Finite Group Databasebeta

← C2×#21437059 #29469236

Subgroups — C2×#21437059 #29469236

Order 15104.

1746 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838130C211yesmaximal, characteristic
2#21437059C2116yesmaximal, direct product factor
3C2×#16837812C211yesmaximal, characteristic
4C2×#16837808C211yesmaximal, characteristic
5C2×#16837801C211yesmaximal, characteristic
6C2×#16837709C211yesmaximal, characteristic
7C2×#16837709C211yesmaximal, characteristic
8C2×#16837706C211yesmaximal, characteristic
9C2×#16837706C211yesmaximal, characteristic
10C2×#16837697C211yesmaximal, characteristic
11C2×#16837694C211yesmaximal, characteristic
12C2×#16837533C211yesmaximal, characteristic
13C2×#16837507C211yesmaximal, characteristic
14C2×#16837507C211yesmaximal, characteristic
15C2×C4×#11745672C211yesmaximal, characteristic
16C2×C59×#557C211yesmaximal, characteristic
17C22×#11745672C2211yescharacteristic
18#16838130—24no—
19#16838130C2218yes—
20C2×#14273727C2211yescharacteristic
21C2×#14273725—21no—
22C2×#14273719C2211yescharacteristic
23C2×#14273719C2211yescharacteristic
24C2×#14273717—21no—
25C2×#14273717—21no—
26C2×C4×Dic118C2211yescharacteristic
27C2×C4×Dic118C2211yescharacteristic
28C2×C4×Dic118C2211yescharacteristic
29C2×#14273692—21no—
30#16837812C2218yes—
31#16837808C2218yes—
32#16837801C2218yes—
33#16837709C2218yes—
34#16837709C2218yes—
35#16837706C2218yes—
36#16837706C2218yes—
37#16837697C2218yes—
38#16837694C2218yes—
39#16837533C2218yes—
40#16837507C2218yes—
41#16837507C2218yes—
42C4×#11745672C2218yes—
43C2×#14273660C2211yescharacteristic
44C2×#14273660C2211yescharacteristic
45C2×#14273660C2211yescharacteristic
46C2×#14273660C2211yescharacteristic
47C2×#14273660C2211yescharacteristic
48C2×#14273658C2211yescharacteristic
49C2×#14273658C2211yescharacteristic
50C2×#14273658C2211yescharacteristic
51C2×#14273658C2211yescharacteristic
52C2×C4⋊(C59⋊C8)C2211yescharacteristic
53C2×C4⋊(C59⋊C8)C2211yescharacteristic
54C2×C4⋊(C59⋊C8)C2211yescharacteristic
55C2×#14273651C2211yescharacteristic
56C2×#14273651C2211yescharacteristic
57C2×#14273651C2211yescharacteristic
58C2×#14273650C2211yescharacteristic
59C2×#14273650C2211yescharacteristic
60C2×#14273650C2211yescharacteristic
61C2×#14273638C2211yescharacteristic
62C2×#14273638C2211yescharacteristic
63C2×C4×C59⋊C8C2211yescharacteristic
64C59×#557—24no—
65C59×#557C2218yes—
66C2×C4⋊Q8×C59—21no—
67C2×C4⋊Q8×C59C2211yescharacteristic
68C2×#125×C59—21no—
69C2×#125×C59—21no—
70C2×#125×C59C2211yescharacteristic
71C2×#125×C59C2211yescharacteristic
72C2×C4×Q8×C59—21no—
73C2×C4×Q8×C59C2211yescharacteristic
74C2×C4×Q8×C59C2211yescharacteristic
75C2×C4×Q8×C59C2211yescharacteristic
76C2×C4×Q8×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118C2311yescharacteristic
79C2×#11745672Q818yescomplemented
80C2×#11745672C2314yes—
81C22×C59⋊C8C2311yescharacteristic
82C22×C59⋊C8C2311yescharacteristic
83C22×C59⋊C8C2311yescharacteristic
84C22×C59⋊C8C2311yescharacteristic
85#14273727—22no—
86#14273727C2314yes—
87#14273725—28no—
88#14273719—22no—
89#14273719—22no—
90#14273719C2314yes—
91#14273719C2314yes—
92#14273717—28no—
93#14273717—28no—
94C4×Dic118—22no—
95C4×Dic118—22no—
96C4×Dic118—22no—
97C4×Dic118C2314yes—
98C4×Dic118C2314yes—
99C4×Dic118C2314yes—
100#14273692—28no—
101C2×C4⋊Dic59—21no—
102C2×C4⋊Dic59C2311yescharacteristic
103C2×C4⋊Dic59C2311yescharacteristic
104C2×C4⋊Dic59C2311yescharacteristic
105C2×Dic59⋊C4—21no—
106C2×Dic59⋊C4—21no—
107C2×Dic59⋊C4—21no—
108C2×Dic59⋊C4—21no—
109C2×Dic59⋊C4—21no—
110C2×Dic59⋊C4—21no—
111C2×Dic59⋊C4—21no—
112C2×C4×Dic59—21no—
113C2×C4×Dic59—21no—
114C2×C4×Dic59—21no—
115#14273660C2314yes—
116#14273660C2314yes—
117#14273660C2314yes—
118#14273660C2314yes—
119#14273660C2314yes—
120#14273658C2314yes—
121#14273658C2314yes—
122#14273658C2314yes—
123#14273658C2314yes—
124C4⋊(C59⋊C8)C2314yes—
125C4⋊(C59⋊C8)C2314yes—
126C4⋊(C59⋊C8)C2314yes—
127#14273651C2314yes—
128#14273651C2314yes—
129#14273651C2314yes—
130#14273650C2314yes—
131#14273650C2314yes—
132#14273650C2314yes—
133#14273638C2314yes—
134#14273638C2314yes—
135C4×C59⋊C8C2314yes—
136C22×Q8×C59—21no—
137C22×Q8×C59D411yescharacteristic
138C22×Q8×C59C2311yescharacteristic
139C4⋊Q8×C59—28no—
140C4⋊Q8×C59—22no—
141C4⋊Q8×C59C2314yes—
142#125×C59—28no—
143#125×C59—28no—
144#125×C59—22no—
145#125×C59—22no—
146#125×C59C2314yes—
147#125×C59C2314yes—
148C4×Q8×C59—28no—
149C4×Q8×C59—22no—
150C4×Q8×C59—22no—
151C4×Q8×C59—22no—
152C4×Q8×C59D414yes—
153C4×Q8×C59C2314yes—
154C4×Q8×C59C2314yes—
155C4×Q8×C59C2314yes—
156C4×Q8×C59C2314yes—
157C2×C4⋊C4×C59—21no—
158C2×C4⋊C4×C59—21no—
159C2×C4⋊C4×C59—21no—
160C2×C4⋊C4×C59—21no—
161C2×C4⋊C4×C59—21no—
162C2×C4⋊C4×C59—21no—
163C2×C4⋊C4×C59—21no—
164C2×C4⋊C4×C59—21no—
165C2×C4⋊C4×C59D411yescharacteristic
166C2×C4⋊C4×C59D411yescharacteristic
167C2×C4⋊C4×C59D411yescharacteristic
168C2×C4⋊C4×C59C2311yescharacteristic
169C2×C4⋊C4×C59C2311yescharacteristic
170C2×C4⋊C4×C59C2311yescharacteristic
171C2×C42×C59—21no—
172C2×C42×C59—21no—
173C2×C42×C59—21no—
174C2×C42×C59C2311yescharacteristic
175C2×C42×C59C2311yescharacteristic
176C2×C42×C59C2311yescharacteristic
177C2×Q8×C59—21no—
178C2×Q8×C59—24no—
179C2×Q8×C59—22no—
180C2×Q8×C59—42no—
181C2×Q8×C59—44no—
182C2×Q8×C59C2×D414yes—
183C2×Q8×C59C2×Q814yes—
184C2×Q8×C59C2412yes—
185C22×C4×C59—21no—
186C22×C4×C59—21no—
187C22×C4×C59—21no—
188C22×C4×C59—21no—
189C22×C4×C59C2×D411yescharacteristic
190C22×C4×C59C2×D411yescharacteristic
191C22×C4×C59C2×D411yescharacteristic
192C22×C4×C59C2×D411yescharacteristic
193C22×C4×C59C2×D411yescharacteristic
194C22×C4×C59C2×D411yescharacteristic
195C22×C4×C59C2411yescharacteristic
196C22×Dic59—21no—
197C22×Dic59—21no—
198C22×Dic59—21no—
199C22×Dic59—21no—
200C2×Dic118—21no—
201C2×Dic118—22no—
202C2×Dic118—24no—
203C2×Dic118—44no—
204C2×Dic118C2×Q814yes—
205C2×Dic118C2412yes—
206C4⋊C4×C59—24no—
207C4⋊C4×C59—24no—
208C4⋊C4×C59—24no—
209C4⋊C4×C59—24no—
210C4⋊C4×C59—24no—
211C4⋊C4×C59—24no—
212C4⋊C4×C59—24no—
213C4⋊C4×C59—24no—
214C4⋊C4×C59—21no—
215C4⋊C4×C59—21no—
216C4⋊C4×C59—21no—
217C4⋊C4×C59C2×D414yes—
218C4⋊C4×C59C2×D414yes—
219C4⋊C4×C59C2×D414yes—
220C4⋊C4×C59C2412yes—
221C4⋊C4×C59C2412yes—
222C4⋊C4×C59C2412yes—
223C42×C59—24no—
224C42×C59—24no—
225C42×C59—24no—
226C42×C59C2×D412yes—
227C42×C59C2×D412yes—
228C42×C59C2×D412yes—
229C42×C59C2412yes—
230C42×C59C2412yes—
231C42×C59C2412yes—
232#11745672C2×Q8116yescomplemented
233C4⋊Dic59—24no—
234C4⋊Dic59—21no—
235C4⋊Dic59—21no—
236C4⋊Dic59—21no—
237C4⋊Dic59C2412yes—
238C4⋊Dic59C2412yes—
239C4⋊Dic59C2412yes—
240Dic59⋊C4—24no—
241Dic59⋊C4—24no—
242Dic59⋊C4—24no—
243Dic59⋊C4—24no—
244Dic59⋊C4—24no—
245Dic59⋊C4—24no—
246Dic59⋊C4—24no—
247C4×Dic59—24no—
248C4×Dic59—24no—
249C4×Dic59—24no—
250C2×C59⋊C8—22no—
251C2×C59⋊C8—22no—
252C2×C59⋊C8—22no—
253C2×C59⋊C8C2×Q814yes—
254C2×C59⋊C8C2412yes—
255C2×C59⋊C8C2412yes—
256C2×C59⋊C8C2412yes—
257C2×C59⋊C8C2412yes—
258C23×C59C22×D411yescharacteristic
259Q8×C59—24no—
260Q8×C59—22no—
261Q8×C59—44no—
262Q8×C59—48no—
263Q8×C59C22×Q814yes—
264C2×C4×C59—24no—
265C2×C4×C59—22no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—22no—
269C2×C4×C59—22no—
270C2×C4×C59—22no—
271C2×C4×C59—22no—
272C2×C4×C59—22no—
273C2×C4×C59—22no—
274C2×C4×C59—22no—
275C2×C4×C59—42no—
276C2×C4×C59—42no—
277C2×C4×C59—42no—
278C2×C4×C59C22×D412yes—
279C2×C4×C59C22×D412yes—
280C2×C4×C59C22×D412yes—
281C2×C4×C59C22×D412yes—
282C2×C4×C59C22×D412yes—
283C2×C4×C59C22×D412yes—
284C2×C4×C59C22×D411yescharacteristic
285C2×C4×C59C22×Q812yes—
286C2×C4×C592−1+412yes—
287C2×C4×C59C2511yescharacteristic
288C2×Dic59—24no—
289C2×Dic59—22no—
290C2×Dic59—22no—
291C2×Dic59—22no—
292C2×Dic59—22no—
293C2×Dic59—42no—
294C2×Dic59—42no—
295C2×Dic59—42no—
296Dic118—24no—
297Dic118—22no—
298Dic118—48no—
299Dic118C22×Q814yes—
300C59⋊C8—22no—
301C59⋊C8—22no—
302C59⋊C8—22no—
303C59⋊C8C22×Q814yes—
304C2×#3390—591nomaximal, Sylow
305C22×C59D4×Q812yes—
306C22×C59#57512yes—
307C22×C59#57812yes—
308C22×C59C23×D411yescharacteristic
309C4×C59—24no—
310C4×C59—22no—
311C4×C59—22no—
312C4×C59—22no—
313C4×C59—22no—
314C4×C59—22no—
315C4×C59—22no—
316C4×C59—42no—
317C4×C59—42no—
318C4×C59—42no—
319C4×C59D4×Q812yes—
320C4×C59C23×Q811yescharacteristic
321C4×C59C2×2−1+411yescharacteristic
322Dic59—24no—
323Dic59—42no—
324Dic59—42no—
325Dic59—42no—
326C2×#557—591no—
327C2×#557D5911yescharacteristic
328#3390—5916no—
329C2×#501—591no—
330C2×#501—591no—
331C2×#499—591no—
332C2×#479—591no—
333C2×#479—591no—
334C2×#479—591no—
335C2×#479—591no—
336C2×#477—591no—
337C2×#477—591no—
338C2×#446—591no—
339C2×#441—591no—
340C2×#441—591no—
341C2×C4×Q16—591no—
342C2×C59#339014yescomplemented
343C2×C59C2×D4×Q811yescharacteristic
344C2×C59C2×#57511yescharacteristic
345C2×C59C2×#57811yescharacteristic
346C22×Q16—591no—
347#557—24no—
348#557—598no—
349#557—1184no—
350#557C2×D5918yes—
351C2×C4⋊Q8—21no—
352C2×C4⋊Q8—591no—
353C2×C4⋊Q8—1181no—
354C2×C4⋊Q8C2×D5911yescharacteristic
355C2×#125—21no—
356C2×#125—21no—
357C2×#125—591no—
358C2×#125—591no—
359C2×#125—1181no—
360C2×#125—1181no—
361C2×#125C2×D5911yescharacteristic
362C2×#125C2×D5911yescharacteristic
363C2×C4×Q8—21no—
364C2×C4×Q8—591no—
365C2×C4×Q8—591no—
366C2×C4×Q8—591no—
367C2×C4×Q8—1181no—
368C2×C4×Q8C2×D5911yescharacteristic
369C2×C4×Q8C2×D5911yescharacteristic
370C2×C4×Q8C2×D5911yescharacteristic
371C2×C4×Q8C2×D5911yescharacteristic
372#501—598no—
373#501—598no—
374#499—598no—
375#479—598no—
376#479—598no—
377#479—598no—
378#479—598no—
379#477—598no—
380#477—598no—
381#446—598no—
382#441—598no—
383#441—598no—
384C4×Q16—598no—
385C2×#107—591no—
386C2×#107—591no—
387C2×#107—591no—
388C2×#107—591no—
389C2×#107—591no—
390C2×#106—591no—
391C2×#106—591no—
392C2×#106—591no—
393C2×#106—591no—
394C2×C4⋊C8—591no—
395C2×C4⋊C8—591no—
396C2×C4⋊C8—591no—
397C2×#103—591no—
398C2×#103—591no—
399C2×#103—591no—
400C2×#103—591no—
401C2×#103—591no—
402C2×#103—591no—
403C2×#97—591no—
404C2×#97—591no—
405C2×C4×C8—591no—
406C59C2×#339011yescharacteristic, complemented, Sylow
407C22×Q8—21no—
408C22×Q8—591no—
409C22×Q8—1181no—
410C22×Q8C22⋊D5911yescharacteristic
411C22×Q8C22×D5911yescharacteristic
412C2×Q16—598no—
413C2×Q16—594no—
414C22×C8—591no—
415C22×C8—591no—
416C22×C8—591no—
417C22×C8—591no—
418C4⋊Q8—28no—
419C4⋊Q8—22no—
420C4⋊Q8—594no—
421C4⋊Q8—1188no—
422C4⋊Q8—1182no—
423C4⋊Q8C22×D5914yes—
424#125—28no—
425#125—28no—
426#125—22no—
427#125—22no—
428#125—594no—
429#125—594no—
430#125—1188no—
431#125—1188no—
432#125—1182no—
433#125—1182no—
434#125C22×D5914yes—
435#125C22×D5914yes—
436C4×Q8—28no—
437C4×Q8—22no—
438C4×Q8—22no—
439C4×Q8—22no—
440C4×Q8—594no—
441C4×Q8—594no—
442C4×Q8—594no—
443C4×Q8—1188no—
444C4×Q8—1182no—
445C4×Q8—1182no—
446C4×Q8—1182no—
447C4×Q8C22⋊D5914yes—
448C4×Q8C22×D5914yes—
449C4×Q8C22×D5914yes—
450C4×Q8C22×D5914yes—
451C4×Q8C22×D5914yes—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—591no—
461C2×C4⋊C4—591no—
462C2×C4⋊C4—591no—
463C2×C4⋊C4—1181no—
464C2×C4⋊C4—1181no—
465C2×C4⋊C4—1181no—
466C2×C4⋊C4—1181no—
467C2×C4⋊C4—1181no—
468C2×C4⋊C4—1181no—
469C2×C4⋊C4—1181no—
470C2×C4⋊C4—1181no—
471C2×C4⋊C4C22⋊D5911yescharacteristic
472C2×C4⋊C4C22⋊D5911yescharacteristic
473C2×C4⋊C4C22⋊D5911yescharacteristic
474C2×C4⋊C4C22×D5911yescharacteristic
475C2×C4⋊C4C22×D5911yescharacteristic
476C2×C4⋊C4C22×D5911yescharacteristic
477C2×C42—21no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—1181no—
481C2×C42—1181no—
482C2×C42—1181no—
483C2×C42C22×D5911yescharacteristic
484C2×C42C22×D5911yescharacteristic
485C2×C42C22×D5911yescharacteristic
486#107—594no—
487#107—594no—
488#107—594no—
489#107—594no—
490#107—594no—
491#106—594no—
492#106—594no—
493#106—594no—
494#106—594no—
495C4⋊C8—594no—
496C4⋊C8—594no—
497C4⋊C8—594no—
498#103—594no—
499#103—594no—
500#103—594no—
501#103—594no—
502#103—594no—
503#103—594no—
504#97—594no—
505#97—594no—
506C4×C8—594no—
507C2×Q8—21no—
508C2×Q8—24no—
509C2×Q8—22no—
510C2×Q8—42no—
511C2×Q8—44no—
512C2×Q8—594no—
513C2×Q8—592no—
514C2×Q8—1181no—
515C2×Q8—1184no—
516C2×Q8—1182no—
517C2×Q8—2364no—
518C2×Q8Q8×D5914yes—
519C2×Q8C2×C22⋊D5914yes—
520C2×Q8C23×D5912yes—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—1181no—
526C22×C4—1181no—
527C22×C4—1181no—
528C22×C4—1181no—
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C2×C22⋊D5911yescharacteristic
534C22×C4C2×C22⋊D5911yescharacteristic
535C22×C4C23×D5911yescharacteristic
536Q16—5916no—
537C2×C8—594no—
538C2×C8—592no—
539C2×C8—592no—
540C2×C8—592no—
541C2×C8—592no—
542C2×C8—1182no—
543C2×C8—1182no—
544C2×C8—1182no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—592no—
557C4⋊C4—592no—
558C4⋊C4—592no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1184no—
563C4⋊C4—1184no—
564C4⋊C4—1184no—
565C4⋊C4—1184no—
566C4⋊C4—1184no—
567C4⋊C4—1184no—
568C4⋊C4—1184no—
569C4⋊C4—1184no—
570C4⋊C4C2×C22⋊D5914yes—
571C4⋊C4C2×C22⋊D5914yes—
572C4⋊C4C2×C22⋊D5914yes—
573C4⋊C4C23×D5912yes—
574C4⋊C4C23×D5912yes—
575C4⋊C4C23×D5912yes—
576C42—24no—
577C42—24no—
578C42—24no—
579C42—1184no—
580C42—1184no—
581C42—1184no—
582C42C2×C22⋊D5912yes—
583C42C2×C22⋊D5912yes—
584C42C2×C22⋊D5912yes—
585C42C23×D5912yes—
586C42C23×D5912yes—
587C42C23×D5912yes—
588C23C22×C22⋊D5911yescharacteristic
589Q8—22no—
590Q8—24no—
591Q8—44no—
592Q8—48no—
593Q8—594no—
594Q8—1182no—
595Q8—1184no—
596Q8—2368no—
597Q8C2×Q8×D5914yes—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—1182no—
613C2×C4—1184no—
614C2×C4—1182no—
615C2×C4—1182no—
616C2×C4—1182no—
617C2×C4—2362no—
618C2×C4—2362no—
619C2×C4—2362no—
620C2×C4C22×C22⋊D5912yes—
621C2×C4C22×C22⋊D5912yes—
622C2×C4C22×C22⋊D5912yes—
623C2×C4C22×C22⋊D5912yes—
624C2×C4C22×C22⋊D5912yes—
625C2×C4C22×C22⋊D5912yes—
626C2×C4C22×C22⋊D5911yescharacteristic
627C2×C4C2×Q8×D5912yes—
628C2×C4#1427377512yes—
629C2×C4C24×D5911yescharacteristic
630C8—594no—
631C8—1182no—
632C8—1182no—
633C8—1182no—
634C22Q8×C22⋊D5912yes—
635C22#1683820012yes—
636C22#1683821712yes—
637C22C23×C22⋊D5911yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—24no—
642C4—22no—
643C4—22no—
644C4—22no—
645C4—42no—
646C4—42no—
647C4—42no—
648C4—1184no—
649C4—2362no—
650C4—2362no—
651C4—2362no—
652C4Q8×C22⋊D5912yes—
653C4C22×Q8×D5911yescharacteristic
654C4C2×#1427377511yescharacteristic
655C2#2143705914yesdirect product factor
656C2C2×Q8×C22⋊D5911yescharacteristic
657C2C2×#1683820011yescharacteristic
658C2C2×#1683821711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#557C2
socle, prime radicalC23×C59C22×D4
hypercenterC2×#557D59
hypocenterC59C2×#3390
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
2. #21437059C2direct (N × H)
79. C2×#11745672Q8semidirect
232. #11745672C2×Q8semidirect
342. C2×C59#3390semidirect
406. C59C2×#3390semidirect
655. C2#21437059direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168381302
#214370592
C2×#168378122
C2×#168378082
C2×#168378012
C2×#168377092
C2×#168377062
C2×#168376972
C2×#168376942
C2×#168375332
C2×#168375072
C2×C4×#117456722
C2×C59×#5572
C2×#339059