Finite Group Databasebeta

← #29686911

Subgroups — #29686911

Order 15616.

938 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840030C211yesmaximal, characteristic
2C4×#14519802C211yesmaximal, characteristic, complemented
3C2×#16839872C211yesmaximal, characteristic, complemented
4#21454247C211yesmaximal, characteristic, complemented
5#21446728C211yesmaximal, characteristic, complemented
6#21446596C211yesmaximal, characteristic, complemented
7#21446484C211yesmaximal, characteristic, complemented
8#21446480C211yesmaximal, characteristic, complemented
9#21446329C211yesmaximal, characteristic, complemented
10#21446325C211yesmaximal, characteristic, complemented
11#21445876C211yesmaximal, characteristic, complemented
12#21445726C211yesmaximal, characteristic, complemented
13C4×#14519693C211yesmaximal, characteristic, complemented
14C4×#14519694C211yesmaximal, characteristic, complemented
15C4×AGL(1,ℤ/8)×C61C211yesmaximal, characteristic, complemented
16C2×#14519802C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C2×#14519784C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16840030C418yescomplemented
22#16839872—21no—
23#16839872—21no—
24#16839872—21no—
25#16839872—21no—
26#16839872—21no—
27#16839860—21no—
28C4×#11758201—21no—
29C4×#11758199—21no—
30C2×#14519712C2211yescharacteristic
31C2×#14519712C2211yescharacteristic
32#16839805C2211yescharacteristic
33C2×#14519708C2211yescharacteristic
34#16839766C2211yescharacteristic
35#16839763C2211yescharacteristic
36C2×#14519698C2211yescharacteristic
37C2×#14519697C2211yescharacteristic
38C2×#14519694C2211yescharacteristic
39C2×#14519694C2211yescharacteristic
40C2×#14519693C2211yescharacteristic
41C2×#14519693C2211yescharacteristic
42#16839718—21no—
43#16839718—21no—
44#16839718C2211yescharacteristic
45#16839718C2211yescharacteristic
46C4×#11758194—21no—
47C4×#11758194C2211yescharacteristic
48C4×#11758194C2211yescharacteristic
49C2×#14519688—21no—
50C2×#14519688C2211yescharacteristic
51#16839531C2211yescharacteristic
52#16839531C2211yescharacteristic
53#16839530C2211yescharacteristic
54#16839530C2211yescharacteristic
55#16839526C2211yescharacteristic
56#16839526C2211yescharacteristic
57C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
58C4×#41×C61C2211yescharacteristic
59C2×C4×D4×C61C2211yescharacteristic
60C61×#442—21no—
61C61×#440—21no—
62C4×SD16×C61—21no—
63C4×D8×C61—21no—
64C61×#428C2211yescharacteristic
65C61×#418C2211yescharacteristic
66C61×#417C2211yescharacteristic
67C4×M16×C61C2211yescharacteristic
68C22×D244C2311yescharacteristic
69C22×C4×D61—21no—
70#14519802—22no—
71#14519802C2×C414yescomplemented
72C2×#11758201—21no—
73C2×#11758199—21no—
74C2×#11758199—21no—
75C2×#11758199—21no—
76C2×#11758199—22no—
77C2×#11758199C2×C414yescomplemented
78#14519784—22no—
79#14519784—22no—
80#14519784—22no—
81#14519784C2×C414yescomplemented
82C2×#11758194—21no—
83C2×#11758194—21no—
84C2×#11758194C2311yescharacteristic
85C2×#11758194C2311yescharacteristic
86C2×#11758194C2311yescharacteristic
87C2×#11758194C2311yescharacteristic
88C22×#92418—21no—
89C22×#92418—21no—
90C22×#92418C2311yescharacteristic
91C22×#92418C2311yescharacteristic
92C4×D244—21no—
93C4×D244—21no—
94C4×D244—21no—
95C4×D244—21no—
96C2×C4⋊Dic61C2311yescharacteristic
97C2×#11758198—21no—
98#14519712—22no—
99#14519712C2×C414yescomplemented
100#14519710—21no—
101#14519708—21no—
102#14519708—21no—
103#14519708—21no—
104#14519701—21no—
105#14519698—21no—
106#14519698—21no—
107#14519698—21no—
108#14519697—21no—
109#14519697—21no—
110#14519697—21no—
111#14519697—21no—
112#14519694—22no—
113#14519694C2×C414yescomplemented
114#14519693—22no—
115#14519693C2×C414yescomplemented
116#14519688—21no—
117#14519688—21no—
118#14519688—21no—
119#14519688—21no—
120#14519688D411yescharacteristic
121#14519688D411yescharacteristic
122#14519688D411yescharacteristic
123#14519688D411yescharacteristic
124C4×#92418—21no—
125C4×#92418—21no—
126C4×#92418—21no—
127C4×#92418—21no—
128C2×#41×C61C2311yescharacteristic
129C22×D4×C61C2311yescharacteristic
130C23×C4×C61—21no—
131AGL(1,ℤ/8)×C61—22no—
132AGL(1,ℤ/8)×C61C2×C414yescomplemented
133C2×SD16×C61—21no—
134C2×D8×C61—21no—
135C2×M16×C61C2311yescharacteristic
136C2×M16×C61C2311yescharacteristic
137C4×Q8×C61D411yescharacteristic
138C4×Q8×C61D411yescharacteristic
139C4×D4×C61—21no—
140C4×D4×C61—21no—
141C4×D4×C61—21no—
142C4×D4×C61—21no—
143C4×D4×C61—21no—
144C4×D4×C61—21no—
145C4×D4×C61D411yescharacteristic
146C4×D4×C61D411yescharacteristic
147#117×C61—21no—
148#117×C61C2311yescharacteristic
149C2×C4⋊C4×C61C2311yescharacteristic
150C2×C22⋊C4×C61—21no—
151C2×C42×C61—21no—
152C2×C42×C61C2311yescharacteristic
153#107×C61—21no—
154#106×C61—21no—
155#103×C61—21no—
156#102×C61—21no—
157#102×C61—21no—
158#102×C61—21no—
159#97×C61—21no—
160C4×C8×C61—21no—
161C24×C61—21no—
162C23×D61—21no—
163#41×C61—21no—
164#41×C61—21no—
165#41×C61C22×C412yes—
166#41×C61#4112yes—
167C2×Q8×C61C2×D411yescharacteristic
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61—21no—
174C2×D4×C61C22×C412yes—
175C2×D4×C61C2×D411yescharacteristic
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—21no—
179C22×C4×C61—21no—
180C22×C4×C61—41no—
181C22×C4×C61—41no—
182C22×C4×C61—82no—
183C22×C4×C61#4111yescharacteristic
184C22×C4×C61#4111yescharacteristic
185C22×C4×C61C2411yescharacteristic
186C22×Dic61—21no—
187C2×D244—21no—
188C2×D244—21no—
189C2×D244—21no—
190C2×D244—21no—
191C2×D244—21no—
192C2×D244C22×C412yes—
193C2×C4×D61—41no—
194C2×C4×D61—41no—
195C2×C4×D61—82no—
196SD16×C61—24no—
197D8×C61—24no—
198M16×C61—21no—
199M16×C61—21no—
200M16×C61—21no—
201M16×C61C22×C412yes—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61C2×D411yescharacteristic
209C4⋊C4×C61C2×D411yescharacteristic
210C22⋊C4×C61—21no—
211C22⋊C4×C61—21no—
212C22⋊C4×C61—21no—
213C22⋊C4×C61—41no—
214C22⋊C4×C61—41no—
215C42×C61—21no—
216C42×C61—21no—
217C42×C61—21no—
218C42×C61C2×D411yescharacteristic
219C42×C61C2×D411yescharacteristic
220C42×C61C2×D411yescharacteristic
221C42×C61C2×D411yescharacteristic
222#11758201—24no—
223#11758199—24no—
224#11758199—24no—
225#11758199—24no—
226#11758198—41no—
227#11758198—41no—
228C4⋊Dic61—21no—
229C4⋊Dic61—21no—
230#11758194—24no—
231#11758194—21no—
232#11758194—21no—
233#11758194—21no—
234#11758194—24no—
235#11758194—21no—
236#11758194—21no—
237#11758194C22×C412yes—
238#11758194C22×C412yes—
239#11758194#4112yes—
240C2×#92418—24no—
241C2×#92418—21no—
242C2×#92418—21no—
243C2×#92418—21no—
244C2×#92418—21no—
245C2×#92418—21no—
246C2×#92418—24no—
247C2×#92418—21no—
248C2×#92418C22×C412yes—
249C2×#92418C2×D411yescharacteristic
250C2×#92418C2×D411yescharacteristic
251C2×#92418C2×D411yescharacteristic
252C2×#92418C2×D411yescharacteristic
253C2×#92418#4112yes—
254C23×C61—21no—
255C23×C61—22no—
256C23×C61—41no—
257C23×C61—41no—
258C23×C61—81no—
259C23×C61—81no—
260C23×C61C2×#4111yescharacteristic
261C22×D61—22no—
262C22×D61—41no—
263C22×D61—41no—
264C22×D61—81no—
265C22×D61—81no—
266Q8×C61—21no—
267Q8×C61C4×D412yes—
268D4×C61—22no—
269D4×C61—22no—
270D4×C61—22no—
271D4×C61—22no—
272D4×C61—21no—
273D4×C61—41no—
274D4×C61—41no—
275D4×C61C4×D412yes—
276C2×C4×C61—21no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—81no—
285C2×C4×C61—81no—
286C2×C4×C61—82no—
287C2×C4×C61—82no—
288C2×C4×C61—81no—
289C2×C4×C61#12111yescharacteristic
290C2×C4×C61#12111yescharacteristic
291C2×C4×C61#12111yescharacteristic
292C2×C4×C61#12111yescharacteristic
293C2×C4×C61C23×C411yescharacteristic
294C2×C4×C61C22×D411yescharacteristic
295C2×C4×C61C22×D411yescharacteristic
296C2×C4×C61C2×#4111yescharacteristic
297C2×C4×C61C2×#4111yescharacteristic
298C2×C4×C61C2×#4111yescharacteristic
299C2×Dic61—41no—
300C2×Dic61—81no—
301D244—22no—
302D244—22no—
303D244—41no—
304D244—41no—
305C4×D61—82no—
306C4×D61—82no—
307C8×C61—22no—
308C8×C61—41no—
309#92418—22no—
310#92418—22no—
311#92418—21no—
312#92418—22no—
313#92418—21no—
314#92418—41no—
315#92418C4×D412yes—
316#92418C4×D412yes—
317#21555—611nomaximal, Sylow
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—22no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—42no—
324C22×C61—82no—
325C22×C61—82no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61C4×#4111yescharacteristic
329C22×C61C2×#12111yescharacteristic
330C22×C61#52911yescharacteristic
331C2×D61—42no—
332C2×D61—82no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—82no—
336C4×C61—22no—
337C4×C61—21no—
338C4×C61—21no—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—81no—
344C4×C61C2×C4×D411yescharacteristic
345C4×C61C2×C4×D411yescharacteristic
346C4×C61#52511yescharacteristic
347C4×C61#53211yescharacteristic
348Dic61—81no—
349C2×#472—611no—
350C4×AGL(1,ℤ/8)—611no—
351C4×AGL(1,ℤ/8)D6111yescharacteristic, complemented
352C2×#442—611no—
353#2875—611no—
354#1978—611no—
355#1951—611no—
356#1931—611no—
357#1931—611no—
358#1907—611no—
359#1907—611no—
360#1815—611no—
361#1778—611no—
362C4×#100—611no—
363C4×#100—611no—
364C2×C61—21no—
365C2×C61—21no—
366C2×C61—42no—
367C2×C61—82no—
368C2×C61C4×#12111yescharacteristic
369C2×C61#306811yescharacteristic
370C2×C61#306811yescharacteristic
371D61—82no—
372C2×AGL(1,ℤ/8)—611no—
373C2×AGL(1,ℤ/8)C2×D6111yescharacteristic
374C22×D8—611no—
375C2×#131—611no—
376C2×#131—611no—
377C4×#41C2×D6111yescharacteristic
378C2×C4×D4—611no—
379C2×C4×D4C2×D6111yescharacteristic
380#472—618no—
381#442—21no—
382#442—1221no—
383#442—1221no—
384#442—1221no—
385#442—1221no—
386#442—1221no—
387#440—21no—
388#440—1221no—
389C4×SD16—21no—
390C4×SD16—1221no—
391C4×D8—21no—
392C4×D8—1221no—
393C2×#108—611no—
394C2×#108—611no—
395#428—611no—
396#428C2×D6111yescharacteristic
397C2×#106—611no—
398#418—611no—
399#418C2×D6111yescharacteristic
400#417—611no—
401#417C2×D6111yescharacteristic
402C2×#102—611no—
403C2×#102—611no—
404C2×#100—611no—
405C2×#100—611no—
406C2×#100—611no—
407C2×#100—611no—
408#405—611no—
409#405—611no—
410#405—1221no—
411#405—1221no—
412C4×M16—611no—
413C4×M16—611no—
414C4×M16—1221no—
415C4×M16C2×D6111yescharacteristic
416C2×#97—611no—
417C2×#97—1221no—
418#343—611no—
419#343—611no—
420#343—611no—
421#343—611no—
422#341—611no—
423#341—611no—
424C61#2155511yescharacteristic, complemented, Sylow
425C2×#41C22×D6111yescharacteristic
426C22×D4—611no—
427C22×D4C22×D6111yescharacteristic
428C23×C4—21no—
429C23×C4—1221no—
430AGL(1,ℤ/8)—22no—
431AGL(1,ℤ/8)—614no—
432AGL(1,ℤ/8)—1222no—
433AGL(1,ℤ/8)C4×D6114yescomplemented
434C2×SD16—21no—
435C2×SD16—1221no—
436C2×D8—21no—
437C2×D8—614no—
438C2×D8—1221no—
439C2×D8—1221no—
440C2×D8—1222no—
441C2×D8—1221no—
442#131—614no—
443#131—1222no—
444#131—1222no—
445#131—1222no—
446C2×M16—611no—
447C2×M16—611no—
448C2×M16—611no—
449C2×M16—611no—
450C2×M16—1221no—
451C2×M16—1221no—
452C2×M16C22×D6111yescharacteristic
453C2×M16C22×D6111yescharacteristic
454C22×C8—611no—
455C22×C8—611no—
456C22×C8—1221no—
457C22×C8—1221no—
458C4×Q8C22⋊D6111yescharacteristic
459C4×Q8C22⋊D6111yescharacteristic
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—1221no—
467C4×D4—1221no—
468C4×D4—1221no—
469C4×D4—1221no—
470C4×D4C22⋊D6111yescharacteristic
471C4×D4C22⋊D6111yescharacteristic
472#117—21no—
473#117C22×D6111yescharacteristic
474C2×C4⋊C4—611no—
475C2×C4⋊C4C22×D6111yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—1221no—
478C2×C42—21no—
479C2×C42C22×D6111yescharacteristic
480#108—614no—
481#108—1222no—
482#107—21no—
483#107—1221no—
484#106—21no—
485#106—1221no—
486#106—1221no—
487#106—1221no—
488#103—21no—
489#103—1221no—
490#102—21no—
491#102—21no—
492#102—21no—
493#102—1221no—
494#102—1221no—
495#102—1221no—
496#102—1221no—
497#102—1221no—
498#102—1221no—
499#102—1221no—
500#100—614no—
501#100—614no—
502#100—1222no—
503#100—1222no—
504#97—21no—
505#97—611no—
506#97—611no—
507#97—611no—
508#97—611no—
509#97—1221no—
510#97—1221no—
511#97—1221no—
512#97—1221no—
513C4×C8—21no—
514C4×C8—1221no—
515C4×C8—1221no—
516C4×C8—1221no—
517C4×C8—1221no—
518C24—21no—
519C24—1221no—
520#41—21no—
521#41—21no—
522#41C2×C4×D6112yes—
523#41#1175822212yes—
524C2×Q8C2×C22⋊D6111yescharacteristic
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—612no—
532C2×D4—1221no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—1221no—
536C2×D4—1221no—
537C2×D4C2×C4×D6112yes—
538C2×D4C2×C22⋊D6111yescharacteristic
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—41no—
544C22×C4—41no—
545C22×C4—82no—
546C22×C4—1221no—
547C22×C4—4882no—
548C22×C4—2441no—
549C22×C4—2441no—
550C22×C4#1175822411yescharacteristic
551C22×C4#1175822411yescharacteristic
552C22×C4C23×D6111yescharacteristic
553SD16—24no—
554SD16—1224no—
555D8—24no—
556D8—1224no—
557D8—1224no—
558D8—1224no—
559M16—21no—
560M16—21no—
561M16—21no—
562M16—612no—
563M16—612no—
564M16—612no—
565M16—1224no—
566M16—1224no—
567M16—1221no—
568M16—1221no—
569M16—1221no—
570M16—1221no—
571M16—1221no—
572M16C2×C4×D6112yes—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—612no—
576C2×C8—611no—
577C2×C8—611no—
578C2×C8—612no—
579C2×C8—611no—
580C2×C8—611no—
581C2×C8—1224no—
582C2×C8—1224no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8—1221no—
587C2×C8—1221no—
588C2×C8—1221no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4C2×C22⋊D6111yescharacteristic
596C4⋊C4C2×C22⋊D6111yescharacteristic
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—41no—
601C22⋊C4—41no—
602C22⋊C4—2441no—
603C22⋊C4—2441no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42D4×D6111yescharacteristic
608C42D4×D6111yescharacteristic
609C42C2×C22⋊D6111yescharacteristic
610C42C2×C22⋊D6111yescharacteristic
611C23—21no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—81no—
616C23—81no—
617C23—1222no—
618C23—4881no—
619C23—4881no—
620C23—2441no—
621C23—2441no—
622C23C2×#1175822411yescharacteristic
623Q8—21no—
624Q8C4×C22⋊D6112yes—
625D4—22no—
626D4—22no—
627D4—22no—
628D4—22no—
629D4—21no—
630D4—41no—
631D4—41no—
632D4—1222no—
633D4—1222no—
634D4—2441no—
635D4—2441no—
636D4C4×C22⋊D6112yes—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—81no—
646C2×C4—81no—
647C2×C4—82no—
648C2×C4—82no—
649C2×C4—81no—
650C2×C4—4882no—
651C2×C4—4882no—
652C2×C4—4881no—
653C2×C4—2441no—
654C2×C4#1451974911yescharacteristic
655C2×C4#1451974911yescharacteristic
656C2×C4#1451974911yescharacteristic
657C2×C4#1451974911yescharacteristic
658C2×C4C22×C4×D6111yescharacteristic
659C2×C4C2×D4×D6111yescharacteristic
660C2×C4C22×C22⋊D6111yescharacteristic
661C2×C4#41×D6111yescharacteristic
662C2×C4#41×D6111yescharacteristic
663C2×C4C2×#1175822211yescharacteristic
664C8—22no—
665C8—41no—
666C8—612no—
667C8—612no—
668C8—1222no—
669C8—1222no—
670C8—1221no—
671C8—1221no—
672C8—1222no—
673C8—2441no—
674C22—21no—
675C22—21no—
676C22—22no—
677C22—41no—
678C22—41no—
679C22—42no—
680C22—82no—
681C22—82no—
682C22—81no—
683C22—81no—
684C22—4882no—
685C22—4882no—
686C22—4881no—
687C22—4881no—
688C22—2442no—
689C22C4×#1175822411yescharacteristic
690C22C2×#1451974911yescharacteristic
691C22#1684029211yescharacteristic
692C4—22no—
693C4—21no—
694C4—21no—
695C4—21no—
696C4—21no—
697C4—41no—
698C4—41no—
699C4—81no—
700C4—4881no—
701C4C4×D4×D6111yescharacteristic
702C4C2×C4×C22⋊D6111yescharacteristic
703C4#1684027111yescharacteristic
704C4#1684030811yescharacteristic
705C2—21no—
706C2—21no—
707C2—42no—
708C2—82no—
709C2—4882no—
710C2C4×#1451974911yescharacteristic
711C2#2145554411yescharacteristic
712C2#2145554911yescharacteristic
subgroupG/H
centerC22C2×#14519749
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC4×AGL(1,ℤ/8)×C61C2
socleC22×C61C2×#121
prime radicalC2×#16840030C2
cosocleC22×C4×C61C24
hypercenterC4×AGL(1,ℤ/8)D61
hypocenterC61#21555
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
2. C4×#14519802C2semidirect
3. C2×#16839872C2semidirect
4. #21454247C2semidirect
5. #21446728C2semidirect
6. #21446596C2semidirect
7. #21446484C2semidirect
8. #21446480C2semidirect
9. #21446329C2semidirect
10. #21446325C2semidirect
11. #21445876C2semidirect
12. #21445726C2semidirect
13. C4×#14519693C2semidirect
14. C4×#14519694C2semidirect
15. C4×AGL(1,ℤ/8)×C61C2semidirect
21. #16840030C4semidirect
71. #14519802C2×C4semidirect
77. C2×#11758199C2×C4semidirect
81. #14519784C2×C4semidirect
99. #14519712C2×C4semidirect
113. #14519694C2×C4semidirect
115. #14519693C2×C4semidirect
132. AGL(1,ℤ/8)×C61C2×C4semidirect
351. C4×AGL(1,ℤ/8)D61semidirect
424. C61#21555semidirect
433. AGL(1,ℤ/8)C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168400302
C4×#145198022
C2×#168398722
#214542472
#214467282
#214465962
#214464842
#214464802
#214463292
#214463252
#214458762
#214457262
C4×#145196932
C4×#145196942
C4×AGL(1,ℤ/8)×C612
#2155561