Finite Group Databasebeta

← C61×#16284 #29519717

Subgroups — C61×#16284 #29519717

Order 15616.

2594 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#394C211yesmaximal, characteristic, complemented
2C2×C61×#392C211yesmaximal, characteristic, complemented
3C2×C61×#392C211yesmaximal, characteristic, complemented
4C2×C61×#392C211yesmaximal, characteristic, complemented
5C2×C61×#392C211yesmaximal, characteristic, complemented
6C2×C61×#386C211yesmaximal, characteristic, complemented
7C2×C61×#386C211yesmaximal, characteristic, complemented
8C2×C61×#386C211yesmaximal, characteristic, complemented
9C61×#1443C211yesmaximal, characteristic, complemented
10C61×#1440C211yesmaximal, characteristic, complemented
11C61×#1440C211yesmaximal, characteristic, complemented
12C61×#1439C211yesmaximal, characteristic, complemented
13C61×#1439C211yesmaximal, characteristic, complemented
14C61×#1438C211yesmaximal, characteristic, complemented
15C61×#1438C211yesmaximal, characteristic, complemented
16C23×D4×C61C2211yescharacteristic
17C23×D4×C61C2211yescharacteristic
18C23×D4×C61C2211yescharacteristic
19C23×D4×C61C2211yescharacteristic
20C23×D4×C61C2211yescharacteristic
21C23×D4×C61C2211yescharacteristic
22C24×C4×C61C2211yescharacteristic
23C22×C4⋊C4×C61C2211yescharacteristic
24C22×C22⋊C4×C61C2211yescharacteristic
25C22×C22⋊C4×C61C2211yescharacteristic
26C22×C22⋊C4×C61C2211yescharacteristic
27C22×C22⋊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
39C61×#394—24no—
40C61×#392—24no—
41C61×#392—24no—
42C61×#392—24no—
43C61×#392—24no—
44C61×#386—24no—
45C61×#386—24no—
46C61×#386—24no—
47C2×#95×C61C2211yescharacteristic
48C2×#95×C61C2211yescharacteristic
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
59C25×C61C2311yescharacteristic
60C25×C61C2311yescharacteristic
61C25×C61C2311yescharacteristic
62C25×C61C2311yescharacteristic
63C22×D4×C61—22no—
64C22×D4×C61—22no—
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—41no—
85C22×D4×C61—41no—
86C22×D4×C61—41no—
87C22×D4×C61—41no—
88C22×D4×C61—41no—
89C22×D4×C61—41no—
90C22×D4×C61—41no—
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×C61D414yescomplemented
105C23×C4×C61—22no—
106C23×C4×C61—22no—
107C23×C4×C61—22no—
108C23×C4×C61—41no—
109C23×C4×C61—41no—
110C23×C4×C61—41no—
111C23×C4×C61—41no—
112C23×C4×C61C2311yescharacteristic
113C23×C4×C61C2311yescharacteristic
114C23×C4×C61C2311yescharacteristic
115C23×C4×C61C2311yescharacteristic
116C23×C4×C61C2311yescharacteristic
117C23×C4×C61C2311yescharacteristic
118C23×C4×C61C2311yescharacteristic
119C23×C4×C61C2311yescharacteristic
120C23×C4×C61C2311yescharacteristic
121C23×C4×C61C2311yescharacteristic
122C23×C4×C61C2311yescharacteristic
123C2×C4⋊C4×C61—22no—
124C2×C4⋊C4×C61—41no—
125C2×C4⋊C4×C61—41no—
126C2×C22⋊C4×C61—22no—
127C2×C22⋊C4×C61—22no—
128C2×C22⋊C4×C61—22no—
129C2×C22⋊C4×C61—22no—
130C2×C22⋊C4×C61—22no—
131C2×C22⋊C4×C61—22no—
132C2×C22⋊C4×C61—22no—
133C2×C22⋊C4×C61—22no—
134C2×C22⋊C4×C61—22no—
135C2×C22⋊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—41no—
150C2×C22⋊C4×C61—41no—
151C2×C22⋊C4×C61—41no—
152C2×C22⋊C4×C61—41no—
153C2×C22⋊C4×C61—41no—
154C2×C22⋊C4×C61—41no—
155C2×C22⋊C4×C61—41no—
156C2×C22⋊C4×C61—41no—
157C2×C22⋊C4×C61—41no—
158C2×C22⋊C4×C61—41no—
159C2×C22⋊C4×C61—41no—
160C2×C22⋊C4×C61—41no—
161C2×C22⋊C4×C61—41no—
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×C61D414yescomplemented
170C2×C22⋊C4×C61D414yescomplemented
171#95×C61—22no—
172#95×C61—22no—
173#95×C61—22no—
174#95×C61—22no—
175#95×C61—22no—
176#95×C61—22no—
177#95×C61—22no—
178#95×C61—22no—
179#95×C61—22no—
180#95×C61—41no—
181#95×C61—41no—
182#95×C61D414yescomplemented
183C24×C61—21no—
184C24×C61—21no—
185C24×C61—21no—
186C24×C61—21no—
187C24×C61—21no—
188C24×C61—21no—
189C24×C61—21no—
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×C61C2×D412yes—
238C24×C61C2×D412yes—
239C24×C61C2×D412yes—
240C24×C61C2×D412yes—
241C24×C61#4112yes—
242C24×C61#4112yes—
243C24×C61C2411yescharacteristic
244C2×D4×C61—28no—
245C2×D4×C61—28no—
246C2×D4×C61—28no—
247C2×D4×C61—44no—
248C2×D4×C61—44no—
249C2×D4×C61—44no—
250C2×D4×C61—44no—
251C2×D4×C61—44no—
252C2×D4×C61—44no—
253C2×D4×C61—44no—
254C2×D4×C61—44no—
255C2×D4×C61—44no—
256C2×D4×C61—44no—
257C2×D4×C61—44no—
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—
286C22×C4×C61—21no—
287C22×C4×C61—21no—
288C22×C4×C61—21no—
289C22×C4×C61—21no—
290C22×C4×C61—21no—
291C22×C4×C61—21no—
292C22×C4×C61—21no—
293C22×C4×C61—21no—
294C22×C4×C61—21no—
295C22×C4×C61—21no—
296C22×C4×C61—21no—
297C22×C4×C61—21no—
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—44no—
355C22×C4×C61—44no—
356C22×C4×C61—44no—
357C22×C4×C61—44no—
358C22×C4×C61—44no—
359C22×C4×C61—44no—
360C22×C4×C61—44no—
361C22×C4×C61C2×D412yes—
362C22×C4×C61C2×D412yes—
363C22×C4×C61C2×D412yes—
364C22×C4×C61C2×D412yes—
365C22×C4×C61C2×D412yes—
366C22×C4×C61C2×D412yes—
367C22×C4×C61C2×D412yes—
368C22×C4×C61C2×D412yes—
369C22×C4×C61#4112yes—
370C4⋊C4×C61—44no—
371C22⋊C4×C61—44no—
372C22⋊C4×C61—44no—
373C22⋊C4×C61—44no—
374C22⋊C4×C61—44no—
375C22⋊C4×C61—44no—
376C22⋊C4×C61—44no—
377C22⋊C4×C61—44no—
378C22⋊C4×C61—44no—
379C22⋊C4×C61—44no—
380C22⋊C4×C61—44no—
381C22⋊C4×C61—44no—
382C22⋊C4×C61—44no—
383C22⋊C4×C61—44no—
384C22⋊C4×C61—44no—
385C22⋊C4×C61—44no—
386C23×C61—22no—
387C23×C61—22no—
388C23×C61—22no—
389C23×C61—22no—
390C23×C61—22no—
391C23×C61—22no—
392C23×C61—22no—
393C23×C61—22no—
394C23×C61—22no—
395C23×C61—22no—
396C23×C61—22no—
397C23×C61—22no—
398C23×C61—22no—
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—41no—
426C23×C61—41no—
427C23×C61—41no—
428C23×C61—41no—
429C23×C61—41no—
430C23×C61—41no—
431C23×C61—41no—
432C23×C61—41no—
433C23×C61—41no—
434C23×C61—41no—
435C23×C61—41no—
436C23×C61—41no—
437C23×C61—41no—
438C23×C61—41no—
439C23×C61—41no—
440C23×C61—41no—
441C23×C61—41no—
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#12114yes—
526C23×C61C22×D411yescharacteristic
527C23×C61C22×D411yescharacteristic
528C23×C61C22×D411yescharacteristic
529C23×C61C22×D411yescharacteristic
530C23×C61C2×#4111yescharacteristic
531C23×C61C2×#4111yescharacteristic
532C23×C61C2×#4111yescharacteristic
533C23×C61H(5,𝔽2)11yescharacteristic
534C23×C61H(5,𝔽2)11yescharacteristic
535C23×C61H(5,𝔽2)11yescharacteristic
536C23×C61H(5,𝔽2)11yescharacteristic
537C23×C61H(5,𝔽2)11yescharacteristic
538C23×C61H(5,𝔽2)11yescharacteristic
539C23×C61H(5,𝔽2)11yescharacteristic
540C23×C61H(5,𝔽2)11yescharacteristic
541D4×C61—416no—
542D4×C61—416no—
543D4×C61—416no—
544D4×C61—416no—
545D4×C61—416no—
546D4×C61—416no—
547C2×C4×C61—22no—
548C2×C4×C61—22no—
549C2×C4×C61—22no—
550C2×C4×C61—22no—
551C2×C4×C61—22no—
552C2×C4×C61—22no—
553C2×C4×C61—22no—
554C2×C4×C61—22no—
555C2×C4×C61—22no—
556C2×C4×C61—22no—
557C2×C4×C61—22no—
558C2×C4×C61—22no—
559C2×C4×C61—22no—
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—416no—
575C2×C4×C61—41no—
576C2×C4×C61—41no—
577C2×C4×C61—41no—
578C2×C4×C61—41no—
579C2×C4×C61—41no—
580C2×C4×C61—41no—
581C2×C4×C61—41no—
582C2×C4×C61—41no—
583C2×C4×C61—41no—
584C2×C4×C61—41no—
585C2×C4×C61—41no—
586C2×C4×C61—41no—
587C2×C4×C61—41no—
588C2×C4×C61—41no—
589C2×C4×C61—41no—
590C2×C4×C61—41no—
591C2×C4×C61—41no—
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—
625#16284C6111yesmaximal, characteristic, direct product factor, Sylow
626C22×C61—24no—
627C22×C61—24no—
628C22×C61—24no—
629C22×C61—42no—
630C22×C61—42no—
631C22×C61—42no—
632C22×C61—42no—
633C22×C61—42no—
634C22×C61—42no—
635C22×C61—42no—
636C22×C61—42no—
637C22×C61—42no—
638C22×C61—42no—
639C22×C61—42no—
640C22×C61—42no—
641C22×C61—42no—
642C22×C61—42no—
643C22×C61—42no—
644C22×C61—42no—
645C22×C61—42no—
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—81no—
663C22×C61—81no—
664C22×C61—81no—
665C22×C61—81no—
666C22×C61—81no—
667C22×C61—81no—
668C22×C61—81no—
669C22×C61—81no—
670C22×C61—81no—
671C22×C61—81no—
672C22×C61—81no—
673C22×C61—81no—
674C22×C61—81no—
675C22×C61—81no—
676C22×C61—81no—
677C22×C61—81no—
678C22×C61—81no—
679C22×C61—81no—
680C22×C61—81no—
681C22×C61—81no—
682C22×C61—81no—
683C22×C61—81no—
684C22×C61—81no—
685C22×C61—81no—
686C22×C61C2×#12111yescharacteristic
687C22×C61#52511yescharacteristic
688C22×C61#52511yescharacteristic
689C22×C61#53411yescharacteristic
690C22×C61#53411yescharacteristic
691C22×C61#53411yescharacteristic
692C22×C61#53411yescharacteristic
693C22×C61#53511yescharacteristic
694C22×C61#53511yescharacteristic
695C22×C61#53511yescharacteristic
696C22×C61#53511yescharacteristic
697C22×C61#53811yescharacteristic
698C22×C61#53811yescharacteristic
699C22×C61#53811yescharacteristic
700C22×C61#53811yescharacteristic
701C22×C61#53811yescharacteristic
702C22×C61#53811yescharacteristic
703C22×C61#54011yescharacteristic
704C22×C61#54011yescharacteristic
705C22×C61D4211yescharacteristic
706C22×C61D4211yescharacteristic
707C22×C61D4211yescharacteristic
708C22×C61D4211yescharacteristic
709C22×C61D4211yescharacteristic
710C22×C61#54611yescharacteristic
711C22×C61#54611yescharacteristic
712C22×C61#54611yescharacteristic
713C22×C61#54611yescharacteristic
714C22×C61#54611yescharacteristic
715C22×C61#55011yescharacteristic
716C22×C61#55311yescharacteristic
717C22×C61#56011yescharacteristic
718C22×C61#56011yescharacteristic
719C22×C61#56011yescharacteristic
720C22×C61#56011yescharacteristic
721C4×C61—42no—
722C4×C61—42no—
723C4×C61—42no—
724C4×C61—42no—
725C4×C61—42no—
726C4×C61—42no—
727C4×C61—42no—
728C4×C61—42no—
729C4×C61—42no—
730C4×C61—81no—
731C4×C61—81no—
732C2×#394C2×C6111yescharacteristic, complemented
733C2×#392C2×C6111yescharacteristic, complemented
734C2×#392C2×C6111yescharacteristic, complemented
735C2×#392C2×C6111yescharacteristic, complemented
736C2×#392C2×C6111yescharacteristic, complemented
737C2×#386C2×C6111yescharacteristic, complemented
738C2×#386C2×C6111yescharacteristic, complemented
739C2×#386C2×C6111yescharacteristic, complemented
740#1443C2×C6111yescharacteristic, complemented
741#1440C2×C6111yescharacteristic, complemented
742#1440C2×C6111yescharacteristic, complemented
743#1439C2×C6111yescharacteristic, complemented
744#1439C2×C6111yescharacteristic, complemented
745#1438C2×C6111yescharacteristic, complemented
746#1438C2×C6111yescharacteristic, complemented
747C2×C61—44no—
748C2×C61—82no—
749C2×C61—82no—
750C2×C61—82no—
751C2×C61#242411yescharacteristic
752C2×C61#242411yescharacteristic
753C2×C61#245611yescharacteristic
754C2×C61#261711yescharacteristic
755C2×C61#263111yescharacteristic
756C2×C61#263511yescharacteristic
757C2×C61#266811yescharacteristic
758C2×C61#266911yescharacteristic
759C2×C61#266911yescharacteristic
760C2×C61#267311yescharacteristic
761C2×C61#267311yescharacteristic
762C2×C61#267811yescharacteristic
763C2×C61#268811yescharacteristic
764C2×C61#270311yescharacteristic
765C2×C61#282511yescharacteristic
766C23×D4C22×C6111yescharacteristic
767C23×D4C22×C6111yescharacteristic
768C23×D4C22×C6111yescharacteristic
769C23×D4C22×C6111yescharacteristic
770C23×D4C22×C6111yescharacteristic
771C23×D4C22×C6111yescharacteristic
772C24×C4C22×C6111yescharacteristic
773C22×C4⋊C4C22×C6111yescharacteristic
774C22×C22⋊C4C22×C6111yescharacteristic
775C22×C22⋊C4C22×C6111yescharacteristic
776C22×C22⋊C4C22×C6111yescharacteristic
777C22×C22⋊C4C22×C6111yescharacteristic
778C22×C22⋊C4C22×C6111yescharacteristic
779C22×C22⋊C4C22×C6111yescharacteristic
780C22×C22⋊C4C22×C6111yescharacteristic
781C22×C22⋊C4C22×C6111yescharacteristic
782C22×C22⋊C4C22×C6111yescharacteristic
783C22×C22⋊C4C22×C6111yescharacteristic
784C22×C22⋊C4C22×C6111yescharacteristic
785C22×C22⋊C4C22×C6111yescharacteristic
786C22×C22⋊C4C22×C6111yescharacteristic
787C22×C22⋊C4C22×C6111yescharacteristic
788C22×C22⋊C4C22×C6111yescharacteristic
789#394—24no—
790#392—24no—
791#392—24no—
792#392—24no—
793#392—24no—
794#386—24no—
795#386—24no—
796#386—24no—
797C2×#95C22×C6111yescharacteristic
798C2×#95C22×C6111yescharacteristic
799C2×#95C22×C6111yescharacteristic
800C2×#95C22×C6111yescharacteristic
801C2×#95C22×C6111yescharacteristic
802C2×#95C22×C6111yescharacteristic
803C2×#95C22×C6111yescharacteristic
804C2×#95C22×C6111yescharacteristic
805C2×#95C22×C6111yescharacteristic
806C2×#95C22×C6111yescharacteristic
807C2×#95C22×C6111yescharacteristic
808C2×#95C22×C6111yescharacteristic
809C61#1628411yescharacteristic, direct product factor, Sylow
810C25C23×C6111yescharacteristic
811C25C23×C6111yescharacteristic
812C25C23×C6111yescharacteristic
813C25C23×C6111yescharacteristic
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—22no—
829C22×D4—22no—
830C22×D4—22no—
831C22×D4—22no—
832C22×D4—22no—
833C22×D4—22no—
834C22×D4—22no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4—41no—
841C22×D4—41no—
842C22×D4—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4—41no—
847C22×D4—41no—
848C22×D4—41no—
849C22×D4—41no—
850C22×D4—41no—
851C22×D4—41no—
852C22×D4—41no—
853C22×D4—41no—
854C22×D4—41no—
855C22×D4D4×C6114yescomplemented
856C23×C4—22no—
857C23×C4—22no—
858C23×C4—22no—
859C23×C4—41no—
860C23×C4—41no—
861C23×C4—41no—
862C23×C4—41no—
863C23×C4C23×C6111yescharacteristic
864C23×C4C23×C6111yescharacteristic
865C23×C4C23×C6111yescharacteristic
866C23×C4C23×C6111yescharacteristic
867C23×C4C23×C6111yescharacteristic
868C23×C4C23×C6111yescharacteristic
869C23×C4C23×C6111yescharacteristic
870C23×C4C23×C6111yescharacteristic
871C23×C4C23×C6111yescharacteristic
872C23×C4C23×C6111yescharacteristic
873C23×C4C23×C6111yescharacteristic
874C2×C4⋊C4—22no—
875C2×C4⋊C4—41no—
876C2×C4⋊C4—41no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—22no—
895C2×C22⋊C4—22no—
896C2×C22⋊C4—22no—
897C2×C22⋊C4—22no—
898C2×C22⋊C4—22no—
899C2×C22⋊C4—22no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4D4×C6114yescomplemented
921C2×C22⋊C4D4×C6114yescomplemented
922#95—22no—
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—41no—
932#95—41no—
933#95D4×C6114yescomplemented
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
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—
988C24C2×D4×C6112yes—
989C24C2×D4×C6112yes—
990C24C2×D4×C6112yes—
991C24C2×D4×C6112yes—
992C24#41×C6112yes—
993C24#41×C6112yes—
994C24C24×C6111yescharacteristic
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
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—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
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—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4C2×D4×C6112yes—
1113C22×C4C2×D4×C6112yes—
1114C22×C4C2×D4×C6112yes—
1115C22×C4C2×D4×C6112yes—
1116C22×C4C2×D4×C6112yes—
1117C22×C4C2×D4×C6112yes—
1118C22×C4C2×D4×C6112yes—
1119C22×C4C2×D4×C6112yes—
1120C22×C4#41×C6112yes—
1121C4⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
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—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
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—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
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#121×C6114yes—
1277C23C22×D4×C6111yescharacteristic
1278C23C22×D4×C6111yescharacteristic
1279C23C22×D4×C6111yescharacteristic
1280C23C22×D4×C6111yescharacteristic
1281C23C2×#41×C6111yescharacteristic
1282C23C2×#41×C6111yescharacteristic
1283C23C2×#41×C6111yescharacteristic
1284C23H(5,𝔽2)×C6111yescharacteristic
1285C23H(5,𝔽2)×C6111yescharacteristic
1286C23H(5,𝔽2)×C6111yescharacteristic
1287C23H(5,𝔽2)×C6111yescharacteristic
1288C23H(5,𝔽2)×C6111yescharacteristic
1289C23H(5,𝔽2)×C6111yescharacteristic
1290C23H(5,𝔽2)×C6111yescharacteristic
1291C23H(5,𝔽2)×C6111yescharacteristic
1292D4—416no—
1293D4—416no—
1294D4—416no—
1295D4—416no—
1296D4—416no—
1297D4—416no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—416no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
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—
1376C22—24no—
1377C22—24no—
1378C22—24no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—42no—
1396C22—42no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—42no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22C2×#121×C6111yescharacteristic
1437C22C61×#52511yescharacteristic
1438C22C61×#52511yescharacteristic
1439C22C61×#53411yescharacteristic
1440C22C61×#53411yescharacteristic
1441C22C61×#53411yescharacteristic
1442C22C61×#53411yescharacteristic
1443C22C61×#53511yescharacteristic
1444C22C61×#53511yescharacteristic
1445C22C61×#53511yescharacteristic
1446C22C61×#53511yescharacteristic
1447C22C61×#53811yescharacteristic
1448C22C61×#53811yescharacteristic
1449C22C61×#53811yescharacteristic
1450C22C61×#53811yescharacteristic
1451C22C61×#53811yescharacteristic
1452C22C61×#53811yescharacteristic
1453C22C61×#54011yescharacteristic
1454C22C61×#54011yescharacteristic
1455C22D42×C6111yescharacteristic
1456C22D42×C6111yescharacteristic
1457C22D42×C6111yescharacteristic
1458C22D42×C6111yescharacteristic
1459C22D42×C6111yescharacteristic
1460C22C61×#54611yescharacteristic
1461C22C61×#54611yescharacteristic
1462C22C61×#54611yescharacteristic
1463C22C61×#54611yescharacteristic
1464C22C61×#54611yescharacteristic
1465C22C61×#55011yescharacteristic
1466C22C61×#55311yescharacteristic
1467C22C61×#56011yescharacteristic
1468C22C61×#56011yescharacteristic
1469C22C61×#56011yescharacteristic
1470C22C61×#56011yescharacteristic
1471C4—42no—
1472C4—42no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C4—42no—
1480C4—81no—
1481C4—81no—
1482C2—44no—
1483C2—82no—
1484C2—82no—
1485C2—82no—
1486C2C61×#242411yescharacteristic
1487C2C61×#242411yescharacteristic
1488C2C61×#245611yescharacteristic
1489C2C61×#261711yescharacteristic
1490C2C61×#263111yescharacteristic
1491C2C61×#263511yescharacteristic
1492C2C61×#266811yescharacteristic
1493C2C61×#266911yescharacteristic
1494C2C61×#266911yescharacteristic
1495C2C61×#267311yescharacteristic
1496C2C61×#267311yescharacteristic
1497C2C61×#267811yescharacteristic
1498C2C61×#268811yescharacteristic
1499C2C61×#270311yescharacteristic
1500C2C61×#282511yescharacteristic
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. C2×C61×#394C2semidirect
2. C2×C61×#392C2semidirect
3. C2×C61×#392C2semidirect
4. C2×C61×#392C2semidirect
5. C2×C61×#392C2semidirect
6. C2×C61×#386C2semidirect
7. C2×C61×#386C2semidirect
8. C2×C61×#386C2semidirect
9. C61×#1443C2semidirect
10. C61×#1440C2semidirect
11. C61×#1440C2semidirect
12. C61×#1439C2semidirect
13. C61×#1439C2semidirect
14. C61×#1438C2semidirect
15. C61×#1438C2semidirect
104. C22×D4×C61D4semidirect
169. C2×C22⋊C4×C61D4semidirect
170. C2×C22⋊C4×C61D4semidirect
182. #95×C61D4semidirect
625. #16284C61direct (N × H)
732. C2×#394C2×C61semidirect
733. C2×#392C2×C61semidirect
734. C2×#392C2×C61semidirect
735. C2×#392C2×C61semidirect
736. C2×#392C2×C61semidirect
737. C2×#386C2×C61semidirect
738. C2×#386C2×C61semidirect
739. C2×#386C2×C61semidirect
740. #1443C2×C61semidirect
741. #1440C2×C61semidirect
742. #1440C2×C61semidirect
743. #1439C2×C61semidirect
744. #1439C2×C61semidirect
745. #1438C2×C61semidirect
746. #1438C2×C61semidirect
809. C61#16284direct (N × H)
855. C22×D4D4×C61semidirect
920. C2×C22⋊C4D4×C61semidirect
921. C2×C22⋊C4D4×C61semidirect
933. #95D4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#3942
C2×C61×#3922
C2×C61×#3862
C61×#14432
C61×#14402
C61×#14392
C61×#14382
#1628461