Finite Group Databasebeta

← C61×#36779 #29540212

Subgroups — C61×#36779 #29540212

Order 15616.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#2852C211yesmaximal, characteristic, complemented
2C61×#2850C211yesmaximal, characteristic, complemented
3C61×#2781C211yesmaximal, characteristic, complemented
4C61×#2781C211yesmaximal, characteristic, complemented
5C61×#2778C211yesmaximal, characteristic, complemented
6C61×#2765C211yesmaximal, characteristic, complemented
7C61×#2764C211yesmaximal, characteristic, complemented
8C61×#2761C211yesmaximal, characteristic, complemented
9C61×#2756C211yesmaximal, characteristic, complemented
10C61×#2749C211yesmaximal, characteristic, complemented
11C61×#2743C211yesmaximal, characteristic, complemented
12C61×#2741C211yesmaximal, characteristic, complemented
13C61×#2735C211yesmaximal, characteristic, complemented
14C61×#2735C211yesmaximal, characteristic, complemented
15C61×#2730C211yesmaximal, characteristic, complemented
16C61×#2702C211yesmaximal, characteristic, complemented
17C61×#2685C211yesmaximal, characteristic, complemented
18C61×#2684C211yesmaximal, characteristic, complemented
19C61×#2623C211yesmaximal, characteristic, complemented
20C61×#2618C211yesmaximal, characteristic, complemented
21C61×#2510C211yesmaximal, characteristic, complemented
22C61×#2488C211yesmaximal, characteristic, complemented
23C61×#2444C211yesmaximal, characteristic, complemented
24C61×#2437C211yesmaximal, characteristic, complemented
25C61×#2425C211yesmaximal, characteristic, complemented
26C61×#2412C211yesmaximal, characteristic, complemented
27C61×#2410C211yesmaximal, characteristic
28C61×#2405C211yesmaximal, characteristic, complemented
29C61×#2321C211yesmaximal, characteristic, complemented
30C61×#2308C211yesmaximal, characteristic, complemented
31C2×C61×#388C211yesmaximal, characteristic, complemented
32C23×D4×C61C2211yescharacteristic
33C2×#126×C61C2211yescharacteristic, complemented
34C2×#124×C61C2211yescharacteristic, complemented
35C2×#123×C61C2211yescharacteristic
36C2×#123×C61C2211yescharacteristic
37C2×#123×C61C2211yescharacteristic, complemented
38C2×C22⋊Q8×C61C2211yescharacteristic, complemented
39C2×C22⋊Q8×C61C2211yescharacteristic, complemented
40C2×#121×C61C2211yescharacteristic
41C2×#121×C61C2211yescharacteristic
42C2×#120×C61C2211yescharacteristic
43C2×#120×C61C2211yescharacteristic
44C2×C4×D4×C61C2211yescharacteristic, complemented
45C22×C4⋊C4×C61C2211yescharacteristic, complemented
46C22×C22⋊C4×C61C2211yescharacteristic
47C22×C22⋊C4×C61C2211yescharacteristic
48C22×C22⋊C4×C61C2211yescharacteristic
49C22×C22⋊C4×C61C2211yescharacteristic
50C22×C42×C61C2211yescharacteristic, complemented
51C61×#401C2211yescharacteristic, complemented
52C61×#400C2211yescharacteristic, complemented
53C61×#400C2211yescharacteristic, complemented
54C61×#400C2211yescharacteristic, complemented
55C61×#400C2211yescharacteristic, complemented
56C61×#400C2211yescharacteristic, complemented
57C61×#400C2211yescharacteristic, complemented
58C61×#399C2211yescharacteristic
59C61×#399C2211yescharacteristic, complemented
60C61×#399C2211yescharacteristic, complemented
61C61×#398C2211yescharacteristic, complemented
62C61×#398C2211yescharacteristic, complemented
63C61×#398C2211yescharacteristic, complemented
64C61×#398C2211yescharacteristic, complemented
65C61×#398C2211yescharacteristic, complemented
66C61×#397C2211yescharacteristic
67C61×#397C2211yescharacteristic
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×#396C2211yescharacteristic
77C61×#396C2211yescharacteristic
78C61×#396C2211yescharacteristic, complemented
79C61×#396C2211yescharacteristic, complemented
80C61×#396C2211yescharacteristic, complemented
81C61×#396C2211yescharacteristic, complemented
82C61×#396C2211yescharacteristic, complemented
83C61×#394C2211yescharacteristic
84C61×#394C2211yescharacteristic
85C61×#394C2211yescharacteristic
86C61×#394C2211yescharacteristic
87C61×#394C2211yescharacteristic
88C61×#394C2211yescharacteristic
89C61×#394C2211yescharacteristic
90C61×#394C2211yescharacteristic
91C61×#394C2211yescharacteristic, complemented
92C61×#394C2211yescharacteristic, complemented
93C61×#394C2211yescharacteristic, complemented
94C61×#394C2211yescharacteristic, complemented
95C61×#393C2211yescharacteristic
96C61×#393C2211yescharacteristic, complemented
97C61×#392C2211yescharacteristic
98C61×#392C2211yescharacteristic
99C61×#391C2211yescharacteristic, complemented
100C61×#391C2211yescharacteristic, complemented
101C61×#390C2211yescharacteristic
102C61×#390C2211yescharacteristic, complemented
103C61×#390C2211yescharacteristic, complemented
104C61×#389C2211yescharacteristic, complemented
105C61×#388C2211yescharacteristic
106C61×#388C2211yescharacteristic
107C61×#388C2211yescharacteristic
108C61×#388C2211yescharacteristic
109C61×#388C2211yescharacteristic
110C61×#388C2211yescharacteristic
111C61×#388C2211yescharacteristic, complemented
112C61×#388C2211yescharacteristic, complemented
113C61×#388C2211yescharacteristic, complemented
114C61×#388C2211yescharacteristic, 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×#388C2211yescharacteristic, complemented
128C61×#388C2211yescharacteristic, complemented
129C61×#388C2211yescharacteristic, 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×#385C2211yescharacteristic
157C61×#385C2211yescharacteristic
158C61×#385C2211yescharacteristic
159C61×#385C2211yescharacteristic, complemented
160C61×#385C2211yescharacteristic, complemented
161C61×#385C2211yescharacteristic, complemented
162C61×#385C2211yescharacteristic, complemented
163C61×#385C2211yescharacteristic, complemented
164C61×#385C2211yescharacteristic, complemented
165C61×#383C2211yescharacteristic, complemented
166C61×#383C2211yescharacteristic, complemented
167C61×#382C2211yescharacteristic, complemented
168C61×#382C2211yescharacteristic, complemented
169C61×#381C2211yescharacteristic
170C61×#381C2211yescharacteristic
171C61×#381C2211yescharacteristic, complemented
172C61×#381C2211yescharacteristic, complemented
173C61×#380C2211yescharacteristic, complemented
174C61×#380C2211yescharacteristic, complemented
175C61×#380C2211yescharacteristic, complemented
176C61×#380C2211yescharacteristic, complemented
177C61×#380C2211yescharacteristic, complemented
178C61×#379C2211yescharacteristic
179C61×#379C2211yescharacteristic
180C61×#379C2211yescharacteristic
181C61×#379C2211yescharacteristic
182C61×#379C2211yescharacteristic
183C61×#379C2211yescharacteristic
184C4×C22⋊C4×C61C2211yescharacteristic, complemented
185C2×#95×C61C2211yescharacteristic, complemented
186C2×#95×C61C2211yescharacteristic, complemented
187C25×C61C2311yescharacteristic
188C25×C61C2311yescharacteristic
189C22×Q8×C61C2311yescharacteristic
190C22×D4×C61—24no—
191C22×D4×C61—42no—
192C22×D4×C61—42no—
193C22×D4×C61C2311yescharacteristic
194C22×D4×C61C2311yescharacteristic
195C22×D4×C61C2311yescharacteristic
196C22×D4×C61C2311yescharacteristic
197C22×D4×C61C2311yescharacteristic
198C22×D4×C61C2311yescharacteristic
199C22×D4×C61C2311yescharacteristic
200C22×D4×C61C2311yescharacteristic
201C22×D4×C61C2311yescharacteristic
202C23×C4×C61C2311yescharacteristic
203C23×C4×C61C2311yescharacteristic
204C23×C4×C61C2311yescharacteristic
205C23×C4×C61C2311yescharacteristic
206C23×C4×C61C2311yescharacteristic
207C23×C4×C61C2311yescharacteristic
208C23×C4×C61C2311yescharacteristic
209C23×C4×C61C2311yescharacteristic
210C23×C4×C61C2311yescharacteristic
211C23×C4×C61C2311yescharacteristic
212#126×C61—42no—
213#124×C61—42no—
214#123×C61—42no—
215#123×C61—42no—
216#123×C61—42no—
217C22⋊Q8×C61—42no—
218C22⋊Q8×C61—42no—
219#121×C61—42no—
220#121×C61—42no—
221#120×C61—24no—
222#120×C61—42no—
223C4×D4×C61—42no—
224C2×C4⋊C4×C61—42no—
225C2×C4⋊C4×C61C2311yescharacteristic
226C2×C4⋊C4×C61C2311yescharacteristic
227C2×C4⋊C4×C61C2311yescharacteristic
228C2×C4⋊C4×C61C2311yescharacteristic
229C2×C4⋊C4×C61C2311yescharacteristic
230C2×C4⋊C4×C61C2311yescharacteristic
231C2×C4⋊C4×C61C2311yescharacteristic
232C2×C4⋊C4×C61C2311yescharacteristic
233C2×C4⋊C4×C61C2311yescharacteristic
234C2×C4⋊C4×C61C2311yescharacteristic
235C2×C4⋊C4×C61C2311yescharacteristic
236C2×C4⋊C4×C61C2311yescharacteristic
237C2×C4⋊C4×C61C2311yescharacteristic
238C2×C4⋊C4×C61C2311yescharacteristic
239C2×C4⋊C4×C61C2311yescharacteristic
240C2×C4⋊C4×C61C2311yescharacteristic
241C2×C4⋊C4×C61C2311yescharacteristic
242C2×C4⋊C4×C61C2311yescharacteristic
243C2×C4⋊C4×C61C2311yescharacteristic
244C2×C4⋊C4×C61C2311yescharacteristic
245C2×C4⋊C4×C61C2311yescharacteristic
246C2×C4⋊C4×C61C2311yescharacteristic
247C2×C4⋊C4×C61C2311yescharacteristic
248C2×C4⋊C4×C61C2311yescharacteristic
249C2×C4⋊C4×C61C2311yescharacteristic
250C2×C4⋊C4×C61C2311yescharacteristic
251C2×C22⋊C4×C61—24no—
252C2×C22⋊C4×C61—42no—
253C2×C22⋊C4×C61—42no—
254C2×C22⋊C4×C61—42no—
255C2×C22⋊C4×C61C2311yescharacteristic
256C2×C22⋊C4×C61C2311yescharacteristic
257C2×C22⋊C4×C61C2311yescharacteristic
258C2×C22⋊C4×C61C2311yescharacteristic
259C2×C22⋊C4×C61C2311yescharacteristic
260C2×C22⋊C4×C61C2311yescharacteristic
261C2×C22⋊C4×C61C2311yescharacteristic
262C2×C22⋊C4×C61C2311yescharacteristic
263C2×C22⋊C4×C61C2311yescharacteristic
264C2×C22⋊C4×C61C2311yescharacteristic
265C2×C22⋊C4×C61C2311yescharacteristic
266C2×C22⋊C4×C61C2311yescharacteristic
267C2×C22⋊C4×C61C2311yescharacteristic
268C2×C22⋊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×C42×C61—42no—
312C2×C42×C61C2311yescharacteristic
313C2×C42×C61C2311yescharacteristic
314C2×C42×C61C2311yescharacteristic
315C2×C42×C61C2311yescharacteristic
316C2×C42×C61C2311yescharacteristic
317C2×C42×C61C2311yescharacteristic
318C2×C42×C61C2311yescharacteristic
319#95×C61C2311yescharacteristic
320#95×C61C2311yescharacteristic
321#95×C61C2311yescharacteristic
322#95×C61C2311yescharacteristic
323#95×C61C2311yescharacteristic
324#95×C61C2311yescharacteristic
325#95×C61C2311yescharacteristic
326#95×C61C2311yescharacteristic
327#95×C61C2311yescharacteristic
328#95×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
363C24×C61—22no—
364C24×C61—22no—
365C24×C61—22no—
366C24×C61—41no—
367C24×C61—41no—
368C24×C61—41no—
369C24×C61—41no—
370C24×C61—41no—
371C24×C61—41no—
372C24×C61—41no—
373C24×C61—41no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61#4114yes—
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C24×C61C2411yescharacteristic
380C24×C61C2411yescharacteristic
381C24×C61C2411yescharacteristic
382C24×C61C2411yescharacteristic
383C2×Q8×C61—22no—
384C2×Q8×C61—41no—
385C2×Q8×C61—41no—
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—41no—
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—416no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—22no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—22no—
421C22×C4×C61—22no—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61—41no—
431C22×C4×C61—41no—
432C22×C4×C61—41no—
433C22×C4×C61—41no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61—41no—
442C22×C4×C61—41no—
443C22×C4×C61—41no—
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C4⋊C4×C61—22no—
470C4⋊C4×C61—41no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C4⋊C4×C61—41no—
474C4⋊C4×C61—41no—
475C4⋊C4×C61—41no—
476C4⋊C4×C61—41no—
477C4⋊C4×C61—41no—
478C4⋊C4×C61—41no—
479C4⋊C4×C61—41no—
480C4⋊C4×C61—41no—
481C4⋊C4×C61—41no—
482C4⋊C4×C61—41no—
483C4⋊C4×C61—41no—
484C4⋊C4×C61—41no—
485C4⋊C4×C61—41no—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C4⋊C4×C61—41no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C22⋊C4×C61—22no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—22no—
507C22⋊C4×C61—22no—
508C22⋊C4×C61—22no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C22⋊C4×C61—41no—
517C22⋊C4×C61—41no—
518C22⋊C4×C61—41no—
519C22⋊C4×C61—41no—
520C22⋊C4×C61—41no—
521C22⋊C4×C61—41no—
522C22⋊C4×C61—41no—
523C22⋊C4×C61—41no—
524C22⋊C4×C61—41no—
525C22⋊C4×C61—41no—
526C22⋊C4×C61—41no—
527C22⋊C4×C61—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61—41no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C42×C61—22no—
552C42×C61—22no—
553C42×C61—41no—
554C42×C61—41no—
555C42×C61—41no—
556C42×C61—41no—
557C42×C61—41no—
558C23×C61—21no—
559C23×C61—21no—
560C23×C61—21no—
561C23×C61—21no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—28no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—44no—
597C23×C61—44no—
598C23×C61—44no—
599C23×C61—82no—
600C23×C61—82no—
601C23×C61—82no—
602C23×C61—82no—
603C23×C61—82no—
604C23×C61—82no—
605C23×C61—82no—
606C23×C61—82no—
607C23×C61—82no—
608C23×C61—82no—
609C23×C61C2×#4112yes—
610C23×C61C2×#4112yes—
611C23×C61C2×#4112yes—
612C23×C61H(5,𝔽2)12yes—
613C23×C61H(5,𝔽2)12yes—
614C23×C61C2511yescharacteristic
615Q8×C61—82no—
616D4×C61—44no—
617D4×C61—44no—
618D4×C61—44no—
619D4×C61—44no—
620D4×C61—44no—
621D4×C61—82no—
622D4×C61—82no—
623D4×C61—82no—
624D4×C61—82no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—44no—
700C2×C4×C61—44no—
701C2×C4×C61—44no—
702C2×C4×C61—44no—
703C2×C4×C61—44no—
704C2×C4×C61—82no—
705C2×C4×C61—82no—
706C2×C4×C61—82no—
707C2×C4×C61—82no—
708C2×C4×C61—82no—
709C2×C4×C61H(5,𝔽2)12yes—
710#36779C6111yesmaximal, characteristic, direct product factor, Sylow
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—22no—
715C22×C61—22no—
716C22×C61—22no—
717C22×C61—22no—
718C22×C61—22no—
719C22×C61—22no—
720C22×C61—22no—
721C22×C61—22no—
722C22×C61—22no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61—41no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—88no—
753C22×C61—88no—
754C22×C61#53814yes—
755C22×C61C22×#4111yescharacteristic
756C22×C61C2×H(5,𝔽2)11yescharacteristic
757C22×C61C2×H(5,𝔽2)11yescharacteristic
758C22×C61C2×H(5,𝔽2)11yescharacteristic
759C22×C61#58511yescharacteristic
760C22×C61#58511yescharacteristic
761C22×C61#58511yescharacteristic
762C4×C61—22no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787#2852C2×C6111yescharacteristic, complemented
788#2850C2×C6111yescharacteristic, complemented
789#2781C2×C6111yescharacteristic, complemented
790#2781C2×C6111yescharacteristic, complemented
791#2778C2×C6111yescharacteristic, complemented
792#2765C2×C6111yescharacteristic, complemented
793#2764C2×C6111yescharacteristic, complemented
794#2761C2×C6111yescharacteristic, complemented
795#2756C2×C6111yescharacteristic, complemented
796#2749C2×C6111yescharacteristic, complemented
797#2743C2×C6111yescharacteristic, complemented
798#2741C2×C6111yescharacteristic, complemented
799#2735C2×C6111yescharacteristic, complemented
800#2735C2×C6111yescharacteristic, complemented
801#2730C2×C6111yescharacteristic, complemented
802#2702C2×C6111yescharacteristic, complemented
803#2685C2×C6111yescharacteristic, complemented
804#2684C2×C6111yescharacteristic, complemented
805#2623C2×C6111yescharacteristic, complemented
806#2618C2×C6111yescharacteristic, complemented
807#2510C2×C6111yescharacteristic, complemented
808#2488C2×C6111yescharacteristic, complemented
809#2444C2×C6111yescharacteristic, complemented
810#2437C2×C6111yescharacteristic, complemented
811#2425C2×C6111yescharacteristic, complemented
812#2412C2×C6111yescharacteristic, complemented
813#2410C2×C6111yescharacteristic
814#2405C2×C6111yescharacteristic, complemented
815#2321C2×C6111yescharacteristic, complemented
816#2308C2×C6111yescharacteristic, complemented
817C2×#388C2×C6111yescharacteristic, complemented
818C2×C61—24no—
819C2×C61—42no—
820C2×C61—42no—
821C2×C61—81no—
822C2×C61—81no—
823C2×C61—81no—
824C2×C61C2×#53811yescharacteristic
825C2×C61#349111yescharacteristic
826C2×C61#350511yescharacteristic
827C2×C61#353411yescharacteristic
828C2×C61#354211yescharacteristic
829C2×C61#354511yescharacteristic
830C2×C61#356011yescharacteristic
831C23×D4C22×C6111yescharacteristic
832C2×#126C22×C6111yescharacteristic, complemented
833C2×#124C22×C6111yescharacteristic, complemented
834C2×#123C22×C6111yescharacteristic
835C2×#123C22×C6111yescharacteristic
836C2×#123C22×C6111yescharacteristic, complemented
837C2×C22⋊Q8C22×C6111yescharacteristic, complemented
838C2×C22⋊Q8C22×C6111yescharacteristic, complemented
839C2×#121C22×C6111yescharacteristic
840C2×#121C22×C6111yescharacteristic
841C2×#120C22×C6111yescharacteristic
842C2×#120C22×C6111yescharacteristic
843C2×C4×D4C22×C6111yescharacteristic, complemented
844C22×C4⋊C4C22×C6111yescharacteristic, complemented
845C22×C22⋊C4C22×C6111yescharacteristic
846C22×C22⋊C4C22×C6111yescharacteristic
847C22×C22⋊C4C22×C6111yescharacteristic
848C22×C22⋊C4C22×C6111yescharacteristic
849C22×C42C22×C6111yescharacteristic, complemented
850#401C22×C6111yescharacteristic, complemented
851#400C22×C6111yescharacteristic, complemented
852#400C22×C6111yescharacteristic, complemented
853#400C22×C6111yescharacteristic, complemented
854#400C22×C6111yescharacteristic, complemented
855#400C22×C6111yescharacteristic, complemented
856#400C22×C6111yescharacteristic, complemented
857#399C22×C6111yescharacteristic
858#399C22×C6111yescharacteristic, complemented
859#399C22×C6111yescharacteristic, complemented
860#398C22×C6111yescharacteristic, complemented
861#398C22×C6111yescharacteristic, complemented
862#398C22×C6111yescharacteristic, complemented
863#398C22×C6111yescharacteristic, complemented
864#398C22×C6111yescharacteristic, complemented
865#397C22×C6111yescharacteristic
866#397C22×C6111yescharacteristic
867#397C22×C6111yescharacteristic, complemented
868#397C22×C6111yescharacteristic, complemented
869#397C22×C6111yescharacteristic, complemented
870#397C22×C6111yescharacteristic, complemented
871#397C22×C6111yescharacteristic, complemented
872#397C22×C6111yescharacteristic, complemented
873#397C22×C6111yescharacteristic, complemented
874#397C22×C6111yescharacteristic, complemented
875#396C22×C6111yescharacteristic
876#396C22×C6111yescharacteristic
877#396C22×C6111yescharacteristic, complemented
878#396C22×C6111yescharacteristic, complemented
879#396C22×C6111yescharacteristic, complemented
880#396C22×C6111yescharacteristic, complemented
881#396C22×C6111yescharacteristic, complemented
882#394C22×C6111yescharacteristic
883#394C22×C6111yescharacteristic
884#394C22×C6111yescharacteristic
885#394C22×C6111yescharacteristic
886#394C22×C6111yescharacteristic
887#394C22×C6111yescharacteristic
888#394C22×C6111yescharacteristic
889#394C22×C6111yescharacteristic
890#394C22×C6111yescharacteristic, complemented
891#394C22×C6111yescharacteristic, complemented
892#394C22×C6111yescharacteristic, complemented
893#394C22×C6111yescharacteristic, complemented
894#393C22×C6111yescharacteristic
895#393C22×C6111yescharacteristic, complemented
896#392C22×C6111yescharacteristic
897#392C22×C6111yescharacteristic
898#391C22×C6111yescharacteristic, complemented
899#391C22×C6111yescharacteristic, complemented
900#390C22×C6111yescharacteristic
901#390C22×C6111yescharacteristic, complemented
902#390C22×C6111yescharacteristic, complemented
903#389C22×C6111yescharacteristic, complemented
904#388C22×C6111yescharacteristic
905#388C22×C6111yescharacteristic
906#388C22×C6111yescharacteristic
907#388C22×C6111yescharacteristic
908#388C22×C6111yescharacteristic
909#388C22×C6111yescharacteristic
910#388C22×C6111yescharacteristic, complemented
911#388C22×C6111yescharacteristic, complemented
912#388C22×C6111yescharacteristic, complemented
913#388C22×C6111yescharacteristic, complemented
914#388C22×C6111yescharacteristic, complemented
915#388C22×C6111yescharacteristic, complemented
916#388C22×C6111yescharacteristic, complemented
917#388C22×C6111yescharacteristic, complemented
918#388C22×C6111yescharacteristic, complemented
919#388C22×C6111yescharacteristic, complemented
920#388C22×C6111yescharacteristic, complemented
921#388C22×C6111yescharacteristic, complemented
922#388C22×C6111yescharacteristic, complemented
923#388C22×C6111yescharacteristic, complemented
924#388C22×C6111yescharacteristic, complemented
925#388C22×C6111yescharacteristic, complemented
926#388C22×C6111yescharacteristic, complemented
927#388C22×C6111yescharacteristic, complemented
928#388C22×C6111yescharacteristic, complemented
929#387C22×C6111yescharacteristic, complemented
930#387C22×C6111yescharacteristic, complemented
931#387C22×C6111yescharacteristic, complemented
932#387C22×C6111yescharacteristic, complemented
933#387C22×C6111yescharacteristic, complemented
934#386C22×C6111yescharacteristic
935#386C22×C6111yescharacteristic
936#386C22×C6111yescharacteristic
937#386C22×C6111yescharacteristic
938#386C22×C6111yescharacteristic
939#386C22×C6111yescharacteristic
940#386C22×C6111yescharacteristic
941#386C22×C6111yescharacteristic
942#386C22×C6111yescharacteristic
943#386C22×C6111yescharacteristic
944#386C22×C6111yescharacteristic
945#386C22×C6111yescharacteristic
946#386C22×C6111yescharacteristic
947#386C22×C6111yescharacteristic
948#386C22×C6111yescharacteristic, complemented
949#386C22×C6111yescharacteristic, complemented
950#386C22×C6111yescharacteristic, complemented
951#386C22×C6111yescharacteristic, complemented
952#386C22×C6111yescharacteristic, complemented
953#386C22×C6111yescharacteristic, complemented
954#386C22×C6111yescharacteristic, complemented
955#385C22×C6111yescharacteristic
956#385C22×C6111yescharacteristic
957#385C22×C6111yescharacteristic
958#385C22×C6111yescharacteristic, complemented
959#385C22×C6111yescharacteristic, complemented
960#385C22×C6111yescharacteristic, complemented
961#385C22×C6111yescharacteristic, complemented
962#385C22×C6111yescharacteristic, complemented
963#385C22×C6111yescharacteristic, complemented
964#383C22×C6111yescharacteristic, complemented
965#383C22×C6111yescharacteristic, complemented
966#382C22×C6111yescharacteristic, complemented
967#382C22×C6111yescharacteristic, complemented
968#381C22×C6111yescharacteristic
969#381C22×C6111yescharacteristic
970#381C22×C6111yescharacteristic, complemented
971#381C22×C6111yescharacteristic, complemented
972#380C22×C6111yescharacteristic, complemented
973#380C22×C6111yescharacteristic, complemented
974#380C22×C6111yescharacteristic, complemented
975#380C22×C6111yescharacteristic, complemented
976#380C22×C6111yescharacteristic, complemented
977#379C22×C6111yescharacteristic
978#379C22×C6111yescharacteristic
979#379C22×C6111yescharacteristic
980#379C22×C6111yescharacteristic
981#379C22×C6111yescharacteristic
982#379C22×C6111yescharacteristic
983C4×C22⋊C4C22×C6111yescharacteristic, complemented
984C2×#95C22×C6111yescharacteristic, complemented
985C2×#95C22×C6111yescharacteristic, complemented
986C61#3677911yescharacteristic, direct product factor, Sylow
987C25C23×C6111yescharacteristic
988C25C23×C6111yescharacteristic
989C22×Q8C23×C6111yescharacteristic
990C22×D4—24no—
991C22×D4—42no—
992C22×D4—42no—
993C22×D4C23×C6111yescharacteristic
994C22×D4C23×C6111yescharacteristic
995C22×D4C23×C6111yescharacteristic
996C22×D4C23×C6111yescharacteristic
997C22×D4C23×C6111yescharacteristic
998C22×D4C23×C6111yescharacteristic
999C22×D4C23×C6111yescharacteristic
1000C22×D4C23×C6111yescharacteristic
1001C22×D4C23×C6111yescharacteristic
1002C23×C4C23×C6111yescharacteristic
1003C23×C4C23×C6111yescharacteristic
1004C23×C4C23×C6111yescharacteristic
1005C23×C4C23×C6111yescharacteristic
1006C23×C4C23×C6111yescharacteristic
1007C23×C4C23×C6111yescharacteristic
1008C23×C4C23×C6111yescharacteristic
1009C23×C4C23×C6111yescharacteristic
1010C23×C4C23×C6111yescharacteristic
1011C23×C4C23×C6111yescharacteristic
1012#126—42no—
1013#124—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019#121—42no—
1020#121—42no—
1021#120—24no—
1022#120—42no—
1023C4×D4—42no—
1024C2×C4⋊C4—42no—
1025C2×C4⋊C4C23×C6111yescharacteristic
1026C2×C4⋊C4C23×C6111yescharacteristic
1027C2×C4⋊C4C23×C6111yescharacteristic
1028C2×C4⋊C4C23×C6111yescharacteristic
1029C2×C4⋊C4C23×C6111yescharacteristic
1030C2×C4⋊C4C23×C6111yescharacteristic
1031C2×C4⋊C4C23×C6111yescharacteristic
1032C2×C4⋊C4C23×C6111yescharacteristic
1033C2×C4⋊C4C23×C6111yescharacteristic
1034C2×C4⋊C4C23×C6111yescharacteristic
1035C2×C4⋊C4C23×C6111yescharacteristic
1036C2×C4⋊C4C23×C6111yescharacteristic
1037C2×C4⋊C4C23×C6111yescharacteristic
1038C2×C4⋊C4C23×C6111yescharacteristic
1039C2×C4⋊C4C23×C6111yescharacteristic
1040C2×C4⋊C4C23×C6111yescharacteristic
1041C2×C4⋊C4C23×C6111yescharacteristic
1042C2×C4⋊C4C23×C6111yescharacteristic
1043C2×C4⋊C4C23×C6111yescharacteristic
1044C2×C4⋊C4C23×C6111yescharacteristic
1045C2×C4⋊C4C23×C6111yescharacteristic
1046C2×C4⋊C4C23×C6111yescharacteristic
1047C2×C4⋊C4C23×C6111yescharacteristic
1048C2×C4⋊C4C23×C6111yescharacteristic
1049C2×C4⋊C4C23×C6111yescharacteristic
1050C2×C4⋊C4C23×C6111yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—42no—
1055C2×C22⋊C4C23×C6111yescharacteristic
1056C2×C22⋊C4C23×C6111yescharacteristic
1057C2×C22⋊C4C23×C6111yescharacteristic
1058C2×C22⋊C4C23×C6111yescharacteristic
1059C2×C22⋊C4C23×C6111yescharacteristic
1060C2×C22⋊C4C23×C6111yescharacteristic
1061C2×C22⋊C4C23×C6111yescharacteristic
1062C2×C22⋊C4C23×C6111yescharacteristic
1063C2×C22⋊C4C23×C6111yescharacteristic
1064C2×C22⋊C4C23×C6111yescharacteristic
1065C2×C22⋊C4C23×C6111yescharacteristic
1066C2×C22⋊C4C23×C6111yescharacteristic
1067C2×C22⋊C4C23×C6111yescharacteristic
1068C2×C22⋊C4C23×C6111yescharacteristic
1069C2×C22⋊C4C23×C6111yescharacteristic
1070C2×C22⋊C4C23×C6111yescharacteristic
1071C2×C22⋊C4C23×C6111yescharacteristic
1072C2×C22⋊C4C23×C6111yescharacteristic
1073C2×C22⋊C4C23×C6111yescharacteristic
1074C2×C22⋊C4C23×C6111yescharacteristic
1075C2×C22⋊C4C23×C6111yescharacteristic
1076C2×C22⋊C4C23×C6111yescharacteristic
1077C2×C22⋊C4C23×C6111yescharacteristic
1078C2×C22⋊C4C23×C6111yescharacteristic
1079C2×C22⋊C4C23×C6111yescharacteristic
1080C2×C22⋊C4C23×C6111yescharacteristic
1081C2×C22⋊C4C23×C6111yescharacteristic
1082C2×C22⋊C4C23×C6111yescharacteristic
1083C2×C22⋊C4C23×C6111yescharacteristic
1084C2×C22⋊C4C23×C6111yescharacteristic
1085C2×C22⋊C4C23×C6111yescharacteristic
1086C2×C22⋊C4C23×C6111yescharacteristic
1087C2×C22⋊C4C23×C6111yescharacteristic
1088C2×C22⋊C4C23×C6111yescharacteristic
1089C2×C22⋊C4C23×C6111yescharacteristic
1090C2×C22⋊C4C23×C6111yescharacteristic
1091C2×C22⋊C4C23×C6111yescharacteristic
1092C2×C22⋊C4C23×C6111yescharacteristic
1093C2×C22⋊C4C23×C6111yescharacteristic
1094C2×C22⋊C4C23×C6111yescharacteristic
1095C2×C22⋊C4C23×C6111yescharacteristic
1096C2×C22⋊C4C23×C6111yescharacteristic
1097C2×C22⋊C4C23×C6111yescharacteristic
1098C2×C22⋊C4C23×C6111yescharacteristic
1099C2×C22⋊C4C23×C6111yescharacteristic
1100C2×C22⋊C4C23×C6111yescharacteristic
1101C2×C22⋊C4C23×C6111yescharacteristic
1102C2×C22⋊C4C23×C6111yescharacteristic
1103C2×C22⋊C4C23×C6111yescharacteristic
1104C2×C22⋊C4C23×C6111yescharacteristic
1105C2×C22⋊C4C23×C6111yescharacteristic
1106C2×C22⋊C4C23×C6111yescharacteristic
1107C2×C22⋊C4C23×C6111yescharacteristic
1108C2×C22⋊C4C23×C6111yescharacteristic
1109C2×C22⋊C4C23×C6111yescharacteristic
1110C2×C22⋊C4C23×C6111yescharacteristic
1111C2×C42—42no—
1112C2×C42C23×C6111yescharacteristic
1113C2×C42C23×C6111yescharacteristic
1114C2×C42C23×C6111yescharacteristic
1115C2×C42C23×C6111yescharacteristic
1116C2×C42C23×C6111yescharacteristic
1117C2×C42C23×C6111yescharacteristic
1118C2×C42C23×C6111yescharacteristic
1119#95C23×C6111yescharacteristic
1120#95C23×C6111yescharacteristic
1121#95C23×C6111yescharacteristic
1122#95C23×C6111yescharacteristic
1123#95C23×C6111yescharacteristic
1124#95C23×C6111yescharacteristic
1125#95C23×C6111yescharacteristic
1126#95C23×C6111yescharacteristic
1127#95C23×C6111yescharacteristic
1128#95C23×C6111yescharacteristic
1129#95C23×C6111yescharacteristic
1130#95C23×C6111yescharacteristic
1131#95C23×C6111yescharacteristic
1132#95C23×C6111yescharacteristic
1133#95C23×C6111yescharacteristic
1134#95C23×C6111yescharacteristic
1135#95C23×C6111yescharacteristic
1136#95C23×C6111yescharacteristic
1137#95C23×C6111yescharacteristic
1138#95C23×C6111yescharacteristic
1139#95C23×C6111yescharacteristic
1140#95C23×C6111yescharacteristic
1141#95C23×C6111yescharacteristic
1142#95C23×C6111yescharacteristic
1143#95C23×C6111yescharacteristic
1144#95C23×C6111yescharacteristic
1145#95C23×C6111yescharacteristic
1146#95C23×C6111yescharacteristic
1147#95C23×C6111yescharacteristic
1148#95C23×C6111yescharacteristic
1149#95C23×C6111yescharacteristic
1150#95C23×C6111yescharacteristic
1151#95C23×C6111yescharacteristic
1152#95C23×C6111yescharacteristic
1153#95C23×C6111yescharacteristic
1154#95C23×C6111yescharacteristic
1155#95C23×C6111yescharacteristic
1156#95C23×C6111yescharacteristic
1157#95C23×C6111yescharacteristic
1158#95C23×C6111yescharacteristic
1159#95C23×C6111yescharacteristic
1160#95C23×C6111yescharacteristic
1161#95C23×C6111yescharacteristic
1162#95C23×C6111yescharacteristic
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24#41×C6114yes—
1177C24C24×C6111yescharacteristic
1178C24C24×C6111yescharacteristic
1179C24C24×C6111yescharacteristic
1180C24C24×C6111yescharacteristic
1181C24C24×C6111yescharacteristic
1182C24C24×C6111yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4C24×C6111yescharacteristic
1245C22×C4C24×C6111yescharacteristic
1246C22×C4C24×C6111yescharacteristic
1247C22×C4C24×C6111yescharacteristic
1248C22×C4C24×C6111yescharacteristic
1249C22×C4C24×C6111yescharacteristic
1250C22×C4C24×C6111yescharacteristic
1251C22×C4C24×C6111yescharacteristic
1252C22×C4C24×C6111yescharacteristic
1253C22×C4C24×C6111yescharacteristic
1254C22×C4C24×C6111yescharacteristic
1255C22×C4C24×C6111yescharacteristic
1256C22×C4C24×C6111yescharacteristic
1257C22×C4C24×C6111yescharacteristic
1258C22×C4C24×C6111yescharacteristic
1259C22×C4C24×C6111yescharacteristic
1260C22×C4C24×C6111yescharacteristic
1261C22×C4C24×C6111yescharacteristic
1262C22×C4C24×C6111yescharacteristic
1263C22×C4C24×C6111yescharacteristic
1264C22×C4C24×C6111yescharacteristic
1265C22×C4C24×C6111yescharacteristic
1266C22×C4C24×C6111yescharacteristic
1267C22×C4C24×C6111yescharacteristic
1268C22×C4C24×C6111yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#41×C6112yes—
1410C23C2×#41×C6112yes—
1411C23C2×#41×C6112yes—
1412C23H(5,𝔽2)×C6112yes—
1413C23H(5,𝔽2)×C6112yes—
1414C23C25×C6111yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4H(5,𝔽2)×C6112yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22C61×#53814yes—
1554C22C22×#41×C6111yescharacteristic
1555C22C2×H(5,𝔽2)×C6111yescharacteristic
1556C22C2×H(5,𝔽2)×C6111yescharacteristic
1557C22C2×H(5,𝔽2)×C6111yescharacteristic
1558C22C61×#58511yescharacteristic
1559C22C61×#58511yescharacteristic
1560C22C61×#58511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×C61×#53811yescharacteristic
1593C2C61×#349111yescharacteristic
1594C2C61×#350511yescharacteristic
1595C2C61×#353411yescharacteristic
1596C2C61×#354211yescharacteristic
1597C2C61×#354511yescharacteristic
1598C2C61×#356011yescharacteristic
subgroupG/H
center, socleC23×C61C25
commutator, Frattini, cosocleC23C25×C61
prime radicalC61×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#2852C2semidirect
2. C61×#2850C2semidirect
3. C61×#2781C2semidirect
4. C61×#2781C2semidirect
5. C61×#2778C2semidirect
6. C61×#2765C2semidirect
7. C61×#2764C2semidirect
8. C61×#2761C2semidirect
9. C61×#2756C2semidirect
10. C61×#2749C2semidirect
11. C61×#2743C2semidirect
12. C61×#2741C2semidirect
13. C61×#2735C2semidirect
14. C61×#2735C2semidirect
15. C61×#2730C2semidirect
16. C61×#2702C2semidirect
17. C61×#2685C2semidirect
18. C61×#2684C2semidirect
19. C61×#2623C2semidirect
20. C61×#2618C2semidirect
21. C61×#2510C2semidirect
22. C61×#2488C2semidirect
23. C61×#2444C2semidirect
24. C61×#2437C2semidirect
25. C61×#2425C2semidirect
26. C61×#2412C2semidirect
28. C61×#2405C2semidirect
29. C61×#2321C2semidirect
30. C61×#2308C2semidirect
31. C2×C61×#388C2semidirect
33. C2×#126×C61C22semidirect
34. C2×#124×C61C22semidirect
37. C2×#123×C61C22semidirect
38. C2×C22⋊Q8×C61C22semidirect
39. C2×C22⋊Q8×C61C22semidirect
44. C2×C4×D4×C61C22semidirect
45. C22×C4⋊C4×C61C22semidirect
50. C22×C42×C61C22semidirect
51. C61×#401C22semidirect
52. C61×#400C22semidirect
53. C61×#400C22semidirect
54. C61×#400C22semidirect
55. C61×#400C22semidirect
56. C61×#400C22semidirect
57. C61×#400C22semidirect
59. C61×#399C22semidirect
60. C61×#399C22semidirect
61. C61×#398C22semidirect
62. C61×#398C22semidirect
63. C61×#398C22semidirect
64. C61×#398C22semidirect
65. 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
78. C61×#396C22semidirect
79. C61×#396C22semidirect
80. C61×#396C22semidirect
81. C61×#396C22semidirect
82. C61×#396C22semidirect
91. C61×#394C22semidirect
92. C61×#394C22semidirect
93. C61×#394C22semidirect
94. C61×#394C22semidirect
96. C61×#393C22semidirect
99. C61×#391C22semidirect
100. C61×#391C22semidirect
102. C61×#390C22semidirect
103. C61×#390C22semidirect
104. C61×#389C22semidirect
111. C61×#388C22semidirect
112. C61×#388C22semidirect
113. C61×#388C22semidirect
114. C61×#388C22semidirect
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×#388C22semidirect
128. C61×#388C22semidirect
129. C61×#388C22semidirect
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
159. C61×#385C22semidirect
160. C61×#385C22semidirect
161. C61×#385C22semidirect
162. C61×#385C22semidirect
163. C61×#385C22semidirect
164. C61×#385C22semidirect
165. C61×#383C22semidirect
166. C61×#383C22semidirect
167. C61×#382C22semidirect
168. C61×#382C22semidirect
171. C61×#381C22semidirect
172. C61×#381C22semidirect
173. C61×#380C22semidirect
174. C61×#380C22semidirect
175. C61×#380C22semidirect
176. C61×#380C22semidirect
177. C61×#380C22semidirect
184. C4×C22⋊C4×C61C22semidirect
185. C2×#95×C61C22semidirect
186. C2×#95×C61C22semidirect
710. #36779C61direct (N × H)
787. #2852C2×C61semidirect
788. #2850C2×C61semidirect
789. #2781C2×C61semidirect
790. #2781C2×C61semidirect
791. #2778C2×C61semidirect
792. #2765C2×C61semidirect
793. #2764C2×C61semidirect
794. #2761C2×C61semidirect
795. #2756C2×C61semidirect
796. #2749C2×C61semidirect
797. #2743C2×C61semidirect
798. #2741C2×C61semidirect
799. #2735C2×C61semidirect
800. #2735C2×C61semidirect
801. #2730C2×C61semidirect
802. #2702C2×C61semidirect
803. #2685C2×C61semidirect
804. #2684C2×C61semidirect
805. #2623C2×C61semidirect
806. #2618C2×C61semidirect
807. #2510C2×C61semidirect
808. #2488C2×C61semidirect
809. #2444C2×C61semidirect
810. #2437C2×C61semidirect
811. #2425C2×C61semidirect
812. #2412C2×C61semidirect
814. #2405C2×C61semidirect
815. #2321C2×C61semidirect
816. #2308C2×C61semidirect
817. C2×#388C2×C61semidirect
832. C2×#126C22×C61semidirect
833. C2×#124C22×C61semidirect
836. C2×#123C22×C61semidirect
837. C2×C22⋊Q8C22×C61semidirect
838. C2×C22⋊Q8C22×C61semidirect
843. C2×C4×D4C22×C61semidirect
844. C22×C4⋊C4C22×C61semidirect
849. C22×C42C22×C61semidirect
850. #401C22×C61semidirect
851. #400C22×C61semidirect
852. #400C22×C61semidirect
853. #400C22×C61semidirect
854. #400C22×C61semidirect
855. #400C22×C61semidirect
856. #400C22×C61semidirect
858. #399C22×C61semidirect
859. #399C22×C61semidirect
860. #398C22×C61semidirect
861. #398C22×C61semidirect
862. #398C22×C61semidirect
863. #398C22×C61semidirect
864. #398C22×C61semidirect
867. #397C22×C61semidirect
868. #397C22×C61semidirect
869. #397C22×C61semidirect
870. #397C22×C61semidirect
871. #397C22×C61semidirect
872. #397C22×C61semidirect
873. #397C22×C61semidirect
874. #397C22×C61semidirect
877. #396C22×C61semidirect
878. #396C22×C61semidirect
879. #396C22×C61semidirect
880. #396C22×C61semidirect
881. #396C22×C61semidirect
890. #394C22×C61semidirect
891. #394C22×C61semidirect
892. #394C22×C61semidirect
893. #394C22×C61semidirect
895. #393C22×C61semidirect
898. #391C22×C61semidirect
899. #391C22×C61semidirect
901. #390C22×C61semidirect
902. #390C22×C61semidirect
903. #389C22×C61semidirect
910. #388C22×C61semidirect
911. #388C22×C61semidirect
912. #388C22×C61semidirect
913. #388C22×C61semidirect
914. #388C22×C61semidirect
915. #388C22×C61semidirect
916. #388C22×C61semidirect
917. #388C22×C61semidirect
918. #388C22×C61semidirect
919. #388C22×C61semidirect
920. #388C22×C61semidirect
921. #388C22×C61semidirect
922. #388C22×C61semidirect
923. #388C22×C61semidirect
924. #388C22×C61semidirect
925. #388C22×C61semidirect
926. #388C22×C61semidirect
927. #388C22×C61semidirect
928. #388C22×C61semidirect
929. #387C22×C61semidirect
930. #387C22×C61semidirect
931. #387C22×C61semidirect
932. #387C22×C61semidirect
933. #387C22×C61semidirect
948. #386C22×C61semidirect
949. #386C22×C61semidirect
950. #386C22×C61semidirect
951. #386C22×C61semidirect
952. #386C22×C61semidirect
953. #386C22×C61semidirect
954. #386C22×C61semidirect
958. #385C22×C61semidirect
959. #385C22×C61semidirect
960. #385C22×C61semidirect
961. #385C22×C61semidirect
962. #385C22×C61semidirect
963. #385C22×C61semidirect
964. #383C22×C61semidirect
965. #383C22×C61semidirect
966. #382C22×C61semidirect
967. #382C22×C61semidirect
970. #381C22×C61semidirect
971. #381C22×C61semidirect
972. #380C22×C61semidirect
973. #380C22×C61semidirect
974. #380C22×C61semidirect
975. #380C22×C61semidirect
976. #380C22×C61semidirect
983. C4×C22⋊C4C22×C61semidirect
984. C2×#95C22×C61semidirect
985. C2×#95C22×C61semidirect
986. C61#36779direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#28522
C61×#28502
C61×#27812
C61×#27782
C61×#27652
C61×#27642
C61×#27612
C61×#27562
C61×#27492
C61×#27432
C61×#27412
C61×#27352
C61×#27302
C61×#27022
C61×#26852
C61×#26842
C61×#26232
C61×#26182
C61×#25102
C61×#24882
C61×#24442
C61×#24372
C61×#24252
C61×#24122
C61×#24102
C61×#24052
C61×#23212
C61×#23082
C2×C61×#3882
#3677961