Finite Group Databasebeta

← #30549596

Subgroups — #30549596

Order 15616.

3138 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840577C211yesmaximal, characteristic, complemented
2C2×#16840574C211yesmaximal, characteristic, complemented
3C2×#16840570C211yesmaximal, characteristic, complemented
4#21459613C211yesmaximal, characteristic, complemented
5#21459600C211yesmaximal, characteristic, complemented
6#21456312C213yesmaximal, complemented
7#21456308C213yesmaximal, complemented
8#21456298C213yesmaximal, complemented
9#21456296C213yesmaximal, complemented
10#21456286C213yesmaximal, complemented
11#21456274C213yesmaximal, complemented
12#21456262C213yesmaximal, complemented
13C2×#16840155C213yesmaximal, complemented
14#21454245C211yesmaximal, characteristic, complemented
15C2×C61×#578C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17C2×#14519823C2211yescharacteristic
18#16840577—28no—
19#16840574—28no—
20#16840570—28no—
21C2×#14519810C2213yes—
22C2×#14519808C2213yes—
23C2×#14519808C2213yescomplemented
24C2×#14519807C2213yescomplemented
25C2×#14519805C2213yes—
26C2×#14519802C2213yes—
27C2×#14519799C2213yes—
28C2×#14519797C2213yes—
29C2×#14519797C2213yescomplemented
30C22×#11758202C2213yescomplemented
31C22×#11758190C2213yes—
32C22×#11758201C2213yes—
33C2×#14519784C2211yescharacteristic
34Q8×C22⋊D61—22no—
35#16840423—22no—
36#16840411—26no—
37#16840400—26no—
38#16840336C2213yes—
39#16840336C2213yescomplemented
40#16840333C2213yescomplemented
41#16840326C2213yes—
42#16840308C2213yes—
43#16840308C2213yescomplemented
44C2×#14519775C2213yescomplemented
45C2×#14519766C2213yes—
46#41×Dic61C2211yescharacteristic
47#16840155C2213yescomplemented
48#16840155C2216yescomplemented
49#16840155C2216yescomplemented
50#16840155C2216yescomplemented
51#16840155C2213yescomplemented
52#16840153C2213yescomplemented
53#16840153C2213yescomplemented
54#16840150C2211yescharacteristic, complemented
55#16840150C2213yescomplemented
56#16840148C2213yescomplemented
57#16840148C2213yescomplemented
58#16840147C2216yescomplemented
59#16840143C2216yescomplemented
60#16840140C2216yescomplemented
61#16840133C2216yescomplemented
62#16839720C2213yescomplemented
63#16839717C2213yescomplemented
64M16×Dic61C2213yescomplemented
65C2×#14519687C2213yescomplemented
66C2×2−1+4×C61C2211yescharacteristic
67C2×2−1+4×C61C2211yescharacteristic
68C61×#578—28no—
69C2×#137×C61C2213yescomplemented
70C2×#137×C61C2213yescomplemented
71C2×#135×C61C2213yescomplemented
72C22×Q16×C61C2213yescomplemented
73C2×#131×C61C2211yescharacteristic
74#14519824—24no—
75#14519824—24no—
76#14519823—24no—
77#14519823—24no—
78C2×#11758226—21no—
79C2×#11758222C2313yes—
80C2×#11758222C2313yes—
81C2×#11758224—23no—
82C22×Dic122C2313yes—
83C2×Q8×D61—21no—
84C22×D244C2313yes—
85C2×D4×D61—23no—
86#14519810—212no—
87#14519808—212no—
88#14519808—212no—
89#14519807—212no—
90#14519805—212no—
91#14519802—212no—
92#14519799—212no—
93#14519797—212no—
94#14519797—212no—
95C2×Dic244C2313yes—
96C2×#11758202—212no—
97C2×#11758202C2313yes—
98C2×#11758202C2316yes—
99C2×#11758202C2313yes—
100C2×#11758190—212no—
101C2×#11758190C2313yes—
102C2×#11758190C2316yes—
103C2×#11758190C2311yescharacteristic
104C2×#11758200C2311yescharacteristic
105C2×#11758200C2313yes—
106C2×#11758201—212no—
107C2×#11758201C2313yes—
108C2×#11758201C2316yes—
109C2×#11758201C2313yes—
110C2×D488C2313yes—
111C2×#11758199C2313yes—
112C2×#11758199C2311yescharacteristic
113#14519784D418yescomplemented
114C2×#11758194C2313yes—
115C22×#92418C2313yes—
116#14519775—26no—
117#14519775C2313yes—
118#14519775C2316yes—
119#14519775C2313yes—
120#14519773C2313yes—
121#14519773C2311yescharacteristic
122#14519766—26no—
123#14519766C2313yes—
124#14519766C2316yes—
125#14519766C2313yes—
126#14519764C2311yescharacteristic
127#14519764C2313yes—
128#14519760—26no—
129#14519760—26no—
130#14519758—26no—
131#14519756—26no—
132#14519753—26no—
133#14519753—26no—
134#14519751—26no—
135#14519749—26no—
136#14519749—26no—
137#14519745—26no—
138Q8×Dic61D412yes—
139D4×Dic61D416yes—
140C4×C22⋊D61—26no—
141C4×C22⋊D61—26no—
142#14519736C2313yes—
143C2×#11758196—26no—
144C2×#11758198—26no—
145C2×C4×Dic61C2313yes—
146#14519687C2311yescharacteristic
147#14519687C2313yes—
148#14519687C2313yes—
149#14519687C2313yes—
150C8×Dic61C2316yes—
1512−1+4×C61—24no—
1522−1+4×C61—24no—
1532−1+4×C61—24no—
1542−1+4×C61—24no—
155C2×#41×C61—23no—
156C2×#41×C61—23no—
157C2×#41×C61C2313yes—
158C2×#41×C61C2313yes—
159C2×#41×C61C2311yescharacteristic
160C22×Q8×C61—21no—
161C22×Q8×C61—21no—
162C22×Q8×C61C2313yes—
163C22×Q8×C61C2313yes—
164#137×C61—212no—
165#137×C61—212no—
166#135×C61—212no—
167C2×Q16×C61—212no—
168C2×Q16×C61C2313yes—
169C2×Q16×C61C2316yes—
170C2×SD16×C61C2313yes—
171C2×SD16×C61C2313yes—
172C2×D8×C61C2311yescharacteristic
173#131×C61D418yescomplemented
174C2×M16×C61C2313yes—
175C22×C8×C61C2313yes—
176C23×D61—23no—
177#41×C61—26no—
178#41×C61—26no—
179#41×C61—26no—
180#41×C61—26no—
181#41×C61—412no—
182#41×C61—412no—
183#41×C61C2×D414yes—
184#41×C61C2×D414yes—
185C2×Q8×C61—23no—
186C2×Q8×C61—23no—
187C2×Q8×C61—26no—
188C2×Q8×C61—26no—
189C2×Q8×C61—26no—
190C2×Q8×C61—26no—
191C2×Q8×C61—44no—
192C2×Q8×C61—44no—
193C2×Q8×C61C2×D411yescharacteristic
194C2×Q8×C61C2413yes—
195C2×Q8×C61C2413yes—
196C2×D4×C61—23no—
197C2×D4×C61—23no—
198C2×D4×C61C2×D413yes—
199C2×D4×C61C2411yescharacteristic
200C2×D4×C61C2411yescharacteristic
201C22×C4×C61—23no—
202C22×C4×C61—23no—
203C22×C4×C61—23no—
204C22×C4×C61—23no—
205C22×C4×C61C2413yes—
206C2×C22⋊D61—23no—
207C2×C22⋊D61—23no—
208C2×C22⋊D61—22no—
209C2×C22⋊D61—26no—
210C22×Dic61—23no—
211C22×Dic61C2×D416yes—
212#11758226—44no—
213Q8×D61—44no—
214#11758224—412no—
215D4×D61—412no—
216#11758222—26no—
217#11758222—26no—
218#11758222—26no—
219#11758222—26no—
220C2×D244—26no—
221C2×D244—26no—
222C2×D244—23no—
223C2×D244C2413yes—
224C2×D244C2411yescharacteristic
225C2×C4×D61—23no—
226C2×C4×D61—23no—
227C2×Dic122—26no—
228C2×Dic122—26no—
229C2×Dic122—23no—
230C2×Dic122C2413yes—
231C2×Dic122C2411yescharacteristic
232Q16×C61—26no—
233Q16×C61—212no—
234SD16×C61—26no—
235SD16×C61—26no—
236D8×C61—22no—
237M16×C61C2×D4112yes—
238C2×C8×C61C2×D4112yes—
239C2×C8×C61C2411yescharacteristic
240C2×C8×C61C2413yes—
241C22⋊Dic61—22no—
242C22⋊Dic61—26no—
243C22⋊Dic61C2×D416yes—
244#11758202—26no—
245#11758202—212no—
246#11758202—26no—
247#11758201—26no—
248#11758201—212no—
249#11758201—26no—
250#11758200—22no—
251#11758200—26no—
252#11758199—22no—
253#11758199—26no—
254#11758198—26no—
255#11758198—212no—
256#11758198—26no—
257C4⋊Dic61C2×D416yes—
258#11758196—26no—
259#11758196—212no—
260#11758196—26no—
261C4×Dic61C2×D416yes—
262C4×Dic61C2413yes—
263C4×Dic61C2411yescharacteristic
264#11758194C2×D4112yes—
265C2×#92418C2×D4112yes—
266C2×#92418C2413yes—
267C2×#92418C2411yescharacteristic
268Dic244—26no—
269D488—26no—
270#11758190—212no—
271#11758190—26no—
272#11758190—22no—
273C23×C61—21no—
274C23×C61—21no—
275C23×C61C22×D413yes—
276C22×D61—21no—
277C22×D61—23no—
278C22×D61—46no—
279C22×D61—86no—
280Q8×C61—23no—
281Q8×C61—23no—
282Q8×C61—23no—
283Q8×C61—23no—
284Q8×C61—46no—
285Q8×C61—46no—
286Q8×C61#12714yes—
287D4×C61—21no—
288D4×C61—21no—
289D4×C61—21no—
290D4×C61—21no—
291D4×C61—46no—
292D4×C61—46no—
293D4×C61#127112yes—
294C2×C4×C61—23no—
295C2×C4×C61—23no—
296C2×C4×C61—46no—
297C2×C4×C61—46no—
298C2×C4×C61—46no—
299C2×C4×C61—46no—
300C2×C4×C61C22×D413yes—
301C2×C4×C61C22×D416yes—
302C2×C4×C61C22×D416yes—
303C2×C4×C61C2511yescharacteristic
304C22⋊D61—44no—
305C22⋊D61—46no—
306C22⋊D61—46no—
307C22⋊D61—86no—
308C2×Dic61—23no—
309C2×Dic61—21no—
310C2×Dic61—46no—
311C2×Dic61—46no—
312C2×Dic61C22×D412yes—
313C2×Dic61C22×D416yes—
314D244—23no—
315D244—21no—
316D244—23no—
317D244—21no—
318D244—46no—
319C4×D61—46no—
320C4×D61—46no—
321Dic122—23no—
322Dic122—21no—
323Dic122—23no—
324Dic122—21no—
325Dic122—46no—
326C8×C61C22×D412yes—
327C8×C61C22×D416yes—
328#92418C22×D412yes—
329#92418C22×D416yes—
330#60651—611nomaximal, Sylow
331C22×C61—26no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—41no—
335C22×C61—41no—
336C22×C61C2×#12716yes—
337C22×C61C23×D411yescharacteristic
338C2×D61—42no—
339C2×D61—46no—
340C2×D61—41no—
341C2×D61—43no—
342C2×D61—166no—
343C4×C61—43no—
344C4×C61—43no—
345C4×C61C2×#12716yes—
346C4×C61C23×D411yescharacteristic
347C4×C61C23×D411yescharacteristic
348Dic61—22no—
349Dic61—26no—
350Dic61—43no—
351Dic61—41no—
352C2×#578—611no—
353C2×#578D6111yescharacteristic, complemented
354C2×#577—611no—
355C2×#577—611no—
356#3500—611no—
357#3499—611no—
358#3156—613no—
359#3156—613no—
360#3154—613no—
361#3154—613no—
362#3153—613no—
363#3152—613no—
364#3150—613no—
365C2×#497—613no—
366#2875—611no—
367C2×C61—26no—
368C2×C61—81no—
369C2×C61—81no—
370C2×C61C22×#12711yescharacteristic
371C2×C61#358612yes—
372D61—81no—
373D61—83no—
374C2×2−1+4—611no—
375C2×2−1+4C2×D6111yescharacteristic
376C2×2−1+4C2×D6111yescharacteristic
377C2×H(5,𝔽2)—611no—
378#578—28no—
379#578—1228no—
380#577—1228no—
381#577—1228no—
382C2×#137—613no—
383C2×#137—613no—
384C2×#137—613no—
385C2×#137—613no—
386C2×#137C2×D6113yescomplemented
387C2×#137C2×D6113yescomplemented
388C2×AGL(1,ℤ/8)—613no—
389C2×AGL(1,ℤ/8)—613no—
390C2×#135—613no—
391C2×#135—613no—
392C2×#135—613no—
393C2×#135C2×D6113yescomplemented
394C22×Q16—613no—
395C22×Q16C2×D6113yescomplemented
396C22×SD16—613no—
397C22×SD16—613no—
398C2×#131—611no—
399C2×#131C2×D6111yescharacteristic
400D4×Q8—1222no—
401#548—1222no—
402#547—1226no—
403#546—1226no—
404#536—613no—
405#536—613no—
406#536—613no—
407#535—613no—
408#532—613no—
409#532—613no—
410C2×C4⋊Q8—613no—
411C2×#124—613no—
412C4×#41—611no—
413#497—613no—
414#497—616no—
415#497—616no—
416#497—616no—
417#497—613no—
418#497—613no—
419#497—613no—
420#496—613no—
421#496—613no—
422#496—611no—
423#496—613no—
424#495—616no—
425#495—616no—
426#494—616no—
427#492—616no—
428#405—613no—
429#405—613no—
430C4×M16—613no—
431C2×#97—613no—
432C61#6065111yescharacteristic, complemented, Sylow
4332−1+4—24no—
4342−1+4—24no—
4352−1+4—24no—
4362−1+4—24no—
4372−1+4—1224no—
4382−1+4—1224no—
439H(5,𝔽2)—1224no—
440H(5,𝔽2)—1224no—
441C2×#41—23no—
442C2×#41—23no—
443C2×#41—613no—
444C2×#41—613no—
445C2×#41—1221no—
446C2×#41—1223no—
447C2×#41C22×D6113yes—
448C2×#41C22×D6113yes—
449C2×#41C22×D6111yescharacteristic
450C22×Q8—21no—
451C22×Q8—21no—
452C22×Q8—613no—
453C22×Q8—1221no—
454C22×Q8C22×D6113yes—
455C22×Q8C22×D6113yes—
456C22×D4—613no—
457C22×D4—1223no—
458#137—212no—
459#137—212no—
460#137—12212no—
461#137—12212no—
462#137—12212no—
463#137—12212no—
464AGL(1,ℤ/8)—12212no—
465AGL(1,ℤ/8)—12212no—
466#135—212no—
467#135—12212no—
468#135—12212no—
469#135—12212no—
470C2×Q16—212no—
471C2×Q16—613no—
472C2×Q16—616no—
473C2×Q16—613no—
474C2×Q16—613no—
475C2×Q16—12212no—
476C2×Q16C22×D6113yes—
477C2×Q16C22×D6116yes—
478C2×SD16—613no—
479C2×SD16—616no—
480C2×SD16—613no—
481C2×SD16—611no—
482C2×SD16—613no—
483C2×SD16—613no—
484C2×SD16—616no—
485C2×SD16—611no—
486C2×SD16—12212no—
487C2×SD16—12212no—
488C2×SD16C22×D6113yes—
489C2×SD16C22×D6113yes—
490C2×D8—611no—
491C2×D8—613no—
492C2×D8—613no—
493C2×D8C22×D6111yescharacteristic
494#131—618no—
495#131C22⋊D6118yescomplemented
496C2×M16—613no—
497C2×M16C22×D6113yes—
498C22×C8—613no—
499C22×C8C22×D6113yes—
500C4⋊Q8—613no—
501C4⋊Q8—616no—
502C4⋊Q8—613no—
503C4⋊Q8—1226no—
504#127—611no—
505#127—613no—
506#124—613no—
507#124—616no—
508#124—613no—
509#124—611no—
510#124—613no—
511#124—1226no—
512#123—1226no—
513#123—1226no—
514#123—1226no—
515C22⋊Q8—1226no—
516C22⋊Q8—1226no—
517C22⋊Q8—1226no—
518#121—1226no—
519#121—1226no—
520#121—1226no—
521#120—1226no—
522C4×Q8—612no—
523C4×D4—616no—
524C4×D4—1226no—
525C4×D4—1226no—
526#117—613no—
527C2×C4⋊C4—1226no—
528C2×C22⋊C4—1226no—
529C2×C42—613no—
530#97—611no—
531#97—613no—
532#97—613no—
533#97—613no—
534C4×C8—616no—
535C24—1223no—
536#41—26no—
537#41—26no—
538#41—26no—
539#41—26no—
540#41—412no—
541#41—412no—
542#41—1226no—
543#41—1226no—
544#41—1226no—
545#41—1226no—
546#41—2444no—
547#41—24412no—
548#41D4×D6114yes—
549#41C2×C22⋊D6114yes—
550C2×Q8—23no—
551C2×Q8—23no—
552C2×Q8—26no—
553C2×Q8—26no—
554C2×Q8—26no—
555C2×Q8—26no—
556C2×Q8—44no—
557C2×Q8—44no—
558C2×Q8—613no—
559C2×Q8—611no—
560C2×Q8—1223no—
561C2×Q8—1226no—
562C2×Q8—1226no—
563C2×Q8—2444no—
564C2×Q8D4×D6111yescharacteristic
565C2×Q8C23×D6113yes—
566C2×Q8C23×D6113yes—
567C2×D4—23no—
568C2×D4—23no—
569C2×D4—611no—
570C2×D4—613no—
571C2×D4—1226no—
572C2×D4—1222no—
573C2×D4—1223no—
574C2×D4—1223no—
575C2×D4—1226no—
576C2×D4—1223no—
577C2×D4—1226no—
578C2×D4—24412no—
579C2×D4D4×D6113yes—
580C2×D4C23×D6111yescharacteristic
581C2×D4C23×D6111yescharacteristic
582C22×C4—23no—
583C22×C4—23no—
584C22×C4—23no—
585C22×C4—23no—
586C22×C4—616no—
587C22×C4—1223no—
588C22×C4—1223no—
589C22×C4—1223no—
590C22×C4C23×D6113yes—
591Q16—26no—
592Q16—212no—
593Q16—1226no—
594Q16—12212no—
595Q16—1226no—
596Q16—1226no—
597SD16—26no—
598SD16—26no—
599SD16—1222no—
600SD16—1226no—
601SD16—1226no—
602SD16—12212no—
603SD16—1226no—
604SD16—1226no—
605SD16—12212no—
606SD16—1222no—
607D8—22no—
608D8—1222no—
609D8—1226no—
610D8—1226no—
611M16—6112no—
612M16C2×C22⋊D61112yes—
613C2×C8—6112no—
614C2×C8—613no—
615C2×C8—611no—
616C2×C8C2×C22⋊D61112yes—
617C2×C8C23×D6113yes—
618C2×C8C23×D6111yescharacteristic
619C4⋊C4—616no—
620C4⋊C4—1226no—
621C4⋊C4—12212no—
622C4⋊C4—1226no—
623C22⋊C4—616no—
624C22⋊C4—1226no—
625C22⋊C4—12212no—
626C22⋊C4—1226no—
627C22⋊C4—1222no—
628C22⋊C4—1226no—
629C42—616no—
630C42—613no—
631C42—611no—
632C23—21no—
633C23—21no—
634C23—1221no—
635C23—1223no—
636C23—4886no—
637C23—2446no—
638C23C2×D4×D6113yes—
639Q8—23no—
640Q8—23no—
641Q8—23no—
642Q8—23no—
643Q8—46no—
644Q8—46no—
645Q8—1223no—
646Q8—1221no—
647Q8—1223no—
648Q8—1221no—
649Q8—2446no—
650Q8#1451977314yes—
651D4—21no—
652D4—21no—
653D4—21no—
654D4—21no—
655D4—46no—
656D4—46no—
657D4—1223no—
658D4—1221no—
659D4—1221no—
660D4—1223no—
661D4—4886no—
662D4—2444no—
663D4—2446no—
664D4—2446no—
665D4—2446no—
666D4#14519773112yes—
667C2×C4—23no—
668C2×C4—23no—
669C2×C4—46no—
670C2×C4—46no—
671C2×C4—46no—
672C2×C4—46no—
673C2×C4—612no—
674C2×C4—616no—
675C2×C4—1221no—
676C2×C4—1223no—
677C2×C4—2446no—
678C2×C4—2446no—
679C2×C4—2446no—
680C2×C4—2446no—
681C2×C4C2×D4×D6113yes—
682C2×C4C2×D4×D6116yes—
683C2×C4C22×C22⋊D6116yes—
684C2×C4C24×D6111yescharacteristic
685C8—612no—
686C8—616no—
687C8C22×C22⋊D6112yes—
688C8C22×C22⋊D6116yes—
689C22—26no—
690C22—42no—
691C22—42no—
692C22—41no—
693C22—41no—
694C22—9766no—
695C22—2446no—
696C22—2442no—
697C22—2441no—
698C22—2443no—
699C22C2×#1451977316yes—
700C22C22×D4×D6111yescharacteristic
701C4—43no—
702C4—43no—
703C4—1222no—
704C4—1226no—
705C4—2441no—
706C4—2443no—
707C4C2×#1451977316yes—
708C4C22×D4×D6111yescharacteristic
709C4C23×C22⋊D6111yescharacteristic
710C2—26no—
711C2—81no—
712C2—81no—
713C2—4883no—
714C2—4881no—
715C2C22×#1451977311yescharacteristic
716C2#2146060412yes—
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#578C2
socleC22×C61C23×D4
hypercenterC2×#578D61
hypocenterC61#60651
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×#578

Complements

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

NH ≅ G/Ntype
1. C2×#16840577C2semidirect
2. C2×#16840574C2semidirect
3. C2×#16840570C2semidirect
4. #21459613C2semidirect
5. #21459600C2semidirect
6. #21456312C2semidirect
7. #21456308C2semidirect
8. #21456298C2semidirect
9. #21456296C2semidirect
10. #21456286C2semidirect
11. #21456274C2semidirect
12. #21456262C2semidirect
13. C2×#16840155C2semidirect
14. #21454245C2semidirect
15. C2×C61×#578C2semidirect
23. C2×#14519808C22semidirect
24. C2×#14519807C22semidirect
29. C2×#14519797C22semidirect
30. C22×#11758202C22semidirect
39. #16840336C22semidirect
40. #16840333C22semidirect
43. #16840308C22semidirect
44. C2×#14519775C22semidirect
47. #16840155C22semidirect
48. #16840155C22semidirect
49. #16840155C22semidirect
50. #16840155C22semidirect
51. #16840155C22semidirect
52. #16840153C22semidirect
53. #16840153C22semidirect
54. #16840150C22semidirect
55. #16840150C22semidirect
56. #16840148C22semidirect
57. #16840148C22semidirect
58. #16840147C22semidirect
59. #16840143C22semidirect
60. #16840140C22semidirect
61. #16840133C22semidirect
62. #16839720C22semidirect
63. #16839717C22semidirect
64. M16×Dic61C22semidirect
65. C2×#14519687C22semidirect
69. C2×#137×C61C22semidirect
70. C2×#137×C61C22semidirect
71. C2×#135×C61C22semidirect
72. C22×Q16×C61C22semidirect
113. #14519784D4semidirect
173. #131×C61D4semidirect
353. C2×#578D61semidirect
386. C2×#137C2×D61semidirect
387. C2×#137C2×D61semidirect
393. C2×#135C2×D61semidirect
395. C22×Q16C2×D61semidirect
432. C61#60651semidirect
495. #131C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405772
C2×#168405742
C2×#168405702
#214596132
#214596002
#214563122
#214563082
#214562982
#214562962
#214562862
#214562742
#214562622
C2×#168401552
#214542452
C2×C61×#5782
#6065161