Finite Group Databasebeta

← #31723473

Subgroups — #31723473

Order 17152.

2030 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16864027C211yesmaximal, characteristic, complemented
2#22573410C211yesmaximal, characteristic
3#22570076C214yesmaximal, complemented
4#22570065C214yesmaximal, complemented
5#22570049C214yesmaximal, complemented
6#22570038C214yesmaximal, complemented
7#22570030C214yesmaximal, complemented
8#22570022C214yesmaximal, complemented
9#22568798C211yesmaximal, characteristic, complemented
10#22568772C211yesmaximal, characteristic, complemented
11#22568729C211yesmaximal, characteristic
12C2×#16863395C211yesmaximal, characteristic
13C2×#428×C67C211yesmaximal, characteristic, complemented
14C22×#11761628C2211yescharacteristic
15C22×#11761612C2211yescharacteristic
16#16864027—22no—
17#16864027—22no—
18#16864027C2214yes—
19#16864027C2214yescomplemented
20C2×#14524042—21no—
21C2×#14524042C2212yescomplemented
22C2×#14524034—21no—
23C2×#14524034C2212yescomplemented
24C2×#14524022—22no—
25#16863877C2212yes—
26#16863877C2212yes—
27#16863876—21no—
28#16863876—21no—
29#16863873C2212yes—
30#16863870C2212yes—
31#16863869—22no—
32C4×#11761628—22no—
33#16863864C2214yes—
34C2×#14524002C2211yescharacteristic
35C2×#14524002C2211yescharacteristic
36#117×D67—22no—
37#16863706C2218yescomplemented
38#16863702C2218yescomplemented
39#16863699C2218yescomplemented
40#16863695C2218yescomplemented
41#16863690C2218yescomplemented
42#16863685C2218yescomplemented
43#16863680C2218yescomplemented
44#16863675C2218yescomplemented
45#16863439C2212yescomplemented
46#16863439C2212yescomplemented
47#16863436C2212yescomplemented
48#16863436C2212yescomplemented
49#16863432C2214yes—
50#16863424C2214yes—
51#16863422C2214yescomplemented
52#16863419C2214yescomplemented
53#16863406C2212yes—
54#16863402C2212yes—
55#16863398C2212yes—
56#16863398C2212yes—
57#16863395C2214yes—
58#16863395C2214yes—
59#16863393C2214yes—
60C2×#14523966C2212yes—
61C2×#14523963C2212yes—
62C22×M16×C67C2211yescharacteristic
63C2×#117×C67C2211yescharacteristic
64C22×C4⋊C4×C67C2211yescharacteristic
65#428×C67C2214yes—
66#428×C67C2214yescomplemented
67C2×#107×C67C2212yescomplemented
68C2×#106×C67C2212yescomplemented
69C2×#11761628—21no—
70C2×#11761628—21no—
71C2×#11761628—24no—
72C2×#11761628Q818yescomplemented
73C2×#11761628C2312yes—
74C2×#11761628C2312yes—
75C22×Dic134—22no—
76C22×Dic134C2311yescharacteristic
77C22×D268C2311yescharacteristic
78C22×C22⋊D67—21no—
79C22×C4×D67—21no—
80C2×#11761612—24no—
81C2×#11761612C2312yes—
82C2×#11761612C2312yes—
83C22×C67⋊C8C2312yes—
84#14524042—24no—
85#14524042—24no—
86#14524042—24no—
87#14524042C2318yes—
88#14524034—24no—
89#14524034—24no—
90#14524034—24no—
91#14524034C2318yes—
92#14524022—28no—
93#14524022—28no—
94C4×Dic134—22no—
95C4×Dic134—22no—
96#14524008C2314yes—
97#14524008C2314yes—
98C4×D268—22no—
99C4×D268—22no—
100#14524005C2314yes—
101#14524005C2314yes—
102C4×C22⋊D67—24no—
103C4×C22⋊D67—24no—
104(C22⋊D67)⋊C4—24no—
105(C22⋊D67)⋊C4—24no—
106#14524002—21no—
107#14524002—21no—
108#14524002D412yes—
109#14524002D412yes—
110#14524002C2312yes—
111#14524002C2312yes—
112#14524002C2312yes—
113#14524002C2312yes—
114#14524001—22no—
115#14524001—22no—
116#14524000—24no—
117#14523999—24no—
118C2×C4⋊Dic67—22no—
119C2×C4⋊Dic67D411yescharacteristic
120C2×C4⋊Dic67D411yescharacteristic
121C2×C4⋊Dic67C2311yescharacteristic
122C2×C4⋊Dic67C2311yescharacteristic
123C2×Dic67⋊C4—22no—
124C2×Dic67⋊C4—22no—
125C4⋊C4×D67—22no—
126C4⋊C4×D67—22no—
127C2×C22⋊Dic67—21no—
128C2×C22⋊Dic67D412yes—
129C22⋊C4×D67—24no—
130C2×C4×Dic67—21no—
131C2×C4×Dic67C2312yes—
132C42×D67—24no—
133#14523976C2314yes—
134#14523976C2314yes—
135#14523974C2314yes—
136#14523974C2314yes—
137Dic67⋊C8C2318yes—
138Dic67⋊C8C2318yes—
139#14523968C2314yes—
140#14523968C2314yes—
141#14523966C2318yes—
142#14523965C2314yes—
143#14523965C2314yes—
144#14523963C2318yes—
145C23×C4×C67—21no—
146C23×C4×C67C2311yescharacteristic
147C2×M16×C67—24no—
148C2×M16×C67C2312yes—
149C2×M16×C67C2312yes—
150C22×C8×C67C2312yes—
151#117×C67—21no—
152#117×C67—21no—
153#117×C67C2312yes—
154#117×C67C2312yes—
155C2×C4⋊C4×C67—21no—
156C2×C4⋊C4×C67—21no—
157C2×C4⋊C4×C67—21no—
158C2×C4⋊C4×C67C2312yes—
159C2×C4⋊C4×C67C2312yes—
160C2×C4⋊C4×C67C2312yes—
161C2×C4⋊C4×C67C2311yescharacteristic
162C2×C4⋊C4×C67C2311yescharacteristic
163C2×C22⋊C4×C67—21no—
164C2×C42×C67—21no—
165#107×C67C2318yes—
166#106×C67C2318yes—
167C23×D67—21no—
168#11761628—28no—
169#11761628—28no—
170#11761628—24no—
171#11761628—24no—
172#11761628C2×Q818yes—
173#11761628C2×Q818yescomplemented
174C2×Dic134—21no—
175C2×Dic134—22no—
176C2×Dic134—28no—
177C2×Dic134—84no—
178C2×Dic134C2×Q814yescomplemented
179C2×Dic134C2412yes—
180C2×D268—21no—
181C2×D268—22no—
182C2×D268C2×Q814yescomplemented
183C2×D268C2412yes—
184C2×C22⋊D67—28no—
185C2×C22⋊D67—22no—
186C2×C22⋊D67—22no—
187C22×Dic67—21no—
188C22×Dic67—21no—
189C22×Dic67—21no—
190C22×Dic67C2×D412yes—
191C22×Dic67C2×D412yes—
192C2×C4×D67—28no—
193C2×C4×D67—22no—
194C2×C4×D67—22no—
195C2×C4×D67—24no—
196C2×C4×D67—24no—
197#11761612—24no—
198#11761612—24no—
199C2×C67⋊C8—24no—
200C2×C67⋊C8C2414yes—
201C4⋊Dic67—21no—
202C4⋊Dic67—21no—
203C4⋊Dic67—28no—
204C4⋊Dic67C2×D412yes—
205C4⋊Dic67C2×D412yes—
206C4⋊Dic67C2×D412yes—
207C4⋊Dic67C2×D412yes—
208C4⋊Dic67C2412yes—
209C4⋊Dic67C2412yes—
210Dic67⋊C4—24no—
211Dic67⋊C4—24no—
212Dic67⋊C4—28no—
213Dic67⋊C4—28no—
214C22⋊Dic67—22no—
215C22⋊Dic67—22no—
216C22⋊Dic67C2×D414yes—
217C22⋊Dic67C2×D414yes—
218(C2×D67)⋊C4—24no—
219(C2×D67)⋊C4—24no—
220C4×Dic67—22no—
221C4×Dic67—22no—
222C4×Dic67—24no—
223C4×Dic67—24no—
224C4×Dic67C2×D414yes—
225C4×Dic67C2414yes—
226C24×C67C2×D411yescharacteristic
227C22×C4×C67—22no—
228C22×C4×C67—21no—
229C22×C4×C67—21no—
230C22×C4×C67—22no—
231C22×C4×C67—22no—
232C22×C4×C67—82no—
233C22×C4×C67C2×D411yescharacteristic
234C22×C4×C67C2×D411yescharacteristic
235C22×C4×C67C2×D411yescharacteristic
236C22×C4×C67C2×Q814yes—
237C22×C4×C67#4114yes—
238C22×C4×C67C2411yescharacteristic
239C22×C4×C67C2411yescharacteristic
240C22×C4×C67C2411yescharacteristic
241M16×C67—24no—
242M16×C67—24no—
243C2×C8×C67—24no—
244C2×C8×C67C2414yes—
245C4⋊C4×C67—22no—
246C4⋊C4×C67—22no—
247C4⋊C4×C67—22no—
248C4⋊C4×C67—21no—
249C4⋊C4×C67—21no—
250C4⋊C4×C67C2412yes—
251C4⋊C4×C67C2414yes—
252C4⋊C4×C67C2412yes—
253C22⋊C4×C67—22no—
254C22⋊C4×C67—22no—
255C42×C67—22no—
256C42×C67—22no—
257C23×C67—41no—
258C23×C67—41no—
259C23×C67C22⋊Q814yes—
260C23×C67C22×D411yescharacteristic
261C23×C67C22×D411yescharacteristic
262C23×C67C22×D411yescharacteristic
263C22×D67—22no—
264C22×D67—24no—
265C22×D67—81no—
266C22×D67—81no—
267C2×C4×C67—22no—
268C2×C4×C67—22no—
269C2×C4×C67—24no—
270C2×C4×C67—44no—
271C2×C4×C67—81no—
272C2×C4×C67—81no—
273C2×C4×C67—82no—
274C2×C4×C67—82no—
275C2×C4×C67C22⋊Q814yes—
276C2×C4×C67C22⋊Q814yes—
277C2×C4×C67C22⋊Q814yes—
278C2×C4×C67C22×D411yescharacteristic
279C2×C4×C67C22×D411yescharacteristic
280C2×C4×C67C22×D411yescharacteristic
281C2×C4×C67C22×Q812yes—
282C2×C4×C67C22×Q812yes—
283C2×C4×C67C22×Q812yes—
284C2×C4×C67C2×#4112yes—
285C2×C4×C67C2×#4112yes—
286C2×C4×C67C2×#4112yes—
287C2×C4×C67C2511yescharacteristic
288C22⋊D67—28no—
289C22⋊D67—28no—
290C2×Dic67—24no—
291C2×Dic67—22no—
292C2×Dic67—22no—
293C2×Dic67—22no—
294C2×Dic67—42no—
295C2×Dic67—42no—
296C2×Dic67—42no—
297C2×Dic67—42no—
298C2×Dic67C22×D414yes—
299C2×Dic67C22×D414yes—
300D268—24no—
301D268—22no—
302D268C22×Q814yes—
303C4×D67—28no—
304C4×D67—28no—
305C4×D67—84no—
306C4×D67—84no—
307Dic134—24no—
308Dic134—22no—
309Dic134—88no—
310Dic134C22×Q814yes—
311C8×C67—24no—
312C67⋊C8—24no—
313C22×C67—21no—
314C22×C67—21no—
315C22×C67—21no—
316C22×C67—21no—
317C22×C67—21no—
318C22×C67—21no—
319C22×C67—44no—
320C22×C67C2×C22⋊Q812yes—
321C22×C67C2×C22⋊Q812yes—
322C22×C67C2×C22⋊Q812yes—
323C22×C67C23×D411yescharacteristic
324C2×D67—24no—
325C2×D67—42no—
326C2×D67—42no—
327C2×D67—84no—
328C4×C67—44no—
329C4×C67—42no—
330C4×C67—42no—
331C4×C67C2×C22⋊Q812yes—
332C4×C67C2×C22⋊Q812yes—
333C4×C67C2×C22⋊Q812yes—
334C4×C67C23×Q811yescharacteristic
335C4×C67C22×#4111yescharacteristic
336Dic67—24no—
337Dic67—24no—
338Dic67—24no—
339Dic67—42no—
340Dic67—42no—
341#60493—671nomaximal, Sylow
342C2×C67—22no—
343C2×C67—22no—
344C2×C67—22no—
345C2×C67C22×C22⋊Q811yescharacteristic
346C2×C67#358511yescharacteristic
347C2×C67#358611yescharacteristic
348D67—44no—
349C2×#544—671no—
350#3428—671no—
351#3084—674no—
352#3083—674no—
353#3082—674no—
354#3081—674no—
355#3080—674no—
356#3079—674no—
357#2911—671no—
358C2×#428D6711yescharacteristic, complemented
359#2905—671no—
360#2896—671no—
361C2×#417—671no—
362C67#6049311yescharacteristic, complemented, Sylow
363C22×#41—671no—
364C22×M16—671no—
365C22×M16C2×D6711yescharacteristic
366#544—674no—
367#544—674no—
368#544—1342no—
369#544—1342no—
370C2×C4⋊Q8—672no—
371C2×C4⋊Q8—1341no—
372C2×#125—672no—
373C2×#125—1341no—
374C2×C22⋊Q8—1342no—
375#520—672no—
376#520—672no—
377#520—1341no—
378#520—1341no—
379#519—672no—
380#518—672no—
381#518—1342no—
382C4×#41—674no—
383C4×#41—1342no—
384C2×#117—671no—
385C2×#117—671no—
386C2×#117—1342no—
387C2×#117C2×D6711yescharacteristic
388C22×C4⋊C4C2×D6711yescharacteristic
389#479—678no—
390#479—678no—
391#478—678no—
392#478—678no—
393#477—678no—
394#476—678no—
395#475—678no—
396#474—678no—
397#428—672no—
398#428—672no—
399#428—672no—
400#428—672no—
401#428C2×D6714yes—
402#428C2×D6714yescomplemented
403#427—674no—
404C2×#107C2×D6712yescomplemented
405C2×#106C2×D6712yescomplemented
406#424—674no—
407#424—674no—
408#423—674no—
409#419—672no—
410#418—672no—
411#417—672no—
412#417—672no—
413#417—674no—
414#417—674no—
415#416—674no—
416C2×#103—672no—
417C2×#102—672no—
418C2×#41—678no—
419C2×#41—672no—
420C2×#41—672no—
421C2×#41—1341no—
422C2×#41—1341no—
423C2×#41—1344no—
424C22×Q8—671no—
425C22×Q8—1342no—
426C22×D4—671no—
427C22×D4—1341no—
428C23×C4—21no—
429C23×C4—1341no—
430C23×C4C22×D6711yescharacteristic
431C2×M16—24no—
432C2×M16—672no—
433C2×M16—672no—
434C2×M16—1344no—
435C2×M16C22×D6712yes—
436C2×M16C22×D6712yes—
437C22×C8—672no—
438C22×C8C22×D6712yes—
439C4⋊Q8—678no—
440C4⋊Q8—1344no—
441C4⋊Q8—1344no—
442C4⋊Q8—1344no—
443#125—678no—
444#125—1344no—
445#125—1344no—
446#125—1344no—
447C22⋊Q8—1348no—
448C22⋊Q8—1348no—
449C4×Q8—674no—
450C4×Q8—674no—
451C4×Q8—1342no—
452C4×Q8—1342no—
453C4×D4—674no—
454C4×D4—674no—
455C4×D4—1342no—
456C4×D4—1342no—
457C4×D4—1344no—
458C4×D4—1344no—
459C4×D4—1344no—
460C4×D4—1344no—
461#117—21no—
462#117—21no—
463#117—672no—
464#117—672no—
465#117—672no—
466#117—672no—
467#117—672no—
468#117—672no—
469#117—1344no—
470#117—1344no—
471#117—1342no—
472#117—1342no—
473#117—1341no—
474#117—1341no—
475#117C22×D6712yes—
476#117C22×D6712yes—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—671no—
481C2×C4⋊C4—671no—
482C2×C4⋊C4—671no—
483C2×C4⋊C4—671no—
484C2×C4⋊C4—1342no—
485C2×C4⋊C4—1342no—
486C2×C4⋊C4—1342no—
487C2×C4⋊C4—1342no—
488C2×C4⋊C4—1342no—
489C2×C4⋊C4C22×D6712yes—
490C2×C4⋊C4C22×D6712yes—
491C2×C4⋊C4C22×D6712yes—
492C2×C4⋊C4C22×D6711yescharacteristic
493C2×C4⋊C4C22×D6711yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—672no—
496C2×C22⋊C4—1344no—
497C2×C22⋊C4—1341no—
498C2×C42—21no—
499C2×C42—672no—
500C2×C42—1344no—
501C2×C42—1341no—
502#107—674no—
503#107—674no—
504#107C22×D6718yes—
505#106—674no—
506#106—674no—
507#106C22×D6718yes—
508C4⋊C8—678no—
509C4⋊C8—678no—
510#103—674no—
511#103—674no—
512#103—678no—
513#102—674no—
514#102—674no—
515#102—678no—
516C24—1341no—
517C24D4×D6711yescharacteristic
518#41—678no—
519#41—678no—
520#41—1348no—
521#41—1348no—
522#41—1344no—
523#41—1344no—
524C2×Q8—5364no—
525C2×Q8—674no—
526C2×Q8—672no—
527C2×Q8—1348no—
528C2×Q8—1341no—
529C2×Q8—1342no—
530C2×D4—674no—
531C2×D4—672no—
532C2×D4—1348no—
533C2×D4—1342no—
534C2×D4—1342no—
535C2×D4—1341no—
536C2×D4—1342no—
537C22×C4—22no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—82no—
543C22×C4—672no—
544C22×C4—672no—
545C22×C4—1344no—
546C22×C4—1344no—
547C22×C4—1341no—
548C22×C4—1341no—
549C22×C4—1341no—
550C22×C4—1348no—
551C22×C4—1342no—
552C22×C4—1342no—
553C22×C4D4×D6711yescharacteristic
554C22×C4D4×D6711yescharacteristic
555C22×C4D4×D6711yescharacteristic
556C22×C4Q8×D6714yes—
557C22×C4#1176162814yes—
558C22×C4C23×D6711yescharacteristic
559C22×C4C23×D6711yescharacteristic
560C22×C4C23×D6711yescharacteristic
561M16—24no—
562M16—24no—
563M16—1344no—
564M16—1344no—
565C2×C8—24no—
566C2×C8—674no—
567C2×C8—1344no—
568C2×C8C23×D6714yes—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—672no—
575C4⋊C4—672no—
576C4⋊C4—672no—
577C4⋊C4—672no—
578C4⋊C4—672no—
579C4⋊C4—672no—
580C4⋊C4—1344no—
581C4⋊C4—1344no—
582C4⋊C4—1348no—
583C4⋊C4—1348no—
584C4⋊C4—1348no—
585C4⋊C4—1341no—
586C4⋊C4—1341no—
587C4⋊C4C23×D6714yes—
588C4⋊C4C23×D6712yes—
589C4⋊C4C23×D6712yes—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—674no—
593C22⋊C4—674no—
594C22⋊C4—1344no—
595C22⋊C4—1344no—
596C22⋊C4—1342no—
597C22⋊C4—1342no—
598C42—22no—
599C42—22no—
600C42—674no—
601C42—674no—
602C42—1344no—
603C42—1344no—
604C42—1342no—
605C42—1342no—
606C23—41no—
607C23—41no—
608C23—5361no—
609C23—5361no—
610C23—1342no—
611C23—1344no—
612C23#1452402114yes—
613C23C2×D4×D6711yescharacteristic
614C23C2×D4×D6711yescharacteristic
615C23C2×D4×D6711yescharacteristic
616Q8—5368no—
617Q8—674no—
618Q8—1344no—
619Q8—1342no—
620D4—674no—
621D4—1348no—
622D4—1348no—
623D4—1344no—
624D4—1342no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—44no—
629C2×C4—82no—
630C2×C4—82no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—2682no—
634C2×C4—2682no—
635C2×C4—2682no—
636C2×C4—2682no—
637C2×C4—5364no—
638C2×C4—5364no—
639C2×C4—674no—
640C2×C4—674no—
641C2×C4—1342no—
642C2×C4—1342no—
643C2×C4—1344no—
644C2×C4—1342no—
645C2×C4—1348no—
646C2×C4—1348no—
647C2×C4#1452402114yes—
648C2×C4#1452402114yes—
649C2×C4#1452402114yes—
650C2×C4C2×D4×D6711yescharacteristic
651C2×C4C2×D4×D6711yescharacteristic
652C2×C4C2×D4×D6711yescharacteristic
653C2×C4C2×Q8×D6712yes—
654C2×C4C2×Q8×D6712yes—
655C2×C4C2×Q8×D6712yes—
656C2×C4C2×#1176162812yes—
657C2×C4C2×#1176162812yes—
658C2×C4C2×#1176162812yes—
659C2×C4C24×D6711yescharacteristic
660C8—24no—
661C8—1344no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—44no—
669C22—2682no—
670C22—2682no—
671C22—5364no—
672C22—1344no—
673C22C2×#1452402112yes—
674C22C2×#1452402112yes—
675C22C2×#1452402112yes—
676C22C22×D4×D6711yescharacteristic
677C4—44no—
678C4—42no—
679C4—42no—
680C4—2682no—
681C4—2682no—
682C4—1344no—
683C4—1344no—
684C4—1344no—
685C4C2×#1452402112yes—
686C4C2×#1452402112yes—
687C4C2×#1452402112yes—
688C4C22×Q8×D6711yescharacteristic
689C4C22×#1176162811yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—2684no—
694C2C22×#1452402111yescharacteristic
695C2#2257498511yescharacteristic
696C2#2257499211yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC2×#428×C67C2
socleC22×C67C23×D4
prime radicalC22×#11761628C22
hypercenterC2×#428D67
hypocenterC67#60493
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
1. C2×#16864027C2semidirect
3. #22570076C2semidirect
4. #22570065C2semidirect
5. #22570049C2semidirect
6. #22570038C2semidirect
7. #22570030C2semidirect
8. #22570022C2semidirect
9. #22568798C2semidirect
10. #22568772C2semidirect
13. C2×#428×C67C2semidirect
19. #16864027C22semidirect
21. C2×#14524042C22semidirect
23. C2×#14524034C22semidirect
37. #16863706C22semidirect
38. #16863702C22semidirect
39. #16863699C22semidirect
40. #16863695C22semidirect
41. #16863690C22semidirect
42. #16863685C22semidirect
43. #16863680C22semidirect
44. #16863675C22semidirect
45. #16863439C22semidirect
46. #16863439C22semidirect
47. #16863436C22semidirect
48. #16863436C22semidirect
51. #16863422C22semidirect
52. #16863419C22semidirect
66. #428×C67C22semidirect
67. C2×#107×C67C22semidirect
68. C2×#106×C67C22semidirect
72. C2×#11761628Q8semidirect
173. #11761628C2×Q8semidirect
178. C2×Dic134C2×Q8semidirect
182. C2×D268C2×Q8semidirect
358. C2×#428D67semidirect
362. C67#60493semidirect
402. #428C2×D67semidirect
404. C2×#107C2×D67semidirect
405. C2×#106C2×D67semidirect

Maximal subgroups

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

subgroupindex
C2×#168640272
#225734102
#225700762
#225700652
#225700492
#225700382
#225700302
#225700222
#225687982
#225687722
#225687292
C2×#168633952
C2×#428×C672
#6049367