Finite Group Databasebeta

← C61×#15315 #29518748

Subgroups — C61×#15315 #29518748

Order 15616.

2922 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#121×C61C211yesmaximal, characteristic, complemented
2C2×C61×#396C211yesmaximal, characteristic, complemented
3C2×C61×#394C211yesmaximal, characteristic, complemented
4C2×C61×#392C211yesmaximal, characteristic, complemented
5C2×C61×#392C211yesmaximal, characteristic, complemented
6C2×C61×#392C211yesmaximal, characteristic, complemented
7C2×C61×#390C211yesmaximal, characteristic, complemented
8C2×C61×#390C211yesmaximal, characteristic, complemented
9C2×C61×#386C211yesmaximal, characteristic, complemented
10C2×C61×#385C211yesmaximal, characteristic, complemented
11C61×#1439C211yesmaximal, characteristic, complemented
12C61×#1439C211yesmaximal, characteristic, complemented
13C61×#1438C211yesmaximal, characteristic, complemented
14C61×#1438C211yesmaximal, characteristic, complemented
15C61×#1436C211yesmaximal, characteristic, complemented
16C23×D4×C61C2211yescharacteristic
17C23×D4×C61C2211yescharacteristic
18C23×D4×C61C2211yescharacteristic
19C23×D4×C61C2211yescharacteristic
20C23×D4×C61C2211yescharacteristic
21C23×D4×C61C2211yescharacteristic
22C24×C4×C61C2211yescharacteristic
23C2×#121×C61—24no—
24C2×#121×C61—24no—
25C2×#121×C61—24no—
26C22×C4⋊C4×C61C2211yescharacteristic
27C22×C4⋊C4×C61C2211yescharacteristic
28C22×C4⋊C4×C61C2211yescharacteristic
29C22×C4⋊C4×C61C2211yescharacteristic
30C22×C22⋊C4×C61C2211yescharacteristic
31C22×C22⋊C4×C61C2211yescharacteristic
32C22×C22⋊C4×C61C2211yescharacteristic
33C22×C22⋊C4×C61C2211yescharacteristic
34C22×C22⋊C4×C61C2211yescharacteristic
35C22×C22⋊C4×C61C2211yescharacteristic
36C22×C22⋊C4×C61C2211yescharacteristic
37C22×C22⋊C4×C61C2211yescharacteristic
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C22⋊C4×C61C2211yescharacteristic
40C22×C22⋊C4×C61C2211yescharacteristic
41C22×C22⋊C4×C61C2211yescharacteristic
42C22×C22⋊C4×C61C2211yescharacteristic
43C22×C22⋊C4×C61C2211yescharacteristic
44C22×C22⋊C4×C61C2211yescharacteristic
45C22×C42×C61C2211yescharacteristic
46C61×#396—24no—
47C61×#394—24no—
48C61×#392—24no—
49C61×#392—24no—
50C61×#392—24no—
51C61×#390—24no—
52C61×#390—24no—
53C61×#386—24no—
54C61×#385—24no—
55C2×#95×C61C2211yescharacteristic
56C2×#95×C61C2211yescharacteristic
57C2×#95×C61C2211yescharacteristic
58C2×#95×C61C2211yescharacteristic
59C2×#95×C61C2211yescharacteristic
60C2×#95×C61C2211yescharacteristic
61C2×#95×C61C2211yescharacteristic
62C2×#95×C61C2211yescharacteristic
63C25×C61C2311yescharacteristic
64C25×C61C2311yescharacteristic
65C25×C61C2311yescharacteristic
66C25×C61C2311yescharacteristic
67C22×D4×C61—22no—
68C22×D4×C61—22no—
69C22×D4×C61—22no—
70C22×D4×C61—22no—
71C22×D4×C61—22no—
72C22×D4×C61—22no—
73C22×D4×C61—22no—
74C22×D4×C61—22no—
75C22×D4×C61—22no—
76C22×D4×C61—22no—
77C22×D4×C61—22no—
78C22×D4×C61—22no—
79C22×D4×C61—22no—
80C22×D4×C61—22no—
81C22×D4×C61—22no—
82C22×D4×C61—22no—
83C22×D4×C61—22no—
84C22×D4×C61—22no—
85C22×D4×C61—22no—
86C22×D4×C61—22no—
87C22×D4×C61—22no—
88C22×D4×C61—22no—
89C22×D4×C61—22no—
90C22×D4×C61—22no—
91C22×D4×C61—22no—
92C22×D4×C61—22no—
93C22×D4×C61—22no—
94C22×D4×C61—41no—
95C22×D4×C61—41no—
96C22×D4×C61—41no—
97C22×D4×C61—41no—
98C22×D4×C61—41no—
99C22×D4×C61—41no—
100C22×D4×C61—41no—
101C22×D4×C61—41no—
102C22×D4×C61—41no—
103C22×D4×C61—41no—
104C22×D4×C61—41no—
105C22×D4×C61—41no—
106C22×D4×C61—41no—
107C22×D4×C61—41no—
108C22×D4×C61D414yescomplemented
109C23×C4×C61—22no—
110C23×C4×C61—22no—
111C23×C4×C61—22no—
112C23×C4×C61—22no—
113C23×C4×C61—22no—
114C23×C4×C61—41no—
115C23×C4×C61—41no—
116C23×C4×C61C2311yescharacteristic
117C23×C4×C61C2311yescharacteristic
118C23×C4×C61C2311yescharacteristic
119C23×C4×C61C2311yescharacteristic
120C23×C4×C61C2311yescharacteristic
121C23×C4×C61C2311yescharacteristic
122C23×C4×C61C2311yescharacteristic
123C23×C4×C61C2311yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C23×C4×C61C2311yescharacteristic
126C23×C4×C61C2311yescharacteristic
127#121×C61—232no—
128C2×C4⋊C4×C61—22no—
129C2×C4⋊C4×C61—22no—
130C2×C4⋊C4×C61—22no—
131C2×C4⋊C4×C61—22no—
132C2×C4⋊C4×C61—22no—
133C2×C4⋊C4×C61—22no—
134C2×C4⋊C4×C61—22no—
135C2×C4⋊C4×C61—22no—
136C2×C4⋊C4×C61—22no—
137C2×C4⋊C4×C61—41no—
138C2×C4⋊C4×C61—41no—
139C2×C4⋊C4×C61D414yescomplemented
140C2×C22⋊C4×C61—22no—
141C2×C22⋊C4×C61—22no—
142C2×C22⋊C4×C61—22no—
143C2×C22⋊C4×C61—22no—
144C2×C22⋊C4×C61—22no—
145C2×C22⋊C4×C61—22no—
146C2×C22⋊C4×C61—22no—
147C2×C22⋊C4×C61—22no—
148C2×C22⋊C4×C61—22no—
149C2×C22⋊C4×C61—22no—
150C2×C22⋊C4×C61—22no—
151C2×C22⋊C4×C61—22no—
152C2×C22⋊C4×C61—22no—
153C2×C22⋊C4×C61—22no—
154C2×C22⋊C4×C61—22no—
155C2×C22⋊C4×C61—22no—
156C2×C22⋊C4×C61—22no—
157C2×C22⋊C4×C61—22no—
158C2×C22⋊C4×C61—22no—
159C2×C22⋊C4×C61—22no—
160C2×C22⋊C4×C61—22no—
161C2×C22⋊C4×C61—22no—
162C2×C22⋊C4×C61—22no—
163C2×C22⋊C4×C61—22no—
164C2×C22⋊C4×C61—22no—
165C2×C22⋊C4×C61—22no—
166C2×C22⋊C4×C61—22no—
167C2×C22⋊C4×C61—22no—
168C2×C22⋊C4×C61—22no—
169C2×C22⋊C4×C61—22no—
170C2×C22⋊C4×C61—22no—
171C2×C22⋊C4×C61—22no—
172C2×C22⋊C4×C61—22no—
173C2×C22⋊C4×C61—41no—
174C2×C22⋊C4×C61—41no—
175C2×C22⋊C4×C61—41no—
176C2×C22⋊C4×C61—41no—
177C2×C22⋊C4×C61—41no—
178C2×C22⋊C4×C61—41no—
179C2×C22⋊C4×C61—41no—
180C2×C22⋊C4×C61—41no—
181C2×C22⋊C4×C61—41no—
182C2×C22⋊C4×C61—41no—
183C2×C22⋊C4×C61D414yescomplemented
184C2×C22⋊C4×C61D414yescomplemented
185C2×C42×C61—22no—
186C2×C42×C61—22no—
187C2×C42×C61—41no—
188#95×C61—22no—
189#95×C61—22no—
190#95×C61—22no—
191#95×C61—22no—
192#95×C61—22no—
193#95×C61—41no—
194#95×C61D414yescomplemented
195#95×C61D414yescomplemented
196C24×C61—21no—
197C24×C61—21no—
198C24×C61—21no—
199C24×C61—21no—
200C24×C61—21no—
201C24×C61—21no—
202C24×C61—21no—
203C24×C61—21no—
204C24×C61—21no—
205C24×C61—21no—
206C24×C61—21no—
207C24×C61—21no—
208C24×C61—21no—
209C24×C61—21no—
210C24×C61—21no—
211C24×C61—21no—
212C24×C61—21no—
213C24×C61—21no—
214C24×C61—21no—
215C24×C61—21no—
216C24×C61—21no—
217C24×C61—21no—
218C24×C61—21no—
219C24×C61—21no—
220C24×C61—21no—
221C24×C61—21no—
222C24×C61—21no—
223C24×C61—21no—
224C24×C61—21no—
225C24×C61—21no—
226C24×C61—21no—
227C24×C61—21no—
228C24×C61—21no—
229C24×C61—21no—
230C24×C61—21no—
231C24×C61—21no—
232C24×C61—21no—
233C24×C61—21no—
234C24×C61—21no—
235C24×C61—21no—
236C24×C61—21no—
237C24×C61—21no—
238C24×C61—21no—
239C24×C61—21no—
240C24×C61—21no—
241C24×C61—21no—
242C24×C61—21no—
243C24×C61—21no—
244C24×C61—21no—
245C24×C61—21no—
246C24×C61—21no—
247C24×C61—21no—
248C24×C61—21no—
249C24×C61—21no—
250C24×C61C2×D412yes—
251C24×C61C2×D412yes—
252C24×C61C2×D412yes—
253C24×C61C2×D412yes—
254C24×C61#4112yes—
255C24×C61#4112yes—
256C24×C61C2411yescharacteristic
257C2×D4×C61—28no—
258C2×D4×C61—28no—
259C2×D4×C61—28no—
260C2×D4×C61—28no—
261C2×D4×C61—28no—
262C2×D4×C61—28no—
263C2×D4×C61—44no—
264C2×D4×C61—44no—
265C2×D4×C61—44no—
266C2×D4×C61—44no—
267C2×D4×C61—44no—
268C2×D4×C61—44no—
269C2×D4×C61—44no—
270C2×D4×C61—44no—
271C2×D4×C61—44no—
272C2×D4×C61—44no—
273C2×D4×C61—44no—
274C2×D4×C61—44no—
275C2×D4×C61—44no—
276C2×D4×C61—44no—
277C2×D4×C61—44no—
278C2×D4×C61—44no—
279C2×D4×C61—44no—
280C2×D4×C61—44no—
281C2×D4×C61—44no—
282C2×D4×C61—44no—
283C2×D4×C61—44no—
284C2×D4×C61—44no—
285C2×D4×C61—44no—
286C2×D4×C61—44no—
287C2×D4×C61—44no—
288C2×D4×C61—44no—
289C2×D4×C61—44no—
290C2×D4×C61—44no—
291C2×D4×C61—44no—
292C2×D4×C61—44no—
293C2×D4×C61—44no—
294C2×D4×C61—44no—
295C2×D4×C61—44no—
296C2×D4×C61—44no—
297C2×D4×C61—44no—
298C2×D4×C61—44no—
299C22×C4×C61—21no—
300C22×C4×C61—21no—
301C22×C4×C61—21no—
302C22×C4×C61—21no—
303C22×C4×C61—21no—
304C22×C4×C61—21no—
305C22×C4×C61—21no—
306C22×C4×C61—21no—
307C22×C4×C61—21no—
308C22×C4×C61—21no—
309C22×C4×C61—21no—
310C22×C4×C61—21no—
311C22×C4×C61—28no—
312C22×C4×C61—21no—
313C22×C4×C61—21no—
314C22×C4×C61—21no—
315C22×C4×C61—21no—
316C22×C4×C61—21no—
317C22×C4×C61—21no—
318C22×C4×C61—21no—
319C22×C4×C61—21no—
320C22×C4×C61—21no—
321C22×C4×C61—21no—
322C22×C4×C61—21no—
323C22×C4×C61—21no—
324C22×C4×C61—21no—
325C22×C4×C61—21no—
326C22×C4×C61—21no—
327C22×C4×C61—21no—
328C22×C4×C61—21no—
329C22×C4×C61—21no—
330C22×C4×C61—21no—
331C22×C4×C61—21no—
332C22×C4×C61—21no—
333C22×C4×C61—21no—
334C22×C4×C61—21no—
335C22×C4×C61—21no—
336C22×C4×C61—21no—
337C22×C4×C61—21no—
338C22×C4×C61—21no—
339C22×C4×C61—21no—
340C22×C4×C61—21no—
341C22×C4×C61—21no—
342C22×C4×C61—21no—
343C22×C4×C61—21no—
344C22×C4×C61—21no—
345C22×C4×C61—21no—
346C22×C4×C61—21no—
347C22×C4×C61—21no—
348C22×C4×C61—21no—
349C22×C4×C61—21no—
350C22×C4×C61—21no—
351C22×C4×C61—21no—
352C22×C4×C61—21no—
353C22×C4×C61—21no—
354C22×C4×C61—21no—
355C22×C4×C61—21no—
356C22×C4×C61—21no—
357C22×C4×C61—21no—
358C22×C4×C61—21no—
359C22×C4×C61—21no—
360C22×C4×C61—21no—
361C22×C4×C61—21no—
362C22×C4×C61—44no—
363C22×C4×C61—44no—
364C22×C4×C61—44no—
365C22×C4×C61—44no—
366C22×C4×C61—44no—
367C22×C4×C61—44no—
368C22×C4×C61C2×D412yes—
369C22×C4×C61C2×D412yes—
370C22×C4×C61C2×D412yes—
371C22×C4×C61C2×D412yes—
372C22×C4×C61C2×D412yes—
373C22×C4×C61C2×D412yes—
374C22×C4×C61C2×D412yes—
375C22×C4×C61C2×D412yes—
376C22×C4×C61C2×D412yes—
377C22×C4×C61C2×D412yes—
378C22×C4×C61C2×D412yes—
379C22×C4×C61C2×D412yes—
380C22×C4×C61C2×D412yes—
381C22×C4×C61C2×D412yes—
382C22×C4×C61#4112yes—
383C4⋊C4×C61—28no—
384C4⋊C4×C61—44no—
385C4⋊C4×C61—44no—
386C4⋊C4×C61—44no—
387C22⋊C4×C61—28no—
388C22⋊C4×C61—28no—
389C22⋊C4×C61—28no—
390C22⋊C4×C61—44no—
391C22⋊C4×C61—44no—
392C22⋊C4×C61—44no—
393C22⋊C4×C61—44no—
394C22⋊C4×C61—44no—
395C22⋊C4×C61—44no—
396C22⋊C4×C61—44no—
397C22⋊C4×C61—44no—
398C22⋊C4×C61—44no—
399C22⋊C4×C61—44no—
400C22⋊C4×C61—44no—
401C22⋊C4×C61—44no—
402C42×C61—44no—
403C23×C61—22no—
404C23×C61—22no—
405C23×C61—22no—
406C23×C61—22no—
407C23×C61—22no—
408C23×C61—22no—
409C23×C61—22no—
410C23×C61—22no—
411C23×C61—22no—
412C23×C61—22no—
413C23×C61—22no—
414C23×C61—22no—
415C23×C61—22no—
416C23×C61—22no—
417C23×C61—22no—
418C23×C61—22no—
419C23×C61—22no—
420C23×C61—22no—
421C23×C61—22no—
422C23×C61—22no—
423C23×C61—22no—
424C23×C61—22no—
425C23×C61—22no—
426C23×C61—22no—
427C23×C61—22no—
428C23×C61—22no—
429C23×C61—22no—
430C23×C61—22no—
431C23×C61—22no—
432C23×C61—22no—
433C23×C61—22no—
434C23×C61—22no—
435C23×C61—22no—
436C23×C61—22no—
437C23×C61—22no—
438C23×C61—22no—
439C23×C61—22no—
440C23×C61—22no—
441C23×C61—22no—
442C23×C61—41no—
443C23×C61—41no—
444C23×C61—41no—
445C23×C61—41no—
446C23×C61—41no—
447C23×C61—41no—
448C23×C61—41no—
449C23×C61—41no—
450C23×C61—41no—
451C23×C61—41no—
452C23×C61—41no—
453C23×C61—41no—
454C23×C61—41no—
455C23×C61—41no—
456C23×C61—41no—
457C23×C61—41no—
458C23×C61—41no—
459C23×C61—41no—
460C23×C61—41no—
461C23×C61—41no—
462C23×C61—41no—
463C23×C61—41no—
464C23×C61—41no—
465C23×C61—41no—
466C23×C61—41no—
467C23×C61—41no—
468C23×C61—41no—
469C23×C61—41no—
470C23×C61—41no—
471C23×C61—41no—
472C23×C61—41no—
473C23×C61—41no—
474C23×C61—41no—
475C23×C61—41no—
476C23×C61—41no—
477C23×C61—41no—
478C23×C61—41no—
479C23×C61—41no—
480C23×C61—41no—
481C23×C61—41no—
482C23×C61—41no—
483C23×C61—41no—
484C23×C61—41no—
485C23×C61—41no—
486C23×C61—41no—
487C23×C61—41no—
488C23×C61—41no—
489C23×C61—41no—
490C23×C61—41no—
491C23×C61—41no—
492C23×C61—41no—
493C23×C61—41no—
494C23×C61—41no—
495C23×C61—41no—
496C23×C61—41no—
497C23×C61—41no—
498C23×C61—41no—
499C23×C61—41no—
500C23×C61—41no—
501C23×C61—41no—
502C23×C61—41no—
503C23×C61—41no—
504C23×C61—41no—
505C23×C61—41no—
506C23×C61—41no—
507C23×C61—41no—
508C23×C61—41no—
509C23×C61—41no—
510C23×C61—41no—
511C23×C61—41no—
512C23×C61—41no—
513C23×C61—41no—
514C23×C61—41no—
515C23×C61—41no—
516C23×C61—41no—
517C23×C61—41no—
518C23×C61—41no—
519C23×C61—41no—
520C23×C61—41no—
521C23×C61—41no—
522C23×C61—41no—
523C23×C61—41no—
524C23×C61—41no—
525C23×C61—41no—
526C23×C61—41no—
527C23×C61—41no—
528C23×C61—41no—
529C23×C61—41no—
530C23×C61—41no—
531C23×C61—41no—
532C23×C61—41no—
533C23×C61—41no—
534C23×C61—41no—
535C23×C61—41no—
536C23×C61—41no—
537C23×C61—41no—
538C23×C61—41no—
539C23×C61—41no—
540C23×C61—41no—
541C23×C61—41no—
542C23×C61#12114yes—
543C23×C61C22×D411yescharacteristic
544C23×C61C22×D411yescharacteristic
545C23×C61C22×D411yescharacteristic
546C23×C61C22×D411yescharacteristic
547C23×C61C22×D411yescharacteristic
548C23×C61C22×D411yescharacteristic
549C23×C61C2×#4111yescharacteristic
550C23×C61C2×#4111yescharacteristic
551C23×C61C2×#4111yescharacteristic
552C23×C61H(5,𝔽2)11yescharacteristic
553C23×C61H(5,𝔽2)11yescharacteristic
554C23×C61H(5,𝔽2)11yescharacteristic
555C23×C61H(5,𝔽2)11yescharacteristic
556C23×C61H(5,𝔽2)11yescharacteristic
557C23×C612−1+411yescharacteristic
558D4×C61—416no—
559D4×C61—416no—
560D4×C61—416no—
561D4×C61—416no—
562D4×C61—416no—
563D4×C61—416no—
564C2×C4×C61—22no—
565C2×C4×C61—22no—
566C2×C4×C61—22no—
567C2×C4×C61—22no—
568C2×C4×C61—22no—
569C2×C4×C61—22no—
570C2×C4×C61—22no—
571C2×C4×C61—22no—
572C2×C4×C61—22no—
573C2×C4×C61—22no—
574C2×C4×C61—22no—
575C2×C4×C61—22no—
576C2×C4×C61—22no—
577C2×C4×C61—22no—
578C2×C4×C61—22no—
579C2×C4×C61—22no—
580C2×C4×C61—22no—
581C2×C4×C61—22no—
582C2×C4×C61—22no—
583C2×C4×C61—22no—
584C2×C4×C61—22no—
585C2×C4×C61—22no—
586C2×C4×C61—22no—
587C2×C4×C61—22no—
588C2×C4×C61—22no—
589C2×C4×C61—22no—
590C2×C4×C61—22no—
591C2×C4×C61—22no—
592C2×C4×C61—22no—
593C2×C4×C61—22no—
594C2×C4×C61—22no—
595C2×C4×C61—22no—
596C2×C4×C61—22no—
597C2×C4×C61—22no—
598C2×C4×C61—22no—
599C2×C4×C61—22no—
600C2×C4×C61—416no—
601C2×C4×C61—41no—
602C2×C4×C61—41no—
603C2×C4×C61—41no—
604C2×C4×C61—41no—
605C2×C4×C61—41no—
606C2×C4×C61—41no—
607C2×C4×C61—41no—
608C2×C4×C61—41no—
609C2×C4×C61—41no—
610C2×C4×C61—41no—
611C2×C4×C61—41no—
612C2×C4×C61—41no—
613C2×C4×C61—41no—
614C2×C4×C61—41no—
615C2×C4×C61—41no—
616C2×C4×C61—41no—
617C2×C4×C61—41no—
618C2×C4×C61—41no—
619C2×C4×C61—41no—
620C2×C4×C61—41no—
621C2×C4×C61—41no—
622C2×C4×C61—41no—
623C2×C4×C61—41no—
624C2×C4×C61—41no—
625C2×C4×C61—41no—
626C2×C4×C61—41no—
627C2×C4×C61—41no—
628C2×C4×C61—41no—
629C2×C4×C61—41no—
630C2×C4×C61—41no—
631C2×C4×C61—41no—
632C2×C4×C61—41no—
633C2×C4×C61—41no—
634C2×C4×C61—41no—
635C2×C4×C61—41no—
636C2×C4×C61—41no—
637C2×C4×C61—41no—
638C2×C4×C61—41no—
639C2×C4×C61#12014yes—
640C2×C4×C61#12114yescomplemented
641C2×C4×C61#12714yes—
642#15315C6111yesmaximal, characteristic, direct product factor, Sylow
643C22×C61—24no—
644C22×C61—24no—
645C22×C61—24no—
646C22×C61—42no—
647C22×C61—42no—
648C22×C61—42no—
649C22×C61—42no—
650C22×C61—42no—
651C22×C61—42no—
652C22×C61—42no—
653C22×C61—42no—
654C22×C61—42no—
655C22×C61—42no—
656C22×C61—42no—
657C22×C61—42no—
658C22×C61—42no—
659C22×C61—42no—
660C22×C61—42no—
661C22×C61—42no—
662C22×C61—42no—
663C22×C61—42no—
664C22×C61—42no—
665C22×C61—42no—
666C22×C61—42no—
667C22×C61—42no—
668C22×C61—42no—
669C22×C61—42no—
670C22×C61—42no—
671C22×C61—42no—
672C22×C61—42no—
673C22×C61—42no—
674C22×C61—42no—
675C22×C61—42no—
676C22×C61—42no—
677C22×C61—42no—
678C22×C61—42no—
679C22×C61—81no—
680C22×C61—81no—
681C22×C61—81no—
682C22×C61—81no—
683C22×C61—81no—
684C22×C61—81no—
685C22×C61—81no—
686C22×C61—81no—
687C22×C61—81no—
688C22×C61—81no—
689C22×C61—81no—
690C22×C61—81no—
691C22×C61—81no—
692C22×C61—81no—
693C22×C61—81no—
694C22×C61—81no—
695C22×C61—81no—
696C22×C61—81no—
697C22×C61—81no—
698C22×C61—81no—
699C22×C61—81no—
700C22×C61—81no—
701C22×C61—81no—
702C22×C61—81no—
703C22×C61C2×#12011yescharacteristic
704C22×C61C2×#12111yescharacteristic
705C22×C61C2×#12111yescharacteristic
706C22×C61#52511yescharacteristic
707C22×C61#52511yescharacteristic
708C22×C61C2×#12711yescharacteristic
709C22×C61#53411yescharacteristic
710C22×C61#53511yescharacteristic
711C22×C61#53511yescharacteristic
712C22×C61#53711yescharacteristic
713C22×C61#53711yescharacteristic
714C22×C61#53711yescharacteristic
715C22×C61#53811yescharacteristic
716C22×C61#53811yescharacteristic
717C22×C61#53811yescharacteristic
718C22×C61D4211yescharacteristic
719C22×C61D4211yescharacteristic
720C22×C61D4211yescharacteristic
721C22×C61D4211yescharacteristic
722C22×C61D4211yescharacteristic
723C22×C61D4211yescharacteristic
724C22×C61D4211yescharacteristic
725C22×C61#54611yescharacteristic
726C22×C61#54611yescharacteristic
727C22×C61#54611yescharacteristic
728C22×C61#54611yescharacteristic
729C22×C61#54611yescharacteristic
730C22×C61#54711yescharacteristic
731C22×C61#54811yescharacteristic
732C22×C61#54811yescharacteristic
733C22×C61#55011yescharacteristic
734C22×C61#55011yescharacteristic
735C22×C61#55311yescharacteristic
736C22×C61#56011yescharacteristic
737C22×C61#56211yescharacteristic
738C4×C61—24no—
739C4×C61—24no—
740C4×C61—24no—
741C4×C61—42no—
742C4×C61—42no—
743C4×C61—42no—
744C4×C61—42no—
745C4×C61—42no—
746C4×C61—42no—
747C4×C61—81no—
748C4×C61—81no—
749C22×#121C2×C6111yescharacteristic, complemented
750C2×#396C2×C6111yescharacteristic, complemented
751C2×#394C2×C6111yescharacteristic, complemented
752C2×#392C2×C6111yescharacteristic, complemented
753C2×#392C2×C6111yescharacteristic, complemented
754C2×#392C2×C6111yescharacteristic, complemented
755C2×#390C2×C6111yescharacteristic, complemented
756C2×#390C2×C6111yescharacteristic, complemented
757C2×#386C2×C6111yescharacteristic, complemented
758C2×#385C2×C6111yescharacteristic, complemented
759#1439C2×C6111yescharacteristic, complemented
760#1439C2×C6111yescharacteristic, complemented
761#1438C2×C6111yescharacteristic, complemented
762#1438C2×C6111yescharacteristic, complemented
763#1436C2×C6111yescharacteristic, complemented
764C2×C61—44no—
765C2×C61—82no—
766C2×C61—82no—
767C2×C61—82no—
768C2×C61#240711yescharacteristic
769C2×C61#241011yescharacteristic
770C2×C61#241611yescharacteristic
771C2×C61#242411yescharacteristic
772C2×C61#242411yescharacteristic
773C2×C61#243311yescharacteristic
774C2×C61#245611yescharacteristic
775C2×C61#254011yescharacteristic
776C2×C61#254111yescharacteristic
777C2×C61#267511yescharacteristic
778C2×C61#267611yescharacteristic
779C2×C61#267611yescharacteristic
780C2×C61#267811yescharacteristic
781C2×C61#268211yescharacteristic
782C2×C61#271411yescharacteristic
783C23×D4C22×C6111yescharacteristic
784C23×D4C22×C6111yescharacteristic
785C23×D4C22×C6111yescharacteristic
786C23×D4C22×C6111yescharacteristic
787C23×D4C22×C6111yescharacteristic
788C23×D4C22×C6111yescharacteristic
789C24×C4C22×C6111yescharacteristic
790C2×#121—24no—
791C2×#121—24no—
792C2×#121—24no—
793C22×C4⋊C4C22×C6111yescharacteristic
794C22×C4⋊C4C22×C6111yescharacteristic
795C22×C4⋊C4C22×C6111yescharacteristic
796C22×C4⋊C4C22×C6111yescharacteristic
797C22×C22⋊C4C22×C6111yescharacteristic
798C22×C22⋊C4C22×C6111yescharacteristic
799C22×C22⋊C4C22×C6111yescharacteristic
800C22×C22⋊C4C22×C6111yescharacteristic
801C22×C22⋊C4C22×C6111yescharacteristic
802C22×C22⋊C4C22×C6111yescharacteristic
803C22×C22⋊C4C22×C6111yescharacteristic
804C22×C22⋊C4C22×C6111yescharacteristic
805C22×C22⋊C4C22×C6111yescharacteristic
806C22×C22⋊C4C22×C6111yescharacteristic
807C22×C22⋊C4C22×C6111yescharacteristic
808C22×C22⋊C4C22×C6111yescharacteristic
809C22×C22⋊C4C22×C6111yescharacteristic
810C22×C22⋊C4C22×C6111yescharacteristic
811C22×C22⋊C4C22×C6111yescharacteristic
812C22×C42C22×C6111yescharacteristic
813#396—24no—
814#394—24no—
815#392—24no—
816#392—24no—
817#392—24no—
818#390—24no—
819#390—24no—
820#386—24no—
821#385—24no—
822C2×#95C22×C6111yescharacteristic
823C2×#95C22×C6111yescharacteristic
824C2×#95C22×C6111yescharacteristic
825C2×#95C22×C6111yescharacteristic
826C2×#95C22×C6111yescharacteristic
827C2×#95C22×C6111yescharacteristic
828C2×#95C22×C6111yescharacteristic
829C2×#95C22×C6111yescharacteristic
830C61#1531511yescharacteristic, direct product factor, Sylow
831C25C23×C6111yescharacteristic
832C25C23×C6111yescharacteristic
833C25C23×C6111yescharacteristic
834C25C23×C6111yescharacteristic
835C22×D4—22no—
836C22×D4—22no—
837C22×D4—22no—
838C22×D4—22no—
839C22×D4—22no—
840C22×D4—22no—
841C22×D4—22no—
842C22×D4—22no—
843C22×D4—22no—
844C22×D4—22no—
845C22×D4—22no—
846C22×D4—22no—
847C22×D4—22no—
848C22×D4—22no—
849C22×D4—22no—
850C22×D4—22no—
851C22×D4—22no—
852C22×D4—22no—
853C22×D4—22no—
854C22×D4—22no—
855C22×D4—22no—
856C22×D4—22no—
857C22×D4—22no—
858C22×D4—22no—
859C22×D4—22no—
860C22×D4—22no—
861C22×D4—22no—
862C22×D4—41no—
863C22×D4—41no—
864C22×D4—41no—
865C22×D4—41no—
866C22×D4—41no—
867C22×D4—41no—
868C22×D4—41no—
869C22×D4—41no—
870C22×D4—41no—
871C22×D4—41no—
872C22×D4—41no—
873C22×D4—41no—
874C22×D4—41no—
875C22×D4—41no—
876C22×D4D4×C6114yescomplemented
877C23×C4—22no—
878C23×C4—22no—
879C23×C4—22no—
880C23×C4—22no—
881C23×C4—22no—
882C23×C4—41no—
883C23×C4—41no—
884C23×C4C23×C6111yescharacteristic
885C23×C4C23×C6111yescharacteristic
886C23×C4C23×C6111yescharacteristic
887C23×C4C23×C6111yescharacteristic
888C23×C4C23×C6111yescharacteristic
889C23×C4C23×C6111yescharacteristic
890C23×C4C23×C6111yescharacteristic
891C23×C4C23×C6111yescharacteristic
892C23×C4C23×C6111yescharacteristic
893C23×C4C23×C6111yescharacteristic
894C23×C4C23×C6111yescharacteristic
895#121—232no—
896C2×C4⋊C4—22no—
897C2×C4⋊C4—22no—
898C2×C4⋊C4—22no—
899C2×C4⋊C4—22no—
900C2×C4⋊C4—22no—
901C2×C4⋊C4—22no—
902C2×C4⋊C4—22no—
903C2×C4⋊C4—22no—
904C2×C4⋊C4—22no—
905C2×C4⋊C4—41no—
906C2×C4⋊C4—41no—
907C2×C4⋊C4D4×C6114yescomplemented
908C2×C22⋊C4—22no—
909C2×C22⋊C4—22no—
910C2×C22⋊C4—22no—
911C2×C22⋊C4—22no—
912C2×C22⋊C4—22no—
913C2×C22⋊C4—22no—
914C2×C22⋊C4—22no—
915C2×C22⋊C4—22no—
916C2×C22⋊C4—22no—
917C2×C22⋊C4—22no—
918C2×C22⋊C4—22no—
919C2×C22⋊C4—22no—
920C2×C22⋊C4—22no—
921C2×C22⋊C4—22no—
922C2×C22⋊C4—22no—
923C2×C22⋊C4—22no—
924C2×C22⋊C4—22no—
925C2×C22⋊C4—22no—
926C2×C22⋊C4—22no—
927C2×C22⋊C4—22no—
928C2×C22⋊C4—22no—
929C2×C22⋊C4—22no—
930C2×C22⋊C4—22no—
931C2×C22⋊C4—22no—
932C2×C22⋊C4—22no—
933C2×C22⋊C4—22no—
934C2×C22⋊C4—22no—
935C2×C22⋊C4—22no—
936C2×C22⋊C4—22no—
937C2×C22⋊C4—22no—
938C2×C22⋊C4—22no—
939C2×C22⋊C4—22no—
940C2×C22⋊C4—22no—
941C2×C22⋊C4—41no—
942C2×C22⋊C4—41no—
943C2×C22⋊C4—41no—
944C2×C22⋊C4—41no—
945C2×C22⋊C4—41no—
946C2×C22⋊C4—41no—
947C2×C22⋊C4—41no—
948C2×C22⋊C4—41no—
949C2×C22⋊C4—41no—
950C2×C22⋊C4—41no—
951C2×C22⋊C4D4×C6114yescomplemented
952C2×C22⋊C4D4×C6114yescomplemented
953C2×C42—22no—
954C2×C42—22no—
955C2×C42—41no—
956#95—22no—
957#95—22no—
958#95—22no—
959#95—22no—
960#95—22no—
961#95—41no—
962#95D4×C6114yescomplemented
963#95D4×C6114yescomplemented
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24C2×D4×C6112yes—
1019C24C2×D4×C6112yes—
1020C24C2×D4×C6112yes—
1021C24C2×D4×C6112yes—
1022C24#41×C6112yes—
1023C24#41×C6112yes—
1024C24C24×C6111yescharacteristic
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—28no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4C2×D4×C6112yes—
1137C22×C4C2×D4×C6112yes—
1138C22×C4C2×D4×C6112yes—
1139C22×C4C2×D4×C6112yes—
1140C22×C4C2×D4×C6112yes—
1141C22×C4C2×D4×C6112yes—
1142C22×C4C2×D4×C6112yes—
1143C22×C4C2×D4×C6112yes—
1144C22×C4C2×D4×C6112yes—
1145C22×C4C2×D4×C6112yes—
1146C22×C4C2×D4×C6112yes—
1147C22×C4C2×D4×C6112yes—
1148C22×C4C2×D4×C6112yes—
1149C22×C4C2×D4×C6112yes—
1150C22×C4#41×C6112yes—
1151C4⋊C4—28no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C42—44no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23#121×C6114yes—
1311C23C22×D4×C6111yescharacteristic
1312C23C22×D4×C6111yescharacteristic
1313C23C22×D4×C6111yescharacteristic
1314C23C22×D4×C6111yescharacteristic
1315C23C22×D4×C6111yescharacteristic
1316C23C22×D4×C6111yescharacteristic
1317C23C2×#41×C6111yescharacteristic
1318C23C2×#41×C6111yescharacteristic
1319C23C2×#41×C6111yescharacteristic
1320C23H(5,𝔽2)×C6111yescharacteristic
1321C23H(5,𝔽2)×C6111yescharacteristic
1322C23H(5,𝔽2)×C6111yescharacteristic
1323C23H(5,𝔽2)×C6111yescharacteristic
1324C23H(5,𝔽2)×C6111yescharacteristic
1325C232−1+4×C6111yescharacteristic
1326D4—416no—
1327D4—416no—
1328D4—416no—
1329D4—416no—
1330D4—416no—
1331D4—416no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—416no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4#120×C6114yes—
1408C2×C4#121×C6114yescomplemented
1409C2×C4#127×C6114yes—
1410C22—24no—
1411C22—24no—
1412C22—24no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22C2×#120×C6111yescharacteristic
1471C22C2×#121×C6111yescharacteristic
1472C22C2×#121×C6111yescharacteristic
1473C22C61×#52511yescharacteristic
1474C22C61×#52511yescharacteristic
1475C22C2×#127×C6111yescharacteristic
1476C22C61×#53411yescharacteristic
1477C22C61×#53511yescharacteristic
1478C22C61×#53511yescharacteristic
1479C22C61×#53711yescharacteristic
1480C22C61×#53711yescharacteristic
1481C22C61×#53711yescharacteristic
1482C22C61×#53811yescharacteristic
1483C22C61×#53811yescharacteristic
1484C22C61×#53811yescharacteristic
1485C22D42×C6111yescharacteristic
1486C22D42×C6111yescharacteristic
1487C22D42×C6111yescharacteristic
1488C22D42×C6111yescharacteristic
1489C22D42×C6111yescharacteristic
1490C22D42×C6111yescharacteristic
1491C22D42×C6111yescharacteristic
1492C22C61×#54611yescharacteristic
1493C22C61×#54611yescharacteristic
1494C22C61×#54611yescharacteristic
1495C22C61×#54611yescharacteristic
1496C22C61×#54611yescharacteristic
1497C22C61×#54711yescharacteristic
1498C22C61×#54811yescharacteristic
1499C22C61×#54811yescharacteristic
1500C22C61×#55011yescharacteristic
1501C22C61×#55011yescharacteristic
1502C22C61×#55311yescharacteristic
1503C22C61×#56011yescharacteristic
1504C22C61×#56211yescharacteristic
1505C4—24no—
1506C4—24no—
1507C4—24no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—42no—
1514C4—81no—
1515C4—81no—
1516C2—44no—
1517C2—82no—
1518C2—82no—
1519C2—82no—
1520C2C61×#240711yescharacteristic
1521C2C61×#241011yescharacteristic
1522C2C61×#241611yescharacteristic
1523C2C61×#242411yescharacteristic
1524C2C61×#242411yescharacteristic
1525C2C61×#243311yescharacteristic
1526C2C61×#245611yescharacteristic
1527C2C61×#254011yescharacteristic
1528C2C61×#254111yescharacteristic
1529C2C61×#267511yescharacteristic
1530C2C61×#267611yescharacteristic
1531C2C61×#267611yescharacteristic
1532C2C61×#267811yescharacteristic
1533C2C61×#268211yescharacteristic
1534C2C61×#271411yescharacteristic
subgroupG/H
center, socleC24×C61C24
commutator, Frattini, cosocleC24C24×C61
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×#121×C61C2semidirect
2. C2×C61×#396C2semidirect
3. C2×C61×#394C2semidirect
4. C2×C61×#392C2semidirect
5. C2×C61×#392C2semidirect
6. C2×C61×#392C2semidirect
7. C2×C61×#390C2semidirect
8. C2×C61×#390C2semidirect
9. C2×C61×#386C2semidirect
10. C2×C61×#385C2semidirect
11. C61×#1439C2semidirect
12. C61×#1439C2semidirect
13. C61×#1438C2semidirect
14. C61×#1438C2semidirect
15. C61×#1436C2semidirect
108. C22×D4×C61D4semidirect
139. C2×C4⋊C4×C61D4semidirect
183. C2×C22⋊C4×C61D4semidirect
184. C2×C22⋊C4×C61D4semidirect
194. #95×C61D4semidirect
195. #95×C61D4semidirect
640. C2×C4×C61#121semidirect
642. #15315C61direct (N × H)
749. C22×#121C2×C61semidirect
750. C2×#396C2×C61semidirect
751. C2×#394C2×C61semidirect
752. C2×#392C2×C61semidirect
753. C2×#392C2×C61semidirect
754. C2×#392C2×C61semidirect
755. C2×#390C2×C61semidirect
756. C2×#390C2×C61semidirect
757. C2×#386C2×C61semidirect
758. C2×#385C2×C61semidirect
759. #1439C2×C61semidirect
760. #1439C2×C61semidirect
761. #1438C2×C61semidirect
762. #1438C2×C61semidirect
763. #1436C2×C61semidirect
830. C61#15315direct (N × H)
876. C22×D4D4×C61semidirect
907. C2×C4⋊C4D4×C61semidirect
951. C2×C22⋊C4D4×C61semidirect
952. C2×C22⋊C4D4×C61semidirect
962. #95D4×C61semidirect
963. #95D4×C61semidirect
1408. C2×C4#121×C61semidirect

Maximal subgroups

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

subgroupindex
C22×#121×C612
C2×C61×#3962
C2×C61×#3942
C2×C61×#3922
C2×C61×#3902
C2×C61×#3862
C2×C61×#3852
C61×#14392
C61×#14382
C61×#14362
#1531561