Finite Group Databasebeta

← #33102205

Subgroups — #33102205

Order 18688.

1162 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989272C211yesmaximal, characteristic
2C2×C8×C22⋊D73C211yesmaximal, characteristic
3#22612856C211yesmaximal, characteristic
4#22610894C211yesmaximal, characteristic, complemented
5#22610887C211yesmaximal, characteristic, complemented
6#22610354C211yesmaximal, characteristic, complemented
7#22610353C211yesmaximal, characteristic, complemented
8#22610242C211yesmaximal, characteristic, complemented
9#22610238C211yesmaximal, characteristic, complemented
10#22610024C211yesmaximal, characteristic, complemented
11#22610017C211yesmaximal, characteristic, complemented
12#22609945C211yesmaximal, characteristic, complemented
13#22609750C211yesmaximal, characteristic, complemented
14#22609646C211yesmaximal, characteristic, complemented
15C2×#340×C73C211yesmaximal, characteristic, complemented
16C22×C8×D73C2211yescharacteristic
17#17989272—24no—
18#17989272C418yescomplemented
19C2×#14556586—21no—
20C2×#14556582C2211yescharacteristic
21C2×#14556581—21no—
22C2×#14556574—21no—
23C2×#14556571C2211yescharacteristic
24C2×#14556570C2211yescharacteristic
25C2×#14556556C2211yescharacteristic
26C2×C4×C22⋊D73C2211yescharacteristic
27C2×#14556550—21no—
28C2×#14556549C2211yescharacteristic
29C2×#14556549C2211yescharacteristic
30C8×C22⋊D73—24no—
31C2×#14556520C2211yescharacteristic
32C2×#14556516C2211yescharacteristic
33C2×#14556516C2211yescharacteristic
34C2×#14556514C2211yescharacteristic
35C2×#14556514C2211yescharacteristic
36C2×C22⋊#10596831C2211yescharacteristic
37C2×#14556503C2211yescharacteristic
38C2×C8×Dic73C2211yescharacteristic
39#17988477—21no—
40#17988468—21no—
41#17988466—21no—
42#17988452C2211yescharacteristic
43#17988447C2211yescharacteristic
44#17988444C2211yescharacteristic
45C4⋊C4×Dic73C2211yescharacteristic
46C4×C22⋊Dic73—21no—
47#17988350C2211yescharacteristic
48#17988350C2211yescharacteristic
49#17988349C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988349C2211yescharacteristic
53#17988349C2211yescharacteristic
54#17988349C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C22×C4⋊C4×C73C2211yescharacteristic
57C22×C4⋊C4×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#340×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×Dic146C2311yescharacteristic
63C22×C22⋊D73D411yescharacteristic
64C22×C4×D73C2311yescharacteristic
65C22×#10596831C2311yescharacteristic
66C22×#10596831C2311yescharacteristic
67C2×C8×D73—22no—
68C2×C8×D73—22no—
69C2×C8×D73—41no—
70#14556586—28no—
71#14556582—22no—
72#14556582C2×C414yescomplemented
73#14556581—28no—
74#14556574—28no—
75#14556571—22no—
76#14556571C2×C414yescomplemented
77#14556570—22no—
78#14556570C2×C414yes—
79#14556556—22no—
80#14556556C2×C414yescomplemented
81C4×C22⋊D73C2×C414yes—
82C4×C22⋊D73D414yes—
83#14556550—28no—
84#14556549—22no—
85#14556549—22no—
86#14556549—41no—
87#14556549C2×C414yescomplemented
88C2×C4⋊Dic73—21no—
89C2×C4⋊Dic73—21no—
90C2×C4⋊Dic73C2311yescharacteristic
91C2×C4⋊Dic73C2311yescharacteristic
92C2×C4⋊Dic73C2311yescharacteristic
93C2×#11924007—21no—
94C2×#11924007—21no—
95C2×#11924007—21no—
96C2×#11924007D411yescharacteristic
97C2×C22⋊Dic73—21no—
98C2×C22⋊Dic73—21no—
99C2×C22⋊Dic73D411yescharacteristic
100C2×#11924005—21no—
101C2×#11924005—21no—
102C2×#11924005—21no—
103C2×#11924005—21no—
104C2×#11924005D411yescharacteristic
105C2×C4×Dic73—21no—
106C2×C4×Dic73—21no—
107C2×C4×Dic73—21no—
108C2×C4×Dic73—21no—
109C2×C4×Dic73C2311yescharacteristic
110#14556520—22no—
111#14556516—22no—
112#14556516—41no—
113#14556514—22no—
114#14556514—41no—
115C22⋊#10596831—22no—
116#14556503—22no—
117C8×Dic73—22no—
118#14556498—21no—
119#14556498—21no—
120#14556498—21no—
121#14556498—21no—
122#14556498—21no—
123C23×C4×C73—21no—
124C23×C4×C73—21no—
125C23×C4×C73C2311yescharacteristic
126C22×C8×C73—22no—
127C22×C8×C73—22no—
128C22×C8×C73—41no—
129C22×C8×C73C2311yescharacteristic
130C22×C8×C73C2311yescharacteristic
131C2×C4⋊C4×C73—22no—
132C2×C4⋊C4×C73—21no—
133C2×C4⋊C4×C73—22no—
134C2×C4⋊C4×C73—21no—
135C2×C4⋊C4×C73—41no—
136C2×C4⋊C4×C73C2×C414yes—
137C2×C4⋊C4×C73C2311yescharacteristic
138C2×C4⋊C4×C73C2311yescharacteristic
139C2×C4⋊C4×C73C2311yescharacteristic
140C2×C4⋊C4×C73C2311yescharacteristic
141C23×D73C2×D411yescharacteristic
142C2×Dic146—21no—
143C2×Dic146—21no—
144C2×Dic146—21no—
145C2×Dic146—21no—
146C2×Dic146—21no—
147C2×Dic146C22×C412yes—
148C2×C22⋊D73—22no—
149C2×C22⋊D73—22no—
150C2×C22⋊D73C22⋊C414yes—
151C22×Dic73—21no—
152C22×Dic73—21no—
153C22×Dic73—21no—
154C22×Dic73—21no—
155C22×Dic73C2×D411yescharacteristic
156C22×Dic73C2×D411yescharacteristic
157C22×Dic73C2×D411yescharacteristic
158C2×C4×D73—21no—
159C2×C4×D73—21no—
160C2×C4×D73—21no—
161C2×C4×D73—21no—
162C2×C4×D73C22×C412yes—
163C2×C4×D73C2×D412yes—
164C2×#10596831—21no—
165C2×#10596831—21no—
166C2×#10596831—21no—
167C2×#10596831—21no—
168C2×#10596831—21no—
169C2×#10596831—21no—
170C8×D73—44no—
171C4⋊Dic73—21no—
172C4⋊Dic73—24no—
173C4⋊Dic73—24no—
174C4⋊Dic73—21no—
175C4⋊Dic73—21no—
176C4⋊Dic73—21no—
177C4⋊Dic73—21no—
178C4⋊Dic73C22×C412yes—
179#11924007—24no—
180#11924007—24no—
181#11924007—24no—
182#11924007C22⋊C414yes—
183C22⋊Dic73—24no—
184C22⋊Dic73—42no—
185C22⋊Dic73C22⋊C414yes—
186#11924005—24no—
187#11924005—24no—
188#11924005—42no—
189#11924005—81no—
190#11924005C22⋊C414yes—
191C4×Dic73—24no—
192C4×Dic73—24no—
193C4×Dic73—42no—
194C4×Dic73—81no—
195C4×Dic73C22×C412yes—
196C4×Dic73C2×D412yes—
197C24×C73C2×D411yescharacteristic
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73—21no—
202C22×C4×C73—24no—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—21no—
207C22×C4×C73—42no—
208C22×C4×C73—42no—
209C22×C4×C73—42no—
210C22×C4×C73—42no—
211C22×C4×C73—81no—
212C22×C4×C73C22×C412yes—
213C22×C4×C73C2×D411yescharacteristic
214C22×C4×C73C2×D412yes—
215C22×C4×C73C2411yescharacteristic
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73—21no—
220C2×C8×C73—21no—
221C2×C8×C73—44no—
222C2×C8×C73#4112yes—
223C4⋊C4×C73—24no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—21no—
226C4⋊C4×C73—21no—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—42no—
230C4⋊C4×C73C22×C412yes—
231C4⋊C4×C73C22×C412yes—
232C4⋊C4×C73#4112yes—
233C23×C73—21no—
234C23×C73—21no—
235C23×C73—21no—
236C23×C73—21no—
237C23×C73C2×C22⋊C412yes—
238C23×C73#13512yes—
239C23×C73#13512yes—
240C23×C73C22×D411yescharacteristic
241C22×D73—21no—
242C22×D73—21no—
243C22×D73—21no—
244C22×D73—21no—
245C22×D73—21no—
246C22×D73—21no—
247C22×D73C2×C22⋊C412yes—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—41no—
258C2×C4×C73—41no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—48no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—84no—
268C2×C4×C73C2×C22⋊C412yes—
269C2×C4×C73C23×C411yescharacteristic
270C2×C4×C73C22×D411yescharacteristic
271C2×C4×C73C2×#4111yescharacteristic
272C2×C4×C73C2×#4111yescharacteristic
273C2×C4×C73H(5,𝔽2)11yescharacteristic
274C2×C4×C732−1+411yescharacteristic
275C22⋊D73—28no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—22no—
283C2×Dic73—22no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73C2×C22⋊C412yes—
295C2×Dic73C2×C22⋊C412yes—
296C2×Dic73C2×C22⋊C412yes—
297C4×D73—22no—
298C4×D73—22no—
299C4×D73—22no—
300C4×D73—22no—
301Dic146—22no—
302Dic146—22no—
303Dic146—41no—
304Dic146—41no—
305C8×C73—22no—
306C8×C73—41no—
307#10596831—41no—
308#10596831—41no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—22no—
313C22×C73—22no—
314C22×C73—22no—
315C22×C73#41614yes—
316C22×C73C22×C22⋊C411yescharacteristic
317C22×C73#54611yescharacteristic
318C22×C73#54711yescharacteristic
319C22×C73C2×#13511yescharacteristic
320C22×C73C2×#13511yescharacteristic
321C22×C73#57711yescharacteristic
322C22×C73#57811yescharacteristic
323C2×D73—22no—
324C2×D73—22no—
325C2×D73—22no—
326C2×D73—41no—
327C2×D73—41no—
328C2×D73—41no—
329C2×D73—41no—
330C4×C73—22no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73—81no—
335C4×C73C4×#4111yescharacteristic
336C4×C73#52011yescharacteristic
337C4×C73#54611yescharacteristic
338C4×C73#54711yescharacteristic
339Dic73—22no—
340Dic73—22no—
341Dic73—22no—
342Dic73—42no—
343Dic73—42no—
344Dic73—81no—
345Dic73—81no—
346#22486—731nomaximal, Sylow
347C2×C73—24no—
348C2×C73#233911yescharacteristic
349C2×C73C2×#41611yescharacteristic
350C2×C73#289811yescharacteristic
351C2×C73#329611yescharacteristic
352C2×C73#330011yescharacteristic
353C2×C73#333611yescharacteristic
354C2×C73#333711yescharacteristic
355D73—42no—
356C2×#552—731no—
357C2×C8×D4—731no—
358#2352—731no—
359#1991—731no—
360#1989—731no—
361#1892—731no—
362#1892—731no—
363#1873—731no—
364#1872—731no—
365#1825—731no—
366#1823—731no—
367#1805—731no—
368C4×#103—731no—
369#1735—731no—
370C2×#340D7311yescharacteristic, complemented
371C73#2248611yescharacteristic, complemented, Sylow
372C23×C8—731no—
373C23×C8C2×D7311yescharacteristic
374#552—738no—
375#552—1464no—
376C2×#126—1461no—
377C2×#125—731no—
378C2×#125—1461no—
379C2×#123—1461no—
380C2×C22⋊Q8—731no—
381C2×C22⋊Q8—731no—
382C2×C4×Q8—731no—
383C2×C4×D4—731no—
384C2×#117—731no—
385C2×#117—731no—
386C2×#117—1461no—
387C22×C4⋊C4C2×D7311yescharacteristic
388C22×C4⋊C4C2×D7311yescharacteristic
389C8×D4—1464no—
390C2×C4⋊C8—731no—
391C2×#103—731no—
392C2×#103—731no—
393C2×#103—731no—
394C2×#103—731no—
395C2×C22⋊C8—731no—
396C2×C22⋊C8—731no—
397C2×C4×C8—731no—
398#388—1461no—
399#387—1461no—
400#386—1461no—
401#382—731no—
402#380—731no—
403#380—731no—
404C4×C4⋊C4—731no—
405C4×C22⋊C4—1461no—
406#340—731no—
407#340—731no—
408#340—731no—
409#340—731no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#340C2×D7311yescharacteristic
415#340C2×D7311yescharacteristic
416#340C2×D7311yescharacteristic
417#340C2×D7311yescharacteristic
418C22×Q8—731no—
419C22×D4—731no—
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—731no—
423C23×C4C22×D7311yescharacteristic
424C22×C8—22no—
425C22×C8—22no—
426C22×C8—41no—
427C22×C8—2921no—
428C22×C8—731no—
429C22×C8—731no—
430C22×C8—1462no—
431C22×C8—1462no—
432C22×C8C22×D7311yescharacteristic
433C22×C8C22×D7311yescharacteristic
434#126—1468no—
435#125—734no—
436#125—1462no—
437#125—1468no—
438#123—1468no—
439C22⋊Q8—734no—
440C22⋊Q8—734no—
441C22⋊Q8—1462no—
442C22⋊Q8—1462no—
443C4×Q8—734no—
444C4×Q8—1462no—
445C4×D4—734no—
446C4×D4—734no—
447#117—2921no—
448#117—734no—
449#117—1462no—
450#117—1468no—
451#117—1462no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—41no—
457C2×C4⋊C4—731no—
458C2×C4⋊C4—731no—
459C2×C4⋊C4—731no—
460C2×C4⋊C4—731no—
461C2×C4⋊C4—1461no—
462C2×C4⋊C4—1461no—
463C2×C4⋊C4—1461no—
464C2×C4⋊C4—1461no—
465C2×C4⋊C4—1461no—
466C2×C4⋊C4C4×D7314yes—
467C2×C4⋊C4C22×D7311yescharacteristic
468C2×C4⋊C4C22×D7311yescharacteristic
469C2×C4⋊C4C22×D7311yescharacteristic
470C2×C4⋊C4C22×D7311yescharacteristic
471C2×C22⋊C4—731no—
472C2×C22⋊C4—731no—
473C2×C22⋊C4—1461no—
474C2×C22⋊C4—1461no—
475C2×C22⋊C4—1461no—
476C2×C22⋊C4—1461no—
477C2×C22⋊C4—1461no—
478C2×C22⋊C4—1461no—
479C2×C42—731no—
480C2×C42—1461no—
481C2×C42—1461no—
482C2×C42—1461no—
483C2×C42—1461no—
484C4⋊C8—1462no—
485#103—2921no—
486#103—2921no—
487#103—1462no—
488#103—1462no—
489C22⋊C8—1462no—
490C22⋊C8—1462no—
491C4×C8—1462no—
492#95—1461no—
493#95—1461no—
494#95—1461no—
495#95—1461no—
496#95—1461no—
497C24—731no—
498C24D4×D7311yescharacteristic
499C2×Q8—732no—
500C2×Q8—1461no—
501C2×Q8—1461no—
502C2×Q8—1461no—
503C2×Q8—1461no—
504C2×Q8—1461no—
505C2×D4—734no—
506C2×D4—1462no—
507C2×D4—1462no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—24no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—81no—
522C22×C4—731no—
523C22×C4—731no—
524C22×C4—731no—
525C22×C4—732no—
526C22×C4—732no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4—1461no—
530C22×C4—1461no—
531C22×C4—1461no—
532C22×C4—1461no—
533C22×C4—1461no—
534C22×C4—1461no—
535C22×C4C2×C4×D7312yes—
536C22×C4D4×D7311yescharacteristic
537C22×C4D4×D7312yes—
538C22×C4C23×D7311yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—44no—
545C2×C8—2924no—
546C2×C8—1461no—
547C2×C8—1461no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C2×C8—1461no—
552C2×C8#1192402812yes—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—734no—
561C4⋊C4—732no—
562C4⋊C4—1464no—
563C4⋊C4—1464no—
564C4⋊C4—1464no—
565C4⋊C4—1464no—
566C4⋊C4—1461no—
567C4⋊C4—1461no—
568C4⋊C4—1461no—
569C4⋊C4—1461no—
570C4⋊C4—1464no—
571C4⋊C4—1461no—
572C4⋊C4C2×C4×D7312yes—
573C4⋊C4C2×C4×D7312yes—
574C4⋊C4#1192402812yes—
575C22⋊C4—2922no—
576C22⋊C4—2922no—
577C22⋊C4—5841no—
578C22⋊C4—734no—
579C22⋊C4—734no—
580C22⋊C4—1464no—
581C22⋊C4—1464no—
582C22⋊C4—1464no—
583C42—2922no—
584C42—5841no—
585C42—732no—
586C42—732no—
587C42—1464no—
588C42—1464no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—732no—
594C23—1461no—
595C23—1461no—
596C23—1461no—
597C23—1461no—
598C23—1461no—
599C23—1461no—
600C23C22⋊C4×D7312yes—
601C23#1455661012yes—
602C23#1455661212yes—
603C23C2×D4×D7311yescharacteristic
604Q8—2921no—
605Q8—2921no—
606Q8—1462no—
607Q8—1462no—
608D4—1468no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—41no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—732no—
640C2×C4—732no—
641C2×C4—732no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1461no—
650C2×C4—1462no—
651C2×C4—1462no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4C22⋊C4×D7312yes—
655C2×C4C22×C4×D7311yescharacteristic
656C2×C4C2×D4×D7311yescharacteristic
657C2×C4C2×#1192402811yescharacteristic
658C2×C4C2×#1192402811yescharacteristic
659C2×C4#1455663611yescharacteristic
660C2×C4#1455663911yescharacteristic
661C8—22no—
662C8—41no—
663C8—2921no—
664C8—2921no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—2921no—
672C22—2921no—
673C22—2921no—
674C22—2921no—
675C22—1462no—
676C22—1462no—
677C22—1462no—
678C22#1798858014yes—
679C22C2×C22⋊C4×D7311yescharacteristic
680C22#1798922711yescharacteristic
681C22#1798923811yescharacteristic
682C22C2×#1455661011yescharacteristic
683C22C2×#1455661211yescharacteristic
684C22#1798939311yescharacteristic
685C22#1798940011yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—2922no—
692C4—2922no—
693C4—5841no—
694C4—5841no—
695C4—1462no—
696C4—1462no—
697C4—1462no—
698C4C4×#1192402811yescharacteristic
699C4#1798906811yescharacteristic
700C4#1798922711yescharacteristic
701C4#1798923811yescharacteristic
702C2—24no—
703C2—2922no—
704C2#2261275811yescharacteristic
705C2C2×#1798858011yescharacteristic
706C2#2261845911yescharacteristic
707C2#2262176211yescharacteristic
708C2#2262181411yescharacteristic
709C2#2262229511yescharacteristic
710C2#2262230611yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#340×C73C2
socleC23×C73C22×D4
prime radicalC22×C22⋊D73D4
cosocleC22×C4×C73C24
hypercenterC2×#340D73
hypocenterC73#22486
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
4. #22610894C2semidirect
5. #22610887C2semidirect
6. #22610354C2semidirect
7. #22610353C2semidirect
8. #22610242C2semidirect
9. #22610238C2semidirect
10. #22610024C2semidirect
11. #22610017C2semidirect
12. #22609945C2semidirect
13. #22609750C2semidirect
14. #22609646C2semidirect
15. C2×#340×C73C2semidirect
18. #17989272C4semidirect
72. #14556582C2×C4semidirect
76. #14556571C2×C4semidirect
80. #14556556C2×C4semidirect
87. #14556549C2×C4semidirect
370. C2×#340D73semidirect
371. C73#22486semidirect

Maximal subgroups

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

subgroupindex
C2×#179892722
C2×C8×C22⋊D732
#226128562
#226108942
#226108872
#226103542
#226103532
#226102422
#226102382
#226100242
#226100172
#226099452
#226097502
#226096462
C2×#340×C732
#2248673