Finite Group Databasebeta

← C61×#15273 #29518706

Subgroups — C61×#15273 #29518706

Order 15616.

2946 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#121×C61C211yesmaximal, characteristic, complemented
2C2×C61×#392C211yesmaximal, characteristic, complemented
3C2×C61×#392C211yesmaximal, characteristic, complemented
4C2×C61×#392C211yesmaximal, characteristic, complemented
5C2×C61×#386C211yesmaximal, characteristic, complemented
6C2×C61×#386C211yesmaximal, characteristic, complemented
7C2×C61×#386C211yesmaximal, characteristic, complemented
8C2×C61×#386C211yesmaximal, characteristic, complemented
9C61×#1442C211yesmaximal, characteristic, complemented
10C61×#1440C211yesmaximal, characteristic, complemented
11C61×#1440C211yesmaximal, characteristic, complemented
12C61×#1439C211yesmaximal, characteristic, complemented
13C61×#1438C211yesmaximal, characteristic, complemented
14C61×#1438C211yesmaximal, characteristic, complemented
15C61×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C61C2211yescharacteristic
17C23×D4×C61C2211yescharacteristic
18C23×D4×C61C2211yescharacteristic
19C23×D4×C61C2211yescharacteristic
20C23×D4×C61C2211yescharacteristic
21C23×D4×C61C2211yescharacteristic
22C24×C4×C61C2211yescharacteristic
23C24×C4×C61C2211yescharacteristic
24C2×#121×C61—24no—
25C2×#121×C61—24no—
26C2×#121×C61—24no—
27C22×C4⋊C4×C61C2211yescharacteristic
28C22×C22⋊C4×C61C2211yescharacteristic
29C22×C22⋊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
42C61×#392—24no—
43C61×#392—24no—
44C61×#392—24no—
45C61×#386—24no—
46C61×#386—24no—
47C61×#386—24no—
48C61×#386—24no—
49C2×#95×C61C2211yescharacteristic
50C2×#95×C61C2211yescharacteristic
51C2×#95×C61C2211yescharacteristic
52C2×#95×C61C2211yescharacteristic
53C2×#95×C61C2211yescharacteristic
54C2×#95×C61C2211yescharacteristic
55C2×#95×C61C2211yescharacteristic
56C2×#95×C61C2211yescharacteristic
57C2×#95×C61C2211yescharacteristic
58C2×#95×C61C2211yescharacteristic
59C2×#95×C61C2211yescharacteristic
60C2×#95×C61C2211yescharacteristic
61C25×C61C2311yescharacteristic
62C25×C61C2311yescharacteristic
63C25×C61C2311yescharacteristic
64C25×C61C2311yescharacteristic
65C22×D4×C61—22no—
66C22×D4×C61—22no—
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—41no—
92C22×D4×C61—41no—
93C22×D4×C61—41no—
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×C61D414yescomplemented
106C22×D4×C61D414yescomplemented
107C23×C4×C61—22no—
108C23×C4×C61—22no—
109C23×C4×C61—22no—
110C23×C4×C61—22no—
111C23×C4×C61—22no—
112C23×C4×C61—22no—
113C23×C4×C61—22no—
114C23×C4×C61—22no—
115C23×C4×C61—41no—
116C23×C4×C61—41no—
117C23×C4×C61—41no—
118C23×C4×C61—41no—
119C23×C4×C61—41no—
120C23×C4×C61—41no—
121C23×C4×C61C2311yescharacteristic
122C23×C4×C61C2311yescharacteristic
123C23×C4×C61C2311yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C23×C4×C61C2311yescharacteristic
126C23×C4×C61C2311yescharacteristic
127C23×C4×C61C2311yescharacteristic
128C23×C4×C61C2311yescharacteristic
129C23×C4×C61C2311yescharacteristic
130C23×C4×C61C2311yescharacteristic
131C23×C4×C61C2311yescharacteristic
132#121×C61—232no—
133C2×C4⋊C4×C61—22no—
134C2×C4⋊C4×C61—22no—
135C2×C4⋊C4×C61—22no—
136C2×C22⋊C4×C61—22no—
137C2×C22⋊C4×C61—22no—
138C2×C22⋊C4×C61—22no—
139C2×C22⋊C4×C61—22no—
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—41no—
163C2×C22⋊C4×C61—41no—
164C2×C22⋊C4×C61—41no—
165C2×C22⋊C4×C61—41no—
166C2×C22⋊C4×C61—41no—
167C2×C22⋊C4×C61—41no—
168C2×C22⋊C4×C61—41no—
169C2×C22⋊C4×C61—41no—
170C2×C22⋊C4×C61—41no—
171C2×C22⋊C4×C61—41no—
172C2×C22⋊C4×C61—41no—
173C2×C22⋊C4×C61—41no—
174C2×C22⋊C4×C61—41no—
175C2×C22⋊C4×C61—41no—
176C2×C22⋊C4×C61D414yescomplemented
177C2×C22⋊C4×C61D414yescomplemented
178#95×C61—22no—
179#95×C61—22no—
180#95×C61—22no—
181#95×C61—22no—
182#95×C61—22no—
183#95×C61—22no—
184#95×C61—22no—
185#95×C61—22no—
186#95×C61—22no—
187#95×C61—41no—
188#95×C61—41no—
189#95×C61D414yescomplemented
190C24×C61—21no—
191C24×C61—21no—
192C24×C61—21no—
193C24×C61—21no—
194C24×C61—21no—
195C24×C61—21no—
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×C61C2×D412yes—
243C24×C61C2×D412yes—
244C24×C61C2×D412yes—
245C24×C61C2×D412yes—
246C24×C61C2×D412yes—
247C24×C61C2×D412yes—
248C24×C61#4112yes—
249C24×C61#4112yes—
250C24×C61C2411yescharacteristic
251C2×D4×C61—28no—
252C2×D4×C61—28no—
253C2×D4×C61—28no—
254C2×D4×C61—28no—
255C2×D4×C61—28no—
256C2×D4×C61—28no—
257C2×D4×C61—28no—
258C2×D4×C61—44no—
259C2×D4×C61—44no—
260C2×D4×C61—44no—
261C2×D4×C61—44no—
262C2×D4×C61—44no—
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—
293C22×C4×C61—21no—
294C22×C4×C61—21no—
295C22×C4×C61—21no—
296C22×C4×C61—21no—
297C22×C4×C61—28no—
298C22×C4×C61—21no—
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—21no—
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—44no—
361C22×C4×C61—44no—
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×C61—44no—
369C22×C4×C61—44no—
370C22×C4×C61—44no—
371C22×C4×C61—44no—
372C22×C4×C61—44no—
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—
383C22×C4×C61#4112yes—
384C4⋊C4×C61—28no—
385C22⋊C4×C61—28no—
386C22⋊C4×C61—28no—
387C22⋊C4×C61—44no—
388C22⋊C4×C61—44no—
389C22⋊C4×C61—44no—
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—
399C23×C61—22no—
400C23×C61—22no—
401C23×C61—22no—
402C23×C61—22no—
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—22no—
443C23×C61—22no—
444C23×C61—22no—
445C23×C61—22no—
446C23×C61—22no—
447C23×C61—22no—
448C23×C61—22no—
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#12014yes—
538C23×C61#12114yes—
539C23×C61C22×D411yescharacteristic
540C23×C61C22×D411yescharacteristic
541C23×C61C22×D411yescharacteristic
542C23×C61C22×D411yescharacteristic
543C23×C61C22×D411yescharacteristic
544C23×C61C2×#4111yescharacteristic
545C23×C61C2×#4111yescharacteristic
546C23×C61C2×#4111yescharacteristic
547C23×C61C2×#4111yescharacteristic
548C23×C61H(5,𝔽2)11yescharacteristic
549C23×C61H(5,𝔽2)11yescharacteristic
550C23×C61H(5,𝔽2)11yescharacteristic
551C23×C61H(5,𝔽2)11yescharacteristic
552C23×C61H(5,𝔽2)11yescharacteristic
553C23×C61H(5,𝔽2)11yescharacteristic
554D4×C61—416no—
555D4×C61—416no—
556D4×C61—416no—
557D4×C61—416no—
558D4×C61—416no—
559D4×C61—416no—
560C2×C4×C61—22no—
561C2×C4×C61—22no—
562C2×C4×C61—22no—
563C2×C4×C61—22no—
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—416no—
591C2×C4×C61—416no—
592C2×C4×C61—41no—
593C2×C4×C61—41no—
594C2×C4×C61—41no—
595C2×C4×C61—41no—
596C2×C4×C61—41no—
597C2×C4×C61—41no—
598C2×C4×C61—41no—
599C2×C4×C61—41no—
600C2×C4×C61—41no—
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#12114yes—
639#15273C6111yesmaximal, characteristic, direct product factor, Sylow
640C22×C61—24no—
641C22×C61—24no—
642C22×C61—24no—
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—42no—
680C22×C61—42no—
681C22×C61—42no—
682C22×C61—42no—
683C22×C61—42no—
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×C61C2×#12011yescharacteristic
701C22×C61C2×#12111yescharacteristic
702C22×C61C2×#12111yescharacteristic
703C22×C61#52511yescharacteristic
704C22×C61#52511yescharacteristic
705C22×C61#53211yescharacteristic
706C22×C61#53411yescharacteristic
707C22×C61#53411yescharacteristic
708C22×C61#53411yescharacteristic
709C22×C61#53511yescharacteristic
710C22×C61#53511yescharacteristic
711C22×C61#53811yescharacteristic
712C22×C61#53811yescharacteristic
713C22×C61#54011yescharacteristic
714C22×C61#54011yescharacteristic
715C22×C61D4211yescharacteristic
716C22×C61D4211yescharacteristic
717C22×C61D4211yescharacteristic
718C22×C61D4211yescharacteristic
719C22×C61D4211yescharacteristic
720C22×C61#54611yescharacteristic
721C22×C61#54611yescharacteristic
722C22×C61#54611yescharacteristic
723C22×C61#54611yescharacteristic
724C22×C61#54611yescharacteristic
725C22×C61#54611yescharacteristic
726C22×C61#54611yescharacteristic
727C22×C61#54611yescharacteristic
728C22×C61#54611yescharacteristic
729C22×C61#55011yescharacteristic
730C22×C61#55311yescharacteristic
731C22×C61#55311yescharacteristic
732C22×C61#55311yescharacteristic
733C22×C61#56011yescharacteristic
734C22×C61#56011yescharacteristic
735C4×C61—24no—
736C4×C61—42no—
737C4×C61—42no—
738C4×C61—42no—
739C4×C61—42no—
740C4×C61—42no—
741C4×C61—42no—
742C4×C61—42no—
743C4×C61—42no—
744C4×C61—81no—
745C4×C61—81no—
746C22×#121C2×C6111yescharacteristic, complemented
747C2×#392C2×C6111yescharacteristic, complemented
748C2×#392C2×C6111yescharacteristic, complemented
749C2×#392C2×C6111yescharacteristic, complemented
750C2×#386C2×C6111yescharacteristic, complemented
751C2×#386C2×C6111yescharacteristic, complemented
752C2×#386C2×C6111yescharacteristic, complemented
753C2×#386C2×C6111yescharacteristic, complemented
754#1442C2×C6111yescharacteristic, complemented
755#1440C2×C6111yescharacteristic, complemented
756#1440C2×C6111yescharacteristic, complemented
757#1439C2×C6111yescharacteristic, complemented
758#1438C2×C6111yescharacteristic, complemented
759#1438C2×C6111yescharacteristic, complemented
760C22⋊#95C2×C6111yescharacteristic, complemented
761C2×C61—44no—
762C2×C61—44no—
763C2×C61—82no—
764C2×C61—82no—
765C2×C61#240411yescharacteristic
766C2×C61#241011yescharacteristic
767C2×C61#241011yescharacteristic
768C2×C61#242411yescharacteristic
769C2×C61#242811yescharacteristic
770C2×C61#245611yescharacteristic
771C2×C61#246411yescharacteristic
772C2×C61#253511yescharacteristic
773C2×C61#254311yescharacteristic
774C2×C61#266811yescharacteristic
775C2×C61#266911yescharacteristic
776C2×C61#267311yescharacteristic
777C2×C61#268811yescharacteristic
778C2×C61#268811yescharacteristic
779C2×C61#270311yescharacteristic
780C23×D4C22×C6111yescharacteristic
781C23×D4C22×C6111yescharacteristic
782C23×D4C22×C6111yescharacteristic
783C23×D4C22×C6111yescharacteristic
784C23×D4C22×C6111yescharacteristic
785C23×D4C22×C6111yescharacteristic
786C24×C4C22×C6111yescharacteristic
787C24×C4C22×C6111yescharacteristic
788C2×#121—24no—
789C2×#121—24no—
790C2×#121—24no—
791C22×C4⋊C4C22×C6111yescharacteristic
792C22×C22⋊C4C22×C6111yescharacteristic
793C22×C22⋊C4C22×C6111yescharacteristic
794C22×C22⋊C4C22×C6111yescharacteristic
795C22×C22⋊C4C22×C6111yescharacteristic
796C22×C22⋊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
806#392—24no—
807#392—24no—
808#392—24no—
809#386—24no—
810#386—24no—
811#386—24no—
812#386—24no—
813C2×#95C22×C6111yescharacteristic
814C2×#95C22×C6111yescharacteristic
815C2×#95C22×C6111yescharacteristic
816C2×#95C22×C6111yescharacteristic
817C2×#95C22×C6111yescharacteristic
818C2×#95C22×C6111yescharacteristic
819C2×#95C22×C6111yescharacteristic
820C2×#95C22×C6111yescharacteristic
821C2×#95C22×C6111yescharacteristic
822C2×#95C22×C6111yescharacteristic
823C2×#95C22×C6111yescharacteristic
824C2×#95C22×C6111yescharacteristic
825C61#1527311yescharacteristic, direct product factor, Sylow
826C25C23×C6111yescharacteristic
827C25C23×C6111yescharacteristic
828C25C23×C6111yescharacteristic
829C25C23×C6111yescharacteristic
830C22×D4—22no—
831C22×D4—22no—
832C22×D4—22no—
833C22×D4—22no—
834C22×D4—22no—
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—41no—
857C22×D4—41no—
858C22×D4—41no—
859C22×D4—41no—
860C22×D4—41no—
861C22×D4—41no—
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×D4D4×C6114yescomplemented
871C22×D4D4×C6114yescomplemented
872C23×C4—22no—
873C23×C4—22no—
874C23×C4—22no—
875C23×C4—22no—
876C23×C4—22no—
877C23×C4—22no—
878C23×C4—22no—
879C23×C4—22no—
880C23×C4—41no—
881C23×C4—41no—
882C23×C4—41no—
883C23×C4—41no—
884C23×C4—41no—
885C23×C4—41no—
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
895C23×C4C23×C6111yescharacteristic
896C23×C4C23×C6111yescharacteristic
897#121—232no—
898C2×C4⋊C4—22no—
899C2×C4⋊C4—22no—
900C2×C4⋊C4—22no—
901C2×C22⋊C4—22no—
902C2×C22⋊C4—22no—
903C2×C22⋊C4—22no—
904C2×C22⋊C4—22no—
905C2×C22⋊C4—22no—
906C2×C22⋊C4—22no—
907C2×C22⋊C4—22no—
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—41no—
928C2×C22⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C22⋊C4—41no—
939C2×C22⋊C4—41no—
940C2×C22⋊C4—41no—
941C2×C22⋊C4D4×C6114yescomplemented
942C2×C22⋊C4D4×C6114yescomplemented
943#95—22no—
944#95—22no—
945#95—22no—
946#95—22no—
947#95—22no—
948#95—22no—
949#95—22no—
950#95—22no—
951#95—22no—
952#95—41no—
953#95—41no—
954#95D4×C6114yescomplemented
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
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—
1007C24C2×D4×C6112yes—
1008C24C2×D4×C6112yes—
1009C24C2×D4×C6112yes—
1010C24C2×D4×C6112yes—
1011C24C2×D4×C6112yes—
1012C24C2×D4×C6112yes—
1013C24#41×C6112yes—
1014C24#41×C6112yes—
1015C24C24×C6111yescharacteristic
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
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—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—28no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
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—21no—
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—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
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×C4#41×C6112yes—
1148C22×C4#41×C6112yes—
1149C4⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—44no—
1153C22⋊C4—44no—
1154C22⋊C4—44no—
1155C22⋊C4—44no—
1156C22⋊C4—44no—
1157C22⋊C4—44no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
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—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
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#120×C6114yes—
1303C23#121×C6114yes—
1304C23C22×D4×C6111yescharacteristic
1305C23C22×D4×C6111yescharacteristic
1306C23C22×D4×C6111yescharacteristic
1307C23C22×D4×C6111yescharacteristic
1308C23C22×D4×C6111yescharacteristic
1309C23C2×#41×C6111yescharacteristic
1310C23C2×#41×C6111yescharacteristic
1311C23C2×#41×C6111yescharacteristic
1312C23C2×#41×C6111yescharacteristic
1313C23H(5,𝔽2)×C6111yescharacteristic
1314C23H(5,𝔽2)×C6111yescharacteristic
1315C23H(5,𝔽2)×C6111yescharacteristic
1316C23H(5,𝔽2)×C6111yescharacteristic
1317C23H(5,𝔽2)×C6111yescharacteristic
1318C23H(5,𝔽2)×C6111yescharacteristic
1319D4—416no—
1320D4—416no—
1321D4—416no—
1322D4—416no—
1323D4—416no—
1324D4—416no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
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—416no—
1356C2×C4—416no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
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#121×C6114yes—
1404C22—24no—
1405C22—24no—
1406C22—24no—
1407C22—24no—
1408C22—24no—
1409C22—24no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
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—42no—
1447C22—42no—
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—
1464C22C2×#120×C6111yescharacteristic
1465C22C2×#121×C6111yescharacteristic
1466C22C2×#121×C6111yescharacteristic
1467C22C61×#52511yescharacteristic
1468C22C61×#52511yescharacteristic
1469C22C61×#53211yescharacteristic
1470C22C61×#53411yescharacteristic
1471C22C61×#53411yescharacteristic
1472C22C61×#53411yescharacteristic
1473C22C61×#53511yescharacteristic
1474C22C61×#53511yescharacteristic
1475C22C61×#53811yescharacteristic
1476C22C61×#53811yescharacteristic
1477C22C61×#54011yescharacteristic
1478C22C61×#54011yescharacteristic
1479C22D42×C6111yescharacteristic
1480C22D42×C6111yescharacteristic
1481C22D42×C6111yescharacteristic
1482C22D42×C6111yescharacteristic
1483C22D42×C6111yescharacteristic
1484C22C61×#54611yescharacteristic
1485C22C61×#54611yescharacteristic
1486C22C61×#54611yescharacteristic
1487C22C61×#54611yescharacteristic
1488C22C61×#54611yescharacteristic
1489C22C61×#54611yescharacteristic
1490C22C61×#54611yescharacteristic
1491C22C61×#54611yescharacteristic
1492C22C61×#54611yescharacteristic
1493C22C61×#55011yescharacteristic
1494C22C61×#55311yescharacteristic
1495C22C61×#55311yescharacteristic
1496C22C61×#55311yescharacteristic
1497C22C61×#56011yescharacteristic
1498C22C61×#56011yescharacteristic
1499C4—24no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—81no—
1509C4—81no—
1510C2—44no—
1511C2—44no—
1512C2—82no—
1513C2—82no—
1514C2C61×#240411yescharacteristic
1515C2C61×#241011yescharacteristic
1516C2C61×#241011yescharacteristic
1517C2C61×#242411yescharacteristic
1518C2C61×#242811yescharacteristic
1519C2C61×#245611yescharacteristic
1520C2C61×#246411yescharacteristic
1521C2C61×#253511yescharacteristic
1522C2C61×#254311yescharacteristic
1523C2C61×#266811yescharacteristic
1524C2C61×#266911yescharacteristic
1525C2C61×#267311yescharacteristic
1526C2C61×#268811yescharacteristic
1527C2C61×#268811yescharacteristic
1528C2C61×#270311yescharacteristic
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×#392C2semidirect
3. C2×C61×#392C2semidirect
4. C2×C61×#392C2semidirect
5. C2×C61×#386C2semidirect
6. C2×C61×#386C2semidirect
7. C2×C61×#386C2semidirect
8. C2×C61×#386C2semidirect
9. C61×#1442C2semidirect
10. C61×#1440C2semidirect
11. C61×#1440C2semidirect
12. C61×#1439C2semidirect
13. C61×#1438C2semidirect
14. C61×#1438C2semidirect
15. C61×C22⋊#95C2semidirect
105. C22×D4×C61D4semidirect
106. C22×D4×C61D4semidirect
176. C2×C22⋊C4×C61D4semidirect
177. C2×C22⋊C4×C61D4semidirect
189. #95×C61D4semidirect
639. #15273C61direct (N × H)
746. C22×#121C2×C61semidirect
747. C2×#392C2×C61semidirect
748. C2×#392C2×C61semidirect
749. C2×#392C2×C61semidirect
750. C2×#386C2×C61semidirect
751. C2×#386C2×C61semidirect
752. C2×#386C2×C61semidirect
753. C2×#386C2×C61semidirect
754. #1442C2×C61semidirect
755. #1440C2×C61semidirect
756. #1440C2×C61semidirect
757. #1439C2×C61semidirect
758. #1438C2×C61semidirect
759. #1438C2×C61semidirect
760. C22⋊#95C2×C61semidirect
825. C61#15273direct (N × H)
870. C22×D4D4×C61semidirect
871. C22×D4D4×C61semidirect
941. C2×C22⋊C4D4×C61semidirect
942. C2×C22⋊C4D4×C61semidirect
954. #95D4×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×#3922
C2×C61×#3862
C61×#14422
C61×#14402
C61×#14392
C61×#14382
C61×C22⋊#952
#1527361