Finite Group Databasebeta

← C2×#26025795 #36724980

Subgroups — C2×#26025795 #36724980

Order 22784.

2074 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26025795C2116yesmaximal, direct product factor
2C2×#19151540C211yesmaximal, characteristic, complemented
3C2×#19151540C211yesmaximal, characteristic, complemented
4C2×#19151533C211yesmaximal, characteristic
5C2×#19151524C211yesmaximal, characteristic
6C2×#19151494C211yesmaximal, characteristic, complemented
7C2×#19151490C211yesmaximal, characteristic
8C2×#19151490C211yesmaximal, characteristic
9C2×#19151489C211yesmaximal, characteristic
10C2×#19151487C211yesmaximal, characteristic
11C2×#19151487C211yesmaximal, characteristic
12C2×#19151483C211yesmaximal, characteristic, complemented
13C2×#19151479C211yesmaximal, characteristic, complemented
14C2×C4×#13083553C211yesmaximal, characteristic, complemented
15C2×#19151449C211yesmaximal, characteristic, complemented
16C2×#387×C89C211yesmaximal, characteristic, complemented
17C22×C4⋊Dic89C2211yescharacteristic
18C22×C4⋊Dic89C2211yescharacteristic
19C22×#13083553C2211yescharacteristic
20C22×#13083553C2211yescharacteristic
21C22×#13083553C2211yescharacteristic
22C22×#13083553C2211yescharacteristic
23C22×#13083553C2211yescharacteristic
24C22×#13083551C2211yescharacteristic
25C22×#13083551C2211yescharacteristic
26C22×#13083551C2211yescharacteristic
27C22×#13083551C2211yescharacteristic
28C22×#13083551C2211yescharacteristic
29C22×#13083551C2211yescharacteristic
30C22×#13083551C2211yescharacteristic
31C22×C4×Dic89C2211yescharacteristic
32C22×C4×Dic89C2211yescharacteristic
33C22×C4×Dic89C2211yescharacteristic
34C22×C4×Dic89C2211yescharacteristic
35#19151540C2218yescomplemented
36#19151540C2218yescomplemented
37#19151533C2218yes—
38#19151524C2218yes—
39#19151494C2218yescomplemented
40#19151490C2218yes—
41#19151490C2218yes—
42#19151489C2218yes—
43#19151487C2218yes—
44#19151487C2218yes—
45#19151483C2218yescomplemented
46#19151479C2218yescomplemented
47C4×#13083553C2218yescomplemented
48#19151449C2218yescomplemented
49C2×#15667919C2211yescharacteristic
50C2×#15667919C2211yescharacteristic
51C2×#15667919C2211yescharacteristic
52C2×#15667919C2211yescharacteristic
53C2×#15667919C2211yescharacteristic
54C2×#15667919C2211yescharacteristic
55C2×#15667919C2211yescharacteristic
56C2×#15667919C2211yescharacteristic
57C2×#15667919C2211yescharacteristic
58C2×#15667919C2211yescharacteristic
59C22×C4⋊C4×C89C2211yescharacteristic
60C22×C4⋊C4×C89C2211yescharacteristic
61C22×C42×C89C2211yescharacteristic
62#387×C89C2218yescomplemented
63C2×#95×C89C2211yescharacteristic
64C2×#95×C89C2211yescharacteristic
65C2×#95×C89C2211yescharacteristic
66C2×#95×C89C2211yescharacteristic
67C24×D89C2311yescharacteristic
68C23×Dic89C2311yescharacteristic
69C23×Dic89C2311yescharacteristic
70C23×Dic89C2311yescharacteristic
71C23×Dic89C2311yescharacteristic
72C23×Dic89C2311yescharacteristic
73C23×Dic89C2311yescharacteristic
74C23×Dic89C2311yescharacteristic
75C2×C4⋊Dic89—24no—
76C2×C4⋊Dic89—24no—
77C2×C4⋊Dic89C2314yes—
78C2×C4⋊Dic89C2314yes—
79C2×#13083553—24no—
80C2×#13083553—24no—
81C2×#13083553—24no—
82C2×#13083553—24no—
83C2×#13083553—24no—
84C2×#13083553C2314yes—
85C2×#13083553C2314yes—
86C2×#13083553C2314yes—
87C2×#13083553C2314yes—
88C2×#13083553C2314yes—
89C2×#13083551—24no—
90C2×#13083551—24no—
91C2×#13083551—24no—
92C2×#13083551—24no—
93C2×#13083551—24no—
94C2×#13083551—42no—
95C2×#13083551—42no—
96C2×#13083551C2314yes—
97C2×#13083551C2314yes—
98C2×#13083551C2314yes—
99C2×#13083551C2314yes—
100C2×#13083551C2314yes—
101C2×#13083551C2314yes—
102C2×#13083551C2314yes—
103C2×C4×Dic89—24no—
104C2×C4×Dic89—24no—
105C2×C4×Dic89—42no—
106C2×C4×Dic89—42no—
107C2×C4×Dic89C2314yes—
108C2×C4×Dic89C2314yes—
109C2×C4×Dic89C2314yes—
110C2×C4×Dic89C2314yes—
111#15667919C2314yes—
112#15667919C2314yes—
113#15667919C2314yes—
114#15667919C2314yes—
115#15667919C2314yes—
116#15667919C2314yes—
117#15667919C2314yes—
118#15667919C2314yes—
119#15667919C2314yes—
120#15667919C2314yes—
121C23×C4×C89C2311yescharacteristic
122C23×C4×C89C2311yescharacteristic
123C23×C4×C89C2311yescharacteristic
124C23×C4×C89C2311yescharacteristic
125C23×C4×C89C2311yescharacteristic
126C23×C4×C89C2311yescharacteristic
127C23×C4×C89C2311yescharacteristic
128C2×C4⋊C4×C89—24no—
129C2×C4⋊C4×C89—42no—
130C2×C4⋊C4×C89C2314yes—
131C2×C4⋊C4×C89C2314yes—
132C2×C42×C89—42no—
133C2×C42×C89C2314yes—
134#95×C89C2314yes—
135#95×C89C2314yes—
136#95×C89C2314yes—
137#95×C89C2314yes—
138C23×D89—22no—
139C23×D89—22no—
140C23×D89—22no—
141C23×D89—22no—
142C23×D89—22no—
143C23×D89—22no—
144C23×D89—22no—
145C23×D89C2412yes—
146C22×Dic89—22no—
147C22×Dic89—22no—
148C22×Dic89—22no—
149C22×Dic89—22no—
150C22×Dic89—22no—
151C22×Dic89—22no—
152C22×Dic89—22no—
153C22×Dic89—22no—
154C22×Dic89—22no—
155C22×Dic89—22no—
156C22×Dic89—22no—
157C22×Dic89—22no—
158C22×Dic89—22no—
159C22×Dic89—22no—
160C22×Dic89—22no—
161C22×Dic89—22no—
162C22×Dic89—22no—
163C22×Dic89—22no—
164C22×Dic89#4114yes—
165C22×Dic89#4114yes—
166C22×Dic89#4114yes—
167C22×Dic89C2412yes—
168C22×Dic89C2412yes—
169C22×Dic89C2412yes—
170C22×Dic89C2412yes—
171C22×Dic89C2412yes—
172C22×Dic89C2412yes—
173C22×Dic89C2412yes—
174C4⋊Dic89—28no—
175C4⋊Dic89—28no—
176#13083553—28no—
177#13083553—28no—
178#13083553—28no—
179#13083553—28no—
180#13083553—28no—
181#13083551—28no—
182#13083551—28no—
183#13083551—28no—
184#13083551—28no—
185#13083551—28no—
186#13083551—44no—
187#13083551—44no—
188C4×Dic89—28no—
189C4×Dic89—28no—
190C4×Dic89—44no—
191C4×Dic89—44no—
192C24×C89C2411yescharacteristic
193C22×C4×C89—22no—
194C22×C4×C89—22no—
195C22×C4×C89—22no—
196C22×C4×C89—22no—
197C22×C4×C89—22no—
198C22×C4×C89—22no—
199C22×C4×C89—22no—
200C22×C4×C89—22no—
201C22×C4×C89—22no—
202C22×C4×C89—22no—
203C22×C4×C89—22no—
204C22×C4×C89—22no—
205C22×C4×C89—22no—
206C22×C4×C89—22no—
207C22×C4×C89—22no—
208C22×C4×C89—22no—
209C22×C4×C89—22no—
210C22×C4×C89—22no—
211C22×C4×C89—22no—
212C22×C4×C89#4114yes—
213C22×C4×C89#4114yes—
214C22×C4×C89C2412yes—
215C22×C4×C89C2412yes—
216C22×C4×C89C2412yes—
217C22×C4×C89C2412yes—
218C22×C4×C89C2412yes—
219C22×C4×C89C2412yes—
220C22×C4×C89C2412yes—
221C4⋊C4×C89—28no—
222C4⋊C4×C89—44no—
223C42×C89—44no—
224C23×C89C2×#4112yes—
225C23×C89C2×#4112yes—
226C23×C89C2×#4112yes—
227C23×C89C2×#4112yes—
228C23×C89C2×#4112yes—
229C23×C89H(5,𝔽2)12yes—
230C23×C892−1+412yes—
231C23×C89C2511yescharacteristic
232C22×D89—22no—
233C22×D89—22no—
234C22×D89—22no—
235C22×D89—22no—
236C22×D89—22no—
237C22×D89—22no—
238C22×D89—22no—
239C22×D89—44no—
240C22×D89—44no—
241C22×D89—44no—
242C22×D89—44no—
243C22×D89—44no—
244C22×D89—44no—
245C22×D89—44no—
246C2×C4×C89—28no—
247C2×C4×C89—28no—
248C2×C4×C89—22no—
249C2×C4×C89—22no—
250C2×C4×C89—22no—
251C2×C4×C89—22no—
252C2×C4×C89—22no—
253C2×C4×C89—22no—
254C2×C4×C89—22no—
255C2×C4×C89—22no—
256C2×C4×C89—22no—
257C2×C4×C89—22no—
258C2×C4×C89—22no—
259C2×C4×C89—22no—
260C2×C4×C89—22no—
261C2×C4×C89—22no—
262C2×C4×C89—22no—
263C2×C4×C89—22no—
264C2×C4×C89—22no—
265C2×C4×C89—22no—
266C2×C4×C89—22no—
267C2×C4×C89—44no—
268C2×C4×C89—44no—
269C2×C4×C89—44no—
270C2×C4×C89—44no—
271C2×C4×C89—44no—
272C2×C4×C89C2×#4114yes—
273C2×C4×C89C2×#4114yes—
274C2×Dic89—28no—
275C2×Dic89—28no—
276C2×Dic89—28no—
277C2×Dic89—22no—
278C2×Dic89—22no—
279C2×Dic89—22no—
280C2×Dic89—22no—
281C2×Dic89—22no—
282C2×Dic89—22no—
283C2×Dic89—22no—
284C2×Dic89—22no—
285C2×Dic89—22no—
286C2×Dic89—22no—
287C2×Dic89—22no—
288C2×Dic89—22no—
289C2×Dic89—22no—
290C2×Dic89—22no—
291C2×Dic89—22no—
292C2×Dic89—22no—
293C2×Dic89—22no—
294C2×Dic89—22no—
295C2×Dic89—44no—
296C2×Dic89—44no—
297C2×Dic89—44no—
298C2×Dic89—44no—
299C2×Dic89C2×#4114yes—
300C2×Dic89C2×#4114yes—
301C2×Dic89C2×#4114yes—
302C22×C89#52914yes—
303C22×C89#52914yes—
304C22×C89#53914yes—
305C22×C89#55214yes—
306C22×C89#55314yes—
307C22×C89#55614yes—
308C22×C89#55914yes—
309C22×C89C22×#4111yescharacteristic
310C22×C89C22×#4111yescharacteristic
311C22×C89C22×#4111yescharacteristic
312C22×C89C22×#4111yescharacteristic
313C22×C89C22×#4111yescharacteristic
314C22×C89C2×H(5,𝔽2)11yescharacteristic
315C22×C89C2×2−1+411yescharacteristic
316C2×D89—42no—
317C2×D89—42no—
318C2×D89—42no—
319C2×D89—42no—
320C2×D89—42no—
321C2×D89—42no—
322C2×D89—42no—
323C2×D89—88no—
324C4×C89—24no—
325C4×C89—24no—
326C4×C89—42no—
327C4×C89—42no—
328C4×C89—42no—
329C4×C89—42no—
330C4×C89—42no—
331Dic89—24no—
332Dic89—24no—
333Dic89—24no—
334Dic89—42no—
335Dic89—42no—
336Dic89—42no—
337Dic89—42no—
338C2×#2596—891nomaximal, Sylow
339C2×C89#259618yescomplemented
340C2×C89C2×#52911yescharacteristic
341C2×C89C2×#52911yescharacteristic
342C2×C89C2×#53911yescharacteristic
343C2×C89C2×#55211yescharacteristic
344C2×C89C2×#55311yescharacteristic
345C2×C89C2×#55611yescharacteristic
346C2×C89C2×#55911yescharacteristic
347D89—82no—
348#2596—8916no—
349C2×#400—891no—
350C2×#400—891no—
351C2×#399—891no—
352C2×#397—891no—
353C2×#389—891no—
354C2×#388—891no—
355C2×#388—891no—
356C2×#388—891no—
357C2×#388—891no—
358C2×#388—891no—
359C2×#387—891no—
360C2×#387—891no—
361C2×#387D8911yescharacteristic, complemented
362C2×C4×C4⋊C4—891no—
363C2×C4×C4⋊C4—891no—
364C89C2×#259611yescharacteristic, complemented, Sylow
365C22×C4⋊C4—891no—
366C22×C4⋊C4—891no—
367C22×C4⋊C4—891no—
368C22×C4⋊C4—891no—
369C22×C4⋊C4—891no—
370C22×C4⋊C4—891no—
371C22×C4⋊C4—891no—
372C22×C4⋊C4C2×D8911yescharacteristic
373C22×C4⋊C4C2×D8911yescharacteristic
374C22×C22⋊C4—891no—
375C22×C22⋊C4—891no—
376C22×C22⋊C4—891no—
377C22×C22⋊C4—891no—
378C22×C22⋊C4—891no—
379C22×C22⋊C4—891no—
380C22×C22⋊C4—891no—
381C22×C42—891no—
382C22×C42—891no—
383C22×C42—891no—
384C22×C42—891no—
385C22×C42C2×D8911yescharacteristic
386#400—898no—
387#400—898no—
388#399—898no—
389#397—898no—
390#389—898no—
391#388—898no—
392#388—898no—
393#388—898no—
394#388—898no—
395#388—898no—
396#387—898no—
397#387—898no—
398#387C2×D8918yescomplemented
399C4×C4⋊C4—898no—
400C4×C4⋊C4—898no—
401C2×#95—891no—
402C2×#95—891no—
403C2×#95—891no—
404C2×#95—891no—
405C2×#95—891no—
406C2×#95—891no—
407C2×#95—891no—
408C2×#95—891no—
409C2×#95—891no—
410C2×#95—891no—
411C2×#95C2×D8911yescharacteristic
412C2×#95C2×D8911yescharacteristic
413C2×#95C2×D8911yescharacteristic
414C2×#95C2×D8911yescharacteristic
415C25—891no—
416C23×C4—891no—
417C23×C4—891no—
418C23×C4—891no—
419C23×C4—891no—
420C23×C4—891no—
421C23×C4—891no—
422C23×C4—891no—
423C23×C4C22×D8911yescharacteristic
424C23×C4C22×D8911yescharacteristic
425C23×C4C22×D8911yescharacteristic
426C23×C4C22×D8911yescharacteristic
427C23×C4C22×D8911yescharacteristic
428C23×C4C22×D8911yescharacteristic
429C23×C4C22×D8911yescharacteristic
430C2×C4⋊C4—24no—
431C2×C4⋊C4—42no—
432C2×C4⋊C4—894no—
433C2×C4⋊C4—894no—
434C2×C4⋊C4—894no—
435C2×C4⋊C4—894no—
436C2×C4⋊C4—894no—
437C2×C4⋊C4—894no—
438C2×C4⋊C4—894no—
439C2×C4⋊C4—1784no—
440C2×C4⋊C4—1784no—
441C2×C4⋊C4—1784no—
442C2×C4⋊C4—1784no—
443C2×C4⋊C4—1784no—
444C2×C4⋊C4—1784no—
445C2×C4⋊C4—1784no—
446C2×C4⋊C4C22×D8914yes—
447C2×C4⋊C4C22×D8914yes—
448C2×C22⋊C4—894no—
449C2×C22⋊C4—894no—
450C2×C22⋊C4—894no—
451C2×C22⋊C4—894no—
452C2×C22⋊C4—894no—
453C2×C22⋊C4—894no—
454C2×C22⋊C4—894no—
455C2×C22⋊C4—3562no—
456C2×C22⋊C4—3562no—
457C2×C22⋊C4—1784no—
458C2×C22⋊C4—1784no—
459C2×C22⋊C4—1784no—
460C2×C22⋊C4—1784no—
461C2×C22⋊C4—1784no—
462C2×C42—42no—
463C2×C42—894no—
464C2×C42—894no—
465C2×C42—894no—
466C2×C42—894no—
467C2×C42—3562no—
468C2×C42—3562no—
469C2×C42—1784no—
470C2×C42—1784no—
471C2×C42C22×D8914yes—
472#95—894no—
473#95—894no—
474#95—894no—
475#95—894no—
476#95—894no—
477#95—894no—
478#95—894no—
479#95—894no—
480#95—894no—
481#95—894no—
482#95C22×D8914yes—
483#95C22×D8914yes—
484#95C22×D8914yes—
485#95C22×D8914yes—
486C24—892no—
487C24—1782no—
488C24—1782no—
489C24—1782no—
490C24—1782no—
491C24—1782no—
492C24—1782no—
493C24—1782no—
494C24C23×D8911yescharacteristic
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—894no—
515C22×C4—894no—
516C22×C4—894no—
517C22×C4—892no—
518C22×C4—892no—
519C22×C4—892no—
520C22×C4—892no—
521C22×C4—892no—
522C22×C4—892no—
523C22×C4—892no—
524C22×C4—1782no—
525C22×C4—1782no—
526C22×C4—1782no—
527C22×C4—1782no—
528C22×C4—1782no—
529C22×C4—1782no—
530C22×C4—1782no—
531C22×C4—1782no—
532C22×C4—1782no—
533C22×C4—1782no—
534C22×C4—1782no—
535C22×C4—1782no—
536C22×C4—1782no—
537C22×C4—1782no—
538C22×C4—1782no—
539C22×C4—1782no—
540C22×C4—1782no—
541C22×C4—1782no—
542C22×C4#1308357414yes—
543C22×C4#1308357514yes—
544C22×C4C23×D8912yes—
545C22×C4C23×D8912yes—
546C22×C4C23×D8912yes—
547C22×C4C23×D8912yes—
548C22×C4C23×D8912yes—
549C22×C4C23×D8912yes—
550C22×C4C23×D8912yes—
551C4⋊C4—28no—
552C4⋊C4—44no—
553C4⋊C4—1788no—
554C4⋊C4—1788no—
555C4⋊C4—1788no—
556C4⋊C4—1788no—
557C4⋊C4—1788no—
558C4⋊C4—1788no—
559C4⋊C4—1788no—
560C22⋊C4—3564no—
561C22⋊C4—3564no—
562C22⋊C4—1788no—
563C22⋊C4—1788no—
564C22⋊C4—1788no—
565C22⋊C4—1788no—
566C22⋊C4—1788no—
567C42—44no—
568C42—3564no—
569C42—3564no—
570C42—1788no—
571C42—1788no—
572C23—3564no—
573C23—3564no—
574C23—3564no—
575C23—3564no—
576C23—3564no—
577C23—3564no—
578C23—3564no—
579C23—1782no—
580C23—1782no—
581C23—1782no—
582C23—1782no—
583C23—1782no—
584C23—1782no—
585C23—1782no—
586C23#41×D8912yes—
587C23#41×D8912yes—
588C23#41×D8912yes—
589C23C2×#1308357412yes—
590C23C2×#1308357512yes—
591C23#1566805712yes—
592C23#1566805912yes—
593C23C24×D8911yescharacteristic
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—28no—
599C2×C4—28no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—894no—
621C2×C4—894no—
622C2×C4—894no—
623C2×C4—3564no—
624C2×C4—3564no—
625C2×C4—3564no—
626C2×C4—3564no—
627C2×C4—1782no—
628C2×C4—1782no—
629C2×C4—1782no—
630C2×C4—1782no—
631C2×C4—1782no—
632C2×C4—1782no—
633C2×C4—1782no—
634C2×C4—1782no—
635C2×C4—1782no—
636C2×C4—1782no—
637C2×C4—1782no—
638C2×C4—1782no—
639C2×C4—1788no—
640C2×C4—1788no—
641C2×C4—1782no—
642C2×C4—1782no—
643C2×C4—1782no—
644C2×C4—1782no—
645C2×C4—1782no—
646C2×C4—1782no—
647C2×C4—1788no—
648C2×C4C2×#1308357414yes—
649C2×C4C2×#1308357514yes—
650C22—3562no—
651C22—3562no—
652C22—3562no—
653C22—3562no—
654C22—3562no—
655C22—3562no—
656C22—3562no—
657C22—7128no—
658C22#1915213314yes—
659C22#1915213514yes—
660C22#1915219714yes—
661C22#1915228114yes—
662C22#1915229814yes—
663C22#1915231514yes—
664C22#1915233214yes—
665C22C2×#41×D8911yescharacteristic
666C22C2×#41×D8911yescharacteristic
667C22C2×#41×D8911yescharacteristic
668C22C22×#1308357411yescharacteristic
669C22C22×#1308357511yescharacteristic
670C22C2×#1566805711yescharacteristic
671C22C2×#1566805911yescharacteristic
672C4—24no—
673C4—24no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—3562no—
680C4—3562no—
681C4—3562no—
682C4—3562no—
683C4—1784no—
684C4—1784no—
685C4—1784no—
686C2—7122no—
687C2#2602579518yesdirect product factor
688C2C2×#1915213311yescharacteristic
689C2C2×#1915213511yescharacteristic
690C2C2×#1915219711yescharacteristic
691C2C2×#1915228111yescharacteristic
692C2C2×#1915229811yescharacteristic
693C2C2×#1915231511yescharacteristic
694C2C2×#1915233211yescharacteristic
subgroupG/H
centerC24C23×D89
commutator, cosocleC23×C89C25
FrattiniC23C24×D89
FittingC2×#387×C89C2
socleC24×C89C24
prime radicalC24×D89C23
hypercenterC2×#387D89
hypocenterC89C2×#2596
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #26025795C2direct (N × H)
2. C2×#19151540C2semidirect
3. C2×#19151540C2semidirect
6. C2×#19151494C2semidirect
12. C2×#19151483C2semidirect
13. C2×#19151479C2semidirect
14. C2×C4×#13083553C2semidirect
15. C2×#19151449C2semidirect
16. C2×#387×C89C2semidirect
35. #19151540C22semidirect
36. #19151540C22semidirect
39. #19151494C22semidirect
45. #19151483C22semidirect
46. #19151479C22semidirect
47. C4×#13083553C22semidirect
48. #19151449C22semidirect
62. #387×C89C22semidirect
339. C2×C89#2596semidirect
361. C2×#387D89semidirect
364. C89C2×#2596semidirect
398. #387C2×D89semidirect
687. C2#26025795direct (N × H)

Maximal subgroups

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

subgroupindex
#260257952
C2×#191515402
C2×#191515332
C2×#191515242
C2×#191514942
C2×#191514902
C2×#191514892
C2×#191514872
C2×#191514832
C2×#191514792
C2×C4×#130835532
C2×#191514492
C2×#387×C892
C2×#259689