Finite Group Databasebeta

← C61×#36723 #29540156

Subgroups — C61×#36723 #29540156

Order 15616.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#539C211yesmaximal, characteristic, complemented
2C2×C61×#525C211yesmaximal, characteristic, complemented
3C61×#2849C211yesmaximal, characteristic, complemented
4C61×#2848C211yesmaximal, characteristic, complemented
5C61×#2707C211yesmaximal, characteristic, complemented
6C61×#2706C211yesmaximal, characteristic, complemented
7C61×#2704C211yesmaximal, characteristic, complemented
8C61×#2703C211yesmaximal, characteristic, complemented
9C61×#2701C211yesmaximal, characteristic, complemented
10C61×#2698C211yesmaximal, characteristic, complemented
11C61×#2697C211yesmaximal, characteristic, complemented
12C61×#2685C211yesmaximal, characteristic, complemented
13C61×#2683C211yesmaximal, characteristic, complemented
14C61×#2682C211yesmaximal, characteristic, complemented
15C61×#2681C211yesmaximal, characteristic, complemented
16C61×#2681C211yesmaximal, characteristic, complemented
17C61×#2680C211yesmaximal, characteristic, complemented
18C61×#2680C211yesmaximal, characteristic, complemented
19C61×#2678C211yesmaximal, characteristic, complemented
20C61×#2678C211yesmaximal, characteristic, complemented
21C61×#2638C211yesmaximal, characteristic, complemented
22C61×#2630C211yesmaximal, characteristic, complemented
23C61×#2611C211yesmaximal, characteristic, complemented
24C61×#2603C211yesmaximal, characteristic, complemented
25C61×#2601C211yesmaximal, characteristic, complemented
26C61×#2600C211yesmaximal, characteristic, complemented
27C61×#2579C211yesmaximal, characteristic, complemented
28C61×#2566C211yesmaximal, characteristic, complemented
29C61×#2407C211yesmaximal, characteristic, complemented
30C61×#2406C211yesmaximal, characteristic, complemented
31C61×#2319C211yesmaximal, characteristic, complemented
32C22×#41×C61C2211yescharacteristic
33C24×C4×C61C2211yescharacteristic
34C61×#539—28no—
35C2×#126×C61C2211yescharacteristic
36C2×#126×C61C2211yescharacteristic, complemented
37C2×#125×C61C2211yescharacteristic, complemented
38C2×#125×C61C2211yescharacteristic, complemented
39C61×#525—28no—
40C2×#123×C61C2211yescharacteristic
41C2×#123×C61C2211yescharacteristic
42C2×#123×C61C2211yescharacteristic
43C2×#123×C61C2211yescharacteristic
44C2×#123×C61C2211yescharacteristic
45C2×#123×C61C2211yescharacteristic
46C2×#123×C61C2211yescharacteristic
47C2×#123×C61C2211yescharacteristic, complemented
48C2×#123×C61C2211yescharacteristic, complemented
49C2×C22⋊Q8×C61C2211yescharacteristic
50C2×C22⋊Q8×C61C2211yescharacteristic
51C2×C22⋊Q8×C61C2211yescharacteristic
52C2×C22⋊Q8×C61C2211yescharacteristic
53C2×C22⋊Q8×C61C2211yescharacteristic
54C2×C22⋊Q8×C61C2211yescharacteristic, complemented
55C2×C22⋊Q8×C61C2211yescharacteristic, complemented
56C2×C22⋊Q8×C61C2211yescharacteristic, complemented
57C2×#121×C61C2211yescharacteristic
58C2×#121×C61C2211yescharacteristic
59C2×#121×C61C2211yescharacteristic
60C2×#121×C61C2211yescharacteristic
61C2×#120×C61C2211yescharacteristic
62C2×#120×C61C2211yescharacteristic
63C2×#120×C61C2211yescharacteristic
64C2×C4×D4×C61C2211yescharacteristic
65C2×C4×D4×C61C2211yescharacteristic
66C2×C4×D4×C61C2211yescharacteristic
67C2×C4×D4×C61C2211yescharacteristic
68C2×C4×D4×C61C2211yescharacteristic, complemented
69C2×#117×C61C2211yescharacteristic
70C22×C4⋊C4×C61C2211yescharacteristic, complemented
71C61×#400C2211yescharacteristic, complemented
72C61×#399C2211yescharacteristic
73C61×#398C2211yescharacteristic, complemented
74C61×#398C2211yescharacteristic, complemented
75C61×#398C2211yescharacteristic, complemented
76C61×#398C2211yescharacteristic, complemented
77C61×#398C2211yescharacteristic, complemented
78C61×#398C2211yescharacteristic, complemented
79C61×#398C2211yescharacteristic, complemented
80C61×#397C2211yescharacteristic
81C61×#397C2211yescharacteristic
82C61×#397C2211yescharacteristic
83C61×#397C2211yescharacteristic
84C61×#397C2211yescharacteristic, complemented
85C61×#397C2211yescharacteristic, complemented
86C61×#397C2211yescharacteristic, complemented
87C61×#396C2211yescharacteristic
88C61×#396C2211yescharacteristic
89C61×#396C2211yescharacteristic
90C61×#396C2211yescharacteristic
91C61×#396C2211yescharacteristic
92C61×#396C2211yescharacteristic, complemented
93C61×#396C2211yescharacteristic, complemented
94C61×#396C2211yescharacteristic, complemented
95C61×#396C2211yescharacteristic, complemented
96C61×#396C2211yescharacteristic, complemented
97C61×#395C2211yescharacteristic, complemented
98C61×#395C2211yescharacteristic, complemented
99C61×#395C2211yescharacteristic, complemented
100C61×#394C2211yescharacteristic
101C61×#394C2211yescharacteristic
102C61×#394C2211yescharacteristic
103C61×#394C2211yescharacteristic
104C61×#394C2211yescharacteristic
105C61×#394C2211yescharacteristic
106C61×#394C2211yescharacteristic
107C61×#394C2211yescharacteristic
108C61×#394C2211yescharacteristic
109C61×#394C2211yescharacteristic
110C61×#394C2211yescharacteristic, complemented
111C61×#394C2211yescharacteristic, complemented
112C61×#394C2211yescharacteristic, complemented
113C61×#393C2211yescharacteristic, complemented
114C61×#392C2211yescharacteristic
115C61×#392C2211yescharacteristic
116C61×#392C2211yescharacteristic
117C61×#392C2211yescharacteristic
118C61×#392C2211yescharacteristic, complemented
119C61×#391C2211yescharacteristic, complemented
120C61×#390C2211yescharacteristic
121C61×#390C2211yescharacteristic
122C61×#390C2211yescharacteristic
123C61×#390C2211yescharacteristic
124C61×#390C2211yescharacteristic
125C61×#390C2211yescharacteristic
126C61×#390C2211yescharacteristic
127C61×#390C2211yescharacteristic, complemented
128C61×#389C2211yescharacteristic, complemented
129C61×#389C2211yescharacteristic, complemented
130C61×#389C2211yescharacteristic, complemented
131C61×#389C2211yescharacteristic, complemented
132C61×#389C2211yescharacteristic, complemented
133C61×#388C2211yescharacteristic
134C61×#388C2211yescharacteristic
135C61×#388C2211yescharacteristic
136C61×#388C2211yescharacteristic
137C61×#388C2211yescharacteristic
138C61×#388C2211yescharacteristic
139C61×#388C2211yescharacteristic
140C61×#388C2211yescharacteristic, complemented
141C61×#388C2211yescharacteristic, complemented
142C61×#388C2211yescharacteristic, complemented
143C61×#388C2211yescharacteristic, complemented
144C61×#388C2211yescharacteristic, complemented
145C61×#387C2211yescharacteristic, complemented
146C61×#387C2211yescharacteristic, complemented
147C61×#387C2211yescharacteristic, complemented
148C61×#387C2211yescharacteristic, complemented
149C61×#386C2211yescharacteristic
150C61×#386C2211yescharacteristic
151C61×#386C2211yescharacteristic
152C61×#386C2211yescharacteristic
153C61×#386C2211yescharacteristic
154C61×#386C2211yescharacteristic
155C61×#386C2211yescharacteristic
156C61×#386C2211yescharacteristic
157C61×#386C2211yescharacteristic, complemented
158C61×#386C2211yescharacteristic, complemented
159C61×#385C2211yescharacteristic
160C61×#385C2211yescharacteristic
161C61×#385C2211yescharacteristic
162C61×#385C2211yescharacteristic
163C61×#385C2211yescharacteristic
164C61×#385C2211yescharacteristic
165C61×#385C2211yescharacteristic
166C61×#385C2211yescharacteristic
167C61×#385C2211yescharacteristic
168C61×#385C2211yescharacteristic
169C61×#385C2211yescharacteristic, complemented
170C61×#385C2211yescharacteristic, complemented
171C61×#385C2211yescharacteristic, complemented
172C61×#385C2211yescharacteristic, complemented
173C61×#385C2211yescharacteristic, complemented
174C61×#385C2211yescharacteristic, complemented
175C61×#384C2211yescharacteristic, complemented
176C61×#382C2211yescharacteristic, complemented
177C61×#381C2211yescharacteristic
178C61×#381C2211yescharacteristic
179C61×#381C2211yescharacteristic, complemented
180C61×#380C2211yescharacteristic
181C61×#380C2211yescharacteristic
182C61×#380C2211yescharacteristic
183C61×#380C2211yescharacteristic, complemented
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C4×C4⋊C4×C61C2211yescharacteristic, complemented
188C61×#376C2211yescharacteristic, complemented
189C25×C61C2311yescharacteristic
190C2×#41×C61—24no—
191C2×#41×C61—42no—
192C2×#41×C61—42no—
193C22×Q8×C61C2311yescharacteristic
194C22×Q8×C61C2311yescharacteristic
195C22×D4×C61C2311yescharacteristic
196C22×D4×C61C2311yescharacteristic
197C22×D4×C61C2311yescharacteristic
198C22×D4×C61C2311yescharacteristic
199C22×D4×C61C2311yescharacteristic
200C22×D4×C61C2311yescharacteristic
201C22×D4×C61C2311yescharacteristic
202C22×D4×C61C2311yescharacteristic
203C22×D4×C61C2311yescharacteristic
204C22×D4×C61C2311yescharacteristic
205C22×D4×C61C2311yescharacteristic
206C22×D4×C61C2311yescharacteristic
207C23×C4×C61—24no—
208C23×C4×C61—42no—
209C23×C4×C61—42no—
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
219C23×C4×C61C2311yescharacteristic
220C23×C4×C61C2311yescharacteristic
221#126×C61—24no—
222#126×C61—24no—
223#125×C61—24no—
224#125×C61—24no—
225#123×C61—24no—
226#123×C61—24no—
227#123×C61—24no—
228#123×C61—24no—
229#123×C61—24no—
230#123×C61—24no—
231#123×C61—42no—
232#123×C61—42no—
233#123×C61—42no—
234C22⋊Q8×C61—24no—
235C22⋊Q8×C61—24no—
236C22⋊Q8×C61—24no—
237C22⋊Q8×C61—24no—
238C22⋊Q8×C61—24no—
239C22⋊Q8×C61—42no—
240C22⋊Q8×C61—42no—
241C22⋊Q8×C61—42no—
242#121×C61—24no—
243#121×C61—24no—
244#121×C61—24no—
245#121×C61—42no—
246#120×C61—24no—
247#120×C61—24no—
248#120×C61—42no—
249C4×D4×C61—24no—
250C4×D4×C61—24no—
251C4×D4×C61—24no—
252C4×D4×C61—24no—
253C4×D4×C61D418yescomplemented
254#117×C61—24no—
255C2×C4⋊C4×C61—24no—
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×C4⋊C4×C61C2311yescharacteristic
264C2×C4⋊C4×C61C2311yescharacteristic
265C2×C4⋊C4×C61C2311yescharacteristic
266C2×C4⋊C4×C61C2311yescharacteristic
267C2×C4⋊C4×C61C2311yescharacteristic
268C2×C4⋊C4×C61C2311yescharacteristic
269C2×C4⋊C4×C61C2311yescharacteristic
270C2×C4⋊C4×C61C2311yescharacteristic
271C2×C4⋊C4×C61C2311yescharacteristic
272C2×C4⋊C4×C61C2311yescharacteristic
273C2×C4⋊C4×C61C2311yescharacteristic
274C2×C4⋊C4×C61C2311yescharacteristic
275C2×C4⋊C4×C61C2311yescharacteristic
276C2×C4⋊C4×C61C2311yescharacteristic
277C2×C4⋊C4×C61C2311yescharacteristic
278C2×C4⋊C4×C61C2311yescharacteristic
279C2×C4⋊C4×C61C2311yescharacteristic
280C2×C4⋊C4×C61C2311yescharacteristic
281C2×C4⋊C4×C61C2311yescharacteristic
282C2×C4⋊C4×C61C2311yescharacteristic
283C2×C4⋊C4×C61C2311yescharacteristic
284C2×C4⋊C4×C61C2311yescharacteristic
285C2×C4⋊C4×C61C2311yescharacteristic
286C2×C4⋊C4×C61C2311yescharacteristic
287C2×C4⋊C4×C61C2311yescharacteristic
288C2×C4⋊C4×C61C2311yescharacteristic
289C2×C4⋊C4×C61C2311yescharacteristic
290C2×C4⋊C4×C61C2311yescharacteristic
291C2×C4⋊C4×C61C2311yescharacteristic
292C2×C4⋊C4×C61C2311yescharacteristic
293C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
326C2×C22⋊C4×C61C2311yescharacteristic
327C2×C22⋊C4×C61C2311yescharacteristic
328C2×C22⋊C4×C61C2311yescharacteristic
329C2×C22⋊C4×C61C2311yescharacteristic
330C2×C22⋊C4×C61C2311yescharacteristic
331C2×C22⋊C4×C61C2311yescharacteristic
332C2×C22⋊C4×C61C2311yescharacteristic
333C2×C22⋊C4×C61C2311yescharacteristic
334C2×C22⋊C4×C61C2311yescharacteristic
335C2×C22⋊C4×C61C2311yescharacteristic
336C2×C22⋊C4×C61C2311yescharacteristic
337C2×C22⋊C4×C61C2311yescharacteristic
338C2×C22⋊C4×C61C2311yescharacteristic
339C2×C22⋊C4×C61C2311yescharacteristic
340C2×C22⋊C4×C61C2311yescharacteristic
341C2×C22⋊C4×C61C2311yescharacteristic
342C2×C22⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C42×C61C2311yescharacteristic
347C2×C42×C61C2311yescharacteristic
348C2×C42×C61C2311yescharacteristic
349C2×C42×C61C2311yescharacteristic
350C2×C42×C61C2311yescharacteristic
351C2×C42×C61C2311yescharacteristic
352C2×C42×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61—22no—
386C24×C61—22no—
387C24×C61—22no—
388C24×C61—41no—
389C24×C61—41no—
390C24×C61—41no—
391C24×C61—41no—
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C24×C61C2411yescharacteristic
397C24×C61C2411yescharacteristic
398#41×C61—416no—
399C2×Q8×C61—22no—
400C2×Q8×C61—22no—
401C2×Q8×C61—22no—
402C2×Q8×C61—41no—
403C2×Q8×C61—41no—
404C2×Q8×C61—41no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—22no—
419C2×D4×C61—22no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61—41no—
436C2×D4×C61—41no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C2×D4×C61C2×D414yes—
441C22×C4×C61—22no—
442C22×C4×C61—22no—
443C22×C4×C61—22no—
444C22×C4×C61—22no—
445C22×C4×C61—22no—
446C22×C4×C61—22no—
447C22×C4×C61—22no—
448C22×C4×C61—22no—
449C22×C4×C61—22no—
450C22×C4×C61—22no—
451C22×C4×C61—22no—
452C22×C4×C61—22no—
453C22×C4×C61—22no—
454C22×C4×C61—22no—
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—41no—
462C22×C4×C61—41no—
463C22×C4×C61—41no—
464C22×C4×C61—41no—
465C22×C4×C61—41no—
466C22×C4×C61—41no—
467C22×C4×C61—41no—
468C22×C4×C61—41no—
469C22×C4×C61—41no—
470C22×C4×C61—41no—
471C22×C4×C61—41no—
472C22×C4×C61—416no—
473C22×C4×C61C2×D414yes—
474C22×C4×C61C2×D414yes—
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
488C22×C4×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C22×C4×C61C2411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C4⋊C4×C61—22no—
501C4⋊C4×C61—22no—
502C4⋊C4×C61—22no—
503C4⋊C4×C61—22no—
504C4⋊C4×C61—22no—
505C4⋊C4×C61—22no—
506C4⋊C4×C61—22no—
507C4⋊C4×C61—22no—
508C4⋊C4×C61—22no—
509C4⋊C4×C61—22no—
510C4⋊C4×C61—22no—
511C4⋊C4×C61—22no—
512C4⋊C4×C61—22no—
513C4⋊C4×C61—22no—
514C4⋊C4×C61—22no—
515C4⋊C4×C61—22no—
516C4⋊C4×C61—22no—
517C4⋊C4×C61—22no—
518C4⋊C4×C61—22no—
519C4⋊C4×C61—22no—
520C4⋊C4×C61—22no—
521C4⋊C4×C61—41no—
522C4⋊C4×C61—41no—
523C4⋊C4×C61—41no—
524C4⋊C4×C61—41no—
525C4⋊C4×C61—41no—
526C4⋊C4×C61—41no—
527C4⋊C4×C61—41no—
528C4⋊C4×C61—41no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61—41no—
531C4⋊C4×C61—41no—
532C4⋊C4×C61—41no—
533C4⋊C4×C61—41no—
534C4⋊C4×C61—41no—
535C4⋊C4×C61—41no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61C2×D414yes—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61—22no—
553C22⋊C4×C61—22no—
554C22⋊C4×C61—22no—
555C22⋊C4×C61—22no—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—22no—
558C22⋊C4×C61—22no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61—41no—
562C22⋊C4×C61—41no—
563C22⋊C4×C61—41no—
564C22⋊C4×C61—41no—
565C22⋊C4×C61—41no—
566C22⋊C4×C61—41no—
567C22⋊C4×C61—41no—
568C22⋊C4×C61—41no—
569C22⋊C4×C61—41no—
570C22⋊C4×C61—41no—
571C22⋊C4×C61—41no—
572C22⋊C4×C61—41no—
573C22⋊C4×C61—41no—
574C22⋊C4×C61—41no—
575C22⋊C4×C61—41no—
576C22⋊C4×C61—41no—
577C22⋊C4×C61—41no—
578C22⋊C4×C61—41no—
579C22⋊C4×C61—41no—
580C22⋊C4×C61—41no—
581C22⋊C4×C61—41no—
582C22⋊C4×C61—41no—
583C22⋊C4×C61—41no—
584C22⋊C4×C61—41no—
585C22⋊C4×C61—41no—
586C22⋊C4×C61—41no—
587C22⋊C4×C61—41no—
588C22⋊C4×C61C2×D414yes—
589C22⋊C4×C61C2×D414yes—
590C42×C61—22no—
591C42×C61—22no—
592C42×C61—41no—
593C42×C61—41no—
594C42×C61—41no—
595C42×C61—41no—
596C42×C61C2×D414yes—
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—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—44no—
636C23×C61—44no—
637C23×C61—44no—
638C23×C61—44no—
639C23×C61—44no—
640C23×C61—44no—
641C23×C61—44no—
642C23×C61C22×D412yes—
643C23×C61C22×D412yes—
644C23×C61H(5,𝔽2)12yes—
645C23×C612−1+412yes—
646C23×C61C2511yescharacteristic
647Q8×C61—44no—
648Q8×C61—82no—
649D4×C61—44no—
650D4×C61—44no—
651D4×C61—44no—
652D4×C61—44no—
653D4×C61—44no—
654D4×C61—44no—
655D4×C61—44no—
656D4×C61—44no—
657D4×C61—82no—
658D4×C61—82no—
659D4×C61—82no—
660D4×C61—82no—
661C2×C4×C61—28no—
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—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—44no—
732C2×C4×C61—44no—
733C2×C4×C61—44no—
734C2×C4×C61—44no—
735C2×C4×C61—44no—
736C2×C4×C61—44no—
737C2×C4×C61—44no—
738C2×C4×C61—44no—
739C2×C4×C61—82no—
740C2×C4×C61—82no—
741C2×C4×C61C22×D412yes—
742C2×C4×C61C22×D412yes—
743C2×C4×C61C22×D412yes—
744C2×C4×C61C22×D412yes—
745C2×C4×C61C22×D412yes—
746C2×C4×C61H(5,𝔽2)12yes—
747#36723C6111yesmaximal, characteristic, direct product factor, Sylow
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—22no—
760C22×C61—416no—
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—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61C23×D411yescharacteristic
792C22×C61C2×H(5,𝔽2)11yescharacteristic
793C22×C61C2×H(5,𝔽2)11yescharacteristic
794C22×C61C2×2−1+411yescharacteristic
795C22×C61#58511yescharacteristic
796C22×C61#58511yescharacteristic
797C22×C61#58511yescharacteristic
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—22no—
803C4×C61—22no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C2×#539C2×C6111yescharacteristic, complemented
824C2×#525C2×C6111yescharacteristic, complemented
825#2849C2×C6111yescharacteristic, complemented
826#2848C2×C6111yescharacteristic, complemented
827#2707C2×C6111yescharacteristic, complemented
828#2706C2×C6111yescharacteristic, complemented
829#2704C2×C6111yescharacteristic, complemented
830#2703C2×C6111yescharacteristic, complemented
831#2701C2×C6111yescharacteristic, complemented
832#2698C2×C6111yescharacteristic, complemented
833#2697C2×C6111yescharacteristic, complemented
834#2685C2×C6111yescharacteristic, complemented
835#2683C2×C6111yescharacteristic, complemented
836#2682C2×C6111yescharacteristic, complemented
837#2681C2×C6111yescharacteristic, complemented
838#2681C2×C6111yescharacteristic, complemented
839#2680C2×C6111yescharacteristic, complemented
840#2680C2×C6111yescharacteristic, complemented
841#2678C2×C6111yescharacteristic, complemented
842#2678C2×C6111yescharacteristic, complemented
843#2638C2×C6111yescharacteristic, complemented
844#2630C2×C6111yescharacteristic, complemented
845#2611C2×C6111yescharacteristic, complemented
846#2603C2×C6111yescharacteristic, complemented
847#2601C2×C6111yescharacteristic, complemented
848#2600C2×C6111yescharacteristic, complemented
849#2579C2×C6111yescharacteristic, complemented
850#2566C2×C6111yescharacteristic, complemented
851#2407C2×C6111yescharacteristic, complemented
852#2406C2×C6111yescharacteristic, complemented
853#2319C2×C6111yescharacteristic, complemented
854C2×C61—42no—
855C2×C61—42no—
856C2×C61—42no—
857C2×C61—42no—
858C2×C61—81no—
859C2×C61—81no—
860C2×C61#344911yescharacteristic
861C2×C61#348411yescharacteristic
862C2×C61#348911yescharacteristic
863C2×C61#353311yescharacteristic
864C2×C61#353511yescharacteristic
865C2×C61#353911yescharacteristic
866C2×C61#354111yescharacteristic
867C22×#41C22×C6111yescharacteristic
868C24×C4C22×C6111yescharacteristic
869#539—28no—
870C2×#126C22×C6111yescharacteristic
871C2×#126C22×C6111yescharacteristic, complemented
872C2×#125C22×C6111yescharacteristic, complemented
873C2×#125C22×C6111yescharacteristic, complemented
874#525—28no—
875C2×#123C22×C6111yescharacteristic
876C2×#123C22×C6111yescharacteristic
877C2×#123C22×C6111yescharacteristic
878C2×#123C22×C6111yescharacteristic
879C2×#123C22×C6111yescharacteristic
880C2×#123C22×C6111yescharacteristic
881C2×#123C22×C6111yescharacteristic
882C2×#123C22×C6111yescharacteristic, complemented
883C2×#123C22×C6111yescharacteristic, complemented
884C2×C22⋊Q8C22×C6111yescharacteristic
885C2×C22⋊Q8C22×C6111yescharacteristic
886C2×C22⋊Q8C22×C6111yescharacteristic
887C2×C22⋊Q8C22×C6111yescharacteristic
888C2×C22⋊Q8C22×C6111yescharacteristic
889C2×C22⋊Q8C22×C6111yescharacteristic, complemented
890C2×C22⋊Q8C22×C6111yescharacteristic, complemented
891C2×C22⋊Q8C22×C6111yescharacteristic, complemented
892C2×#121C22×C6111yescharacteristic
893C2×#121C22×C6111yescharacteristic
894C2×#121C22×C6111yescharacteristic
895C2×#121C22×C6111yescharacteristic
896C2×#120C22×C6111yescharacteristic
897C2×#120C22×C6111yescharacteristic
898C2×#120C22×C6111yescharacteristic
899C2×C4×D4C22×C6111yescharacteristic
900C2×C4×D4C22×C6111yescharacteristic
901C2×C4×D4C22×C6111yescharacteristic
902C2×C4×D4C22×C6111yescharacteristic
903C2×C4×D4C22×C6111yescharacteristic, complemented
904C2×#117C22×C6111yescharacteristic
905C22×C4⋊C4C22×C6111yescharacteristic, complemented
906#400C22×C6111yescharacteristic, complemented
907#399C22×C6111yescharacteristic
908#398C22×C6111yescharacteristic, complemented
909#398C22×C6111yescharacteristic, complemented
910#398C22×C6111yescharacteristic, complemented
911#398C22×C6111yescharacteristic, complemented
912#398C22×C6111yescharacteristic, complemented
913#398C22×C6111yescharacteristic, complemented
914#398C22×C6111yescharacteristic, complemented
915#397C22×C6111yescharacteristic
916#397C22×C6111yescharacteristic
917#397C22×C6111yescharacteristic
918#397C22×C6111yescharacteristic
919#397C22×C6111yescharacteristic, complemented
920#397C22×C6111yescharacteristic, complemented
921#397C22×C6111yescharacteristic, complemented
922#396C22×C6111yescharacteristic
923#396C22×C6111yescharacteristic
924#396C22×C6111yescharacteristic
925#396C22×C6111yescharacteristic
926#396C22×C6111yescharacteristic
927#396C22×C6111yescharacteristic, complemented
928#396C22×C6111yescharacteristic, complemented
929#396C22×C6111yescharacteristic, complemented
930#396C22×C6111yescharacteristic, complemented
931#396C22×C6111yescharacteristic, complemented
932#395C22×C6111yescharacteristic, complemented
933#395C22×C6111yescharacteristic, complemented
934#395C22×C6111yescharacteristic, complemented
935#394C22×C6111yescharacteristic
936#394C22×C6111yescharacteristic
937#394C22×C6111yescharacteristic
938#394C22×C6111yescharacteristic
939#394C22×C6111yescharacteristic
940#394C22×C6111yescharacteristic
941#394C22×C6111yescharacteristic
942#394C22×C6111yescharacteristic
943#394C22×C6111yescharacteristic
944#394C22×C6111yescharacteristic
945#394C22×C6111yescharacteristic, complemented
946#394C22×C6111yescharacteristic, complemented
947#394C22×C6111yescharacteristic, complemented
948#393C22×C6111yescharacteristic, complemented
949#392C22×C6111yescharacteristic
950#392C22×C6111yescharacteristic
951#392C22×C6111yescharacteristic
952#392C22×C6111yescharacteristic
953#392C22×C6111yescharacteristic, complemented
954#391C22×C6111yescharacteristic, complemented
955#390C22×C6111yescharacteristic
956#390C22×C6111yescharacteristic
957#390C22×C6111yescharacteristic
958#390C22×C6111yescharacteristic
959#390C22×C6111yescharacteristic
960#390C22×C6111yescharacteristic
961#390C22×C6111yescharacteristic
962#390C22×C6111yescharacteristic, complemented
963#389C22×C6111yescharacteristic, complemented
964#389C22×C6111yescharacteristic, complemented
965#389C22×C6111yescharacteristic, complemented
966#389C22×C6111yescharacteristic, complemented
967#389C22×C6111yescharacteristic, complemented
968#388C22×C6111yescharacteristic
969#388C22×C6111yescharacteristic
970#388C22×C6111yescharacteristic
971#388C22×C6111yescharacteristic
972#388C22×C6111yescharacteristic
973#388C22×C6111yescharacteristic
974#388C22×C6111yescharacteristic
975#388C22×C6111yescharacteristic, complemented
976#388C22×C6111yescharacteristic, complemented
977#388C22×C6111yescharacteristic, complemented
978#388C22×C6111yescharacteristic, complemented
979#388C22×C6111yescharacteristic, complemented
980#387C22×C6111yescharacteristic, complemented
981#387C22×C6111yescharacteristic, complemented
982#387C22×C6111yescharacteristic, complemented
983#387C22×C6111yescharacteristic, complemented
984#386C22×C6111yescharacteristic
985#386C22×C6111yescharacteristic
986#386C22×C6111yescharacteristic
987#386C22×C6111yescharacteristic
988#386C22×C6111yescharacteristic
989#386C22×C6111yescharacteristic
990#386C22×C6111yescharacteristic
991#386C22×C6111yescharacteristic
992#386C22×C6111yescharacteristic, complemented
993#386C22×C6111yescharacteristic, complemented
994#385C22×C6111yescharacteristic
995#385C22×C6111yescharacteristic
996#385C22×C6111yescharacteristic
997#385C22×C6111yescharacteristic
998#385C22×C6111yescharacteristic
999#385C22×C6111yescharacteristic
1000#385C22×C6111yescharacteristic
1001#385C22×C6111yescharacteristic
1002#385C22×C6111yescharacteristic
1003#385C22×C6111yescharacteristic
1004#385C22×C6111yescharacteristic, complemented
1005#385C22×C6111yescharacteristic, complemented
1006#385C22×C6111yescharacteristic, complemented
1007#385C22×C6111yescharacteristic, complemented
1008#385C22×C6111yescharacteristic, complemented
1009#385C22×C6111yescharacteristic, complemented
1010#384C22×C6111yescharacteristic, complemented
1011#382C22×C6111yescharacteristic, complemented
1012#381C22×C6111yescharacteristic
1013#381C22×C6111yescharacteristic
1014#381C22×C6111yescharacteristic, complemented
1015#380C22×C6111yescharacteristic
1016#380C22×C6111yescharacteristic
1017#380C22×C6111yescharacteristic
1018#380C22×C6111yescharacteristic, complemented
1019#379C22×C6111yescharacteristic
1020#379C22×C6111yescharacteristic
1021#379C22×C6111yescharacteristic
1022C4×C4⋊C4C22×C6111yescharacteristic, complemented
1023#376C22×C6111yescharacteristic, complemented
1024C61#3672311yescharacteristic, direct product factor, Sylow
1025C25C23×C6111yescharacteristic
1026C2×#41—24no—
1027C2×#41—42no—
1028C2×#41—42no—
1029C22×Q8C23×C6111yescharacteristic
1030C22×Q8C23×C6111yescharacteristic
1031C22×D4C23×C6111yescharacteristic
1032C22×D4C23×C6111yescharacteristic
1033C22×D4C23×C6111yescharacteristic
1034C22×D4C23×C6111yescharacteristic
1035C22×D4C23×C6111yescharacteristic
1036C22×D4C23×C6111yescharacteristic
1037C22×D4C23×C6111yescharacteristic
1038C22×D4C23×C6111yescharacteristic
1039C22×D4C23×C6111yescharacteristic
1040C22×D4C23×C6111yescharacteristic
1041C22×D4C23×C6111yescharacteristic
1042C22×D4C23×C6111yescharacteristic
1043C23×C4—24no—
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4C23×C6111yescharacteristic
1047C23×C4C23×C6111yescharacteristic
1048C23×C4C23×C6111yescharacteristic
1049C23×C4C23×C6111yescharacteristic
1050C23×C4C23×C6111yescharacteristic
1051C23×C4C23×C6111yescharacteristic
1052C23×C4C23×C6111yescharacteristic
1053C23×C4C23×C6111yescharacteristic
1054C23×C4C23×C6111yescharacteristic
1055C23×C4C23×C6111yescharacteristic
1056C23×C4C23×C6111yescharacteristic
1057#126—24no—
1058#126—24no—
1059#125—24no—
1060#125—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064#123—24no—
1065#123—24no—
1066#123—24no—
1067#123—42no—
1068#123—42no—
1069#123—42no—
1070C22⋊Q8—24no—
1071C22⋊Q8—24no—
1072C22⋊Q8—24no—
1073C22⋊Q8—24no—
1074C22⋊Q8—24no—
1075C22⋊Q8—42no—
1076C22⋊Q8—42no—
1077C22⋊Q8—42no—
1078#121—24no—
1079#121—24no—
1080#121—24no—
1081#121—42no—
1082#120—24no—
1083#120—24no—
1084#120—42no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4D4×C6118yescomplemented
1090#117—24no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4C23×C6111yescharacteristic
1093C2×C4⋊C4C23×C6111yescharacteristic
1094C2×C4⋊C4C23×C6111yescharacteristic
1095C2×C4⋊C4C23×C6111yescharacteristic
1096C2×C4⋊C4C23×C6111yescharacteristic
1097C2×C4⋊C4C23×C6111yescharacteristic
1098C2×C4⋊C4C23×C6111yescharacteristic
1099C2×C4⋊C4C23×C6111yescharacteristic
1100C2×C4⋊C4C23×C6111yescharacteristic
1101C2×C4⋊C4C23×C6111yescharacteristic
1102C2×C4⋊C4C23×C6111yescharacteristic
1103C2×C4⋊C4C23×C6111yescharacteristic
1104C2×C4⋊C4C23×C6111yescharacteristic
1105C2×C4⋊C4C23×C6111yescharacteristic
1106C2×C4⋊C4C23×C6111yescharacteristic
1107C2×C4⋊C4C23×C6111yescharacteristic
1108C2×C4⋊C4C23×C6111yescharacteristic
1109C2×C4⋊C4C23×C6111yescharacteristic
1110C2×C4⋊C4C23×C6111yescharacteristic
1111C2×C4⋊C4C23×C6111yescharacteristic
1112C2×C4⋊C4C23×C6111yescharacteristic
1113C2×C4⋊C4C23×C6111yescharacteristic
1114C2×C4⋊C4C23×C6111yescharacteristic
1115C2×C4⋊C4C23×C6111yescharacteristic
1116C2×C4⋊C4C23×C6111yescharacteristic
1117C2×C4⋊C4C23×C6111yescharacteristic
1118C2×C4⋊C4C23×C6111yescharacteristic
1119C2×C4⋊C4C23×C6111yescharacteristic
1120C2×C4⋊C4C23×C6111yescharacteristic
1121C2×C4⋊C4C23×C6111yescharacteristic
1122C2×C4⋊C4C23×C6111yescharacteristic
1123C2×C4⋊C4C23×C6111yescharacteristic
1124C2×C4⋊C4C23×C6111yescharacteristic
1125C2×C4⋊C4C23×C6111yescharacteristic
1126C2×C4⋊C4C23×C6111yescharacteristic
1127C2×C4⋊C4C23×C6111yescharacteristic
1128C2×C4⋊C4C23×C6111yescharacteristic
1129C2×C4⋊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×C22⋊C4C23×C6111yescharacteristic
1140C2×C22⋊C4C23×C6111yescharacteristic
1141C2×C22⋊C4C23×C6111yescharacteristic
1142C2×C22⋊C4C23×C6111yescharacteristic
1143C2×C22⋊C4C23×C6111yescharacteristic
1144C2×C22⋊C4C23×C6111yescharacteristic
1145C2×C22⋊C4C23×C6111yescharacteristic
1146C2×C22⋊C4C23×C6111yescharacteristic
1147C2×C22⋊C4C23×C6111yescharacteristic
1148C2×C22⋊C4C23×C6111yescharacteristic
1149C2×C22⋊C4C23×C6111yescharacteristic
1150C2×C22⋊C4C23×C6111yescharacteristic
1151C2×C22⋊C4C23×C6111yescharacteristic
1152C2×C22⋊C4C23×C6111yescharacteristic
1153C2×C22⋊C4C23×C6111yescharacteristic
1154C2×C22⋊C4C23×C6111yescharacteristic
1155C2×C22⋊C4C23×C6111yescharacteristic
1156C2×C22⋊C4C23×C6111yescharacteristic
1157C2×C22⋊C4C23×C6111yescharacteristic
1158C2×C22⋊C4C23×C6111yescharacteristic
1159C2×C22⋊C4C23×C6111yescharacteristic
1160C2×C22⋊C4C23×C6111yescharacteristic
1161C2×C22⋊C4C23×C6111yescharacteristic
1162C2×C22⋊C4C23×C6111yescharacteristic
1163C2×C22⋊C4C23×C6111yescharacteristic
1164C2×C22⋊C4C23×C6111yescharacteristic
1165C2×C22⋊C4C23×C6111yescharacteristic
1166C2×C22⋊C4C23×C6111yescharacteristic
1167C2×C22⋊C4C23×C6111yescharacteristic
1168C2×C22⋊C4C23×C6111yescharacteristic
1169C2×C22⋊C4C23×C6111yescharacteristic
1170C2×C22⋊C4C23×C6111yescharacteristic
1171C2×C22⋊C4C23×C6111yescharacteristic
1172C2×C22⋊C4C23×C6111yescharacteristic
1173C2×C22⋊C4C23×C6111yescharacteristic
1174C2×C22⋊C4C23×C6111yescharacteristic
1175C2×C22⋊C4C23×C6111yescharacteristic
1176C2×C22⋊C4C23×C6111yescharacteristic
1177C2×C22⋊C4C23×C6111yescharacteristic
1178C2×C22⋊C4C23×C6111yescharacteristic
1179C2×C22⋊C4C23×C6111yescharacteristic
1180C2×C22⋊C4C23×C6111yescharacteristic
1181C2×C22⋊C4C23×C6111yescharacteristic
1182C2×C42C23×C6111yescharacteristic
1183C2×C42C23×C6111yescharacteristic
1184C2×C42C23×C6111yescharacteristic
1185C2×C42C23×C6111yescharacteristic
1186C2×C42C23×C6111yescharacteristic
1187C2×C42C23×C6111yescharacteristic
1188C2×C42C23×C6111yescharacteristic
1189#95C23×C6111yescharacteristic
1190#95C23×C6111yescharacteristic
1191#95C23×C6111yescharacteristic
1192#95C23×C6111yescharacteristic
1193#95C23×C6111yescharacteristic
1194#95C23×C6111yescharacteristic
1195#95C23×C6111yescharacteristic
1196#95C23×C6111yescharacteristic
1197#95C23×C6111yescharacteristic
1198#95C23×C6111yescharacteristic
1199#95C23×C6111yescharacteristic
1200#95C23×C6111yescharacteristic
1201#95C23×C6111yescharacteristic
1202#95C23×C6111yescharacteristic
1203#95C23×C6111yescharacteristic
1204#95C23×C6111yescharacteristic
1205#95C23×C6111yescharacteristic
1206#95C23×C6111yescharacteristic
1207#95C23×C6111yescharacteristic
1208#95C23×C6111yescharacteristic
1209#95C23×C6111yescharacteristic
1210#95C23×C6111yescharacteristic
1211#95C23×C6111yescharacteristic
1212#95C23×C6111yescharacteristic
1213#95C23×C6111yescharacteristic
1214#95C23×C6111yescharacteristic
1215#95C23×C6111yescharacteristic
1216#95C23×C6111yescharacteristic
1217#95C23×C6111yescharacteristic
1218#95C23×C6111yescharacteristic
1219#95C23×C6111yescharacteristic
1220#95C23×C6111yescharacteristic
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24C24×C6111yescharacteristic
1229C24C24×C6111yescharacteristic
1230C24C24×C6111yescharacteristic
1231C24C24×C6111yescharacteristic
1232C24C24×C6111yescharacteristic
1233C24C24×C6111yescharacteristic
1234#41—416no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—41no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4C2×D4×C6114yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—416no—
1309C22×C4C2×D4×C6114yes—
1310C22×C4C2×D4×C6114yes—
1311C22×C4C24×C6111yescharacteristic
1312C22×C4C24×C6111yescharacteristic
1313C22×C4C24×C6111yescharacteristic
1314C22×C4C24×C6111yescharacteristic
1315C22×C4C24×C6111yescharacteristic
1316C22×C4C24×C6111yescharacteristic
1317C22×C4C24×C6111yescharacteristic
1318C22×C4C24×C6111yescharacteristic
1319C22×C4C24×C6111yescharacteristic
1320C22×C4C24×C6111yescharacteristic
1321C22×C4C24×C6111yescharacteristic
1322C22×C4C24×C6111yescharacteristic
1323C22×C4C24×C6111yescharacteristic
1324C22×C4C24×C6111yescharacteristic
1325C22×C4C24×C6111yescharacteristic
1326C22×C4C24×C6111yescharacteristic
1327C22×C4C24×C6111yescharacteristic
1328C22×C4C24×C6111yescharacteristic
1329C22×C4C24×C6111yescharacteristic
1330C22×C4C24×C6111yescharacteristic
1331C22×C4C24×C6111yescharacteristic
1332C22×C4C24×C6111yescharacteristic
1333C22×C4C24×C6111yescharacteristic
1334C22×C4C24×C6111yescharacteristic
1335C22×C4C24×C6111yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4C2×D4×C6114yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4C2×D4×C6114yes—
1425C22⋊C4C2×D4×C6114yes—
1426C42—22no—
1427C42—22no—
1428C42—41no—
1429C42—41no—
1430C42—41no—
1431C42—41no—
1432C42C2×D4×C6114yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23C22×D4×C6112yes—
1479C23C22×D4×C6112yes—
1480C23H(5,𝔽2)×C6112yes—
1481C232−1+4×C6112yes—
1482C23C25×C6111yescharacteristic
1483Q8—44no—
1484Q8—82no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—44no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497C2×C4—28no—
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—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4C22×D4×C6112yes—
1578C2×C4C22×D4×C6112yes—
1579C2×C4C22×D4×C6112yes—
1580C2×C4C22×D4×C6112yes—
1581C2×C4C22×D4×C6112yes—
1582C2×C4H(5,𝔽2)×C6112yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—416no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22C23×D4×C6111yescharacteristic
1627C22C2×H(5,𝔽2)×C6111yescharacteristic
1628C22C2×H(5,𝔽2)×C6111yescharacteristic
1629C22C2×2−1+4×C6111yescharacteristic
1630C22C61×#58511yescharacteristic
1631C22C61×#58511yescharacteristic
1632C22C61×#58511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—81no—
1663C2—81no—
1664C2C61×#344911yescharacteristic
1665C2C61×#348411yescharacteristic
1666C2C61×#348911yescharacteristic
1667C2C61×#353311yescharacteristic
1668C2C61×#353511yescharacteristic
1669C2C61×#353911yescharacteristic
1670C2C61×#354111yescharacteristic
subgroupG/H
center, socleC23×C61C25
commutator, Frattini, cosocleC23C25×C61
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C61×#539C2semidirect
2. C2×C61×#525C2semidirect
3. C61×#2849C2semidirect
4. C61×#2848C2semidirect
5. C61×#2707C2semidirect
6. C61×#2706C2semidirect
7. C61×#2704C2semidirect
8. C61×#2703C2semidirect
9. C61×#2701C2semidirect
10. C61×#2698C2semidirect
11. C61×#2697C2semidirect
12. C61×#2685C2semidirect
13. C61×#2683C2semidirect
14. C61×#2682C2semidirect
15. C61×#2681C2semidirect
16. C61×#2681C2semidirect
17. C61×#2680C2semidirect
18. C61×#2680C2semidirect
19. C61×#2678C2semidirect
20. C61×#2678C2semidirect
21. C61×#2638C2semidirect
22. C61×#2630C2semidirect
23. C61×#2611C2semidirect
24. C61×#2603C2semidirect
25. C61×#2601C2semidirect
26. C61×#2600C2semidirect
27. C61×#2579C2semidirect
28. C61×#2566C2semidirect
29. C61×#2407C2semidirect
30. C61×#2406C2semidirect
31. C61×#2319C2semidirect
36. C2×#126×C61C22semidirect
37. C2×#125×C61C22semidirect
38. C2×#125×C61C22semidirect
47. C2×#123×C61C22semidirect
48. C2×#123×C61C22semidirect
54. C2×C22⋊Q8×C61C22semidirect
55. C2×C22⋊Q8×C61C22semidirect
56. C2×C22⋊Q8×C61C22semidirect
68. C2×C4×D4×C61C22semidirect
70. C22×C4⋊C4×C61C22semidirect
71. C61×#400C22semidirect
73. C61×#398C22semidirect
74. C61×#398C22semidirect
75. C61×#398C22semidirect
76. C61×#398C22semidirect
77. C61×#398C22semidirect
78. C61×#398C22semidirect
79. C61×#398C22semidirect
84. C61×#397C22semidirect
85. C61×#397C22semidirect
86. C61×#397C22semidirect
92. C61×#396C22semidirect
93. C61×#396C22semidirect
94. C61×#396C22semidirect
95. C61×#396C22semidirect
96. C61×#396C22semidirect
97. C61×#395C22semidirect
98. C61×#395C22semidirect
99. C61×#395C22semidirect
110. C61×#394C22semidirect
111. C61×#394C22semidirect
112. C61×#394C22semidirect
113. C61×#393C22semidirect
118. C61×#392C22semidirect
119. C61×#391C22semidirect
127. C61×#390C22semidirect
128. C61×#389C22semidirect
129. C61×#389C22semidirect
130. C61×#389C22semidirect
131. C61×#389C22semidirect
132. C61×#389C22semidirect
140. C61×#388C22semidirect
141. C61×#388C22semidirect
142. C61×#388C22semidirect
143. C61×#388C22semidirect
144. C61×#388C22semidirect
145. C61×#387C22semidirect
146. C61×#387C22semidirect
147. C61×#387C22semidirect
148. C61×#387C22semidirect
157. C61×#386C22semidirect
158. C61×#386C22semidirect
169. C61×#385C22semidirect
170. C61×#385C22semidirect
171. C61×#385C22semidirect
172. C61×#385C22semidirect
173. C61×#385C22semidirect
174. C61×#385C22semidirect
175. C61×#384C22semidirect
176. C61×#382C22semidirect
179. C61×#381C22semidirect
183. C61×#380C22semidirect
187. C4×C4⋊C4×C61C22semidirect
188. C61×#376C22semidirect
253. C4×D4×C61D4semidirect
747. #36723C61direct (N × H)
823. C2×#539C2×C61semidirect
824. C2×#525C2×C61semidirect
825. #2849C2×C61semidirect
826. #2848C2×C61semidirect
827. #2707C2×C61semidirect
828. #2706C2×C61semidirect
829. #2704C2×C61semidirect
830. #2703C2×C61semidirect
831. #2701C2×C61semidirect
832. #2698C2×C61semidirect
833. #2697C2×C61semidirect
834. #2685C2×C61semidirect
835. #2683C2×C61semidirect
836. #2682C2×C61semidirect
837. #2681C2×C61semidirect
838. #2681C2×C61semidirect
839. #2680C2×C61semidirect
840. #2680C2×C61semidirect
841. #2678C2×C61semidirect
842. #2678C2×C61semidirect
843. #2638C2×C61semidirect
844. #2630C2×C61semidirect
845. #2611C2×C61semidirect
846. #2603C2×C61semidirect
847. #2601C2×C61semidirect
848. #2600C2×C61semidirect
849. #2579C2×C61semidirect
850. #2566C2×C61semidirect
851. #2407C2×C61semidirect
852. #2406C2×C61semidirect
853. #2319C2×C61semidirect
871. C2×#126C22×C61semidirect
872. C2×#125C22×C61semidirect
873. C2×#125C22×C61semidirect
882. C2×#123C22×C61semidirect
883. C2×#123C22×C61semidirect
889. C2×C22⋊Q8C22×C61semidirect
890. C2×C22⋊Q8C22×C61semidirect
891. C2×C22⋊Q8C22×C61semidirect
903. C2×C4×D4C22×C61semidirect
905. C22×C4⋊C4C22×C61semidirect
906. #400C22×C61semidirect
908. #398C22×C61semidirect
909. #398C22×C61semidirect
910. #398C22×C61semidirect
911. #398C22×C61semidirect
912. #398C22×C61semidirect
913. #398C22×C61semidirect
914. #398C22×C61semidirect
919. #397C22×C61semidirect
920. #397C22×C61semidirect
921. #397C22×C61semidirect
927. #396C22×C61semidirect
928. #396C22×C61semidirect
929. #396C22×C61semidirect
930. #396C22×C61semidirect
931. #396C22×C61semidirect
932. #395C22×C61semidirect
933. #395C22×C61semidirect
934. #395C22×C61semidirect
945. #394C22×C61semidirect
946. #394C22×C61semidirect
947. #394C22×C61semidirect
948. #393C22×C61semidirect
953. #392C22×C61semidirect
954. #391C22×C61semidirect
962. #390C22×C61semidirect
963. #389C22×C61semidirect
964. #389C22×C61semidirect
965. #389C22×C61semidirect
966. #389C22×C61semidirect
967. #389C22×C61semidirect
975. #388C22×C61semidirect
976. #388C22×C61semidirect
977. #388C22×C61semidirect
978. #388C22×C61semidirect
979. #388C22×C61semidirect
980. #387C22×C61semidirect
981. #387C22×C61semidirect
982. #387C22×C61semidirect
983. #387C22×C61semidirect
992. #386C22×C61semidirect
993. #386C22×C61semidirect
1004. #385C22×C61semidirect
1005. #385C22×C61semidirect
1006. #385C22×C61semidirect
1007. #385C22×C61semidirect
1008. #385C22×C61semidirect
1009. #385C22×C61semidirect
1010. #384C22×C61semidirect
1011. #382C22×C61semidirect
1014. #381C22×C61semidirect
1018. #380C22×C61semidirect
1022. C4×C4⋊C4C22×C61semidirect
1023. #376C22×C61semidirect
1024. C61#36723direct (N × H)
1089. C4×D4D4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#5392
C2×C61×#5252
C61×#28492
C61×#28482
C61×#27072
C61×#27062
C61×#27042
C61×#27032
C61×#27012
C61×#26982
C61×#26972
C61×#26852
C61×#26832
C61×#26822
C61×#26812
C61×#26802
C61×#26782
C61×#26382
C61×#26302
C61×#26112
C61×#26032
C61×#26012
C61×#26002
C61×#25792
C61×#25662
C61×#24072
C61×#24062
C61×#23192
#3672361