Finite Group Databasebeta

← #25003142

Subgroups — #25003142

Order 11008.

1494 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063314C211yesmaximal, characteristic
2C2×#14582908C211yesmaximal, characteristic, complemented
3C22×#13063241C211yesmaximal, characteristic
4#19137175C211yesmaximal, characteristic
5C2×#14582660C211yesmaximal, characteristic, complemented
6C2×#14582658C211yesmaximal, characteristic, complemented
7C2×C43×#419C211yesmaximal, characteristic, complemented
8C23×D172C2211yescharacteristic
9C22×#10621877C2211yescharacteristic
10C2×#13063314—22no—
11C2×#13063314—22no—
12C2×#13063314—22no—
13C2×#13063314—22no—
14C2×#13063314—22no—
15C2×#13063314C414yescomplemented
16C2×#13063284C2211yescharacteristic
17C22×(C2×D43)⋊C4—22no—
18C22×C4×Dic43C2211yescharacteristic
19#14582908—22no—
20#14582908—22no—
21C2×#13063249—22no—
22C2×#13063241—22no—
23C2×#13063241—22no—
24C2×#13063241—22no—
25#14582801—22no—
26#14582800—22no—
27#14582754—22no—
28#14582660—22no—
29#14582658—22no—
30C23×Q8×C43C2211yescharacteristic
31C22×M16×C43C2211yescharacteristic
32C2×#117×C43C2211yescharacteristic
33C43×#419—22no—
34C43×#419—22no—
35C2×#103×C43—22no—
36C24×D43D412yes—
37C22×D172—21no—
38C22×D172—21no—
39C22×D172—21no—
40C22×D172—21no—
41C22×D172—21no—
42C22×D172—21no—
43C22×D172—21no—
44C22×D172—21no—
45C22×D172—21no—
46C22×D172—21no—
47C22×D172—21no—
48C22×D172—21no—
49C22×D172C2×C412yes—
50C22×D172D412yes—
51C23×Dic43—21no—
52C2×#10621877—21no—
53C2×#10621877—21no—
54C2×#10621877—21no—
55C2×#10621877—21no—
56C2×#10621877—21no—
57C2×#10621877D412yes—
58C22×C43⋊C8—21no—
59#13063314—28no—
60#13063314—28no—
61#13063314—28no—
62#13063314—28no—
63#13063284—21no—
64#13063284—21no—
65#13063284—21no—
66#13063284—21no—
67C2×C4⋊Dic43D412yes—
68C2×C22⋊Dic43—21no—
69C2×(C2×D43)⋊C4—28no—
70C2×(C2×D43)⋊C4—28no—
71C2×(C2×D43)⋊C4—28no—
72C2×(C2×D43)⋊C4—28no—
73C2×C4×Dic43—21no—
74C2×C4×Dic43—21no—
75C2×C4×Dic43—21no—
76C2×C4×Dic43—21no—
77C2×C4×Dic43C2×C412yes—
78C2×C4×Dic43D412yes—
79C2×C4×Dic43D412yes—
80#13063249—28no—
81#13063241—28no—
82C22×Q8×C43—21no—
83C22×Q8×C43—21no—
84C22×Q8×C43—21no—
85C22×Q8×C43—21no—
86C22×Q8×C43—21no—
87C22×Q8×C43—21no—
88C22×Q8×C43—21no—
89C22×Q8×C43—21no—
90C22×Q8×C43—21no—
91C22×Q8×C43—21no—
92C22×Q8×C43—21no—
93C22×Q8×C43C2×C412yes—
94C22×Q8×C43D412yes—
95C22×Q8×C43D412yes—
96C23×C4×C43—21no—
97C23×C4×C43C2311yescharacteristic
98C2×M16×C43—21no—
99C2×M16×C43—21no—
100C2×M16×C43—21no—
101C2×M16×C43—21no—
102C2×M16×C43—21no—
103C2×M16×C43D412yes—
104C22×C8×C43—21no—
105#117×C43—21no—
106#117×C43—21no—
107#117×C43—21no—
108#117×C43—21no—
109C2×C4⋊C4×C43D412yes—
110C2×C22⋊C4×C43—21no—
111C2×C42×C43—21no—
112#103×C43—28no—
113C24×C43C2×D411yescharacteristic
114C23×D43—22no—
115C23×D43—22no—
116C23×D43—22no—
117C23×D43—22no—
118C23×D43—22no—
119C23×D43—22no—
120C23×D43—48no—
121C23×D43C22⋊C414yes—
122C2×Q8×C43—22no—
123C2×Q8×C43—22no—
124C2×Q8×C43—22no—
125C2×Q8×C43—22no—
126C2×Q8×C43—22no—
127C2×Q8×C43—22no—
128C2×Q8×C43—22no—
129C2×Q8×C43—22no—
130C2×Q8×C43—22no—
131C2×Q8×C43—22no—
132C2×Q8×C43—22no—
133C2×Q8×C43—22no—
134C2×Q8×C43—22no—
135C2×Q8×C43—22no—
136C2×Q8×C43—22no—
137C2×Q8×C43—41no—
138C2×Q8×C43—41no—
139C2×Q8×C43—41no—
140C2×Q8×C43—41no—
141C2×Q8×C43—41no—
142C2×Q8×C43—41no—
143C2×Q8×C43—41no—
144C2×Q8×C43—41no—
145C2×Q8×C43—41no—
146C2×Q8×C43—41no—
147C2×Q8×C43—41no—
148C2×Q8×C43—41no—
149C2×Q8×C43C22⋊C414yescomplemented
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—41no—
155C22×C4×C43—41no—
156C22×C4×C43—41no—
157C22×C4×C43—41no—
158C22×C4×C43C22×C411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43#4111yescharacteristic
169C22×C4×C43#4111yescharacteristic
170C22×C4×C43#4111yescharacteristic
171C22×C4×C43#4111yescharacteristic
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—44no—
177C2×D172—22no—
178C2×D172—22no—
179C2×D172—22no—
180C2×D172—22no—
181C2×D172—22no—
182C2×D172—22no—
183C2×D172—22no—
184C2×D172—22no—
185C2×D172—22no—
186C2×D172—22no—
187C2×D172—22no—
188C2×D172—22no—
189C2×D172—41no—
190C2×D172—41no—
191C2×D172—41no—
192C2×D172—41no—
193C2×D172—41no—
194C2×D172—41no—
195C2×D172—41no—
196C2×D172—41no—
197C2×D172—41no—
198C2×D172—41no—
199C2×D172—41no—
200C2×D172—41no—
201C2×D172—41no—
202C2×D172—41no—
203C2×D172—41no—
204C2×D172—41no—
205M16×C43—22no—
206M16×C43—22no—
207M16×C43—41no—
208M16×C43—41no—
209C2×C8×C43—22no—
210C2×C8×C43—41no—
211C2×C8×C43—41no—
212C4⋊C4×C43—22no—
213C4⋊C4×C43—22no—
214C22⋊C4×C43—41no—
215C22⋊C4×C43—41no—
216C42×C43—41no—
217C42×C43—41no—
218C22⋊Dic43—41no—
219C22⋊Dic43—41no—
220(C2×D43)⋊C4—232no—
221(C2×D43)⋊C4—88no—
222C4⋊Dic43—22no—
223C4⋊Dic43—22no—
224C4×Dic43—22no—
225C4×Dic43—22no—
226C4×Dic43—22no—
227C4×Dic43—41no—
228C4×Dic43—41no—
229C4×Dic43C22⋊C414yescomplemented
230#10621877—22no—
231#10621877—22no—
232#10621877—41no—
233#10621877—41no—
234C2×C43⋊C8—22no—
235C2×C43⋊C8—41no—
236C2×C43⋊C8—41no—
237C23×C43—24no—
238C23×C43C2×C22⋊C411yescharacteristic
239C23×C43#12011yescharacteristic
240C23×C43#12011yescharacteristic
241C23×C43#12011yescharacteristic
242C23×C43#12111yescharacteristic
243C23×C43#12111yescharacteristic
244C23×C43#12311yescharacteristic
245C22×D43—24no—
246C22×D43—24no—
247C22×D43—24no—
248C22×D43—48no—
249C22×D43—48no—
250C22×D43—48no—
251C22×D43—42no—
252C22×D43—42no—
253C22×D43—42no—
254C22×D43—42no—
255C22×D43—48no—
256C22×D43—84no—
257C22×D43—84no—
258C22×D43—84no—
259Q8×C43—24no—
260Q8×C43—24no—
261Q8×C43—42no—
262Q8×C43—42no—
263Q8×C43—42no—
264Q8×C43—42no—
265Q8×C43—42no—
266Q8×C43—42no—
267C2×C4×C43—24no—
268C2×C4×C43—42no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—44no—
276C2×C4×C43C2×C22⋊C411yescharacteristic
277C2×C4×C43C2×C22⋊C411yescharacteristic
278C2×C4×C43C4×D411yescharacteristic
279C2×C4×C43C4×D411yescharacteristic
280C2×C4×C43C4×D411yescharacteristic
281C2×C4×C43C4×D411yescharacteristic
282C2×C4×C43#12011yescharacteristic
283C2×C4×C43#12011yescharacteristic
284C2×C4×C43#12011yescharacteristic
285C2×C4×C43#12011yescharacteristic
286C2×C4×C43#12011yescharacteristic
287C2×C4×C43#12111yescharacteristic
288C2×C4×C43#12111yescharacteristic
289C2×C4×C43#12111yescharacteristic
290C2×C4×C43#12111yescharacteristic
291C2×C4×C43#12111yescharacteristic
292C2×C4×C43#12111yescharacteristic
293C2×C4×C43#12111yescharacteristic
294C2×C4×C43#12111yescharacteristic
295C2×C4×C43#12111yescharacteristic
296C2×C4×C43#12111yescharacteristic
297C2×C4×C43#12311yescharacteristic
298C2×C4×C43#12311yescharacteristic
299C2×C4×C43#12311yescharacteristic
300C2×C4×C43#12411yescharacteristic
301C2×C4×C43#12411yescharacteristic
302C2×C4×C43#12711yescharacteristic
303C2×C4×C43#12711yescharacteristic
304C2×Dic43—24no—
305C2×Dic43—44no—
306C2×Dic43—44no—
307C2×Dic43—44no—
308C2×Dic43—42no—
309C2×Dic43—44no—
310D172—42no—
311D172—42no—
312D172—42no—
313D172—42no—
314D172—42no—
315D172—42no—
316D172—42no—
317D172—42no—
318C8×C43—42no—
319C43⋊C8—42no—
320#10977—431nomaximal, Sylow
321C22×C43—22no—
322C22×C43—22no—
323C22×C43—22no—
324C22×C43—22no—
325C22×C43—22no—
326C22×C43—22no—
327C22×C43#37911yescharacteristic
328C22×C43#38611yescharacteristic
329C22×C43#38611yescharacteristic
330C22×C43#39211yescharacteristic
331C22×C43#39211yescharacteristic
332C22×C43#39411yescharacteristic
333C22×C43#39411yescharacteristic
334C22×C43#45514yes—
335C2×D43—48no—
336C2×D43—48no—
337C2×D43—44no—
338C2×D43—84no—
339C2×D43—84no—
340C2×D43—84no—
341C2×D43—84no—
342C2×D43—84no—
343C4×C43—44no—
344C4×C43—82no—
345C4×C43#38611yescharacteristic
346C4×C43#38611yescharacteristic
347C4×C43#39011yescharacteristic
348C4×C43#39011yescharacteristic
349C4×C43#39211yescharacteristic
350C4×C43#39211yescharacteristic
351C4×C43#39411yescharacteristic
352C4×C43#39411yescharacteristic
353Dic43—44no—
354Dic43—82no—
355C22×#124—431no—
356C2×#419—431no—
357C2×#419D4311yescharacteristic, complemented
358C22×#100—431no—
359#2309—431no—
360C2×#339—431no—
361C2×#339—431no—
362C2×C43—21no—
363C2×C43—21no—
364C2×C43—21no—
365C2×C43—21no—
366C2×C43#143811yescharacteristic
367C2×C43#188512yes—
368C2×C43#200412yes—
369C2×C43#200412yes—
370D43—84no—
371C23×Q8C2×D4311yescharacteristic
372C23×D4—431no—
373C22×M16—431no—
374C22×M16C2×D4311yescharacteristic
375C2×#124—434no—
376C2×#124—862no—
377C2×#124—862no—
378C2×#124—862no—
379C2×#124—862no—
380C2×#124—862no—
381C2×#117—431no—
382C2×#117C2×D4311yescharacteristic
383C22×C22⋊C4—862no—
384C22×C42—431no—
385#419—22no—
386#419—22no—
387#419—862no—
388#419—862no—
389C2×#103—22no—
390C2×#103—862no—
391C2×#100—862no—
392C2×#100—862no—
393C2×#100—862no—
394#390—862no—
395#390—862no—
396#379—862no—
397#339—862no—
398#339—862no—
399C43#1097711yescharacteristic, complemented, Sylow
400C25—432no—
401C22×Q8—21no—
402C22×Q8—21no—
403C22×Q8—21no—
404C22×Q8—21no—
405C22×Q8—21no—
406C22×Q8—21no—
407C22×Q8—21no—
408C22×Q8—21no—
409C22×Q8—21no—
410C22×Q8—21no—
411C22×Q8—21no—
412C22×Q8C4×D4312yes—
413C22×Q8D17212yes—
414C22×Q8C22⋊D4312yes—
415C22×D4—432no—
416C22×D4—432no—
417C22×D4—861no—
418C22×D4—861no—
419C22×D4—861no—
420C22×D4—861no—
421C22×D4—861no—
422C22×D4—861no—
423C22×D4—861no—
424C22×D4—861no—
425C22×D4—861no—
426C22×D4—861no—
427C22×D4—861no—
428C22×D4—861no—
429C23×C4—21no—
430C23×C4—861no—
431C23×C4C22×D4311yescharacteristic
432C2×M16—21no—
433C2×M16—21no—
434C2×M16—21no—
435C2×M16—21no—
436C2×M16—21no—
437C2×M16—432no—
438C2×M16—861no—
439C2×M16—861no—
440C2×M16—861no—
441C2×M16—861no—
442C2×M16—861no—
443C2×M16C22⋊D4312yes—
444C22×C8—21no—
445C22×C8—861no—
446#124—868no—
447#124—868no—
448#124—868no—
449#124—868no—
450#117—21no—
451#117—21no—
452#117—21no—
453#117—21no—
454#117—861no—
455#117—861no—
456#117—861no—
457#117—861no—
458C2×C4⋊C4—432no—
459C2×C4⋊C4C22⋊D4312yes—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—868no—
462C2×C22⋊C4—868no—
463C2×C22⋊C4—868no—
464C2×C22⋊C4—868no—
465C2×C22⋊C4—861no—
466C2×C42—21no—
467C2×C42—432no—
468C2×C42—432no—
469C2×C42—432no—
470C2×C42—861no—
471C2×C42—861no—
472C2×C42—861no—
473C2×C42—861no—
474#103—28no—
475#103—868no—
476#100—868no—
477C24—434no—
478C24—862no—
479C24—862no—
480C24—862no—
481C24—862no—
482C24—862no—
483C24—862no—
484C24—1728no—
485C24D4×D4311yescharacteristic
486C2×Q8—22no—
487C2×Q8—22no—
488C2×Q8—22no—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—22no—
492C2×Q8—22no—
493C2×Q8—22no—
494C2×Q8—22no—
495C2×Q8—22no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—22no—
500C2×Q8—22no—
501C2×Q8—41no—
502C2×Q8—41no—
503C2×Q8—41no—
504C2×Q8—41no—
505C2×Q8—41no—
506C2×Q8—41no—
507C2×Q8—41no—
508C2×Q8—41no—
509C2×Q8—41no—
510C2×Q8—41no—
511C2×Q8—41no—
512C2×Q8—41no—
513C2×Q8(C2×D43)⋊C414yescomplemented
514C2×D4—862no—
515C2×D4—862no—
516C2×D4—862no—
517C2×D4—862no—
518C2×D4—862no—
519C2×D4—862no—
520C2×D4—862no—
521C2×D4—862no—
522C2×D4—862no—
523C2×D4—862no—
524C2×D4—862no—
525C2×D4—862no—
526C2×D4—1721no—
527C2×D4—1721no—
528C2×D4—1721no—
529C2×D4—1721no—
530C2×D4—1721no—
531C2×D4—1721no—
532C2×D4—1721no—
533C2×D4—1721no—
534C2×D4—1721no—
535C2×D4—1721no—
536C2×D4—1721no—
537C2×D4—1721no—
538C2×D4—1721no—
539C2×D4—1721no—
540C2×D4—1721no—
541C2×D4—1721no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—41no—
547C22×C4—41no—
548C22×C4—41no—
549C22×C4—41no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—862no—
553C22×C4—862no—
554C22×C4—1724no—
555C22×C4C2×C4×D4311yescharacteristic
556C22×C4C2×D17211yescharacteristic
557C22×C4#1062189811yescharacteristic
558C22×C4#1062189811yescharacteristic
559C22×C4D4×D4311yescharacteristic
560C22×C4D4×D4311yescharacteristic
561C22×C4D4×D4311yescharacteristic
562C22×C4D4×D4311yescharacteristic
563C22×C4D4×D4311yescharacteristic
564C22×C4#1062190011yescharacteristic
565C22×C4#1062190011yescharacteristic
566C22×C4C2×C22⋊D4311yescharacteristic
567C22×C4C2×C22⋊D4311yescharacteristic
568C22×C4C2×C22⋊D4311yescharacteristic
569M16—22no—
570M16—22no—
571M16—41no—
572M16—41no—
573M16—862no—
574M16—862no—
575M16—1721no—
576M16—1721no—
577C2×C8—22no—
578C2×C8—41no—
579C2×C8—41no—
580C2×C8—862no—
581C2×C8—1721no—
582C2×C8—1721no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—862no—
586C4⋊C4—862no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—8632no—
590C22⋊C4—3448no—
591C22⋊C4—1721no—
592C22⋊C4—1721no—
593C42—41no—
594C42—41no—
595C42—434no—
596C42—862no—
597C42—862no—
598C42—862no—
599C42—1721no—
600C42—1721no—
601C23—24no—
602C23—864no—
603C23—864no—
604C23—864no—
605C23—3444no—
606C23—3444no—
607C23—3444no—
608C23—1728no—
609C23—1728no—
610C23—1728no—
611C23—1722no—
612C23—1722no—
613C23—1722no—
614C23—1722no—
615C23—1728no—
616C23C22⋊C4×D4311yescharacteristic
617C23#1306329311yescharacteristic
618C23#1306329311yescharacteristic
619C23#1306329511yescharacteristic
620C23#1306329611yescharacteristic
621C23#1306329811yescharacteristic
622C23#1306330711yescharacteristic
623Q8—24no—
624Q8—24no—
625Q8—42no—
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—42no—
631D4—1722no—
632D4—1722no—
633D4—1722no—
634D4—1722no—
635D4—1722no—
636D4—1722no—
637D4—1722no—
638D4—1722no—
639C2×C4—24no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—44no—
648C2×C4—864no—
649C2×C4—1722no—
650C2×C4—1724no—
651C2×C4—1724no—
652C2×C4—1724no—
653C2×C4—1724no—
654C2×C4C22⋊C4×D4311yescharacteristic
655C2×C4C2×(C2×D43)⋊C411yescharacteristic
656C2×C4(C22⋊D43)⋊C411yescharacteristic
657C2×C4(C22⋊D43)⋊C411yescharacteristic
658C2×C4C4×C22⋊D4311yescharacteristic
659C2×C4C4×C22⋊D4311yescharacteristic
660C2×C4#1306329311yescharacteristic
661C2×C4#1306329311yescharacteristic
662C2×C4#1306329411yescharacteristic
663C2×C4#1306329511yescharacteristic
664C2×C4#1306329511yescharacteristic
665C2×C4#1306329611yescharacteristic
666C2×C4#1306329711yescharacteristic
667C2×C4#1306329711yescharacteristic
668C2×C4#1306329711yescharacteristic
669C2×C4#1306329711yescharacteristic
670C2×C4#1306329811yescharacteristic
671C2×C4#1306329811yescharacteristic
672C2×C4#1306329811yescharacteristic
673C2×C4#1306329911yescharacteristic
674C2×C4#1306329911yescharacteristic
675C2×C4#1306330711yescharacteristic
676C2×C4#1306330811yescharacteristic
677C2×C4#1306330911yescharacteristic
678C2×C4#1306331111yescharacteristic
679C2×C4#1306331111yescharacteristic
680C2×C4#1306332111yescharacteristic
681C2×C4#1306332111yescharacteristic
682C8—42no—
683C8—1722no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—3444no—
691C22—3444no—
692C22—3444no—
693C22—3444no—
694C22—3444no—
695C22—1728no—
696C22—1728no—
697C22—1724no—
698C22#1458275411yescharacteristic
699C22#1458277511yescharacteristic
700C22#1458277511yescharacteristic
701C22#1458280711yescharacteristic
702C22#1458280811yescharacteristic
703C22#1458281411yescharacteristic
704C22#1458281511yescharacteristic
705C22#1458307514yes—
706C4—44no—
707C4—82no—
708C4—3442no—
709C4—1724no—
710C4#1458277611yescharacteristic
711C4#1458277811yescharacteristic
712C4#1458279911yescharacteristic
713C4#1458279911yescharacteristic
714C4#1458280711yescharacteristic
715C4#1458280811yescharacteristic
716C4#1458281411yescharacteristic
717C4#1458281511yescharacteristic
718C2—21no—
719C2—21no—
720C2—21no—
721C2—21no—
722C2—3444no—
723C2#1913283411yescharacteristic
724C2#1913498012yes—
725C2#1913562112yes—
726C2#1913562512yes—
subgroupG/H
centerC23#13063293
commutatorC22×C4×C43C22×C4
FrattiniC23×C4C22×D43
FittingC2×C43×#419C2
socleC23×C43#120
prime radicalC23×D172C22
cosocleC23×C4×C43C23
hypercenterC2×#419D43
hypocenterC43#10977
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#419

Complements

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

NH ≅ G/Ntype
2. C2×#14582908C2semidirect
5. C2×#14582660C2semidirect
6. C2×#14582658C2semidirect
7. C2×C43×#419C2semidirect
15. C2×#13063314C4semidirect
149. C2×Q8×C43C22⋊C4semidirect
229. C4×Dic43C22⋊C4semidirect
357. C2×#419D43semidirect
399. C43#10977semidirect
513. C2×Q8(C2×D43)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#130633142
C2×#145829082
C22×#130632412
#191371752
C2×#145826602
C2×#145826582
C2×C43×#4192
#1097743