Finite Group Databasebeta

← #25119201

Subgroups — #25119201

Order 11008.

994 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583128C211yesmaximal, characteristic
2C2×#14582986C211yesmaximal, characteristic, complemented
3#19137633C211yesmaximal, characteristic
4#19137622C211yesmaximal, characteristic, complemented
5#19135447C211yesmaximal, characteristic, complemented
6#19135321C211yesmaximal, characteristic, complemented
7#19135235C211yesmaximal, characteristic, complemented
8#19135214C211yesmaximal, characteristic, complemented
9#19134917C211yesmaximal, characteristic
10#19134907C211yesmaximal, characteristic, complemented
11#19134846C211yesmaximal, characteristic, complemented
12#19134839C211yesmaximal, characteristic, complemented
13#106×Dic43C211yesmaximal, characteristic, complemented
14C8×C22⋊Dic43C211yesmaximal, characteristic, complemented
15C2×C43×#427C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C2×#13063304C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×#13063290C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21#14583128C418yescomplemented
22#14582986—24no—
23C2×#13063257C2211yescharacteristic
24C2×#13063250C2211yescharacteristic
25C2×#13063248C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582804C2211yescharacteristic
34#14582800C2211yescharacteristic
35#14582799—21no—
36#14582795C2211yescharacteristic
37#14582795C2211yescharacteristic
38#14582793—21no—
39#14582790—21no—
40#14582787—21no—
41#14582783—21no—
42#14582775—21no—
43C4⋊C4×Dic43C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4×Dic43⋊C4—21no—
46C4×(C2×D43)⋊C4—21no—
47C4×C22⋊Dic43C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C23×C8×C43C2211yescharacteristic
55C2×#117×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C43×#427—24no—
58C2×#107×C43C2211yescharacteristic
59C2×#107×C43C2211yescharacteristic
60C2×#106×C43C2211yescharacteristic
61C2×#106×C43C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C22×C22⋊D43—21no—
65C22×C4×D43—21no—
66C2×#10621873—22no—
67C2×#10621873—22no—
68C2×#10621873C2×C414yes—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063304—22no—
72#13063304C2×C414yescomplemented
73#13063299—22no—
74#13063299C2×C414yes—
75#13063290—22no—
76#13063290—41no—
77#13063287—22no—
78#13063287—41no—
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43D411yescharacteristic
87C2×C22⋊Dic43D411yescharacteristic
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43C2311yescharacteristic
96C2×C4×Dic43C2311yescharacteristic
97#13063257C2×C414yescomplemented
98#13063250C2×C414yescomplemented
99#13063248—22no—
100#13063248—41no—
101#13063247C2×C414yes—
102#13063245—22no—
103#13063245—41no—
104C22⋊(C43⋊C8)—22no—
105C8×Dic43—22no—
106C8×Dic43—22no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95D411yescharacteristic
114C43⋊#95D411yescharacteristic
115C23×C4×C43C2311yescharacteristic
116C22×C8×C43—22no—
117C22×C8×C43—22no—
118C22×C8×C43C2×C414yescomplemented
119C22×C8×C43C2311yescharacteristic
120C22×C8×C43C2311yescharacteristic
121#117×C43—22no—
122#117×C43—22no—
123#117×C43—41no—
124#117×C43—41no—
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C22⋊C4×C43—21no—
130C2×C22⋊C4×C43—21no—
131C2×C42×C43—21no—
132C2×C42×C43—21no—
133#107×C43—22no—
134#107×C43—22no—
135#106×C43—22no—
136#106×C43D414yescomplemented
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43C22×C412yes—
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43#4112yes—
150C22×C4×C43C2411yescharacteristic
151C2×C22⋊D43—24no—
152C2×C22⋊D43—81no—
153C2×C22⋊D43—81no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43C2×D411yescharacteristic
158C22×Dic43C2×D411yescharacteristic
159C22×Dic43C2×D411yescharacteristic
160C22×Dic43C2×D411yescharacteristic
161C2×D172—21no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172C22×C412yes—
167C2×C4×D43—42no—
168C2×C4×D43—42no—
169C2×C4×D43—81no—
170C2×Dic86—21no—
171C2×Dic86—21no—
172C2×Dic86—21no—
173C2×Dic86—21no—
174C2×Dic86—21no—
175C2×Dic86C22×C412yes—
176C2×C8×C43—21no—
177C2×C8×C43—21no—
178C2×C8×C43—28no—
179C2×C8×C43C22×C412yes—
180C2×C8×C43C22×C412yes—
181C2×C8×C43C2×D412yes—
182C2×C8×C43#4112yes—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43C2×D412yes—
190C4⋊C4×C43C2×D412yes—
191C22⋊C4×C43—42no—
192C22⋊C4×C43—42no—
193C42×C43—42no—
194C42×C43—42no—
195C22⋊Dic43—22no—
196C22⋊Dic43—22no—
197C22⋊Dic43—24no—
198(C2×D43)⋊C4—24no—
199(C2×D43)⋊C4—42no—
200(C2×D43)⋊C4—42no—
201(C2×D43)⋊C4—81no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43C22×C412yes—
205C4⋊Dic43C22×C412yes—
206Dic43⋊C4—24no—
207Dic43⋊C4—42no—
208Dic43⋊C4—42no—
209Dic43⋊C4—81no—
210C4×Dic43—21no—
211C4×Dic43—21no—
212C4×Dic43—21no—
213C4×Dic43—21no—
214C4×Dic43—42no—
215C4×Dic43—42no—
216C4×Dic43—81no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223#10621873—28no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43C4×D412yes—
231C23×C43C22×D411yescharacteristic
232C22×D43—22no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—22no—
242C2×C4×C43—22no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43C4×D412yes—
258C2×C4×C43C23×C411yescharacteristic
259C2×C4×C43C22×D411yescharacteristic
260C2×C4×C43C2×#4111yescharacteristic
261C2×C4×C43C2×#4111yescharacteristic
262C2×C4×C43H(5,𝔽2)11yescharacteristic
263C2×C4×C432−1+411yescharacteristic
264C22⋊D43—84no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—22no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43#13512yes—
285C2×Dic43#13512yes—
286D172—22no—
287D172—22no—
288D172—41no—
289D172—41no—
290C4×D43—84no—
291Dic86—22no—
292Dic86—22no—
293Dic86—41no—
294Dic86—41no—
295C8×C43—22no—
296C8×C43C4×D414yes—
297C43⋊C8—41no—
298C43⋊C8—41no—
299#23023—431nomaximal, Sylow
300C22×C43—22no—
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—41no—
304C22×C43—41no—
305C22×C43—41no—
306C22×C43—41no—
307C22×C43C2×C4×D411yescharacteristic
308C22×C43D4211yescharacteristic
309C22×C43#54711yescharacteristic
310C22×C43C2×#13511yescharacteristic
311C22×C43C2×#13511yescharacteristic
312C22×C43#57711yescharacteristic
313C22×C43#57711yescharacteristic
314C2×D43—42no—
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—81no—
318C2×D43—81no—
319C2×D43—81no—
320C2×D43—81no—
321C4×C43—22no—
322C4×C43—42no—
323C4×C43—42no—
324C4×C43—81no—
325C4×C43—81no—
326C4×C43C2×C4×D411yescharacteristic
327C4×C43#52011yescharacteristic
328C4×C43#54811yescharacteristic
329C4×C43#55311yescharacteristic
330Dic43—22no—
331Dic43—22no—
332Dic43—41no—
333Dic43—42no—
334Dic43—42no—
335Dic43—42no—
336Dic43—41no—
337C2×#465—431no—
338C2×C4×SD16—431no—
339C2×#427D4311yescharacteristic, complemented
340#2363—431no—
341#2362—431no—
342#1968—431no—
343#1941—431no—
344#1928—431no—
345#1925—431no—
346#1875—431no—
347#1873—431no—
348#1863—431no—
349#1862—431no—
350C4×#106—431no—
351C8×C22⋊C4—431no—
352C2×C43—42no—
353C2×C43#236111yescharacteristic
354C2×C43C4×#13511yescharacteristic
355C2×C43#294911yescharacteristic
356C2×C43#328211yescharacteristic
357C2×C43#328411yescharacteristic
358C2×C43#333711yescharacteristic
359C2×C43#334011yescharacteristic
360D43—82no—
361C22×SD16—431no—
362C23×C8C2×D4311yescharacteristic
363C2×C22⋊Q8—431no—
364C2×#121—431no—
365C2×C4×Q8—431no—
366C2×C4×D4—431no—
367C2×#117C2×D4311yescharacteristic
368C2×#117C2×D4311yescharacteristic
369#465—438no—
370C4×SD16—864no—
371#427—24no—
372C2×#107C2×D4311yescharacteristic
373C2×#107C2×D4311yescharacteristic
374C2×#106—431no—
375C2×#106C2×D4311yescharacteristic
376C2×#106C2×D4311yescharacteristic
377C2×#103—431no—
378C2×#103—431no—
379C2×#103—431no—
380C2×#102—431no—
381C2×#102—431no—
382C2×#102—431no—
383C2×C22⋊C8—431no—
384C2×C4×C8—431no—
385C2×C4×C8—431no—
386#391—431no—
387#390—431no—
388#390—861no—
389#389—431no—
390#389—431no—
391#388—861no—
392#388—861no—
393#388—861no—
394#387—861no—
395#386—861no—
396C4×C4⋊C4—431no—
397C4×C4⋊C4—431no—
398C4×C4⋊C4—861no—
399C4×C22⋊C4—431no—
400C4×C22⋊C4—861no—
401#340—431no—
402#340—431no—
403#340—431no—
404#340—431no—
405#336—431no—
406#336—431no—
407C43#2302311yescharacteristic, complemented, Sylow
408C22×Q8—431no—
409C22×D4—431no—
410C22×D4—861no—
411C23×C4—861no—
412C23×C4C22×D4311yescharacteristic
413C2×SD16—434no—
414C2×SD16—862no—
415C2×SD16—862no—
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—431no—
419C22×C8—431no—
420C22×C8C4×D4314yescomplemented
421C22×C8C22×D4311yescharacteristic
422C22×C8C22×D4311yescharacteristic
423C22⋊Q8—434no—
424C22⋊Q8—862no—
425#121—434no—
426#121—862no—
427C4×Q8—862no—
428C4×Q8—1721no—
429C4×D4—862no—
430C4×D4—1721no—
431#117—22no—
432#117—22no—
433#117—41no—
434#117—41no—
435C2×C4⋊C4—431no—
436C2×C4⋊C4—431no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4C22×D4311yescharacteristic
442C2×C4⋊C4C22×D4311yescharacteristic
443C2×C4⋊C4C22×D4311yescharacteristic
444C2×C4⋊C4C22×D4311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—431no—
448C2×C22⋊C4—431no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—431no—
457C2×C42—431no—
458C2×C42—861no—
459C2×C42—861no—
460C2×C42—861no—
461#107—22no—
462#107—22no—
463#106—22no—
464#106—434no—
465#106C22⋊D4314yescomplemented
466#103—434no—
467#103—862no—
468#103—1721no—
469#102—434no—
470#102—862no—
471#102—1721no—
472C22⋊C8—862no—
473C4×C8—862no—
474C4×C8—862no—
475#95—431no—
476#95—431no—
477#95—861no—
478#95—861no—
479#95—861no—
480#95—861no—
481#95—861no—
482#95—861no—
483C24—861no—
484C24D4×D4311yescharacteristic
485C2×Q8—432no—
486C2×Q8—861no—
487C2×Q8—861no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—861no—
491C2×D4—432no—
492C2×D4—864no—
493C2×D4—861no—
494C2×D4—861no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—3441no—
499C2×D4—3441no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—431no—
509C22×C4—431no—
510C22×C4—431no—
511C22×C4—431no—
512C22×C4—861no—
513C22×C4—861no—
514C22×C4—861no—
515C22×C4—3441no—
516C22×C4—1722no—
517C22×C4—1722no—
518C22×C4C2×C4×D4312yes—
519C22×C4D4×D4311yescharacteristic
520C22×C4#1062190212yes—
521C22×C4C23×D4311yescharacteristic
522SD16—868no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—28no—
526C2×C8—861no—
527C2×C8—861no—
528C2×C8—861no—
529C2×C8—861no—
530C2×C8—861no—
531C2×C8—861no—
532C2×C8C2×C4×D4312yes—
533C2×C8C2×C4×D4312yes—
534C2×C8#1062189812yes—
535C2×C8C2×C22⋊D4312yes—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—432no—
543C4⋊C4—432no—
544C4⋊C4—864no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—3441no—
548C4⋊C4—1722no—
549C4⋊C4—1722no—
550C4⋊C4C2×C22⋊D4312yes—
551C4⋊C4C2×C22⋊D4312yes—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—862no—
555C22⋊C4—862no—
556C22⋊C4—864no—
557C22⋊C4—864no—
558C22⋊C4—3441no—
559C22⋊C4—1722no—
560C22⋊C4—1722no—
561C42—42no—
562C42—42no—
563C42—861no—
564C42—861no—
565C42—861no—
566C42—861no—
567C42—3441no—
568C42—1722no—
569C42—1722no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—862no—
577C23—1721no—
578C23—1721no—
579C23—1721no—
580C23—1721no—
581C23—1721no—
582C23—1721no—
583C23#1306328712yes—
584C23C2×D4×D4311yescharacteristic
585Q8—862no—
586Q8—862no—
587Q8—1721no—
588Q8—1721no—
589D4—862no—
590D4—862no—
591D4—3444no—
592D4—1721no—
593D4—1721no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—432no—
613C2×C4—432no—
614C2×C4—861no—
615C2×C4—861no—
616C2×C4—861no—
617C2×C4—861no—
618C2×C4—862no—
619C2×C4—862no—
620C2×C4—862no—
621C2×C4—861no—
622C2×C4—861no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—3444no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4#1306328712yes—
635C2×C4C22×C4×D4311yescharacteristic
636C2×C4C22×C22⋊D4311yescharacteristic
637C2×C4C2×#1062189811yescharacteristic
638C2×C4C2×#1062190211yescharacteristic
639C2×C4#1306337011yescharacteristic
640C2×C4#1306337311yescharacteristic
641C8—22no—
642C8—1721no—
643C8—1721no—
644C8C4×C22⋊D4314yes—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—3441no—
653C22—3441no—
654C22—3441no—
655C22—3441no—
656C22—1722no—
657C22—1722no—
658C22—1722no—
659C22C2×#1306328711yescharacteristic
660C22D4×C22⋊D4311yescharacteristic
661C22#1458355011yescharacteristic
662C22#135×D4311yescharacteristic
663C22#135×D4311yescharacteristic
664C22#1458370611yescharacteristic
665C22#1458370611yescharacteristic
666C4—22no—
667C4—42no—
668C4—42no—
669C4—81no—
670C4—81no—
671C4—862no—
672C4—862no—
673C4—1722no—
674C4—1722no—
675C4—1721no—
676C4—1722no—
677C4—1721no—
678C4C2×C4×C22⋊D4311yescharacteristic
679C4#1458338011yescharacteristic
680C4#1458356011yescharacteristic
681C4#1458359711yescharacteristic
682C2—42no—
683C2—3442no—
684C2#1913761111yescharacteristic
685C2#1914336611yescharacteristic
686C2#1914345311yescharacteristic
687C2#1914629611yescharacteristic
688C2#1914631911yescharacteristic
689C2#1914697511yescharacteristic
690C2#1914700411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#427C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenterC2×#427D43
hypocenterC43#23023
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#427

Complements

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

NH ≅ G/Ntype
2. C2×#14582986C2semidirect
4. #19137622C2semidirect
5. #19135447C2semidirect
6. #19135321C2semidirect
7. #19135235C2semidirect
8. #19135214C2semidirect
10. #19134907C2semidirect
11. #19134846C2semidirect
12. #19134839C2semidirect
13. #106×Dic43C2semidirect
14. C8×C22⋊Dic43C2semidirect
15. C2×C43×#427C2semidirect
21. #14583128C4semidirect
72. #13063304C2×C4semidirect
97. #13063257C2×C4semidirect
98. #13063250C2×C4semidirect
118. C22×C8×C43C2×C4semidirect
136. #106×C43D4semidirect
339. C2×#427D43semidirect
407. C43#23023semidirect
420. C22×C8C4×D43semidirect
465. #106C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831282
C2×#145829862
#191376332
#191376222
#191354472
#191353212
#191352352
#191352142
#191349172
#191349072
#191348462
#191348392
#106×Dic432
C8×C22⋊Dic432
C2×C43×#4272
#2302343