Finite Group Databasebeta

← C61×#36794 #29540227

Subgroups — C61×#36794 #29540227

Order 15616.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 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×#2786C211yesmaximal, characteristic, complemented
5C61×#2756C211yesmaximal, characteristic, complemented
6C61×#2753C211yesmaximal, characteristic, complemented
7C61×#2752C211yesmaximal, characteristic, complemented
8C61×#2749C211yesmaximal, characteristic, complemented
9C61×#2740C211yesmaximal, characteristic, complemented
10C61×#2709C211yesmaximal, characteristic, complemented
11C61×#2709C211yesmaximal, characteristic, complemented
12C61×#2706C211yesmaximal, characteristic, complemented
13C61×#2703C211yesmaximal, characteristic, complemented
14C61×#2699C211yesmaximal, characteristic, complemented
15C61×#2688C211yesmaximal, characteristic, complemented
16C61×#2673C211yesmaximal, characteristic, complemented
17C61×#2673C211yesmaximal, characteristic, complemented
18C61×#2671C211yesmaximal, characteristic, complemented
19C61×#2622C211yesmaximal, characteristic, complemented
20C61×#2617C211yesmaximal, characteristic, complemented
21C61×#2569C211yesmaximal, characteristic, complemented
22C61×#2543C211yesmaximal, characteristic, complemented
23C61×#2433C211yesmaximal, characteristic, complemented
24C61×#2424C211yesmaximal, characteristic, complemented
25C61×#2424C211yesmaximal, characteristic, complemented
26C61×#2418C211yesmaximal, characteristic, complemented
27C61×#2418C211yesmaximal, characteristic, complemented
28C61×#2408C211yesmaximal, characteristic, complemented
29C61×#2325C211yesmaximal, characteristic, complemented
30C61×#2318C211yesmaximal, characteristic, complemented
31C2×C61×#386C211yesmaximal, characteristic, complemented
32C23×D4×C61C2211yescharacteristic
33C24×C4×C61C2211yescharacteristic
34C2×#127×C61C2211yescharacteristic
35C2×#127×C61C2211yescharacteristic
36C2×#123×C61C2211yescharacteristic, complemented
37C2×#123×C61C2211yescharacteristic, complemented
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, complemented
46C2×#121×C61C2211yescharacteristic, complemented
47C2×#121×C61C2211yescharacteristic, complemented
48C2×#121×C61C2211yescharacteristic, complemented
49C2×#120×C61C2211yescharacteristic
50C2×#120×C61C2211yescharacteristic
51C2×#120×C61C2211yescharacteristic
52C2×#120×C61C2211yescharacteristic
53C2×#120×C61C2211yescharacteristic
54C2×#120×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C2×C4×D4×C61C2211yescharacteristic
58C22×C22⋊C4×C61C2211yescharacteristic
59C22×C22⋊C4×C61C2211yescharacteristic
60C22×C22⋊C4×C61C2211yescharacteristic
61C61×#400C2211yescharacteristic, complemented
62C61×#400C2211yescharacteristic, complemented
63C61×#399C2211yescharacteristic, complemented
64C61×#399C2211yescharacteristic, complemented
65C61×#398C2211yescharacteristic, complemented
66C61×#398C2211yescharacteristic, complemented
67C61×#398C2211yescharacteristic, complemented
68C61×#397C2211yescharacteristic, complemented
69C61×#397C2211yescharacteristic, complemented
70C61×#397C2211yescharacteristic, complemented
71C61×#397C2211yescharacteristic, complemented
72C61×#397C2211yescharacteristic, complemented
73C61×#397C2211yescharacteristic, complemented
74C61×#397C2211yescharacteristic, complemented
75C61×#397C2211yescharacteristic, complemented
76C61×#397C2211yescharacteristic, complemented
77C61×#396C2211yescharacteristic, complemented
78C61×#396C2211yescharacteristic, complemented
79C61×#394C2211yescharacteristic
80C61×#394C2211yescharacteristic
81C61×#394C2211yescharacteristic, complemented
82C61×#394C2211yescharacteristic, complemented
83C61×#394C2211yescharacteristic, complemented
84C61×#394C2211yescharacteristic, complemented
85C61×#394C2211yescharacteristic, complemented
86C61×#394C2211yescharacteristic, complemented
87C61×#394C2211yescharacteristic, complemented
88C61×#394C2211yescharacteristic, complemented
89C61×#394C2211yescharacteristic, complemented
90C61×#394C2211yescharacteristic, complemented
91C61×#394C2211yescharacteristic, complemented
92C61×#394C2211yescharacteristic, complemented
93C61×#394C2211yescharacteristic, complemented
94C61×#394C2211yescharacteristic, complemented
95C61×#394C2211yescharacteristic, complemented
96C61×#394C2211yescharacteristic, complemented
97C61×#394C2211yescharacteristic, complemented
98C61×#392C2211yescharacteristic
99C61×#392C2211yescharacteristic
100C61×#392C2211yescharacteristic
101C61×#392C2211yescharacteristic
102C61×#392C2211yescharacteristic
103C61×#392C2211yescharacteristic
104C61×#392C2211yescharacteristic, complemented
105C61×#392C2211yescharacteristic, complemented
106C61×#392C2211yescharacteristic, complemented
107C61×#392C2211yescharacteristic, complemented
108C61×#392C2211yescharacteristic, complemented
109C61×#390C2211yescharacteristic
110C61×#390C2211yescharacteristic
111C61×#390C2211yescharacteristic
112C61×#390C2211yescharacteristic
113C61×#390C2211yescharacteristic, complemented
114C61×#390C2211yescharacteristic, complemented
115C61×#388C2211yescharacteristic, complemented
116C61×#388C2211yescharacteristic, complemented
117C61×#388C2211yescharacteristic, complemented
118C61×#388C2211yescharacteristic, complemented
119C61×#388C2211yescharacteristic, complemented
120C61×#388C2211yescharacteristic, complemented
121C61×#388C2211yescharacteristic, complemented
122C61×#388C2211yescharacteristic, complemented
123C61×#388C2211yescharacteristic, complemented
124C61×#388C2211yescharacteristic, complemented
125C61×#388C2211yescharacteristic, complemented
126C61×#388C2211yescharacteristic, complemented
127C61×#387C2211yescharacteristic, complemented
128C61×#387C2211yescharacteristic, complemented
129C61×#387C2211yescharacteristic, complemented
130C61×#387C2211yescharacteristic, complemented
131C61×#387C2211yescharacteristic, complemented
132C61×#387C2211yescharacteristic, complemented
133C61×#387C2211yescharacteristic, complemented
134C61×#387C2211yescharacteristic, complemented
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, complemented
150C61×#386C2211yescharacteristic, complemented
151C61×#386C2211yescharacteristic, complemented
152C61×#386C2211yescharacteristic, complemented
153C61×#386C2211yescharacteristic, complemented
154C61×#386C2211yescharacteristic, complemented
155C61×#386C2211yescharacteristic, complemented
156C61×#386C2211yescharacteristic, complemented
157C61×#386C2211yescharacteristic, complemented
158C61×#386C2211yescharacteristic, complemented
159C61×#386C2211yescharacteristic, complemented
160C61×#386C2211yescharacteristic, complemented
161C61×#386C2211yescharacteristic, complemented
162C61×#386C2211yescharacteristic, complemented
163C61×#385C2211yescharacteristic
164C61×#385C2211yescharacteristic
165C61×#385C2211yescharacteristic
166C61×#385C2211yescharacteristic
167C61×#385C2211yescharacteristic, complemented
168C61×#385C2211yescharacteristic, complemented
169C61×#385C2211yescharacteristic, complemented
170C61×#385C2211yescharacteristic, complemented
171C61×#383C2211yescharacteristic, complemented
172C61×#382C2211yescharacteristic, complemented
173C61×#381C2211yescharacteristic, complemented
174C61×#381C2211yescharacteristic, complemented
175C61×#381C2211yescharacteristic, complemented
176C61×#380C2211yescharacteristic
177C61×#380C2211yescharacteristic
178C61×#380C2211yescharacteristic
179C61×#380C2211yescharacteristic, complemented
180C61×#380C2211yescharacteristic, complemented
181C61×#380C2211yescharacteristic, complemented
182C61×#379C2211yescharacteristic
183C61×#379C2211yescharacteristic
184C4×C22⋊C4×C61C2211yescharacteristic
185C2×#95×C61C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C25×C61C2311yescharacteristic
188C25×C61C2311yescharacteristic
189C22×D4×C61—24no—
190C22×D4×C61—42no—
191C22×D4×C61—42no—
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
213C22×D4×C61C2311yescharacteristic
214C23×C4×C61—42no—
215C23×C4×C61—42no—
216C23×C4×C61—42no—
217C23×C4×C61C2311yescharacteristic
218C23×C4×C61C2311yescharacteristic
219C23×C4×C61C2311yescharacteristic
220C23×C4×C61C2311yescharacteristic
221C23×C4×C61C2311yescharacteristic
222C23×C4×C61C2311yescharacteristic
223C23×C4×C61C2311yescharacteristic
224C23×C4×C61C2311yescharacteristic
225C23×C4×C61C2311yescharacteristic
226C23×C4×C61C2311yescharacteristic
227C23×C4×C61C2311yescharacteristic
228C23×C4×C61C2311yescharacteristic
229#127×C61—42no—
230#127×C61—42no—
231#123×C61—42no—
232#123×C61—42no—
233#123×C61—42no—
234#123×C61—42no—
235#121×C61—24no—
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—42no—
245#120×C61—42no—
246#120×C61—42no—
247#120×C61—42no—
248#120×C61—42no—
249#120×C61—42no—
250C4×D4×C61—24no—
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×C22⋊C4×C61—42no—
274C2×C22⋊C4×C61—42no—
275C2×C22⋊C4×C61—42no—
276C2×C22⋊C4×C61C2311yescharacteristic
277C2×C22⋊C4×C61C2311yescharacteristic
278C2×C22⋊C4×C61C2311yescharacteristic
279C2×C22⋊C4×C61C2311yescharacteristic
280C2×C22⋊C4×C61C2311yescharacteristic
281C2×C22⋊C4×C61C2311yescharacteristic
282C2×C22⋊C4×C61C2311yescharacteristic
283C2×C22⋊C4×C61C2311yescharacteristic
284C2×C22⋊C4×C61C2311yescharacteristic
285C2×C22⋊C4×C61C2311yescharacteristic
286C2×C22⋊C4×C61C2311yescharacteristic
287C2×C22⋊C4×C61C2311yescharacteristic
288C2×C22⋊C4×C61C2311yescharacteristic
289C2×C22⋊C4×C61C2311yescharacteristic
290C2×C22⋊C4×C61C2311yescharacteristic
291C2×C22⋊C4×C61C2311yescharacteristic
292C2×C22⋊C4×C61C2311yescharacteristic
293C2×C22⋊C4×C61C2311yescharacteristic
294C2×C22⋊C4×C61C2311yescharacteristic
295C2×C22⋊C4×C61C2311yescharacteristic
296C2×C22⋊C4×C61C2311yescharacteristic
297C2×C22⋊C4×C61C2311yescharacteristic
298C2×C22⋊C4×C61C2311yescharacteristic
299C2×C22⋊C4×C61C2311yescharacteristic
300C2×C22⋊C4×C61C2311yescharacteristic
301C2×C22⋊C4×C61C2311yescharacteristic
302C2×C22⋊C4×C61C2311yescharacteristic
303C2×C22⋊C4×C61C2311yescharacteristic
304C2×C22⋊C4×C61C2311yescharacteristic
305C2×C22⋊C4×C61C2311yescharacteristic
306C2×C22⋊C4×C61C2311yescharacteristic
307C2×C22⋊C4×C61C2311yescharacteristic
308C2×C22⋊C4×C61C2311yescharacteristic
309C2×C22⋊C4×C61C2311yescharacteristic
310C2×C22⋊C4×C61C2311yescharacteristic
311C2×C22⋊C4×C61C2311yescharacteristic
312C2×C22⋊C4×C61C2311yescharacteristic
313C2×C22⋊C4×C61C2311yescharacteristic
314C2×C22⋊C4×C61C2311yescharacteristic
315C2×C22⋊C4×C61C2311yescharacteristic
316C2×C22⋊C4×C61C2311yescharacteristic
317C2×C22⋊C4×C61C2311yescharacteristic
318C2×C22⋊C4×C61C2311yescharacteristic
319C2×C22⋊C4×C61C2311yescharacteristic
320C2×C22⋊C4×C61C2311yescharacteristic
321C2×C22⋊C4×C61C2311yescharacteristic
322C2×C22⋊C4×C61C2311yescharacteristic
323C2×C22⋊C4×C61C2311yescharacteristic
324C2×C22⋊C4×C61C2311yescharacteristic
325C2×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×C42×C61C2311yescharacteristic
335C2×C42×C61C2311yescharacteristic
336C2×C42×C61C2311yescharacteristic
337C2×C42×C61C2311yescharacteristic
338C2×C42×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
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61—22no—
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—22no—
379C24×C61—22no—
380C24×C61—22no—
381C24×C61—22no—
382C24×C61—22no—
383C24×C61—41no—
384C24×C61—41no—
385C24×C61—41no—
386C24×C61—41no—
387C24×C61—41no—
388C24×C61—41no—
389C24×C61C2411yescharacteristic
390C24×C61C2411yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C24×C61C2411yescharacteristic
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—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—22no—
419C2×D4×C61—22no—
420C2×D4×C61—22no—
421C2×D4×C61—22no—
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—416no—
464C22×C4×C61—22no—
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×C61—41no—
493C22×C4×C61—41no—
494C22×C4×C61—41no—
495C22×C4×C61—41no—
496C22×C4×C61—41no—
497C22×C4×C61—41no—
498C22×C4×C61—41no—
499C22×C4×C61—416no—
500C22×C4×C61#4114yes—
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
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C22×C4×C61C2411yescharacteristic
518C22×C4×C61C2411yescharacteristic
519C22×C4×C61C2411yescharacteristic
520C22×C4×C61C2411yescharacteristic
521C22×C4×C61C2411yescharacteristic
522C22×C4×C61C2411yescharacteristic
523C22×C4×C61C2411yescharacteristic
524C4⋊C4×C61—22no—
525C4⋊C4×C61—22no—
526C4⋊C4×C61—22no—
527C4⋊C4×C61—22no—
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—
538C4⋊C4×C61—41no—
539C4⋊C4×C61—41no—
540C4⋊C4×C61—41no—
541C4⋊C4×C61—41no—
542C4⋊C4×C61—41no—
543C4⋊C4×C61—41no—
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—41no—
596C22⋊C4×C61—41no—
597C22⋊C4×C61—41no—
598C22⋊C4×C61—41no—
599C22⋊C4×C61—41no—
600C22⋊C4×C61—41no—
601C22⋊C4×C61—41no—
602C42×C61—22no—
603C42×C61—41no—
604C42×C61—41no—
605C42×C61—41no—
606C42×C61—41no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—28no—
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—44no—
661C23×C61—44no—
662C23×C61—44no—
663C23×C61—44no—
664C23×C61—44no—
665C23×C61—44no—
666C23×C61—44no—
667C23×C61—44no—
668C23×C61—82no—
669C23×C61—82no—
670C23×C61—82no—
671C23×C61—82no—
672C23×C61C2×#4112yes—
673C23×C61H(5,𝔽2)12yes—
674C23×C61H(5,𝔽2)12yes—
675C23×C61H(5,𝔽2)12yes—
676C23×C61H(5,𝔽2)12yes—
677C23×C61C2511yescharacteristic
678D4×C61—44no—
679D4×C61—44no—
680D4×C61—44no—
681D4×C61—44no—
682D4×C61—44no—
683D4×C61—44no—
684D4×C61—44no—
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—
694D4×C61—82no—
695D4×C61—82no—
696D4×C61—82no—
697D4×C61—82no—
698D4×C61—82no—
699D4×C61—82no—
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—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—44no—
767C2×C4×C61—44no—
768C2×C4×C61—44no—
769C2×C4×C61—44no—
770C2×C4×C61—44no—
771C2×C4×C61—44no—
772C2×C4×C61—44no—
773C2×C4×C61—82no—
774C2×C4×C61—82no—
775C2×C4×C61—82no—
776C2×C4×C61—82no—
777C2×C4×C61—82no—
778C2×C4×C61C2×#4112yes—
779C2×C4×C61C2×#4112yes—
780C2×C4×C61H(5,𝔽2)12yes—
781#36794C6111yesmaximal, characteristic, direct product factor, Sylow
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—416no—
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—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—88no—
839C22×C61#54014yes—
840C22×C61C22×#4111yescharacteristic
841C22×C61C2×H(5,𝔽2)11yescharacteristic
842C22×C61C2×H(5,𝔽2)11yescharacteristic
843C22×C61C2×H(5,𝔽2)11yescharacteristic
844C22×C61C2×H(5,𝔽2)11yescharacteristic
845C22×C61C2×H(5,𝔽2)11yescharacteristic
846C22×C61#58511yescharacteristic
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—22no—
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—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870#2849C2×C6111yescharacteristic, complemented
871#2847C2×C6111yescharacteristic, complemented
872#2797C2×C6111yescharacteristic, complemented
873#2786C2×C6111yescharacteristic, complemented
874#2756C2×C6111yescharacteristic, complemented
875#2753C2×C6111yescharacteristic, complemented
876#2752C2×C6111yescharacteristic, complemented
877#2749C2×C6111yescharacteristic, complemented
878#2740C2×C6111yescharacteristic, complemented
879#2709C2×C6111yescharacteristic, complemented
880#2709C2×C6111yescharacteristic, complemented
881#2706C2×C6111yescharacteristic, complemented
882#2703C2×C6111yescharacteristic, complemented
883#2699C2×C6111yescharacteristic, complemented
884#2688C2×C6111yescharacteristic, complemented
885#2673C2×C6111yescharacteristic, complemented
886#2673C2×C6111yescharacteristic, complemented
887#2671C2×C6111yescharacteristic, complemented
888#2622C2×C6111yescharacteristic, complemented
889#2617C2×C6111yescharacteristic, complemented
890#2569C2×C6111yescharacteristic, complemented
891#2543C2×C6111yescharacteristic, complemented
892#2433C2×C6111yescharacteristic, complemented
893#2424C2×C6111yescharacteristic, complemented
894#2424C2×C6111yescharacteristic, complemented
895#2418C2×C6111yescharacteristic, complemented
896#2418C2×C6111yescharacteristic, complemented
897#2408C2×C6111yescharacteristic, complemented
898#2325C2×C6111yescharacteristic, complemented
899#2318C2×C6111yescharacteristic, complemented
900C2×#386C2×C6111yescharacteristic, complemented
901C2×C61—24no—
902C2×C61—42no—
903C2×C61—42no—
904C2×C61—81no—
905C2×C61—81no—
906C2×C61—81no—
907C2×C61—81no—
908C2×C61—81no—
909C2×C61C2×#54011yescharacteristic
910C2×C61#349011yescharacteristic
911C2×C61#350611yescharacteristic
912C2×C61#353211yescharacteristic
913C2×C61#353411yescharacteristic
914C2×C61#353411yescharacteristic
915C2×C61#353711yescharacteristic
916C23×D4C22×C6111yescharacteristic
917C24×C4C22×C6111yescharacteristic
918C2×#127C22×C6111yescharacteristic
919C2×#127C22×C6111yescharacteristic
920C2×#123C22×C6111yescharacteristic, complemented
921C2×#123C22×C6111yescharacteristic, complemented
922C2×#123C22×C6111yescharacteristic, complemented
923C2×#123C22×C6111yescharacteristic, complemented
924C2×#121C22×C6111yescharacteristic
925C2×#121C22×C6111yescharacteristic
926C2×#121C22×C6111yescharacteristic
927C2×#121C22×C6111yescharacteristic
928C2×#121C22×C6111yescharacteristic
929C2×#121C22×C6111yescharacteristic, complemented
930C2×#121C22×C6111yescharacteristic, complemented
931C2×#121C22×C6111yescharacteristic, complemented
932C2×#121C22×C6111yescharacteristic, complemented
933C2×#120C22×C6111yescharacteristic
934C2×#120C22×C6111yescharacteristic
935C2×#120C22×C6111yescharacteristic
936C2×#120C22×C6111yescharacteristic
937C2×#120C22×C6111yescharacteristic
938C2×#120C22×C6111yescharacteristic
939C2×C4×D4C22×C6111yescharacteristic
940C2×C4×D4C22×C6111yescharacteristic
941C2×C4×D4C22×C6111yescharacteristic
942C22×C22⋊C4C22×C6111yescharacteristic
943C22×C22⋊C4C22×C6111yescharacteristic
944C22×C22⋊C4C22×C6111yescharacteristic
945#400C22×C6111yescharacteristic, complemented
946#400C22×C6111yescharacteristic, complemented
947#399C22×C6111yescharacteristic, complemented
948#399C22×C6111yescharacteristic, complemented
949#398C22×C6111yescharacteristic, complemented
950#398C22×C6111yescharacteristic, complemented
951#398C22×C6111yescharacteristic, complemented
952#397C22×C6111yescharacteristic, complemented
953#397C22×C6111yescharacteristic, complemented
954#397C22×C6111yescharacteristic, complemented
955#397C22×C6111yescharacteristic, complemented
956#397C22×C6111yescharacteristic, complemented
957#397C22×C6111yescharacteristic, complemented
958#397C22×C6111yescharacteristic, complemented
959#397C22×C6111yescharacteristic, complemented
960#397C22×C6111yescharacteristic, complemented
961#396C22×C6111yescharacteristic, complemented
962#396C22×C6111yescharacteristic, complemented
963#394C22×C6111yescharacteristic
964#394C22×C6111yescharacteristic
965#394C22×C6111yescharacteristic, complemented
966#394C22×C6111yescharacteristic, complemented
967#394C22×C6111yescharacteristic, complemented
968#394C22×C6111yescharacteristic, complemented
969#394C22×C6111yescharacteristic, complemented
970#394C22×C6111yescharacteristic, complemented
971#394C22×C6111yescharacteristic, complemented
972#394C22×C6111yescharacteristic, complemented
973#394C22×C6111yescharacteristic, complemented
974#394C22×C6111yescharacteristic, complemented
975#394C22×C6111yescharacteristic, complemented
976#394C22×C6111yescharacteristic, complemented
977#394C22×C6111yescharacteristic, complemented
978#394C22×C6111yescharacteristic, complemented
979#394C22×C6111yescharacteristic, complemented
980#394C22×C6111yescharacteristic, complemented
981#394C22×C6111yescharacteristic, complemented
982#392C22×C6111yescharacteristic
983#392C22×C6111yescharacteristic
984#392C22×C6111yescharacteristic
985#392C22×C6111yescharacteristic
986#392C22×C6111yescharacteristic
987#392C22×C6111yescharacteristic
988#392C22×C6111yescharacteristic, complemented
989#392C22×C6111yescharacteristic, complemented
990#392C22×C6111yescharacteristic, complemented
991#392C22×C6111yescharacteristic, complemented
992#392C22×C6111yescharacteristic, complemented
993#390C22×C6111yescharacteristic
994#390C22×C6111yescharacteristic
995#390C22×C6111yescharacteristic
996#390C22×C6111yescharacteristic
997#390C22×C6111yescharacteristic, complemented
998#390C22×C6111yescharacteristic, complemented
999#388C22×C6111yescharacteristic, complemented
1000#388C22×C6111yescharacteristic, complemented
1001#388C22×C6111yescharacteristic, complemented
1002#388C22×C6111yescharacteristic, complemented
1003#388C22×C6111yescharacteristic, complemented
1004#388C22×C6111yescharacteristic, complemented
1005#388C22×C6111yescharacteristic, complemented
1006#388C22×C6111yescharacteristic, complemented
1007#388C22×C6111yescharacteristic, complemented
1008#388C22×C6111yescharacteristic, complemented
1009#388C22×C6111yescharacteristic, complemented
1010#388C22×C6111yescharacteristic, complemented
1011#387C22×C6111yescharacteristic, complemented
1012#387C22×C6111yescharacteristic, complemented
1013#387C22×C6111yescharacteristic, complemented
1014#387C22×C6111yescharacteristic, complemented
1015#387C22×C6111yescharacteristic, complemented
1016#387C22×C6111yescharacteristic, complemented
1017#387C22×C6111yescharacteristic, complemented
1018#387C22×C6111yescharacteristic, complemented
1019#386C22×C6111yescharacteristic
1020#386C22×C6111yescharacteristic
1021#386C22×C6111yescharacteristic
1022#386C22×C6111yescharacteristic
1023#386C22×C6111yescharacteristic
1024#386C22×C6111yescharacteristic
1025#386C22×C6111yescharacteristic
1026#386C22×C6111yescharacteristic
1027#386C22×C6111yescharacteristic
1028#386C22×C6111yescharacteristic
1029#386C22×C6111yescharacteristic
1030#386C22×C6111yescharacteristic
1031#386C22×C6111yescharacteristic
1032#386C22×C6111yescharacteristic
1033#386C22×C6111yescharacteristic, complemented
1034#386C22×C6111yescharacteristic, complemented
1035#386C22×C6111yescharacteristic, complemented
1036#386C22×C6111yescharacteristic, complemented
1037#386C22×C6111yescharacteristic, complemented
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#386C22×C6111yescharacteristic, complemented
1045#386C22×C6111yescharacteristic, complemented
1046#386C22×C6111yescharacteristic, complemented
1047#385C22×C6111yescharacteristic
1048#385C22×C6111yescharacteristic
1049#385C22×C6111yescharacteristic
1050#385C22×C6111yescharacteristic
1051#385C22×C6111yescharacteristic, complemented
1052#385C22×C6111yescharacteristic, complemented
1053#385C22×C6111yescharacteristic, complemented
1054#385C22×C6111yescharacteristic, complemented
1055#383C22×C6111yescharacteristic, complemented
1056#382C22×C6111yescharacteristic, complemented
1057#381C22×C6111yescharacteristic, complemented
1058#381C22×C6111yescharacteristic, complemented
1059#381C22×C6111yescharacteristic, complemented
1060#380C22×C6111yescharacteristic
1061#380C22×C6111yescharacteristic
1062#380C22×C6111yescharacteristic
1063#380C22×C6111yescharacteristic, complemented
1064#380C22×C6111yescharacteristic, complemented
1065#380C22×C6111yescharacteristic, complemented
1066#379C22×C6111yescharacteristic
1067#379C22×C6111yescharacteristic
1068C4×C22⋊C4C22×C6111yescharacteristic
1069C2×#95C22×C6111yescharacteristic
1070C2×#95C22×C6111yescharacteristic
1071C61#3679411yescharacteristic, direct product factor, Sylow
1072C25C23×C6111yescharacteristic
1073C25C23×C6111yescharacteristic
1074C22×D4—24no—
1075C22×D4—42no—
1076C22×D4—42no—
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
1088C22×D4C23×C6111yescharacteristic
1089C22×D4C23×C6111yescharacteristic
1090C22×D4C23×C6111yescharacteristic
1091C22×D4C23×C6111yescharacteristic
1092C22×D4C23×C6111yescharacteristic
1093C22×D4C23×C6111yescharacteristic
1094C22×D4C23×C6111yescharacteristic
1095C22×D4C23×C6111yescharacteristic
1096C22×D4C23×C6111yescharacteristic
1097C22×D4C23×C6111yescharacteristic
1098C22×D4C23×C6111yescharacteristic
1099C23×C4—42no—
1100C23×C4—42no—
1101C23×C4—42no—
1102C23×C4C23×C6111yescharacteristic
1103C23×C4C23×C6111yescharacteristic
1104C23×C4C23×C6111yescharacteristic
1105C23×C4C23×C6111yescharacteristic
1106C23×C4C23×C6111yescharacteristic
1107C23×C4C23×C6111yescharacteristic
1108C23×C4C23×C6111yescharacteristic
1109C23×C4C23×C6111yescharacteristic
1110C23×C4C23×C6111yescharacteristic
1111C23×C4C23×C6111yescharacteristic
1112C23×C4C23×C6111yescharacteristic
1113C23×C4C23×C6111yescharacteristic
1114#127—42no—
1115#127—42no—
1116#123—42no—
1117#123—42no—
1118#123—42no—
1119#123—42no—
1120#121—24no—
1121#121—42no—
1122#121—42no—
1123#121—42no—
1124#121—42no—
1125#121—42no—
1126#121—42no—
1127#121—42no—
1128#121—42no—
1129#120—42no—
1130#120—42no—
1131#120—42no—
1132#120—42no—
1133#120—42no—
1134#120—42no—
1135C4×D4—24no—
1136C4×D4—42no—
1137C4×D4—42no—
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×C4⋊C4C23×C6111yescharacteristic
1152C2×C4⋊C4C23×C6111yescharacteristic
1153C2×C4⋊C4C23×C6111yescharacteristic
1154C2×C4⋊C4C23×C6111yescharacteristic
1155C2×C4⋊C4C23×C6111yescharacteristic
1156C2×C4⋊C4C23×C6111yescharacteristic
1157C2×C4⋊C4C23×C6111yescharacteristic
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—42no—
1160C2×C22⋊C4—42no—
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×C22⋊C4C23×C6111yescharacteristic
1211C2×C22⋊C4C23×C6111yescharacteristic
1212C2×C22⋊C4C23×C6111yescharacteristic
1213C2×C22⋊C4C23×C6111yescharacteristic
1214C2×C22⋊C4C23×C6111yescharacteristic
1215C2×C22⋊C4C23×C6111yescharacteristic
1216C2×C22⋊C4C23×C6111yescharacteristic
1217C2×C22⋊C4C23×C6111yescharacteristic
1218C2×C22⋊C4C23×C6111yescharacteristic
1219C2×C42C23×C6111yescharacteristic
1220C2×C42C23×C6111yescharacteristic
1221C2×C42C23×C6111yescharacteristic
1222C2×C42C23×C6111yescharacteristic
1223C2×C42C23×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
1250#95C23×C6111yescharacteristic
1251#95C23×C6111yescharacteristic
1252#95C23×C6111yescharacteristic
1253#95C23×C6111yescharacteristic
1254#95C23×C6111yescharacteristic
1255#95C23×C6111yescharacteristic
1256#95C23×C6111yescharacteristic
1257#95C23×C6111yescharacteristic
1258#95C23×C6111yescharacteristic
1259#95C23×C6111yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24C24×C6111yescharacteristic
1275C24C24×C6111yescharacteristic
1276C24C24×C6111yescharacteristic
1277C24C24×C6111yescharacteristic
1278C24C24×C6111yescharacteristic
1279C24C24×C6111yescharacteristic
1280C24C24×C6111yescharacteristic
1281C24C24×C6111yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
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—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—416no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—416no—
1385C22×C4#41×C6114yes—
1386C22×C4C24×C6111yescharacteristic
1387C22×C4C24×C6111yescharacteristic
1388C22×C4C24×C6111yescharacteristic
1389C22×C4C24×C6111yescharacteristic
1390C22×C4C24×C6111yescharacteristic
1391C22×C4C24×C6111yescharacteristic
1392C22×C4C24×C6111yescharacteristic
1393C22×C4C24×C6111yescharacteristic
1394C22×C4C24×C6111yescharacteristic
1395C22×C4C24×C6111yescharacteristic
1396C22×C4C24×C6111yescharacteristic
1397C22×C4C24×C6111yescharacteristic
1398C22×C4C24×C6111yescharacteristic
1399C22×C4C24×C6111yescharacteristic
1400C22×C4C24×C6111yescharacteristic
1401C22×C4C24×C6111yescharacteristic
1402C22×C4C24×C6111yescharacteristic
1403C22×C4C24×C6111yescharacteristic
1404C22×C4C24×C6111yescharacteristic
1405C22×C4C24×C6111yescharacteristic
1406C22×C4C24×C6111yescharacteristic
1407C22×C4C24×C6111yescharacteristic
1408C22×C4C24×C6111yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
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—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C42—22no—
1488C42—41no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
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—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23C2×#41×C6112yes—
1558C23H(5,𝔽2)×C6112yes—
1559C23H(5,𝔽2)×C6112yes—
1560C23H(5,𝔽2)×C6112yes—
1561C23H(5,𝔽2)×C6112yes—
1562C23C25×C6111yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—44no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—82no—
1578D4—82no—
1579D4—82no—
1580D4—82no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
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—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—82no—
1663C2×C4C2×#41×C6112yes—
1664C2×C4C2×#41×C6112yes—
1665C2×C4H(5,𝔽2)×C6112yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
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—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—88no—
1723C22C61×#54014yes—
1724C22C22×#41×C6111yescharacteristic
1725C22C2×H(5,𝔽2)×C6111yescharacteristic
1726C22C2×H(5,𝔽2)×C6111yescharacteristic
1727C22C2×H(5,𝔽2)×C6111yescharacteristic
1728C22C2×H(5,𝔽2)×C6111yescharacteristic
1729C22C2×H(5,𝔽2)×C6111yescharacteristic
1730C22C61×#58511yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—81no—
1762C2C2×C61×#54011yescharacteristic
1763C2C61×#349011yescharacteristic
1764C2C61×#350611yescharacteristic
1765C2C61×#353211yescharacteristic
1766C2C61×#353411yescharacteristic
1767C2C61×#353411yescharacteristic
1768C2C61×#353711yescharacteristic
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×#2786C2semidirect
5. C61×#2756C2semidirect
6. C61×#2753C2semidirect
7. C61×#2752C2semidirect
8. C61×#2749C2semidirect
9. C61×#2740C2semidirect
10. C61×#2709C2semidirect
11. C61×#2709C2semidirect
12. C61×#2706C2semidirect
13. C61×#2703C2semidirect
14. C61×#2699C2semidirect
15. C61×#2688C2semidirect
16. C61×#2673C2semidirect
17. C61×#2673C2semidirect
18. C61×#2671C2semidirect
19. C61×#2622C2semidirect
20. C61×#2617C2semidirect
21. C61×#2569C2semidirect
22. C61×#2543C2semidirect
23. C61×#2433C2semidirect
24. C61×#2424C2semidirect
25. C61×#2424C2semidirect
26. C61×#2418C2semidirect
27. C61×#2418C2semidirect
28. C61×#2408C2semidirect
29. C61×#2325C2semidirect
30. C61×#2318C2semidirect
31. C2×C61×#386C2semidirect
36. C2×#123×C61C22semidirect
37. C2×#123×C61C22semidirect
38. C2×#123×C61C22semidirect
39. C2×#123×C61C22semidirect
45. C2×#121×C61C22semidirect
46. C2×#121×C61C22semidirect
47. C2×#121×C61C22semidirect
48. C2×#121×C61C22semidirect
61. C61×#400C22semidirect
62. C61×#400C22semidirect
63. C61×#399C22semidirect
64. C61×#399C22semidirect
65. C61×#398C22semidirect
66. C61×#398C22semidirect
67. C61×#398C22semidirect
68. C61×#397C22semidirect
69. C61×#397C22semidirect
70. C61×#397C22semidirect
71. C61×#397C22semidirect
72. C61×#397C22semidirect
73. C61×#397C22semidirect
74. C61×#397C22semidirect
75. C61×#397C22semidirect
76. C61×#397C22semidirect
77. C61×#396C22semidirect
78. C61×#396C22semidirect
81. C61×#394C22semidirect
82. C61×#394C22semidirect
83. C61×#394C22semidirect
84. C61×#394C22semidirect
85. C61×#394C22semidirect
86. C61×#394C22semidirect
87. C61×#394C22semidirect
88. C61×#394C22semidirect
89. C61×#394C22semidirect
90. C61×#394C22semidirect
91. C61×#394C22semidirect
92. C61×#394C22semidirect
93. C61×#394C22semidirect
94. C61×#394C22semidirect
95. C61×#394C22semidirect
96. C61×#394C22semidirect
97. C61×#394C22semidirect
104. C61×#392C22semidirect
105. C61×#392C22semidirect
106. C61×#392C22semidirect
107. C61×#392C22semidirect
108. C61×#392C22semidirect
113. C61×#390C22semidirect
114. C61×#390C22semidirect
115. C61×#388C22semidirect
116. C61×#388C22semidirect
117. C61×#388C22semidirect
118. C61×#388C22semidirect
119. C61×#388C22semidirect
120. C61×#388C22semidirect
121. C61×#388C22semidirect
122. C61×#388C22semidirect
123. C61×#388C22semidirect
124. C61×#388C22semidirect
125. C61×#388C22semidirect
126. C61×#388C22semidirect
127. C61×#387C22semidirect
128. C61×#387C22semidirect
129. C61×#387C22semidirect
130. C61×#387C22semidirect
131. C61×#387C22semidirect
132. C61×#387C22semidirect
133. C61×#387C22semidirect
134. C61×#387C22semidirect
149. C61×#386C22semidirect
150. C61×#386C22semidirect
151. C61×#386C22semidirect
152. C61×#386C22semidirect
153. C61×#386C22semidirect
154. C61×#386C22semidirect
155. C61×#386C22semidirect
156. C61×#386C22semidirect
157. C61×#386C22semidirect
158. C61×#386C22semidirect
159. C61×#386C22semidirect
160. C61×#386C22semidirect
161. C61×#386C22semidirect
162. C61×#386C22semidirect
167. C61×#385C22semidirect
168. C61×#385C22semidirect
169. C61×#385C22semidirect
170. C61×#385C22semidirect
171. C61×#383C22semidirect
172. C61×#382C22semidirect
173. C61×#381C22semidirect
174. C61×#381C22semidirect
175. C61×#381C22semidirect
179. C61×#380C22semidirect
180. C61×#380C22semidirect
181. C61×#380C22semidirect
781. #36794C61direct (N × H)
870. #2849C2×C61semidirect
871. #2847C2×C61semidirect
872. #2797C2×C61semidirect
873. #2786C2×C61semidirect
874. #2756C2×C61semidirect
875. #2753C2×C61semidirect
876. #2752C2×C61semidirect
877. #2749C2×C61semidirect
878. #2740C2×C61semidirect
879. #2709C2×C61semidirect
880. #2709C2×C61semidirect
881. #2706C2×C61semidirect
882. #2703C2×C61semidirect
883. #2699C2×C61semidirect
884. #2688C2×C61semidirect
885. #2673C2×C61semidirect
886. #2673C2×C61semidirect
887. #2671C2×C61semidirect
888. #2622C2×C61semidirect
889. #2617C2×C61semidirect
890. #2569C2×C61semidirect
891. #2543C2×C61semidirect
892. #2433C2×C61semidirect
893. #2424C2×C61semidirect
894. #2424C2×C61semidirect
895. #2418C2×C61semidirect
896. #2418C2×C61semidirect
897. #2408C2×C61semidirect
898. #2325C2×C61semidirect
899. #2318C2×C61semidirect
900. C2×#386C2×C61semidirect
920. C2×#123C22×C61semidirect
921. C2×#123C22×C61semidirect
922. C2×#123C22×C61semidirect
923. C2×#123C22×C61semidirect
929. C2×#121C22×C61semidirect
930. C2×#121C22×C61semidirect
931. C2×#121C22×C61semidirect
932. C2×#121C22×C61semidirect
945. #400C22×C61semidirect
946. #400C22×C61semidirect
947. #399C22×C61semidirect
948. #399C22×C61semidirect
949. #398C22×C61semidirect
950. #398C22×C61semidirect
951. #398C22×C61semidirect
952. #397C22×C61semidirect
953. #397C22×C61semidirect
954. #397C22×C61semidirect
955. #397C22×C61semidirect
956. #397C22×C61semidirect
957. #397C22×C61semidirect
958. #397C22×C61semidirect
959. #397C22×C61semidirect
960. #397C22×C61semidirect
961. #396C22×C61semidirect
962. #396C22×C61semidirect
965. #394C22×C61semidirect
966. #394C22×C61semidirect
967. #394C22×C61semidirect
968. #394C22×C61semidirect
969. #394C22×C61semidirect
970. #394C22×C61semidirect
971. #394C22×C61semidirect
972. #394C22×C61semidirect
973. #394C22×C61semidirect
974. #394C22×C61semidirect
975. #394C22×C61semidirect
976. #394C22×C61semidirect
977. #394C22×C61semidirect
978. #394C22×C61semidirect
979. #394C22×C61semidirect
980. #394C22×C61semidirect
981. #394C22×C61semidirect
988. #392C22×C61semidirect
989. #392C22×C61semidirect
990. #392C22×C61semidirect
991. #392C22×C61semidirect
992. #392C22×C61semidirect
997. #390C22×C61semidirect
998. #390C22×C61semidirect
999. #388C22×C61semidirect
1000. #388C22×C61semidirect
1001. #388C22×C61semidirect
1002. #388C22×C61semidirect
1003. #388C22×C61semidirect
1004. #388C22×C61semidirect
1005. #388C22×C61semidirect
1006. #388C22×C61semidirect
1007. #388C22×C61semidirect
1008. #388C22×C61semidirect
1009. #388C22×C61semidirect
1010. #388C22×C61semidirect
1011. #387C22×C61semidirect
1012. #387C22×C61semidirect
1013. #387C22×C61semidirect
1014. #387C22×C61semidirect
1015. #387C22×C61semidirect
1016. #387C22×C61semidirect
1017. #387C22×C61semidirect
1018. #387C22×C61semidirect
1033. #386C22×C61semidirect
1034. #386C22×C61semidirect
1035. #386C22×C61semidirect
1036. #386C22×C61semidirect
1037. #386C22×C61semidirect
1038. #386C22×C61semidirect
1039. #386C22×C61semidirect
1040. #386C22×C61semidirect
1041. #386C22×C61semidirect
1042. #386C22×C61semidirect
1043. #386C22×C61semidirect
1044. #386C22×C61semidirect
1045. #386C22×C61semidirect
1046. #386C22×C61semidirect
1051. #385C22×C61semidirect
1052. #385C22×C61semidirect
1053. #385C22×C61semidirect
1054. #385C22×C61semidirect
1055. #383C22×C61semidirect
1056. #382C22×C61semidirect
1057. #381C22×C61semidirect
1058. #381C22×C61semidirect
1059. #381C22×C61semidirect
1063. #380C22×C61semidirect
1064. #380C22×C61semidirect
1065. #380C22×C61semidirect
1071. C61#36794direct (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×#27862
C61×#27562
C61×#27532
C61×#27522
C61×#27492
C61×#27402
C61×#27092
C61×#27062
C61×#27032
C61×#26992
C61×#26882
C61×#26732
C61×#26712
C61×#26222
C61×#26172
C61×#25692
C61×#25432
C61×#24332
C61×#24242
C61×#24182
C61×#24082
C61×#23252
C61×#23182
C2×C61×#3862
#3679461