Finite Group Databasebeta

← C61×#36807 #29540240

Subgroups — C61×#36807 #29540240

Order 15616.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#2852C211yesmaximal, characteristic, complemented
2C61×#2851C211yesmaximal, characteristic, complemented
3C61×#2796C211yesmaximal, characteristic, complemented
4C61×#2786C211yesmaximal, characteristic, complemented
5C61×#2757C211yesmaximal, characteristic, complemented
6C61×#2740C211yesmaximal, characteristic, complemented
7C61×#2737C211yesmaximal, characteristic, complemented
8C61×#2723C211yesmaximal, characteristic, complemented
9C61×#2711C211yesmaximal, characteristic, complemented
10C61×#2711C211yesmaximal, characteristic, complemented
11C61×#2707C211yesmaximal, characteristic, complemented
12C61×#2706C211yesmaximal, characteristic, complemented
13C61×#2705C211yesmaximal, characteristic, complemented
14C61×#2705C211yesmaximal, characteristic, complemented
15C61×#2696C211yesmaximal, characteristic, complemented
16C61×#2694C211yesmaximal, characteristic, complemented
17C61×#2691C211yesmaximal, characteristic, complemented
18C61×#2681C211yesmaximal, characteristic, complemented
19C61×#2626C211yesmaximal, characteristic, complemented
20C61×#2622C211yesmaximal, characteristic, complemented
21C61×#2480C211yesmaximal, characteristic, complemented
22C61×#2473C211yesmaximal, characteristic, complemented
23C61×#2449C211yesmaximal, characteristic, complemented
24C61×#2437C211yesmaximal, characteristic, complemented
25C61×#2418C211yesmaximal, characteristic, complemented
26C61×#2412C211yesmaximal, characteristic, complemented
27C61×#2410C211yesmaximal, characteristic
28C61×#2405C211yesmaximal, characteristic, complemented
29C61×#2321C211yesmaximal, characteristic, complemented
30C61×#2315C211yesmaximal, characteristic, complemented
31C2×C61×#390C211yesmaximal, characteristic, complemented
32C23×D4×C61C2211yescharacteristic
33C2×#126×C61C2211yescharacteristic, complemented
34C2×#126×C61C2211yescharacteristic, complemented
35C2×#125×C61C2211yescharacteristic, complemented
36C2×#125×C61C2211yescharacteristic, complemented
37C2×#123×C61C2211yescharacteristic
38C2×#123×C61C2211yescharacteristic
39C2×#123×C61C2211yescharacteristic, complemented
40C2×#123×C61C2211yescharacteristic, complemented
41C2×C22⋊Q8×C61C2211yescharacteristic
42C2×C22⋊Q8×C61C2211yescharacteristic, complemented
43C2×C22⋊Q8×C61C2211yescharacteristic, complemented
44C2×#121×C61C2211yescharacteristic
45C2×#121×C61C2211yescharacteristic
46C2×#120×C61C2211yescharacteristic
47C2×#120×C61C2211yescharacteristic
48C2×C4×D4×C61C2211yescharacteristic
49C22×C4⋊C4×C61C2211yescharacteristic
50C22×C22⋊C4×C61C2211yescharacteristic
51C22×C22⋊C4×C61C2211yescharacteristic
52C22×C22⋊C4×C61C2211yescharacteristic
53C22×C22⋊C4×C61C2211yescharacteristic
54C22×C22⋊C4×C61C2211yescharacteristic
55C22×C22⋊C4×C61C2211yescharacteristic
56C22×C42×C61C2211yescharacteristic
57C61×#400C2211yescharacteristic, complemented
58C61×#399C2211yescharacteristic, complemented
59C61×#399C2211yescharacteristic, complemented
60C61×#399C2211yescharacteristic, complemented
61C61×#399C2211yescharacteristic, complemented
62C61×#399C2211yescharacteristic, complemented
63C61×#398C2211yescharacteristic, complemented
64C61×#398C2211yescharacteristic, complemented
65C61×#398C2211yescharacteristic, complemented
66C61×#398C2211yescharacteristic, complemented
67C61×#397C2211yescharacteristic, complemented
68C61×#397C2211yescharacteristic, complemented
69C61×#397C2211yescharacteristic, complemented
70C61×#397C2211yescharacteristic, complemented
71C61×#397C2211yescharacteristic, complemented
72C61×#397C2211yescharacteristic, complemented
73C61×#397C2211yescharacteristic, complemented
74C61×#397C2211yescharacteristic, complemented
75C61×#397C2211yescharacteristic, complemented
76C61×#397C2211yescharacteristic, complemented
77C61×#396C2211yescharacteristic, complemented
78C61×#396C2211yescharacteristic, complemented
79C61×#396C2211yescharacteristic, complemented
80C61×#396C2211yescharacteristic, complemented
81C61×#396C2211yescharacteristic, complemented
82C61×#396C2211yescharacteristic, complemented
83C61×#396C2211yescharacteristic, complemented
84C61×#396C2211yescharacteristic, complemented
85C61×#395C2211yescharacteristic, complemented
86C61×#394C2211yescharacteristic
87C61×#394C2211yescharacteristic
88C61×#394C2211yescharacteristic
89C61×#394C2211yescharacteristic
90C61×#394C2211yescharacteristic
91C61×#394C2211yescharacteristic
92C61×#394C2211yescharacteristic, complemented
93C61×#394C2211yescharacteristic, complemented
94C61×#394C2211yescharacteristic, complemented
95C61×#394C2211yescharacteristic, complemented
96C61×#394C2211yescharacteristic, complemented
97C61×#394C2211yescharacteristic, complemented
98C61×#394C2211yescharacteristic, complemented
99C61×#394C2211yescharacteristic, complemented
100C61×#393C2211yescharacteristic, complemented
101C61×#393C2211yescharacteristic, complemented
102C61×#393C2211yescharacteristic, complemented
103C61×#392C2211yescharacteristic
104C61×#392C2211yescharacteristic
105C61×#390C2211yescharacteristic
106C61×#390C2211yescharacteristic
107C61×#390C2211yescharacteristic
108C61×#390C2211yescharacteristic
109C61×#390C2211yescharacteristic
110C61×#390C2211yescharacteristic
111C61×#390C2211yescharacteristic
112C61×#390C2211yescharacteristic
113C61×#390C2211yescharacteristic, complemented
114C61×#390C2211yescharacteristic, complemented
115C61×#389C2211yescharacteristic, complemented
116C61×#389C2211yescharacteristic, complemented
117C61×#389C2211yescharacteristic, complemented
118C61×#389C2211yescharacteristic, complemented
119C61×#388C2211yescharacteristic, complemented
120C61×#388C2211yescharacteristic, complemented
121C61×#388C2211yescharacteristic, complemented
122C61×#388C2211yescharacteristic, complemented
123C61×#388C2211yescharacteristic, complemented
124C61×#388C2211yescharacteristic, complemented
125C61×#388C2211yescharacteristic, complemented
126C61×#388C2211yescharacteristic, complemented
127C61×#388C2211yescharacteristic, complemented
128C61×#388C2211yescharacteristic, complemented
129C61×#388C2211yescharacteristic, complemented
130C61×#388C2211yescharacteristic, complemented
131C61×#387C2211yescharacteristic, complemented
132C61×#387C2211yescharacteristic, complemented
133C61×#387C2211yescharacteristic, complemented
134C61×#387C2211yescharacteristic, complemented
135C61×#387C2211yescharacteristic, complemented
136C61×#387C2211yescharacteristic, complemented
137C61×#387C2211yescharacteristic, complemented
138C61×#387C2211yescharacteristic, complemented
139C61×#387C2211yescharacteristic, complemented
140C61×#387C2211yescharacteristic, complemented
141C61×#386C2211yescharacteristic
142C61×#386C2211yescharacteristic
143C61×#386C2211yescharacteristic
144C61×#386C2211yescharacteristic
145C61×#386C2211yescharacteristic
146C61×#386C2211yescharacteristic
147C61×#386C2211yescharacteristic
148C61×#386C2211yescharacteristic
149C61×#386C2211yescharacteristic, complemented
150C61×#386C2211yescharacteristic, complemented
151C61×#386C2211yescharacteristic, complemented
152C61×#386C2211yescharacteristic, complemented
153C61×#385C2211yescharacteristic
154C61×#385C2211yescharacteristic
155C61×#385C2211yescharacteristic
156C61×#385C2211yescharacteristic
157C61×#385C2211yescharacteristic
158C61×#385C2211yescharacteristic
159C61×#385C2211yescharacteristic
160C61×#385C2211yescharacteristic
161C61×#385C2211yescharacteristic
162C61×#385C2211yescharacteristic
163C61×#385C2211yescharacteristic, complemented
164C61×#385C2211yescharacteristic, complemented
165C61×#385C2211yescharacteristic, complemented
166C61×#385C2211yescharacteristic, complemented
167C61×#385C2211yescharacteristic, complemented
168C61×#385C2211yescharacteristic, complemented
169C61×#385C2211yescharacteristic, complemented
170C61×#385C2211yescharacteristic, complemented
171C61×#383C2211yescharacteristic, complemented
172C61×#382C2211yescharacteristic, complemented
173C61×#381C2211yescharacteristic, complemented
174C61×#380C2211yescharacteristic
175C61×#380C2211yescharacteristic
176C61×#380C2211yescharacteristic
177C61×#380C2211yescharacteristic, complemented
178C61×#380C2211yescharacteristic, complemented
179C61×#380C2211yescharacteristic, complemented
180C61×#380C2211yescharacteristic, complemented
181C61×#380C2211yescharacteristic, complemented
182C61×#379C2211yescharacteristic
183C61×#379C2211yescharacteristic
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
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×C61C2311yescharacteristic
203C23×C4×C61C2311yescharacteristic
204C23×C4×C61C2311yescharacteristic
205C23×C4×C61C2311yescharacteristic
206C23×C4×C61C2311yescharacteristic
207C23×C4×C61C2311yescharacteristic
208C23×C4×C61C2311yescharacteristic
209C23×C4×C61C2311yescharacteristic
210C23×C4×C61C2311yescharacteristic
211C23×C4×C61C2311yescharacteristic
212#126×C61—42no—
213#126×C61—42no—
214#125×C61—42no—
215#125×C61—42no—
216#123×C61—42no—
217#123×C61—42no—
218#123×C61—42no—
219#123×C61—42no—
220C22⋊Q8×C61—42no—
221C22⋊Q8×C61—42no—
222C22⋊Q8×C61—42no—
223#121×C61—42no—
224#121×C61—42no—
225#120×C61—24no—
226#120×C61—42no—
227C4×D4×C61—42no—
228C2×C4⋊C4×C61—42no—
229C2×C4⋊C4×C61C2311yescharacteristic
230C2×C4⋊C4×C61C2311yescharacteristic
231C2×C4⋊C4×C61C2311yescharacteristic
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×C4⋊C4×C61C2311yescharacteristic
259C2×C4⋊C4×C61C2311yescharacteristic
260C2×C4⋊C4×C61C2311yescharacteristic
261C2×C4⋊C4×C61C2311yescharacteristic
262C2×C4⋊C4×C61C2311yescharacteristic
263C2×C22⋊C4×C61—24no—
264C2×C22⋊C4×C61—42no—
265C2×C22⋊C4×C61—42no—
266C2×C22⋊C4×C61—42no—
267C2×C22⋊C4×C61—42no—
268C2×C22⋊C4×C61—42no—
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×C22⋊C4×C61C2311yescharacteristic
313C2×C22⋊C4×C61C2311yescharacteristic
314C2×C22⋊C4×C61C2311yescharacteristic
315C2×C22⋊C4×C61C2311yescharacteristic
316C2×C22⋊C4×C61C2311yescharacteristic
317C2×C22⋊C4×C61C2311yescharacteristic
318C2×C22⋊C4×C61C2311yescharacteristic
319C2×C22⋊C4×C61C2311yescharacteristic
320C2×C22⋊C4×C61C2311yescharacteristic
321C2×C22⋊C4×C61C2311yescharacteristic
322C2×C22⋊C4×C61C2311yescharacteristic
323C2×C22⋊C4×C61C2311yescharacteristic
324C2×C22⋊C4×C61C2311yescharacteristic
325C2×C42×C61—42no—
326C2×C42×C61C2311yescharacteristic
327C2×C42×C61C2311yescharacteristic
328C2×C42×C61C2311yescharacteristic
329C2×C42×C61C2311yescharacteristic
330C2×C42×C61C2311yescharacteristic
331C2×C42×C61C2311yescharacteristic
332C2×C42×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—41no—
375C24×C61—41no—
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—41no—
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—41no—
406C2×D4×C61—41no—
407C2×D4×C61—41no—
408C2×D4×C61—41no—
409C2×D4×C61—416no—
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—41no—
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—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×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61—41no—
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×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
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2411yescharacteristic
475C4⋊C4×C61—22no—
476C4⋊C4×C61—22no—
477C4⋊C4×C61—22no—
478C4⋊C4×C61—22no—
479C4⋊C4×C61—22no—
480C4⋊C4×C61—22no—
481C4⋊C4×C61—22no—
482C4⋊C4×C61—22no—
483C4⋊C4×C61—22no—
484C4⋊C4×C61—22no—
485C4⋊C4×C61—22no—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C4⋊C4×C61—41no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
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—
509C22⋊C4×C61—22no—
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—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61—41no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
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—41no—
562C22⋊C4×C61—41no—
563C22⋊C4×C61—41no—
564C22⋊C4×C61—41no—
565C42×C61—22no—
566C42×C61—22no—
567C42×C61—41no—
568C42×C61—41no—
569C42×C61—41no—
570C42×C61—41no—
571C42×C61—41no—
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—28no—
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—82no—
616C23×C61—82no—
617C23×C61—82no—
618C23×C61—82no—
619C23×C61—82no—
620C23×C61—82no—
621C23×C61—82no—
622C23×C61—82no—
623C23×C61C2×#4112yes—
624C23×C61C2×#4112yes—
625C23×C61C2×#4112yes—
626C23×C61H(5,𝔽2)12yes—
627C23×C612−1+412yes—
628C23×C61C2511yescharacteristic
629Q8×C61—82no—
630D4×C61—44no—
631D4×C61—44no—
632D4×C61—44no—
633D4×C61—44no—
634D4×C61—44no—
635D4×C61—82no—
636D4×C61—82no—
637D4×C61—82no—
638D4×C61—82no—
639C2×C4×C61—28no—
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—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—21no—
712C2×C4×C61—44no—
713C2×C4×C61—44no—
714C2×C4×C61—82no—
715C2×C4×C61—82no—
716C2×C4×C61—82no—
717C2×C4×C61—82no—
718C2×C4×C61—82no—
719C2×C4×C61—82no—
720C2×C4×C61—82no—
721C2×C4×C61H(5,𝔽2)12yes—
722C2×C4×C61H(5,𝔽2)12yes—
723C2×C4×C61H(5,𝔽2)12yes—
724#36807C6111yesmaximal, characteristic, direct product factor, Sylow
725C22×C61—22no—
726C22×C61—22no—
727C22×C61—22no—
728C22×C61—22no—
729C22×C61—22no—
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
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—88no—
767C22×C61—88no—
768C22×C61#53914yes—
769C22×C61C22×#4111yescharacteristic
770C22×C61C2×H(5,𝔽2)11yescharacteristic
771C22×C61C2×H(5,𝔽2)11yescharacteristic
772C22×C61C2×H(5,𝔽2)11yescharacteristic
773C22×C61C2×H(5,𝔽2)11yescharacteristic
774C22×C61C2×2−1+411yescharacteristic
775C22×C61#58511yescharacteristic
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—22no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
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—
801#2852C2×C6111yescharacteristic, complemented
802#2851C2×C6111yescharacteristic, complemented
803#2796C2×C6111yescharacteristic, complemented
804#2786C2×C6111yescharacteristic, complemented
805#2757C2×C6111yescharacteristic, complemented
806#2740C2×C6111yescharacteristic, complemented
807#2737C2×C6111yescharacteristic, complemented
808#2723C2×C6111yescharacteristic, complemented
809#2711C2×C6111yescharacteristic, complemented
810#2711C2×C6111yescharacteristic, complemented
811#2707C2×C6111yescharacteristic, complemented
812#2706C2×C6111yescharacteristic, complemented
813#2705C2×C6111yescharacteristic, complemented
814#2705C2×C6111yescharacteristic, complemented
815#2696C2×C6111yescharacteristic, complemented
816#2694C2×C6111yescharacteristic, complemented
817#2691C2×C6111yescharacteristic, complemented
818#2681C2×C6111yescharacteristic, complemented
819#2626C2×C6111yescharacteristic, complemented
820#2622C2×C6111yescharacteristic, complemented
821#2480C2×C6111yescharacteristic, complemented
822#2473C2×C6111yescharacteristic, complemented
823#2449C2×C6111yescharacteristic, complemented
824#2437C2×C6111yescharacteristic, complemented
825#2418C2×C6111yescharacteristic, complemented
826#2412C2×C6111yescharacteristic, complemented
827#2410C2×C6111yescharacteristic
828#2405C2×C6111yescharacteristic, complemented
829#2321C2×C6111yescharacteristic, complemented
830#2315C2×C6111yescharacteristic, complemented
831C2×#390C2×C6111yescharacteristic, complemented
832C2×C61—24no—
833C2×C61—42no—
834C2×C61—42no—
835C2×C61—81no—
836C2×C61—81no—
837C2×C61—81no—
838C2×C61C2×#53911yescharacteristic
839C2×C61#349011yescharacteristic
840C2×C61#350511yescharacteristic
841C2×C61#353611yescharacteristic
842C2×C61#354211yescharacteristic
843C2×C61#354311yescharacteristic
844C2×C61#356111yescharacteristic
845C23×D4C22×C6111yescharacteristic
846C2×#126C22×C6111yescharacteristic, complemented
847C2×#126C22×C6111yescharacteristic, complemented
848C2×#125C22×C6111yescharacteristic, complemented
849C2×#125C22×C6111yescharacteristic, complemented
850C2×#123C22×C6111yescharacteristic
851C2×#123C22×C6111yescharacteristic
852C2×#123C22×C6111yescharacteristic, complemented
853C2×#123C22×C6111yescharacteristic, complemented
854C2×C22⋊Q8C22×C6111yescharacteristic
855C2×C22⋊Q8C22×C6111yescharacteristic, complemented
856C2×C22⋊Q8C22×C6111yescharacteristic, complemented
857C2×#121C22×C6111yescharacteristic
858C2×#121C22×C6111yescharacteristic
859C2×#120C22×C6111yescharacteristic
860C2×#120C22×C6111yescharacteristic
861C2×C4×D4C22×C6111yescharacteristic
862C22×C4⋊C4C22×C6111yescharacteristic
863C22×C22⋊C4C22×C6111yescharacteristic
864C22×C22⋊C4C22×C6111yescharacteristic
865C22×C22⋊C4C22×C6111yescharacteristic
866C22×C22⋊C4C22×C6111yescharacteristic
867C22×C22⋊C4C22×C6111yescharacteristic
868C22×C22⋊C4C22×C6111yescharacteristic
869C22×C42C22×C6111yescharacteristic
870#400C22×C6111yescharacteristic, complemented
871#399C22×C6111yescharacteristic, complemented
872#399C22×C6111yescharacteristic, complemented
873#399C22×C6111yescharacteristic, complemented
874#399C22×C6111yescharacteristic, complemented
875#399C22×C6111yescharacteristic, complemented
876#398C22×C6111yescharacteristic, complemented
877#398C22×C6111yescharacteristic, complemented
878#398C22×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#397C22×C6111yescharacteristic, complemented
889#397C22×C6111yescharacteristic, complemented
890#396C22×C6111yescharacteristic, complemented
891#396C22×C6111yescharacteristic, complemented
892#396C22×C6111yescharacteristic, complemented
893#396C22×C6111yescharacteristic, complemented
894#396C22×C6111yescharacteristic, complemented
895#396C22×C6111yescharacteristic, complemented
896#396C22×C6111yescharacteristic, complemented
897#396C22×C6111yescharacteristic, complemented
898#395C22×C6111yescharacteristic, complemented
899#394C22×C6111yescharacteristic
900#394C22×C6111yescharacteristic
901#394C22×C6111yescharacteristic
902#394C22×C6111yescharacteristic
903#394C22×C6111yescharacteristic
904#394C22×C6111yescharacteristic
905#394C22×C6111yescharacteristic, complemented
906#394C22×C6111yescharacteristic, complemented
907#394C22×C6111yescharacteristic, complemented
908#394C22×C6111yescharacteristic, complemented
909#394C22×C6111yescharacteristic, complemented
910#394C22×C6111yescharacteristic, complemented
911#394C22×C6111yescharacteristic, complemented
912#394C22×C6111yescharacteristic, complemented
913#393C22×C6111yescharacteristic, complemented
914#393C22×C6111yescharacteristic, complemented
915#393C22×C6111yescharacteristic, complemented
916#392C22×C6111yescharacteristic
917#392C22×C6111yescharacteristic
918#390C22×C6111yescharacteristic
919#390C22×C6111yescharacteristic
920#390C22×C6111yescharacteristic
921#390C22×C6111yescharacteristic
922#390C22×C6111yescharacteristic
923#390C22×C6111yescharacteristic
924#390C22×C6111yescharacteristic
925#390C22×C6111yescharacteristic
926#390C22×C6111yescharacteristic, complemented
927#390C22×C6111yescharacteristic, complemented
928#389C22×C6111yescharacteristic, complemented
929#389C22×C6111yescharacteristic, complemented
930#389C22×C6111yescharacteristic, complemented
931#389C22×C6111yescharacteristic, complemented
932#388C22×C6111yescharacteristic, complemented
933#388C22×C6111yescharacteristic, complemented
934#388C22×C6111yescharacteristic, complemented
935#388C22×C6111yescharacteristic, complemented
936#388C22×C6111yescharacteristic, complemented
937#388C22×C6111yescharacteristic, complemented
938#388C22×C6111yescharacteristic, complemented
939#388C22×C6111yescharacteristic, complemented
940#388C22×C6111yescharacteristic, complemented
941#388C22×C6111yescharacteristic, complemented
942#388C22×C6111yescharacteristic, complemented
943#388C22×C6111yescharacteristic, complemented
944#387C22×C6111yescharacteristic, complemented
945#387C22×C6111yescharacteristic, complemented
946#387C22×C6111yescharacteristic, complemented
947#387C22×C6111yescharacteristic, complemented
948#387C22×C6111yescharacteristic, complemented
949#387C22×C6111yescharacteristic, complemented
950#387C22×C6111yescharacteristic, complemented
951#387C22×C6111yescharacteristic, complemented
952#387C22×C6111yescharacteristic, complemented
953#387C22×C6111yescharacteristic, complemented
954#386C22×C6111yescharacteristic
955#386C22×C6111yescharacteristic
956#386C22×C6111yescharacteristic
957#386C22×C6111yescharacteristic
958#386C22×C6111yescharacteristic
959#386C22×C6111yescharacteristic
960#386C22×C6111yescharacteristic
961#386C22×C6111yescharacteristic
962#386C22×C6111yescharacteristic, complemented
963#386C22×C6111yescharacteristic, complemented
964#386C22×C6111yescharacteristic, complemented
965#386C22×C6111yescharacteristic, complemented
966#385C22×C6111yescharacteristic
967#385C22×C6111yescharacteristic
968#385C22×C6111yescharacteristic
969#385C22×C6111yescharacteristic
970#385C22×C6111yescharacteristic
971#385C22×C6111yescharacteristic
972#385C22×C6111yescharacteristic
973#385C22×C6111yescharacteristic
974#385C22×C6111yescharacteristic
975#385C22×C6111yescharacteristic
976#385C22×C6111yescharacteristic, complemented
977#385C22×C6111yescharacteristic, complemented
978#385C22×C6111yescharacteristic, complemented
979#385C22×C6111yescharacteristic, complemented
980#385C22×C6111yescharacteristic, complemented
981#385C22×C6111yescharacteristic, complemented
982#385C22×C6111yescharacteristic, complemented
983#385C22×C6111yescharacteristic, complemented
984#383C22×C6111yescharacteristic, complemented
985#382C22×C6111yescharacteristic, complemented
986#381C22×C6111yescharacteristic, complemented
987#380C22×C6111yescharacteristic
988#380C22×C6111yescharacteristic
989#380C22×C6111yescharacteristic
990#380C22×C6111yescharacteristic, complemented
991#380C22×C6111yescharacteristic, complemented
992#380C22×C6111yescharacteristic, complemented
993#380C22×C6111yescharacteristic, complemented
994#380C22×C6111yescharacteristic, complemented
995#379C22×C6111yescharacteristic
996#379C22×C6111yescharacteristic
997#379C22×C6111yescharacteristic
998#379C22×C6111yescharacteristic
999C4×C22⋊C4C22×C6111yescharacteristic
1000C61#3680711yescharacteristic, direct product factor, Sylow
1001C25C23×C6111yescharacteristic
1002C25C23×C6111yescharacteristic
1003C22×Q8C23×C6111yescharacteristic
1004C22×D4—24no—
1005C22×D4—42no—
1006C22×D4—42no—
1007C22×D4C23×C6111yescharacteristic
1008C22×D4C23×C6111yescharacteristic
1009C22×D4C23×C6111yescharacteristic
1010C22×D4C23×C6111yescharacteristic
1011C22×D4C23×C6111yescharacteristic
1012C22×D4C23×C6111yescharacteristic
1013C22×D4C23×C6111yescharacteristic
1014C22×D4C23×C6111yescharacteristic
1015C22×D4C23×C6111yescharacteristic
1016C23×C4C23×C6111yescharacteristic
1017C23×C4C23×C6111yescharacteristic
1018C23×C4C23×C6111yescharacteristic
1019C23×C4C23×C6111yescharacteristic
1020C23×C4C23×C6111yescharacteristic
1021C23×C4C23×C6111yescharacteristic
1022C23×C4C23×C6111yescharacteristic
1023C23×C4C23×C6111yescharacteristic
1024C23×C4C23×C6111yescharacteristic
1025C23×C4C23×C6111yescharacteristic
1026#126—42no—
1027#126—42no—
1028#125—42no—
1029#125—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033#123—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036C22⋊Q8—42no—
1037#121—42no—
1038#121—42no—
1039#120—24no—
1040#120—42no—
1041C4×D4—42no—
1042C2×C4⋊C4—42no—
1043C2×C4⋊C4C23×C6111yescharacteristic
1044C2×C4⋊C4C23×C6111yescharacteristic
1045C2×C4⋊C4C23×C6111yescharacteristic
1046C2×C4⋊C4C23×C6111yescharacteristic
1047C2×C4⋊C4C23×C6111yescharacteristic
1048C2×C4⋊C4C23×C6111yescharacteristic
1049C2×C4⋊C4C23×C6111yescharacteristic
1050C2×C4⋊C4C23×C6111yescharacteristic
1051C2×C4⋊C4C23×C6111yescharacteristic
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×C4⋊C4C23×C6111yescharacteristic
1075C2×C4⋊C4C23×C6111yescharacteristic
1076C2×C4⋊C4C23×C6111yescharacteristic
1077C2×C22⋊C4—24no—
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—42no—
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×C22⋊C4C23×C6111yescharacteristic
1132C2×C22⋊C4C23×C6111yescharacteristic
1133C2×C22⋊C4C23×C6111yescharacteristic
1134C2×C22⋊C4C23×C6111yescharacteristic
1135C2×C22⋊C4C23×C6111yescharacteristic
1136C2×C22⋊C4C23×C6111yescharacteristic
1137C2×C22⋊C4C23×C6111yescharacteristic
1138C2×C22⋊C4C23×C6111yescharacteristic
1139C2×C42—42no—
1140C2×C42C23×C6111yescharacteristic
1141C2×C42C23×C6111yescharacteristic
1142C2×C42C23×C6111yescharacteristic
1143C2×C42C23×C6111yescharacteristic
1144C2×C42C23×C6111yescharacteristic
1145C2×C42C23×C6111yescharacteristic
1146C2×C42C23×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
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24#41×C6114yes—
1197C24C24×C6111yescharacteristic
1198C24C24×C6111yescharacteristic
1199C24C24×C6111yescharacteristic
1200C24C24×C6111yescharacteristic
1201C24C24×C6111yescharacteristic
1202C24C24×C6111yescharacteristic
1203C2×Q8—41no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
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—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4C24×C6111yescharacteristic
1265C22×C4C24×C6111yescharacteristic
1266C22×C4C24×C6111yescharacteristic
1267C22×C4C24×C6111yescharacteristic
1268C22×C4C24×C6111yescharacteristic
1269C22×C4C24×C6111yescharacteristic
1270C22×C4C24×C6111yescharacteristic
1271C22×C4C24×C6111yescharacteristic
1272C22×C4C24×C6111yescharacteristic
1273C22×C4C24×C6111yescharacteristic
1274C22×C4C24×C6111yescharacteristic
1275C22×C4C24×C6111yescharacteristic
1276C22×C4C24×C6111yescharacteristic
1277C22×C4C24×C6111yescharacteristic
1278C22×C4C24×C6111yescharacteristic
1279C22×C4C24×C6111yescharacteristic
1280C22×C4C24×C6111yescharacteristic
1281C22×C4C24×C6111yescharacteristic
1282C22×C4C24×C6111yescharacteristic
1283C22×C4C24×C6111yescharacteristic
1284C22×C4C24×C6111yescharacteristic
1285C22×C4C24×C6111yescharacteristic
1286C22×C4C24×C6111yescharacteristic
1287C22×C4C24×C6111yescharacteristic
1288C22×C4C24×C6111yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
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—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
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—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
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—
1379C42—22no—
1380C42—22no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
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—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23C2×#41×C6112yes—
1438C23C2×#41×C6112yes—
1439C23C2×#41×C6112yes—
1440C23H(5,𝔽2)×C6112yes—
1441C232−1+4×C6112yes—
1442C23C25×C6111yescharacteristic
1443Q8—82no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—28no—
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—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—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—82no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4H(5,𝔽2)×C6112yes—
1536C2×C4H(5,𝔽2)×C6112yes—
1537C2×C4H(5,𝔽2)×C6112yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
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—88no—
1580C22—88no—
1581C22C61×#53914yes—
1582C22C22×#41×C6111yescharacteristic
1583C22C2×H(5,𝔽2)×C6111yescharacteristic
1584C22C2×H(5,𝔽2)×C6111yescharacteristic
1585C22C2×H(5,𝔽2)×C6111yescharacteristic
1586C22C2×H(5,𝔽2)×C6111yescharacteristic
1587C22C2×2−1+4×C6111yescharacteristic
1588C22C61×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×C61×#53911yescharacteristic
1621C2C61×#349011yescharacteristic
1622C2C61×#350511yescharacteristic
1623C2C61×#353611yescharacteristic
1624C2C61×#354211yescharacteristic
1625C2C61×#354311yescharacteristic
1626C2C61×#356111yescharacteristic
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×#2852C2semidirect
2. C61×#2851C2semidirect
3. C61×#2796C2semidirect
4. C61×#2786C2semidirect
5. C61×#2757C2semidirect
6. C61×#2740C2semidirect
7. C61×#2737C2semidirect
8. C61×#2723C2semidirect
9. C61×#2711C2semidirect
10. C61×#2711C2semidirect
11. C61×#2707C2semidirect
12. C61×#2706C2semidirect
13. C61×#2705C2semidirect
14. C61×#2705C2semidirect
15. C61×#2696C2semidirect
16. C61×#2694C2semidirect
17. C61×#2691C2semidirect
18. C61×#2681C2semidirect
19. C61×#2626C2semidirect
20. C61×#2622C2semidirect
21. C61×#2480C2semidirect
22. C61×#2473C2semidirect
23. C61×#2449C2semidirect
24. C61×#2437C2semidirect
25. C61×#2418C2semidirect
26. C61×#2412C2semidirect
28. C61×#2405C2semidirect
29. C61×#2321C2semidirect
30. C61×#2315C2semidirect
31. C2×C61×#390C2semidirect
33. C2×#126×C61C22semidirect
34. C2×#126×C61C22semidirect
35. C2×#125×C61C22semidirect
36. C2×#125×C61C22semidirect
39. C2×#123×C61C22semidirect
40. C2×#123×C61C22semidirect
42. C2×C22⋊Q8×C61C22semidirect
43. C2×C22⋊Q8×C61C22semidirect
57. C61×#400C22semidirect
58. C61×#399C22semidirect
59. C61×#399C22semidirect
60. C61×#399C22semidirect
61. C61×#399C22semidirect
62. C61×#399C22semidirect
63. C61×#398C22semidirect
64. C61×#398C22semidirect
65. C61×#398C22semidirect
66. C61×#398C22semidirect
67. C61×#397C22semidirect
68. C61×#397C22semidirect
69. C61×#397C22semidirect
70. C61×#397C22semidirect
71. C61×#397C22semidirect
72. C61×#397C22semidirect
73. C61×#397C22semidirect
74. C61×#397C22semidirect
75. C61×#397C22semidirect
76. C61×#397C22semidirect
77. C61×#396C22semidirect
78. C61×#396C22semidirect
79. C61×#396C22semidirect
80. C61×#396C22semidirect
81. C61×#396C22semidirect
82. C61×#396C22semidirect
83. C61×#396C22semidirect
84. C61×#396C22semidirect
85. C61×#395C22semidirect
92. C61×#394C22semidirect
93. C61×#394C22semidirect
94. C61×#394C22semidirect
95. C61×#394C22semidirect
96. C61×#394C22semidirect
97. C61×#394C22semidirect
98. C61×#394C22semidirect
99. C61×#394C22semidirect
100. C61×#393C22semidirect
101. C61×#393C22semidirect
102. C61×#393C22semidirect
113. C61×#390C22semidirect
114. C61×#390C22semidirect
115. C61×#389C22semidirect
116. C61×#389C22semidirect
117. C61×#389C22semidirect
118. C61×#389C22semidirect
119. C61×#388C22semidirect
120. C61×#388C22semidirect
121. C61×#388C22semidirect
122. C61×#388C22semidirect
123. C61×#388C22semidirect
124. C61×#388C22semidirect
125. C61×#388C22semidirect
126. C61×#388C22semidirect
127. C61×#388C22semidirect
128. C61×#388C22semidirect
129. C61×#388C22semidirect
130. C61×#388C22semidirect
131. C61×#387C22semidirect
132. C61×#387C22semidirect
133. C61×#387C22semidirect
134. C61×#387C22semidirect
135. C61×#387C22semidirect
136. C61×#387C22semidirect
137. C61×#387C22semidirect
138. C61×#387C22semidirect
139. C61×#387C22semidirect
140. C61×#387C22semidirect
149. C61×#386C22semidirect
150. C61×#386C22semidirect
151. C61×#386C22semidirect
152. C61×#386C22semidirect
163. C61×#385C22semidirect
164. C61×#385C22semidirect
165. C61×#385C22semidirect
166. C61×#385C22semidirect
167. C61×#385C22semidirect
168. C61×#385C22semidirect
169. C61×#385C22semidirect
170. C61×#385C22semidirect
171. C61×#383C22semidirect
172. C61×#382C22semidirect
173. C61×#381C22semidirect
177. C61×#380C22semidirect
178. C61×#380C22semidirect
179. C61×#380C22semidirect
180. C61×#380C22semidirect
181. C61×#380C22semidirect
724. #36807C61direct (N × H)
801. #2852C2×C61semidirect
802. #2851C2×C61semidirect
803. #2796C2×C61semidirect
804. #2786C2×C61semidirect
805. #2757C2×C61semidirect
806. #2740C2×C61semidirect
807. #2737C2×C61semidirect
808. #2723C2×C61semidirect
809. #2711C2×C61semidirect
810. #2711C2×C61semidirect
811. #2707C2×C61semidirect
812. #2706C2×C61semidirect
813. #2705C2×C61semidirect
814. #2705C2×C61semidirect
815. #2696C2×C61semidirect
816. #2694C2×C61semidirect
817. #2691C2×C61semidirect
818. #2681C2×C61semidirect
819. #2626C2×C61semidirect
820. #2622C2×C61semidirect
821. #2480C2×C61semidirect
822. #2473C2×C61semidirect
823. #2449C2×C61semidirect
824. #2437C2×C61semidirect
825. #2418C2×C61semidirect
826. #2412C2×C61semidirect
828. #2405C2×C61semidirect
829. #2321C2×C61semidirect
830. #2315C2×C61semidirect
831. C2×#390C2×C61semidirect
846. C2×#126C22×C61semidirect
847. C2×#126C22×C61semidirect
848. C2×#125C22×C61semidirect
849. C2×#125C22×C61semidirect
852. C2×#123C22×C61semidirect
853. C2×#123C22×C61semidirect
855. C2×C22⋊Q8C22×C61semidirect
856. C2×C22⋊Q8C22×C61semidirect
870. #400C22×C61semidirect
871. #399C22×C61semidirect
872. #399C22×C61semidirect
873. #399C22×C61semidirect
874. #399C22×C61semidirect
875. #399C22×C61semidirect
876. #398C22×C61semidirect
877. #398C22×C61semidirect
878. #398C22×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. #397C22×C61semidirect
889. #397C22×C61semidirect
890. #396C22×C61semidirect
891. #396C22×C61semidirect
892. #396C22×C61semidirect
893. #396C22×C61semidirect
894. #396C22×C61semidirect
895. #396C22×C61semidirect
896. #396C22×C61semidirect
897. #396C22×C61semidirect
898. #395C22×C61semidirect
905. #394C22×C61semidirect
906. #394C22×C61semidirect
907. #394C22×C61semidirect
908. #394C22×C61semidirect
909. #394C22×C61semidirect
910. #394C22×C61semidirect
911. #394C22×C61semidirect
912. #394C22×C61semidirect
913. #393C22×C61semidirect
914. #393C22×C61semidirect
915. #393C22×C61semidirect
926. #390C22×C61semidirect
927. #390C22×C61semidirect
928. #389C22×C61semidirect
929. #389C22×C61semidirect
930. #389C22×C61semidirect
931. #389C22×C61semidirect
932. #388C22×C61semidirect
933. #388C22×C61semidirect
934. #388C22×C61semidirect
935. #388C22×C61semidirect
936. #388C22×C61semidirect
937. #388C22×C61semidirect
938. #388C22×C61semidirect
939. #388C22×C61semidirect
940. #388C22×C61semidirect
941. #388C22×C61semidirect
942. #388C22×C61semidirect
943. #388C22×C61semidirect
944. #387C22×C61semidirect
945. #387C22×C61semidirect
946. #387C22×C61semidirect
947. #387C22×C61semidirect
948. #387C22×C61semidirect
949. #387C22×C61semidirect
950. #387C22×C61semidirect
951. #387C22×C61semidirect
952. #387C22×C61semidirect
953. #387C22×C61semidirect
962. #386C22×C61semidirect
963. #386C22×C61semidirect
964. #386C22×C61semidirect
965. #386C22×C61semidirect
976. #385C22×C61semidirect
977. #385C22×C61semidirect
978. #385C22×C61semidirect
979. #385C22×C61semidirect
980. #385C22×C61semidirect
981. #385C22×C61semidirect
982. #385C22×C61semidirect
983. #385C22×C61semidirect
984. #383C22×C61semidirect
985. #382C22×C61semidirect
986. #381C22×C61semidirect
990. #380C22×C61semidirect
991. #380C22×C61semidirect
992. #380C22×C61semidirect
993. #380C22×C61semidirect
994. #380C22×C61semidirect
1000. C61#36807direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#28522
C61×#28512
C61×#27962
C61×#27862
C61×#27572
C61×#27402
C61×#27372
C61×#27232
C61×#27112
C61×#27072
C61×#27062
C61×#27052
C61×#26962
C61×#26942
C61×#26912
C61×#26812
C61×#26262
C61×#26222
C61×#24802
C61×#24732
C61×#24492
C61×#24372
C61×#24182
C61×#24122
C61×#24102
C61×#24052
C61×#23212
C61×#23152
C2×C61×#3902
#3680761