Finite Group Databasebeta

← C61×#36856 #29540289

Subgroups — C61×#36856 #29540289

Order 15616.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#2849C211yesmaximal, characteristic, complemented
2C61×#2847C211yesmaximal, characteristic, complemented
3C61×#2797C211yesmaximal, characteristic, complemented
4C61×#2782C211yesmaximal, characteristic, complemented
5C61×#2780C211yesmaximal, characteristic, complemented
6C61×#2750C211yesmaximal, characteristic, complemented
7C61×#2744C211yesmaximal, characteristic, complemented
8C61×#2708C211yesmaximal, characteristic, complemented
9C61×#2697C211yesmaximal, characteristic, complemented
10C61×#2693C211yesmaximal, characteristic, complemented
11C61×#2693C211yesmaximal, characteristic, complemented
12C61×#2688C211yesmaximal, characteristic, complemented
13C61×#2688C211yesmaximal, characteristic, complemented
14C61×#2682C211yesmaximal, characteristic, complemented
15C61×#2678C211yesmaximal, characteristic, complemented
16C61×#2673C211yesmaximal, characteristic, complemented
17C61×#2669C211yesmaximal, characteristic, complemented
18C61×#2668C211yesmaximal, characteristic, complemented
19C61×#2649C211yesmaximal, characteristic, complemented
20C61×#2648C211yesmaximal, characteristic, complemented
21C61×#2530C211yesmaximal, characteristic, complemented
22C61×#2526C211yesmaximal, characteristic, complemented
23C61×#2464C211yesmaximal, characteristic, complemented
24C61×#2457C211yesmaximal, characteristic, complemented
25C61×#2456C211yesmaximal, characteristic, complemented
26C61×#2456C211yesmaximal, characteristic, complemented
27C61×#2444C211yesmaximal, characteristic, complemented
28C61×#2425C211yesmaximal, characteristic, complemented
29C61×#2328C211yesmaximal, characteristic, complemented
30C61×#2325C211yesmaximal, characteristic, complemented
31C4×#120×C61C211yesmaximal, characteristic, complemented
32C24×C4×C61C2211yescharacteristic
33C2×#127×C61C2211yescharacteristic
34C2×#123×C61C2211yescharacteristic
35C2×#123×C61C2211yescharacteristic
36C2×#123×C61C2211yescharacteristic
37C2×#123×C61C2211yescharacteristic
38C2×#123×C61C2211yescharacteristic, complemented
39C2×#123×C61C2211yescharacteristic, complemented
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×#120×C61C2211yescharacteristic
49C2×#120×C61C2211yescharacteristic
50C2×#120×C61C2211yescharacteristic
51C2×#120×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic, complemented
56C2×C4×D4×C61C2211yescharacteristic, complemented
57C61×#400C2211yescharacteristic, complemented
58C61×#400C2211yescharacteristic, complemented
59C61×#400C2211yescharacteristic, complemented
60C61×#400C2211yescharacteristic, complemented
61C61×#400C2211yescharacteristic, complemented
62C61×#400C2211yescharacteristic, complemented
63C61×#400C2211yescharacteristic, complemented
64C61×#400C2211yescharacteristic, complemented
65C61×#399C2211yescharacteristic
66C61×#398C2211yescharacteristic, complemented
67C61×#398C2211yescharacteristic, complemented
68C61×#397C2211yescharacteristic
69C61×#397C2211yescharacteristic
70C61×#397C2211yescharacteristic
71C61×#397C2211yescharacteristic
72C61×#397C2211yescharacteristic
73C61×#397C2211yescharacteristic, complemented
74C61×#397C2211yescharacteristic, complemented
75C61×#397C2211yescharacteristic, complemented
76C61×#397C2211yescharacteristic, complemented
77C61×#397C2211yescharacteristic, complemented
78C61×#396C2211yescharacteristic
79C61×#396C2211yescharacteristic
80C61×#396C2211yescharacteristic
81C61×#396C2211yescharacteristic, complemented
82C61×#396C2211yescharacteristic, complemented
83C61×#396C2211yescharacteristic, complemented
84C61×#396C2211yescharacteristic, complemented
85C61×#394C2211yescharacteristic
86C61×#394C2211yescharacteristic
87C61×#394C2211yescharacteristic
88C61×#394C2211yescharacteristic
89C61×#394C2211yescharacteristic
90C61×#394C2211yescharacteristic
91C61×#394C2211yescharacteristic
92C61×#394C2211yescharacteristic
93C61×#394C2211yescharacteristic, complemented
94C61×#394C2211yescharacteristic, complemented
95C61×#392C2211yescharacteristic
96C61×#392C2211yescharacteristic
97C61×#392C2211yescharacteristic
98C61×#392C2211yescharacteristic
99C61×#392C2211yescharacteristic
100C61×#392C2211yescharacteristic
101C61×#392C2211yescharacteristic
102C61×#392C2211yescharacteristic, complemented
103C61×#392C2211yescharacteristic, complemented
104C61×#392C2211yescharacteristic, complemented
105C61×#390C2211yescharacteristic
106C61×#390C2211yescharacteristic
107C61×#390C2211yescharacteristic
108C61×#390C2211yescharacteristic, complemented
109C61×#390C2211yescharacteristic, complemented
110C61×#389C2211yescharacteristic, complemented
111C61×#389C2211yescharacteristic, complemented
112C61×#388C2211yescharacteristic
113C61×#388C2211yescharacteristic
114C61×#388C2211yescharacteristic
115C61×#388C2211yescharacteristic
116C61×#388C2211yescharacteristic
117C61×#388C2211yescharacteristic, complemented
118C61×#388C2211yescharacteristic, complemented
119C61×#388C2211yescharacteristic, complemented
120C61×#388C2211yescharacteristic, complemented
121C61×#388C2211yescharacteristic, complemented
122C61×#388C2211yescharacteristic, complemented
123C61×#388C2211yescharacteristic, complemented
124C61×#387C2211yescharacteristic, complemented
125C61×#387C2211yescharacteristic, complemented
126C61×#387C2211yescharacteristic, complemented
127C61×#387C2211yescharacteristic, complemented
128C61×#387C2211yescharacteristic, complemented
129C61×#387C2211yescharacteristic, complemented
130C61×#387C2211yescharacteristic, complemented
131C61×#386C2211yescharacteristic
132C61×#386C2211yescharacteristic
133C61×#386C2211yescharacteristic
134C61×#386C2211yescharacteristic
135C61×#386C2211yescharacteristic
136C61×#386C2211yescharacteristic
137C61×#386C2211yescharacteristic
138C61×#386C2211yescharacteristic
139C61×#386C2211yescharacteristic
140C61×#386C2211yescharacteristic
141C61×#386C2211yescharacteristic
142C61×#386C2211yescharacteristic
143C61×#386C2211yescharacteristic
144C61×#386C2211yescharacteristic
145C61×#386C2211yescharacteristic
146C61×#386C2211yescharacteristic
147C61×#386C2211yescharacteristic
148C61×#386C2211yescharacteristic
149C61×#386C2211yescharacteristic
150C61×#386C2211yescharacteristic
151C61×#386C2211yescharacteristic
152C61×#386C2211yescharacteristic, complemented
153C61×#386C2211yescharacteristic, complemented
154C61×#386C2211yescharacteristic, complemented
155C61×#386C2211yescharacteristic, complemented
156C61×#386C2211yescharacteristic, complemented
157C61×#386C2211yescharacteristic, complemented
158C61×#386C2211yescharacteristic, complemented
159C61×#385C2211yescharacteristic
160C61×#385C2211yescharacteristic
161C61×#385C2211yescharacteristic
162C61×#385C2211yescharacteristic
163C61×#385C2211yescharacteristic
164C61×#385C2211yescharacteristic
165C61×#385C2211yescharacteristic
166C61×#385C2211yescharacteristic, complemented
167C61×#385C2211yescharacteristic, complemented
168C61×#385C2211yescharacteristic, complemented
169C61×#385C2211yescharacteristic, complemented
170C61×#385C2211yescharacteristic, complemented
171C61×#382C2211yescharacteristic, complemented
172C61×#381C2211yescharacteristic
173C61×#381C2211yescharacteristic
174C61×#381C2211yescharacteristic, complemented
175C61×#380C2211yescharacteristic
176C61×#380C2211yescharacteristic
177C61×#380C2211yescharacteristic
178C61×#380C2211yescharacteristic, complemented
179C61×#380C2211yescharacteristic, complemented
180C61×#379C2211yescharacteristic
181C61×#379C2211yescharacteristic
182C4×C22⋊C4×C61C2211yescharacteristic
183C4×C22⋊C4×C61C2211yescharacteristic
184C4×C22⋊C4×C61C2211yescharacteristic
185C61×#376C2211yescharacteristic, complemented
186C2×#95×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
206C23×C4×C61—42no—
207C23×C4×C61—42no—
208C23×C4×C61—42no—
209C23×C4×C61C2311yescharacteristic
210C23×C4×C61C2311yescharacteristic
211C23×C4×C61C2311yescharacteristic
212C23×C4×C61C2311yescharacteristic
213C23×C4×C61C2311yescharacteristic
214C23×C4×C61C2311yescharacteristic
215C23×C4×C61C2311yescharacteristic
216C23×C4×C61C2311yescharacteristic
217C23×C4×C61C2311yescharacteristic
218C23×C4×C61C2311yescharacteristic
219C23×C4×C61C2311yescharacteristic
220C23×C4×C61C2311yescharacteristic
221#127×C61—24no—
222#123×C61—42no—
223#123×C61—42no—
224#123×C61—42no—
225#123×C61—42no—
226#123×C61—42no—
227#123×C61—42no—
228#121×C61—24no—
229#121×C61—42no—
230#121×C61—42no—
231#121×C61—42no—
232#121×C61—42no—
233#121×C61—42no—
234#121×C61—42no—
235#121×C61—42no—
236#120×C61—24no—
237#120×C61—42no—
238#120×C61—42no—
239#120×C61—42no—
240C4×D4×C61—42no—
241C4×D4×C61—42no—
242C4×D4×C61—42no—
243C4×D4×C61—42no—
244C4×D4×C61—42no—
245C2×C4⋊C4×C61C2311yescharacteristic
246C2×C4⋊C4×C61C2311yescharacteristic
247C2×C4⋊C4×C61C2311yescharacteristic
248C2×C4⋊C4×C61C2311yescharacteristic
249C2×C4⋊C4×C61C2311yescharacteristic
250C2×C4⋊C4×C61C2311yescharacteristic
251C2×C4⋊C4×C61C2311yescharacteristic
252C2×C4⋊C4×C61C2311yescharacteristic
253C2×C4⋊C4×C61C2311yescharacteristic
254C2×C4⋊C4×C61C2311yescharacteristic
255C2×C4⋊C4×C61C2311yescharacteristic
256C2×C4⋊C4×C61C2311yescharacteristic
257C2×C4⋊C4×C61C2311yescharacteristic
258C2×C4⋊C4×C61C2311yescharacteristic
259C2×C4⋊C4×C61C2311yescharacteristic
260C2×C4⋊C4×C61C2311yescharacteristic
261C2×C4⋊C4×C61C2311yescharacteristic
262C2×C4⋊C4×C61C2311yescharacteristic
263C2×C4⋊C4×C61C2311yescharacteristic
264C2×C4⋊C4×C61C2311yescharacteristic
265C2×C4⋊C4×C61C2311yescharacteristic
266C2×C4⋊C4×C61C2311yescharacteristic
267C2×C4⋊C4×C61C2311yescharacteristic
268C2×C4⋊C4×C61C2311yescharacteristic
269C2×C22⋊C4×C61C2311yescharacteristic
270C2×C22⋊C4×C61C2311yescharacteristic
271C2×C22⋊C4×C61C2311yescharacteristic
272C2×C22⋊C4×C61C2311yescharacteristic
273C2×C22⋊C4×C61C2311yescharacteristic
274C2×C22⋊C4×C61C2311yescharacteristic
275C2×C22⋊C4×C61C2311yescharacteristic
276C2×C22⋊C4×C61C2311yescharacteristic
277C2×C22⋊C4×C61C2311yescharacteristic
278C2×C22⋊C4×C61C2311yescharacteristic
279C2×C22⋊C4×C61C2311yescharacteristic
280C2×C22⋊C4×C61C2311yescharacteristic
281C2×C22⋊C4×C61C2311yescharacteristic
282C2×C22⋊C4×C61C2311yescharacteristic
283C2×C22⋊C4×C61C2311yescharacteristic
284C2×C22⋊C4×C61C2311yescharacteristic
285C2×C22⋊C4×C61C2311yescharacteristic
286C2×C22⋊C4×C61C2311yescharacteristic
287C2×C22⋊C4×C61C2311yescharacteristic
288C2×C22⋊C4×C61C2311yescharacteristic
289C2×C22⋊C4×C61C2311yescharacteristic
290C2×C22⋊C4×C61C2311yescharacteristic
291C2×C22⋊C4×C61C2311yescharacteristic
292C2×C22⋊C4×C61C2311yescharacteristic
293C2×C22⋊C4×C61C2311yescharacteristic
294C2×C22⋊C4×C61C2311yescharacteristic
295C2×C22⋊C4×C61C2311yescharacteristic
296C2×C22⋊C4×C61C2311yescharacteristic
297C2×C22⋊C4×C61C2311yescharacteristic
298C2×C22⋊C4×C61C2311yescharacteristic
299C2×C22⋊C4×C61C2311yescharacteristic
300C2×C22⋊C4×C61C2311yescharacteristic
301C2×C22⋊C4×C61C2311yescharacteristic
302C2×C22⋊C4×C61C2311yescharacteristic
303C2×C22⋊C4×C61C2311yescharacteristic
304C2×C22⋊C4×C61C2311yescharacteristic
305C2×C22⋊C4×C61C2311yescharacteristic
306C2×C22⋊C4×C61C2311yescharacteristic
307C2×C22⋊C4×C61C2311yescharacteristic
308C2×C22⋊C4×C61C2311yescharacteristic
309C2×C22⋊C4×C61C2311yescharacteristic
310C2×C22⋊C4×C61C2311yescharacteristic
311C2×C22⋊C4×C61C2311yescharacteristic
312C2×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×C42×C61C2311yescharacteristic
324C2×C42×C61C2311yescharacteristic
325C2×C42×C61C2311yescharacteristic
326C2×C42×C61C2311yescharacteristic
327C2×C42×C61C2311yescharacteristic
328C2×C42×C61C2311yescharacteristic
329#95×C61C2311yescharacteristic
330#95×C61C2311yescharacteristic
331#95×C61C2311yescharacteristic
332#95×C61C2311yescharacteristic
333#95×C61C2311yescharacteristic
334#95×C61C2311yescharacteristic
335#95×C61C2311yescharacteristic
336#95×C61C2311yescharacteristic
337#95×C61C2311yescharacteristic
338#95×C61C2311yescharacteristic
339#95×C61C2311yescharacteristic
340#95×C61C2311yescharacteristic
341#95×C61C2311yescharacteristic
342#95×C61C2311yescharacteristic
343#95×C61C2311yescharacteristic
344#95×C61C2311yescharacteristic
345#95×C61C2311yescharacteristic
346#95×C61C2311yescharacteristic
347#95×C61C2311yescharacteristic
348#95×C61C2311yescharacteristic
349#95×C61C2311yescharacteristic
350#95×C61C2311yescharacteristic
351#95×C61C2311yescharacteristic
352#95×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—22no—
372C24×C61—41no—
373C24×C61—41no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C24×C61C2411yescharacteristic
380C24×C61C2411yescharacteristic
381C24×C61C2411yescharacteristic
382C24×C61C2411yescharacteristic
383C2×D4×C61—22no—
384C2×D4×C61—22no—
385C2×D4×C61—22no—
386C2×D4×C61—22no—
387C2×D4×C61—22no—
388C2×D4×C61—22no—
389C2×D4×C61—22no—
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—41no—
402C2×D4×C61—41no—
403C2×D4×C61—41no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C2×D4×C61—41no—
407C2×D4×C61—41no—
408C2×D4×C61—41no—
409C2×D4×C61—41no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—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#4114yes—
437C22×C4×C61—22no—
438C22×C4×C61—22no—
439C22×C4×C61—22no—
440C22×C4×C61—22no—
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—41no—
448C22×C4×C61—41no—
449C22×C4×C61—41no—
450C22×C4×C61—41no—
451C22×C4×C61—41no—
452C22×C4×C61—41no—
453C22×C4×C61—41no—
454C22×C4×C61—41no—
455C22×C4×C61—41no—
456C22×C4×C61—41no—
457C22×C4×C61—41no—
458C22×C4×C61—41no—
459C22×C4×C61—41no—
460C22×C4×C61—41no—
461C22×C4×C61—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—41no—
473C22×C4×C61—416no—
474C22×C4×C61C2411yescharacteristic
475C22×C4×C61C2411yescharacteristic
476C22×C4×C61C2411yescharacteristic
477C22×C4×C61C2411yescharacteristic
478C22×C4×C61C2411yescharacteristic
479C22×C4×C61C2411yescharacteristic
480C22×C4×C61C2411yescharacteristic
481C22×C4×C61C2411yescharacteristic
482C22×C4×C61C2411yescharacteristic
483C22×C4×C61C2411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C22×C4×C61C2411yescharacteristic
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
498C4⋊C4×C61—22no—
499C4⋊C4×C61—22no—
500C4⋊C4×C61—22no—
501C4⋊C4×C61—22no—
502C4⋊C4×C61—22no—
503C4⋊C4×C61—41no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61—41no—
506C4⋊C4×C61—41no—
507C4⋊C4×C61—41no—
508C4⋊C4×C61—41no—
509C4⋊C4×C61—41no—
510C4⋊C4×C61—41no—
511C4⋊C4×C61—41no—
512C4⋊C4×C61—41no—
513C4⋊C4×C61—41no—
514C4⋊C4×C61—41no—
515C4⋊C4×C61—41no—
516C4⋊C4×C61—41no—
517C4⋊C4×C61—41no—
518C4⋊C4×C61—41no—
519C4⋊C4×C61—41no—
520C4⋊C4×C61—41no—
521C4⋊C4×C61—41no—
522C22⋊C4×C61—22no—
523C22⋊C4×C61—22no—
524C22⋊C4×C61—22no—
525C22⋊C4×C61—22no—
526C22⋊C4×C61—22no—
527C22⋊C4×C61—22no—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61—41no—
556C22⋊C4×C61—41no—
557C22⋊C4×C61—41no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61—41no—
562C22⋊C4×C61—41no—
563C22⋊C4×C61—41no—
564C22⋊C4×C61—41no—
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—
576C42×C61—22no—
577C42×C61—22no—
578C42×C61—41no—
579C42×C61—41no—
580C42×C61—41no—
581C42×C61—41no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—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—44no—
628C23×C61—44no—
629C23×C61—44no—
630C23×C61—44no—
631C23×C61—44no—
632C23×C61—44no—
633C23×C61—44no—
634C23×C61C2×#4112yes—
635C23×C61C2×#4112yes—
636C23×C61H(5,𝔽2)12yes—
637C23×C61H(5,𝔽2)12yes—
638C23×C61C2511yescharacteristic
639D4×C61—44no—
640D4×C61—44no—
641D4×C61—44no—
642D4×C61—44no—
643D4×C61—44no—
644D4×C61—82no—
645D4×C61—82no—
646D4×C61—82no—
647D4×C61—82no—
648D4×C61—82no—
649D4×C61—82no—
650D4×C61—82no—
651D4×C61—82no—
652D4×C61—82no—
653D4×C61—82no—
654D4×C61—82no—
655D4×C61—82no—
656D4×C61—82no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—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—44no—
727C2×C4×C61—44no—
728C2×C4×C61—44no—
729C2×C4×C61—44no—
730C2×C4×C61—44no—
731C2×C4×C61—44no—
732C2×C4×C61—82no—
733C2×C4×C61—82no—
734C2×C4×C61—82no—
735C2×C4×C61—82no—
736C2×C4×C61—82no—
737C2×C4×C61—82no—
738C2×C4×C61C2×#4112yes—
739C2×C4×C61H(5,𝔽2)12yes—
740C2×C4×C61H(5,𝔽2)12yes—
741#36856C6111yesmaximal, characteristic, direct product factor, Sylow
742C22×C61—22no—
743C22×C61—22no—
744C22×C61—22no—
745C22×C61—22no—
746C22×C61—22no—
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—416no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—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×C61—41no—
792C22×C61C22×#4111yescharacteristic
793C22×C61C2×H(5,𝔽2)11yescharacteristic
794C22×C61C2×H(5,𝔽2)11yescharacteristic
795C22×C61C2×H(5,𝔽2)11yescharacteristic
796C22×C61C2×H(5,𝔽2)11yescharacteristic
797C22×C61#58511yescharacteristic
798C22×C61#58511yescharacteristic
799C4×C61—22no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—41no—
803C4×C61—41no—
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—
823#2849C2×C6111yescharacteristic, complemented
824#2847C2×C6111yescharacteristic, complemented
825#2797C2×C6111yescharacteristic, complemented
826#2782C2×C6111yescharacteristic, complemented
827#2780C2×C6111yescharacteristic, complemented
828#2750C2×C6111yescharacteristic, complemented
829#2744C2×C6111yescharacteristic, complemented
830#2708C2×C6111yescharacteristic, complemented
831#2697C2×C6111yescharacteristic, complemented
832#2693C2×C6111yescharacteristic, complemented
833#2693C2×C6111yescharacteristic, complemented
834#2688C2×C6111yescharacteristic, complemented
835#2688C2×C6111yescharacteristic, complemented
836#2682C2×C6111yescharacteristic, complemented
837#2678C2×C6111yescharacteristic, complemented
838#2673C2×C6111yescharacteristic, complemented
839#2669C2×C6111yescharacteristic, complemented
840#2668C2×C6111yescharacteristic, complemented
841#2649C2×C6111yescharacteristic, complemented
842#2648C2×C6111yescharacteristic, complemented
843#2530C2×C6111yescharacteristic, complemented
844#2526C2×C6111yescharacteristic, complemented
845#2464C2×C6111yescharacteristic, complemented
846#2457C2×C6111yescharacteristic, complemented
847#2456C2×C6111yescharacteristic, complemented
848#2456C2×C6111yescharacteristic, complemented
849#2444C2×C6111yescharacteristic, complemented
850#2425C2×C6111yescharacteristic, complemented
851#2328C2×C6111yescharacteristic, complemented
852#2325C2×C6111yescharacteristic, complemented
853C4×#120C2×C6111yescharacteristic, complemented
854C2×C61—42no—
855C2×C61—42no—
856C2×C61—42no—
857C2×C61—42no—
858C2×C61—81no—
859C2×C61—81no—
860C2×C61—81no—
861C2×C61#345911yescharacteristic
862C2×C61#351311yescharacteristic
863C2×C61#351911yescharacteristic
864C2×C61#353211yescharacteristic
865C2×C61#353411yescharacteristic
866C2×C61#353911yescharacteristic
867C2×C61#354211yescharacteristic
868C24×C4C22×C6111yescharacteristic
869C2×#127C22×C6111yescharacteristic
870C2×#123C22×C6111yescharacteristic
871C2×#123C22×C6111yescharacteristic
872C2×#123C22×C6111yescharacteristic
873C2×#123C22×C6111yescharacteristic
874C2×#123C22×C6111yescharacteristic, complemented
875C2×#123C22×C6111yescharacteristic, complemented
876C2×#121C22×C6111yescharacteristic
877C2×#121C22×C6111yescharacteristic
878C2×#121C22×C6111yescharacteristic
879C2×#121C22×C6111yescharacteristic
880C2×#121C22×C6111yescharacteristic
881C2×#121C22×C6111yescharacteristic
882C2×#121C22×C6111yescharacteristic
883C2×#121C22×C6111yescharacteristic
884C2×#120C22×C6111yescharacteristic
885C2×#120C22×C6111yescharacteristic
886C2×#120C22×C6111yescharacteristic
887C2×#120C22×C6111yescharacteristic
888C2×C4×D4C22×C6111yescharacteristic
889C2×C4×D4C22×C6111yescharacteristic
890C2×C4×D4C22×C6111yescharacteristic
891C2×C4×D4C22×C6111yescharacteristic, complemented
892C2×C4×D4C22×C6111yescharacteristic, complemented
893#400C22×C6111yescharacteristic, complemented
894#400C22×C6111yescharacteristic, complemented
895#400C22×C6111yescharacteristic, complemented
896#400C22×C6111yescharacteristic, complemented
897#400C22×C6111yescharacteristic, complemented
898#400C22×C6111yescharacteristic, complemented
899#400C22×C6111yescharacteristic, complemented
900#400C22×C6111yescharacteristic, complemented
901#399C22×C6111yescharacteristic
902#398C22×C6111yescharacteristic, complemented
903#398C22×C6111yescharacteristic, complemented
904#397C22×C6111yescharacteristic
905#397C22×C6111yescharacteristic
906#397C22×C6111yescharacteristic
907#397C22×C6111yescharacteristic
908#397C22×C6111yescharacteristic
909#397C22×C6111yescharacteristic, complemented
910#397C22×C6111yescharacteristic, complemented
911#397C22×C6111yescharacteristic, complemented
912#397C22×C6111yescharacteristic, complemented
913#397C22×C6111yescharacteristic, complemented
914#396C22×C6111yescharacteristic
915#396C22×C6111yescharacteristic
916#396C22×C6111yescharacteristic
917#396C22×C6111yescharacteristic, complemented
918#396C22×C6111yescharacteristic, complemented
919#396C22×C6111yescharacteristic, complemented
920#396C22×C6111yescharacteristic, complemented
921#394C22×C6111yescharacteristic
922#394C22×C6111yescharacteristic
923#394C22×C6111yescharacteristic
924#394C22×C6111yescharacteristic
925#394C22×C6111yescharacteristic
926#394C22×C6111yescharacteristic
927#394C22×C6111yescharacteristic
928#394C22×C6111yescharacteristic
929#394C22×C6111yescharacteristic, complemented
930#394C22×C6111yescharacteristic, complemented
931#392C22×C6111yescharacteristic
932#392C22×C6111yescharacteristic
933#392C22×C6111yescharacteristic
934#392C22×C6111yescharacteristic
935#392C22×C6111yescharacteristic
936#392C22×C6111yescharacteristic
937#392C22×C6111yescharacteristic
938#392C22×C6111yescharacteristic, complemented
939#392C22×C6111yescharacteristic, complemented
940#392C22×C6111yescharacteristic, complemented
941#390C22×C6111yescharacteristic
942#390C22×C6111yescharacteristic
943#390C22×C6111yescharacteristic
944#390C22×C6111yescharacteristic, complemented
945#390C22×C6111yescharacteristic, complemented
946#389C22×C6111yescharacteristic, complemented
947#389C22×C6111yescharacteristic, complemented
948#388C22×C6111yescharacteristic
949#388C22×C6111yescharacteristic
950#388C22×C6111yescharacteristic
951#388C22×C6111yescharacteristic
952#388C22×C6111yescharacteristic
953#388C22×C6111yescharacteristic, complemented
954#388C22×C6111yescharacteristic, complemented
955#388C22×C6111yescharacteristic, complemented
956#388C22×C6111yescharacteristic, complemented
957#388C22×C6111yescharacteristic, complemented
958#388C22×C6111yescharacteristic, complemented
959#388C22×C6111yescharacteristic, complemented
960#387C22×C6111yescharacteristic, complemented
961#387C22×C6111yescharacteristic, complemented
962#387C22×C6111yescharacteristic, complemented
963#387C22×C6111yescharacteristic, complemented
964#387C22×C6111yescharacteristic, complemented
965#387C22×C6111yescharacteristic, complemented
966#387C22×C6111yescharacteristic, complemented
967#386C22×C6111yescharacteristic
968#386C22×C6111yescharacteristic
969#386C22×C6111yescharacteristic
970#386C22×C6111yescharacteristic
971#386C22×C6111yescharacteristic
972#386C22×C6111yescharacteristic
973#386C22×C6111yescharacteristic
974#386C22×C6111yescharacteristic
975#386C22×C6111yescharacteristic
976#386C22×C6111yescharacteristic
977#386C22×C6111yescharacteristic
978#386C22×C6111yescharacteristic
979#386C22×C6111yescharacteristic
980#386C22×C6111yescharacteristic
981#386C22×C6111yescharacteristic
982#386C22×C6111yescharacteristic
983#386C22×C6111yescharacteristic
984#386C22×C6111yescharacteristic
985#386C22×C6111yescharacteristic
986#386C22×C6111yescharacteristic
987#386C22×C6111yescharacteristic
988#386C22×C6111yescharacteristic, complemented
989#386C22×C6111yescharacteristic, complemented
990#386C22×C6111yescharacteristic, complemented
991#386C22×C6111yescharacteristic, complemented
992#386C22×C6111yescharacteristic, complemented
993#386C22×C6111yescharacteristic, complemented
994#386C22×C6111yescharacteristic, complemented
995#385C22×C6111yescharacteristic
996#385C22×C6111yescharacteristic
997#385C22×C6111yescharacteristic
998#385C22×C6111yescharacteristic
999#385C22×C6111yescharacteristic
1000#385C22×C6111yescharacteristic
1001#385C22×C6111yescharacteristic
1002#385C22×C6111yescharacteristic, complemented
1003#385C22×C6111yescharacteristic, complemented
1004#385C22×C6111yescharacteristic, complemented
1005#385C22×C6111yescharacteristic, complemented
1006#385C22×C6111yescharacteristic, complemented
1007#382C22×C6111yescharacteristic, complemented
1008#381C22×C6111yescharacteristic
1009#381C22×C6111yescharacteristic
1010#381C22×C6111yescharacteristic, complemented
1011#380C22×C6111yescharacteristic
1012#380C22×C6111yescharacteristic
1013#380C22×C6111yescharacteristic
1014#380C22×C6111yescharacteristic, complemented
1015#380C22×C6111yescharacteristic, complemented
1016#379C22×C6111yescharacteristic
1017#379C22×C6111yescharacteristic
1018C4×C22⋊C4C22×C6111yescharacteristic
1019C4×C22⋊C4C22×C6111yescharacteristic
1020C4×C22⋊C4C22×C6111yescharacteristic
1021#376C22×C6111yescharacteristic, complemented
1022C2×#95C22×C6111yescharacteristic, complemented
1023C61#3685611yescharacteristic, direct product factor, Sylow
1024C25C23×C6111yescharacteristic
1025C22×D4C23×C6111yescharacteristic
1026C22×D4C23×C6111yescharacteristic
1027C22×D4C23×C6111yescharacteristic
1028C22×D4C23×C6111yescharacteristic
1029C22×D4C23×C6111yescharacteristic
1030C22×D4C23×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—42no—
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
1057C23×C4C23×C6111yescharacteristic
1058#127—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#123—42no—
1063#123—42no—
1064#123—42no—
1065#121—24no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#120—24no—
1074#120—42no—
1075#120—42no—
1076#120—42no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
1082C2×C4⋊C4C23×C6111yescharacteristic
1083C2×C4⋊C4C23×C6111yescharacteristic
1084C2×C4⋊C4C23×C6111yescharacteristic
1085C2×C4⋊C4C23×C6111yescharacteristic
1086C2×C4⋊C4C23×C6111yescharacteristic
1087C2×C4⋊C4C23×C6111yescharacteristic
1088C2×C4⋊C4C23×C6111yescharacteristic
1089C2×C4⋊C4C23×C6111yescharacteristic
1090C2×C4⋊C4C23×C6111yescharacteristic
1091C2×C4⋊C4C23×C6111yescharacteristic
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×C22⋊C4C23×C6111yescharacteristic
1107C2×C22⋊C4C23×C6111yescharacteristic
1108C2×C22⋊C4C23×C6111yescharacteristic
1109C2×C22⋊C4C23×C6111yescharacteristic
1110C2×C22⋊C4C23×C6111yescharacteristic
1111C2×C22⋊C4C23×C6111yescharacteristic
1112C2×C22⋊C4C23×C6111yescharacteristic
1113C2×C22⋊C4C23×C6111yescharacteristic
1114C2×C22⋊C4C23×C6111yescharacteristic
1115C2×C22⋊C4C23×C6111yescharacteristic
1116C2×C22⋊C4C23×C6111yescharacteristic
1117C2×C22⋊C4C23×C6111yescharacteristic
1118C2×C22⋊C4C23×C6111yescharacteristic
1119C2×C22⋊C4C23×C6111yescharacteristic
1120C2×C22⋊C4C23×C6111yescharacteristic
1121C2×C22⋊C4C23×C6111yescharacteristic
1122C2×C22⋊C4C23×C6111yescharacteristic
1123C2×C22⋊C4C23×C6111yescharacteristic
1124C2×C22⋊C4C23×C6111yescharacteristic
1125C2×C22⋊C4C23×C6111yescharacteristic
1126C2×C22⋊C4C23×C6111yescharacteristic
1127C2×C22⋊C4C23×C6111yescharacteristic
1128C2×C22⋊C4C23×C6111yescharacteristic
1129C2×C22⋊C4C23×C6111yescharacteristic
1130C2×C22⋊C4C23×C6111yescharacteristic
1131C2×C22⋊C4C23×C6111yescharacteristic
1132C2×C22⋊C4C23×C6111yescharacteristic
1133C2×C22⋊C4C23×C6111yescharacteristic
1134C2×C22⋊C4C23×C6111yescharacteristic
1135C2×C22⋊C4C23×C6111yescharacteristic
1136C2×C22⋊C4C23×C6111yescharacteristic
1137C2×C22⋊C4C23×C6111yescharacteristic
1138C2×C22⋊C4C23×C6111yescharacteristic
1139C2×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×C42C23×C6111yescharacteristic
1161C2×C42C23×C6111yescharacteristic
1162C2×C42C23×C6111yescharacteristic
1163C2×C42C23×C6111yescharacteristic
1164C2×C42C23×C6111yescharacteristic
1165C2×C42C23×C6111yescharacteristic
1166#95C23×C6111yescharacteristic
1167#95C23×C6111yescharacteristic
1168#95C23×C6111yescharacteristic
1169#95C23×C6111yescharacteristic
1170#95C23×C6111yescharacteristic
1171#95C23×C6111yescharacteristic
1172#95C23×C6111yescharacteristic
1173#95C23×C6111yescharacteristic
1174#95C23×C6111yescharacteristic
1175#95C23×C6111yescharacteristic
1176#95C23×C6111yescharacteristic
1177#95C23×C6111yescharacteristic
1178#95C23×C6111yescharacteristic
1179#95C23×C6111yescharacteristic
1180#95C23×C6111yescharacteristic
1181#95C23×C6111yescharacteristic
1182#95C23×C6111yescharacteristic
1183#95C23×C6111yescharacteristic
1184#95C23×C6111yescharacteristic
1185#95C23×C6111yescharacteristic
1186#95C23×C6111yescharacteristic
1187#95C23×C6111yescharacteristic
1188#95C23×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
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C6111yescharacteristic
1214C24C24×C6111yescharacteristic
1215C24C24×C6111yescharacteristic
1216C24C24×C6111yescharacteristic
1217C24C24×C6111yescharacteristic
1218C24C24×C6111yescharacteristic
1219C24C24×C6111yescharacteristic
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
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#41×C6114yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—416no—
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
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
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—
1413C42—22no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
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—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×#41×C6112yes—
1472C23C2×#41×C6112yes—
1473C23H(5,𝔽2)×C6112yes—
1474C23H(5,𝔽2)×C6112yes—
1475C23C25×C6111yescharacteristic
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—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—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4C2×#41×C6112yes—
1576C2×C4H(5,𝔽2)×C6112yes—
1577C2×C4H(5,𝔽2)×C6112yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
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—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C6111yescharacteristic
1629C22C2×H(5,𝔽2)×C6111yescharacteristic
1630C22C2×H(5,𝔽2)×C6111yescharacteristic
1631C22C2×H(5,𝔽2)×C6111yescharacteristic
1632C22C2×H(5,𝔽2)×C6111yescharacteristic
1633C22C61×#58511yescharacteristic
1634C22C61×#58511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
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—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C61×#345911yescharacteristic
1667C2C61×#351311yescharacteristic
1668C2C61×#351911yescharacteristic
1669C2C61×#353211yescharacteristic
1670C2C61×#353411yescharacteristic
1671C2C61×#353911yescharacteristic
1672C2C61×#354211yescharacteristic
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×#2849C2semidirect
2. C61×#2847C2semidirect
3. C61×#2797C2semidirect
4. C61×#2782C2semidirect
5. C61×#2780C2semidirect
6. C61×#2750C2semidirect
7. C61×#2744C2semidirect
8. C61×#2708C2semidirect
9. C61×#2697C2semidirect
10. C61×#2693C2semidirect
11. C61×#2693C2semidirect
12. C61×#2688C2semidirect
13. C61×#2688C2semidirect
14. C61×#2682C2semidirect
15. C61×#2678C2semidirect
16. C61×#2673C2semidirect
17. C61×#2669C2semidirect
18. C61×#2668C2semidirect
19. C61×#2649C2semidirect
20. C61×#2648C2semidirect
21. C61×#2530C2semidirect
22. C61×#2526C2semidirect
23. C61×#2464C2semidirect
24. C61×#2457C2semidirect
25. C61×#2456C2semidirect
26. C61×#2456C2semidirect
27. C61×#2444C2semidirect
28. C61×#2425C2semidirect
29. C61×#2328C2semidirect
30. C61×#2325C2semidirect
31. C4×#120×C61C2semidirect
38. C2×#123×C61C22semidirect
39. C2×#123×C61C22semidirect
55. C2×C4×D4×C61C22semidirect
56. C2×C4×D4×C61C22semidirect
57. C61×#400C22semidirect
58. C61×#400C22semidirect
59. C61×#400C22semidirect
60. C61×#400C22semidirect
61. C61×#400C22semidirect
62. C61×#400C22semidirect
63. C61×#400C22semidirect
64. C61×#400C22semidirect
66. C61×#398C22semidirect
67. C61×#398C22semidirect
73. C61×#397C22semidirect
74. C61×#397C22semidirect
75. C61×#397C22semidirect
76. C61×#397C22semidirect
77. C61×#397C22semidirect
81. C61×#396C22semidirect
82. C61×#396C22semidirect
83. C61×#396C22semidirect
84. C61×#396C22semidirect
93. C61×#394C22semidirect
94. C61×#394C22semidirect
102. C61×#392C22semidirect
103. C61×#392C22semidirect
104. C61×#392C22semidirect
108. C61×#390C22semidirect
109. C61×#390C22semidirect
110. C61×#389C22semidirect
111. C61×#389C22semidirect
117. C61×#388C22semidirect
118. C61×#388C22semidirect
119. C61×#388C22semidirect
120. C61×#388C22semidirect
121. C61×#388C22semidirect
122. C61×#388C22semidirect
123. C61×#388C22semidirect
124. C61×#387C22semidirect
125. C61×#387C22semidirect
126. C61×#387C22semidirect
127. C61×#387C22semidirect
128. C61×#387C22semidirect
129. C61×#387C22semidirect
130. C61×#387C22semidirect
152. C61×#386C22semidirect
153. C61×#386C22semidirect
154. C61×#386C22semidirect
155. C61×#386C22semidirect
156. C61×#386C22semidirect
157. C61×#386C22semidirect
158. C61×#386C22semidirect
166. C61×#385C22semidirect
167. C61×#385C22semidirect
168. C61×#385C22semidirect
169. C61×#385C22semidirect
170. C61×#385C22semidirect
171. C61×#382C22semidirect
174. C61×#381C22semidirect
178. C61×#380C22semidirect
179. C61×#380C22semidirect
185. C61×#376C22semidirect
186. C2×#95×C61C22semidirect
741. #36856C61direct (N × H)
823. #2849C2×C61semidirect
824. #2847C2×C61semidirect
825. #2797C2×C61semidirect
826. #2782C2×C61semidirect
827. #2780C2×C61semidirect
828. #2750C2×C61semidirect
829. #2744C2×C61semidirect
830. #2708C2×C61semidirect
831. #2697C2×C61semidirect
832. #2693C2×C61semidirect
833. #2693C2×C61semidirect
834. #2688C2×C61semidirect
835. #2688C2×C61semidirect
836. #2682C2×C61semidirect
837. #2678C2×C61semidirect
838. #2673C2×C61semidirect
839. #2669C2×C61semidirect
840. #2668C2×C61semidirect
841. #2649C2×C61semidirect
842. #2648C2×C61semidirect
843. #2530C2×C61semidirect
844. #2526C2×C61semidirect
845. #2464C2×C61semidirect
846. #2457C2×C61semidirect
847. #2456C2×C61semidirect
848. #2456C2×C61semidirect
849. #2444C2×C61semidirect
850. #2425C2×C61semidirect
851. #2328C2×C61semidirect
852. #2325C2×C61semidirect
853. C4×#120C2×C61semidirect
874. C2×#123C22×C61semidirect
875. C2×#123C22×C61semidirect
891. C2×C4×D4C22×C61semidirect
892. C2×C4×D4C22×C61semidirect
893. #400C22×C61semidirect
894. #400C22×C61semidirect
895. #400C22×C61semidirect
896. #400C22×C61semidirect
897. #400C22×C61semidirect
898. #400C22×C61semidirect
899. #400C22×C61semidirect
900. #400C22×C61semidirect
902. #398C22×C61semidirect
903. #398C22×C61semidirect
909. #397C22×C61semidirect
910. #397C22×C61semidirect
911. #397C22×C61semidirect
912. #397C22×C61semidirect
913. #397C22×C61semidirect
917. #396C22×C61semidirect
918. #396C22×C61semidirect
919. #396C22×C61semidirect
920. #396C22×C61semidirect
929. #394C22×C61semidirect
930. #394C22×C61semidirect
938. #392C22×C61semidirect
939. #392C22×C61semidirect
940. #392C22×C61semidirect
944. #390C22×C61semidirect
945. #390C22×C61semidirect
946. #389C22×C61semidirect
947. #389C22×C61semidirect
953. #388C22×C61semidirect
954. #388C22×C61semidirect
955. #388C22×C61semidirect
956. #388C22×C61semidirect
957. #388C22×C61semidirect
958. #388C22×C61semidirect
959. #388C22×C61semidirect
960. #387C22×C61semidirect
961. #387C22×C61semidirect
962. #387C22×C61semidirect
963. #387C22×C61semidirect
964. #387C22×C61semidirect
965. #387C22×C61semidirect
966. #387C22×C61semidirect
988. #386C22×C61semidirect
989. #386C22×C61semidirect
990. #386C22×C61semidirect
991. #386C22×C61semidirect
992. #386C22×C61semidirect
993. #386C22×C61semidirect
994. #386C22×C61semidirect
1002. #385C22×C61semidirect
1003. #385C22×C61semidirect
1004. #385C22×C61semidirect
1005. #385C22×C61semidirect
1006. #385C22×C61semidirect
1007. #382C22×C61semidirect
1010. #381C22×C61semidirect
1014. #380C22×C61semidirect
1015. #380C22×C61semidirect
1021. #376C22×C61semidirect
1022. C2×#95C22×C61semidirect
1023. C61#36856direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#28492
C61×#28472
C61×#27972
C61×#27822
C61×#27802
C61×#27502
C61×#27442
C61×#27082
C61×#26972
C61×#26932
C61×#26882
C61×#26822
C61×#26782
C61×#26732
C61×#26692
C61×#26682
C61×#26492
C61×#26482
C61×#25302
C61×#25262
C61×#24642
C61×#24572
C61×#24562
C61×#24442
C61×#24252
C61×#23282
C61×#23252
C4×#120×C612
#3685661