Finite Group Databasebeta

← C61×#36909 #29540342

Subgroups — C61×#36909 #29540342

Order 15616.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#2856C211yesmaximal, characteristic, complemented
2C61×#2853C211yesmaximal, characteristic, complemented
3C61×#2800C211yesmaximal, characteristic, complemented
4C61×#2795C211yesmaximal, characteristic, complemented
5C61×#2790C211yesmaximal, characteristic, complemented
6C61×#2714C211yesmaximal, characteristic, complemented
7C61×#2703C211yesmaximal, characteristic, complemented
8C61×#2701C211yesmaximal, characteristic, complemented
9C61×#2699C211yesmaximal, characteristic, complemented
10C61×#2691C211yesmaximal, characteristic, complemented
11C61×#2688C211yesmaximal, characteristic, complemented
12C61×#2678C211yesmaximal, characteristic, complemented
13C61×#2678C211yesmaximal, characteristic, complemented
14C61×#2675C211yesmaximal, characteristic, complemented
15C61×#2673C211yesmaximal, characteristic, complemented
16C61×#2673C211yesmaximal, characteristic, complemented
17C61×#2669C211yesmaximal, characteristic, complemented
18C61×#2669C211yesmaximal, characteristic, complemented
19C61×#2661C211yesmaximal, characteristic, complemented
20C61×#2648C211yesmaximal, characteristic, complemented
21C61×#2597C211yesmaximal, characteristic, complemented
22C61×#2554C211yesmaximal, characteristic, complemented
23C61×#2464C211yesmaximal, characteristic, complemented
24C61×#2456C211yesmaximal, characteristic, complemented
25C61×#2456C211yesmaximal, characteristic, complemented
26C61×#2428C211yesmaximal, characteristic, complemented
27C61×#2424C211yesmaximal, characteristic, complemented
28C61×#2424C211yesmaximal, characteristic, complemented
29C61×#2333C211yesmaximal, characteristic, complemented
30C61×#2321C211yesmaximal, characteristic, complemented
31C4×#121×C61C211yesmaximal, characteristic, complemented
32C2×#127×C61C2211yescharacteristic
33C2×#127×C61C2211yescharacteristic
34C2×#126×C61C2211yescharacteristic, complemented
35C2×#123×C61C2211yescharacteristic
36C2×#123×C61C2211yescharacteristic
37C2×#123×C61C2211yescharacteristic, complemented
38C2×#123×C61C2211yescharacteristic, complemented
39C2×#121×C61C2211yescharacteristic
40C2×#121×C61C2211yescharacteristic
41C2×#121×C61C2211yescharacteristic
42C2×#121×C61C2211yescharacteristic
43C2×#121×C61C2211yescharacteristic
44C2×#121×C61C2211yescharacteristic
45C2×#121×C61C2211yescharacteristic
46C2×#121×C61C2211yescharacteristic
47C2×#121×C61C2211yescharacteristic
48C2×#121×C61C2211yescharacteristic
49C2×#121×C61C2211yescharacteristic, complemented
50C2×#121×C61C2211yescharacteristic, complemented
51C2×#121×C61C2211yescharacteristic, complemented
52C2×#121×C61C2211yescharacteristic, complemented
53C2×#121×C61C2211yescharacteristic, complemented
54C2×#120×C61C2211yescharacteristic
55C2×#120×C61C2211yescharacteristic
56C2×#120×C61C2211yescharacteristic
57C2×#120×C61C2211yescharacteristic
58C2×#120×C61C2211yescharacteristic
59C2×C4×D4×C61C2211yescharacteristic
60C2×C4×D4×C61C2211yescharacteristic
61C2×C4×D4×C61C2211yescharacteristic
62C2×C4×D4×C61C2211yescharacteristic, complemented
63C22×C22⋊C4×C61C2211yescharacteristic
64C22×C42×C61C2211yescharacteristic, complemented
65C61×#400C2211yescharacteristic, complemented
66C61×#400C2211yescharacteristic, complemented
67C61×#398C2211yescharacteristic, complemented
68C61×#398C2211yescharacteristic, complemented
69C61×#398C2211yescharacteristic, complemented
70C61×#397C2211yescharacteristic
71C61×#397C2211yescharacteristic
72C61×#397C2211yescharacteristic, complemented
73C61×#397C2211yescharacteristic, complemented
74C61×#397C2211yescharacteristic, complemented
75C61×#396C2211yescharacteristic
76C61×#396C2211yescharacteristic
77C61×#396C2211yescharacteristic
78C61×#396C2211yescharacteristic
79C61×#396C2211yescharacteristic, complemented
80C61×#396C2211yescharacteristic, complemented
81C61×#394C2211yescharacteristic
82C61×#394C2211yescharacteristic
83C61×#394C2211yescharacteristic
84C61×#394C2211yescharacteristic
85C61×#394C2211yescharacteristic
86C61×#394C2211yescharacteristic
87C61×#394C2211yescharacteristic
88C61×#394C2211yescharacteristic
89C61×#394C2211yescharacteristic
90C61×#394C2211yescharacteristic
91C61×#394C2211yescharacteristic
92C61×#394C2211yescharacteristic
93C61×#394C2211yescharacteristic, complemented
94C61×#394C2211yescharacteristic, complemented
95C61×#394C2211yescharacteristic, complemented
96C61×#392C2211yescharacteristic
97C61×#392C2211yescharacteristic
98C61×#392C2211yescharacteristic
99C61×#392C2211yescharacteristic
100C61×#392C2211yescharacteristic
101C61×#392C2211yescharacteristic
102C61×#392C2211yescharacteristic
103C61×#392C2211yescharacteristic
104C61×#392C2211yescharacteristic
105C61×#392C2211yescharacteristic
106C61×#392C2211yescharacteristic
107C61×#392C2211yescharacteristic
108C61×#392C2211yescharacteristic
109C61×#392C2211yescharacteristic
110C61×#392C2211yescharacteristic, complemented
111C61×#392C2211yescharacteristic, complemented
112C61×#392C2211yescharacteristic, complemented
113C61×#390C2211yescharacteristic
114C61×#390C2211yescharacteristic
115C61×#390C2211yescharacteristic
116C61×#390C2211yescharacteristic
117C61×#390C2211yescharacteristic
118C61×#390C2211yescharacteristic
119C61×#390C2211yescharacteristic
120C61×#390C2211yescharacteristic
121C61×#390C2211yescharacteristic, complemented
122C61×#390C2211yescharacteristic, complemented
123C61×#390C2211yescharacteristic, complemented
124C61×#390C2211yescharacteristic, complemented
125C61×#389C2211yescharacteristic, complemented
126C61×#389C2211yescharacteristic, complemented
127C61×#388C2211yescharacteristic
128C61×#388C2211yescharacteristic
129C61×#388C2211yescharacteristic
130C61×#388C2211yescharacteristic
131C61×#388C2211yescharacteristic
132C61×#388C2211yescharacteristic
133C61×#388C2211yescharacteristic
134C61×#388C2211yescharacteristic
135C61×#388C2211yescharacteristic
136C61×#388C2211yescharacteristic
137C61×#388C2211yescharacteristic
138C61×#388C2211yescharacteristic
139C61×#388C2211yescharacteristic, complemented
140C61×#388C2211yescharacteristic, complemented
141C61×#388C2211yescharacteristic, complemented
142C61×#388C2211yescharacteristic, complemented
143C61×#388C2211yescharacteristic, complemented
144C61×#388C2211yescharacteristic, complemented
145C61×#388C2211yescharacteristic, complemented
146C61×#387C2211yescharacteristic, complemented
147C61×#387C2211yescharacteristic, complemented
148C61×#387C2211yescharacteristic, complemented
149C61×#387C2211yescharacteristic, complemented
150C61×#387C2211yescharacteristic, complemented
151C61×#387C2211yescharacteristic, complemented
152C61×#387C2211yescharacteristic, complemented
153C61×#386C2211yescharacteristic
154C61×#386C2211yescharacteristic
155C61×#386C2211yescharacteristic
156C61×#386C2211yescharacteristic
157C61×#386C2211yescharacteristic
158C61×#386C2211yescharacteristic
159C61×#386C2211yescharacteristic
160C61×#386C2211yescharacteristic
161C61×#386C2211yescharacteristic
162C61×#386C2211yescharacteristic
163C61×#386C2211yescharacteristic
164C61×#386C2211yescharacteristic, complemented
165C61×#386C2211yescharacteristic, complemented
166C61×#386C2211yescharacteristic, complemented
167C61×#386C2211yescharacteristic, complemented
168C61×#386C2211yescharacteristic, complemented
169C61×#386C2211yescharacteristic, complemented
170C61×#385C2211yescharacteristic
171C61×#385C2211yescharacteristic
172C61×#385C2211yescharacteristic
173C61×#385C2211yescharacteristic, complemented
174C61×#385C2211yescharacteristic, complemented
175C61×#385C2211yescharacteristic, complemented
176C61×#385C2211yescharacteristic, complemented
177C61×#384C2211yescharacteristic, complemented
178C61×#381C2211yescharacteristic, complemented
179C61×#381C2211yescharacteristic, complemented
180C61×#380C2211yescharacteristic, complemented
181C61×#379C2211yescharacteristic
182C4×C4⋊C4×C61C2211yescharacteristic, complemented
183C4×C22⋊C4×C61C2211yescharacteristic
184C4×C22⋊C4×C61C2211yescharacteristic, complemented
185C4×C22⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C25×C61C2311yescharacteristic
188C22×D4×C61C2311yescharacteristic
189C22×D4×C61C2311yescharacteristic
190C22×D4×C61C2311yescharacteristic
191C22×D4×C61C2311yescharacteristic
192C22×D4×C61C2311yescharacteristic
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
202C22×D4×C61C2311yescharacteristic
203C22×D4×C61C2311yescharacteristic
204C22×D4×C61C2311yescharacteristic
205C22×D4×C61C2311yescharacteristic
206C22×D4×C61C2311yescharacteristic
207C22×D4×C61C2311yescharacteristic
208C22×D4×C61C2311yescharacteristic
209C22×D4×C61C2311yescharacteristic
210C22×D4×C61C2311yescharacteristic
211C22×D4×C61C2311yescharacteristic
212C22×D4×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
221C23×C4×C61C2311yescharacteristic
222#127×C61—42no—
223#127×C61—42no—
224#126×C61—42no—
225#123×C61—42no—
226#123×C61—42no—
227#123×C61—42no—
228#123×C61—42no—
229#121×C61—24no—
230#121×C61—24no—
231#121×C61—42no—
232#121×C61—42no—
233#121×C61—42no—
234#121×C61—42no—
235#121×C61—42no—
236#121×C61—42no—
237#121×C61—42no—
238#121×C61—42no—
239#121×C61—42no—
240#121×C61—42no—
241#121×C61—42no—
242#121×C61—42no—
243#121×C61—42no—
244#120×C61—24no—
245#120×C61—42no—
246#120×C61—42no—
247#120×C61—42no—
248#120×C61—42no—
249C4×D4×C61—42no—
250C4×D4×C61—42no—
251C4×D4×C61—42no—
252C4×D4×C61—42no—
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×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×C22⋊C4×C61—42no—
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×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×C42×C61—42no—
336C2×C42×C61C2311yescharacteristic
337C2×C42×C61C2311yescharacteristic
338C2×C42×C61C2311yescharacteristic
339C2×C42×C61C2311yescharacteristic
340C2×C42×C61C2311yescharacteristic
341C2×C42×C61C2311yescharacteristic
342C2×C42×C61C2311yescharacteristic
343C2×C42×C61C2311yescharacteristic
344C2×C42×C61C2311yescharacteristic
345#95×C61C2311yescharacteristic
346#95×C61C2311yescharacteristic
347#95×C61C2311yescharacteristic
348#95×C61C2311yescharacteristic
349#95×C61C2311yescharacteristic
350#95×C61C2311yescharacteristic
351#95×C61C2311yescharacteristic
352#95×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61—22no—
376C24×C61—41no—
377C24×C61—41no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61C2411yescharacteristic
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C24×C61C2411yescharacteristic
388C24×C61C2411yescharacteristic
389C24×C61C2411yescharacteristic
390C2×D4×C61—22no—
391C2×D4×C61—22no—
392C2×D4×C61—22no—
393C2×D4×C61—22no—
394C2×D4×C61—22no—
395C2×D4×C61—22no—
396C2×D4×C61—22no—
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—22no—
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
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—
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×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C2×D4×C61—41no—
450C2×D4×C61—41no—
451C2×D4×C61—41no—
452C2×D4×C61—41no—
453C2×D4×C61—41no—
454C2×D4×C61—41no—
455C2×D4×C61—41no—
456C2×D4×C61—41no—
457C2×D4×C61—41no—
458C2×D4×C61—41no—
459C2×D4×C61—41no—
460C2×D4×C61—41no—
461C2×D4×C61—41no—
462C2×D4×C61—41no—
463C2×D4×C61—41no—
464C2×D4×C61—41no—
465C22×C4×C61—22no—
466C22×C4×C61—22no—
467C22×C4×C61—22no—
468C22×C4×C61—22no—
469C22×C4×C61—22no—
470C22×C4×C61—22no—
471C22×C4×C61—22no—
472C22×C4×C61—22no—
473C22×C4×C61—22no—
474C22×C4×C61—41no—
475C22×C4×C61—41no—
476C22×C4×C61—41no—
477C22×C4×C61—41no—
478C22×C4×C61—41no—
479C22×C4×C61—41no—
480C22×C4×C61—41no—
481C22×C4×C61—41no—
482C22×C4×C61—41no—
483C22×C4×C61—41no—
484C22×C4×C61—41no—
485C22×C4×C61—41no—
486C22×C4×C61—41no—
487C22×C4×C61—41no—
488C22×C4×C61—41no—
489C22×C4×C61—41no—
490C22×C4×C61—41no—
491C22×C4×C61—41no—
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C22×C4×C61C2411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C22×C4×C61C2411yescharacteristic
504C22×C4×C61C2411yescharacteristic
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C22×C4×C61C2411yescharacteristic
508C22×C4×C61C2411yescharacteristic
509C22×C4×C61C2411yescharacteristic
510C22×C4×C61C2411yescharacteristic
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
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—22no—
522C4⋊C4×C61—22no—
523C4⋊C4×C61—22no—
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×C61—41no—
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×C61—41no—
589C22⋊C4×C61—41no—
590C22⋊C4×C61—41no—
591C22⋊C4×C61—41no—
592C22⋊C4×C61—41no—
593C22⋊C4×C61—41no—
594C22⋊C4×C61—41no—
595C22⋊C4×C61#4114yes—
596C42×C61—22no—
597C42×C61—22no—
598C42×C61—41no—
599C42×C61—41no—
600C42×C61—41no—
601C42×C61—41no—
602C42×C61—41no—
603C42×C61—41no—
604C42×C61—41no—
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—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—44no—
660C23×C61—82no—
661C23×C61—82no—
662C23×C61—82no—
663C23×C61—82no—
664C23×C61—82no—
665C23×C61—82no—
666C23×C61C2×#4112yes—
667C23×C61H(5,𝔽2)12yes—
668C23×C61C2511yescharacteristic
669D4×C61—44no—
670D4×C61—44no—
671D4×C61—44no—
672D4×C61—44no—
673D4×C61—82no—
674D4×C61—82no—
675D4×C61—82no—
676D4×C61—82no—
677D4×C61—82no—
678D4×C61—82no—
679D4×C61—82no—
680D4×C61—82no—
681D4×C61—82no—
682D4×C61—82no—
683D4×C61—82no—
684D4×C61—82no—
685D4×C61—82no—
686D4×C61—82no—
687D4×C61—82no—
688D4×C61—82no—
689D4×C61—82no—
690D4×C61—82no—
691D4×C61—82no—
692D4×C61—82no—
693D4×C61—82no—
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—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—44no—
758C2×C4×C61—44no—
759C2×C4×C61—44no—
760C2×C4×C61—82no—
761C2×C4×C61—82no—
762C2×C4×C61—82no—
763C2×C4×C61—82no—
764C2×C4×C61—82no—
765C2×C4×C61—82no—
766C2×C4×C61C2×#4112yes—
767C2×C4×C61C2×#4112yes—
768C2×C4×C61H(5,𝔽2)12yes—
769C2×C4×C61H(5,𝔽2)12yes—
770C2×C4×C61H(5,𝔽2)12yes—
771C2×C4×C61H(5,𝔽2)12yes—
772#36909C6111yesmaximal, characteristic, direct product factor, Sylow
773C22×C61—22no—
774C22×C61—22no—
775C22×C61—22no—
776C22×C61—22no—
777C22×C61—22no—
778C22×C61—22no—
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×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—88no—
830C22×C61C22×#4111yescharacteristic
831C22×C61C2×H(5,𝔽2)11yescharacteristic
832C22×C61C2×H(5,𝔽2)11yescharacteristic
833C22×C61C2×H(5,𝔽2)11yescharacteristic
834C22×C61C2×H(5,𝔽2)11yescharacteristic
835C22×C61C2×H(5,𝔽2)11yescharacteristic
836C22×C61#58511yescharacteristic
837C4×C61—22no—
838C4×C61—22no—
839C4×C61—22no—
840C4×C61—22no—
841C4×C61—22no—
842C4×C61—22no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860#2856C2×C6111yescharacteristic, complemented
861#2853C2×C6111yescharacteristic, complemented
862#2800C2×C6111yescharacteristic, complemented
863#2795C2×C6111yescharacteristic, complemented
864#2790C2×C6111yescharacteristic, complemented
865#2714C2×C6111yescharacteristic, complemented
866#2703C2×C6111yescharacteristic, complemented
867#2701C2×C6111yescharacteristic, complemented
868#2699C2×C6111yescharacteristic, complemented
869#2691C2×C6111yescharacteristic, complemented
870#2688C2×C6111yescharacteristic, complemented
871#2678C2×C6111yescharacteristic, complemented
872#2678C2×C6111yescharacteristic, complemented
873#2675C2×C6111yescharacteristic, complemented
874#2673C2×C6111yescharacteristic, complemented
875#2673C2×C6111yescharacteristic, complemented
876#2669C2×C6111yescharacteristic, complemented
877#2669C2×C6111yescharacteristic, complemented
878#2661C2×C6111yescharacteristic, complemented
879#2648C2×C6111yescharacteristic, complemented
880#2597C2×C6111yescharacteristic, complemented
881#2554C2×C6111yescharacteristic, complemented
882#2464C2×C6111yescharacteristic, complemented
883#2456C2×C6111yescharacteristic, complemented
884#2456C2×C6111yescharacteristic, complemented
885#2428C2×C6111yescharacteristic, complemented
886#2424C2×C6111yescharacteristic, complemented
887#2424C2×C6111yescharacteristic, complemented
888#2333C2×C6111yescharacteristic, complemented
889#2321C2×C6111yescharacteristic, complemented
890C4×#121C2×C6111yescharacteristic, complemented
891C2×C61—42no—
892C2×C61—42no—
893C2×C61—81no—
894C2×C61—81no—
895C2×C61—81no—
896C2×C61—81no—
897C2×C61—81no—
898C2×C61—81no—
899C2×C61#346011yescharacteristic
900C2×C61#351911yescharacteristic
901C2×C61#351911yescharacteristic
902C2×C61#353411yescharacteristic
903C2×C61#353711yescharacteristic
904C2×C61#354311yescharacteristic
905C2×C61#354611yescharacteristic
906C2×#127C22×C6111yescharacteristic
907C2×#127C22×C6111yescharacteristic
908C2×#126C22×C6111yescharacteristic, complemented
909C2×#123C22×C6111yescharacteristic
910C2×#123C22×C6111yescharacteristic
911C2×#123C22×C6111yescharacteristic, complemented
912C2×#123C22×C6111yescharacteristic, complemented
913C2×#121C22×C6111yescharacteristic
914C2×#121C22×C6111yescharacteristic
915C2×#121C22×C6111yescharacteristic
916C2×#121C22×C6111yescharacteristic
917C2×#121C22×C6111yescharacteristic
918C2×#121C22×C6111yescharacteristic
919C2×#121C22×C6111yescharacteristic
920C2×#121C22×C6111yescharacteristic
921C2×#121C22×C6111yescharacteristic
922C2×#121C22×C6111yescharacteristic
923C2×#121C22×C6111yescharacteristic, complemented
924C2×#121C22×C6111yescharacteristic, complemented
925C2×#121C22×C6111yescharacteristic, complemented
926C2×#121C22×C6111yescharacteristic, complemented
927C2×#121C22×C6111yescharacteristic, complemented
928C2×#120C22×C6111yescharacteristic
929C2×#120C22×C6111yescharacteristic
930C2×#120C22×C6111yescharacteristic
931C2×#120C22×C6111yescharacteristic
932C2×#120C22×C6111yescharacteristic
933C2×C4×D4C22×C6111yescharacteristic
934C2×C4×D4C22×C6111yescharacteristic
935C2×C4×D4C22×C6111yescharacteristic
936C2×C4×D4C22×C6111yescharacteristic, complemented
937C22×C22⋊C4C22×C6111yescharacteristic
938C22×C42C22×C6111yescharacteristic, complemented
939#400C22×C6111yescharacteristic, complemented
940#400C22×C6111yescharacteristic, complemented
941#398C22×C6111yescharacteristic, complemented
942#398C22×C6111yescharacteristic, complemented
943#398C22×C6111yescharacteristic, complemented
944#397C22×C6111yescharacteristic
945#397C22×C6111yescharacteristic
946#397C22×C6111yescharacteristic, complemented
947#397C22×C6111yescharacteristic, complemented
948#397C22×C6111yescharacteristic, complemented
949#396C22×C6111yescharacteristic
950#396C22×C6111yescharacteristic
951#396C22×C6111yescharacteristic
952#396C22×C6111yescharacteristic
953#396C22×C6111yescharacteristic, complemented
954#396C22×C6111yescharacteristic, complemented
955#394C22×C6111yescharacteristic
956#394C22×C6111yescharacteristic
957#394C22×C6111yescharacteristic
958#394C22×C6111yescharacteristic
959#394C22×C6111yescharacteristic
960#394C22×C6111yescharacteristic
961#394C22×C6111yescharacteristic
962#394C22×C6111yescharacteristic
963#394C22×C6111yescharacteristic
964#394C22×C6111yescharacteristic
965#394C22×C6111yescharacteristic
966#394C22×C6111yescharacteristic
967#394C22×C6111yescharacteristic, complemented
968#394C22×C6111yescharacteristic, complemented
969#394C22×C6111yescharacteristic, complemented
970#392C22×C6111yescharacteristic
971#392C22×C6111yescharacteristic
972#392C22×C6111yescharacteristic
973#392C22×C6111yescharacteristic
974#392C22×C6111yescharacteristic
975#392C22×C6111yescharacteristic
976#392C22×C6111yescharacteristic
977#392C22×C6111yescharacteristic
978#392C22×C6111yescharacteristic
979#392C22×C6111yescharacteristic
980#392C22×C6111yescharacteristic
981#392C22×C6111yescharacteristic
982#392C22×C6111yescharacteristic
983#392C22×C6111yescharacteristic
984#392C22×C6111yescharacteristic, complemented
985#392C22×C6111yescharacteristic, complemented
986#392C22×C6111yescharacteristic, complemented
987#390C22×C6111yescharacteristic
988#390C22×C6111yescharacteristic
989#390C22×C6111yescharacteristic
990#390C22×C6111yescharacteristic
991#390C22×C6111yescharacteristic
992#390C22×C6111yescharacteristic
993#390C22×C6111yescharacteristic
994#390C22×C6111yescharacteristic
995#390C22×C6111yescharacteristic, complemented
996#390C22×C6111yescharacteristic, complemented
997#390C22×C6111yescharacteristic, complemented
998#390C22×C6111yescharacteristic, complemented
999#389C22×C6111yescharacteristic, complemented
1000#389C22×C6111yescharacteristic, complemented
1001#388C22×C6111yescharacteristic
1002#388C22×C6111yescharacteristic
1003#388C22×C6111yescharacteristic
1004#388C22×C6111yescharacteristic
1005#388C22×C6111yescharacteristic
1006#388C22×C6111yescharacteristic
1007#388C22×C6111yescharacteristic
1008#388C22×C6111yescharacteristic
1009#388C22×C6111yescharacteristic
1010#388C22×C6111yescharacteristic
1011#388C22×C6111yescharacteristic
1012#388C22×C6111yescharacteristic
1013#388C22×C6111yescharacteristic, complemented
1014#388C22×C6111yescharacteristic, complemented
1015#388C22×C6111yescharacteristic, complemented
1016#388C22×C6111yescharacteristic, complemented
1017#388C22×C6111yescharacteristic, complemented
1018#388C22×C6111yescharacteristic, complemented
1019#388C22×C6111yescharacteristic, complemented
1020#387C22×C6111yescharacteristic, complemented
1021#387C22×C6111yescharacteristic, complemented
1022#387C22×C6111yescharacteristic, complemented
1023#387C22×C6111yescharacteristic, complemented
1024#387C22×C6111yescharacteristic, complemented
1025#387C22×C6111yescharacteristic, complemented
1026#387C22×C6111yescharacteristic, complemented
1027#386C22×C6111yescharacteristic
1028#386C22×C6111yescharacteristic
1029#386C22×C6111yescharacteristic
1030#386C22×C6111yescharacteristic
1031#386C22×C6111yescharacteristic
1032#386C22×C6111yescharacteristic
1033#386C22×C6111yescharacteristic
1034#386C22×C6111yescharacteristic
1035#386C22×C6111yescharacteristic
1036#386C22×C6111yescharacteristic
1037#386C22×C6111yescharacteristic
1038#386C22×C6111yescharacteristic, complemented
1039#386C22×C6111yescharacteristic, complemented
1040#386C22×C6111yescharacteristic, complemented
1041#386C22×C6111yescharacteristic, complemented
1042#386C22×C6111yescharacteristic, complemented
1043#386C22×C6111yescharacteristic, complemented
1044#385C22×C6111yescharacteristic
1045#385C22×C6111yescharacteristic
1046#385C22×C6111yescharacteristic
1047#385C22×C6111yescharacteristic, complemented
1048#385C22×C6111yescharacteristic, complemented
1049#385C22×C6111yescharacteristic, complemented
1050#385C22×C6111yescharacteristic, complemented
1051#384C22×C6111yescharacteristic, complemented
1052#381C22×C6111yescharacteristic, complemented
1053#381C22×C6111yescharacteristic, complemented
1054#380C22×C6111yescharacteristic, complemented
1055#379C22×C6111yescharacteristic
1056C4×C4⋊C4C22×C6111yescharacteristic, complemented
1057C4×C22⋊C4C22×C6111yescharacteristic
1058C4×C22⋊C4C22×C6111yescharacteristic, complemented
1059C4×C22⋊C4C22×C6111yescharacteristic, complemented
1060C4×C22⋊C4C22×C6111yescharacteristic, complemented
1061C61#3690911yescharacteristic, direct product factor, Sylow
1062C25C23×C6111yescharacteristic
1063C22×D4C23×C6111yescharacteristic
1064C22×D4C23×C6111yescharacteristic
1065C22×D4C23×C6111yescharacteristic
1066C22×D4C23×C6111yescharacteristic
1067C22×D4C23×C6111yescharacteristic
1068C22×D4C23×C6111yescharacteristic
1069C22×D4C23×C6111yescharacteristic
1070C22×D4C23×C6111yescharacteristic
1071C22×D4C23×C6111yescharacteristic
1072C22×D4C23×C6111yescharacteristic
1073C22×D4C23×C6111yescharacteristic
1074C22×D4C23×C6111yescharacteristic
1075C22×D4C23×C6111yescharacteristic
1076C22×D4C23×C6111yescharacteristic
1077C22×D4C23×C6111yescharacteristic
1078C22×D4C23×C6111yescharacteristic
1079C22×D4C23×C6111yescharacteristic
1080C22×D4C23×C6111yescharacteristic
1081C22×D4C23×C6111yescharacteristic
1082C22×D4C23×C6111yescharacteristic
1083C22×D4C23×C6111yescharacteristic
1084C22×D4C23×C6111yescharacteristic
1085C22×D4C23×C6111yescharacteristic
1086C22×D4C23×C6111yescharacteristic
1087C22×D4C23×C6111yescharacteristic
1088C23×C4C23×C6111yescharacteristic
1089C23×C4C23×C6111yescharacteristic
1090C23×C4C23×C6111yescharacteristic
1091C23×C4C23×C6111yescharacteristic
1092C23×C4C23×C6111yescharacteristic
1093C23×C4C23×C6111yescharacteristic
1094C23×C4C23×C6111yescharacteristic
1095C23×C4C23×C6111yescharacteristic
1096C23×C4C23×C6111yescharacteristic
1097#127—42no—
1098#127—42no—
1099#126—42no—
1100#123—42no—
1101#123—42no—
1102#123—42no—
1103#123—42no—
1104#121—24no—
1105#121—24no—
1106#121—42no—
1107#121—42no—
1108#121—42no—
1109#121—42no—
1110#121—42no—
1111#121—42no—
1112#121—42no—
1113#121—42no—
1114#121—42no—
1115#121—42no—
1116#121—42no—
1117#121—42no—
1118#121—42no—
1119#120—24no—
1120#120—42no—
1121#120—42no—
1122#120—42no—
1123#120—42no—
1124C4×D4—42no—
1125C4×D4—42no—
1126C4×D4—42no—
1127C4×D4—42no—
1128C2×C4⋊C4C23×C6111yescharacteristic
1129C2×C4⋊C4C23×C6111yescharacteristic
1130C2×C4⋊C4C23×C6111yescharacteristic
1131C2×C4⋊C4C23×C6111yescharacteristic
1132C2×C4⋊C4C23×C6111yescharacteristic
1133C2×C4⋊C4C23×C6111yescharacteristic
1134C2×C4⋊C4C23×C6111yescharacteristic
1135C2×C4⋊C4C23×C6111yescharacteristic
1136C2×C4⋊C4C23×C6111yescharacteristic
1137C2×C4⋊C4C23×C6111yescharacteristic
1138C2×C4⋊C4C23×C6111yescharacteristic
1139C2×C4⋊C4C23×C6111yescharacteristic
1140C2×C4⋊C4C23×C6111yescharacteristic
1141C2×C4⋊C4C23×C6111yescharacteristic
1142C2×C4⋊C4C23×C6111yescharacteristic
1143C2×C4⋊C4C23×C6111yescharacteristic
1144C2×C4⋊C4C23×C6111yescharacteristic
1145C2×C4⋊C4C23×C6111yescharacteristic
1146C2×C4⋊C4C23×C6111yescharacteristic
1147C2×C4⋊C4C23×C6111yescharacteristic
1148C2×C4⋊C4C23×C6111yescharacteristic
1149C2×C4⋊C4C23×C6111yescharacteristic
1150C2×C4⋊C4C23×C6111yescharacteristic
1151C2×C22⋊C4—42no—
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×C22⋊C4C23×C6111yescharacteristic
1183C2×C22⋊C4C23×C6111yescharacteristic
1184C2×C22⋊C4C23×C6111yescharacteristic
1185C2×C22⋊C4C23×C6111yescharacteristic
1186C2×C22⋊C4C23×C6111yescharacteristic
1187C2×C22⋊C4C23×C6111yescharacteristic
1188C2×C22⋊C4C23×C6111yescharacteristic
1189C2×C22⋊C4C23×C6111yescharacteristic
1190C2×C22⋊C4C23×C6111yescharacteristic
1191C2×C22⋊C4C23×C6111yescharacteristic
1192C2×C22⋊C4C23×C6111yescharacteristic
1193C2×C22⋊C4C23×C6111yescharacteristic
1194C2×C22⋊C4C23×C6111yescharacteristic
1195C2×C22⋊C4C23×C6111yescharacteristic
1196C2×C22⋊C4C23×C6111yescharacteristic
1197C2×C22⋊C4C23×C6111yescharacteristic
1198C2×C22⋊C4C23×C6111yescharacteristic
1199C2×C22⋊C4C23×C6111yescharacteristic
1200C2×C22⋊C4C23×C6111yescharacteristic
1201C2×C22⋊C4C23×C6111yescharacteristic
1202C2×C22⋊C4C23×C6111yescharacteristic
1203C2×C22⋊C4C23×C6111yescharacteristic
1204C2×C22⋊C4C23×C6111yescharacteristic
1205C2×C22⋊C4C23×C6111yescharacteristic
1206C2×C22⋊C4C23×C6111yescharacteristic
1207C2×C22⋊C4C23×C6111yescharacteristic
1208C2×C22⋊C4C23×C6111yescharacteristic
1209C2×C22⋊C4C23×C6111yescharacteristic
1210C2×C42—42no—
1211C2×C42C23×C6111yescharacteristic
1212C2×C42C23×C6111yescharacteristic
1213C2×C42C23×C6111yescharacteristic
1214C2×C42C23×C6111yescharacteristic
1215C2×C42C23×C6111yescharacteristic
1216C2×C42C23×C6111yescharacteristic
1217C2×C42C23×C6111yescharacteristic
1218C2×C42C23×C6111yescharacteristic
1219C2×C42C23×C6111yescharacteristic
1220#95C23×C6111yescharacteristic
1221#95C23×C6111yescharacteristic
1222#95C23×C6111yescharacteristic
1223#95C23×C6111yescharacteristic
1224#95C23×C6111yescharacteristic
1225#95C23×C6111yescharacteristic
1226#95C23×C6111yescharacteristic
1227#95C23×C6111yescharacteristic
1228#95C23×C6111yescharacteristic
1229#95C23×C6111yescharacteristic
1230#95C23×C6111yescharacteristic
1231#95C23×C6111yescharacteristic
1232#95C23×C6111yescharacteristic
1233#95C23×C6111yescharacteristic
1234#95C23×C6111yescharacteristic
1235#95C23×C6111yescharacteristic
1236#95C23×C6111yescharacteristic
1237#95C23×C6111yescharacteristic
1238#95C23×C6111yescharacteristic
1239#95C23×C6111yescharacteristic
1240#95C23×C6111yescharacteristic
1241#95C23×C6111yescharacteristic
1242#95C23×C6111yescharacteristic
1243#95C23×C6111yescharacteristic
1244#95C23×C6111yescharacteristic
1245#95C23×C6111yescharacteristic
1246#95C23×C6111yescharacteristic
1247#95C23×C6111yescharacteristic
1248#95C23×C6111yescharacteristic
1249#95C23×C6111yescharacteristic
1250C24—22no—
1251C24—41no—
1252C24—41no—
1253C24—41no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24C24×C6111yescharacteristic
1258C24C24×C6111yescharacteristic
1259C24C24×C6111yescharacteristic
1260C24C24×C6111yescharacteristic
1261C24C24×C6111yescharacteristic
1262C24C24×C6111yescharacteristic
1263C24C24×C6111yescharacteristic
1264C24C24×C6111yescharacteristic
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—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×C4C24×C6111yescharacteristic
1368C22×C4C24×C6111yescharacteristic
1369C22×C4C24×C6111yescharacteristic
1370C22×C4C24×C6111yescharacteristic
1371C22×C4C24×C6111yescharacteristic
1372C22×C4C24×C6111yescharacteristic
1373C22×C4C24×C6111yescharacteristic
1374C22×C4C24×C6111yescharacteristic
1375C22×C4C24×C6111yescharacteristic
1376C22×C4C24×C6111yescharacteristic
1377C22×C4C24×C6111yescharacteristic
1378C22×C4C24×C6111yescharacteristic
1379C22×C4C24×C6111yescharacteristic
1380C22×C4C24×C6111yescharacteristic
1381C22×C4C24×C6111yescharacteristic
1382C22×C4C24×C6111yescharacteristic
1383C22×C4C24×C6111yescharacteristic
1384C22×C4C24×C6111yescharacteristic
1385C22×C4C24×C6111yescharacteristic
1386C22×C4C24×C6111yescharacteristic
1387C22×C4C24×C6111yescharacteristic
1388C22×C4C24×C6111yescharacteristic
1389C22×C4C24×C6111yescharacteristic
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4#41×C6114yes—
1471C42—22no—
1472C42—22no—
1473C42—41no—
1474C42—41no—
1475C42—41no—
1476C42—41no—
1477C42—41no—
1478C42—41no—
1479C42—41no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—44no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23C2×#41×C6112yes—
1542C23H(5,𝔽2)×C6112yes—
1543C23C25×C6111yescharacteristic
1544D4—44no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—82no—
1549D4—82no—
1550D4—82no—
1551D4—82no—
1552D4—82no—
1553D4—82no—
1554D4—82no—
1555D4—82no—
1556D4—82no—
1557D4—82no—
1558D4—82no—
1559D4—82no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—82no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—82no—
1639C2×C4—82no—
1640C2×C4—82no—
1641C2×C4C2×#41×C6112yes—
1642C2×C4C2×#41×C6112yes—
1643C2×C4H(5,𝔽2)×C6112yes—
1644C2×C4H(5,𝔽2)×C6112yes—
1645C2×C4H(5,𝔽2)×C6112yes—
1646C2×C4H(5,𝔽2)×C6112yes—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—88no—
1704C22C22×#41×C6111yescharacteristic
1705C22C2×H(5,𝔽2)×C6111yescharacteristic
1706C22C2×H(5,𝔽2)×C6111yescharacteristic
1707C22C2×H(5,𝔽2)×C6111yescharacteristic
1708C22C2×H(5,𝔽2)×C6111yescharacteristic
1709C22C2×H(5,𝔽2)×C6111yescharacteristic
1710C22C61×#58511yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C2—42no—
1735C2—42no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2—81no—
1741C2—81no—
1742C2C61×#346011yescharacteristic
1743C2C61×#351911yescharacteristic
1744C2C61×#351911yescharacteristic
1745C2C61×#353411yescharacteristic
1746C2C61×#353711yescharacteristic
1747C2C61×#354311yescharacteristic
1748C2C61×#354611yescharacteristic
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. C61×#2856C2semidirect
2. C61×#2853C2semidirect
3. C61×#2800C2semidirect
4. C61×#2795C2semidirect
5. C61×#2790C2semidirect
6. C61×#2714C2semidirect
7. C61×#2703C2semidirect
8. C61×#2701C2semidirect
9. C61×#2699C2semidirect
10. C61×#2691C2semidirect
11. C61×#2688C2semidirect
12. C61×#2678C2semidirect
13. C61×#2678C2semidirect
14. C61×#2675C2semidirect
15. C61×#2673C2semidirect
16. C61×#2673C2semidirect
17. C61×#2669C2semidirect
18. C61×#2669C2semidirect
19. C61×#2661C2semidirect
20. C61×#2648C2semidirect
21. C61×#2597C2semidirect
22. C61×#2554C2semidirect
23. C61×#2464C2semidirect
24. C61×#2456C2semidirect
25. C61×#2456C2semidirect
26. C61×#2428C2semidirect
27. C61×#2424C2semidirect
28. C61×#2424C2semidirect
29. C61×#2333C2semidirect
30. C61×#2321C2semidirect
31. C4×#121×C61C2semidirect
34. C2×#126×C61C22semidirect
37. C2×#123×C61C22semidirect
38. C2×#123×C61C22semidirect
49. C2×#121×C61C22semidirect
50. C2×#121×C61C22semidirect
51. C2×#121×C61C22semidirect
52. C2×#121×C61C22semidirect
53. C2×#121×C61C22semidirect
62. C2×C4×D4×C61C22semidirect
64. C22×C42×C61C22semidirect
65. C61×#400C22semidirect
66. C61×#400C22semidirect
67. C61×#398C22semidirect
68. C61×#398C22semidirect
69. C61×#398C22semidirect
72. C61×#397C22semidirect
73. C61×#397C22semidirect
74. C61×#397C22semidirect
79. C61×#396C22semidirect
80. C61×#396C22semidirect
93. C61×#394C22semidirect
94. C61×#394C22semidirect
95. C61×#394C22semidirect
110. C61×#392C22semidirect
111. C61×#392C22semidirect
112. C61×#392C22semidirect
121. C61×#390C22semidirect
122. C61×#390C22semidirect
123. C61×#390C22semidirect
124. C61×#390C22semidirect
125. C61×#389C22semidirect
126. C61×#389C22semidirect
139. C61×#388C22semidirect
140. C61×#388C22semidirect
141. C61×#388C22semidirect
142. C61×#388C22semidirect
143. C61×#388C22semidirect
144. C61×#388C22semidirect
145. C61×#388C22semidirect
146. C61×#387C22semidirect
147. C61×#387C22semidirect
148. C61×#387C22semidirect
149. C61×#387C22semidirect
150. C61×#387C22semidirect
151. C61×#387C22semidirect
152. C61×#387C22semidirect
164. C61×#386C22semidirect
165. C61×#386C22semidirect
166. C61×#386C22semidirect
167. C61×#386C22semidirect
168. C61×#386C22semidirect
169. C61×#386C22semidirect
173. C61×#385C22semidirect
174. C61×#385C22semidirect
175. C61×#385C22semidirect
176. C61×#385C22semidirect
177. C61×#384C22semidirect
178. C61×#381C22semidirect
179. C61×#381C22semidirect
180. C61×#380C22semidirect
182. C4×C4⋊C4×C61C22semidirect
184. C4×C22⋊C4×C61C22semidirect
185. C4×C22⋊C4×C61C22semidirect
186. C4×C22⋊C4×C61C22semidirect
772. #36909C61direct (N × H)
860. #2856C2×C61semidirect
861. #2853C2×C61semidirect
862. #2800C2×C61semidirect
863. #2795C2×C61semidirect
864. #2790C2×C61semidirect
865. #2714C2×C61semidirect
866. #2703C2×C61semidirect
867. #2701C2×C61semidirect
868. #2699C2×C61semidirect
869. #2691C2×C61semidirect
870. #2688C2×C61semidirect
871. #2678C2×C61semidirect
872. #2678C2×C61semidirect
873. #2675C2×C61semidirect
874. #2673C2×C61semidirect
875. #2673C2×C61semidirect
876. #2669C2×C61semidirect
877. #2669C2×C61semidirect
878. #2661C2×C61semidirect
879. #2648C2×C61semidirect
880. #2597C2×C61semidirect
881. #2554C2×C61semidirect
882. #2464C2×C61semidirect
883. #2456C2×C61semidirect
884. #2456C2×C61semidirect
885. #2428C2×C61semidirect
886. #2424C2×C61semidirect
887. #2424C2×C61semidirect
888. #2333C2×C61semidirect
889. #2321C2×C61semidirect
890. C4×#121C2×C61semidirect
908. C2×#126C22×C61semidirect
911. C2×#123C22×C61semidirect
912. C2×#123C22×C61semidirect
923. C2×#121C22×C61semidirect
924. C2×#121C22×C61semidirect
925. C2×#121C22×C61semidirect
926. C2×#121C22×C61semidirect
927. C2×#121C22×C61semidirect
936. C2×C4×D4C22×C61semidirect
938. C22×C42C22×C61semidirect
939. #400C22×C61semidirect
940. #400C22×C61semidirect
941. #398C22×C61semidirect
942. #398C22×C61semidirect
943. #398C22×C61semidirect
946. #397C22×C61semidirect
947. #397C22×C61semidirect
948. #397C22×C61semidirect
953. #396C22×C61semidirect
954. #396C22×C61semidirect
967. #394C22×C61semidirect
968. #394C22×C61semidirect
969. #394C22×C61semidirect
984. #392C22×C61semidirect
985. #392C22×C61semidirect
986. #392C22×C61semidirect
995. #390C22×C61semidirect
996. #390C22×C61semidirect
997. #390C22×C61semidirect
998. #390C22×C61semidirect
999. #389C22×C61semidirect
1000. #389C22×C61semidirect
1013. #388C22×C61semidirect
1014. #388C22×C61semidirect
1015. #388C22×C61semidirect
1016. #388C22×C61semidirect
1017. #388C22×C61semidirect
1018. #388C22×C61semidirect
1019. #388C22×C61semidirect
1020. #387C22×C61semidirect
1021. #387C22×C61semidirect
1022. #387C22×C61semidirect
1023. #387C22×C61semidirect
1024. #387C22×C61semidirect
1025. #387C22×C61semidirect
1026. #387C22×C61semidirect
1038. #386C22×C61semidirect
1039. #386C22×C61semidirect
1040. #386C22×C61semidirect
1041. #386C22×C61semidirect
1042. #386C22×C61semidirect
1043. #386C22×C61semidirect
1047. #385C22×C61semidirect
1048. #385C22×C61semidirect
1049. #385C22×C61semidirect
1050. #385C22×C61semidirect
1051. #384C22×C61semidirect
1052. #381C22×C61semidirect
1053. #381C22×C61semidirect
1054. #380C22×C61semidirect
1056. C4×C4⋊C4C22×C61semidirect
1058. C4×C22⋊C4C22×C61semidirect
1059. C4×C22⋊C4C22×C61semidirect
1060. C4×C22⋊C4C22×C61semidirect
1061. C61#36909direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#28562
C61×#28532
C61×#28002
C61×#27952
C61×#27902
C61×#27142
C61×#27032
C61×#27012
C61×#26992
C61×#26912
C61×#26882
C61×#26782
C61×#26752
C61×#26732
C61×#26692
C61×#26612
C61×#26482
C61×#25972
C61×#25542
C61×#24642
C61×#24562
C61×#24282
C61×#24242
C61×#23332
C61×#23212
C4×#121×C612
#3690961