2211yescharacteristic, complemented
113C61×#388C2211yescharacteristic, complemented
114C61×#388C2211yescharacteristic, complemented
115C61×#388C2211yescharacteristic, complemented
116C61×#387C2211yescharacteristic, complemented
117C61×#387C2211yescharacteristic, complemented
118C61×#387C2211yescharacteristic, complemented
119C61×#387C2211yescharacteristic, complemented
120C61×#387C2211yescharacteristic, complemented
121C61×#387C2211yescharacteristic, complemented
122C61×#387C2211yescharacteristic, complemented
123C61×#387C2211yescharacteristic, complemented
124C61×#387C2211yescharacteristic, complemented
125C61×#386C2211yescharacteristic
126C61×#386C2211yescharacteristic
127C61×#386C2211yescharacteristic
128C61×#386C2211yescharacteristic
129C61×#386C2211yescharacteristic
130C61×#386C2211yescharacteristic
131C61×#386C2211yescharacteristic
132C61×#386C2211yescharacteristic
133C61×#386C2211yescharacteristic
134C61×#386C2211yescharacteristic
135C61×#386C2211yescharacteristic
136C61×#386C2211yescharacteristic
137C61×#386C2211yescharacteristic
138C61×#386C2211yescharacteristic
139C61×#386C2211yescharacteristic
140C61×#386C2211yescharacteristic
141C61×#386C2211yescharacteristic, complemented
142C61×#386C2211yescharacteristic, complemented
143C61×#386C2211yescharacteristic, complemented
144C61×#386C2211yescharacteristic, complemented
145C61×#386C2211yescharacteristic, complemented
146C61×#385C2211yescharacteristic
147C61×#385C2211yescharacteristic
148C61×#385C2211yescharacteristic
149C61×#385C2211yescharacteristic
150C61×#385C2211yescharacteristic
151C61×#385C2211yescharacteristic
152C61×#385C2211yescharacteristic, complemented
153C61×#385C2211yescharacteristic, complemented
154C61×#385C2211yescharacteristic, complemented
155C61×#385C2211yescharacteristic, complemented
156C61×#385C2211yescharacteristic, complemented
157C61×#383C2211yescharacteristic, complemented
158C61×#383C2211yescharacteristic, complemented
159C61×#382C2211yescharacteristic, complemented
160C61×#382C2211yescharacteristic, complemented
161C61×#381C2211yescharacteristic, complemented
162C61×#381C2211yescharacteristic, complemented
163C61×#380C2211yescharacteristic
164C61×#380C2211yescharacteristic
165C61×#380C2211yescharacteristic
166C61×#380C2211yescharacteristic, complemented
167C61×#380C2211yescharacteristic, complemented
168C61×#379C2211yescharacteristic
169C61×#379C2211yescharacteristic
170C61×#379C2211yescharacteristic
171C61×#379C2211yescharacteristic
172C4×C22⋊C4×C61C2211yescharacteristic
173C4×C22⋊C4×C61C2211yescharacteristic
174C4×C22⋊C4×C61C2211yescharacteristic
175C4×C22⋊C4×C61C2211yescharacteristic
176C4×C22⋊C4×C61C2211yescharacteristic
177C4×C22⋊C4×C61C2211yescharacteristic, complemented
178C4×C22⋊C4×C61C2211yescharacteristic, complemented
179C4×C22⋊C4×C61C2211yescharacteristic, complemented
180C4×C22⋊C4×C61C2211yescharacteristic, complemented
181C4×C22⋊C4×C61C2211yescharacteristic, complemented
182C4×C22⋊C4×C61C2211yescharacteristic, complemented
183C2×#95×C61C2211yescharacteristic
184C2×#95×C61C2211yescharacteristic
185C2×#95×C61C2211yescharacteristic, complemented
186C2×#95×C61C2211yescharacteristic, complemented
187C25×C61C2311yescharacteristic
188C25×C61C2311yescharacteristic
189C22×Q8×C61C2311yescharacteristic
190C22×D4×C61—24no—
191C22×D4×C61—42no—
192C22×D4×C61—42no—
193C22×D4×C61C2311yescharacteristic
194C22×D4×C61C2311yescharacteristic
195C22×D4×C61C2311yescharacteristic
196C22×D4×C61C2311yescharacteristic
197C22×D4×C61C2311yescharacteristic
198C22×D4×C61C2311yescharacteristic
199C22×D4×C61C2311yescharacteristic
200C22×D4×C61C2311yescharacteristic
201C22×D4×C61C2311yescharacteristic
202C23×C4×C61—24no—
203C23×C4×C61—42no—
204C23×C4×C61—42no—
205C23×C4×C61C2311yescharacteristic
206C23×C4×C61C2311yescharacteristic
207C23×C4×C61C2311yescharacteristic
208C23×C4×C61C2311yescharacteristic
209C23×C4×C61C2311yescharacteristic
210C23×C4×C61C2311yescharacteristic
211C23×C4×C61C2311yescharacteristic
212C23×C4×C61C2311yescharacteristic
213C23×C4×C61C2311yescharacteristic
214C23×C4×C61C2311yescharacteristic
215C23×C4×C61C2311yescharacteristic
216C23×C4×C61C2311yescharacteristic
217C23×C4×C61C2311yescharacteristic
218C23×C4×C61C2311yescharacteristic
219#126×C61—42no—
220#124×C61—42no—
221#123×C61—42no—
222#123×C61—42no—
223#123×C61—42no—
224C22⋊Q8×C61—24no—
225C22⋊Q8×C61—42no—
226#121×C61—42no—
227#121×C61—42no—
228#120×C61—24no—
229#120×C61—24no—
230C4×D4×C61—24no—
231C4×D4×C61—42no—
232C4×D4×C61—42no—
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×C22⋊C4×C61—24no—
256C2×C22⋊C4×C61—24no—
257C2×C22⋊C4×C61—24no—
258C2×C22⋊C4×C61—42no—
259C2×C22⋊C4×C61—42no—
260C2×C22⋊C4×C61C2311yescharacteristic
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×C22⋊C4×C61C2311yescharacteristic
308C2×C22⋊C4×C61C2311yescharacteristic
309C2×C22⋊C4×C61C2311yescharacteristic
310C2×C22⋊C4×C61C2311yescharacteristic
311C2×C22⋊C4×C61C2311yescharacteristic
312C2×C42×C61—42no—
313C2×C42×C61—42no—
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
325#95×C61C2311yescharacteristic
326#95×C61C2311yescharacteristic
327#95×C61C2311yescharacteristic
328#95×C61C2311yescharacteristic
329#95×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
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—22no—
372C24×C61—22no—
373C24×C61—22no—
374C24×C61—22no—
375C24×C61—22no—
376C24×C61—41no—
377C24×C61—41no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61#4114yes—
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C24×C61C2411yescharacteristic
388C24×C61C2411yescharacteristic
389C2×Q8×C61—22no—
390C2×Q8×C61—41no—
391C2×Q8×C61—41no—
392C2×D4×C61—22no—
393C2×D4×C61—22no—
394C2×D4×C61—22no—
395C2×D4×C61—22no—
396C2×D4×C61—22no—
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—22no—
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—41no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—416no—
420C22×C4×C61—22no—
421C22×C4×C61—22no—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—22no—
427C22×C4×C61—22no—
428C22×C4×C61—22no—
429C22×C4×C61—22no—
430C22×C4×C61—22no—
431C22×C4×C61—22no—
432C22×C4×C61—22no—
433C22×C4×C61—22no—
434C22×C4×C61—22no—
435C22×C4×C61—22no—
436C22×C4×C61—22no—
437C22×C4×C61—22no—
438C22×C4×C61—22no—
439C22×C4×C61—22no—
440C22×C4×C61—22no—
441C22×C4×C61—22no—
442C22×C4×C61—41no—
443C22×C4×C61—41no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61—41no—
447C22×C4×C61—41no—
448C22×C4×C61—41no—
449C22×C4×C61—41no—
450C22×C4×C61—41no—
451C22×C4×C61—41no—
452C22×C4×C61—41no—
453C22×C4×C61—41no—
454C22×C4×C61—41no—
455C22×C4×C61—41no—
456C22×C4×C61—41no—
457C22×C4×C61—41no—
458C22×C4×C61—41no—
459C22×C4×C61—41no—
460C22×C4×C61—41no—
461C22×C4×C61—416no—
462C22×C4×C61#4114yes—
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2411yescharacteristic
475C22×C4×C61C2411yescharacteristic
476C22×C4×C61C2411yescharacteristic
477C22×C4×C61C2411yescharacteristic
478C22×C4×C61C2411yescharacteristic
479C22×C4×C61C2411yescharacteristic
480C22×C4×C61C2411yescharacteristic
481C22×C4×C61C2411yescharacteristic
482C22×C4×C61C2411yescharacteristic
483C22×C4×C61C2411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C22×C4×C61C2411yescharacteristic
488C4⋊C4×C61—22no—
489C4⋊C4×C61—22no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—22no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C4⋊C4×C61—41no—
496C4⋊C4×C61—41no—
497C4⋊C4×C61—41no—
498C4⋊C4×C61—41no—
499C4⋊C4×C61—41no—
500C4⋊C4×C61—41no—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
503C4⋊C4×C61—41no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61—41no—
506C4⋊C4×C61—41no—
507C4⋊C4×C61—41no—
508C4⋊C4×C61—41no—
509C4⋊C4×C61—41no—
510C22⋊C4×C61—22no—
511C22⋊C4×C61—22no—
512C22⋊C4×C61—22no—
513C22⋊C4×C61—22no—
514C22⋊C4×C61—22no—
515C22⋊C4×C61—22no—
516C22⋊C4×C61—22no—
517C22⋊C4×C61—22no—
518C22⋊C4×C61—22no—
519C22⋊C4×C61—22no—
520C22⋊C4×C61—22no—
521C22⋊C4×C61—22no—
522C22⋊C4×C61—22no—
523C22⋊C4×C61—22no—
524C22⋊C4×C61—22no—
525C22⋊C4×C61—22no—
526C22⋊C4×C61—22no—
527C22⋊C4×C61—22no—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61—41no—
556C22⋊C4×C61—41no—
557C22⋊C4×C61—41no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61#4114yes—
562C42×C61—22no—
563C42×C61—22no—
564C42×C61—22no—
565C42×C61—41no—
566C42×C61—41no—
567C42×C61—41no—
568C42×C61—41no—
569C42×C61—41no—
570C42×C61—41no—
571C42×C61—41no—
572C42×C61—41no—
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—28no—
582C23×C61—28no—
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—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—44no—
611C23×C61—44no—
612C23×C61—44no—
613C23×C61—44no—
614C23×C61—44no—
615C23×C61—44no—
616C23×C61—44no—
617C23×C61—44no—
618C23×C61—82no—
619C23×C61—82no—
620C23×C61—82no—
621C23×C61—82no—
622C23×C61C2×#4112yes—
623C23×C61C2×#4112yes—
624C23×C61C2×#4112yes—
625C23×C61C2×#4112yes—
626C23×C61C2×#4112yes—
627C23×C61H(5,𝔽2)12yes—
628C23×C61H(5,𝔽2)12yes—
629C23×C61C2511yescharacteristic
630Q8×C61—82no—
631D4×C61—44no—
632D4×C61—44no—
633D4×C61—44no—
634D4×C61—44no—
635D4×C61—44no—
636D4×C61—44no—
637D4×C61—44no—
638D4×C61—82no—
639D4×C61—82no—
640C2×C4×C61—28no—
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—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—44no—
712C2×C4×C61—44no—
713C2×C4×C61—44no—
714C2×C4×C61—44no—
715C2×C4×C61—44no—
716C2×C4×C61—44no—
717C2×C4×C61—44no—
718C2×C4×C61—44no—
719C2×C4×C61—44no—
720C2×C4×C61—44no—
721C2×C4×C61—82no—
722C2×C4×C61—82no—
723C2×C4×C61—82no—
724C2×C4×C61C2×#4112yes—
725C2×C4×C61C2×#4112yes—
726C2×C4×C61C2×#4112yes—
727C2×C4×C61C2×#4112yes—
728C2×C4×C61H(5,𝔽2)12yes—
729#34998C6111yesmaximal, characteristic, direct product factor, Sylow
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—22no—
739C22×C61—22no—
740C22×C61—22no—
741C22×C61—22no—
742C22×C61—22no—
743C22×C61—22no—
744C22×C61—22no—
745C22×C61—416no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—41no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—88no—
772C22×C61#52914yes—
773C22×C61#53814yes—
774C22×C61C22×#4111yescharacteristic
775C22×C61C22×#4111yescharacteristic
776C22×C61C22×#4111yescharacteristic
777C22×C61C2×H(5,𝔽2)11yescharacteristic
778C22×C61C2×H(5,𝔽2)11yescharacteristic
779C22×C61C2×H(5,𝔽2)11yescharacteristic
780C22×C61#58511yescharacteristic
781C4×C61—22no—
782C4×C61—22no—
783C4×C61—22no—
784C4×C61—22no—
785C4×C61—22no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793C4×C61—41no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806#2854C2×C6111yescharacteristic, complemented
807#2853C2×C6111yescharacteristic, complemented
808#2852C2×C6111yescharacteristic, complemented
809#2850C2×C6111yescharacteristic, complemented
810#2653C2×C6111yescharacteristic, complemented
811#2649C2×C6111yescharacteristic, complemented
812#2648C2×C6111yescharacteristic, complemented
813#2648C2×C6111yescharacteristic, complemented
814#2518C2×C6111yescharacteristic, complemented
815#2518C2×C6111yescharacteristic, complemented
816#2510C2×C6111yescharacteristic, complemented
817#2510C2×C6111yescharacteristic, complemented
818#2505C2×C6111yescharacteristic, complemented
819#2488C2×C6111yescharacteristic, complemented
820#2480C2×C6111yescharacteristic, complemented
821#2472C2×C6111yescharacteristic, complemented
822#2467C2×C6111yescharacteristic, complemented
823#2459C2×C6111yescharacteristic, complemented
824#2444C2×C6111yescharacteristic, complemented
825#2437C2×C6111yescharacteristic, complemented
826#2425C2×C6111yescharacteristic, complemented
827#2412C2×C6111yescharacteristic, complemented
828#2410C2×C6111yescharacteristic
829#2405C2×C6111yescharacteristic, complemented
830#2329C2×C6111yescharacteristic, complemented
831#2321C2×C6111yescharacteristic, complemented
832#2318C2×C6111yescharacteristic, complemented
833#2312C2×C6111yescharacteristic, complemented
834C4×#120C2×C6111yescharacteristic, complemented
835C2×#386C2×C6111yescharacteristic, complemented
836C2×C4×C22⋊C4C2×C6111yescharacteristic, complemented
837C2×C61—24no—
838C2×C61—24no—
839C2×C61—42no—
840C2×C61—81no—
841C2×C61—81no—
842C2×C61—81no—
843C2×C61C2×#52911yescharacteristic
844C2×C61C2×#53811yescharacteristic
845C2×C61#345911yescharacteristic
846C2×C61#349011yescharacteristic
847C2×C61#349411yescharacteristic
848C2×C61#351311yescharacteristic
849C2×C61#351911yescharacteristic
850C23×D4C22×C6111yescharacteristic
851C24×C4C22×C6111yescharacteristic
852C2×#126C22×C6111yescharacteristic, complemented
853C2×#124C22×C6111yescharacteristic, complemented
854C2×#123C22×C6111yescharacteristic
855C2×#123C22×C6111yescharacteristic
856C2×#123C22×C6111yescharacteristic, complemented
857C2×C22⋊Q8C22×C6111yescharacteristic
858C2×C22⋊Q8C22×C6111yescharacteristic, complemented
859C2×#121C22×C6111yescharacteristic
860C2×#121C22×C6111yescharacteristic
861C2×#120C22×C6111yescharacteristic
862C2×#120C22×C6111yescharacteristic
863C2×C4×D4C22×C6111yescharacteristic
864C2×C4×D4C22×C6111yescharacteristic, complemented
865C2×C4×D4C22×C6111yescharacteristic, complemented
866C22×C22⋊C4C22×C6111yescharacteristic
867C22×C22⋊C4C22×C6111yescharacteristic
868C22×C22⋊C4C22×C6111yescharacteristic
869C22×C22⋊C4C22×C6111yescharacteristic
870C22×C22⋊C4C22×C6111yescharacteristic
871C22×C42C22×C6111yescharacteristic, complemented
872C22×C42C22×C6111yescharacteristic, complemented
873#401C22×C6111yescharacteristic, complemented
874#400C22×C6111yescharacteristic, complemented
875#400C22×C6111yescharacteristic, complemented
876#400C22×C6111yescharacteristic, complemented
877#400C22×C6111yescharacteristic, complemented
878#399C22×C6111yescharacteristic, complemented
879#398C22×C6111yescharacteristic, complemented
880#397C22×C6111yescharacteristic, complemented
881#397C22×C6111yescharacteristic, complemented
882#397C22×C6111yescharacteristic, complemented
883#397C22×C6111yescharacteristic, complemented
884#397C22×C6111yescharacteristic, complemented
885#397C22×C6111yescharacteristic, complemented
886#397C22×C6111yescharacteristic, complemented
887#397C22×C6111yescharacteristic, complemented
888#396C22×C6111yescharacteristic, complemented
889#396C22×C6111yescharacteristic, complemented
890#396C22×C6111yescharacteristic, complemented
891#394C22×C6111yescharacteristic
892#394C22×C6111yescharacteristic
893#394C22×C6111yescharacteristic
894#394C22×C6111yescharacteristic
895#394C22×C6111yescharacteristic
896#394C22×C6111yescharacteristic
897#394C22×C6111yescharacteristic, complemented
898#394C22×C6111yescharacteristic, complemented
899#394C22×C6111yescharacteristic, complemented
900#394C22×C6111yescharacteristic, complemented
901#393C22×C6111yescharacteristic, complemented
902#393C22×C6111yescharacteristic, complemented
903#392C22×C6111yescharacteristic
904#392C22×C6111yescharacteristic
905#391C22×C6111yescharacteristic, complemented
906#391C22×C6111yescharacteristic, complemented
907#390C22×C6111yescharacteristic, complemented
908#390C22×C6111yescharacteristic, complemented
909#390C22×C6111yescharacteristic, complemented
910#389C22×C6111yescharacteristic, complemented
911#389C22×C6111yescharacteristic, complemented
912#389C22×C6111yescharacteristic, complemented
913#388C22×C6111yescharacteristic, complemented
914#388C22×C6111yescharacteristic, complemented
915#388C22×C6111yescharacteristic, complemented
916#388C22×C6111yescharacteristic, complemented
917#388C22×C6111yescharacteristic, complemented
918#388C22×C6111yescharacteristic, complemented
919#388C22×C6111yescharacteristic, complemented
920#388C22×C6111yescharacteristic, complemented
921#388C22×C6111yescharacteristic, complemented
922#388C22×C6111yescharacteristic, complemented
923#388C22×C6111yescharacteristic, complemented
924#388C22×C6111yescharacteristic, complemented
925#388C22×C6111yescharacteristic, complemented
926#388C22×C6111yescharacteristic, complemented
927#388C22×C6111yescharacteristic, complemented
928#388C22×C6111yescharacteristic, complemented
929#388C22×C6111yescharacteristic, complemented
930#388C22×C6111yescharacteristic, complemented
931#388C22×C6111yescharacteristic, complemented
932#388C22×C6111yescharacteristic, complemented
933#388C22×C6111yescharacteristic, complemented
934#387C22×C6111yescharacteristic, complemented
935#387C22×C6111yescharacteristic, complemented
936#387C22×C6111yescharacteristic, complemented
937#387C22×C6111yescharacteristic, complemented
938#387C22×C6111yescharacteristic, complemented
939#387C22×C6111yescharacteristic, complemented
940#387C22×C6111yescharacteristic, complemented
941#387C22×C6111yescharacteristic, complemented
942#387C22×C6111yescharacteristic, complemented
943#386C22×C6111yescharacteristic
944#386C22×C6111yescharacteristic
945#386C22×C6111yescharacteristic
946#386C22×C6111yescharacteristic
947#386C22×C6111yescharacteristic
948#386C22×C6111yescharacteristic
949#386C22×C6111yescharacteristic
950#386C22×C6111yescharacteristic
951#386C22×C6111yescharacteristic
952#386C22×C6111yescharacteristic
953#386C22×C6111yescharacteristic
954#386C22×C6111yescharacteristic
955#386C22×C6111yescharacteristic
956#386C22×C6111yescharacteristic
957#386C22×C6111yescharacteristic
958#386C22×C6111yescharacteristic
959#386C22×C6111yescharacteristic, complemented
960#386C22×C6111yescharacteristic, complemented
961#386C22×C6111yescharacteristic, complemented
962#386C22×C6111yescharacteristic, complemented
963#386C22×C6111yescharacteristic, complemented
964#385C22×C6111yescharacteristic
965#385C22×C6111yescharacteristic
966#385C22×C6111yescharacteristic
967#385C22×C6111yescharacteristic
968#385C22×C6111yescharacteristic
969#385C22×C6111yescharacteristic
970#385C22×C6111yescharacteristic, complemented
971#385C22×C6111yescharacteristic, complemented
972#385C22×C6111yescharacteristic, complemented
973#385C22×C6111yescharacteristic, complemented
974#385C22×C6111yescharacteristic, complemented
975#383C22×C6111yescharacteristic, complemented
976#383C22×C6111yescharacteristic, complemented
977#382C22×C6111yescharacteristic, complemented
978#382C22×C6111yescharacteristic, complemented
979#381C22×C6111yescharacteristic, complemented
980#381C22×C6111yescharacteristic, complemented
981#380C22×C6111yescharacteristic
982#380C22×C6111yescharacteristic
983#380C22×C6111yescharacteristic
984#380C22×C6111yescharacteristic, complemented
985#380C22×C6111yescharacteristic, complemented
986#379C22×C6111yescharacteristic
987#379C22×C6111yescharacteristic
988#379C22×C6111yescharacteristic
989#379C22×C6111yescharacteristic
990C4×C22⋊C4C22×C6111yescharacteristic
991C4×C22⋊C4C22×C6111yescharacteristic
992C4×C22⋊C4C22×C6111yescharacteristic
993C4×C22⋊C4C22×C6111yescharacteristic
994C4×C22⋊C4C22×C6111yescharacteristic
995C4×C22⋊C4C22×C6111yescharacteristic, complemented
996C4×C22⋊C4C22×C6111yescharacteristic, complemented
997C4×C22⋊C4C22×C6111yescharacteristic, complemented
998C4×C22⋊C4C22×C6111yescharacteristic, complemented
999C4×C22⋊C4C22×C6111yescharacteristic, complemented
1000C4×C22⋊C4C22×C6111yescharacteristic, complemented
1001C2×#95C22×C6111yescharacteristic
1002C2×#95C22×C6111yescharacteristic
1003C2×#95C22×C6111yescharacteristic, complemented
1004C2×#95C22×C6111yescharacteristic, complemented
1005C61#3499811yescharacteristic, direct product factor, Sylow
1006C25C23×C6111yescharacteristic
1007C25C23×C6111yescharacteristic
1008C22×Q8C23×C6111yescharacteristic
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4C23×C6111yescharacteristic
1013C22×D4C23×C6111yescharacteristic
1014C22×D4C23×C6111yescharacteristic
1015C22×D4C23×C6111yescharacteristic
1016C22×D4C23×C6111yescharacteristic
1017C22×D4C23×C6111yescharacteristic
1018C22×D4C23×C6111yescharacteristic
1019C22×D4C23×C6111yescharacteristic
1020C22×D4C23×C6111yescharacteristic
1021C23×C4—24no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4C23×C6111yescharacteristic
1025C23×C4C23×C6111yescharacteristic
1026C23×C4C23×C6111yescharacteristic
1027C23×C4C23×C6111yescharacteristic
1028C23×C4C23×C6111yescharacteristic
1029C23×C4C23×C6111yescharacteristic
1030C23×C4C23×C6111yescharacteristic
1031C23×C4C23×C6111yescharacteristic
1032C23×C4C23×C6111yescharacteristic
1033C23×C4C23×C6111yescharacteristic
1034C23×C4C23×C6111yescharacteristic
1035C23×C4C23×C6111yescharacteristic
1036C23×C4C23×C6111yescharacteristic
1037C23×C4C23×C6111yescharacteristic
1038#126—42no—
1039#124—42no—
1040#123—42no—
1041#123—42no—
1042#123—42no—
1043C22⋊Q8—24no—
1044C22⋊Q8—42no—
1045#121—42no—
1046#121—42no—
1047#120—24no—
1048#120—24no—
1049C4×D4—24no—
1050C4×D4—42no—
1051C4×D4—42no—
1052C2×C4⋊C4C23×C6111yescharacteristic
1053C2×C4⋊C4C23×C6111yescharacteristic
1054C2×C4⋊C4C23×C6111yescharacteristic
1055C2×C4⋊C4C23×C6111yescharacteristic
1056C2×C4⋊C4C23×C6111yescharacteristic
1057C2×C4⋊C4C23×C6111yescharacteristic
1058C2×C4⋊C4C23×C6111yescharacteristic
1059C2×C4⋊C4C23×C6111yescharacteristic
1060C2×C4⋊C4C23×C6111yescharacteristic
1061C2×C4⋊C4C23×C6111yescharacteristic
1062C2×C4⋊C4C23×C6111yescharacteristic
1063C2×C4⋊C4C23×C6111yescharacteristic
1064C2×C4⋊C4C23×C6111yescharacteristic
1065C2×C4⋊C4C23×C6111yescharacteristic
1066C2×C4⋊C4C23×C6111yescharacteristic
1067C2×C4⋊C4C23×C6111yescharacteristic
1068C2×C4⋊C4C23×C6111yescharacteristic
1069C2×C4⋊C4C23×C6111yescharacteristic
1070C2×C4⋊C4C23×C6111yescharacteristic
1071C2×C4⋊C4C23×C6111yescharacteristic
1072C2×C4⋊C4C23×C6111yescharacteristic
1073C2×C4⋊C4C23×C6111yescharacteristic
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—24no—
1076C2×C22⋊C4—24no—
1077C2×C22⋊C4—42no—
1078C2×C22⋊C4—42no—
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×C22⋊C4C23×C6111yescharacteristic
1093C2×C22⋊C4C23×C6111yescharacteristic
1094C2×C22⋊C4C23×C6111yescharacteristic
1095C2×C22⋊C4C23×C6111yescharacteristic
1096C2×C22⋊C4C23×C6111yescharacteristic
1097C2×C22⋊C4C23×C6111yescharacteristic
1098C2×C22⋊C4C23×C6111yescharacteristic
1099C2×C22⋊C4C23×C6111yescharacteristic
1100C2×C22⋊C4C23×C6111yescharacteristic
1101C2×C22⋊C4C23×C6111yescharacteristic
1102C2×C22⋊C4C23×C6111yescharacteristic
1103C2×C22⋊C4C23×C6111yescharacteristic
1104C2×C22⋊C4C23×C6111yescharacteristic
1105C2×C22⋊C4C23×C6111yescharacteristic
1106C2×C22⋊C4C23×C6111yescharacteristic
1107C2×C22⋊C4C23×C6111yescharacteristic
1108C2×C22⋊C4C23×C6111yescharacteristic
1109C2×C22⋊C4C23×C6111yescharacteristic
1110C2×C22⋊C4C23×C6111yescharacteristic
1111C2×C22⋊C4C23×C6111yescharacteristic
1112C2×C22⋊C4C23×C6111yescharacteristic
1113C2×C22⋊C4C23×C6111yescharacteristic
1114C2×C22⋊C4C23×C6111yescharacteristic
1115C2×C22⋊C4C23×C6111yescharacteristic
1116C2×C22⋊C4C23×C6111yescharacteristic
1117C2×C22⋊C4C23×C6111yescharacteristic
1118C2×C22⋊C4C23×C6111yescharacteristic
1119C2×C22⋊C4C23×C6111yescharacteristic
1120C2×C22⋊C4C23×C6111yescharacteristic
1121C2×C22⋊C4C23×C6111yescharacteristic
1122C2×C22⋊C4C23×C6111yescharacteristic
1123C2×C22⋊C4C23×C6111yescharacteristic
1124C2×C22⋊C4C23×C6111yescharacteristic
1125C2×C22⋊C4C23×C6111yescharacteristic
1126C2×C22⋊C4C23×C6111yescharacteristic
1127C2×C22⋊C4C23×C6111yescharacteristic
1128C2×C22⋊C4C23×C6111yescharacteristic
1129C2×C22⋊C4C23×C6111yescharacteristic
1130C2×C22⋊C4C23×C6111yescharacteristic
1131C2×C42—42no—
1132C2×C42—42no—
1133C2×C42C23×C6111yescharacteristic
1134C2×C42C23×C6111yescharacteristic
1135C2×C42C23×C6111yescharacteristic
1136C2×C42C23×C6111yescharacteristic
1137C2×C42C23×C6111yescharacteristic
1138C2×C42C23×C6111yescharacteristic
1139C2×C42C23×C6111yescharacteristic
1140C2×C42C23×C6111yescharacteristic
1141C2×C42C23×C6111yescharacteristic
1142C2×C42C23×C6111yescharacteristic
1143C2×C42C23×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
1155#95C23×C6111yescharacteristic
1156#95C23×C6111yescharacteristic
1157#95C23×C6111yescharacteristic
1158#95C23×C6111yescharacteristic
1159#95C23×C6111yescharacteristic
1160#95C23×C6111yescharacteristic
1161#95C23×C6111yescharacteristic
1162#95C23×C6111yescharacteristic
1163#95C23×C6111yescharacteristic
1164#95C23×C6111yescharacteristic
1165#95C23×C6111yescharacteristic
1166#95C23×C6111yescharacteristic
1167#95C23×C6111yescharacteristic
1168#95C23×C6111yescharacteristic
1169#95C23×C6111yescharacteristic
1170#95C23×C6111yescharacteristic
1171#95C23×C6111yescharacteristic
1172#95C23×C6111yescharacteristic
1173#95C23×C6111yescharacteristic
1174#95C23×C6111yescharacteristic
1175#95C23×C6111yescharacteristic
1176#95C23×C6111yescharacteristic
1177#95C23×C6111yescharacteristic
1178#95C23×C6111yescharacteristic
1179#95C23×C6111yescharacteristic
1180#95C23×C6111yescharacteristic
1181#95C23×C6111yescharacteristic
1182#95C23×C6111yescharacteristic
1183#95C23×C6111yescharacteristic
1184#95C23×C6111yescharacteristic
1185#95C23×C6111yescharacteristic
1186#95C23×C6111yescharacteristic
1187#95C23×C6111yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24#41×C6114yes—
1202C24C24×C6111yescharacteristic
1203C24C24×C6111yescharacteristic
1204C24C24×C6111yescharacteristic
1205C24C24×C6111yescharacteristic
1206C24C24×C6111yescharacteristic
1207C24C24×C6111yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—416no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—416no—
1281C22×C4#41×C6114yes—
1282C22×C4C24×C6111yescharacteristic
1283C22×C4C24×C6111yescharacteristic
1284C22×C4C24×C6111yescharacteristic
1285C22×C4C24×C6111yescharacteristic
1286C22×C4C24×C6111yescharacteristic
1287C22×C4C24×C6111yescharacteristic
1288C22×C4C24×C6111yescharacteristic
1289C22×C4C24×C6111yescharacteristic
1290C22×C4C24×C6111yescharacteristic
1291C22×C4C24×C6111yescharacteristic
1292C22×C4C24×C6111yescharacteristic
1293C22×C4C24×C6111yescharacteristic
1294C22×C4C24×C6111yescharacteristic
1295C22×C4C24×C6111yescharacteristic
1296C22×C4C24×C6111yescharacteristic
1297C22×C4C24×C6111yescharacteristic
1298C22×C4C24×C6111yescharacteristic
1299C22×C4C24×C6111yescharacteristic
1300C22×C4C24×C6111yescharacteristic
1301C22×C4C24×C6111yescharacteristic
1302C22×C4C24×C6111yescharacteristic
1303C22×C4C24×C6111yescharacteristic
1304C22×C4C24×C6111yescharacteristic
1305C22×C4C24×C6111yescharacteristic
1306C22×C4C24×C6111yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4#41×C6114yes—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C42—41no—
1388C42—41no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23C2×#41×C6112yes—
1442C23C2×#41×C6112yes—
1443C23C2×#41×C6112yes—
1444C23C2×#41×C6112yes—
1445C23C2×#41×C6112yes—
1446C23H(5,𝔽2)×C6112yes—
1447C23H(5,𝔽2)×C6112yes—
1448C23C25×C6111yescharacteristic
1449Q8—82no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—44no—
1456D4—44no—
1457D4—82no—
1458D4—82no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4C2×#41×C6112yes—
1544C2×C4C2×#41×C6112yes—
1545C2×C4C2×#41×C6112yes—
1546C2×C4C2×#41×C6112yes—
1547C2×C4H(5,𝔽2)×C6112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—88no—
1590C22C61×#52914yes—
1591C22C61×#53814yes—
1592C22C22×#41×C6111yescharacteristic
1593C22C22×#41×C6111yescharacteristic
1594C22C22×#41×C6111yescharacteristic
1595C22C2×H(5,𝔽2)×C6111yescharacteristic
1596C22C2×H(5,𝔽2)×C6111yescharacteristic
1597C22C2×H(5,𝔽2)×C6111yescharacteristic
1598C22C61×#58511yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—81no—
1630C2C2×C61×#52911yescharacteristic
1631C2C2×C61×#53811yescharacteristic
1632C2C61×#345911yescharacteristic
1633C2C61×#349011yescharacteristic
1634C2C61×#349411yescharacteristic
1635C2C61×#351311yescharacteristic
1636C2C61×#351911yescharacteristic
subgroupG/H
center, socleC23×C61C25
commutator, Frattini, cosocleC23C25×C61
prime radicalC61×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#2854C2semidirect
2. C61×#2853C2semidirect
3. C61×#2852C2semidirect
4. C61×#2850C2semidirect
5. C61×#2653C2semidirect
6. C61×#2649C2semidirect
7. C61×#2648C2semidirect
8. C61×#2648C2semidirect
9. C61×#2518C2semidirect
10. C61×#2518C2semidirect
11. C61×#2510C2semidirect
12. C61×#2510C2semidirect
13. C61×#2505C2semidirect
14. C61×#2488C2semidirect
15. C61×#2480C2semidirect
16. C61×#2472C2semidirect
17. C61×#2467C2semidirect
18. C61×#2459C2semidirect
19. C61×#2444C2semidirect
20. C61×#2437C2semidirect
21. C61×#2425C2semidirect
22. C61×#2412C2semidirect
24. C61×#2405C2semidirect
25. C61×#2329C2semidirect
26. C61×#2321C2semidirect
27. C61×#2318C2semidirect
28. C61×#2312C2semidirect
29. C4×#120×C61C2semidirect
30. C2×C61×#386C2semidirect
31. C2×C4×C22⋊C4×C61C2semidirect
34. C2×#126×C61C22semidirect
35. C2×#124×C61C22semidirect
38. C2×#123×C61C22semidirect
40. C2×C22⋊Q8×C61C22semidirect
46. C2×C4×D4×C61C22semidirect
47. C2×C4×D4×C61C22semidirect
53. C22×C42×C61C22semidirect
54. C22×C42×C61C22semidirect
55. C61×#401C22semidirect
56. C61×#400C22semidirect
57. C61×#400C22semidirect
58. C61×#400C22semidirect
59. C61×#400C22semidirect
60. C61×#399C22semidirect
61. C61×#398C22semidirect
62. C61×#397C22semidirect
63. C61×#397C22semidirect
64. C61×#397C22semidirect
65. C61×#397C22semidirect
66. C61×#397C22semidirect
67. C61×#397C22semidirect
68. C61×#397C22semidirect
69. C61×#397C22semidirect
70. C61×#396C22semidirect
71. C61×#396C22semidirect
72. C61×#396C22semidirect
79. C61×#394C22semidirect
80. C61×#394C22semidirect
81. C61×#394C22semidirect
82. C61×#394C22semidirect
83. C61×#393C22semidirect
84. C61×#393C22semidirect
87. C61×#391C22semidirect
88. C61×#391C22semidirect
89. C61×#390C22semidirect
90. C61×#390C22semidirect
91. C61×#390C22semidirect
92. C61×#389C22semidirect
93. C61×#389C22semidirect
94. C61×#389C22semidirect
95. C61×#388C22semidirect
96. C61×#388C22semidirect
97. C61×#388C22semidirect
98. C61×#388C22semidirect
99. C61×#388C22semidirect
100. C61×#388C22semidirect
101. C61×#388C22semidirect
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×#388C22semidirect
111. C61×#388C22semidirect
112. C61×#388C22semidirect
113. C61×#388C22semidirect
114. C61×#388C22semidirect
115. C61×#388C22semidirect
116. C61×#387C22semidirect
117. C61×#387C22semidirect
118. C61×#387C22semidirect
119. C61×#387C22semidirect
120. C61×#387C22semidirect
121. C61×#387C22semidirect
122. C61×#387C22semidirect
123. C61×#387C22semidirect
124. C61×#387C22semidirect
141. C61×#386C22semidirect
142. C61×#386C22semidirect
143. C61×#386C22semidirect
144. C61×#386C22semidirect
145. C61×#386C22semidirect
152. C61×#385C22semidirect
153. C61×#385C22semidirect
154. C61×#385C22semidirect
155. C61×#385C22semidirect
156. C61×#385C22semidirect
157. C61×#383C22semidirect
158. C61×#383C22semidirect
159. C61×#382C22semidirect
160. C61×#382C22semidirect
161. C61×#381C22semidirect
162. C61×#381C22semidirect
166. C61×#380C22semidirect
167. C61×#380C22semidirect
177. C4×C22⋊C4×C61C22semidirect
178. C4×C22⋊C4×C61C22semidirect
179. C4×C22⋊C4×C61C22semidirect
180. C4×C22⋊C4×C61C22semidirect
181. C4×C22⋊C4×C61C22semidirect
182. C4×C22⋊C4×C61C22semidirect
185. C2×#95×C61C22semidirect
186. C2×#95×C61C22semidirect
729. #34998C61direct (N × H)
806. #2854C2×C61semidirect
807. #2853C2×C61semidirect
808. #2852C2×C61semidirect
809. #2850C2×C61semidirect
810. #2653C2×C61semidirect
811. #2649C2×C61semidirect
812. #2648C2×C61semidirect
813. #2648C2×C61semidirect
814. #2518C2×C61semidirect
815. #2518C2×C61semidirect
816. #2510C2×C61semidirect
817. #2510C2×C61semidirect
818. #2505C2×C61semidirect
819. #2488C2×C61semidirect
820. #2480C2×C61semidirect
821. #2472C2×C61semidirect
822. #2467C2×C61semidirect
823. #2459C2×C61semidirect
824. #2444C2×C61semidirect
825. #2437C2×C61semidirect
826. #2425C2×C61semidirect
827. #2412C2×C61semidirect
829. #2405C2×C61semidirect
830. #2329C2×C61semidirect
831. #2321C2×C61semidirect
832. #2318C2×C61semidirect
833. #2312C2×C61semidirect
834. C4×#120C2×C61semidirect
835. C2×#386C2×C61semidirect
836. C2×C4×C22⋊C4C2×C61semidirect
852. C2×#126C22×C61semidirect
853. C2×#124C22×C61semidirect
856. C2×#123C22×C61semidirect
858. C2×C22⋊Q8C22×C61semidirect
864. C2×C4×D4C22×C61semidirect
865. C2×C4×D4C22×C61semidirect
871. C22×C42C22×C61semidirect
872. C22×C42C22×C61semidirect
873. #401C22×C61semidirect
874. #400C22×C61semidirect
875. #400C22×C61semidirect
876. #400C22×C61semidirect
877. #400C22×C61semidirect
878. #399C22×C61semidirect
879. #398C22×C61semidirect
880. #397C22×C61semidirect
881. #397C22×C61semidirect
882. #397C22×C61semidirect
883. #397C22×C61semidirect
884. #397C22×C61semidirect
885. #397C22×C61semidirect
886. #397C22×C61semidirect
887. #397C22×C61semidirect
888. #396C22×C61semidirect
889. #396C22×C61semidirect
890. #396C22×C61semidirect
897. #394C22×C61semidirect
898. #394C22×C61semidirect
899. #394C22×C61semidirect
900. #394C22×C61semidirect
901. #393C22×C61semidirect
902. #393C22×C61semidirect
905. #391C22×C61semidirect
906. #391C22×C61semidirect
907. #390C22×C61semidirect
908. #390C22×C61semidirect
909. #390C22×C61semidirect
910. #389C22×C61semidirect
911. #389C22×C61semidirect
912. #389C22×C61semidirect
913. #388C22×C61semidirect
914. #388C22×C61semidirect
915. #388C22×C61semidirect
916. #388C22×C61semidirect
917. #388C22×C61semidirect
918. #388C22×C61semidirect
919. #388C22×C61semidirect
920. #388C22×C61semidirect
921. #388C22×C61semidirect
922. #388C22×C61semidirect
923. #388C22×C61semidirect
924. #388C22×C61semidirect
925. #388C22×C61semidirect
926. #388C22×C61semidirect
927. #388C22×C61semidirect
928. #388C22×C61semidirect
929. #388C22×C61semidirect
930. #388C22×C61semidirect
931. #388C22×C61semidirect
932. #388C22×C61semidirect
933. #388C22×C61semidirect
934. #387C22×C61semidirect
935. #387C22×C61semidirect
936. #387C22×C61semidirect
937. #387C22×C61semidirect
938. #387C22×C61semidirect
939. #387C22×C61semidirect
940. #387C22×C61semidirect
941. #387C22×C61semidirect
942. #387C22×C61semidirect
959. #386C22×C61semidirect
960. #386C22×C61semidirect
961. #386C22×C61semidirect
962. #386C22×C61semidirect
963. #386C22×C61semidirect
970. #385C22×C61semidirect
971. #385C22×C61semidirect
972. #385C22×C61semidirect
973. #385C22×C61semidirect
974. #385C22×C61semidirect
975. #383C22×C61semidirect
976. #383C22×C61semidirect
977. #382C22×C61semidirect
978. #382C22×C61semidirect
979. #381C22×C61semidirect
980. #381C22×C61semidirect
984. #380C22×C61semidirect
985. #380C22×C61semidirect
995. C4×C22⋊C4C22×C61semidirect
996. C4×C22⋊C4C22×C61semidirect
997. C4×C22⋊C4C22×C61semidirect
998. C4×C22⋊C4C22×C61semidirect
999. C4×C22⋊C4C22×C61semidirect
1000. C4×C22⋊C4C22×C61semidirect
1003. C2×#95C22×C61semidirect
1004. C2×#95C22×C61semidirect
1005. C61#34998direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#28542
C61×#28532
C61×#28522
C61×#28502
C61×#26532
C61×#26492
C61×#26482
C61×#25182
C61×#25102
C61×#25052
C61×#24882
C61×#24802
C61×#24722
C61×#24672
C61×#24592
C61×#24442
C61×#24372
C61×#24252
C61×#24122
C61×#24102
C61×#24052
C61×#23292
C61×#23212
C61×#23182
C61×#23122
C4×#120×C612
C2×C61×#3862
C2×C4×C22⋊C4×C612
#3499861