Finite Group Databasebeta

← #36715067

Subgroups — #36715067

Order 22784.

2726 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152109C211yesmaximal, characteristic
2#26023332C212yesmaximal, complemented
3#26023299C212yesmaximal, complemented
4#26023231C214yesmaximal, complemented
5#26023220C212yesmaximal, complemented
6#26023189C212yesmaximal, complemented
7#26023114C212yesmaximal, complemented
8#26023076C212yesmaximal, complemented
9#26023014C212yesmaximal, complemented
10#26023005C212yesmaximal, complemented
11#26022886C212yesmaximal, complemented
12#26022769C214yesmaximal, complemented
13#26022610C212yesmaximal, complemented
14C2×C4×C22⋊Dic89C211yesmaximal, characteristic, complemented
15C2×#381×C89C211yesmaximal, characteristic, complemented
16C22×#13083574C2211yescharacteristic
17#19152109C4116yescomplemented
18C2×#15667995C2212yes—
19C2×#15667991C2211yescharacteristic
20C2×#15667991C2211yescharacteristic
21C2×#15667986C2211yescharacteristic
22C2×#15667986C2211yescharacteristic
23C2×#15667981C2212yes—
24C2×C4×C22⋊D89C2214yes—
25C2×C4×C22⋊D89C2212yes—
26C2×C4×C22⋊D89C2212yes—
27C2×#15667972C2214yes—
28C2×#15667971C2211yescharacteristic
29C22×C22⋊Dic89C2212yes—
30C22×C4×Dic89C2212yes—
31#19151502C2214yescomplemented
32#19151498C2214yes—
33#19151492C2214yes—
34#19151487C2214yescomplemented
35#19151487C2214yescomplemented
36#19151486C2214yes—
37#19151483C2214yescomplemented
38#19151481C2214yescomplemented
39#19151480C2214yescomplemented
40#19151480C2214yescomplemented
41#19151477C2214yes—
42#19151476C2214yescomplemented
43#19151475C2214yes—
44#19151474C2214yes—
45#19151471C2214yes—
46#19151470C2214yes—
47#19151465C2212yescomplemented
48#19151462C2212yescomplemented
49#19151460C2212yescomplemented
50#19151457C2212yescomplemented
51#19151449C2214yescomplemented
52#19151449C2212yescomplemented
53#19151449C2214yescomplemented
54C22⋊C4×Dic89C2214yes—
55C4×C22⋊Dic89C2212yes—
56C4×C22⋊Dic89C2214yes—
57C4×C22⋊Dic89C2212yes—
58C4×C22⋊Dic89C2212yes—
59C4×C22⋊Dic89C2211yescharacteristic
60C4×C22⋊Dic89C2211yescharacteristic
61#19151445C2214yescomplemented
62#19151445C2212yescomplemented
63#19151445C2214yescomplemented
64#19151443C2212yescomplemented
65C2×#15667919C2212yes—
66#95×D89C2212yescomplemented
67C24×C4×C89C2211yescharacteristic
68C22×C22⋊C4×C89C2212yes—
69#381×C89C2211yescharacteristic
70#381×C89C2211yescharacteristic
71#381×C89C2212yes—
72#381×C89C2212yes—
73#381×C89C2212yes—
74C2×#95×C89C2212yes—
75C2×#95×C89C2212yes—
76C2×#13083574—44no—
77C2×#13083574C2×C418yescomplemented
78C22×Dic178C2311yescharacteristic
79C22×D356C2311yescharacteristic
80C22×C22⋊D89C2312yes—
81C22×C22⋊D89C2312yes—
82C22×C22⋊D89C2312yes—
83C23×Dic89C2314yes—
84C22×C4×D89C2314yes—
85C22×C4×D89C2312yes—
86#15667995C2×C4116yescomplemented
87#15667991C2×C418yescomplemented
88#15667991C2×C418yescomplemented
89#15667986C2×C418yescomplemented
90#15667986C2×C418yescomplemented
91#15667981C2×C4116yescomplemented
92C4×C22⋊D89—216no—
93C4×C22⋊D89C2×C4116yescomplemented
94C4×C22⋊D89C2×C4116yescomplemented
95#15667972—48no—
96#15667971C2×C418yescomplemented
97C2×C4⋊Dic89C2311yescharacteristic
98C2×C4⋊Dic89C2311yescharacteristic
99C2×#13083553C2314yes—
100C2×#13083553C2314yes—
101C2×#13083553C2314yes—
102C2×#13083553C2312yes—
103C2×#13083553C2312yes—
104C2×C22⋊Dic89—28no—
105C2×C22⋊Dic89C2312yes—
106C2×C22⋊Dic89C2314yes—
107C2×C22⋊Dic89C2312yes—
108C2×C22⋊Dic89C2312yes—
109C2×C22⋊Dic89C2312yes—
110C2×C22⋊Dic89C2312yes—
111C2×#13083551C2314yes—
112C2×#13083551C2314yes—
113C2×#13083551C2314yes—
114C2×#13083551C2312yes—
115C2×#13083551C2312yes—
116C2×C4×Dic89—44no—
117C2×C4×Dic89C2314yes—
118C2×C4×Dic89C2312yes—
119C2×C4×Dic89C2314yes—
120C2×C4×Dic89C2314yes—
121C2×C4×Dic89C2314yes—
122C2×C4×Dic89C2312yes—
123C2×C4×Dic89C2312yes—
124#15667919C2312yes—
125#15667919C2314yes—
126#15667919C2312yes—
127#15667919C2314yes—
128#15667919C2314yes—
129#15667919C2314yes—
130#15667919C2314yes—
131#15667919C2314yes—
132#15667919C2314yes—
133C25×C89C2311yescharacteristic
134C23×C4×C89—44no—
135C23×C4×C89C2×C418yescomplemented
136C23×C4×C89C2311yescharacteristic
137C23×C4×C89C2311yescharacteristic
138C23×C4×C89C2314yes—
139C23×C4×C89C2311yescharacteristic
140C23×C4×C89C2311yescharacteristic
141C23×C4×C89C2311yescharacteristic
142C23×C4×C89C2311yescharacteristic
143C2×C22⋊C4×C89—44no—
144C2×C22⋊C4×C89C2314yes—
145C2×C22⋊C4×C89C2312yes—
146C2×C22⋊C4×C89C2312yes—
147#95×C89C2312yes—
148#95×C89C2312yes—
149#95×C89C2312yes—
150#95×C89C2314yes—
151#95×C89C2312yes—
152#95×C89C2314yes—
153C23×D89C2412yes—
154#13083574—416no—
155C2×Dic178—42no—
156C2×Dic178C22×C414yes—
157C2×D356—42no—
158C2×D356C22×C414yes—
159C2×C22⋊D89—28no—
160C2×C22⋊D89—28no—
161C2×C22⋊D89—42no—
162C2×C22⋊D89—42no—
163C2×C22⋊D89C22×C418yes—
164C2×C22⋊D89C22×C418yes—
165C2×C22⋊D89C22×C418yes—
166C22×Dic89—28no—
167C22×Dic89—28no—
168C22×Dic89—44no—
169C22×Dic89C2414yes—
170C22×Dic89C2412yes—
171C22×Dic89C2412yes—
172C22×Dic89C2412yes—
173C22×Dic89C2414yes—
174C2×C4×D89—28no—
175C2×C4×D89—44no—
176C2×C4×D89—44no—
177C2×C4×D89—44no—
178C2×C4×D89C22×C418yes—
179C4⋊Dic89C22×C414yes—
180C4⋊Dic89C22×C414yes—
181#13083553—28no—
182#13083553—44no—
183#13083553—44no—
184#13083553C22×C418yes—
185#13083553C22×C418yes—
186C22⋊Dic89—24no—
187C22⋊Dic89—28no—
188C22⋊Dic89C22×C418yes—
189C22⋊Dic89C22×C418yes—
190C22⋊Dic89C22×C418yes—
191C22⋊Dic89#4118yescomplemented
192#13083551—28no—
193#13083551—44no—
194#13083551—44no—
195#13083551C22×C418yes—
196#13083551C22×C418yes—
197C4×Dic89—28no—
198C4×Dic89—44no—
199C4×Dic89—42no—
200C4×Dic89—44no—
201C4×Dic89—42no—
202C4×Dic89—44no—
203C4×Dic89C22×C418yes—
204C24×C89—24no—
205C24×C89—24no—
206C24×C89—42no—
207C24×C89C22×C414yes—
208C24×C89C2411yescharacteristic
209C24×C89C2411yescharacteristic
210C24×C89C2411yescharacteristic
211C22×C4×C89—24no—
212C22×C4×C89—24no—
213C22×C4×C89—28no—
214C22×C4×C89—416no—
215C22×C4×C89—42no—
216C22×C4×C89—42no—
217C22×C4×C89—42no—
218C22×C4×C89—42no—
219C22×C4×C89—44no—
220C22×C4×C89—44no—
221C22×C4×C89C22×C414yes—
222C22×C4×C89C22×C414yes—
223C22×C4×C89C22×C414yes—
224C22×C4×C89C22×C414yes—
225C22×C4×C89C22×C414yes—
226C22×C4×C89C22×C414yes—
227C22×C4×C89C2414yes—
228C22×C4×C89C2414yes—
229C22×C4×C89C2411yescharacteristic
230C22×C4×C89C2411yescharacteristic
231C22×C4×C89C2411yescharacteristic
232C22×C4×C89C2411yescharacteristic
233C22⋊C4×C89—28no—
234C22⋊C4×C89—42no—
235C22⋊C4×C89—42no—
236C23×C89—22no—
237C23×C89—22no—
238C23×C89—22no—
239C23×C89—22no—
240C23×C89—28no—
241C23×C89—28no—
242C23×C89—22no—
243C23×C89—22no—
244C23×C89—22no—
245C23×C89—44no—
246C23×C89—416no—
247C23×C89C23×C412yes—
248C23×C89C23×C412yes—
249C23×C89C23×C412yes—
250C23×C89C2×#4114yes—
251C23×C89H(5,𝔽2)14yes—
252C23×C89C2511yescharacteristic
253C22×D89—24no—
254C22×D89—24no—
255C22×D89—22no—
256C22×D89—22no—
257C22×D89C23×C414yes—
258C2×C4×C89—28no—
259C2×C4×C89—28no—
260C2×C4×C89—22no—
261C2×C4×C89—22no—
262C2×C4×C89—22no—
263C2×C4×C89—22no—
264C2×C4×C89—24no—
265C2×C4×C89—24no—
266C2×C4×C89—24no—
267C2×C4×C89—24no—
268C2×C4×C89—24no—
269C2×C4×C89—24no—
270C2×C4×C89—44no—
271C2×C4×C89—44no—
272C2×C4×C89—44no—
273C2×C4×C89—44no—
274C2×C4×C89—88no—
275C2×C4×C89C23×C412yes—
276C2×C4×C89C23×C412yes—
277C2×C4×C89C23×C412yes—
278C2×C4×C89C23×C412yes—
279C22⋊D89—216no—
280C22⋊D89—216no—
281C22⋊D89—48no—
282C2×Dic89—24no—
283C2×Dic89—24no—
284C2×Dic89—24no—
285C2×Dic89—22no—
286C2×Dic89—24no—
287C2×Dic89—22no—
288C2×Dic89—24no—
289C2×Dic89—24no—
290C2×Dic89—24no—
291C2×Dic89—416no—
292C2×Dic89C23×C414yes—
293C2×Dic89C23×C414yes—
294C2×Dic89C23×C414yes—
295C2×Dic89C2×#4118yes—
296D356—44no—
297C4×D89—48no—
298C4×D89—88no—
299Dic178—44no—
300C22×C89—22no—
301C22×C89—22no—
302C22×C89—22no—
303C22×C89—22no—
304C22×C89—28no—
305C22×C89—28no—
306C22×C89—22no—
307C22×C89—22no—
308C22×C89—22no—
309C22×C89—416no—
310C22×C89—44no—
311C22×C89C4×#4114yes—
312C22×C89#51814yes—
313C22×C89C24×C411yescharacteristic
314C22×C89C22×#4112yes—
315C22×C89C2×H(5,𝔽2)12yes—
316C22×C89#58512yes—
317C2×D89—24no—
318C2×D89—24no—
319C2×D89—24no—
320C2×D89—44no—
321C2×D89—44no—
322C4×C89—22no—
323C4×C89—22no—
324C4×C89—22no—
325C4×C89—22no—
326C4×C89—44no—
327C4×C89—44no—
328Dic89—24no—
329Dic89—24no—
330Dic89—24no—
331Dic89—28no—
332Dic89—44no—
333#34228—891nomaximal, Sylow
334C2×C89—24no—
335C2×C89—24no—
336C2×C89—42no—
337C2×C89C2×C4×#4111yescharacteristic
338C2×C89C2×#51811yescharacteristic
339C2×C89#342811yescharacteristic
340C2×C89#351314yes—
341D89—44no—
342C2×#525—891no—
343#2368—892no—
344#2364—892no—
345#2358—894no—
346#2357—892no—
347#2353—892no—
348#2343—892no—
349#2339—892no—
350#2333—892no—
351#2332—892no—
352#2318—892no—
353C4×#123—894no—
354C2×#381D8911yescharacteristic, complemented
355#2275—892no—
356C2×C4×C22⋊C4—891no—
357C89#3422811yescharacteristic, complemented, Sylow
358C22×#41—891no—
359C24×C4C2×D8911yescharacteristic
360#525—8916no—
361C2×#123—892no—
362C2×C22⋊Q8—891no—
363C2×C22⋊Q8—891no—
364C2×#121—891no—
365C2×#121—891no—
366C2×#120—892no—
367C2×C4×D4—892no—
368C2×C4×D4—892no—
369C2×C4×D4—894no—
370C2×C4×D4—894no—
371C2×#117—891no—
372C22×C22⋊C4—892no—
373C22×C22⋊C4C2×D8912yes—
374C22×C42—892no—
375#391—894no—
376#390—894no—
377#388—894no—
378#388—894no—
379#388—894no—
380#388—894no—
381#387—894no—
382#387—894no—
383#387—894no—
384#387—894no—
385#386—894no—
386#386—894no—
387#386—894no—
388#386—894no—
389#385—894no—
390#385—894no—
391#383—892no—
392#382—892no—
393#381—892no—
394#381C2×D8912yes—
395#381C2×D8912yes—
396#381C2×D8911yescharacteristic
397#381C2×D8911yescharacteristic
398#381C2×D8912yes—
399#380—892no—
400C4×C4⋊C4—894no—
401C4×C4⋊C4—892no—
402C4×C4⋊C4—894no—
403C4×C22⋊C4—891no—
404C4×C22⋊C4—892no—
405C4×C22⋊C4—892no—
406C4×C22⋊C4—894no—
407C4×C22⋊C4—892no—
408C4×C22⋊C4—891no—
409C4×C22⋊C4—894no—
410C4×C22⋊C4—894no—
411C4×C22⋊C4—892no—
412C4×C22⋊C4—894no—
413#376—892no—
414C2×#95—892no—
415C2×#95—892no—
416C2×#95C2×D8912yes—
417C2×#95C2×D8912yes—
418C25C22×D8911yescharacteristic
419C2×#41—898no—
420C2×#41—3564no—
421C22×Q8—891no—
422C22×D4—892no—
423C22×D4—892no—
424C22×D4—892no—
425C22×D4—891no—
426C23×C4—44no—
427C23×C4—892no—
428C23×C4—894no—
429C23×C4—894no—
430C23×C4C4×D8918yescomplemented
431C23×C4C22×D8911yescharacteristic
432C23×C4C22×D8911yescharacteristic
433C23×C4C22×D8914yes—
434C23×C4C22×D8911yescharacteristic
435C23×C4C22×D8911yescharacteristic
436C23×C4C22×D8911yescharacteristic
437C23×C4C22×D8911yescharacteristic
438#123—8916no—
439C22⋊Q8—898no—
440C22⋊Q8—898no—
441#121—898no—
442#121—898no—
443#120—8916no—
444C4×D4—8916no—
445C4×D4—8916no—
446C4×D4—3568no—
447C4×D4—17816no—
448#117—898no—
449C2×C4⋊C4—891no—
450C2×C4⋊C4—891no—
451C2×C4⋊C4—892no—
452C2×C4⋊C4—892no—
453C2×C4⋊C4—894no—
454C2×C4⋊C4—894no—
455C2×C4⋊C4—894no—
456C2×C22⋊C4—44no—
457C2×C22⋊C4—892no—
458C2×C22⋊C4—892no—
459C2×C22⋊C4—892no—
460C2×C22⋊C4—892no—
461C2×C22⋊C4—892no—
462C2×C22⋊C4—892no—
463C2×C22⋊C4—894no—
464C2×C22⋊C4—894no—
465C2×C22⋊C4—892no—
466C2×C22⋊C4—894no—
467C2×C22⋊C4—894no—
468C2×C22⋊C4—1788no—
469C2×C22⋊C4C22×D8914yes—
470C2×C22⋊C4C22×D8912yes—
471C2×C22⋊C4C22×D8912yes—
472C2×C42—892no—
473C2×C42—894no—
474C2×C42—892no—
475C2×C42—894no—
476C2×C42—894no—
477C2×C42—892no—
478C2×C42—894no—
479C2×C42—3564no—
480#95—892no—
481#95—892no—
482#95—894no—
483#95—894no—
484#95—894no—
485#95—894no—
486#95—894no—
487#95—894no—
488#95—894no—
489#95C22×D8912yes—
490#95C22×D8912yes—
491#95C22×D8912yes—
492#95C22×D8914yes—
493#95C22×D8912yes—
494#95C22×D8914yes—
495C24—24no—
496C24—24no—
497C24—42no—
498C24—892no—
499C24C2×C4×D8914yes—
500C24C23×D8911yescharacteristic
501C24C23×D8911yescharacteristic
502C24C23×D8911yescharacteristic
503#41—35616no—
504C2×Q8—894no—
505C2×Q8—3562no—
506C2×D4—898no—
507C2×D4—898no—
508C2×D4—898no—
509C2×D4—894no—
510C2×D4—3562no—
511C2×D4—3562no—
512C2×D4—3562no—
513C2×D4—1788no—
514C2×D4—1788no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—28no—
518C22×C4—416no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—894no—
526C22×C4—892no—
527C22×C4—892no—
528C22×C4—892no—
529C22×C4—898no—
530C22×C4—894no—
531C22×C4—3564no—
532C22×C4—3564no—
533C22×C4—3564no—
534C22×C4—3564no—
535C22×C4—1788no—
536C22×C4—1788no—
537C22×C4—1788no—
538C22×C4C2×C4×D8914yes—
539C22×C4C2×C4×D8914yes—
540C22×C4C2×C4×D8914yes—
541C22×C4C2×C4×D8914yes—
542C22×C4C2×C4×D8914yes—
543C22×C4C2×C4×D8914yes—
544C22×C4C23×D8914yes—
545C22×C4C23×D8914yes—
546C22×C4C23×D8911yescharacteristic
547C22×C4C23×D8911yescharacteristic
548C22×C4C23×D8911yescharacteristic
549C22×C4C23×D8911yescharacteristic
550C4⋊C4—894no—
551C4⋊C4—894no—
552C4⋊C4—898no—
553C4⋊C4—898no—
554C4⋊C4—3564no—
555C4⋊C4—3564no—
556C4⋊C4—1788no—
557C22⋊C4—28no—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—898no—
561C22⋊C4—898no—
562C22⋊C4—898no—
563C22⋊C4—898no—
564C22⋊C4—898no—
565C22⋊C4—898no—
566C22⋊C4—3564no—
567C22⋊C4—3564no—
568C22⋊C4—1788no—
569C22⋊C4—1788no—
570C22⋊C4—1784no—
571C42—898no—
572C42—3562no—
573C42—3564no—
574C42—3562no—
575C42—3564no—
576C42—3564no—
577C42—1788no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—28no—
586C23—28no—
587C23—44no—
588C23—416no—
589C23—894no—
590C23—1784no—
591C23—1784no—
592C23—1782no—
593C23—1782no—
594C23C22×C4×D8912yes—
595C23C22×C4×D8912yes—
596C23C22×C4×D8912yes—
597C23#41×D8914yes—
598C23#1566805714yes—
599C23C24×D8911yescharacteristic
600Q8—3564no—
601D4—3564no—
602D4—3568no—
603D4—17816no—
604D4—17816no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—28no—
610C2×C4—28no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—44no—
621C2×C4—88no—
622C2×C4—894no—
623C2×C4—894no—
624C2×C4—894no—
625C2×C4—898no—
626C2×C4—3568no—
627C2×C4—35616no—
628C2×C4—1784no—
629C2×C4—1784no—
630C2×C4—1784no—
631C2×C4—1784no—
632C2×C4—1784no—
633C2×C4—1784no—
634C2×C4—1782no—
635C2×C4—1784no—
636C2×C4—1782no—
637C2×C4—7128no—
638C2×C4C22×C4×D8912yes—
639C2×C4C22×C4×D8912yes—
640C2×C4C22×C4×D8912yes—
641C2×C4C22×C4×D8912yes—
642C22—28no—
643C22—28no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—416no—
652C22—44no—
653C22—3564no—
654C22—3564no—
655C22—1784no—
656C22—1784no—
657C22—1784no—
658C22#1915206614yes—
659C22#1915207114yes—
660C22C23×C4×D8911yescharacteristic
661C22C2×#41×D8912yes—
662C22C2×#1566805712yes—
663C22#1915243412yes—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—44no—
669C4—44no—
670C4—3564no—
671C4—1788no—
672C4—1784no—
673C4—1784no—
674C4—1784no—
675C2—24no—
676C2—24no—
677C2—42no—
678C2—3564no—
679C2C2×#1915206611yescharacteristic
680C2C2×#1915207111yescharacteristic
681C2#2603345311yescharacteristic
682C2#2603418414yes—
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC2×#381×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152109C2
hypercenterC2×#381D89
hypocenterC89#34228
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×#381

Complements

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

NH ≅ G/Ntype
2. #26023332C2semidirect
3. #26023299C2semidirect
4. #26023231C2semidirect
5. #26023220C2semidirect
6. #26023189C2semidirect
7. #26023114C2semidirect
8. #26023076C2semidirect
9. #26023014C2semidirect
10. #26023005C2semidirect
11. #26022886C2semidirect
12. #26022769C2semidirect
13. #26022610C2semidirect
14. C2×C4×C22⋊Dic89C2semidirect
15. C2×#381×C89C2semidirect
17. #19152109C4semidirect
31. #19151502C22semidirect
34. #19151487C22semidirect
35. #19151487C22semidirect
37. #19151483C22semidirect
38. #19151481C22semidirect
39. #19151480C22semidirect
40. #19151480C22semidirect
42. #19151476C22semidirect
47. #19151465C22semidirect
48. #19151462C22semidirect
49. #19151460C22semidirect
50. #19151457C22semidirect
51. #19151449C22semidirect
52. #19151449C22semidirect
53. #19151449C22semidirect
61. #19151445C22semidirect
62. #19151445C22semidirect
63. #19151445C22semidirect
64. #19151443C22semidirect
66. #95×D89C22semidirect
77. C2×#13083574C2×C4semidirect
86. #15667995C2×C4semidirect
87. #15667991C2×C4semidirect
88. #15667991C2×C4semidirect
89. #15667986C2×C4semidirect
90. #15667986C2×C4semidirect
91. #15667981C2×C4semidirect
93. C4×C22⋊D89C2×C4semidirect
94. C4×C22⋊D89C2×C4semidirect
96. #15667971C2×C4semidirect
135. C23×C4×C89C2×C4semidirect
191. C22⋊Dic89#41semidirect
354. C2×#381D89semidirect
357. C89#34228semidirect
430. C23×C4C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521092
#260233322
#260232992
#260232312
#260232202
#260231892
#260231142
#260230762
#260230142
#260230052
#260228862
#260227692
#260226102
C2×C4×C22⋊Dic892
C2×#381×C892
#3422889