Finite Group Databasebeta

← C2×#19138973 #25265556

Subgroups — C2×#19138973 #25265556

Order 11008.

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#19138973C2116yesmaximal, direct product factor
2C2×C43⋊#401C211yesmaximal, characteristic, complemented
3C2×#14582839C211yesmaximal, characteristic, complemented
4C2×#14582838C211yesmaximal, characteristic, complemented
5C2×#14582786C211yesmaximal, characteristic, complemented
6C2×#14582782C211yesmaximal, characteristic, complemented
7C2×#14582780C211yesmaximal, characteristic, complemented
8C2×#14582773C211yesmaximal, characteristic
9C2×#14582770C211yesmaximal, characteristic
10C2×#14582766C211yesmaximal, characteristic, complemented
11C2×#14582761C211yesmaximal, characteristic
12C2×#14582761C211yesmaximal, characteristic
13C2×#14582756C211yesmaximal, characteristic
14C2×#14582746C211yesmaximal, characteristic
15C2×#95×D43C211yesmaximal, characteristic
16C2×C43×#400C211yesmaximal, characteristic, complemented
17C23×C4×D43C2211yescharacteristic
18C23×C4×D43C2211yescharacteristic
19C23×C4×D43C2211yescharacteristic
20C22×C4⋊Dic43C2211yescharacteristic
21C22×C4⋊Dic43C2211yescharacteristic
22C22×Dic43⋊C4C2211yescharacteristic
23C22×Dic43⋊C4C2211yescharacteristic
24C22×(C2×D43)⋊C4C2211yescharacteristic
25C22×(C2×D43)⋊C4C2211yescharacteristic
26C22×(C2×D43)⋊C4C2211yescharacteristic
27C22×(C2×D43)⋊C4C2211yescharacteristic
28C22×C4×Dic43C2211yescharacteristic
29C22×C4×Dic43C2211yescharacteristic
30C43⋊#401C2218yescomplemented
31#14582839C2218yescomplemented
32#14582838C2218yescomplemented
33#14582786C2218yescomplemented
34#14582782C2218yescomplemented
35#14582780C2218yescomplemented
36#14582773C2218yes—
37#14582770C2218yes—
38#14582766C2218yescomplemented
39#14582761C2218yes—
40#14582761C2218yes—
41#14582756C2218yes—
42#14582746C2218yes—
43C2×C43⋊#95C2211yescharacteristic
44C2×C43⋊#95C2211yescharacteristic
45C2×C43⋊#95C2211yescharacteristic
46C2×C43⋊#95C2211yescharacteristic
47C2×C43⋊#95C2211yescharacteristic
48C2×C43⋊#95C2211yescharacteristic
49C2×C43⋊#95C2211yescharacteristic
50C2×C43⋊#95C2211yescharacteristic
51C2×C43⋊#95C2211yescharacteristic
52C2×C43⋊#95C2211yescharacteristic
53C2×C43⋊#95C2211yescharacteristic
54C2×C43⋊#95C2211yescharacteristic
55C2×C43⋊#95C2211yescharacteristic
56C2×C43⋊#95C2211yescharacteristic
57C2×C43⋊#95C2211yescharacteristic
58#95×D43C2218yes—
59C22×C4⋊C4×C43C2211yescharacteristic
60C22×C4⋊C4×C43C2211yescharacteristic
61C43×#400C2218yescomplemented
62C2×#95×C43C2211yescharacteristic
63C2×#95×C43C2211yescharacteristic
64C2×#95×C43C2211yescharacteristic
65C2×#95×C43C2211yescharacteristic
66C2×#95×C43C2211yescharacteristic
67C24×D43C2311yescharacteristic
68C23×Dic43C2311yescharacteristic
69C23×Dic43C2311yescharacteristic
70C23×Dic43C2311yescharacteristic
71C23×Dic43C2311yescharacteristic
72C23×Dic43C2311yescharacteristic
73C23×Dic43C2311yescharacteristic
74C23×Dic43C2311yescharacteristic
75C22×C4×D43—24no—
76C22×C4×D43—24no—
77C22×C4×D43—24no—
78C22×C4×D43—24no—
79C22×C4×D43—24no—
80C22×C4×D43—24no—
81C22×C4×D43—24no—
82C22×C4×D43—42no—
83C22×C4×D43—42no—
84C22×C4×D43C2314yes—
85C22×C4×D43C2314yes—
86C22×C4×D43C2314yes—
87C2×C4⋊Dic43—24no—
88C2×C4⋊Dic43—42no—
89C2×C4⋊Dic43C2314yes—
90C2×C4⋊Dic43C2314yes—
91C2×Dic43⋊C4—24no—
92C2×Dic43⋊C4—24no—
93C2×Dic43⋊C4C2314yes—
94C2×Dic43⋊C4C2314yes—
95C2×(C2×D43)⋊C4—24no—
96C2×(C2×D43)⋊C4—24no—
97C2×(C2×D43)⋊C4—24no—
98C2×(C2×D43)⋊C4—24no—
99C2×(C2×D43)⋊C4C2314yes—
100C2×(C2×D43)⋊C4C2314yes—
101C2×(C2×D43)⋊C4C2314yes—
102C2×(C2×D43)⋊C4C2314yes—
103C2×C4×Dic43—24no—
104C2×C4×Dic43—42no—
105C2×C4×Dic43C2314yes—
106C2×C4×Dic43C2314yes—
107C43⋊#95C2314yes—
108C43⋊#95C2314yes—
109C43⋊#95C2314yes—
110C43⋊#95C2314yes—
111C43⋊#95C2314yes—
112C43⋊#95C2314yes—
113C43⋊#95C2314yes—
114C43⋊#95C2314yes—
115C43⋊#95C2314yes—
116C43⋊#95C2314yes—
117C43⋊#95C2314yes—
118C43⋊#95C2314yes—
119C43⋊#95C2314yes—
120C43⋊#95C2314yes—
121C43⋊#95C2314yes—
122C23×C4×C43C2311yescharacteristic
123C23×C4×C43C2311yescharacteristic
124C23×C4×C43C2311yescharacteristic
125C23×C4×C43C2311yescharacteristic
126C23×C4×C43C2311yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C23×C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43—42no—
130C2×C4⋊C4×C43—42no—
131C2×C4⋊C4×C43C2314yes—
132C2×C4⋊C4×C43C2314yes—
133#95×C43C2314yes—
134#95×C43C2314yes—
135#95×C43C2314yes—
136#95×C43C2314yes—
137#95×C43C2314yes—
138C24×C43C2411yescharacteristic
139C23×D43—22no—
140C23×D43—22no—
141C23×D43—22no—
142C23×D43—22no—
143C23×D43#4114yes—
144C23×D43#4114yes—
145C23×D43#4114yes—
146C23×D43C2412yes—
147C22×C4×C43—22no—
148C22×C4×C43—22no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—22no—
158C22×C4×C43—22no—
159C22×C4×C43—22no—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—22no—
163C22×C4×C43—22no—
164C22×C4×C43—22no—
165C22×C4×C43—22no—
166C22×C4×C43—22no—
167C22×C4×C43#4114yes—
168C22×C4×C43C2412yes—
169C22×C4×C43C2412yes—
170C22×C4×C43C2412yes—
171C22×C4×C43C2412yes—
172C22×C4×C43C2412yes—
173C22×C4×C43C2412yes—
174C22×C4×C43C2412yes—
175C22×Dic43—22no—
176C22×Dic43—22no—
177C22×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—22no—
180C22×Dic43—22no—
181C22×Dic43—22no—
182C22×Dic43—22no—
183C22×Dic43—22no—
184C22×Dic43—22no—
185C22×Dic43—22no—
186C22×Dic43—22no—
187C22×Dic43—22no—
188C22×Dic43—22no—
189C22×Dic43—22no—
190C22×Dic43—22no—
191C22×Dic43—22no—
192C22×Dic43—22no—
193C22×Dic43—22no—
194C22×Dic43—22no—
195C22×Dic43#4114yes—
196C22×Dic43C2412yes—
197C22×Dic43C2412yes—
198C22×Dic43C2412yes—
199C22×Dic43C2412yes—
200C22×Dic43C2412yes—
201C22×Dic43C2412yes—
202C22×Dic43C2412yes—
203C2×C4×D43—28no—
204C2×C4×D43—28no—
205C2×C4×D43—28no—
206C2×C4×D43—28no—
207C2×C4×D43—28no—
208C2×C4×D43—28no—
209C2×C4×D43—28no—
210C2×C4×D43—44no—
211C2×C4×D43—44no—
212C2×C4×D43—416no—
213C2×C4×D43—416no—
214C2×C4×D43—416no—
215C4⋊C4×C43—44no—
216C4⋊C4×C43—44no—
217(C2×D43)⋊C4—28no—
218(C2×D43)⋊C4—28no—
219(C2×D43)⋊C4—28no—
220(C2×D43)⋊C4—28no—
221C4⋊Dic43—28no—
222C4⋊Dic43—44no—
223Dic43⋊C4—28no—
224Dic43⋊C4—28no—
225C4×Dic43—28no—
226C4×Dic43—44no—
227C23×C43C2×#4112yes—
228C23×C43C2×#4112yes—
229C23×C43C2×#4112yes—
230C23×C43C2×#4112yes—
231C23×C43C2×#4112yes—
232C23×C43H(5,𝔽2)12yes—
233C23×C432−1+412yes—
234C23×C43C2511yescharacteristic
235C22×D43—28no—
236C22×D43—28no—
237C22×D43—28no—
238C22×D43—28no—
239C22×D43—28no—
240C22×D43—28no—
241C22×D43—22no—
242C22×D43—22no—
243C22×D43—22no—
244C22×D43—22no—
245C22×D43#126116yes—
246C22×D43C2×#4114yes—
247C22×D43C2×#4114yes—
248C22×D43C2×#4114yes—
249C2×C4×C43—28no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—44no—
271C2×C4×C43—44no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43—44no—
275C2×C4×C43—44no—
276C2×C4×C43C2×#4114yes—
277C2×Dic43—28no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—44no—
299C2×Dic43—44no—
300C2×Dic43—44no—
301C2×Dic43—44no—
302C2×Dic43—44no—
303C2×Dic43—44no—
304C2×Dic43C2×#4114yes—
305C4×D43—416no—
306C4×D43—416no—
307C4×D43—416no—
308C2×#2493—431nomaximal, Sylow
309C22×C43C2×#12614yes—
310C22×C43#52914yes—
311C22×C43#53914yes—
312C22×C43#55114yes—
313C22×C43#55114yes—
314C22×C43#55214yes—
315C22×C43#55214yes—
316C22×C43C22×#4111yescharacteristic
317C22×C43C22×#4111yescharacteristic
318C22×C43C22×#4111yescharacteristic
319C22×C43C22×#4111yescharacteristic
320C22×C43C22×#4111yescharacteristic
321C22×C43C2×H(5,𝔽2)11yescharacteristic
322C22×C43C2×2−1+411yescharacteristic
323C2×D43—24no—
324C2×D43—24no—
325C2×D43—24no—
326C2×D43—24no—
327C2×D43—24no—
328C2×D43—24no—
329C2×D43—232no—
330C2×D43C2×#12618yes—
331C4×C43—24no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43—42no—
336C4×C43—42no—
337C4×C43—42no—
338Dic43—24no—
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345#2493—4316no—
346C2×#401—431no—
347C2×#400—431no—
348C2×#400—431no—
349C2×#400D4311yescharacteristic, complemented
350C2×#387—431no—
351C2×#387—431no—
352C2×#387—431no—
353C2×#385—431no—
354C2×#385—431no—
355C2×#383—431no—
356C2×#381—431no—
357C2×#381—431no—
358C2×#380—431no—
359C2×C4×C22⋊C4—431no—
360C22×#95—431no—
361C2×C43#249318yescomplemented
362C2×C43C22×#12611yescharacteristic
363C2×C43C2×#52911yescharacteristic
364C2×C43C2×#53911yescharacteristic
365C2×C43C2×#55111yescharacteristic
366C2×C43C2×#55111yescharacteristic
367C2×C43C2×#55211yescharacteristic
368C2×C43C2×#55211yescharacteristic
369D43—28no—
370C24×C4—431no—
371C24×C4—431no—
372C24×C4—431no—
373C22×C4⋊C4—431no—
374C22×C4⋊C4—431no—
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377C22×C4⋊C4C2×D4311yescharacteristic
378C22×C4⋊C4C2×D4311yescharacteristic
379C22×C22⋊C4—431no—
380C22×C22⋊C4—431no—
381C22×C22⋊C4—431no—
382C22×C22⋊C4—431no—
383C22×C42—431no—
384C22×C42—431no—
385#401—438no—
386#400—438no—
387#400—438no—
388#400C2×D4318yescomplemented
389#387—438no—
390#387—438no—
391#387—438no—
392#385—438no—
393#385—438no—
394#383—438no—
395#381—438no—
396#381—438no—
397#380—438no—
398C4×C22⋊C4—438no—
399C2×#95—431no—
400C2×#95—431no—
401C2×#95—431no—
402C2×#95—431no—
403C2×#95—431no—
404C2×#95—431no—
405C2×#95—431no—
406C2×#95—431no—
407C2×#95—431no—
408C2×#95—431no—
409C2×#95—431no—
410C2×#95—431no—
411C2×#95—431no—
412C2×#95—431no—
413C2×#95—431no—
414C2×#95—438no—
415C2×#95C2×D4311yescharacteristic
416C2×#95C2×D4311yescharacteristic
417C2×#95C2×D4311yescharacteristic
418C2×#95C2×D4311yescharacteristic
419C2×#95C2×D4311yescharacteristic
420C43C2×#249311yescharacteristic, complemented, Sylow
421C25—431no—
422C23×C4—431no—
423C23×C4—431no—
424C23×C4—431no—
425C23×C4—431no—
426C23×C4—431no—
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—434no—
430C23×C4—434no—
431C23×C4—434no—
432C23×C4—864no—
433C23×C4—864no—
434C23×C4—864no—
435C23×C4—864no—
436C23×C4—864no—
437C23×C4—864no—
438C23×C4—864no—
439C23×C4—1722no—
440C23×C4—1722no—
441C23×C4C22×D4311yescharacteristic
442C23×C4C22×D4311yescharacteristic
443C23×C4C22×D4311yescharacteristic
444C23×C4C22×D4311yescharacteristic
445C23×C4C22×D4311yescharacteristic
446C23×C4C22×D4311yescharacteristic
447C23×C4C22×D4311yescharacteristic
448C2×C4⋊C4—42no—
449C2×C4⋊C4—42no—
450C2×C4⋊C4—434no—
451C2×C4⋊C4—434no—
452C2×C4⋊C4—434no—
453C2×C4⋊C4—434no—
454C2×C4⋊C4—864no—
455C2×C4⋊C4—864no—
456C2×C4⋊C4—864no—
457C2×C4⋊C4—1722no—
458C2×C4⋊C4C22×D4314yes—
459C2×C4⋊C4C22×D4314yes—
460C2×C22⋊C4—434no—
461C2×C22⋊C4—434no—
462C2×C22⋊C4—434no—
463C2×C22⋊C4—434no—
464C2×C22⋊C4—864no—
465C2×C22⋊C4—864no—
466C2×C22⋊C4—864no—
467C2×C22⋊C4—864no—
468C2×C42—434no—
469C2×C42—434no—
470C2×C42—864no—
471C2×C42—1722no—
472#95—434no—
473#95—434no—
474#95—434no—
475#95—434no—
476#95—434no—
477#95—434no—
478#95—434no—
479#95—434no—
480#95—434no—
481#95—434no—
482#95—434no—
483#95—434no—
484#95—434no—
485#95—434no—
486#95—434no—
487#95C22×D4314yes—
488#95C22×D4314yes—
489#95C22×D4314yes—
490#95C22×D4314yes—
491#95C22×D4314yes—
492C24—434no—
493C24—434no—
494C24—434no—
495C24—432no—
496C24—862no—
497C24—862no—
498C24—862no—
499C24—862no—
500C24C23×D4311yescharacteristic
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—22no—
521C22×C4—434no—
522C22×C4—432no—
523C22×C4—432no—
524C22×C4—432no—
525C22×C4—432no—
526C22×C4—432no—
527C22×C4—432no—
528C22×C4—432no—
529C22×C4—868no—
530C22×C4—868no—
531C22×C4—868no—
532C22×C4—868no—
533C22×C4—868no—
534C22×C4—868no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—862no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—862no—
553C22×C4—862no—
554C22×C4—862no—
555C22×C4—868no—
556C22×C4—1724no—
557C22×C4—1724no—
558C22×C4—17216no—
559C22×C4—17216no—
560C22×C4—17216no—
561C22×C4#1062190214yes—
562C22×C4C23×D4312yes—
563C22×C4C23×D4312yes—
564C22×C4C23×D4312yes—
565C22×C4C23×D4312yes—
566C22×C4C23×D4312yes—
567C22×C4C23×D4312yes—
568C22×C4C23×D4312yes—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—868no—
572C4⋊C4—868no—
573C4⋊C4—868no—
574C4⋊C4—1724no—
575C22⋊C4—868no—
576C22⋊C4—868no—
577C22⋊C4—868no—
578C22⋊C4—868no—
579C42—868no—
580C42—1724no—
581C23—4316no—
582C23—434no—
583C23—434no—
584C23—434no—
585C23—868no—
586C23—868no—
587C23—868no—
588C23—868no—
589C23—868no—
590C23—862no—
591C23—862no—
592C23—862no—
593C23—862no—
594C23—868no—
595C23#41×D4312yes—
596C23#41×D4312yes—
597C23#41×D4312yes—
598C23#41×D4312yes—
599C23C2×#1062190212yes—
600C23#1306337012yes—
601C23#1306337212yes—
602C23C24×D4311yescharacteristic
603C2×C4—28no—
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—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—44no—
630C2×C4—434no—
631C2×C4—868no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—17216no—
653C2×C4—17216no—
654C2×C4—17216no—
655C2×C4—1724no—
656C2×C4—1724no—
657C2×C4—1724no—
658C2×C4—1724no—
659C2×C4—1724no—
660C2×C4—1724no—
661C2×C4C2×#1062190214yes—
662C22—438no—
663C22—864no—
664C22—864no—
665C22—864no—
666C22—864no—
667C22—864no—
668C22—8632no—
669C22—864no—
670C22#126×D4314yes—
671C22#1458343414yes—
672C22#1458349214yes—
673C22#1458357614yes—
674C22#1458357914yes—
675C22#1458358514yes—
676C22#1458358714yes—
677C22C2×#41×D4311yescharacteristic
678C22C2×#41×D4311yescharacteristic
679C22C2×#41×D4311yescharacteristic
680C22C2×#41×D4311yescharacteristic
681C22C22×#1062190211yescharacteristic
682C22C2×#1306337011yescharacteristic
683C22C2×#1306337211yescharacteristic
684C4—24no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—864no—
692C4—1722no—
693C4—1722no—
694C4—1722no—
695C4—1722no—
696C4—1722no—
697C4—1722no—
698C2—868no—
699C2#1913897318yesdirect product factor
700C2C2×#126×D4311yescharacteristic
701C2C2×#1458343411yescharacteristic
702C2C2×#1458349211yescharacteristic
703C2C2×#1458357611yescharacteristic
704C2C2×#1458357911yescharacteristic
705C2C2×#1458358511yescharacteristic
706C2C2×#1458358711yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#400C2
socleC24×C43C24
prime radicalC24×D43C23
hypercenterC2×#400D43
hypocenterC43C2×#2493
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#400

Complements

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

NH ≅ G/Ntype
1. #19138973C2direct (N × H)
2. C2×C43⋊#401C2semidirect
3. C2×#14582839C2semidirect
4. C2×#14582838C2semidirect
5. C2×#14582786C2semidirect
6. C2×#14582782C2semidirect
7. C2×#14582780C2semidirect
10. C2×#14582766C2semidirect
16. C2×C43×#400C2semidirect
30. C43⋊#401C22semidirect
31. #14582839C22semidirect
32. #14582838C22semidirect
33. #14582786C22semidirect
34. #14582782C22semidirect
35. #14582780C22semidirect
38. #14582766C22semidirect
61. C43×#400C22semidirect
349. C2×#400D43semidirect
361. C2×C43#2493semidirect
388. #400C2×D43semidirect
420. C43C2×#2493semidirect
699. C2#19138973direct (N × H)

Maximal subgroups

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

subgroupindex
#191389732
C2×C43⋊#4012
C2×#145828392
C2×#145828382
C2×#145827862
C2×#145827822
C2×#145827802
C2×#145827732
C2×#145827702
C2×#145827662
C2×#145827612
C2×#145827562
C2×#145827462
C2×#95×D432
C2×C43×#4002
C2×#249343