Finite Group Databasebeta

← C61×#61455 #29564888

Subgroups — C61×#61455 #29564888

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3482C211yesmaximal, characteristic, complemented
2C61×#3475C211yesmaximal, characteristic, complemented
3C61×#3402C211yesmaximal, characteristic, complemented
4C61×#3388C211yesmaximal, characteristic, complemented
5C61×#3377C211yesmaximal, characteristic, complemented
6C61×#3376C211yesmaximal, characteristic, complemented
7C61×#3348C211yesmaximal, characteristic, complemented
8C61×#3343C211yesmaximal, characteristic, complemented
9C61×#3336C211yesmaximal, characteristic, complemented
10C61×#3321C211yesmaximal, characteristic, complemented
11C61×#3315C211yesmaximal, characteristic, complemented
12C61×#3312C211yesmaximal, characteristic, complemented
13C61×#3306C211yesmaximal, characteristic, complemented
14C61×#3300C211yesmaximal, characteristic, complemented
15C61×#3296C211yesmaximal, characteristic, complemented
16C61×#3282C211yesmaximal, characteristic, complemented
17C61×#3269C211yesmaximal, characteristic, complemented
18C61×#3266C211yesmaximal, characteristic, complemented
19C61×#3183C211yesmaximal, characteristic, complemented
20C61×#3181C211yesmaximal, characteristic, complemented
21C61×#3181C211yesmaximal, characteristic, complemented
22C61×#3117C211yesmaximal, characteristic, complemented
23C61×#3116C211yesmaximal, characteristic, complemented
24C61×#3114C211yesmaximal, characteristic, complemented
25C61×#3113C211yesmaximal, characteristic, complemented
26C61×#3111C211yesmaximal, characteristic, complemented
27C61×#3111C211yesmaximal, characteristic, complemented
28C61×#2970C211yesmaximal, characteristic, complemented
29C4×#137×C61C211yesmaximal, characteristic, complemented
30C61×#2943C211yesmaximal, characteristic, complemented
31C2×C61×#440C211yesmaximal, characteristic, complemented
32C2×#137×C61C2211yescharacteristic
33C2×#135×C61C2211yescharacteristic
34C22×SD16×C61C2211yescharacteristic
35C61×#557C2211yescharacteristic, complemented
36C61×#556—21no—
37C61×#556C2211yescharacteristic
38C61×#556C2211yescharacteristic, complemented
39C61×#555C2211yescharacteristic
40C61×#554C2211yescharacteristic
41C61×#553—21no—
42C61×#552—21no—
43C61×#552—21no—
44C61×#552—21no—
45C61×#552C2211yescharacteristic
46C61×#552C2211yescharacteristic
47C61×#552C2211yescharacteristic
48C61×#552C2211yescharacteristic, complemented
49C61×#551—21no—
50C61×#551—21no—
51D4×Q8×C61C2211yescharacteristic
52C61×#548C2211yescharacteristic
53C61×#548C2211yescharacteristic, complemented
54C61×#547—21no—
55C61×#547C2211yescharacteristic
56C61×#547C2211yescharacteristic
57C61×#546C2211yescharacteristic
58C61×#546C2211yescharacteristic
59C61×#533—21no—
60C61×#533C2211yescharacteristic
61C61×#533C2211yescharacteristic, complemented
62C61×#529—21no—
63C61×#529—21no—
64C61×#529—21no—
65C61×#529—21no—
66C61×#529C2211yescharacteristic
67C61×#529C2211yescharacteristic
68C61×#529C2211yescharacteristic
69C61×#529C2211yescharacteristic, complemented
70C61×#525—21no—
71C4×#41×C61—21no—
72C4×#41×C61C2211yescharacteristic
73C4×#41×C61C2211yescharacteristic
74C4×#41×C61C2211yescharacteristic
75C4×#41×C61C2211yescharacteristic, complemented
76C2×C4×Q8×C61C2211yescharacteristic
77C2×C4×Q8×C61C2211yescharacteristic, complemented
78C2×C4×D4×C61C2211yescharacteristic
79C2×#117×C61—21no—
80C61×#501C2211yescharacteristic, complemented
81C61×#501C2211yescharacteristic, complemented
82C61×#499C2211yescharacteristic, complemented
83C61×#497C2211yescharacteristic
84C61×#497C2211yescharacteristic, complemented
85C61×#495C2211yescharacteristic
86C61×#491C2211yescharacteristic, complemented
87C61×#491C2211yescharacteristic, complemented
88C61×#489C2211yescharacteristic
89C61×#489C2211yescharacteristic, complemented
90C61×#488C2211yescharacteristic
91C61×#488C2211yescharacteristic, complemented
92C61×#485C2211yescharacteristic, complemented
93C61×#485C2211yescharacteristic, complemented
94C61×#485C2211yescharacteristic, complemented
95C61×#485C2211yescharacteristic, complemented
96C61×#484C2211yescharacteristic, complemented
97C61×#483C2211yescharacteristic
98C61×#483C2211yescharacteristic
99C61×#483C2211yescharacteristic
100C61×#482C2211yescharacteristic
101C61×#482C2211yescharacteristic, complemented
102C61×#481C2211yescharacteristic
103C61×#480C2211yescharacteristic
104C61×#479C2211yescharacteristic, complemented
105C61×#479C2211yescharacteristic, complemented
106C61×#479C2211yescharacteristic, complemented
107C61×#479C2211yescharacteristic, complemented
108C61×#478C2211yescharacteristic
109C61×#478C2211yescharacteristic
110C61×#478C2211yescharacteristic
111C61×#478C2211yescharacteristic, complemented
112C61×#477C2211yescharacteristic, complemented
113C61×#476C2211yescharacteristic
114C61×#475C2211yescharacteristic, complemented
115C61×#475C2211yescharacteristic, complemented
116C61×#470C2211yescharacteristic, complemented
117C61×#469C2211yescharacteristic
118C61×#468C2211yescharacteristic
119C61×#468C2211yescharacteristic, complemented
120C61×#467C2211yescharacteristic
121C61×#467C2211yescharacteristic
122C61×#467C2211yescharacteristic, complemented
123C61×#467C2211yescharacteristic, complemented
124C61×#465C2211yescharacteristic
125C61×#465C2211yescharacteristic
126C61×#465C2211yescharacteristic
127C61×#465C2211yescharacteristic
128C61×#464C2211yescharacteristic
129C61×#464C2211yescharacteristic
130C61×#464C2211yescharacteristic
131C61×#464C2211yescharacteristic, complemented
132C61×#463C2211yescharacteristic
133C61×#463C2211yescharacteristic
134C61×#463C2211yescharacteristic
135C61×#463C2211yescharacteristic
136C61×#462C2211yescharacteristic, complemented
137C61×#462C2211yescharacteristic, complemented
138C61×#462C2211yescharacteristic, complemented
139C61×#461C2211yescharacteristic
140C61×#452C2211yescharacteristic
141C61×#452C2211yescharacteristic
142C61×#452C2211yescharacteristic
143C61×#452C2211yescharacteristic, complemented
144C61×#451C2211yescharacteristic
145C61×#451C2211yescharacteristic
146C61×#451C2211yescharacteristic, complemented
147C61×#450C2211yescharacteristic
148C61×#449C2211yescharacteristic
149C61×#449C2211yescharacteristic
150C61×#448C2211yescharacteristic
151C61×#447C2211yescharacteristic
152C61×#446C2211yescharacteristic, complemented
153C61×#446C2211yescharacteristic, complemented
154C61×#442C2211yescharacteristic
155C61×#442C2211yescharacteristic
156C61×#442C2211yescharacteristic
157C61×#441C2211yescharacteristic, complemented
158C61×#441C2211yescharacteristic, complemented
159C61×#441C2211yescharacteristic, complemented
160C61×#441C2211yescharacteristic, complemented
161C61×#441C2211yescharacteristic, complemented
162C61×#441C2211yescharacteristic, complemented
163C61×#441C2211yescharacteristic, complemented
164C61×#440C2211yescharacteristic
165C61×#440C2211yescharacteristic
166C61×#440C2211yescharacteristic
167C61×#440C2211yescharacteristic
168C61×#440C2211yescharacteristic
169C61×#440C2211yescharacteristic
170C61×#440C2211yescharacteristic
171C61×#440C2211yescharacteristic
172C61×#440C2211yescharacteristic
173C61×#440C2211yescharacteristic
174C61×#440C2211yescharacteristic
175C61×#440C2211yescharacteristic, complemented
176C61×#440C2211yescharacteristic, complemented
177C61×#440C2211yescharacteristic, complemented
178C4×Q16×C61C2211yescharacteristic, complemented
179C4×Q16×C61C2211yescharacteristic, complemented
180C4×SD16×C61C2211yescharacteristic
181C4×SD16×C61C2211yescharacteristic
182C61×#435C2211yescharacteristic
183C61×#435C2211yescharacteristic
184C61×#435C2211yescharacteristic, complemented
185C61×#435C2211yescharacteristic, complemented
186C8×D4×C61C2211yescharacteristic
187C8×D4×C61C2211yescharacteristic
188C61×#432C2211yescharacteristic
189C61×#432C2211yescharacteristic, complemented
190C61×#432C2211yescharacteristic, complemented
191C61×#428C2211yescharacteristic, complemented
192C61×#427C2211yescharacteristic, complemented
193C2×#107×C61C2211yescharacteristic
194C61×#419C2211yescharacteristic, complemented
195C61×#417C2211yescharacteristic
196C61×#416C2211yescharacteristic
197C61×#416C2211yescharacteristic, complemented
198C2×#103×C61C2211yescharacteristic
199C2×#102×C61C2211yescharacteristic
200C4×M16×C61C2211yescharacteristic, complemented
201C2×#97×C61C2211yescharacteristic
202C2×#97×C61C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61D411yescharacteristic
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C22×Q8×C61C2311yescharacteristic
209C22×Q8×C61C2311yescharacteristic
210C22×D4×C61C2311yescharacteristic
211C23×C4×C61—21no—
212#137×C61—24no—
213#135×C61—24no—
214C2×Q16×C61C2311yescharacteristic
215C2×Q16×C61C2311yescharacteristic
216C2×Q16×C61C2311yescharacteristic
217C2×Q16×C61C2311yescharacteristic
218C2×Q16×C61C2311yescharacteristic
219C2×Q16×C61C2311yescharacteristic
220C2×SD16×C61—24no—
221C2×SD16×C61C2311yescharacteristic
222C2×SD16×C61C2311yescharacteristic
223C2×SD16×C61C2311yescharacteristic
224C2×SD16×C61C2311yescharacteristic
225C2×SD16×C61C2311yescharacteristic
226C2×SD16×C61C2311yescharacteristic
227C2×SD16×C61C2311yescharacteristic
228C2×SD16×C61C2311yescharacteristic
229C2×D8×C61C2311yescharacteristic
230C2×D8×C61C2311yescharacteristic
231C2×M16×C61C2311yescharacteristic
232C2×M16×C61C2311yescharacteristic
233C22×C8×C61C2311yescharacteristic
234C22×C8×C61C2311yescharacteristic
235C22×C8×C61C2311yescharacteristic
236C22×C8×C61C2311yescharacteristic
237C4⋊Q8×C61—21no—
238C4⋊Q8×C61—21no—
239C4⋊Q8×C61C2311yescharacteristic
240C4⋊Q8×C61C2311yescharacteristic
241C4⋊Q8×C61C2311yescharacteristic
242C4⋊Q8×C61C2311yescharacteristic
243#126×C61—21no—
244#126×C61—21no—
245#126×C61—21no—
246#126×C61—21no—
247#126×C61—21no—
248#126×C61—21no—
249#126×C61—21no—
250#126×C61—21no—
251#126×C61—21no—
252#126×C61—21no—
253#126×C61—21no—
254#126×C61—21no—
255#125×C61—21no—
256#125×C61—21no—
257#125×C61—21no—
258#125×C61—21no—
259#125×C61—21no—
260#125×C61—21no—
261#125×C61—21no—
262#125×C61—21no—
263#125×C61C2311yescharacteristic
264#125×C61C2311yescharacteristic
265#125×C61C2311yescharacteristic
266#125×C61C2311yescharacteristic
267#124×C61—21no—
268#124×C61—21no—
269#124×C61—21no—
270#124×C61—21no—
271#124×C61C2311yescharacteristic
272#124×C61C2311yescharacteristic
273#124×C61C2311yescharacteristic
274#124×C61C2311yescharacteristic
275#123×C61—21no—
276#123×C61—21no—
277#123×C61—21no—
278#123×C61—21no—
279#123×C61—21no—
280#123×C61—21no—
281#123×C61—21no—
282#123×C61—21no—
283#123×C61—21no—
284#123×C61—21no—
285#123×C61—21no—
286#123×C61—21no—
287#123×C61—21no—
288#123×C61—21no—
289C22⋊Q8×C61—21no—
290C22⋊Q8×C61—21no—
291C22⋊Q8×C61—21no—
292C22⋊Q8×C61—21no—
293C22⋊Q8×C61—21no—
294C22⋊Q8×C61—21no—
295C22⋊Q8×C61—21no—
296C22⋊Q8×C61—21no—
297C22⋊Q8×C61—21no—
298C22⋊Q8×C61—21no—
299C22⋊Q8×C61—21no—
300C22⋊Q8×C61—21no—
301C22⋊Q8×C61C2311yescharacteristic
302C22⋊Q8×C61C2311yescharacteristic
303C22⋊Q8×C61C2311yescharacteristic
304C22⋊Q8×C61C2311yescharacteristic
305C22⋊Q8×C61C2311yescharacteristic
306C22⋊Q8×C61C2311yescharacteristic
307C22⋊Q8×C61C2311yescharacteristic
308C22⋊Q8×C61C2311yescharacteristic
309#121×C61—21no—
310#121×C61—21no—
311#121×C61—21no—
312#121×C61—21no—
313#121×C61—21no—
314#121×C61—21no—
315#121×C61C2311yescharacteristic
316#121×C61C2311yescharacteristic
317#121×C61C2311yescharacteristic
318#121×C61C2311yescharacteristic
319#120×C61—21no—
320#120×C61—21no—
321C4×Q8×C61—21no—
322C4×Q8×C61—21no—
323C4×Q8×C61—21no—
324C4×Q8×C61—21no—
325C4×Q8×C61—21no—
326C4×Q8×C61—21no—
327C4×Q8×C61—21no—
328C4×Q8×C61D411yescharacteristic
329C4×Q8×C61C2311yescharacteristic
330C4×Q8×C61C2311yescharacteristic
331C4×Q8×C61C2311yescharacteristic
332C4×Q8×C61C2311yescharacteristic
333C4×Q8×C61C2311yescharacteristic
334C4×Q8×C61C2311yescharacteristic
335C4×Q8×C61C2311yescharacteristic
336C4×Q8×C61C2311yescharacteristic
337C4×Q8×C61C2311yescharacteristic
338C4×Q8×C61C2311yescharacteristic
339C4×Q8×C61C2311yescharacteristic
340C4×Q8×C61C2311yescharacteristic
341C4×Q8×C61C2311yescharacteristic
342C4×D4×C61—21no—
343C4×D4×C61—21no—
344C4×D4×C61—21no—
345C4×D4×C61—21no—
346C4×D4×C61—21no—
347C4×D4×C61—21no—
348C4×D4×C61—21no—
349C4×D4×C61—21no—
350C4×D4×C61—21no—
351C4×D4×C61—21no—
352C4×D4×C61—21no—
353C4×D4×C61—21no—
354C4×D4×C61—21no—
355C4×D4×C61—21no—
356C4×D4×C61—21no—
357C4×D4×C61D411yescharacteristic
358C4×D4×C61D411yescharacteristic
359C4×D4×C61D411yescharacteristic
360C4×D4×C61C2311yescharacteristic
361C4×D4×C61C2311yescharacteristic
362C4×D4×C61C2311yescharacteristic
363C4×D4×C61C2311yescharacteristic
364C4×D4×C61C2311yescharacteristic
365C4×D4×C61C2311yescharacteristic
366C4×D4×C61C2311yescharacteristic
367C4×D4×C61C2311yescharacteristic
368C4×D4×C61C2311yescharacteristic
369C4×D4×C61C2311yescharacteristic
370C4×D4×C61C2311yescharacteristic
371#117×C61—21no—
372#117×C61—21no—
373#117×C61—21no—
374#117×C61—21no—
375#117×C61—21no—
376#117×C61—21no—
377#117×C61—21no—
378#117×C61—21no—
379#117×C61—21no—
380#117×C61—21no—
381#117×C61—21no—
382#117×C61—21no—
383#117×C61—21no—
384#117×C61—21no—
385#117×C61—21no—
386#117×C61—21no—
387#117×C61D411yescharacteristic
388#117×C61D411yescharacteristic
389#117×C61D411yescharacteristic
390#117×C61C2311yescharacteristic
391#117×C61C2311yescharacteristic
392#117×C61C2311yescharacteristic
393C2×C4⋊C4×C61—21no—
394C2×C4⋊C4×C61—21no—
395C2×C4⋊C4×C61—21no—
396C2×C4⋊C4×C61—21no—
397C2×C4⋊C4×C61C2311yescharacteristic
398C2×C4⋊C4×C61C2311yescharacteristic
399C2×C4⋊C4×C61C2311yescharacteristic
400C2×C22⋊C4×C61—21no—
401C2×C22⋊C4×C61—21no—
402C2×C22⋊C4×C61—21no—
403C2×C42×C61—21no—
404C2×C42×C61—21no—
405C2×C42×C61—21no—
406C2×C42×C61—21no—
407C2×C42×C61—21no—
408C2×C42×C61C2311yescharacteristic
409C2×C42×C61C2311yescharacteristic
410C2×C42×C61C2311yescharacteristic
411#107×C61C2311yescharacteristic
412#107×C61C2311yescharacteristic
413#107×C61C2311yescharacteristic
414#107×C61C2311yescharacteristic
415#107×C61C2311yescharacteristic
416#107×C61C2311yescharacteristic
417#107×C61C2311yescharacteristic
418#107×C61C2311yescharacteristic
419#106×C61C2311yescharacteristic
420#106×C61C2311yescharacteristic
421#106×C61C2311yescharacteristic
422#106×C61C2311yescharacteristic
423#106×C61C2311yescharacteristic
424#106×C61C2311yescharacteristic
425#106×C61C2311yescharacteristic
426#106×C61C2311yescharacteristic
427C4⋊C8×C61C2311yescharacteristic
428C4⋊C8×C61C2311yescharacteristic
429C4⋊C8×C61C2311yescharacteristic
430C4⋊C8×C61C2311yescharacteristic
431C4⋊C8×C61C2311yescharacteristic
432C4⋊C8×C61C2311yescharacteristic
433#103×C61C2311yescharacteristic
434#103×C61C2311yescharacteristic
435#103×C61C2311yescharacteristic
436#103×C61C2311yescharacteristic
437#103×C61C2311yescharacteristic
438#103×C61C2311yescharacteristic
439#103×C61C2311yescharacteristic
440#103×C61C2311yescharacteristic
441#103×C61C2311yescharacteristic
442#103×C61C2311yescharacteristic
443#103×C61C2311yescharacteristic
444#103×C61C2311yescharacteristic
445#103×C61C2311yescharacteristic
446#103×C61C2311yescharacteristic
447#103×C61C2311yescharacteristic
448#103×C61C2311yescharacteristic
449#103×C61C2311yescharacteristic
450#103×C61C2311yescharacteristic
451#103×C61C2311yescharacteristic
452#103×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462#102×C61C2311yescharacteristic
463#102×C61C2311yescharacteristic
464#102×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471#97×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C24×C61—21no—
482#41×C61—22no—
483#41×C61—22no—
484#41×C61—22no—
485#41×C61—42no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—44no—
490C2×Q8×C61—21no—
491C2×Q8×C61—21no—
492C2×Q8×C61—21no—
493C2×Q8×C61—21no—
494C2×Q8×C61—22no—
495C2×Q8×C61—22no—
496C2×Q8×C61—41no—
497C2×Q8×C61—41no—
498C2×Q8×C61C2×D411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
503C2×Q8×C61C2411yescharacteristic
504C2×D4×C61—22no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—41no—
514C2×D4×C61C2×D411yescharacteristic
515C2×D4×C61C2×D411yescharacteristic
516C2×D4×C61C2×D411yescharacteristic
517C2×D4×C61C2411yescharacteristic
518C2×D4×C61C2411yescharacteristic
519C2×D4×C61C2411yescharacteristic
520C22×C4×C61—21no—
521C22×C4×C61—21no—
522C22×C4×C61—21no—
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61—21no—
528C22×C4×C61—21no—
529C22×C4×C61—21no—
530C22×C4×C61—21no—
531C22×C4×C61—21no—
532C22×C4×C61—21no—
533C22×C4×C61—21no—
534C22×C4×C61—21no—
535C22×C4×C61—21no—
536C22×C4×C61—44no—
537C22×C4×C61C2×D411yescharacteristic
538C22×C4×C61C2×D411yescharacteristic
539C22×C4×C61C2×D411yescharacteristic
540C22×C4×C61C2×D411yescharacteristic
541C22×C4×C61C2×D411yescharacteristic
542C22×C4×C61C2×D411yescharacteristic
543C22×C4×C61C2411yescharacteristic
544C22×C4×C61C2411yescharacteristic
545C22×C4×C61C2411yescharacteristic
546Q16×C61—22no—
547Q16×C61—22no—
548Q16×C61—22no—
549Q16×C61—41no—
550Q16×C61—41no—
551Q16×C61—41no—
552SD16×C61—22no—
553SD16×C61—22no—
554SD16×C61—22no—
555SD16×C61—22no—
556SD16×C61—22no—
557SD16×C61—41no—
558SD16×C61—41no—
559SD16×C61#4114yescomplemented
560D8×C61—22no—
561D8×C61—41no—
562M16×C61—22no—
563M16×C61—41no—
564C2×C8×C61—22no—
565C2×C8×C61—22no—
566C2×C8×C61—41no—
567C2×C8×C61—41no—
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2×D411yescharacteristic
615C4⋊C4×C61C2×D411yescharacteristic
616C4⋊C4×C61C2×D411yescharacteristic
617C4⋊C4×C61C2×D411yescharacteristic
618C4⋊C4×C61C2×D411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C4⋊C4×C61C2411yescharacteristic
626C4⋊C4×C61C2411yescharacteristic
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61C2×D411yescharacteristic
659C22⋊C4×C61C2×D411yescharacteristic
660C22⋊C4×C61C2×D411yescharacteristic
661C22⋊C4×C61C2×D411yescharacteristic
662C22⋊C4×C61C2×D411yescharacteristic
663C22⋊C4×C61C2×D411yescharacteristic
664C42×C61—21no—
665C42×C61—21no—
666C42×C61—21no—
667C42×C61—21no—
668C42×C61—21no—
669C42×C61—21no—
670C42×C61—21no—
671C42×C61—21no—
672C42×C61—21no—
673C42×C61—21no—
674C42×C61—21no—
675C42×C61—21no—
676C42×C61—21no—
677C42×C61—21no—
678C42×C61—21no—
679C42×C61C2×D411yescharacteristic
680C42×C61C2×D411yescharacteristic
681C42×C61C2×D411yescharacteristic
682C42×C61C2×D411yescharacteristic
683C42×C61C2×D411yescharacteristic
684C42×C61C2×D411yescharacteristic
685C42×C61C2411yescharacteristic
686C42×C61C2411yescharacteristic
687C42×C61C2411yescharacteristic
688C42×C61C2411yescharacteristic
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—42no—
693C23×C61—42no—
694C23×C61—81no—
695C23×C61C22×D411yescharacteristic
696C23×C61C22×D411yescharacteristic
697C23×C61C22×D411yescharacteristic
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—21no—
704Q8×C61—21no—
705Q8×C61—21no—
706Q8×C61—21no—
707Q8×C61—41no—
708Q8×C61—42no—
709Q8×C61—42no—
710Q8×C61—42no—
711Q8×C61—81no—
712Q8×C61C2×#4112yes—
713D4×C61—22no—
714D4×C61—22no—
715D4×C61—21no—
716D4×C61—21no—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—41no—
721D4×C61—42no—
722D4×C61—42no—
723D4×C61—42no—
724D4×C61—42no—
725D4×C61—42no—
726D4×C61—42no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61C2×#4112yes—
730C2×C4×C61—22no—
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—41no—
751C2×C4×C61—41no—
752C2×C4×C61—41no—
753C2×C4×C61—41no—
754C2×C4×C61—41no—
755C2×C4×C61—42no—
756C2×C4×C61—42no—
757C2×C4×C61—42no—
758C2×C4×C61—42no—
759C2×C4×C61—42no—
760C2×C4×C61—42no—
761C2×C4×C61—42no—
762C2×C4×C61—42no—
763C2×C4×C61—42no—
764C2×C4×C61—42no—
765C2×C4×C61—42no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
768C2×C4×C61—42no—
769C2×C4×C61—81no—
770C2×C4×C61—81no—
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C2511yescharacteristic
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61C2×#4112yes—
791#61455C6111yesmaximal, characteristic, direct product factor, Sylow
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—22no—
799C22×C61—21no—
800C22×C61—21no—
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—84no—
810C22×C61#57512yes—
811C22×C61C23×D411yescharacteristic
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—21no—
819C4×C61—22no—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61C22×#4111yescharacteristic
837C4×C61#58511yescharacteristic
838#3482C2×C6111yescharacteristic, complemented
839#3475C2×C6111yescharacteristic, complemented
840#3402C2×C6111yescharacteristic, complemented
841#3388C2×C6111yescharacteristic, complemented
842#3377C2×C6111yescharacteristic, complemented
843#3376C2×C6111yescharacteristic, complemented
844#3348C2×C6111yescharacteristic, complemented
845#3343C2×C6111yescharacteristic, complemented
846#3336C2×C6111yescharacteristic, complemented
847#3321C2×C6111yescharacteristic, complemented
848#3315C2×C6111yescharacteristic, complemented
849#3312C2×C6111yescharacteristic, complemented
850#3306C2×C6111yescharacteristic, complemented
851#3300C2×C6111yescharacteristic, complemented
852#3296C2×C6111yescharacteristic, complemented
853#3282C2×C6111yescharacteristic, complemented
854#3269C2×C6111yescharacteristic, complemented
855#3266C2×C6111yescharacteristic, complemented
856#3183C2×C6111yescharacteristic, complemented
857#3181C2×C6111yescharacteristic, complemented
858#3181C2×C6111yescharacteristic, complemented
859#3117C2×C6111yescharacteristic, complemented
860#3116C2×C6111yescharacteristic, complemented
861#3114C2×C6111yescharacteristic, complemented
862#3113C2×C6111yescharacteristic, complemented
863#3111C2×C6111yescharacteristic, complemented
864#3111C2×C6111yescharacteristic, complemented
865#2970C2×C6111yescharacteristic, complemented
866C4×#137C2×C6111yescharacteristic, complemented
867#2943C2×C6111yescharacteristic, complemented
868C2×#440C2×C6111yescharacteristic, complemented
869C2×C61—22no—
870C2×C61—41no—
871C2×C61—41no—
872C2×C61—42no—
873C2×C61—81no—
874C2×C61—81no—
875C2×C61D4×#4111yescharacteristic
876C2×C61C2×#57511yescharacteristic
877C2×C61#358611yescharacteristic
878C2×#137C22×C6111yescharacteristic
879C2×#135C22×C6111yescharacteristic
880C22×SD16C22×C6111yescharacteristic
881#557C22×C6111yescharacteristic, complemented
882#556—21no—
883#556C22×C6111yescharacteristic
884#556C22×C6111yescharacteristic, complemented
885#555C22×C6111yescharacteristic
886#554C22×C6111yescharacteristic
887#553—21no—
888#552—21no—
889#552—21no—
890#552—21no—
891#552C22×C6111yescharacteristic
892#552C22×C6111yescharacteristic
893#552C22×C6111yescharacteristic
894#552C22×C6111yescharacteristic, complemented
895#551—21no—
896#551—21no—
897D4×Q8C22×C6111yescharacteristic
898#548C22×C6111yescharacteristic
899#548C22×C6111yescharacteristic, complemented
900#547—21no—
901#547C22×C6111yescharacteristic
902#547C22×C6111yescharacteristic
903#546C22×C6111yescharacteristic
904#546C22×C6111yescharacteristic
905#533—21no—
906#533C22×C6111yescharacteristic
907#533C22×C6111yescharacteristic, complemented
908#529—21no—
909#529—21no—
910#529—21no—
911#529—21no—
912#529C22×C6111yescharacteristic
913#529C22×C6111yescharacteristic
914#529C22×C6111yescharacteristic
915#529C22×C6111yescharacteristic, complemented
916#525—21no—
917C4×#41—21no—
918C4×#41C22×C6111yescharacteristic
919C4×#41C22×C6111yescharacteristic
920C4×#41C22×C6111yescharacteristic
921C4×#41C22×C6111yescharacteristic, complemented
922C2×C4×Q8C22×C6111yescharacteristic
923C2×C4×Q8C22×C6111yescharacteristic, complemented
924C2×C4×D4C22×C6111yescharacteristic
925C2×#117—21no—
926#501C22×C6111yescharacteristic, complemented
927#501C22×C6111yescharacteristic, complemented
928#499C22×C6111yescharacteristic, complemented
929#497C22×C6111yescharacteristic
930#497C22×C6111yescharacteristic, complemented
931#495C22×C6111yescharacteristic
932#491C22×C6111yescharacteristic, complemented
933#491C22×C6111yescharacteristic, complemented
934#489C22×C6111yescharacteristic
935#489C22×C6111yescharacteristic, complemented
936#488C22×C6111yescharacteristic
937#488C22×C6111yescharacteristic, complemented
938#485C22×C6111yescharacteristic, complemented
939#485C22×C6111yescharacteristic, complemented
940#485C22×C6111yescharacteristic, complemented
941#485C22×C6111yescharacteristic, complemented
942#484C22×C6111yescharacteristic, complemented
943#483C22×C6111yescharacteristic
944#483C22×C6111yescharacteristic
945#483C22×C6111yescharacteristic
946#482C22×C6111yescharacteristic
947#482C22×C6111yescharacteristic, complemented
948#481C22×C6111yescharacteristic
949#480C22×C6111yescharacteristic
950#479C22×C6111yescharacteristic, complemented
951#479C22×C6111yescharacteristic, complemented
952#479C22×C6111yescharacteristic, complemented
953#479C22×C6111yescharacteristic, complemented
954#478C22×C6111yescharacteristic
955#478C22×C6111yescharacteristic
956#478C22×C6111yescharacteristic
957#478C22×C6111yescharacteristic, complemented
958#477C22×C6111yescharacteristic, complemented
959#476C22×C6111yescharacteristic
960#475C22×C6111yescharacteristic, complemented
961#475C22×C6111yescharacteristic, complemented
962#470C22×C6111yescharacteristic, complemented
963#469C22×C6111yescharacteristic
964#468C22×C6111yescharacteristic
965#468C22×C6111yescharacteristic, complemented
966#467C22×C6111yescharacteristic
967#467C22×C6111yescharacteristic
968#467C22×C6111yescharacteristic, complemented
969#467C22×C6111yescharacteristic, complemented
970#465C22×C6111yescharacteristic
971#465C22×C6111yescharacteristic
972#465C22×C6111yescharacteristic
973#465C22×C6111yescharacteristic
974#464C22×C6111yescharacteristic
975#464C22×C6111yescharacteristic
976#464C22×C6111yescharacteristic
977#464C22×C6111yescharacteristic, complemented
978#463C22×C6111yescharacteristic
979#463C22×C6111yescharacteristic
980#463C22×C6111yescharacteristic
981#463C22×C6111yescharacteristic
982#462C22×C6111yescharacteristic, complemented
983#462C22×C6111yescharacteristic, complemented
984#462C22×C6111yescharacteristic, complemented
985#461C22×C6111yescharacteristic
986#452C22×C6111yescharacteristic
987#452C22×C6111yescharacteristic
988#452C22×C6111yescharacteristic
989#452C22×C6111yescharacteristic, complemented
990#451C22×C6111yescharacteristic
991#451C22×C6111yescharacteristic
992#451C22×C6111yescharacteristic, complemented
993#450C22×C6111yescharacteristic
994#449C22×C6111yescharacteristic
995#449C22×C6111yescharacteristic
996#448C22×C6111yescharacteristic
997#447C22×C6111yescharacteristic
998#446C22×C6111yescharacteristic, complemented
999#446C22×C6111yescharacteristic, complemented
1000#442C22×C6111yescharacteristic
1001#442C22×C6111yescharacteristic
1002#442C22×C6111yescharacteristic
1003#441C22×C6111yescharacteristic, complemented
1004#441C22×C6111yescharacteristic, complemented
1005#441C22×C6111yescharacteristic, complemented
1006#441C22×C6111yescharacteristic, complemented
1007#441C22×C6111yescharacteristic, complemented
1008#441C22×C6111yescharacteristic, complemented
1009#441C22×C6111yescharacteristic, complemented
1010#440C22×C6111yescharacteristic
1011#440C22×C6111yescharacteristic
1012#440C22×C6111yescharacteristic
1013#440C22×C6111yescharacteristic
1014#440C22×C6111yescharacteristic
1015#440C22×C6111yescharacteristic
1016#440C22×C6111yescharacteristic
1017#440C22×C6111yescharacteristic
1018#440C22×C6111yescharacteristic
1019#440C22×C6111yescharacteristic
1020#440C22×C6111yescharacteristic
1021#440C22×C6111yescharacteristic, complemented
1022#440C22×C6111yescharacteristic, complemented
1023#440C22×C6111yescharacteristic, complemented
1024C4×Q16C22×C6111yescharacteristic, complemented
1025C4×Q16C22×C6111yescharacteristic, complemented
1026C4×SD16C22×C6111yescharacteristic
1027C4×SD16C22×C6111yescharacteristic
1028#435C22×C6111yescharacteristic
1029#435C22×C6111yescharacteristic
1030#435C22×C6111yescharacteristic, complemented
1031#435C22×C6111yescharacteristic, complemented
1032C8×D4C22×C6111yescharacteristic
1033C8×D4C22×C6111yescharacteristic
1034#432C22×C6111yescharacteristic
1035#432C22×C6111yescharacteristic, complemented
1036#432C22×C6111yescharacteristic, complemented
1037#428C22×C6111yescharacteristic, complemented
1038#427C22×C6111yescharacteristic, complemented
1039C2×#107C22×C6111yescharacteristic
1040#419C22×C6111yescharacteristic, complemented
1041#417C22×C6111yescharacteristic
1042#416C22×C6111yescharacteristic
1043#416C22×C6111yescharacteristic, complemented
1044C2×#103C22×C6111yescharacteristic
1045C2×#102C22×C6111yescharacteristic
1046C4×M16C22×C6111yescharacteristic, complemented
1047C2×#97C22×C6111yescharacteristic
1048C2×#97C22×C6111yescharacteristic, complemented
1049C61#6145511yescharacteristic, direct product factor, Sylow
1050C2×#41—21no—
1051C2×#41D4×C6111yescharacteristic
1052C2×#41C23×C6111yescharacteristic
1053C2×#41C23×C6111yescharacteristic
1054C2×#41C23×C6111yescharacteristic
1055C22×Q8C23×C6111yescharacteristic
1056C22×Q8C23×C6111yescharacteristic
1057C22×D4C23×C6111yescharacteristic
1058C23×C4—21no—
1059#137—24no—
1060#135—24no—
1061C2×Q16C23×C6111yescharacteristic
1062C2×Q16C23×C6111yescharacteristic
1063C2×Q16C23×C6111yescharacteristic
1064C2×Q16C23×C6111yescharacteristic
1065C2×Q16C23×C6111yescharacteristic
1066C2×Q16C23×C6111yescharacteristic
1067C2×SD16—24no—
1068C2×SD16C23×C6111yescharacteristic
1069C2×SD16C23×C6111yescharacteristic
1070C2×SD16C23×C6111yescharacteristic
1071C2×SD16C23×C6111yescharacteristic
1072C2×SD16C23×C6111yescharacteristic
1073C2×SD16C23×C6111yescharacteristic
1074C2×SD16C23×C6111yescharacteristic
1075C2×SD16C23×C6111yescharacteristic
1076C2×D8C23×C6111yescharacteristic
1077C2×D8C23×C6111yescharacteristic
1078C2×M16C23×C6111yescharacteristic
1079C2×M16C23×C6111yescharacteristic
1080C22×C8C23×C6111yescharacteristic
1081C22×C8C23×C6111yescharacteristic
1082C22×C8C23×C6111yescharacteristic
1083C22×C8C23×C6111yescharacteristic
1084C4⋊Q8—21no—
1085C4⋊Q8—21no—
1086C4⋊Q8C23×C6111yescharacteristic
1087C4⋊Q8C23×C6111yescharacteristic
1088C4⋊Q8C23×C6111yescharacteristic
1089C4⋊Q8C23×C6111yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125C23×C6111yescharacteristic
1111#125C23×C6111yescharacteristic
1112#125C23×C6111yescharacteristic
1113#125C23×C6111yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124C23×C6111yescharacteristic
1119#124C23×C6111yescharacteristic
1120#124C23×C6111yescharacteristic
1121#124C23×C6111yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8C23×C6111yescharacteristic
1149C22⋊Q8C23×C6111yescharacteristic
1150C22⋊Q8C23×C6111yescharacteristic
1151C22⋊Q8C23×C6111yescharacteristic
1152C22⋊Q8C23×C6111yescharacteristic
1153C22⋊Q8C23×C6111yescharacteristic
1154C22⋊Q8C23×C6111yescharacteristic
1155C22⋊Q8C23×C6111yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121C23×C6111yescharacteristic
1163#121C23×C6111yescharacteristic
1164#121C23×C6111yescharacteristic
1165#121C23×C6111yescharacteristic
1166#120—21no—
1167#120—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8D4×C6111yescharacteristic
1176C4×Q8C23×C6111yescharacteristic
1177C4×Q8C23×C6111yescharacteristic
1178C4×Q8C23×C6111yescharacteristic
1179C4×Q8C23×C6111yescharacteristic
1180C4×Q8C23×C6111yescharacteristic
1181C4×Q8C23×C6111yescharacteristic
1182C4×Q8C23×C6111yescharacteristic
1183C4×Q8C23×C6111yescharacteristic
1184C4×Q8C23×C6111yescharacteristic
1185C4×Q8C23×C6111yescharacteristic
1186C4×Q8C23×C6111yescharacteristic
1187C4×Q8C23×C6111yescharacteristic
1188C4×Q8C23×C6111yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4D4×C6111yescharacteristic
1205C4×D4D4×C6111yescharacteristic
1206C4×D4D4×C6111yescharacteristic
1207C4×D4C23×C6111yescharacteristic
1208C4×D4C23×C6111yescharacteristic
1209C4×D4C23×C6111yescharacteristic
1210C4×D4C23×C6111yescharacteristic
1211C4×D4C23×C6111yescharacteristic
1212C4×D4C23×C6111yescharacteristic
1213C4×D4C23×C6111yescharacteristic
1214C4×D4C23×C6111yescharacteristic
1215C4×D4C23×C6111yescharacteristic
1216C4×D4C23×C6111yescharacteristic
1217C4×D4C23×C6111yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117D4×C6111yescharacteristic
1235#117D4×C6111yescharacteristic
1236#117D4×C6111yescharacteristic
1237#117C23×C6111yescharacteristic
1238#117C23×C6111yescharacteristic
1239#117C23×C6111yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4C23×C6111yescharacteristic
1245C2×C4⋊C4C23×C6111yescharacteristic
1246C2×C4⋊C4C23×C6111yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—21no—
1253C2×C42—21no—
1254C2×C42—21no—
1255C2×C42C23×C6111yescharacteristic
1256C2×C42C23×C6111yescharacteristic
1257C2×C42C23×C6111yescharacteristic
1258#107C23×C6111yescharacteristic
1259#107C23×C6111yescharacteristic
1260#107C23×C6111yescharacteristic
1261#107C23×C6111yescharacteristic
1262#107C23×C6111yescharacteristic
1263#107C23×C6111yescharacteristic
1264#107C23×C6111yescharacteristic
1265#107C23×C6111yescharacteristic
1266#106C23×C6111yescharacteristic
1267#106C23×C6111yescharacteristic
1268#106C23×C6111yescharacteristic
1269#106C23×C6111yescharacteristic
1270#106C23×C6111yescharacteristic
1271#106C23×C6111yescharacteristic
1272#106C23×C6111yescharacteristic
1273#106C23×C6111yescharacteristic
1274C4⋊C8C23×C6111yescharacteristic
1275C4⋊C8C23×C6111yescharacteristic
1276C4⋊C8C23×C6111yescharacteristic
1277C4⋊C8C23×C6111yescharacteristic
1278C4⋊C8C23×C6111yescharacteristic
1279C4⋊C8C23×C6111yescharacteristic
1280#103C23×C6111yescharacteristic
1281#103C23×C6111yescharacteristic
1282#103C23×C6111yescharacteristic
1283#103C23×C6111yescharacteristic
1284#103C23×C6111yescharacteristic
1285#103C23×C6111yescharacteristic
1286#103C23×C6111yescharacteristic
1287#103C23×C6111yescharacteristic
1288#103C23×C6111yescharacteristic
1289#103C23×C6111yescharacteristic
1290#103C23×C6111yescharacteristic
1291#103C23×C6111yescharacteristic
1292#103C23×C6111yescharacteristic
1293#103C23×C6111yescharacteristic
1294#103C23×C6111yescharacteristic
1295#103C23×C6111yescharacteristic
1296#103C23×C6111yescharacteristic
1297#103C23×C6111yescharacteristic
1298#103C23×C6111yescharacteristic
1299#103C23×C6111yescharacteristic
1300#102C23×C6111yescharacteristic
1301#102C23×C6111yescharacteristic
1302#102C23×C6111yescharacteristic
1303#102C23×C6111yescharacteristic
1304#102C23×C6111yescharacteristic
1305#102C23×C6111yescharacteristic
1306#102C23×C6111yescharacteristic
1307#102C23×C6111yescharacteristic
1308#102C23×C6111yescharacteristic
1309#102C23×C6111yescharacteristic
1310#102C23×C6111yescharacteristic
1311#102C23×C6111yescharacteristic
1312C22⋊C8C23×C6111yescharacteristic
1313C22⋊C8C23×C6111yescharacteristic
1314C22⋊C8C23×C6111yescharacteristic
1315C22⋊C8C23×C6111yescharacteristic
1316C22⋊C8C23×C6111yescharacteristic
1317C22⋊C8C23×C6111yescharacteristic
1318#97C23×C6111yescharacteristic
1319#97C23×C6111yescharacteristic
1320#97C23×C6111yescharacteristic
1321#97C23×C6111yescharacteristic
1322#97C23×C6111yescharacteristic
1323#97C23×C6111yescharacteristic
1324#97C23×C6111yescharacteristic
1325#97C23×C6111yescharacteristic
1326C4×C8C23×C6111yescharacteristic
1327C4×C8C23×C6111yescharacteristic
1328C24—21no—
1329#41—22no—
1330#41—22no—
1331#41—22no—
1332#41—42no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—44no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—41no—
1344C2×Q8—41no—
1345C2×Q8C2×D4×C6111yescharacteristic
1346C2×Q8C24×C6111yescharacteristic
1347C2×Q8C24×C6111yescharacteristic
1348C2×Q8C24×C6111yescharacteristic
1349C2×Q8C24×C6111yescharacteristic
1350C2×Q8C24×C6111yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—41no—
1361C2×D4C2×D4×C6111yescharacteristic
1362C2×D4C2×D4×C6111yescharacteristic
1363C2×D4C2×D4×C6111yescharacteristic
1364C2×D4C24×C6111yescharacteristic
1365C2×D4C24×C6111yescharacteristic
1366C2×D4C24×C6111yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—44no—
1384C22×C4C2×D4×C6111yescharacteristic
1385C22×C4C2×D4×C6111yescharacteristic
1386C22×C4C2×D4×C6111yescharacteristic
1387C22×C4C2×D4×C6111yescharacteristic
1388C22×C4C2×D4×C6111yescharacteristic
1389C22×C4C2×D4×C6111yescharacteristic
1390C22×C4C24×C6111yescharacteristic
1391C22×C4C24×C6111yescharacteristic
1392C22×C4C24×C6111yescharacteristic
1393Q16—22no—
1394Q16—22no—
1395Q16—22no—
1396Q16—41no—
1397Q16—41no—
1398Q16—41no—
1399SD16—22no—
1400SD16—22no—
1401SD16—22no—
1402SD16—22no—
1403SD16—22no—
1404SD16—41no—
1405SD16—41no—
1406SD16#41×C6114yescomplemented
1407D8—22no—
1408D8—41no—
1409M16—22no—
1410M16—41no—
1411C2×C8—22no—
1412C2×C8—22no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C6111yescharacteristic
1416C2×C8C24×C6111yescharacteristic
1417C2×C8C24×C6111yescharacteristic
1418C2×C8C24×C6111yescharacteristic
1419C2×C8C24×C6111yescharacteristic
1420C2×C8C24×C6111yescharacteristic
1421C2×C8C24×C6111yescharacteristic
1422C2×C8C24×C6111yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4C2×D4×C6111yescharacteristic
1461C4⋊C4C2×D4×C6111yescharacteristic
1462C4⋊C4C2×D4×C6111yescharacteristic
1463C4⋊C4C2×D4×C6111yescharacteristic
1464C4⋊C4C2×D4×C6111yescharacteristic
1465C4⋊C4C2×D4×C6111yescharacteristic
1466C4⋊C4C24×C6111yescharacteristic
1467C4⋊C4C24×C6111yescharacteristic
1468C4⋊C4C24×C6111yescharacteristic
1469C4⋊C4C24×C6111yescharacteristic
1470C4⋊C4C24×C6111yescharacteristic
1471C4⋊C4C24×C6111yescharacteristic
1472C4⋊C4C24×C6111yescharacteristic
1473C4⋊C4C24×C6111yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4C2×D4×C6111yescharacteristic
1506C22⋊C4C2×D4×C6111yescharacteristic
1507C22⋊C4C2×D4×C6111yescharacteristic
1508C22⋊C4C2×D4×C6111yescharacteristic
1509C22⋊C4C2×D4×C6111yescharacteristic
1510C22⋊C4C2×D4×C6111yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42C2×D4×C6111yescharacteristic
1527C42C2×D4×C6111yescharacteristic
1528C42C2×D4×C6111yescharacteristic
1529C42C2×D4×C6111yescharacteristic
1530C42C2×D4×C6111yescharacteristic
1531C42C2×D4×C6111yescharacteristic
1532C42C24×C6111yescharacteristic
1533C42C24×C6111yescharacteristic
1534C42C24×C6111yescharacteristic
1535C42C24×C6111yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—42no—
1540C23—42no—
1541C23—81no—
1542C23C22×D4×C6111yescharacteristic
1543C23C22×D4×C6111yescharacteristic
1544C23C22×D4×C6111yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—41no—
1555Q8—42no—
1556Q8—42no—
1557Q8—42no—
1558Q8—81no—
1559Q8C2×#41×C6112yes—
1560D4—22no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—41no—
1568D4—42no—
1569D4—42no—
1570D4—42no—
1571D4—42no—
1572D4—42no—
1573D4—42no—
1574D4—81no—
1575D4—81no—
1576D4C2×#41×C6112yes—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4C22×D4×C6111yescharacteristic
1619C2×C4C22×D4×C6111yescharacteristic
1620C2×C4C22×D4×C6111yescharacteristic
1621C2×C4C22×D4×C6111yescharacteristic
1622C2×C4C22×D4×C6111yescharacteristic
1623C2×C4C22×D4×C6111yescharacteristic
1624C2×C4C22×D4×C6111yescharacteristic
1625C2×C4C22×D4×C6111yescharacteristic
1626C2×C4C22×D4×C6111yescharacteristic
1627C2×C4C22×D4×C6111yescharacteristic
1628C2×C4C22×D4×C6111yescharacteristic
1629C2×C4C25×C6111yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8C2×#41×C6112yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—22no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—84no—
1656C22C61×#57512yes—
1657C22C23×D4×C6111yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—22no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4C22×#41×C6111yescharacteristic
1683C4C61×#58511yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—81no—
1690C2D4×#41×C6111yescharacteristic
1691C2C2×C61×#57511yescharacteristic
1692C2C61×#358611yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C4×#41×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3482C2semidirect
2. C61×#3475C2semidirect
3. C61×#3402C2semidirect
4. C61×#3388C2semidirect
5. C61×#3377C2semidirect
6. C61×#3376C2semidirect
7. C61×#3348C2semidirect
8. C61×#3343C2semidirect
9. C61×#3336C2semidirect
10. C61×#3321C2semidirect
11. C61×#3315C2semidirect
12. C61×#3312C2semidirect
13. C61×#3306C2semidirect
14. C61×#3300C2semidirect
15. C61×#3296C2semidirect
16. C61×#3282C2semidirect
17. C61×#3269C2semidirect
18. C61×#3266C2semidirect
19. C61×#3183C2semidirect
20. C61×#3181C2semidirect
21. C61×#3181C2semidirect
22. C61×#3117C2semidirect
23. C61×#3116C2semidirect
24. C61×#3114C2semidirect
25. C61×#3113C2semidirect
26. C61×#3111C2semidirect
27. C61×#3111C2semidirect
28. C61×#2970C2semidirect
29. C4×#137×C61C2semidirect
30. C61×#2943C2semidirect
31. C2×C61×#440C2semidirect
35. C61×#557C22semidirect
38. C61×#556C22semidirect
48. C61×#552C22semidirect
53. C61×#548C22semidirect
61. C61×#533C22semidirect
69. C61×#529C22semidirect
75. C4×#41×C61C22semidirect
77. C2×C4×Q8×C61C22semidirect
80. C61×#501C22semidirect
81. C61×#501C22semidirect
82. C61×#499C22semidirect
84. C61×#497C22semidirect
86. C61×#491C22semidirect
87. C61×#491C22semidirect
89. C61×#489C22semidirect
91. C61×#488C22semidirect
92. C61×#485C22semidirect
93. C61×#485C22semidirect
94. C61×#485C22semidirect
95. C61×#485C22semidirect
96. C61×#484C22semidirect
101. C61×#482C22semidirect
104. C61×#479C22semidirect
105. C61×#479C22semidirect
106. C61×#479C22semidirect
107. C61×#479C22semidirect
111. C61×#478C22semidirect
112. C61×#477C22semidirect
114. C61×#475C22semidirect
115. C61×#475C22semidirect
116. C61×#470C22semidirect
119. C61×#468C22semidirect
122. C61×#467C22semidirect
123. C61×#467C22semidirect
131. C61×#464C22semidirect
136. C61×#462C22semidirect
137. C61×#462C22semidirect
138. C61×#462C22semidirect
143. C61×#452C22semidirect
146. C61×#451C22semidirect
152. C61×#446C22semidirect
153. C61×#446C22semidirect
157. C61×#441C22semidirect
158. C61×#441C22semidirect
159. C61×#441C22semidirect
160. C61×#441C22semidirect
161. C61×#441C22semidirect
162. C61×#441C22semidirect
163. C61×#441C22semidirect
175. C61×#440C22semidirect
176. C61×#440C22semidirect
177. C61×#440C22semidirect
178. C4×Q16×C61C22semidirect
179. C4×Q16×C61C22semidirect
184. C61×#435C22semidirect
185. C61×#435C22semidirect
189. C61×#432C22semidirect
190. C61×#432C22semidirect
191. C61×#428C22semidirect
192. C61×#427C22semidirect
194. C61×#419C22semidirect
197. C61×#416C22semidirect
200. C4×M16×C61C22semidirect
202. C2×#97×C61C22semidirect
559. SD16×C61#41semidirect
791. #61455C61direct (N × H)
838. #3482C2×C61semidirect
839. #3475C2×C61semidirect
840. #3402C2×C61semidirect
841. #3388C2×C61semidirect
842. #3377C2×C61semidirect
843. #3376C2×C61semidirect
844. #3348C2×C61semidirect
845. #3343C2×C61semidirect
846. #3336C2×C61semidirect
847. #3321C2×C61semidirect
848. #3315C2×C61semidirect
849. #3312C2×C61semidirect
850. #3306C2×C61semidirect
851. #3300C2×C61semidirect
852. #3296C2×C61semidirect
853. #3282C2×C61semidirect
854. #3269C2×C61semidirect
855. #3266C2×C61semidirect
856. #3183C2×C61semidirect
857. #3181C2×C61semidirect
858. #3181C2×C61semidirect
859. #3117C2×C61semidirect
860. #3116C2×C61semidirect
861. #3114C2×C61semidirect
862. #3113C2×C61semidirect
863. #3111C2×C61semidirect
864. #3111C2×C61semidirect
865. #2970C2×C61semidirect
866. C4×#137C2×C61semidirect
867. #2943C2×C61semidirect
868. C2×#440C2×C61semidirect
881. #557C22×C61semidirect
884. #556C22×C61semidirect
894. #552C22×C61semidirect
899. #548C22×C61semidirect
907. #533C22×C61semidirect
915. #529C22×C61semidirect
921. C4×#41C22×C61semidirect
923. C2×C4×Q8C22×C61semidirect
926. #501C22×C61semidirect
927. #501C22×C61semidirect
928. #499C22×C61semidirect
930. #497C22×C61semidirect
932. #491C22×C61semidirect
933. #491C22×C61semidirect
935. #489C22×C61semidirect
937. #488C22×C61semidirect
938. #485C22×C61semidirect
939. #485C22×C61semidirect
940. #485C22×C61semidirect
941. #485C22×C61semidirect
942. #484C22×C61semidirect
947. #482C22×C61semidirect
950. #479C22×C61semidirect
951. #479C22×C61semidirect
952. #479C22×C61semidirect
953. #479C22×C61semidirect
957. #478C22×C61semidirect
958. #477C22×C61semidirect
960. #475C22×C61semidirect
961. #475C22×C61semidirect
962. #470C22×C61semidirect
965. #468C22×C61semidirect
968. #467C22×C61semidirect
969. #467C22×C61semidirect
977. #464C22×C61semidirect
982. #462C22×C61semidirect
983. #462C22×C61semidirect
984. #462C22×C61semidirect
989. #452C22×C61semidirect
992. #451C22×C61semidirect
998. #446C22×C61semidirect
999. #446C22×C61semidirect
1003. #441C22×C61semidirect
1004. #441C22×C61semidirect
1005. #441C22×C61semidirect
1006. #441C22×C61semidirect
1007. #441C22×C61semidirect
1008. #441C22×C61semidirect
1009. #441C22×C61semidirect
1021. #440C22×C61semidirect
1022. #440C22×C61semidirect
1023. #440C22×C61semidirect
1024. C4×Q16C22×C61semidirect
1025. C4×Q16C22×C61semidirect
1030. #435C22×C61semidirect
1031. #435C22×C61semidirect
1035. #432C22×C61semidirect
1036. #432C22×C61semidirect
1037. #428C22×C61semidirect
1038. #427C22×C61semidirect
1040. #419C22×C61semidirect
1043. #416C22×C61semidirect
1046. C4×M16C22×C61semidirect
1048. C2×#97C22×C61semidirect
1049. C61#61455direct (N × H)
1406. SD16#41×C61semidirect

Maximal subgroups

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

subgroupindex
C61×#34822
C61×#34752
C61×#34022
C61×#33882
C61×#33772
C61×#33762
C61×#33482
C61×#33432
C61×#33362
C61×#33212
C61×#33152
C61×#33122
C61×#33062
C61×#33002
C61×#32962
C61×#32822
C61×#32692
C61×#32662
C61×#31832
C61×#31812
C61×#31172
C61×#31162
C61×#31142
C61×#31132
C61×#31112
C61×#29702
C4×#137×C612
C61×#29432
C2×C61×#4402
#6145561