Finite Group Databasebeta

← C2×#21437921 #29497167

Subgroups — C2×#21437921 #29497167

Order 15104.

6958 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437921C2132yesmaximal, direct product factor
2C2×#16838131C211yesmaximal, characteristic, complemented
3C2×#16838128C211yesmaximal, characteristic, complemented
4C2×#16838128C211yesmaximal, characteristic, complemented
5C2×#16838113C213yesmaximal, complemented
6C2×#16838112C213yesmaximal, complemented
7C2×#16838108C213yesmaximal, complemented
8C2×#16838108C213yesmaximal, complemented
9C2×#16838032C213yesmaximal, complemented
10C2×#16838029C213yesmaximal, complemented
11C2×#16837956C213yesmaximal, complemented
12C2×#125×D59C213yesmaximal, complemented
13C2×#16837884C211yesmaximal, characteristic
14C2×#16837884C211yesmaximal, characteristic
15C2×C4×#11745689C211yesmaximal, characteristic
16C2×C59×#557C211yesmaximal, characteristic, complemented
17C22×#11745689C2211yescharacteristic
18#16838131C22116yescomplemented
19#16838128C22116yescomplemented
20#16838128C22116yescomplemented
21#16838113C22148yescomplemented
22#16838112C22148yescomplemented
23#16838108C22148yescomplemented
24#16838108C22148yescomplemented
25#16838032C22148yescomplemented
26#16838029C22148yescomplemented
27#16837956C22148yescomplemented
28C2×#14273727C2213yes—
29C2×#14273726C2213yes—
30C2×#14273726C2213yes—
31C2×#14273726C2213yes—
32C2×#14273725C2213yes—
33C2×#14273719C2213yes—
34C2×#14273719C2213yes—
35C2×#14273718C2213yes—
36C2×#14273718C2213yes—
37C2×#14273718C2213yes—
38C2×#14273718C2213yes—
39C2×#14273717C2216yes—
40C2×#14273717C2213yes—
41C2×#14273717C2211yescharacteristic
42#125×D59C22148yescomplemented
43C2×#14273707C2216yes—
44C2×#14273707C2213yes—
45C2×#14273705C2216yes—
46C2×#14273705C2216yes—
47C2×#14273705C2213yes—
48C2×#14273705C2213yes—
49C2×#14273703C2216yes—
50C2×#14273703C2213yes—
51#16837884C22116yes—
52#16837884C22116yes—
53C4×#11745689C22116yes—
54C2×Q8×Dic59C2211yescharacteristic
55C2×Q8×Dic59C2211yescharacteristic
56C2×Q8×Dic59C2211yescharacteristic
57C2×C4×Dic118C2213yes—
58C2×C4×Dic118C2213yes—
59C2×C4×Dic118C2213yes—
60C2×C4×D236C2213yes—
61C2×C4×D236C2213yes—
62C2×C4×D236C2213yes—
63C2×#14273689C2213yes—
64C2×#14273689C2213yes—
65C2×#14273689C2213yes—
66C2×#14273685C2213yes—
67C2×#14273684C2213yes—
68C2×#14273684C2213yes—
69C2×C4⋊C4×D59C2213yes—
70C2×C4⋊C4×D59C2213yes—
71C2×C4⋊C4×D59C2216yes—
72C2×C4⋊C4×D59C2216yes—
73C2×C42×D59C2213yes—
74C59×#557C22116yescomplemented
75C2×C4⋊Q8×C59C2213yes—
76C2×#125×C59C2213yes—
77C2×#125×C59C2213yes—
78C2×C4×Q8×C59C2211yescharacteristic
79C2×C4×Q8×C59C2211yescharacteristic
80C2×C4×Q8×C59C2211yescharacteristic
81C2×C4×Q8×C59C2213yes—
82C2×#11745689Q8116yescomplemented
83C2×#11745689C2318yes—
84C22×Dic118C2313yes—
85C22×Dic118C2313yes—
86C22×Dic118C2313yes—
87C22×D236C2313yes—
88C22×C4×D59C2316yes—
89C22×C4×D59C2313yes—
90C22×C4×D59C2313yes—
91C22×C4×D59C2316yes—
92C22×C4×D59C2313yes—
93#14273727C23124yes—
94#14273726C23124yes—
95#14273726C23124yes—
96#14273726C23124yes—
97#14273725C23124yes—
98#14273719C23124yes—
99#14273719C23124yes—
100#14273718C23124yes—
101#14273718C23124yes—
102#14273718C23124yes—
103#14273718C23124yes—
104#14273717C23124yes—
105#14273717C23148yes—
106#14273717C2318yes—
107#14273707C23124yes—
108#14273707C23148yes—
109#14273705C23124yes—
110#14273705C23124yes—
111#14273705C23148yes—
112#14273705C23148yes—
113#14273703C23124yes—
114#14273703C23148yes—
115Q8×Dic59C2318yes—
116Q8×Dic59C2318yes—
117Q8×Dic59C2318yes—
118C4×Dic118C23124yes—
119C4×Dic118C23124yes—
120C4×Dic118C23124yes—
121C4×D236C23124yes—
122C4×D236C23124yes—
123C4×D236C23124yes—
124#14273689C23124yes—
125#14273689C23124yes—
126#14273689C23124yes—
127#14273685C23124yes—
128#14273684C23124yes—
129#14273684C23124yes—
130C2×C4⋊Dic59C2313yes—
131C2×C4⋊Dic59C2316yes—
132C2×C4⋊Dic59C2311yescharacteristic
133C2×C4⋊Dic59C2313yes—
134C2×C4⋊Dic59C2313yes—
135C2×C4⋊Dic59C2313yes—
136C2×C4⋊Dic59C2313yes—
137C2×Dic59⋊C4C2311yescharacteristic
138C2×Dic59⋊C4C2313yes—
139C2×Dic59⋊C4C2316yes—
140C2×Dic59⋊C4C2313yes—
141C2×Dic59⋊C4C2311yescharacteristic
142C2×Dic59⋊C4C2313yes—
143C2×Dic59⋊C4C2316yes—
144C2×Dic59⋊C4C2313yes—
145C2×Dic59⋊C4C2313yes—
146C2×Dic59⋊C4C2313yes—
147C2×Dic59⋊C4C2311yescharacteristic
148C2×Dic59⋊C4C2311yescharacteristic
149C4⋊C4×D59C23124yes—
150C4⋊C4×D59C23124yes—
151C4⋊C4×D59C23148yes—
152C4⋊C4×D59C23148yes—
153C2×(C2×D59)⋊C4C2313yes—
154C2×(C2×D59)⋊C4C2316yes—
155C2×(C2×D59)⋊C4C2313yes—
156C2×(C2×D59)⋊C4C2313yes—
157C2×(C2×D59)⋊C4C2313yes—
158C2×C4×Dic59C2311yescharacteristic
159C2×C4×Dic59C2313yes—
160C2×C4×Dic59C2313yes—
161C2×C4×Dic59C2313yes—
162C2×C4×Dic59C2313yes—
163C42×D59C23124yes—
164C22×Q8×C59C2313yes—
165C22×Q8×C59C2311yescharacteristic
166C4⋊Q8×C59C23124yes—
167#125×C59C23124yes—
168#125×C59C23124yes—
169C4×Q8×C59C23124yes—
170C4×Q8×C59C2318yes—
171C4×Q8×C59C2318yes—
172C4×Q8×C59C2318yes—
173C2×C4⋊C4×C59C2311yescharacteristic
174C2×C4⋊C4×C59C2313yes—
175C2×C4⋊C4×C59C2316yes—
176C2×C4⋊C4×C59C2313yes—
177C2×C4⋊C4×C59C2313yes—
178C2×C4⋊C4×C59C2313yes—
179C2×C4⋊C4×C59C2313yes—
180C2×C42×C59C2313yes—
181C2×C42×C59C2313yes—
182C2×C42×C59C2313yes—
183C23×D59C2413yes—
184C2×Q8×C59—46no—
185C2×Q8×C59C2×Q818yes—
186C2×Q8×C59C24112yes—
187C2×Q8×C59C2414yes—
188C22×C4×C59C2411yescharacteristic
189C22×C4×C59C2411yescharacteristic
190C22×C4×C59C2411yescharacteristic
191C22×C4×C59C2413yes—
192C22×C4×C59C2413yes—
193C22×C4×C59C2413yes—
194C22×C4×C59C2413yes—
195C22×Dic59C2411yescharacteristic
196C22×Dic59C2411yescharacteristic
197C22×Dic59C2411yescharacteristic
198C22×Dic59C2413yes—
199C22×Dic59C2413yes—
200C22×Dic59C2413yes—
201C22×Dic59C2411yescharacteristic
202#11745689C2×Q8164yescomplemented
203C2×D236C2×Q8124yes—
204C2×D236C24112yes—
205C2×C4×D59—46no—
206C2×C4×D59—412no—
207C2×C4×D59—412no—
208C2×C4×D59—46no—
209C2×C4×D59C2×Q8124yes—
210C2×C4×D59C24112yes—
211C2×C4×D59C24112yes—
212C2×C4×D59C24124yes—
213C2×C4×D59C24124yes—
214C2×C4×D59C24112yes—
215C2×Dic118—46no—
216C2×Dic118—46no—
217C2×Dic118—46no—
218C2×Dic118C24112yes—
219C2×Dic118C24112yes—
220C2×Dic118C24112yes—
221C4⋊C4×C59C2414yes—
222C4⋊C4×C59C24112yes—
223C4⋊C4×C59C24112yes—
224C4⋊C4×C59C24112yes—
225C4⋊C4×C59C24112yes—
226C4⋊C4×C59C24112yes—
227C4⋊C4×C59C24124yes—
228C42×C59C24112yes—
229C42×C59C24112yes—
230C42×C59C24112yes—
231(C2×D59)⋊C4C24112yes—
232(C2×D59)⋊C4C24112yes—
233(C2×D59)⋊C4C24112yes—
234(C2×D59)⋊C4C24112yes—
235(C2×D59)⋊C4C24124yes—
236C4⋊Dic59C24112yes—
237C4⋊Dic59C24112yes—
238C4⋊Dic59C24112yes—
239C4⋊Dic59C24124yes—
240C4⋊Dic59C24112yes—
241C4⋊Dic59C2414yes—
242C4⋊Dic59C24112yes—
243Dic59⋊C4C24112yes—
244Dic59⋊C4C24112yes—
245Dic59⋊C4C24112yes—
246Dic59⋊C4C24112yes—
247Dic59⋊C4C24124yes—
248Dic59⋊C4C24124yes—
249Dic59⋊C4C2414yes—
250Dic59⋊C4C2414yes—
251Dic59⋊C4C2414yes—
252Dic59⋊C4C2414yes—
253Dic59⋊C4C24112yes—
254Dic59⋊C4C24112yes—
255C4×Dic59C2414yes—
256C4×Dic59C24112yes—
257C4×Dic59C24112yes—
258C4×Dic59C24112yes—
259C4×Dic59C24112yes—
260C23×C59C2511yescharacteristic
261C22×D59—26no—
262C22×D59—26no—
263C22×D59C22×Q8112yes—
264C22×D59C2516yes—
265Q8×C59—412no—
266Q8×C59C22×Q8116yes—
267C2×C4×C59—22no—
268C2×C4×C59—26no—
269C2×C4×C59—26no—
270C2×C4×C59—22no—
271C2×C4×C59—26no—
272C2×C4×C59—22no—
273C2×C4×C59C22×Q8112yes—
274C2×C4×C59C2512yes—
275C2×C4×C59C2516yes—
276C2×C4×C59C2512yes—
277C2×C4×C59C2516yes—
278C2×C4×C59C2516yes—
279C2×C4×C59C2512yes—
280C2×C4×C59C2516yes—
281C2×Dic59—22no—
282C2×Dic59—22no—
283C2×Dic59—26no—
284C2×Dic59—26no—
285C2×Dic59—26no—
286C2×Dic59—22no—
287C2×Dic59C22×Q814yes—
288C2×Dic59C2512yes—
289C2×Dic59C2512yes—
290C2×Dic59C2512yes—
291C2×Dic59C2516yes—
292C2×Dic59C2516yes—
293C2×Dic59C2516yes—
294C2×Dic59C2512yes—
295D236C22×Q8148yes—
296C4×D59—412no—
297C4×D59—424no—
298C4×D59—424no—
299C4×D59—412no—
300C4×D59C22×Q8148yes—
301Dic118—412no—
302Dic118—412no—
303Dic118—412no—
304C2×#3504—591nomaximal, Sylow
305C22×C59C23×Q812yes—
306C22×C59#58512yes—
307C22×C59#58512yes—
308C22×C59C2611yescharacteristic
309C2×D59—26no—
310C2×D59—26no—
311C2×D59—224no—
312C2×D59C23×Q8112yes—
313C4×C59—22no—
314C4×C59—26no—
315C4×C59—26no—
316C4×C59—22no—
317C4×C59—26no—
318C4×C59—22no—
319C4×C59C23×Q8112yes—
320Dic59—22no—
321Dic59—22no—
322Dic59—26no—
323Dic59—26no—
324Dic59—26no—
325Dic59—22no—
326Dic59C23×Q814yes—
327#3504—5932no—
328C2×#557—591no—
329C2×#557—591no—
330C2×#557—591no—
331C2×#557D5911yescharacteristic, complemented
332C2×#554—593no—
333C2×#554—593no—
334C2×#554—593no—
335C2×#554—593no—
336C2×#544—593no—
337C2×#544—593no—
338C2×#533—593no—
339C22×#125—593no—
340C2×#520—591no—
341C2×#520—591no—
342C2×C4×#41—591no—
343C2×C59#350414yescomplemented
344C2×C59C24×Q811yescharacteristic
345C2×C59C2×#58511yescharacteristic
346C2×C59C2×#58511yescharacteristic
347D59—212no—
348C22×#41—591no—
349#557—5916no—
350#557—5916no—
351#557—5916no—
352#557C2×D59116yescomplemented
353#554—5948no—
354#554—5948no—
355#554—5948no—
356#554—5948no—
357#544—5948no—
358#544—5948no—
359#533—5948no—
360C2×C4⋊Q8—593no—
361C2×C4⋊Q8—593no—
362C2×C4⋊Q8—593no—
363C2×C4⋊Q8—593no—
364C2×C4⋊Q8—593no—
365C2×C4⋊Q8C2×D5913yes—
366C2×#125—5948no—
367C2×#125—593no—
368C2×#125—596no—
369C2×#125—591no—
370C2×#125—593no—
371C2×#125—593no—
372C2×#125—593no—
373C2×#125—593no—
374C2×#125—593no—
375C2×#125—593no—
376C2×#125C2×D5913yes—
377C2×#125C2×D5913yes—
378C2×C22⋊Q8—593no—
379C2×C22⋊Q8—596no—
380C2×C22⋊Q8—593no—
381C2×C22⋊Q8—593no—
382C2×C22⋊Q8—596no—
383C2×C22⋊Q8—596no—
384C2×C22⋊Q8—593no—
385C2×C22⋊Q8—596no—
386#520—5916no—
387#520—5916no—
388C4×#41—5916no—
389C2×C4×Q8—591no—
390C2×C4×Q8—591no—
391C2×C4×Q8—591no—
392C2×C4×Q8—593no—
393C2×C4×Q8—593no—
394C2×C4×Q8—593no—
395C2×C4×Q8C2×D5911yescharacteristic
396C2×C4×Q8C2×D5911yescharacteristic
397C2×C4×Q8C2×D5911yescharacteristic
398C2×C4×Q8C2×D5913yes—
399C2×C4×D4—593no—
400C2×C4×D4—593no—
401C2×C4×D4—593no—
402C2×C4×D4—593no—
403C2×C4×D4—593no—
404C2×C4×D4—593no—
405C2×#117—593no—
406C2×#117—593no—
407C2×#117—593no—
408C22×C4⋊C4—593no—
409C22×C4⋊C4—593no—
410C22×C4⋊C4—596no—
411C22×C4⋊C4—596no—
412C22×C42—593no—
413C59C2×#350411yescharacteristic, complemented, Sylow
414C2×#41—5916no—
415C2×#41—598no—
416C22×Q8—593no—
417C22×Q8—593no—
418C22×Q8—593no—
419C22×Q8C22×D5913yes—
420C22×Q8C22×D5911yescharacteristic
421C22×D4—593no—
422C23×C4—593no—
423C23×C4—596no—
424C23×C4—596no—
425C23×C4—593no—
426C23×C4—593no—
427C4⋊Q8—5924no—
428C4⋊Q8—5924no—
429C4⋊Q8—5924no—
430C4⋊Q8—5924no—
431C4⋊Q8—5924no—
432C4⋊Q8C22×D59124yes—
433#125—5924no—
434#125—5948no—
435#125—5924no—
436#125—5924no—
437#125—598no—
438#125—5924no—
439#125—5924no—
440#125—5924no—
441#125—5924no—
442#125C22×D59124yes—
443#125C22×D59124yes—
444C22⋊Q8—5924no—
445C22⋊Q8—5948no—
446C22⋊Q8—5924no—
447C22⋊Q8—5924no—
448C22⋊Q8—5924no—
449C22⋊Q8—5948no—
450C22⋊Q8—5948no—
451C22⋊Q8—5948no—
452C4×Q8—598no—
453C4×Q8—598no—
454C4×Q8—598no—
455C4×Q8—5924no—
456C4×Q8—5924no—
457C4×Q8—5924no—
458C4×Q8C22×D5918yes—
459C4×Q8C22×D5918yes—
460C4×Q8C22×D5918yes—
461C4×Q8C22×D59124yes—
462C4×D4—5924no—
463C4×D4—5924no—
464C4×D4—5924no—
465C4×D4—5924no—
466C4×D4—5924no—
467C4×D4—5924no—
468#117—5924no—
469#117—5924no—
470#117—5924no—
471C2×C4⋊C4—593no—
472C2×C4⋊C4—593no—
473C2×C4⋊C4—593no—
474C2×C4⋊C4—593no—
475C2×C4⋊C4—593no—
476C2×C4⋊C4—593no—
477C2×C4⋊C4—593no—
478C2×C4⋊C4—596no—
479C2×C4⋊C4—596no—
480C2×C4⋊C4—596no—
481C2×C4⋊C4—591no—
482C2×C4⋊C4—591no—
483C2×C4⋊C4—593no—
484C2×C4⋊C4—591no—
485C2×C4⋊C4—591no—
486C2×C4⋊C4—591no—
487C2×C4⋊C4—593no—
488C2×C4⋊C4—593no—
489C2×C4⋊C4—593no—
490C2×C4⋊C4—5924no—
491C2×C4⋊C4—5924no—
492C2×C4⋊C4—5948no—
493C2×C4⋊C4—5948no—
494C2×C4⋊C4C22×D5913yes—
495C2×C4⋊C4C22×D5913yes—
496C2×C4⋊C4C22×D5913yes—
497C2×C4⋊C4C22×D5916yes—
498C2×C4⋊C4C22×D5913yes—
499C2×C4⋊C4C22×D5911yescharacteristic
500C2×C4⋊C4C22×D5913yes—
501C2×C22⋊C4—593no—
502C2×C22⋊C4—593no—
503C2×C22⋊C4—596no—
504C2×C22⋊C4—593no—
505C2×C22⋊C4—593no—
506C2×C42—593no—
507C2×C42—593no—
508C2×C42—593no—
509C2×C42—593no—
510C2×C42—591no—
511C2×C42—5924no—
512C2×C42C22×D5913yes—
513C2×C42C22×D5913yes—
514C2×C42C22×D5913yes—
515C24—593no—
516#41—5964no—
517C2×Q8—46no—
518C2×Q8—5912no—
519C2×Q8—5912no—
520C2×Q8—5912no—
521C2×Q8—2366no—
522C2×Q8—2366no—
523C2×Q8—2366no—
524C2×Q8Q8×D5918yes—
525C2×Q8C23×D59112yes—
526C2×Q8C23×D5914yes—
527C2×D4—5924no—
528C2×D4—5912no—
529C22×C4—591no—
530C22×C4—5924no—
531C22×C4—5912no—
532C22×C4—591no—
533C22×C4—591no—
534C22×C4—591no—
535C22×C4—593no—
536C22×C4—593no—
537C22×C4—593no—
538C22×C4—5912no—
539C22×C4—5912no—
540C22×C4—5924no—
541C22×C4—5924no—
542C22×C4—23612no—
543C22×C4—2366no—
544C22×C4—2366no—
545C22×C4—23612no—
546C22×C4C23×D5911yescharacteristic
547C22×C4C23×D5913yes—
548C22×C4C23×D5911yescharacteristic
549C22×C4C23×D5911yescharacteristic
550C22×C4C23×D5913yes—
551C22×C4C23×D5913yes—
552C22×C4C23×D5913yes—
553C4⋊C4—5912no—
554C4⋊C4—5912no—
555C4⋊C4—5912no—
556C4⋊C4—5912no—
557C4⋊C4—5912no—
558C4⋊C4—5912no—
559C4⋊C4—5912no—
560C4⋊C4—5924no—
561C4⋊C4—5924no—
562C4⋊C4—5924no—
563C4⋊C4—594no—
564C4⋊C4—594no—
565C4⋊C4—5912no—
566C4⋊C4—594no—
567C4⋊C4—594no—
568C4⋊C4—594no—
569C4⋊C4—5912no—
570C4⋊C4—5912no—
571C4⋊C4—5912no—
572C4⋊C4C23×D59112yes—
573C4⋊C4C23×D59112yes—
574C4⋊C4C23×D59112yes—
575C4⋊C4C23×D59124yes—
576C4⋊C4C23×D59112yes—
577C4⋊C4C23×D5914yes—
578C4⋊C4C23×D59112yes—
579C22⋊C4—5912no—
580C22⋊C4—5912no—
581C22⋊C4—5924no—
582C22⋊C4—5912no—
583C22⋊C4—5912no—
584C42—594no—
585C42—5912no—
586C42—5912no—
587C42—5912no—
588C42—5912no—
589C42C23×D59112yes—
590C42C23×D59112yes—
591C42C23×D59112yes—
592C23—5912no—
593C23—596no—
594C23—1186no—
595C23—1186no—
596C23C24×D5911yescharacteristic
597Q8—412no—
598Q8—23612no—
599Q8—23612no—
600Q8—23612no—
601Q8C2×Q8×D59116yes—
602D4—5948no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—594no—
610C2×C4—592no—
611C2×C4—5948no—
612C2×C4—592no—
613C2×C4—592no—
614C2×C4—592no—
615C2×C4—596no—
616C2×C4—596no—
617C2×C4—596no—
618C2×C4—1182no—
619C2×C4—1186no—
620C2×C4—1182no—
621C2×C4—1186no—
622C2×C4—1186no—
623C2×C4—1182no—
624C2×C4—23624no—
625C2×C4—23612no—
626C2×C4—23612no—
627C2×C4—23624no—
628C2×C4C2×Q8×D59112yes—
629C2×C4C24×D5912yes—
630C2×C4C24×D5916yes—
631C2×C4C24×D5912yes—
632C2×C4C24×D5912yes—
633C2×C4C24×D5916yes—
634C2×C4C24×D5916yes—
635C2×C4C24×D5916yes—
636C22—5912no—
637C22—1186no—
638C22—1186no—
639C22—11824no—
640C22C22×Q8×D5912yes—
641C22#1683823812yes—
642C22#1683823912yes—
643C22C25×D5911yescharacteristic
644C4—26no—
645C4—26no—
646C4—22no—
647C4—22no—
648C4—26no—
649C4—22no—
650C4—594no—
651C4—1182no—
652C4—1186no—
653C4—1182no—
654C4—1186no—
655C4—1186no—
656C4—1182no—
657C4C22×Q8×D59112yes—
658C2—11812no—
659C2#2143792114yesdirect product factor
660C2C23×Q8×D5911yescharacteristic
661C2C2×#1683823811yescharacteristic
662C2C2×#1683823911yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#557C2
socleC23×C59C25
prime radicalC22×#11745689C22
hypercenterC2×#557D59
hypocenterC59C2×#3504
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #21437921C2direct (N × H)
2. C2×#16838131C2semidirect
3. C2×#16838128C2semidirect
4. C2×#16838128C2semidirect
5. C2×#16838113C2semidirect
6. C2×#16838112C2semidirect
7. C2×#16838108C2semidirect
8. C2×#16838108C2semidirect
9. C2×#16838032C2semidirect
10. C2×#16838029C2semidirect
11. C2×#16837956C2semidirect
12. C2×#125×D59C2semidirect
16. C2×C59×#557C2semidirect
18. #16838131C22semidirect
19. #16838128C22semidirect
20. #16838128C22semidirect
21. #16838113C22semidirect
22. #16838112C22semidirect
23. #16838108C22semidirect
24. #16838108C22semidirect
25. #16838032C22semidirect
26. #16838029C22semidirect
27. #16837956C22semidirect
42. #125×D59C22semidirect
74. C59×#557C22semidirect
82. C2×#11745689Q8semidirect
202. #11745689C2×Q8semidirect
331. C2×#557D59semidirect
343. C2×C59#3504semidirect
352. #557C2×D59semidirect
413. C59C2×#3504semidirect
659. C2#21437921direct (N × H)

Maximal subgroups

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

subgroupindex
#214379212
C2×#168381312
C2×#168381282
C2×#168381132
C2×#168381122
C2×#168381082
C2×#168380322
C2×#168380292
C2×#168379562
C2×#125×D592
C2×#168378842
C2×C4×#117456892
C2×C59×#5572
C2×#350459