Finite Group Databasebeta

← #10829217

Subgroups — #10829217

Order 768.

1088 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5694C211yesmaximal, characteristic
2C2×C3×#479C211yesmaximal, characteristic, complemented
3#82499C211yesmaximal, characteristic
4C2×C4×#216C211yesmaximal, characteristic, complemented
5#71740C211yesmaximal, characteristic, complemented
6#70635C211yesmaximal, characteristic, complemented
7#70632C211yesmaximal, characteristic, complemented
8#70582C211yesmaximal, characteristic, complemented
9#70580C211yesmaximal, characteristic, complemented
10#70486C211yesmaximal, characteristic, complemented
11#70470C211yesmaximal, characteristic
12#70273C211yesmaximal, characteristic, complemented
13#70273C211yesmaximal, characteristic, complemented
14#70269C211yesmaximal, characteristic, complemented
15#70268C211yesmaximal, characteristic, complemented
16#24127—31nomaximal, Sylow
17C2×C3×#125C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×#946C2211yescharacteristic
20C2×#946C2211yescharacteristic
21C22×#216C2211yescharacteristic
22#5694—24no—
23#5694—24no—
24C2×#898—21no—
25C2×#897C2211yescharacteristic
26C2×#897C2211yescharacteristic
27C2×#894—21no—
28C2×#892—21no—
29C2×#892C2211yescharacteristic
30C2×D3×C4⋊C4C2211yescharacteristic
31C2×#890—21no—
32C2×C4×D12C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C3×#479—24no—
35C2×C3×#107C2211yescharacteristic
36C2×C3×#106C2211yescharacteristic
37C2×C3×C4⋊C8C2211yescharacteristic
38C2×C3×#103C2211yescharacteristic
39C2×C3×#103C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×(C2×D3)⋊C8C2211yescharacteristic
42C2×(C2×D3)⋊C8C2211yescharacteristic
43C2×(C2×D3)⋊C8C2211yescharacteristic
44C2×(C2×D3)⋊C8C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C4×#216—24no—
48#4991—21no—
49#4987C2211yescharacteristic
50#4987C2211yescharacteristic
51#4981—21no—
52C2×#810C2211yescharacteristic
53C2×#807C2211yescharacteristic
54#4940—21no—
55#4940—21no—
56#4936C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#552—31no—
65C2×#479D311yescharacteristic, complemented
66C2×C4×Q16—31no—
67#2536—31no—
68#2036—31no—
69#2035—31no—
70#2001—31no—
71#2001—31no—
72#1991—31no—
73#1954—31no—
74#1873—31no—
75#1872—31no—
76#1854—31no—
77#1852—31no—
78#1805—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×D12D411yescharacteristic
81C22×C4×D3—21no—
82C22×C4×D3C2311yescharacteristic
83C22×C4×D3C2311yescharacteristic
84C22×Dic6C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#125—22no—
88C3×#125D414yes—
89C3×C4×Q8—22no—
90C3×C4×Q8—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C42—21no—
98C2×C3×C42C2311yescharacteristic
99#946—22no—
100#946—22no—
101#946—41no—
102#946—41no—
103C2×#216—22no—
104C2×#216—22no—
105C2×#216—22no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4D411yescharacteristic
114C2×(C2×D3)⋊C4D411yescharacteristic
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3D411yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×C4×Dic3—21no—
126C2×C4×Dic3—21no—
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129#898—28no—
130#897—22no—
131#897—22no—
132#897—22no—
133#897—22no—
134#894—28no—
135#892—28no—
136#892—22no—
137#892—22no—
138D3×C4⋊C4—22no—
139D3×C4⋊C4—22no—
140#890—28no—
141C4×D12—22no—
142C4×D12—22no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×#107—22no—
146C3×#106—22no—
147C3×C4⋊C8—22no—
148C3×#103—22no—
149C3×#103—22no—
150#835—22no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155(C2×D3)⋊C8—22no—
156(C2×D3)⋊C8—22no—
157(C2×D3)⋊C8—41no—
158(C2×D3)⋊C8—41no—
159#816—41no—
160#816—41no—
161#810—22no—
162#807—22no—
163C4×C3⋊C8—22no—
164C22×Q16—31no—
165#552—64no—
166#552—64no—
167C2×#126—61no—
168C2×#125—61no—
169C2×#125C2×D311yescharacteristic
170C2×#123—61no—
171C2×C22⋊Q8—31no—
172C2×C22⋊Q8—31no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—31no—
175C2×C4×Q8—31no—
176C2×C4×Q8C2×D311yescharacteristic
177C2×C4×D4—31no—
178C2×#117—31no—
179C2×#117—61no—
180C22×C4⋊C4—31no—
181#479—24no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×#107C2×D311yescharacteristic
185C2×#106C2×D311yescharacteristic
186C2×C4⋊C8C2×D311yescharacteristic
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#103C2×D311yescharacteristic
192C2×#103C2×D311yescharacteristic
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×C22⋊C8—31no—
196C2×C22⋊C8—31no—
197C2×C4×C8—31no—
198#398—61no—
199#394—61no—
200#388—61no—
201#388—61no—
202#382—31no—
203#380—31no—
204#380—31no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#340—31no—
210#340—31no—
211C23×D3C2×D411yescharacteristic
212C23×D3C2×D411yescharacteristic
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8#4112yes—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2411yescharacteristic
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232C2×D12—22no—
233C2×D12—22no—
234C2×D12—41no—
235C2×C4×D3—24no—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—21no—
244C2×C4×D3—21no—
245C2×C4×D3—21no—
246C2×C4×D3—21no—
247C2×C4×D3—21no—
248C2×C4×D3—42no—
249C2×C4×D3—42no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6C2×D412yes—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C3×C4⋊C4—24no—
263C3×C4⋊C4—24no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—42no—
269C3×C4⋊C4C2×D412yes—
270C3×C4⋊C4C2×D412yes—
271C3×C42—42no—
272C3×C42C2×D412yes—
273C3×C42C2×D412yes—
274#216—28no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—22no—
279(C2×D3)⋊C4—22no—
280(C2×D3)⋊C4—42no—
281(C2×D3)⋊C4—42no—
282(C2×D3)⋊C4—42no—
283(C2×D3)⋊C4—42no—
284C4⋊Dic3—24no—
285C4⋊Dic3—24no—
286C4⋊Dic3—22no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3C2×D412yes—
293Dic3⋊C4—24no—
294Dic3⋊C4—24no—
295Dic3⋊C4—42no—
296Dic3⋊C4—42no—
297C4×Dic3—24no—
298C4×Dic3—24no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8#4112yes—
305C22×Q8—31no—
306C22×Q8C22×D311yescharacteristic
307C22×D4—31no—
308C23×C4—31no—
309C23×C4—31no—
310C23×C4—61no—
311C2×Q16—62no—
312C2×Q16—62no—
313C2×Q16—62no—
314C22×C8—31no—
315C22×C8—31no—
316C22×C8C22×D311yescharacteristic
317C22×C8C22×D311yescharacteristic
318#126—68no—
319#125—22no—
320#125—68no—
321#125#6714yes—
322#123—68no—
323C22⋊Q8—62no—
324C22⋊Q8—62no—
325C22⋊Q8—62no—
326C22⋊Q8—62no—
327C22⋊Q8—62no—
328C22⋊Q8—62no—
329C22⋊Q8—121no—
330C22⋊Q8—121no—
331C4×Q8—22no—
332C4×Q8—22no—
333C4×Q8—34no—
334C4×Q8—62no—
335C4×D4—62no—
336C4×D4—62no—
337#117—62no—
338#117—68no—
339#117—62no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—31no—
344C2×C4⋊C4—31no—
345C2×C4⋊C4—31no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—62no—
348C2×C4⋊C4—61no—
349C2×C4⋊C4—61no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—62no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C4⋊C4C22×D311yescharacteristic
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C22⋊C4—31no—
359C2×C22⋊C4—31no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C42—21no—
368C2×C42—61no—
369C2×C42—61no—
370C2×C42C22×D311yescharacteristic
371#107—22no—
372#107—62no—
373#106—22no—
374C4⋊C8—22no—
375#103—22no—
376#103—22no—
377#103—62no—
378#103—62no—
379#103—121no—
380#103—121no—
381C22⋊C8—62no—
382C22⋊C8—62no—
383C22⋊C8—121no—
384C22⋊C8—121no—
385C4×C8—62no—
386#95—61no—
387#95—61no—
388#95—61no—
389#95—61no—
390C23×C3C22×D411yescharacteristic
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3#13512yes—
405C3×Q8—22no—
406C3×Q8—22no—
407C3×Q8—41no—
408C3×Q8—41no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4#12012yes—
426C2×C3×C4#12012yes—
427C2×C3×C4C22×D411yescharacteristic
428C2×C3×C4C22×D411yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4H(5,𝔽2)11yescharacteristic
432C2×C3×C42−1+411yescharacteristic
433C2×Dic3—22no—
434C2×Dic3—21no—
435C2×Dic3—22no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—21no—
440C2×Dic3—21no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451D12—44no—
452C4×D3—48no—
453C4×D3—41no—
454C4×D3—41no—
455C4×D3—41no—
456C4×D3—41no—
457C4×D3—41no—
458C4×D3—41no—
459C4×D3—41no—
460C4×D3—41no—
461Dic6—22no—
462Dic6—22no—
463Dic6—41no—
464Dic6—41no—
465C3×C8—41no—
466C3×C8—41no—
467C3⋊C8—22no—
468C3⋊C8—41no—
469C24—31no—
470C24—31no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—32no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8#23912yes—
483C2×D4—62no—
484C2×D4—62no—
485C2×D4—121no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—31no—
491C22×C4—31no—
492C22×C4—64no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—122no—
510C22×C4—122no—
511C22×C4D3×D411yescharacteristic
512C22×C4D3×D411yescharacteristic
513C22×C4C23×D311yescharacteristic
514Q16—68no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—32no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—32no—
534C4⋊C4—42no—
535C4⋊C4—64no—
536C4⋊C4—64no—
537C4⋊C4—64no—
538C4⋊C4—62no—
539C4⋊C4—64no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—122no—
546C4⋊C4—122no—
547C4⋊C4C2×#6712yes—
548C4⋊C4C2×#6712yes—
549C22⋊C4—64no—
550C22⋊C4—64no—
551C22⋊C4—64no—
552C22⋊C4—62no—
553C22⋊C4—62no—
554C22⋊C4—122no—
555C22⋊C4—122no—
556C22⋊C4—122no—
557C22⋊C4—122no—
558C42—42no—
559C42—64no—
560C42—64no—
561C42D3×D412yes—
562C42C2×#6712yes—
563C22×C3C2×#12011yescharacteristic
564C22×C3#54611yescharacteristic
565C22×C3#54711yescharacteristic
566C22×C3C2×#13511yescharacteristic
567C22×C3#57511yescharacteristic
568C22×C3#57811yescharacteristic
569C22×C3#57811yescharacteristic
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—41no—
574C2×D3—41no—
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—41no—
578C2×D3—41no—
579C2×D3—41no—
580C2×D3—41no—
581C2×D3—41no—
582C2×D3—41no—
583C2×D3—41no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—42no—
587C3×C4—42no—
588C3×C4—42no—
589C3×C4—81no—
590C3×C4#52511yescharacteristic
591C3×C4#53711yescharacteristic
592C3×C4#54811yescharacteristic
593C3×C4#55011yescharacteristic
594Dic3—42no—
595Dic3—41no—
596Dic3—41no—
597Dic3—42no—
598Dic3—81no—
599Dic3—81no—
600C23—32no—
601C23—61no—
602C23—61no—
603C23—61no—
604C23—61no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23C2×D3×D411yescharacteristic
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619Q8—62no—
620Q8—62no—
621Q8—121no—
622Q8—121no—
623D4—124no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—62no—
641C2×C4—61no—
642C2×C4—62no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—128no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—121no—
654C2×C4—121no—
655C2×C4—121no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4#93712yes—
668C2×C4#93712yes—
669C2×C4C2×D3×D411yescharacteristic
670C2×C4C2×#23911yescharacteristic
671C2×C4#100711yescharacteristic
672C2×C4D3×#4111yescharacteristic
673C2×C4#100911yescharacteristic
674C2×C4C22×#6711yescharacteristic
675C8—41no—
676C8—41no—
677C8—62no—
678C8—121no—
679C2×C3#240711yescharacteristic
680C2×C3#300211yescharacteristic
681C2×C3#301111yescharacteristic
682C2×C3#330011yescharacteristic
683C2×C3#332711yescharacteristic
684C2×C3#333611yescharacteristic
685C2×C3#335211yescharacteristic
686D3—42no—
687D3—81no—
688C22—62no—
689C22—62no—
690C22—62no—
691C22—121no—
692C22—121no—
693C22—121no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22—121no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22#563011yescharacteristic
703C22#563111yescharacteristic
704C22D3×#13511yescharacteristic
705C22#576811yescharacteristic
706C22#577911yescharacteristic
707C22#577911yescharacteristic
708C22C2×#93711yescharacteristic
709C4—22no—
710C4—22no—
711C4—42no—
712C4—42no—
713C4—42no—
714C4—81no—
715C4—121no—
716C4—121no—
717C4—122no—
718C4—122no—
719C4—241no—
720C4—241no—
721C4#562711yescharacteristic
722C4#562911yescharacteristic
723C4#581711yescharacteristic
724C4#583411yescharacteristic
725C3#2412711yescharacteristic, complemented, Sylow
726C2—122no—
727C2—241no—
728C2#8124511yescharacteristic
729C2#8125211yescharacteristic
730C2#8125311yescharacteristic
731C2#8126011yescharacteristic
732C2#8281211yescharacteristic
733C2#8391111yescharacteristic
734C2#8398311yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#479C2
socleC23×C3C22×D4
prime radicalC22×D12D4
hypercenterC2×#479D3
hypocenterC3#24127
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
2. C2×C3×#479C2semidirect
4. C2×C4×#216C2semidirect
5. #71740C2semidirect
6. #70635C2semidirect
7. #70632C2semidirect
8. #70582C2semidirect
9. #70580C2semidirect
10. #70486C2semidirect
12. #70273C2semidirect
13. #70273C2semidirect
14. #70269C2semidirect
15. #70268C2semidirect
65. C2×#479D3semidirect
725. C3#24127semidirect

Maximal subgroups

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

subgroupindex
C2×#56942
C2×C3×#4792
#824992
C2×C4×#2162
#717402
#706352
#706322
#705822
#705802
#704862
#704702
#702732
#702692
#702682
#241273