Finite Group Databasebeta

← C2×#26024636 #36723397

Subgroups — C2×#26024636 #36723397

Order 22784.

2398 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26024636C2116yesmaximal, direct product factor
2C2×C89⋊#401C211yesmaximal, characteristic, complemented
3C2×#19151540C211yesmaximal, characteristic, complemented
4C2×#19151538C211yesmaximal, characteristic, complemented
5C2×#19151536C211yesmaximal, characteristic, complemented
6C2×#19151485C211yesmaximal, characteristic, complemented
7C2×#19151484C211yesmaximal, characteristic, complemented
8C2×#19151472C211yesmaximal, characteristic
9C2×#19151469C211yesmaximal, characteristic
10C2×#19151466C211yesmaximal, characteristic, complemented
11C2×#19151460C211yesmaximal, characteristic
12C2×#19151460C211yesmaximal, characteristic
13C2×#19151455C211yesmaximal, characteristic
14C2×C4×#13083551C211yesmaximal, characteristic
15C2×#95×D89C211yesmaximal, characteristic
16C2×#387×C89C211yesmaximal, characteristic, complemented
17C23×C4×D89C2211yescharacteristic
18C23×C4×D89C2211yescharacteristic
19C23×C4×D89C2211yescharacteristic
20C22×C4⋊Dic89C2211yescharacteristic
21C22×C4⋊Dic89C2211yescharacteristic
22C22×#13083553C2211yescharacteristic
23C22×#13083553C2211yescharacteristic
24C22×#13083551C2211yescharacteristic
25C22×#13083551C2211yescharacteristic
26C22×#13083551C2211yescharacteristic
27C22×#13083551C2211yescharacteristic
28C22×C4×Dic89C2211yescharacteristic
29C89⋊#401C2218yescomplemented
30#19151540C2218yescomplemented
31#19151538C2218yescomplemented
32#19151536C2218yescomplemented
33#19151485C2218yescomplemented
34#19151484C2218yescomplemented
35#19151472C2218yes—
36#19151469C2218yes—
37#19151466C2218yescomplemented
38#19151460C2218yes—
39#19151460C2218yes—
40#19151455C2218yes—
41C4×#13083551C2218yes—
42C2×#15667919C2211yescharacteristic
43C2×#15667919C2211yescharacteristic
44C2×#15667919C2211yescharacteristic
45C2×#15667919C2211yescharacteristic
46C2×#15667919C2211yescharacteristic
47C2×#15667919C2211yescharacteristic
48C2×#15667919C2211yescharacteristic
49C2×#15667919C2211yescharacteristic
50C2×#15667919C2211yescharacteristic
51C2×#15667919C2211yescharacteristic
52C2×#15667919C2211yescharacteristic
53C2×#15667919C2211yescharacteristic
54C2×#15667919C2211yescharacteristic
55C2×#15667919C2211yescharacteristic
56C2×#15667919C2211yescharacteristic
57C2×#15667919C2211yescharacteristic
58#95×D89C2218yes—
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
75C22×C4×D89—24no—
76C22×C4×D89—24no—
77C22×C4×D89—24no—
78C22×C4×D89—24no—
79C22×C4×D89—24no—
80C22×C4×D89—24no—
81C22×C4×D89—24no—
82C22×C4×D89—42no—
83C22×C4×D89—42no—
84C22×C4×D89C2314yes—
85C22×C4×D89C2314yes—
86C22×C4×D89C2314yes—
87C2×C4⋊Dic89—42no—
88C2×C4⋊Dic89—42no—
89C2×C4⋊Dic89C2314yes—
90C2×C4⋊Dic89C2314yes—
91C2×#13083553—24no—
92C2×#13083553—42no—
93C2×#13083553C2314yes—
94C2×#13083553C2314yes—
95C2×#13083551—24no—
96C2×#13083551—24no—
97C2×#13083551—24no—
98C2×#13083551—24no—
99C2×#13083551C2314yes—
100C2×#13083551C2314yes—
101C2×#13083551C2314yes—
102C2×#13083551C2314yes—
103C2×C4×Dic89—42no—
104C2×C4×Dic89C2314yes—
105#15667919C2314yes—
106#15667919C2314yes—
107#15667919C2314yes—
108#15667919C2314yes—
109#15667919C2314yes—
110#15667919C2314yes—
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—24no—
130C2×C4⋊C4×C89C2314yes—
131C2×C4⋊C4×C89C2314yes—
132C2×C42×C89—24no—
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#4114yes—
143C23×D89#4114yes—
144C23×D89#4114yes—
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—22no—
165C22×Dic89—22no—
166C22×Dic89—22no—
167C22×Dic89C2412yes—
168C22×Dic89C2412yes—
169C22×Dic89C2412yes—
170C22×Dic89C2412yes—
171C22×Dic89C2412yes—
172C22×Dic89C2412yes—
173C22×Dic89C2412yes—
174C2×C4×D89—28no—
175C2×C4×D89—28no—
176C2×C4×D89—28no—
177C2×C4×D89—28no—
178C2×C4×D89—28no—
179C2×C4×D89—28no—
180C2×C4×D89—28no—
181C2×C4×D89—44no—
182C2×C4×D89—44no—
183C2×C4×D89—416no—
184C2×C4×D89—416no—
185C2×C4×D89—416no—
186C4⋊Dic89—44no—
187C4⋊Dic89—44no—
188#13083553—28no—
189#13083553—44no—
190#13083551—28no—
191#13083551—28no—
192#13083551—28no—
193#13083551—28no—
194C4×Dic89—44no—
195C24×C89C2411yescharacteristic
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—22no—
213C22×C4×C89—22no—
214C22×C4×C89—22no—
215C22×C4×C89#4114yes—
216C22×C4×C89#4114yes—
217C22×C4×C89C2412yes—
218C22×C4×C89C2412yes—
219C22×C4×C89C2412yes—
220C22×C4×C89C2412yes—
221C22×C4×C89C2412yes—
222C22×C4×C89C2412yes—
223C22×C4×C89C2412yes—
224C4⋊C4×C89—28no—
225C4⋊C4×C89—28no—
226C42×C89—28no—
227C23×C89C2×#4112yes—
228C23×C89C2×#4112yes—
229C23×C89C2×#4112yes—
230C23×C89C2×#4112yes—
231C23×C89C2×#4112yes—
232C23×C89H(5,𝔽2)12yes—
233C23×C892−1+412yes—
234C23×C89C2511yescharacteristic
235C22×D89—28no—
236C22×D89—28no—
237C22×D89—28no—
238C22×D89—28no—
239C22×D89—28no—
240C22×D89—28no—
241C22×D89—22no—
242C22×D89—22no—
243C22×D89—22no—
244C22×D89—22no—
245C22×D89#126116yes—
246C22×D89C2×#4114yes—
247C22×D89C2×#4114yes—
248C22×D89C2×#4114yes—
249C2×C4×C89—28no—
250C2×C4×C89—28no—
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—22no—
268C2×C4×C89—22no—
269C2×C4×C89—22no—
270C2×C4×C89—44no—
271C2×C4×C89—44no—
272C2×C4×C89—44no—
273C2×C4×C89—44no—
274C2×C4×C89—44no—
275C2×C4×C89C2×#4114yes—
276C2×C4×C89C2×#4114yes—
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—22no—
296C2×Dic89—22no—
297C2×Dic89—22no—
298C2×Dic89—44no—
299C2×Dic89—44no—
300C2×Dic89—44no—
301C2×Dic89—44no—
302C2×Dic89—44no—
303C2×Dic89—44no—
304C2×Dic89—44no—
305C4×D89—416no—
306C4×D89—416no—
307C4×D89—416no—
308C22×C89C2×#12614yes—
309C22×C89#52914yes—
310C22×C89#53914yes—
311C22×C89#55114yes—
312C22×C89#55114yes—
313C22×C89#55214yes—
314C22×C89#55214yes—
315C22×C89C22×#4111yescharacteristic
316C22×C89C22×#4111yescharacteristic
317C22×C89C22×#4111yescharacteristic
318C22×C89C22×#4111yescharacteristic
319C22×C89C22×#4111yescharacteristic
320C22×C89C2×H(5,𝔽2)11yescharacteristic
321C22×C89C2×2−1+411yescharacteristic
322C2×D89—24no—
323C2×D89—24no—
324C2×D89—24no—
325C2×D89—24no—
326C2×D89—24no—
327C2×D89—24no—
328C2×D89—232no—
329C2×D89C2×#12618yes—
330C4×C89—24no—
331C4×C89—24no—
332C4×C89—42no—
333C4×C89—42no—
334C4×C89—42no—
335C4×C89—42no—
336C4×C89—42no—
337Dic89—42no—
338Dic89—42no—
339Dic89—42no—
340Dic89—42no—
341Dic89—42no—
342Dic89—42no—
343Dic89—42no—
344C2×#2493—891nomaximal, Sylow
345C2×C89#249318yescomplemented
346C2×C89C22×#12611yescharacteristic
347C2×C89C2×#52911yescharacteristic
348C2×C89C2×#53911yescharacteristic
349C2×C89C2×#55111yescharacteristic
350C2×C89C2×#55111yescharacteristic
351C2×C89C2×#55211yescharacteristic
352C2×C89C2×#55211yescharacteristic
353D89—28no—
354#2493—8916no—
355C2×#401—891no—
356C2×#400—891no—
357C2×#400—891no—
358C2×#400—891no—
359C2×#387—891no—
360C2×#387—891no—
361C2×#387D8911yescharacteristic, complemented
362C2×#385—891no—
363C2×#385—891no—
364C2×#383—891no—
365C2×#381—891no—
366C2×#381—891no—
367C2×#380—891no—
368C2×C4×C22⋊C4—891no—
369C22×#95—891no—
370C89C2×#249311yescharacteristic, complemented, Sylow
371C24×C4—891no—
372C24×C4—891no—
373C24×C4—891no—
374C22×C4⋊C4—891no—
375C22×C4⋊C4—891no—
376C22×C4⋊C4—891no—
377C22×C4⋊C4—891no—
378C22×C4⋊C4C2×D8911yescharacteristic
379C22×C4⋊C4C2×D8911yescharacteristic
380C22×C22⋊C4—891no—
381C22×C22⋊C4—891no—
382C22×C22⋊C4—891no—
383C22×C22⋊C4—891no—
384C22×C42—891no—
385C22×C42C2×D8911yescharacteristic
386#401—898no—
387#400—898no—
388#400—898no—
389#400—898no—
390#387—898no—
391#387—898no—
392#387C2×D8918yescomplemented
393#385—898no—
394#385—898no—
395#383—898no—
396#381—898no—
397#381—898no—
398#380—898no—
399C4×C22⋊C4—898no—
400C2×#95—891no—
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×#95—891no—
412C2×#95—891no—
413C2×#95—891no—
414C2×#95—891no—
415C2×#95—891no—
416C2×#95—898no—
417C2×#95C2×D8911yescharacteristic
418C2×#95C2×D8911yescharacteristic
419C2×#95C2×D8911yescharacteristic
420C2×#95C2×D8911yescharacteristic
421C25—891no—
422C23×C4—891no—
423C23×C4—891no—
424C23×C4—891no—
425C23×C4—891no—
426C23×C4—891no—
427C23×C4—891no—
428C23×C4—891no—
429C23×C4—894no—
430C23×C4—894no—
431C23×C4—894no—
432C23×C4—3562no—
433C23×C4—3562no—
434C23×C4—1784no—
435C23×C4—1784no—
436C23×C4—1784no—
437C23×C4—1784no—
438C23×C4—1784no—
439C23×C4—1784no—
440C23×C4—1784no—
441C23×C4C22×D8911yescharacteristic
442C23×C4C22×D8911yescharacteristic
443C23×C4C22×D8911yescharacteristic
444C23×C4C22×D8911yescharacteristic
445C23×C4C22×D8911yescharacteristic
446C23×C4C22×D8911yescharacteristic
447C23×C4C22×D8911yescharacteristic
448C2×C4⋊C4—24no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—894no—
451C2×C4⋊C4—894no—
452C2×C4⋊C4—894no—
453C2×C4⋊C4—894no—
454C2×C4⋊C4—3562no—
455C2×C4⋊C4—3562no—
456C2×C4⋊C4—3562no—
457C2×C4⋊C4—1784no—
458C2×C4⋊C4C22×D8914yes—
459C2×C4⋊C4C22×D8914yes—
460C2×C22⋊C4—894no—
461C2×C22⋊C4—894no—
462C2×C22⋊C4—894no—
463C2×C22⋊C4—894no—
464C2×C22⋊C4—1784no—
465C2×C22⋊C4—1784no—
466C2×C22⋊C4—1784no—
467C2×C22⋊C4—1784no—
468C2×C42—24no—
469C2×C42—894no—
470C2×C42—3562no—
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#95—894no—
483#95—894no—
484#95—894no—
485#95—894no—
486#95—894no—
487#95—894no—
488#95C22×D8914yes—
489#95C22×D8914yes—
490#95C22×D8914yes—
491#95C22×D8914yes—
492C24—894no—
493C24—894no—
494C24—894no—
495C24—892no—
496C24—1782no—
497C24—1782no—
498C24—1782no—
499C24—1782no—
500C24C23×D8911yescharacteristic
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—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—892no—
521C22×C4—892no—
522C22×C4—892no—
523C22×C4—892no—
524C22×C4—892no—
525C22×C4—892no—
526C22×C4—892no—
527C22×C4—35616no—
528C22×C4—35616no—
529C22×C4—3564no—
530C22×C4—3564no—
531C22×C4—35616no—
532C22×C4—1788no—
533C22×C4—1788no—
534C22×C4—1788no—
535C22×C4—1788no—
536C22×C4—1788no—
537C22×C4—1782no—
538C22×C4—1782no—
539C22×C4—1782no—
540C22×C4—1782no—
541C22×C4—1782no—
542C22×C4—1782no—
543C22×C4—1782no—
544C22×C4—1782no—
545C22×C4—1782no—
546C22×C4—1782no—
547C22×C4—1782no—
548C22×C4—1782no—
549C22×C4—1782no—
550C22×C4—1782no—
551C22×C4—1782no—
552C22×C4—1782no—
553C22×C4—1782no—
554C22×C4—1782no—
555C22×C4—1782no—
556C22×C4—1782no—
557C22×C4—1782no—
558C22×C4—1788no—
559C22×C4—1788no—
560C22×C4#1308357314yes—
561C22×C4#1308357414yes—
562C22×C4C23×D8912yes—
563C22×C4C23×D8912yes—
564C22×C4C23×D8912yes—
565C22×C4C23×D8912yes—
566C22×C4C23×D8912yes—
567C22×C4C23×D8912yes—
568C22×C4C23×D8912yes—
569C4⋊C4—28no—
570C4⋊C4—28no—
571C4⋊C4—3564no—
572C4⋊C4—3564no—
573C4⋊C4—3564no—
574C4⋊C4—1788no—
575C22⋊C4—1788no—
576C22⋊C4—1788no—
577C22⋊C4—1788no—
578C22⋊C4—1788no—
579C42—28no—
580C42—3564no—
581C23—894no—
582C23—894no—
583C23—894no—
584C23—8916no—
585C23—1788no—
586C23—1782no—
587C23—1782no—
588C23—1782no—
589C23—1782no—
590C23—1788no—
591C23—1788no—
592C23—1788no—
593C23—1788no—
594C23—1788no—
595C23#41×D8912yes—
596C23#41×D8912yes—
597C23#41×D8912yes—
598C23C2×#1308357312yes—
599C23C2×#1308357412yes—
600C23#1566805812yes—
601C23#1566806012yes—
602C23C24×D8911yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—28no—
608C2×C4—28no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—35616no—
630C2×C4—35616no—
631C2×C4—35616no—
632C2×C4—3564no—
633C2×C4—3564no—
634C2×C4—3564no—
635C2×C4—3564no—
636C2×C4—3564no—
637C2×C4—3564no—
638C2×C4—3564no—
639C2×C4—1782no—
640C2×C4—1782no—
641C2×C4—1782no—
642C2×C4—1782no—
643C2×C4—1782no—
644C2×C4—1782no—
645C2×C4—1782no—
646C2×C4—1782no—
647C2×C4—1782no—
648C2×C4—1782no—
649C2×C4—1782no—
650C2×C4—1782no—
651C2×C4—1782no—
652C2×C4—1782no—
653C2×C4—1782no—
654C2×C4—1782no—
655C2×C4—1782no—
656C2×C4—1782no—
657C2×C4—1782no—
658C2×C4—1782no—
659C2×C4—1782no—
660C2×C4C2×#1308357314yes—
661C2×C4C2×#1308357414yes—
662C22—898no—
663C22—1784no—
664C22—1784no—
665C22—1784no—
666C22—1784no—
667C22—1784no—
668C22—17832no—
669C22—1784no—
670C22#126×D8914yes—
671C22#1915213014yes—
672C22#1915219614yes—
673C22#1915227114yes—
674C22#1915227214yes—
675C22#1915228214yes—
676C22#1915228914yes—
677C22C2×#41×D8911yescharacteristic
678C22C2×#41×D8911yescharacteristic
679C22C2×#41×D8911yescharacteristic
680C22C22×#1308357311yescharacteristic
681C22C22×#1308357411yescharacteristic
682C22C2×#1566805811yescharacteristic
683C22C2×#1566806011yescharacteristic
684C4—24no—
685C4—24no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—3562no—
692C4—3562no—
693C4—3562no—
694C4—3562no—
695C4—3562no—
696C4—3562no—
697C4—3562no—
698C2—1788no—
699C2#2602463618yesdirect product factor
700C2C2×#126×D8911yescharacteristic
701C2C2×#1915213011yescharacteristic
702C2C2×#1915219611yescharacteristic
703C2C2×#1915227111yescharacteristic
704C2C2×#1915227211yescharacteristic
705C2C2×#1915228211yescharacteristic
706C2C2×#1915228911yescharacteristic
subgroupG/H
centerC24C23×D89
commutator, cosocleC23×C89C25
FrattiniC23C24×D89
FittingC2×#387×C89C2
socleC24×C89C24
prime radicalC24×D89C23
hypercenterC2×#387D89
hypocenterC89C2×#2493
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #26024636C2direct (N × H)
2. C2×C89⋊#401C2semidirect
3. C2×#19151540C2semidirect
4. C2×#19151538C2semidirect
5. C2×#19151536C2semidirect
6. C2×#19151485C2semidirect
7. C2×#19151484C2semidirect
10. C2×#19151466C2semidirect
16. C2×#387×C89C2semidirect
29. C89⋊#401C22semidirect
30. #19151540C22semidirect
31. #19151538C22semidirect
32. #19151536C22semidirect
33. #19151485C22semidirect
34. #19151484C22semidirect
37. #19151466C22semidirect
62. #387×C89C22semidirect
345. C2×C89#2493semidirect
361. C2×#387D89semidirect
370. C89C2×#2493semidirect
392. #387C2×D89semidirect
699. C2#26024636direct (N × H)

Maximal subgroups

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

subgroupindex
#260246362
C2×C89⋊#4012
C2×#191515402
C2×#191515382
C2×#191515362
C2×#191514852
C2×#191514842
C2×#191514722
C2×#191514692
C2×#191514662
C2×#191514602
C2×#191514552
C2×C4×#130835512
C2×#95×D892
C2×#387×C892
C2×#249389