Finite Group Databasebeta

← C2×#21458661 #30559810

Subgroups — C2×#21458661 #30559810

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840485C211yesmaximal, characteristic
2#21458661C2116yesmaximal, direct product factor
3C2×#16840132C211yesmaximal, characteristic, complemented
4C2×#16840124C211yesmaximal, characteristic
5C2×#16840119C211yesmaximal, characteristic
6C2×#16840066C211yesmaximal, characteristic, complemented
7C2×#16840054C211yesmaximal, characteristic, complemented
8C2×#16840059C211yesmaximal, characteristic
9C2×#16839984C211yesmaximal, characteristic
10C2×#16839984C211yesmaximal, characteristic
11C2×#16839972C211yesmaximal, characteristic, complemented
12C2×#16839893C211yesmaximal, characteristic, complemented
13C2×#16839867C211yesmaximal, characteristic, complemented
14C2×#16839860C211yesmaximal, characteristic
15C2×C4×#11758202C211yesmaximal, characteristic, complemented
16C2×C61×#557C211yesmaximal, characteristic, complemented
17C22×#11758202C2211yescharacteristic
18C22×#11758202C2211yescharacteristic
19C22×#11758201C2211yescharacteristic
20#16840485—24no—
21#16840485C2218yes—
22C2×#14519777C2211yescharacteristic
23C2×#14519772—21no—
24C2×#14519772—21no—
25C2×#14519765C2211yescharacteristic
26C2×#14519765C2211yescharacteristic
27C2×#14519753—21no—
28C2×C4×Dic122C2211yescharacteristic
29C2×C4×Dic122C2211yescharacteristic
30C2×C4×D244C2211yescharacteristic
31C2×#14519735—21no—
32#16840132C2218yescomplemented
33#16840124C2218yes—
34#16840119C2218yes—
35#16840066C2218yescomplemented
36#16840059C2218yes—
37#16840054C2218yescomplemented
38#16839984C2218yes—
39#16839984C2218yes—
40#16839972C2218yescomplemented
41#16839893C2218yescomplemented
42#16839867C2218yescomplemented
43#16839860C2218yes—
44C4×#11758202C2218yescomplemented
45C2×#14519710C2211yescharacteristic
46C2×#14519710C2211yescharacteristic
47C2×#14519708C2211yescharacteristic
48C2×C4⋊#92418C2211yescharacteristic
49C2×C4⋊#92418C2211yescharacteristic
50C2×C4⋊#92418C2211yescharacteristic
51C2×#14519701C2211yescharacteristic
52C2×#14519700C2211yescharacteristic
53C2×#14519700C2211yescharacteristic
54C2×#14519700C2211yescharacteristic
55C2×#14519700C2211yescharacteristic
56C2×#14519700C2211yescharacteristic
57C2×#14519700C2211yescharacteristic
58C2×#14519697C2211yescharacteristic
59C2×#14519697C2211yescharacteristic
60C2×#14519697C2211yescharacteristic
61C2×#14519688C2211yescharacteristic
62C2×#14519688C2211yescharacteristic
63C2×C4×#92418C2211yescharacteristic
64C61×#557—24no—
65C61×#557C2218yescomplemented
66C2×C4⋊Q8×C61—21no—
67C2×C4⋊Q8×C61C2211yescharacteristic
68C2×#125×C61—21no—
69C2×#125×C61—21no—
70C2×#125×C61C2211yescharacteristic
71C2×#125×C61C2211yescharacteristic
72C2×C4×Q8×C61—21no—
73C2×C4×Q8×C61C2211yescharacteristic
74C2×C4×Q8×C61C2211yescharacteristic
75C2×C4×Q8×C61C2211yescharacteristic
76C2×C4×Q8×C61C2211yescharacteristic
77C22×Dic122C2311yescharacteristic
78C22×Dic122C2311yescharacteristic
79C22×D244C2311yescharacteristic
80C22×C4×D61—21no—
81C2×#11758202—24no—
82C2×#11758202—24no—
83C2×#11758202C2314yes—
84C2×#11758202C2314yes—
85C2×#11758201—24no—
86C2×#11758201C2314yes—
87C22×#92418C2311yescharacteristic
88C22×#92418C2311yescharacteristic
89C22×#92418C2311yescharacteristic
90C22×#92418C2311yescharacteristic
91#14519777—22no—
92#14519777C2314yes—
93#14519772—28no—
94#14519772—28no—
95#14519765—22no—
96#14519765—22no—
97#14519765C2314yes—
98#14519765C2314yes—
99#14519753—28no—
100C4×Dic122—22no—
101C4×Dic122—22no—
102C4×Dic122C2314yes—
103C4×Dic122C2314yes—
104C4×D244—22no—
105C4×D244C2314yes—
106#14519735—28no—
107C2×C4⋊Dic61—21no—
108C2×C4⋊Dic61—21no—
109C2×C4⋊Dic61C2311yescharacteristic
110C2×#11758196—21no—
111C2×#11758196—21no—
112C2×#11758198—21no—
113C2×#11758198—21no—
114C2×#11758198—21no—
115C2×#11758198—21no—
116C2×#11758198—21no—
117C2×C4×Dic61—21no—
118C2×C4×Dic61—21no—
119#14519710C2314yes—
120#14519710C2314yes—
121#14519708C2314yes—
122C4⋊#92418C2314yes—
123C4⋊#92418C2314yes—
124C4⋊#92418C2314yes—
125#14519701C2314yes—
126#14519700C2314yes—
127#14519700C2314yes—
128#14519700C2314yes—
129#14519700C2314yes—
130#14519700C2314yes—
131#14519700C2314yes—
132#14519697C2314yes—
133#14519697C2314yes—
134#14519697C2314yes—
135#14519688C2314yes—
136#14519688C2314yes—
137C4×#92418C2314yes—
138C22×Q8×C61—21no—
139C22×Q8×C61D411yescharacteristic
140C22×Q8×C61C2311yescharacteristic
141C4⋊Q8×C61—28no—
142C4⋊Q8×C61—22no—
143C4⋊Q8×C61C2314yes—
144#125×C61—28no—
145#125×C61—28no—
146#125×C61—22no—
147#125×C61—22no—
148#125×C61C2314yes—
149#125×C61C2314yes—
150C4×Q8×C61—28no—
151C4×Q8×C61—22no—
152C4×Q8×C61—22no—
153C4×Q8×C61—22no—
154C4×Q8×C61D414yes—
155C4×Q8×C61C2314yes—
156C4×Q8×C61C2314yes—
157C4×Q8×C61C2314yes—
158C4×Q8×C61C2314yes—
159C2×C4⋊C4×C61—21no—
160C2×C4⋊C4×C61—21no—
161C2×C4⋊C4×C61—21no—
162C2×C4⋊C4×C61—21no—
163C2×C4⋊C4×C61—21no—
164C2×C4⋊C4×C61—21no—
165C2×C4⋊C4×C61—21no—
166C2×C4⋊C4×C61—21no—
167C2×C4⋊C4×C61D411yescharacteristic
168C2×C4⋊C4×C61D411yescharacteristic
169C2×C4⋊C4×C61D411yescharacteristic
170C2×C4⋊C4×C61C2311yescharacteristic
171C2×C4⋊C4×C61C2311yescharacteristic
172C2×C4⋊C4×C61C2311yescharacteristic
173C2×C42×C61—21no—
174C2×C42×C61—21no—
175C2×C42×C61—21no—
176C2×C42×C61C2311yescharacteristic
177C2×C42×C61C2311yescharacteristic
178C2×C42×C61C2311yescharacteristic
179C23×D61—21no—
180C2×Q8×C61—21no—
181C2×Q8×C61—24no—
182C2×Q8×C61—22no—
183C2×Q8×C61—42no—
184C2×Q8×C61—44no—
185C2×Q8×C61C2×D414yes—
186C2×Q8×C61#4114yes—
187C2×Q8×C61C2412yes—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61C2×D411yescharacteristic
197C22×C4×C61C2×D411yescharacteristic
198C22×C4×C61C2411yescharacteristic
199C22×Dic61—21no—
200C22×Dic61—21no—
201C22×Dic61—21no—
202C2×D244—22no—
203C2×D244—22no—
204C2×D244—21no—
205C2×D244C2412yes—
206C2×C4×D61—24no—
207C2×C4×D61—44no—
208C2×Dic122—22no—
209C2×Dic122—22no—
210C2×Dic122—22no—
211C2×Dic122—22no—
212C2×Dic122—21no—
213C2×Dic122—21no—
214C2×Dic122C2412yes—
215C2×Dic122C2412yes—
216C4⋊C4×C61—24no—
217C4⋊C4×C61—24no—
218C4⋊C4×C61—24no—
219C4⋊C4×C61—24no—
220C4⋊C4×C61—24no—
221C4⋊C4×C61—24no—
222C4⋊C4×C61—24no—
223C4⋊C4×C61—24no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61C2×D414yes—
228C4⋊C4×C61C2×D414yes—
229C4⋊C4×C61C2×D414yes—
230C4⋊C4×C61C2412yes—
231C4⋊C4×C61C2412yes—
232C4⋊C4×C61C2412yes—
233C42×C61—24no—
234C42×C61—24no—
235C42×C61—24no—
236C42×C61C2×D412yes—
237C42×C61C2×D412yes—
238C42×C61C2×D412yes—
239C42×C61C2412yes—
240C42×C61C2412yes—
241C42×C61C2412yes—
242#11758202—28no—
243#11758202—28no—
244#11758201—28no—
245#11758198—24no—
246#11758198—24no—
247#11758198—24no—
248#11758198—24no—
249#11758198—24no—
250C4⋊Dic61—24no—
251C4⋊Dic61—24no—
252C4⋊Dic61—21no—
253C4⋊Dic61C2412yes—
254#11758196—24no—
255#11758196—24no—
256C4×Dic61—24no—
257C4×Dic61—24no—
258C2×#92418—22no—
259C2×#92418—22no—
260C2×#92418—22no—
261C2×#92418—22no—
262C2×#92418C2412yes—
263C2×#92418C2412yes—
264C2×#92418C2412yes—
265C2×#92418C2412yes—
266C23×C61C22×D411yescharacteristic
267C22×D61—22no—
268C22×D61—42no—
269C22×D61—42no—
270C22×D61—42no—
271Q8×C61—24no—
272Q8×C61—22no—
273Q8×C61—44no—
274Q8×C61—48no—
275Q8×C61C2×#4114yes—
276C2×C4×C61—24no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—22no—
285C2×C4×C61—22no—
286C2×C4×C61—22no—
287C2×C4×C61—42no—
288C2×C4×C61—42no—
289C2×C4×C61—42no—
290C2×C4×C61C22×D412yes—
291C2×C4×C61C22×D412yes—
292C2×C4×C61C22×D412yes—
293C2×C4×C61C22×D412yes—
294C2×C4×C61C22×D412yes—
295C2×C4×C61C22×D412yes—
296C2×C4×C61C22×D411yescharacteristic
297C2×C4×C61C2×#4112yes—
298C2×C4×C612−1+412yes—
299C2×C4×C61C2511yescharacteristic
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306D244—22no—
307D244—22no—
308D244—42no—
309C4×D61—48no—
310Dic122—22no—
311Dic122—22no—
312Dic122—22no—
313Dic122—22no—
314Dic122—42no—
315Dic122—42no—
316#92418—22no—
317#92418—22no—
318#92418—22no—
319#92418—22no—
320C2×#3377—611nomaximal, Sylow
321C22×C61#54812yes—
322C22×C61#57512yes—
323C22×C61#57812yes—
324C22×C61C23×D411yescharacteristic
325C2×D61—42no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—84no—
329C4×C61—24no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—22no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61#54812yes—
340C4×C61C22×#4111yescharacteristic
341C4×C61C2×2−1+411yescharacteristic
342Dic61—42no—
343Dic61—42no—
344Dic61—42no—
345C2×#557D6111yescharacteristic, complemented
346C2×#556—611no—
347#3377—6116no—
348C2×#491—611no—
349C2×#489—611no—
350C2×#488—611no—
351C2×#479—611no—
352C2×#477—611no—
353C2×#478—611no—
354C2×#464—611no—
355C2×#464—611no—
356C2×#462—611no—
357C2×#446—611no—
358C2×#441—611no—
359C2×#440—611no—
360C2×C4×Q16—611no—
361C2×C61#337714yescomplemented
362C2×C61C2×#54811yescharacteristic
363C2×C61C2×#57511yescharacteristic
364C2×C61C2×#57811yescharacteristic
365D61—82no—
366C22×Q16—611no—
367C22×Q16—611no—
368C22×SD16—611no—
369#557—24no—
370#557C2×D6118yescomplemented
371#556—618no—
372#556—1224no—
373C2×C4⋊Q8—21no—
374C2×C4⋊Q8—611no—
375C2×C4⋊Q8C2×D6111yescharacteristic
376C2×#126—1221no—
377C2×#126—1221no—
378C2×#125—21no—
379C2×#125—21no—
380C2×#125C2×D6111yescharacteristic
381C2×#125C2×D6111yescharacteristic
382C2×#124—611no—
383C2×#124—611no—
384C2×C22⋊Q8—1221no—
385C2×C4×Q8—21no—
386C2×C4×Q8—611no—
387C2×C4×Q8—611no—
388C2×C4×Q8C2×D6111yescharacteristic
389C2×C4×Q8C2×D6111yescharacteristic
390C2×C4×Q8C2×D6111yescharacteristic
391C2×C4×Q8C2×D6111yescharacteristic
392C2×C4×D4—611no—
393C2×#117—1221no—
394#491—618no—
395#489—618no—
396#488—618no—
397#479—618no—
398#478—618no—
399#477—618no—
400#464—618no—
401#464—618no—
402#462—618no—
403#446—618no—
404#441—618no—
405#440—618no—
406C4×Q16—618no—
407C2×#107—611no—
408C2×#107—611no—
409C2×#106—611no—
410C2×C4⋊C8—611no—
411C2×C4⋊C8—611no—
412C2×C4⋊C8—611no—
413C2×#103—611no—
414C2×#103—611no—
415C2×#103—611no—
416C2×#103—611no—
417C2×#103—611no—
418C2×#103—611no—
419C2×#103—611no—
420C2×#102—611no—
421C2×#102—611no—
422C2×#102—611no—
423C2×#97—611no—
424C2×#97—611no—
425C2×C4×C8—611no—
426C61C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—21no—
428C22×Q8—611no—
429C22×Q8—611no—
430C22×Q8C22⋊D6111yescharacteristic
431C22×Q8C22×D6111yescharacteristic
432C22×D4—611no—
433C23×C4—1221no—
434C2×Q16—614no—
435C2×Q16—614no—
436C2×Q16—1224no—
437C2×Q16—1224no—
438C2×SD16—614no—
439C2×SD16—1224no—
440C22×C8—611no—
441C22×C8—611no—
442C22×C8—611no—
443C22×C8—611no—
444C4⋊Q8—28no—
445C4⋊Q8—22no—
446C4⋊Q8—614no—
447C4⋊Q8—1222no—
448C4⋊Q8C22×D6114yes—
449#126—1228no—
450#126—1228no—
451#125—28no—
452#125—28no—
453#125—22no—
454#125—22no—
455#125C22×D6114yes—
456#125C22×D6114yes—
457#124—614no—
458#124—614no—
459#124—1222no—
460#124—1222no—
461C22⋊Q8—1228no—
462C4×Q8—28no—
463C4×Q8—22no—
464C4×Q8—22no—
465C4×Q8—22no—
466C4×Q8—614no—
467C4×Q8—614no—
468C4×Q8—1222no—
469C4×Q8—1222no—
470C4×Q8C22⋊D6114yes—
471C4×Q8C22×D6114yes—
472C4×Q8C22×D6114yes—
473C4×Q8C22×D6114yes—
474C4×Q8C22×D6114yes—
475C4×D4—614no—
476C4×D4—1222no—
477#117—1228no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—611no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4C22⋊D6111yescharacteristic
492C2×C4⋊C4C22⋊D6111yescharacteristic
493C2×C4⋊C4C22⋊D6111yescharacteristic
494C2×C4⋊C4C22×D6111yescharacteristic
495C2×C4⋊C4C22×D6111yescharacteristic
496C2×C4⋊C4C22×D6111yescharacteristic
497C2×C22⋊C4—1221no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1221no—
500C2×C22⋊C4—1221no—
501C2×C22⋊C4—1221no—
502C2×C42—21no—
503C2×C42—21no—
504C2×C42—21no—
505C2×C42—1221no—
506C2×C42—1221no—
507C2×C42C22×D6111yescharacteristic
508C2×C42C22×D6111yescharacteristic
509C2×C42C22×D6111yescharacteristic
510#107—614no—
511#107—614no—
512#106—614no—
513C4⋊C8—614no—
514C4⋊C8—614no—
515C4⋊C8—614no—
516#103—614no—
517#103—614no—
518#103—614no—
519#103—614no—
520#103—614no—
521#103—614no—
522#103—614no—
523#102—614no—
524#102—614no—
525#102—614no—
526#97—614no—
527#97—614no—
528C4×C8—614no—
529C24—1221no—
530C2×Q8—21no—
531C2×Q8—24no—
532C2×Q8—22no—
533C2×Q8—42no—
534C2×Q8—44no—
535C2×Q8—612no—
536C2×Q8—612no—
537C2×Q8—1221no—
538C2×Q8—1221no—
539C2×Q8—1222no—
540C2×Q8—1222no—
541C2×Q8—1222no—
542C2×Q8—1222no—
543C2×Q8#1175822614yes—
544C2×Q8C2×C22⋊D6114yes—
545C2×Q8C23×D6112yes—
546C2×D4—612no—
547C2×D4—1221no—
548C2×D4—1222no—
549C2×D4—1222no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1224no—
558C22×C4—2444no—
559C22×C4C2×C22⋊D6111yescharacteristic
560C22×C4C2×C22⋊D6111yescharacteristic
561C22×C4C2×C22⋊D6111yescharacteristic
562C22×C4C2×C22⋊D6111yescharacteristic
563C22×C4C2×C22⋊D6111yescharacteristic
564C22×C4C2×C22⋊D6111yescharacteristic
565C22×C4C23×D6111yescharacteristic
566Q16—1228no—
567Q16—1228no—
568SD16—1228no—
569C2×C8—612no—
570C2×C8—612no—
571C2×C8—612no—
572C2×C8—612no—
573C2×C8—1222no—
574C2×C8—1222no—
575C2×C8—1222no—
576C2×C8—1222no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—612no—
589C4⋊C4—1221no—
590C4⋊C4—1224no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4—1224no—
594C4⋊C4C2×C22⋊D6114yes—
595C4⋊C4C2×C22⋊D6114yes—
596C4⋊C4C2×C22⋊D6114yes—
597C4⋊C4C23×D6112yes—
598C4⋊C4C23×D6112yes—
599C4⋊C4C23×D6112yes—
600C22⋊C4—1224no—
601C22⋊C4—1224no—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C42—24no—
606C42—24no—
607C42—24no—
608C42—1224no—
609C42—1224no—
610C42C2×C22⋊D6112yes—
611C42C2×C22⋊D6112yes—
612C42C2×C22⋊D6112yes—
613C42C23×D6112yes—
614C42C23×D6112yes—
615C42C23×D6112yes—
616C23—1222no—
617C23—2442no—
618C23—2442no—
619C23—2442no—
620C23C22×C22⋊D6111yescharacteristic
621Q8—22no—
622Q8—24no—
623Q8—44no—
624Q8—48no—
625Q8—1222no—
626Q8—1222no—
627Q8—1222no—
628Q8—1222no—
629Q8—2442no—
630Q8—2442no—
631Q8C2×#1175822614yes—
632D4—1222no—
633D4—1222no—
634D4—2442no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—2448no—
653C2×C4—2442no—
654C2×C4—2442no—
655C2×C4—2442no—
656C2×C4C22×C22⋊D6112yes—
657C2×C4C22×C22⋊D6112yes—
658C2×C4C22×C22⋊D6112yes—
659C2×C4C22×C22⋊D6112yes—
660C2×C4C22×C22⋊D6112yes—
661C2×C4C22×C22⋊D6112yes—
662C2×C4C22×C22⋊D6111yescharacteristic
663C2×C4C2×#1175822612yes—
664C2×C4#1451982512yes—
665C2×C4C24×D6111yescharacteristic
666C8—1222no—
667C8—1222no—
668C8—1222no—
669C8—1222no—
670C22—4884no—
671C22—2442no—
672C22—2442no—
673C22—2442no—
674C22#1684042312yes—
675C22#1684056012yes—
676C22#1684057712yes—
677C22C23×C22⋊D6111yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—24no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—2442no—
689C4—2442no—
690C4—2442no—
691C4#1684042312yes—
692C4C22×#1175822611yescharacteristic
693C4C2×#1451982511yescharacteristic
694C2—4882no—
695C2#2145866114yesdirect product factor
696C2C2×#1684042311yescharacteristic
697C2C2×#1684056011yescharacteristic
698C2C2×#1684057711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#557C2
socleC23×C61C22×D4
prime radicalC22×D244C23
hypercenterC2×#557D61
hypocenterC61C2×#3377
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
2. #21458661C2direct (N × H)
3. C2×#16840132C2semidirect
6. C2×#16840066C2semidirect
7. C2×#16840054C2semidirect
11. C2×#16839972C2semidirect
12. C2×#16839893C2semidirect
13. C2×#16839867C2semidirect
15. C2×C4×#11758202C2semidirect
16. C2×C61×#557C2semidirect
32. #16840132C22semidirect
35. #16840066C22semidirect
37. #16840054C22semidirect
40. #16839972C22semidirect
41. #16839893C22semidirect
42. #16839867C22semidirect
44. C4×#11758202C22semidirect
65. C61×#557C22semidirect
345. C2×#557D61semidirect
361. C2×C61#3377semidirect
370. #557C2×D61semidirect
426. C61C2×#3377semidirect
695. C2#21458661direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404852
#214586612
C2×#168401322
C2×#168401242
C2×#168401192
C2×#168400662
C2×#168400542
C2×#168400592
C2×#168399842
C2×#168399722
C2×#168398932
C2×#168398672
C2×#168398602
C2×C4×#117582022
C2×C61×#5572
C2×#337761