Finite Group Databasebeta

← C2×#21457272 #30552969

Subgroups — C2×#21457272 #30552969

Order 15616.

1754 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840375C211yesmaximal, characteristic
2C2×#16840370C211yesmaximal, characteristic
3#21457272C2116yesmaximal, direct product factor
4C2×#16840072C211yesmaximal, characteristic, complemented
5C2×#16840068C211yesmaximal, characteristic, complemented
6C2×#16840066C211yesmaximal, characteristic, complemented
7C2×#16840021C211yesmaximal, characteristic
8C2×#16840019C211yesmaximal, characteristic
9C2×#16840004C211yesmaximal, characteristic
10C2×#16840002C211yesmaximal, characteristic
11C2×#16839973C211yesmaximal, characteristic, complemented
12C2×#16839972C211yesmaximal, characteristic, complemented
13C2×#16839971C211yesmaximal, characteristic, complemented
14C2×#16839971C211yesmaximal, characteristic, complemented
15C2×#16839787C211yesmaximal, characteristic
16C2×C61×#479C211yesmaximal, characteristic, complemented
17C22×Dic244C2211yescharacteristic
18C22×Dic244C2211yescharacteristic
19C22×#11758202C2211yescharacteristic
20C22×#11758202C2211yescharacteristic
21C22×#11758189C2211yescharacteristic
22C22×C8×D61C2211yescharacteristic
23#16840375—24no—
24#16840375C2218yes—
25#16840370—24no—
26#16840370C2218yes—
27C2×#14519777C2211yescharacteristic
28C2×#14519775C2211yescharacteristic
29C2×#14519772—21no—
30C2×#14519772—21no—
31C2×#14519772—21no—
32C2×#14519771—21no—
33C2×#14519769—21no—
34C2×#14519768—21no—
35C2×#14519768—21no—
36C2×#14519768C2211yescharacteristic
37C2×#14519767—21no—
38C2×#14519757C2211yescharacteristic
39C2×#14519757C2211yescharacteristic
40C2×#14519757C2211yescharacteristic
41C2×#14519753C2211yescharacteristic
42C2×C4×Dic122C2211yescharacteristic
43C2×#14519742C2211yescharacteristic
44C2×#14519742C2211yescharacteristic
45C2×#14519734C2211yescharacteristic
46#16840072C2218yescomplemented
47#16840068C2218yescomplemented
48#16840066C2218yescomplemented
49#16840021C2218yes—
50#16840019C2218yes—
51#16840004C2218yes—
52#16840002C2218yes—
53#16839973C2218yescomplemented
54#16839972C2218yescomplemented
55#16839971C2218yescomplemented
56#16839971C2218yescomplemented
57C2×#14519710C2211yescharacteristic
58C2×#14519708C2211yescharacteristic
59#16839787C2218yes—
60C2×C4⋊#92418C2211yescharacteristic
61C2×#14519706C2211yescharacteristic
62C2×#14519706C2211yescharacteristic
63C2×#14519702C2211yescharacteristic
64C2×#14519702C2211yescharacteristic
65C2×#14519700C2211yescharacteristic
66C2×#14519700C2211yescharacteristic
67C2×#14519700C2211yescharacteristic
68C2×#14519700C2211yescharacteristic
69C2×#125×C61C2211yescharacteristic
70C2×C4×Q8×C61C2211yescharacteristic
71C61×#479C2218yescomplemented
72C2×#107×C61C2211yescharacteristic
73C2×#106×C61C2211yescharacteristic
74C2×C4⋊C8×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×#103×C61C2211yescharacteristic
77C22×Dic122C2311yescharacteristic
78C22×Dic122C2311yescharacteristic
79C22×Dic122C2311yescharacteristic
80C22×C4×D61C2311yescharacteristic
81C2×Dic244—42no—
82C2×Dic244—42no—
83C2×Dic244C2314yes—
84C2×Dic244C2314yes—
85C2×#11758202—42no—
86C2×#11758202—42no—
87C2×#11758202C2314yes—
88C2×#11758202C2314yes—
89C2×#11758189—42no—
90C2×#11758189C2314yes—
91C22×#92418C2311yescharacteristic
92C22×#92418C2311yescharacteristic
93C2×C8×D61—42no—
94C2×C8×D61C2314yes—
95#14519777—22no—
96#14519777C2314yes—
97#14519775—22no—
98#14519775C2314yes—
99#14519772—28no—
100#14519772—28no—
101#14519772—28no—
102#14519771—28no—
103#14519769—28no—
104#14519768—28no—
105#14519768—28no—
106#14519768—22no—
107#14519768C2314yes—
108#14519767—28no—
109#14519757—22no—
110#14519757—22no—
111#14519757—22no—
112#14519757C2314yes—
113#14519757C2314yes—
114#14519757C2314yes—
115#14519753—22no—
116#14519753C2314yes—
117C4×Dic122—22no—
118C4×Dic122C2314yes—
119#14519742—22no—
120#14519742—22no—
121#14519742C2314yes—
122#14519742C2314yes—
123#14519734D414yes—
124#14519734C2314yes—
125C2×C4⋊Dic61—21no—
126C2×C4⋊Dic61—21no—
127C2×C4⋊Dic61—21no—
128C2×C4⋊Dic61—21no—
129C2×C4⋊Dic61—21no—
130C2×C4⋊Dic61—21no—
131C2×C4⋊Dic61C2311yescharacteristic
132C2×#11758196—21no—
133C2×#11758196—21no—
134C2×#11758196—21no—
135C2×#11758196—21no—
136C2×#11758196—21no—
137C2×#11758196—21no—
138C2×#11758196—21no—
139C2×#11758196D411yescharacteristic
140C2×#11758196D411yescharacteristic
141C2×#11758198—21no—
142C2×#11758198—21no—
143C2×#11758198—21no—
144C2×#11758198—21no—
145C2×#11758198D411yescharacteristic
146C2×#11758198D411yescharacteristic
147C2×C4×Dic61—21no—
148C2×C4×Dic61—21no—
149C2×C4×Dic61—21no—
150C2×C4×Dic61C2311yescharacteristic
151#14519710C2314yes—
152#14519708C2314yes—
153C4⋊#92418C2314yes—
154#14519706C2314yes—
155#14519706C2314yes—
156#14519702C2314yes—
157#14519702C2314yes—
158#14519700C2314yes—
159#14519700C2314yes—
160#14519700C2314yes—
161#14519700C2314yes—
162C22×Q8×C61C2311yescharacteristic
163C22×C8×C61C2311yescharacteristic
164C22×C8×C61C2311yescharacteristic
165#125×C61—22no—
166#125×C61C2314yes—
167C4×Q8×C61—22no—
168C4×Q8×C61C2314yes—
169C2×C4⋊C4×C61—21no—
170C2×C4⋊C4×C61—21no—
171C2×C4⋊C4×C61—21no—
172C2×C4⋊C4×C61C2311yescharacteristic
173C2×C4⋊C4×C61C2311yescharacteristic
174C2×C4⋊C4×C61C2311yescharacteristic
175C2×C42×C61—21no—
176C2×C42×C61C2311yescharacteristic
177#107×C61C2314yes—
178#106×C61C2314yes—
179C4⋊C8×C61C2314yes—
180#103×C61C2314yes—
181#103×C61C2314yes—
182C23×D61C2×D411yescharacteristic
183C2×Q8×C61—21no—
184C2×Q8×C61—22no—
185C2×Q8×C61—22no—
186C2×Q8×C61C2412yes—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61C2×D411yescharacteristic
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2411yescharacteristic
194C22×Dic61—21no—
195C22×Dic61—21no—
196C22×Dic61—21no—
197C22×Dic61—21no—
198C22×Dic61C2×D411yescharacteristic
199C22×Dic61C2×D411yescharacteristic
200C22×Dic61C2×D411yescharacteristic
201C2×C4×D61—22no—
202C2×C4×D61—22no—
203C2×C4×D61C2×D412yes—
204C2×C4×D61C2412yes—
205C2×Dic122—22no—
206C2×Dic122—22no—
207C2×Dic122—22no—
208C2×Dic122—22no—
209C2×Dic122—22no—
210C2×Dic122—22no—
211C2×Dic122—21no—
212C2×Dic122—21no—
213C2×Dic122—21no—
214C2×Dic122C2412yes—
215C2×Dic122C2412yes—
216C2×Dic122C2412yes—
217C2×C8×C61—22no—
218C2×C8×C61—22no—
219C2×C8×C61C2412yes—
220C2×C8×C61C2412yes—
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×C61C2412yes—
228C4⋊C4×C61C2412yes—
229C4⋊C4×C61C2412yes—
230C42×C61—24no—
231C42×C61C2×D412yes—
232C42×C61C2412yes—
233#11758202—44no—
234#11758202—44no—
235#11758198—24no—
236#11758198—24no—
237#11758198—24no—
238#11758198—24no—
239#11758198C2×D414yes—
240#11758198C2×D414yes—
241C4⋊Dic61—24no—
242C4⋊Dic61—24no—
243C4⋊Dic61—21no—
244C4⋊Dic61—24no—
245C4⋊Dic61—24no—
246C4⋊Dic61—24no—
247C4⋊Dic61—24no—
248C4⋊Dic61C2412yes—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196—24no—
253#11758196—24no—
254#11758196—24no—
255#11758196—24no—
256#11758196C2×D414yes—
257#11758196C2×D414yes—
258C4×Dic61—24no—
259C4×Dic61—24no—
260C4×Dic61—24no—
261C4×Dic61C2×D412yes—
262C4×Dic61C2412yes—
263C2×#92418—22no—
264C2×#92418—22no—
265C2×#92418C2412yes—
266C2×#92418C2412yes—
267Dic244—44no—
268Dic244—44no—
269#11758189—44no—
270C8×D61—44no—
271C23×C61C22×D411yescharacteristic
272C22×D61—22no—
273C22×D61—22no—
274C22×D61—22no—
275C22×D61C22×D412yes—
276Q8×C61—22no—
277Q8×C61—22no—
278Q8×C61—42no—
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—42no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61—42no—
289C2×C4×C61C22×D412yes—
290C2×C4×C61C22×D412yes—
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61H(5,𝔽2)12yes—
293C2×C4×C612−1+412yes—
294C2×C4×C61C2511yescharacteristic
295C2×Dic61—22no—
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×Dic61C22×D412yes—
307C2×Dic61C22×D412yes—
308C2×Dic61C22×D412yes—
309C4×D61—24no—
310C4×D61—22no—
311C4×D61—22no—
312Dic122—22no—
313Dic122—22no—
314Dic122—22no—
315Dic122—22no—
316Dic122—22no—
317Dic122—22no—
318Dic122—42no—
319Dic122—42no—
320Dic122—42no—
321C8×C61—22no—
322C8×C61—22no—
323#92418—22no—
324#92418—22no—
325C2×#3261—611nomaximal, Sylow
326C22×C61#53712yes—
327C22×C61#57812yes—
328C22×C61#57812yes—
329C22×C61C23×D411yescharacteristic
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—44no—
334C4×C61—22no—
335C4×C61—22no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61—42no—
340C4×C61#53712yes—
341C4×C61C2×H(5,𝔽2)11yescharacteristic
342C4×C61C2×2−1+411yescharacteristic
343Dic61—22no—
344Dic61—22no—
345Dic61—22no—
346Dic61—42no—
347Dic61—42no—
348Dic61—42no—
349Dic61—42no—
350C2×#541—611no—
351C2×#541—611no—
352#3261—6116no—
353C2×#479—611no—
354C2×#479—611no—
355C2×#479—611no—
356C2×#479D6111yescharacteristic, complemented
357C2×#470—611no—
358C2×#470—611no—
359C2×#467—611no—
360C2×#467—611no—
361C2×#462—611no—
362C2×#462—611no—
363C2×#462—611no—
364C2×#462—611no—
365C2×#424—611no—
366C2×C61#326114yescomplemented
367C2×C61C2×#53711yescharacteristic
368C2×C61C2×#57811yescharacteristic
369C2×C61C2×#57811yescharacteristic
370D61—42no—
371C22×Q16—611no—
372C22×Q16—611no—
373C22×Q16—611no—
374C22×Q16—611no—
375C22×M16—611no—
376C23×C8—611no—
377#541—618no—
378#541—618no—
379#541—1224no—
380#541—1224no—
381C2×C4⋊Q8—611no—
382C2×C4⋊Q8—611no—
383C2×#126—1221no—
384C2×#126—1221no—
385C2×#126—1221no—
386C2×#126—1221no—
387C2×#125—611no—
388C2×#125—1221no—
389C2×#125—1221no—
390C2×#125—1221no—
391C2×#125—1221no—
392C2×#125C2×D6111yescharacteristic
393C2×C22⋊Q8—611no—
394C2×C22⋊Q8—611no—
395C2×C22⋊Q8—611no—
396C2×C22⋊Q8—611no—
397C2×C4×Q8—611no—
398C2×C4×Q8—611no—
399C2×C4×Q8—611no—
400C2×C4×Q8C2×D6111yescharacteristic
401C2×#117—611no—
402#479—618no—
403#479—618no—
404#479—618no—
405#479C2×D6118yescomplemented
406#470—618no—
407#470—618no—
408#467—618no—
409#467—618no—
410#462—618no—
411#462—618no—
412#462—618no—
413#462—618no—
414C2×#107—611no—
415C2×#107C2×D6111yescharacteristic
416C2×#106—611no—
417C2×#106C2×D6111yescharacteristic
418#424—618no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×C4⋊C8—611no—
422C2×C4⋊C8C2×D6111yescharacteristic
423C2×#103—611no—
424C2×#103—611no—
425C2×#103—611no—
426C2×#103—611no—
427C2×#103—611no—
428C2×#103—611no—
429C2×#103C2×D6111yescharacteristic
430C2×#103C2×D6111yescharacteristic
431C61C2×#326111yescharacteristic, complemented, Sylow
432C22×Q8—611no—
433C22×Q8—611no—
434C22×Q8—611no—
435C22×Q8C22×D6111yescharacteristic
436C23×C4—611no—
437C2×Q16—614no—
438C2×Q16—614no—
439C2×Q16—614no—
440C2×Q16—614no—
441C2×Q16—2442no—
442C2×Q16—2442no—
443C2×Q16—2442no—
444C2×Q16—2442no—
445C2×M16—614no—
446C2×M16—2442no—
447C22×C8—611no—
448C22×C8—611no—
449C22×C8—614no—
450C22×C8—2442no—
451C22×C8C22×D6111yescharacteristic
452C22×C8C22×D6111yescharacteristic
453C4⋊Q8—614no—
454C4⋊Q8—614no—
455C4⋊Q8—1222no—
456C4⋊Q8—1222no—
457#126—1228no—
458#126—1228no—
459#126—1228no—
460#126—1228no—
461#125—22no—
462#125—614no—
463#125—1228no—
464#125—1222no—
465#125—1228no—
466#125—1228no—
467#125—1228no—
468#125C22×D6114yes—
469C22⋊Q8—614no—
470C22⋊Q8—614no—
471C22⋊Q8—614no—
472C22⋊Q8—614no—
473C22⋊Q8—1222no—
474C22⋊Q8—1222no—
475C22⋊Q8—1222no—
476C22⋊Q8—1222no—
477C4×Q8—22no—
478C4×Q8—614no—
479C4×Q8—614no—
480C4×Q8—614no—
481C4×Q8—1222no—
482C4×Q8—1222no—
483C4×Q8—1222no—
484C4×Q8C22×D6114yes—
485#117—614no—
486#117—614no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—611no—
491C2×C4⋊C4—611no—
492C2×C4⋊C4—611no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4—1221no—
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⋊C4C22×D6111yescharacteristic
507C2×C4⋊C4C22×D6111yescharacteristic
508C2×C4⋊C4C22×D6111yescharacteristic
509C2×C22⋊C4—611no—
510C2×C22⋊C4—611no—
511C2×C22⋊C4—1221no—
512C2×C22⋊C4—1221no—
513C2×C22⋊C4—1221no—
514C2×C22⋊C4—1221no—
515C2×C42—21no—
516C2×C42—611no—
517C2×C42—1221no—
518C2×C42—1221no—
519C2×C42—1221no—
520C2×C42C22×D6111yescharacteristic
521#107—614no—
522#107C22×D6114yes—
523#106—614no—
524#106C22×D6114yes—
525C4⋊C8—614no—
526C4⋊C8—614no—
527C4⋊C8—614no—
528C4⋊C8C22×D6114yes—
529#103—614no—
530#103—614no—
531#103—614no—
532#103—614no—
533#103—614no—
534#103—614no—
535#103C22×D6114yes—
536#103C22×D6114yes—
537C24—611no—
538C2×Q8—21no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—612no—
542C2×Q8—612no—
543C2×Q8—612no—
544C2×Q8—1221no—
545C2×Q8—1221no—
546C2×Q8—1221no—
547C2×Q8—1222no—
548C2×Q8—1222no—
549C2×Q8—1222no—
550C2×Q8—1222no—
551C2×Q8—1222no—
552C2×Q8—1222no—
553C2×Q8C23×D6112yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—612no—
562C22×C4—612no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4D4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4C23×D6111yescharacteristic
572Q16—2444no—
573Q16—2444no—
574Q16—2444no—
575Q16—2444no—
576M16—2444no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—612no—
580C2×C8—612no—
581C2×C8—1222no—
582C2×C8—1222no—
583C2×C8—2444no—
584C2×C8C23×D6112yes—
585C2×C8C23×D6112yes—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—614no—
593C4⋊C4—614no—
594C4⋊C4—612no—
595C4⋊C4—1224no—
596C4⋊C4—1224no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1224no—
600C4⋊C4—1224no—
601C4⋊C4—1224no—
602C4⋊C4—1224no—
603C4⋊C4—1224no—
604C4⋊C4—1224no—
605C4⋊C4—1221no—
606C4⋊C4—1224no—
607C4⋊C4—1224no—
608C4⋊C4—1224no—
609C4⋊C4C23×D6112yes—
610C4⋊C4C23×D6112yes—
611C4⋊C4C23×D6112yes—
612C22⋊C4—614no—
613C22⋊C4—614no—
614C22⋊C4—1224no—
615C22⋊C4—1224no—
616C22⋊C4—1224no—
617C22⋊C4—1224no—
618C42—24no—
619C42—612no—
620C42—612no—
621C42—1224no—
622C42—1224no—
623C42—1224no—
624C42D4×D6112yes—
625C42C23×D6112yes—
626C23—612no—
627C23—1222no—
628C23—1222no—
629C23—1222no—
630C23C2×D4×D6111yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—42no—
634Q8—1222no—
635Q8—1222no—
636Q8—1222no—
637Q8—1222no—
638Q8—1222no—
639Q8—1222no—
640Q8—2442no—
641Q8—2442no—
642Q8—2442no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—612no—
654C2×C4—612no—
655C2×C4—612no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1224no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4C2×D4×D6112yes—
671C2×C4C2×D4×D6112yes—
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4#1451982312yes—
674C2×C4#1451982512yes—
675C2×C4C24×D6111yescharacteristic
676C8—22no—
677C8—22no—
678C8—1222no—
679C8—1222no—
680C22—1222no—
681C22—1222no—
682C22—1222no—
683C22—2444no—
684C22#1684034212yes—
685C22#1684057612yes—
686C22#1684057812yes—
687C22C22×D4×D6111yescharacteristic
688C4—22no—
689C4—22no—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—1222no—
695C4—1222no—
696C4—1222no—
697C4—2442no—
698C4—2442no—
699C4—2442no—
700C4—2442no—
701C4#1684034212yes—
702C4C2×#1451982311yescharacteristic
703C4C2×#1451982511yescharacteristic
704C2—2442no—
705C2#2145727214yesdirect product factor
706C2C2×#1684034211yescharacteristic
707C2C2×#1684057611yescharacteristic
708C2C2×#1684057811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#479C2
socleC23×C61C22×D4
prime radicalC23×D61C2×D4
hypercenterC2×#479D61
hypocenterC61C2×#3261
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #21457272C2direct (N × H)
4. C2×#16840072C2semidirect
5. C2×#16840068C2semidirect
6. C2×#16840066C2semidirect
11. C2×#16839973C2semidirect
12. C2×#16839972C2semidirect
13. C2×#16839971C2semidirect
14. C2×#16839971C2semidirect
16. C2×C61×#479C2semidirect
46. #16840072C22semidirect
47. #16840068C22semidirect
48. #16840066C22semidirect
53. #16839973C22semidirect
54. #16839972C22semidirect
55. #16839971C22semidirect
56. #16839971C22semidirect
71. C61×#479C22semidirect
356. C2×#479D61semidirect
366. C2×C61#3261semidirect
405. #479C2×D61semidirect
431. C61C2×#3261semidirect
705. C2#21457272direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403752
C2×#168403702
#214572722
C2×#168400722
C2×#168400682
C2×#168400662
C2×#168400212
C2×#168400192
C2×#168400042
C2×#168400022
C2×#168399732
C2×#168399722
C2×#168399712
C2×#168397872
C2×C61×#4792
C2×#326161