Finite Group Databasebeta

← C2×#21458589 #30559796

Subgroups — C2×#21458589 #30559796

Order 15616.

1874 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840497C211yesmaximal, characteristic
2C2×#16840490C211yesmaximal, characteristic, complemented
3#21458589C2116yesmaximal, direct product factor
4C2×#16840127C211yesmaximal, characteristic
5C2×#16840122C211yesmaximal, characteristic, complemented
6C2×#16840117C211yesmaximal, characteristic, complemented
7C2×#16840070C211yesmaximal, characteristic, complemented
8C2×#16840063C211yesmaximal, characteristic, complemented
9C2×#16840053C211yesmaximal, characteristic, complemented
10C2×#16839985C211yesmaximal, characteristic, complemented
11C2×#16839985C211yesmaximal, characteristic, complemented
12C2×#16839963C211yesmaximal, characteristic
13C2×#16839870C211yesmaximal, characteristic, complemented
14C2×#16839864C211yesmaximal, characteristic, complemented
15C2×C4×#11758190C211yesmaximal, characteristic, complemented
16C2×C61×#446C211yesmaximal, characteristic, complemented
17C22×Dic244C2211yescharacteristic
18C22×#11758190C2211yescharacteristic
19C22×#11758190C2211yescharacteristic
20#16840497—24no—
21#16840497C2218yes—
22#16840490—24no—
23#16840490C2218yescomplemented
24C2×#14519777C2211yescharacteristic
25C2×#14519775—21no—
26C2×#14519774C2211yescharacteristic
27C2×#14519769C2211yescharacteristic
28C2×#14519769C2211yescharacteristic
29C2×#14519767—21no—
30C2×#14519767—21no—
31C2×#14519766—21no—
32C2×#14519765C2211yescharacteristic
33C2×#14519765C2211yescharacteristic
34C2×#14519762—21no—
35C2×#14519762—21no—
36C2×C4×Dic122C2211yescharacteristic
37C2×C4×Dic122C2211yescharacteristic
38C2×C4×Dic122C2211yescharacteristic
39C2×C4×Dic122C2211yescharacteristic
40C2×#14519742—21no—
41C2×C4×D244C2211yescharacteristic
42C2×C4×D244C2211yescharacteristic
43C2×#14519739—21no—
44#16840127C2218yes—
45#16840122C2218yescomplemented
46#16840117C2218yescomplemented
47#16840070C2218yescomplemented
48#16840063C2218yescomplemented
49#16840053C2218yescomplemented
50#16839985C2218yescomplemented
51#16839985C2218yescomplemented
52#16839963C2218yes—
53#16839870C2218yescomplemented
54#16839864C2218yescomplemented
55C4×#11758190C2218yescomplemented
56C2×#14519711C2211yescharacteristic
57C2×#14519709C2211yescharacteristic
58C2×#14519709C2211yescharacteristic
59C2×#14519702C2211yescharacteristic
60C2×#14519702C2211yescharacteristic
61C2×#14519702C2211yescharacteristic
62C2×#14519702C2211yescharacteristic
63C2×#14519699C2211yescharacteristic
64C2×#14519699C2211yescharacteristic
65C2×#14519699C2211yescharacteristic
66C2×#14519699C2211yescharacteristic
67C2×#14519699C2211yescharacteristic
68C2×#14519699C2211yescharacteristic
69C2×C4×Q8×C61C2211yescharacteristic
70C61×#446C2218yescomplemented
71C2×C4⋊C8×C61C2211yescharacteristic
72C2×C4⋊C8×C61C2211yescharacteristic
73C2×C4⋊C8×C61C2211yescharacteristic
74C2×#97×C61C2211yescharacteristic
75C2×#97×C61C2211yescharacteristic
76C2×C4×C8×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122C2311yescharacteristic
79C22×Dic122C2311yescharacteristic
80C22×D244—21no—
81C22×D244—21no—
82C22×D244C2311yescharacteristic
83C22×D244C2311yescharacteristic
84C22×C4×D61—21no—
85C22×C4×D61—21no—
86C2×Dic244—24no—
87C2×Dic244C2314yes—
88C2×#11758190—24no—
89C2×#11758190—24no—
90C2×#11758190C2314yes—
91C2×#11758190C2314yes—
92#14519777—22no—
93#14519777C2314yes—
94#14519775—28no—
95#14519774—22no—
96#14519774C2314yes—
97#14519769—22no—
98#14519769—22no—
99#14519769C2314yes—
100#14519769C2314yes—
101#14519767—28no—
102#14519767—28no—
103#14519766—28no—
104#14519765—22no—
105#14519765—22no—
106#14519765C2314yes—
107#14519765C2314yes—
108#14519762—28no—
109#14519762—28no—
110C4×Dic122—22no—
111C4×Dic122—22no—
112C4×Dic122—22no—
113C4×Dic122—22no—
114C4×Dic122C2314yes—
115C4×Dic122C2314yes—
116C4×Dic122C2314yes—
117C4×Dic122C2314yes—
118#14519742—28no—
119C4×D244—22no—
120C4×D244—22no—
121C4×D244C2314yes—
122C4×D244C2314yes—
123#14519739—28no—
124C2×C4⋊Dic61—21no—
125C2×C4⋊Dic61C2311yescharacteristic
126C2×C4⋊Dic61C2311yescharacteristic
127C2×C4⋊Dic61C2311yescharacteristic
128C2×C4⋊Dic61C2311yescharacteristic
129C2×#11758196—21no—
130C2×#11758196—21no—
131C2×#11758196—21no—
132C2×#11758196—21no—
133C2×#11758196—21no—
134C2×#11758196—21no—
135C2×#11758196—21no—
136C2×#11758196—21no—
137C2×#11758198—21no—
138C2×#11758198—21no—
139C2×#11758198—21no—
140C2×#11758198—21no—
141C2×#11758198—21no—
142C2×#11758198—21no—
143C2×C4×Dic61—21no—
144C2×C4×Dic61—21no—
145C2×C4×Dic61—21no—
146C2×C4×Dic61—21no—
147#14519711C2314yes—
148#14519709C2314yes—
149#14519709C2314yes—
150#14519702C2314yes—
151#14519702C2314yes—
152#14519702C2314yes—
153#14519702C2314yes—
154#14519699C2314yes—
155#14519699C2314yes—
156#14519699C2314yes—
157#14519699C2314yes—
158#14519699C2314yes—
159#14519699C2314yes—
160C22×Q8×C61D411yescharacteristic
161C22×C8×C61C2311yescharacteristic
162C22×C8×C61C2311yescharacteristic
163C22×C8×C61C2311yescharacteristic
164C22×C8×C61C2311yescharacteristic
165C4×Q8×C61D414yes—
166C4×Q8×C61C2314yes—
167C2×C4⋊C4×C61D411yescharacteristic
168C2×C4⋊C4×C61D411yescharacteristic
169C2×C4⋊C4×C61D411yescharacteristic
170C2×C42×C61C2311yescharacteristic
171C2×C42×C61C2311yescharacteristic
172C2×C42×C61C2311yescharacteristic
173C4⋊C8×C61C2314yes—
174C4⋊C8×C61C2314yes—
175C4⋊C8×C61C2314yes—
176#97×C61C2314yes—
177#97×C61C2314yes—
178C4×C8×C61C2314yes—
179C23×D61—21no—
180C23×D61—21no—
181C2×Q8×C61—42no—
182C2×Q8×C61C2×D414yes—
183C22×C4×C61C2×D411yescharacteristic
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2×D411yescharacteristic
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61C2×D411yescharacteristic
189C22×C4×C61C2411yescharacteristic
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61—21no—
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C2×D244—22no—
197C2×D244—22no—
198C2×D244—22no—
199C2×D244—22no—
200C2×D244—24no—
201C2×D244—21no—
202C2×D244—21no—
203C2×D244—24no—
204C2×D244—44no—
205C2×D244—82no—
206C2×D244C2412yes—
207C2×D244C2412yes—
208C2×C4×D61—24no—
209C2×C4×D61—24no—
210C2×C4×D61—82no—
211C2×C4×D61—82no—
212C2×Dic122—21no—
213C2×Dic122—22no—
214C2×Dic122—22no—
215C2×Dic122—22no—
216C2×Dic122—24no—
217C2×Dic122—21no—
218C2×Dic122—44no—
219C2×Dic122#4114yes—
220C2×Dic122C2412yes—
221C2×Dic122C2412yes—
222C2×C8×C61—22no—
223C2×C8×C61—22no—
224C2×C8×C61—22no—
225C2×C8×C61—22no—
226C2×C8×C61C2412yes—
227C2×C8×C61C2412yes—
228C2×C8×C61C2412yes—
229C2×C8×C61C2412yes—
230C4⋊C4×C61C2×D414yes—
231C4⋊C4×C61C2×D414yes—
232C4⋊C4×C61C2×D414yes—
233C42×C61C2×D412yes—
234C42×C61C2×D412yes—
235C42×C61C2×D412yes—
236C42×C61C2412yes—
237C42×C61C2412yes—
238C42×C61C2412yes—
239#11758198—24no—
240#11758198—24no—
241#11758198—24no—
242#11758198—24no—
243#11758198—24no—
244#11758198—24no—
245C4⋊Dic61—24no—
246C4⋊Dic61—21no—
247C4⋊Dic61—21no—
248C4⋊Dic61—21no—
249C4⋊Dic61—21no—
250C4⋊Dic61C2412yes—
251C4⋊Dic61C2412yes—
252C4⋊Dic61C2412yes—
253C4⋊Dic61C2412yes—
254#11758196—24no—
255#11758196—24no—
256#11758196—24no—
257#11758196—24no—
258#11758196—24no—
259#11758196—24no—
260#11758196—24no—
261#11758196—24no—
262C4×Dic61—24no—
263C4×Dic61—24no—
264C4×Dic61—24no—
265C4×Dic61—24no—
266Dic244—28no—
267#11758190—28no—
268#11758190—28no—
269C23×C61C22×D411yescharacteristic
270C22×D61—22no—
271C22×D61—22no—
272C22×D61—42no—
273C22×D61—42no—
274C22×D61—42no—
275C22×D61—42no—
276C22×D61—42no—
277C22×D61—42no—
278Q8×C61—44no—
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×C61C22×D412yes—
286C2×C4×C61C22×D412yes—
287C2×C4×C61C22×D412yes—
288C2×C4×C61C22×D412yes—
289C2×C4×C61C22×D412yes—
290C2×C4×C61C22×D412yes—
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4112yes—
293C2×C4×C612−1+412yes—
294C2×C4×C61C2511yescharacteristic
295C2×Dic61—24no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307D244—22no—
308D244—22no—
309D244—22no—
310D244—22no—
311D244—48no—
312D244—42no—
313D244—42no—
314D244—84no—
315C4×D61—84no—
316C4×D61—84no—
317Dic122—24no—
318Dic122—22no—
319Dic122—22no—
320Dic122—22no—
321Dic122—48no—
322Dic122—42no—
323Dic122C2×#4114yes—
324C8×C61—22no—
325C8×C61—22no—
326C8×C61—22no—
327C8×C61—22no—
328C2×#3371—611nomaximal, Sylow
329C22×C61#54812yes—
330C22×C61#57512yes—
331C22×C61#57712yes—
332C22×C61C23×D411yescharacteristic
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—84no—
340C2×D61—84no—
341C4×C61—22no—
342C4×C61—22no—
343C4×C61—22no—
344C4×C61—22no—
345C4×C61—22no—
346C4×C61—22no—
347C4×C61#54812yes—
348C4×C61C22×#4111yescharacteristic
349C4×C61C2×2−1+411yescharacteristic
350Dic61—24no—
351Dic61—42no—
352Dic61—42no—
353Dic61—42no—
354Dic61—42no—
355Dic61—42no—
356C2×#559—611no—
357C2×#557—611no—
358#3371—6116no—
359C2×#490—611no—
360C2×#489—611no—
361C2×#488—611no—
362C2×#479—611no—
363C2×#478—611no—
364C2×#476—611no—
365C2×#464—611no—
366C2×#464—611no—
367C2×#460—611no—
368C2×#446D6111yescharacteristic, complemented
369C2×#441—611no—
370C2×#440—611no—
371C2×C4×SD16—611no—
372C2×C61#337114yescomplemented
373C2×C61C2×#54811yescharacteristic
374C2×C61C2×#57511yescharacteristic
375C2×C61C2×#57711yescharacteristic
376D61—82no—
377D61—82no—
378C22×Q16—611no—
379C22×SD16—611no—
380C22×SD16—611no—
381#559—618no—
382#559—1224no—
383#557—618no—
384#557—1224no—
385C2×C4⋊Q8—611no—
386C2×C4⋊Q8—1221no—
387C2×#127—611no—
388C2×#125—611no—
389C2×#125—611no—
390C2×#125—1221no—
391C2×#125—1221no—
392C2×#124—611no—
393C2×#124—611no—
394C2×#124—1221no—
395C2×#123—1221no—
396C2×#123—1221no—
397C2×C4×Q8—611no—
398C2×C4×Q8—611no—
399C2×C4×Q8—611no—
400C2×C4×Q8—611no—
401C2×C4×Q8—1221no—
402C2×C4×Q8C2×D6111yescharacteristic
403C2×C4×D4—611no—
404C2×C4×D4—611no—
405C2×C4×D4—1221no—
406#490—618no—
407#489—618no—
408#488—618no—
409#479—618no—
410#478—618no—
411#476—618no—
412#464—618no—
413#464—618no—
414#460—618no—
415#446C2×D6118yescomplemented
416#441—618no—
417#440—618no—
418C4×SD16—618no—
419C2×#107—611no—
420C2×#106—611no—
421C2×#106—611no—
422C2×C4⋊C8C2×D6111yescharacteristic
423C2×C4⋊C8C2×D6111yescharacteristic
424C2×C4⋊C8C2×D6111yescharacteristic
425C2×#103—611no—
426C2×#103—611no—
427C2×#103—611no—
428C2×#103—611no—
429C2×#102—611no—
430C2×#102—611no—
431C2×#102—611no—
432C2×#102—611no—
433C2×#102—611no—
434C2×#102—611no—
435C2×#97C2×D6111yescharacteristic
436C2×#97C2×D6111yescharacteristic
437C2×C4×C8C2×D6111yescharacteristic
438C61C2×#337111yescharacteristic, complemented, Sylow
439C22×Q8—611no—
440C22×Q8—611no—
441C22×Q8—1221no—
442C22×Q8D24411yescharacteristic
443C22×D4—611no—
444C22×D4—611no—
445C22×D4—1221no—
446C22×D4—1221no—
447C23×C4—1221no—
448C23×C4—1221no—
449C2×Q16—614no—
450C2×Q16—1224no—
451C2×SD16—614no—
452C2×SD16—614no—
453C2×SD16—1224no—
454C2×SD16—1224no—
455C22×C8C22×D6111yescharacteristic
456C22×C8C22×D6111yescharacteristic
457C22×C8C22×D6111yescharacteristic
458C22×C8C22×D6111yescharacteristic
459C4⋊Q8—614no—
460C4⋊Q8—1228no—
461C4⋊Q8—1222no—
462#127—614no—
463#127—1222no—
464#125—614no—
465#125—614no—
466#125—1228no—
467#125—1228no—
468#125—1222no—
469#125—1222no—
470#124—614no—
471#124—614no—
472#124—1228no—
473#124—1222no—
474#124—1222no—
475#123—1228no—
476#123—1228no—
477C4×Q8—614no—
478C4×Q8—614no—
479C4×Q8—614no—
480C4×Q8—614no—
481C4×Q8—1228no—
482C4×Q8—1222no—
483C4×Q8—1222no—
484C4×Q8—1222no—
485C4×Q8—1222no—
486C4×Q8D24414yes—
487C4×Q8C22×D6114yes—
488C4×D4—614no—
489C4×D4—614no—
490C4×D4—1228no—
491C4×D4—1222no—
492C4×D4—1222no—
493C2×C4⋊C4—611no—
494C2×C4⋊C4—611no—
495C2×C4⋊C4—611no—
496C2×C4⋊C4—611no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4—1221no—
500C2×C4⋊C4—1221no—
501C2×C4⋊C4—1221no—
502C2×C4⋊C4—1221no—
503C2×C4⋊C4—1221no—
504C2×C4⋊C4—1221no—
505C2×C4⋊C4—1221no—
506C2×C4⋊C4D24411yescharacteristic
507C2×C4⋊C4D24411yescharacteristic
508C2×C4⋊C4D24411yescharacteristic
509C2×C22⋊C4—1221no—
510C2×C22⋊C4—1221no—
511C2×C22⋊C4—1221no—
512C2×C22⋊C4—1221no—
513C2×C22⋊C4—1221no—
514C2×C22⋊C4—1221no—
515C2×C42—1221no—
516C2×C42—1221no—
517C2×C42—1221no—
518C2×C42—1221no—
519C2×C42C22×D6111yescharacteristic
520C2×C42C22×D6111yescharacteristic
521C2×C42C22×D6111yescharacteristic
522#107—614no—
523#106—614no—
524#106—614no—
525C4⋊C8C22×D6114yes—
526C4⋊C8C22×D6114yes—
527C4⋊C8C22×D6114yes—
528#103—614no—
529#103—614no—
530#103—614no—
531#103—614no—
532#102—614no—
533#102—614no—
534#102—614no—
535#102—614no—
536#102—614no—
537#102—614no—
538#97C22×D6114yes—
539#97C22×D6114yes—
540C4×C8C22×D6114yes—
541C24—1221no—
542C24—1221no—
543C2×Q8—42no—
544C2×Q8—614no—
545C2×Q8—612no—
546C2×Q8—612no—
547C2×Q8—1221no—
548C2×Q8—1221no—
549C2×Q8—1224no—
550C2×Q8—1222no—
551C2×Q8—1222no—
552C2×Q8—1222no—
553C2×Q8—2444no—
554C2×Q8C2×D24414yes—
555C2×D4—612no—
556C2×D4—612no—
557C2×D4—1224no—
558C2×D4—1224no—
559C2×D4—1221no—
560C2×D4—1221no—
561C2×D4—1222no—
562C2×D4—1222no—
563C2×D4—1222no—
564C2×D4—1222no—
565C2×D4—4882no—
566C2×D4—2444no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1224no—
574C22×C4—1224no—
575C22×C4—4882no—
576C22×C4—4882no—
577C22×C4C2×D24411yescharacteristic
578C22×C4C2×D24411yescharacteristic
579C22×C4C2×D24411yescharacteristic
580C22×C4C2×D24411yescharacteristic
581C22×C4C2×D24411yescharacteristic
582C22×C4C2×D24411yescharacteristic
583C22×C4C23×D6111yescharacteristic
584Q16—1228no—
585SD16—1228no—
586SD16—1228no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8C23×D6112yes—
592C2×C8C23×D6112yes—
593C2×C8C23×D6112yes—
594C2×C8C23×D6112yes—
595C4⋊C4—612no—
596C4⋊C4—612no—
597C4⋊C4—612no—
598C4⋊C4—612no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C4⋊C4—1224no—
604C4⋊C4—1224no—
605C4⋊C4—1224no—
606C4⋊C4—1224no—
607C4⋊C4—1224no—
608C4⋊C4—1224no—
609C4⋊C4—1224no—
610C4⋊C4—1224no—
611C4⋊C4—1224no—
612C4⋊C4C2×D24414yes—
613C4⋊C4C2×D24414yes—
614C4⋊C4C2×D24414yes—
615C22⋊C4—1224no—
616C22⋊C4—1224no—
617C22⋊C4—1224no—
618C22⋊C4—1224no—
619C22⋊C4—1224no—
620C22⋊C4—1224no—
621C42—1224no—
622C42—1224no—
623C42—1224no—
624C42—1224no—
625C42C2×D24412yes—
626C42C2×D24412yes—
627C42C2×D24412yes—
628C42C23×D6112yes—
629C42C23×D6112yes—
630C42C23×D6112yes—
631C23—1222no—
632C23—1222no—
633C23—2442no—
634C23—2442no—
635C23—2442no—
636C23—2442no—
637C23—2442no—
638C23—2442no—
639C23C22×D24411yescharacteristic
640Q8—44no—
641Q8—614no—
642Q8—1222no—
643Q8—1224no—
644Q8—1222no—
645Q8—1222no—
646Q8—2448no—
647Q8—2442no—
648D4—1222no—
649D4—1222no—
650D4—1222no—
651D4—1222no—
652D4—4884no—
653D4—2448no—
654D4—2442no—
655D4—2442no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—1222no—
663C2×C4—1224no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—4884no—
670C2×C4—4884no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4C22×D24412yes—
677C2×C4C22×D24412yes—
678C2×C4C22×D24412yes—
679C2×C4C22×D24412yes—
680C2×C4C22×D24412yes—
681C2×C4C22×D24412yes—
682C2×C4C22×D24411yescharacteristic
683C2×C4#41×D6112yes—
684C2×C4#1451982512yes—
685C2×C4C24×D6111yescharacteristic
686C8—22no—
687C8—22no—
688C8—22no—
689C8—22no—
690C22—4884no—
691C22—4884no—
692C22—2442no—
693C22—2442no—
694C22—2442no—
695C22—2442no—
696C22—2442no—
697C22—2442no—
698C22#1684042412yes—
699C22#1684056212yes—
700C22#1684057412yes—
701C22C23×D24411yescharacteristic
702C4—22no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—1224no—
709C4—2442no—
710C4—2442no—
711C4—2442no—
712C4—2442no—
713C4—2442no—
714C4#1684042412yes—
715C4C2×#41×D6111yescharacteristic
716C4C2×#1451982511yescharacteristic
717C2—4882no—
718C2—4882no—
719C2#2145858914yesdirect product factor
720C2C2×#1684042411yescharacteristic
721C2C2×#1684056211yescharacteristic
722C2C2×#1684057411yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#446C2
socleC23×C61C22×D4
prime radicalC2×#14519774C22
hypercenterC2×#446D61
hypocenterC61C2×#3371
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
2. C2×#16840490C2semidirect
3. #21458589C2direct (N × H)
5. C2×#16840122C2semidirect
6. C2×#16840117C2semidirect
7. C2×#16840070C2semidirect
8. C2×#16840063C2semidirect
9. C2×#16840053C2semidirect
10. C2×#16839985C2semidirect
11. C2×#16839985C2semidirect
13. C2×#16839870C2semidirect
14. C2×#16839864C2semidirect
15. C2×C4×#11758190C2semidirect
16. C2×C61×#446C2semidirect
23. #16840490C22semidirect
45. #16840122C22semidirect
46. #16840117C22semidirect
47. #16840070C22semidirect
48. #16840063C22semidirect
49. #16840053C22semidirect
50. #16839985C22semidirect
51. #16839985C22semidirect
53. #16839870C22semidirect
54. #16839864C22semidirect
55. C4×#11758190C22semidirect
70. C61×#446C22semidirect
368. C2×#446D61semidirect
372. C2×C61#3371semidirect
415. #446C2×D61semidirect
438. C61C2×#3371semidirect
719. C2#21458589direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404972
C2×#168404902
#214585892
C2×#168401272
C2×#168401222
C2×#168401172
C2×#168400702
C2×#168400632
C2×#168400532
C2×#168399852
C2×#168399632
C2×#168398702
C2×#168398642
C2×C4×#117581902
C2×C61×#4462
C2×#337161