Finite Group Databasebeta

← C149×#16264 #49195213

Subgroups — C149×#16264 #49195213

Order 38144.

1842 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊Q8×C149C211yesmaximal, characteristic
2C2×#398×C149C212yesmaximal, complemented
3C2×#395×C149C211yesmaximal, characteristic, complemented
4C2×#385×C149C211yesmaximal, characteristic
5C2×#380×C149C211yesmaximal, characteristic
6#1446×C149C211yesmaximal, characteristic, complemented
7#1442×C149C211yesmaximal, characteristic, complemented
8#1441×C149C211yesmaximal, characteristic, complemented
9#1441×C149C212yesmaximal, complemented
10#1440×C149C212yesmaximal
11#1439×C149C212yesmaximal
12C23×Q8×C149C2211yescharacteristic
13C24×C4×C149C2211yescharacteristic
14C2×C22⋊Q8×C149—24no—
15C2×C22⋊Q8×C149—28no—
16C22×C4⋊C4×C149C2211yescharacteristic
17C22×C4⋊C4×C149C2211yescharacteristic
18C22×C4⋊C4×C149C2211yescharacteristic
19C22×C4⋊C4×C149C2212yes—
20C22×C4⋊C4×C149C2212yes—
21C22×C4⋊C4×C149C2212yes—
22C22×C22⋊C4×C149C2212yes—
23C22×C22⋊C4×C149C2212yes—
24C22×C22⋊C4×C149C2211yescharacteristic
25C22×C22⋊C4×C149C2211yescharacteristic
26#398×C149—28no—
27#395×C149—24no—
28#385×C149—24no—
29#380×C149—24no—
30C2×#95×C149C2212yes—
31C2×#95×C149C2212yes—
32C2×#95×C149C2212yes—
33C2×#95×C149C2212yes—
34C2×#95×C149C2211yescharacteristic
35C2×#95×C149C2211yescharacteristic
36C2×#95×C149C2211yescharacteristic
37C2×#95×C149C2212yes—
38C2×#95×C149C2212yes—
39C2×#95×C149C2212yes—
40C2×#95×C149C2211yescharacteristic
41C25×C149C2311yescharacteristic
42C22×Q8×C149—24no—
43C22×Q8×C149—22no—
44C22×Q8×C149—22no—
45C22×Q8×C149—22no—
46C22×Q8×C149—42no—
47C23×C4×C149—22no—
48C23×C4×C149—24no—
49C23×C4×C149—22no—
50C23×C4×C149—42no—
51C23×C4×C149D414yes—
52C23×C4×C149C2311yescharacteristic
53C23×C4×C149C2312yes—
54C23×C4×C149C2311yescharacteristic
55C23×C4×C149C2312yes—
56C23×C4×C149C2312yes—
57C23×C4×C149C2312yes—
58C23×C4×C149C2311yescharacteristic
59C23×C4×C149C2311yescharacteristic
60C23×C4×C149C2311yescharacteristic
61C23×C4×C149C2311yescharacteristic
62C22⋊Q8×C149—232no—
63C2×C4⋊C4×C149—24no—
64C2×C4⋊C4×C149—22no—
65C2×C4⋊C4×C149—24no—
66C2×C4⋊C4×C149—24no—
67C2×C4⋊C4×C149—24no—
68C2×C4⋊C4×C149—22no—
69C2×C4⋊C4×C149—22no—
70C2×C4⋊C4×C149—24no—
71C2×C4⋊C4×C149—22no—
72C2×C4⋊C4×C149—24no—
73C2×C4⋊C4×C149—24no—
74C2×C4⋊C4×C149—24no—
75C2×C4⋊C4×C149—22no—
76C2×C4⋊C4×C149—42no—
77C2×C4⋊C4×C149—42no—
78C2×C4⋊C4×C149D418yes—
79C2×C22⋊C4×C149—22no—
80C2×C22⋊C4×C149—24no—
81C2×C22⋊C4×C149—22no—
82C2×C22⋊C4×C149—24no—
83C2×C22⋊C4×C149—24no—
84C2×C22⋊C4×C149—22no—
85C2×C22⋊C4×C149—24no—
86C2×C22⋊C4×C149—24no—
87C2×C22⋊C4×C149—42no—
88C2×C22⋊C4×C149—42no—
89C2×C22⋊C4×C149Q814yescomplemented
90#95×C149—22no—
91#95×C149—22no—
92#95×C149—22no—
93#95×C149—24no—
94#95×C149—24no—
95#95×C149—24no—
96#95×C149—24no—
97#95×C149—42no—
98#95×C149—42no—
99#95×C149—42no—
100#95×C149D414yes—
101C24×C149—22no—
102C24×C149—21no—
103C24×C149—21no—
104C24×C149—21no—
105C24×C149—22no—
106C24×C149—22no—
107C24×C149—22no—
108C24×C149—21no—
109C24×C149C2×D412yes—
110C24×C149C2×Q812yes—
111C24×C149#4112yes—
112C24×C149C2411yescharacteristic
113C2×Q8×C149—28no—
114C2×Q8×C149—48no—
115C2×Q8×C149—48no—
116C2×Q8×C149—44no—
117C2×Q8×C149—44no—
118C22×C4×C149—21no—
119C22×C4×C149—22no—
120C22×C4×C149—21no—
121C22×C4×C149—22no—
122C22×C4×C149—22no—
123C22×C4×C149—22no—
124C22×C4×C149—21no—
125C22×C4×C149—21no—
126C22×C4×C149—21no—
127C22×C4×C149—22no—
128C22×C4×C149—22no—
129C22×C4×C149—22no—
130C22×C4×C149—22no—
131C22×C4×C149—22no—
132C22×C4×C149—22no—
133C22×C4×C149—21no—
134C22×C4×C149—21no—
135C22×C4×C149—22no—
136C22×C4×C149—21no—
137C22×C4×C149—22no—
138C22×C4×C149—22no—
139C22×C4×C149—21no—
140C22×C4×C149—22no—
141C22×C4×C149—22no—
142C22×C4×C149—22no—
143C22×C4×C149—22no—
144C22×C4×C149—22no—
145C22×C4×C149—22no—
146C22×C4×C149—22no—
147C22×C4×C149—22no—
148C22×C4×C149—22no—
149C22×C4×C149—22no—
150C22×C4×C149—21no—
151C22×C4×C149—28no—
152C22×C4×C149—28no—
153C22×C4×C149—21no—
154C22×C4×C149—22no—
155C22×C4×C149—22no—
156C22×C4×C149—22no—
157C22×C4×C149—21no—
158C22×C4×C149—21no—
159C22×C4×C149—22no—
160C22×C4×C149—21no—
161C22×C4×C149—21no—
162C22×C4×C149—22no—
163C22×C4×C149—22no—
164C22×C4×C149—22no—
165C22×C4×C149—22no—
166C22×C4×C149—22no—
167C22×C4×C149—22no—
168C22×C4×C149—22no—
169C22×C4×C149—21no—
170C22×C4×C149—44no—
171C22×C4×C149—48no—
172C22×C4×C149—48no—
173C22×C4×C149C2×D414yes—
174C22×C4×C149C2×D414yes—
175C22×C4×C149C2×D414yes—
176C22×C4×C149C2×D412yes—
177C22×C4×C149C2×D414yes—
178C22×C4×C149C2×D412yes—
179C22×C4×C149C2×D412yes—
180C22×C4×C149C2×Q812yes—
181C22×C4×C149C2×Q812yes—
182C22×C4×C149#4112yes—
183C4⋊C4×C149—28no—
184C4⋊C4×C149—216no—
185C4⋊C4×C149—48no—
186C4⋊C4×C149—48no—
187C4⋊C4×C149—44no—
188C4⋊C4×C149—44no—
189C22⋊C4×C149—216no—
190C22⋊C4×C149—28no—
191C22⋊C4×C149—48no—
192C22⋊C4×C149—44no—
193C23×C149—22no—
194C23×C149—22no—
195C23×C149—22no—
196C23×C149—22no—
197C23×C149—22no—
198C23×C149—22no—
199C23×C149—24no—
200C23×C149—24no—
201C23×C149—22no—
202C23×C149—24no—
203C23×C149—24no—
204C23×C149—22no—
205C23×C149—22no—
206C23×C149—22no—
207C23×C149—42no—
208C23×C149—42no—
209C23×C149—42no—
210C23×C149—42no—
211C23×C149—42no—
212C23×C149—42no—
213C23×C149—42no—
214C23×C149—42no—
215C23×C149C22⋊Q814yes—
216C23×C149C22×D411yescharacteristic
217C23×C149C22×D412yes—
218C23×C149C22×D411yescharacteristic
219C23×C149C22×Q811yescharacteristic
220C23×C149C2×#4111yescharacteristic
221C23×C149C2×#4111yescharacteristic
222C23×C149H(5,𝔽2)12yes—
223C23×C149H(5,𝔽2)11yescharacteristic
224C23×C1492−1+412yes—
225C23×C1492−1+411yescharacteristic
226C23×C1492−1+412yes—
227Q8×C149—416no—
228C2×C4×C149—22no—
229C2×C4×C149—22no—
230C2×C4×C149—22no—
231C2×C4×C149—22no—
232C2×C4×C149—24no—
233C2×C4×C149—24no—
234C2×C4×C149—24no—
235C2×C4×C149—24no—
236C2×C4×C149—24no—
237C2×C4×C149—24no—
238C2×C4×C149—22no—
239C2×C4×C149—22no—
240C2×C4×C149—24no—
241C2×C4×C149—24no—
242C2×C4×C149—24no—
243C2×C4×C149—24no—
244C2×C4×C149—24no—
245C2×C4×C149—24no—
246C2×C4×C149—24no—
247C2×C4×C149—24no—
248C2×C4×C149—22no—
249C2×C4×C149—22no—
250C2×C4×C149—416no—
251C2×C4×C149—41no—
252C2×C4×C149—41no—
253C2×C4×C149—42no—
254C2×C4×C149—42no—
255C2×C4×C149—42no—
256C2×C4×C149—42no—
257C2×C4×C149—41no—
258C2×C4×C149—42no—
259C2×C4×C149—42no—
260C2×C4×C149—41no—
261C2×C4×C149—42no—
262C2×C4×C149—42no—
263C2×C4×C149—42no—
264C2×C4×C149—41no—
265C2×C4×C149—42no—
266C2×C4×C149—42no—
267C2×C4×C149—42no—
268C2×C4×C149—41no—
269C2×C4×C149—42no—
270C2×C4×C149—41no—
271C2×C4×C149—41no—
272C2×C4×C149—41no—
273C2×C4×C149—41no—
274C2×C4×C149—42no—
275C2×C4×C149—41no—
276C2×C4×C149—42no—
277C2×C4×C149—41no—
278C2×C4×C149—42no—
279C2×C4×C149—42no—
280C2×C4×C149—42no—
281C2×C4×C149—42no—
282C2×C4×C149—42no—
283C2×C4×C149—42no—
284C2×C4×C149—42no—
285C2×C4×C149—42no—
286C2×C4×C149—42no—
287C2×C4×C149#12014yes—
288C2×C4×C149#12114yes—
289C22×C149—24no—
290C22×C149—24no—
291C22×C149—24no—
292C22×C149—42no—
293C22×C149—42no—
294C22×C149—42no—
295C22×C149—44no—
296C22×C149—44no—
297C22×C149—44no—
298C22×C149—44no—
299C22×C149—42no—
300C22×C149C2×#12011yescharacteristic
301C22×C149C2×#12111yescharacteristic
302C22×C149C2×C22⋊Q811yescharacteristic
303C22×C149#53411yescharacteristic
304C22×C149#53611yescharacteristic
305C22×C149#53612yes—
306C22×C149#53611yescharacteristic
307C22×C149#53612yes—
308C22×C149#53711yescharacteristic
309C22×C149#53712yes—
310C22×C149#53912yes—
311C22×C149#54112yes—
312C22×C149#54412yes—
313C22×C149D4212yes—
314C22×C149#54612yes—
315C22×C149#54611yescharacteristic
316C22×C149#54812yes—
317C22×C149D4×Q812yes—
318C22×C149D4×Q811yescharacteristic
319C22×C149#55211yescharacteristic
320C22×C149#55411yescharacteristic
321C22×C149#56212yes—
322C22×C149#56312yes—
323C4×C149—24no—
324C4×C149—24no—
325C4×C149—44no—
326C4×C149—42no—
327C4×C149—44no—
328C4×C149—42no—
329C4×C149—44no—
330C4×C149—81no—
331C4×C149—82no—
332C4×C149—81no—
333C2×C149—44no—
334C2×C149#240911yescharacteristic
335C2×C149#241011yescharacteristic
336C2×C149#241711yescharacteristic
337C2×C149#261611yescharacteristic
338C2×C149#262111yescharacteristic
339C2×C149#262711yescharacteristic
340C2×C149#267712yes—
341C2×C149#268112yes—
342C2×C149#269012yes—
343C2×C149#270412yes—
344C2×C149#281411yescharacteristic
345#16264C14911yesmaximal, characteristic, direct product factor, Sylow
346C149#1626411yescharacteristic, direct product factor, Sylow
347C22×C22⋊Q8C2×C14911yescharacteristic
348C2×#398C2×C14912yescomplemented
349C2×#395C2×C14911yescharacteristic, complemented
350C2×#385C2×C14911yescharacteristic
351C2×#380C2×C14911yescharacteristic
352#1446C2×C14911yescharacteristic, complemented
353#1442C2×C14911yescharacteristic, complemented
354#1441C2×C14911yescharacteristic, complemented
355#1441C2×C14912yescomplemented
356#1440C2×C14912yes—
357#1439C2×C14912yes—
358C23×Q8C22×C14911yescharacteristic
359C24×C4C22×C14911yescharacteristic
360C2×C22⋊Q8—24no—
361C2×C22⋊Q8—28no—
362C22×C4⋊C4C22×C14911yescharacteristic
363C22×C4⋊C4C22×C14911yescharacteristic
364C22×C4⋊C4C22×C14911yescharacteristic
365C22×C4⋊C4C22×C14912yes—
366C22×C4⋊C4C22×C14912yes—
367C22×C4⋊C4C22×C14912yes—
368C22×C22⋊C4C22×C14912yes—
369C22×C22⋊C4C22×C14912yes—
370C22×C22⋊C4C22×C14911yescharacteristic
371C22×C22⋊C4C22×C14911yescharacteristic
372#398—28no—
373#395—24no—
374#385—24no—
375#380—24no—
376C2×#95C22×C14912yes—
377C2×#95C22×C14912yes—
378C2×#95C22×C14912yes—
379C2×#95C22×C14912yes—
380C2×#95C22×C14911yescharacteristic
381C2×#95C22×C14911yescharacteristic
382C2×#95C22×C14911yescharacteristic
383C2×#95C22×C14912yes—
384C2×#95C22×C14912yes—
385C2×#95C22×C14912yes—
386C2×#95C22×C14911yescharacteristic
387C25C23×C14911yescharacteristic
388C22×Q8—24no—
389C22×Q8—22no—
390C22×Q8—22no—
391C22×Q8—22no—
392C22×Q8—42no—
393C23×C4—24no—
394C23×C4—22no—
395C23×C4—22no—
396C23×C4—42no—
397C23×C4D4×C14914yes—
398C23×C4C23×C14911yescharacteristic
399C23×C4C23×C14912yes—
400C23×C4C23×C14911yescharacteristic
401C23×C4C23×C14912yes—
402C23×C4C23×C14912yes—
403C23×C4C23×C14912yes—
404C23×C4C23×C14911yescharacteristic
405C23×C4C23×C14911yescharacteristic
406C23×C4C23×C14911yescharacteristic
407C23×C4C23×C14911yescharacteristic
408C22⋊Q8—232no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4—42no—
424C2×C4⋊C4D4×C14918yes—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—42no—
434C2×C22⋊C4—42no—
435C2×C22⋊C4Q8×C14914yescomplemented
436#95—22no—
437#95—22no—
438#95—22no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—24no—
443#95—42no—
444#95—42no—
445#95—42no—
446#95D4×C14914yes—
447C24—22no—
448C24—21no—
449C24—21no—
450C24—21no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—21no—
455C24C2×D4×C14912yes—
456C24C2×Q8×C14912yes—
457C24#41×C14912yes—
458C24C24×C14911yescharacteristic
459C2×Q8—28no—
460C2×Q8—48no—
461C2×Q8—48no—
462C2×Q8—44no—
463C2×Q8—44no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—28no—
498C22×C4—28no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—44no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4C2×D4×C14914yes—
520C22×C4C2×D4×C14914yes—
521C22×C4C2×D4×C14914yes—
522C22×C4C2×D4×C14912yes—
523C22×C4C2×D4×C14914yes—
524C22×C4C2×D4×C14912yes—
525C22×C4C2×D4×C14912yes—
526C22×C4C2×Q8×C14912yes—
527C22×C4C2×Q8×C14912yes—
528C22×C4#41×C14912yes—
529C4⋊C4—28no—
530C4⋊C4—216no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C22⋊C4—216no—
536C22⋊C4—28no—
537C22⋊C4—48no—
538C22⋊C4—44no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—24no—
546C23—24no—
547C23—22no—
548C23—24no—
549C23—24no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C22⋊Q8×C14914yes—
562C23C22×D4×C14911yescharacteristic
563C23C22×D4×C14912yes—
564C23C22×D4×C14911yescharacteristic
565C23C22×Q8×C14911yescharacteristic
566C23C2×#41×C14911yescharacteristic
567C23C2×#41×C14911yescharacteristic
568C23H(5,𝔽2)×C14912yes—
569C23H(5,𝔽2)×C14911yescharacteristic
570C232−1+4×C14912yes—
571C232−1+4×C14911yescharacteristic
572C232−1+4×C14912yes—
573Q8—416no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—416no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4#120×C14914yes—
634C2×C4#121×C14914yes—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—44no—
639C22—44no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—44no—
645C22—44no—
646C22C2×#120×C14911yescharacteristic
647C22C2×#121×C14911yescharacteristic
648C22C2×C22⋊Q8×C14911yescharacteristic
649C22#534×C14911yescharacteristic
650C22#536×C14912yes—
651C22#536×C14911yescharacteristic
652C22#536×C14911yescharacteristic
653C22#536×C14912yes—
654C22#537×C14912yes—
655C22#537×C14911yescharacteristic
656C22#539×C14912yes—
657C22#541×C14912yes—
658C22#544×C14912yes—
659C22D42×C14912yes—
660C22#546×C14912yes—
661C22#546×C14911yescharacteristic
662C22#548×C14912yes—
663C22D4×Q8×C14912yes—
664C22D4×Q8×C14911yescharacteristic
665C22#552×C14911yescharacteristic
666C22#554×C14911yescharacteristic
667C22#562×C14912yes—
668C22#563×C14912yes—
669C4—24no—
670C4—24no—
671C4—44no—
672C4—42no—
673C4—44no—
674C4—42no—
675C4—44no—
676C4—81no—
677C4—81no—
678C4—82no—
679C2—44no—
680C2#2409×C14911yescharacteristic
681C2#2410×C14911yescharacteristic
682C2#2417×C14911yescharacteristic
683C2#2616×C14911yescharacteristic
684C2#2621×C14911yescharacteristic
685C2#2627×C14911yescharacteristic
686C2#2677×C14912yes—
687C2#2681×C14912yes—
688C2#2690×C14912yes—
689C2#2704×C14912yes—
690C2#2814×C14911yescharacteristic
subgroupG/H
center, socleC24×C149C24
commutator, Frattini, cosocleC24C24×C149
prime radicalC25×C149C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C149 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#398×C149C2semidirect
3. C2×#395×C149C2semidirect
6. #1446×C149C2semidirect
7. #1442×C149C2semidirect
8. #1441×C149C2semidirect
9. #1441×C149C2semidirect
89. C2×C22⋊C4×C149Q8semidirect
345. #16264C149direct (N × H)
346. C149#16264direct (N × H)
348. C2×#398C2×C149semidirect
349. C2×#395C2×C149semidirect
352. #1446C2×C149semidirect
353. #1442C2×C149semidirect
354. #1441C2×C149semidirect
355. #1441C2×C149semidirect
435. C2×C22⋊C4Q8×C149semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊Q8×C1492
C2×#398×C1492
C2×#395×C1492
C2×#385×C1492
C2×#380×C1492
#1446×C1492
#1442×C1492
#1441×C1492
#1440×C1492
#1439×C1492
#16264149