Finite Group Databasebeta

← #10800987

Subgroups — #10800987

Order 768.

1344 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5572C211yesmaximal, characteristic
2C2×#5030C211yesmaximal, characteristic, complemented
3C2×#4809C211yesmaximal, characteristic
4C2×C4×Dic12C211yesmaximal, characteristic, complemented
5#73762C211yesmaximal, characteristic
6C3×C4×#103C211yesmaximal, characteristic, complemented
7#70266C211yesmaximal, characteristic
8#70239C211yesmaximal, characteristic, complemented
9#70236C211yesmaximal, characteristic, complemented
10#69753C211yesmaximal, characteristic
11#69475C211yesmaximal, characteristic, complemented
12#68908C211yesmaximal, characteristic, complemented
13#68907C211yesmaximal, characteristic, complemented
14#68879C211yesmaximal, characteristic
15#68877C211yesmaximal, characteristic
16#21463—31nomaximal, Sylow
17C22×D3×Q8C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×Q8×Dic3C2211yescharacteristic
20C22×#216C2211yescharacteristic
21C22×Dic12C2211yescharacteristic
22#5572—24no—
23#5572—24no—
24C2×#897C2211yescharacteristic
25C2×#892—21no—
26C2×#892C2211yescharacteristic
27C2×#887—21no—
28C2×#887C2211yescharacteristic
29C2×#872—21no—
30C2×#872C2211yescharacteristic
31C2×C4×Dic6—21no—
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C2×C3×C4×C8C2211yescharacteristic
37C3×C4×C4⋊C4C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×(C2×D3)⋊C8C2211yescharacteristic
41C2×#818C2211yescharacteristic
42C2×#816C2211yescharacteristic
43C2×#816C2211yescharacteristic
44#5030—24no—
45#4987C2211yescharacteristic
46#4984C2211yescharacteristic
47#4973C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#808C2211yescharacteristic
52#4940—21no—
53#4928—21no—
54C2×#803C2211yescharacteristic
55#4809C418yescomplemented
56C4×Dic12—24no—
57#4670—21no—
58#4653—21no—
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61#4550C2211yescharacteristic
62#4550C2211yescharacteristic
63#4529C2211yescharacteristic
64#4529C2211yescharacteristic
65C2×#519—31no—
66C2×#451—31no—
67C2×#441—31no—
68C2×C4×Q16—31no—
69#2323—31no—
70#1878—31no—
71#1878—31no—
72#1873—31no—
73#1865—31no—
74#1863—31no—
75#1854—31no—
76#1787—31no—
77#1763—31no—
78C4×#103D311yescharacteristic, complemented
79#1750—31no—
80C22×C3×Q8C2311yescharacteristic
81C2×D3×Q8—22no—
82C2×D3×Q8—22no—
83C2×D3×Q8—22no—
84C2×D3×Q8—22no—
85C2×D3×Q8—22no—
86C2×D3×Q8C2×C414yes—
87C22×C4×D3—21no—
88C22×C4×D3C2311yescharacteristic
89C22×Dic6—21no—
90C22×Dic6C2311yescharacteristic
91C22×Dic6C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C3×C4×Q8—22no—
95C3×C4×Q8D414yes—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C42—21no—
101C2×C3×C42—21no—
102C2×C3×C42C2311yescharacteristic
103Q8×Dic3—22no—
104Q8×Dic3—22no—
105C2×#216—22no—
106C2×#216—22no—
107C2×#216C2×C414yes—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4D411yescharacteristic
112C2×(C2×D3)⋊C4D411yescharacteristic
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4D411yescharacteristic
122C2×Dic3⋊C4D411yescharacteristic
123C2×C4×Dic3—21no—
124C2×C4×Dic3—21no—
125C2×C4×Dic3—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3—21no—
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C2×Dic12—22no—
132C2×Dic12—22no—
133C2×Dic12C2×C414yes—
134#897—22no—
135#897C2×C414yes—
136#892—28no—
137#892—22no—
138#892—22no—
139#887—28no—
140#887—22no—
141#887—22no—
142#872—28no—
143#872—22no—
144#872—22no—
145C4×Dic6—28no—
146C4×Dic6—22no—
147C4×Dic6—22no—
148C4×Dic6—22no—
149C4×Dic6D414yes—
150C3×#103—22no—
151C3×#103C2×C414yes—
152C3×C4×C8—22no—
153C3×#95—21no—
154#835—22no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157C3⋊#95—21no—
158C3⋊#95—21no—
159(C2×D3)⋊C8—22no—
160(C2×D3)⋊C8C2×C414yes—
161#818—22no—
162#816—22no—
163#816—22no—
164#810—22no—
165#810—22no—
166#810C2×C414yes—
167#808—22no—
168#803—22no—
169C23×Q8—31no—
170C22×Q16—31no—
171C22×Q16—31no—
172C2×C22⋊Q8—31no—
173#519—64no—
174#519—64no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×Q8—61no—
180C2×C4×Q8—61no—
181C2×C4×Q8C2×D311yescharacteristic
182C2×#117—31no—
183C2×#117—31no—
184C2×#117—61no—
185C2×#117—61no—
186#451—38no—
187#441—64no—
188C4×Q16—64no—
189C2×#107—31no—
190C2×#106—31no—
191C2×#103—31no—
192C2×#103—31no—
193C2×#103—31no—
194C2×#103—31no—
195C2×#103—31no—
196C2×#103—31no—
197C2×#103C2×D311yescharacteristic
198C2×#103C2×D311yescharacteristic
199C2×C22⋊C8—31no—
200C2×C22⋊C8—31no—
201C2×#97—31no—
202C2×C4×C8C2×D311yescharacteristic
203#391—31no—
204#389—31no—
205#389—61no—
206#388—61no—
207#388—61no—
208#387—61no—
209#380—31no—
210C4×C4⋊C4C2×D311yescharacteristic
211#340—31no—
212#340—31no—
213#340C2×D311yescharacteristic
214#340C2×D311yescharacteristic
215#336—31no—
216#336—31no—
217C23×D3C2×D411yescharacteristic
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8C22×C412yes—
222C2×C3×Q8C2×D412yes—
223C2×C3×Q8#4112yes—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2411yescharacteristic
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3C2×D411yescharacteristic
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
238D3×Q8—28no—
239D3×Q8—28no—
240D3×Q8—28no—
241D3×Q8—28no—
242C2×C4×D3—24no—
243C2×C4×D3—24no—
244C2×C4×D3—24no—
245C2×C4×D3—21no—
246C2×C4×D3—21no—
247C2×C4×D3—21no—
248C2×C4×D3—21no—
249C2×C4×D3C22×C412yes—
250C2×C4×D3#4112yes—
251C2×Dic6—24no—
252C2×Dic6—24no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—24no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6—21no—
261C2×Dic6—21no—
262C2×Dic6C22×C412yes—
263C2×Dic6C22×C412yes—
264C2×Dic6C2×D412yes—
265C2×Dic6#4112yes—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8C22×C412yes—
272C3×C4⋊C4—24no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4C22×C412yes—
278C3×C4⋊C4C2×D412yes—
279C3×C42—24no—
280C3×C42—81no—
281C3×C42C2×D412yes—
282C3×C42C2×D412yes—
283#216—28no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—22no—
287(C2×D3)⋊C4—22no—
288(C2×D3)⋊C4—81no—
289C4⋊Dic3—24no—
290C4⋊Dic3—21no—
291C4⋊Dic3—24no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—81no—
295C4⋊Dic3C2×D412yes—
296Dic3⋊C4—24no—
297Dic3⋊C4—22no—
298Dic3⋊C4—24no—
299Dic3⋊C4—22no—
300Dic3⋊C4—42no—
301C4×Dic3—24no—
302C4×Dic3—24no—
303C4×Dic3—24no—
304C4×Dic3—24no—
305C4×Dic3—21no—
306C4×Dic3—21no—
307C4×Dic3—42no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8—21no—
312C2×C3⋊C8—21no—
313C2×C3⋊C8C22×C412yes—
314Dic12—28no—
315C22×Q8—34no—
316C22×Q8—31no—
317C22×Q8—31no—
318C22×Q8—61no—
319C22×Q8—62no—
320C22×Q8—62no—
321C22×Q8—62no—
322C22×Q8—62no—
323C22×Q8—62no—
324C22×Q8C22×D311yescharacteristic
325C23×C4—31no—
326C23×C4—61no—
327C2×Q16—34no—
328C2×Q16—34no—
329C2×Q16—62no—
330C2×Q16—62no—
331C2×Q16—62no—
332C2×Q16—62no—
333C22×C8—31no—
334C22×C8—31no—
335C22×C8C22×D311yescharacteristic
336C22×C8C22×D311yescharacteristic
337C22⋊Q8—34no—
338C22⋊Q8—62no—
339C4×Q8—22no—
340C4×Q8—34no—
341C4×Q8—68no—
342C4×Q8—62no—
343C4×Q8—68no—
344C4×Q8—62no—
345C4×Q8—62no—
346C4×Q8—62no—
347C4×Q8—62no—
348C4×Q8—62no—
349C4×Q8—62no—
350C4×Q8D1214yes—
351#117—68no—
352#117—62no—
353#117—68no—
354#117—62no—
355#117—62no—
356#117—62no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—31no—
361C2×C4⋊C4—31no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4—61no—
366C2×C4⋊C4—61no—
367C2×C4⋊C4—61no—
368C2×C4⋊C4C22×D311yescharacteristic
369C2×C4⋊C4C22×D311yescharacteristic
370C2×C4⋊C4C22×D311yescharacteristic
371C2×C22⋊C4—31no—
372C2×C22⋊C4—31no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C22⋊C4—61no—
376C2×C42—21no—
377C2×C42—21no—
378C2×C42—31no—
379C2×C42—61no—
380C2×C42—61no—
381C2×C42—61no—
382C2×C42—61no—
383C2×C42—61no—
384C2×C42C22×D311yescharacteristic
385#107—62no—
386#106—62no—
387#103—22no—
388#103—34no—
389#103—62no—
390#103—62no—
391#103—62no—
392#103—62no—
393#103—62no—
394#103C4×D314yes—
395C22⋊C8—34no—
396C22⋊C8—62no—
397#97—62no—
398C4×C8—22no—
399#95—21no—
400#95—61no—
401#95—61no—
402#95—61no—
403#95—61no—
404C23×C3C22×D411yescharacteristic
405C22×D3—21no—
406C22×D3—21no—
407C22×D3—21no—
408C22×D3—21no—
409C22×D3—21no—
410C22×D3—21no—
411C22×D3C4×D412yes—
412C3×Q8—22no—
413C3×Q8—22no—
414C3×Q8—22no—
415C3×Q8C4×D414yes—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4#12012yes—
433C2×C3×C4#12012yes—
434C2×C3×C4C23×C411yescharacteristic
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C22×D411yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×C3×C4C2×#4111yescharacteristic
440C2×Dic3—22no—
441C2×Dic3—21no—
442C2×Dic3—22no—
443C2×Dic3—21no—
444C2×Dic3—22no—
445C2×Dic3—22no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—22no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3C4×D412yes—
461C4×D3—216no—
462C4×D3—22no—
463C4×D3—22no—
464C4×D3—22no—
465C4×D3—22no—
466Dic6—216no—
467Dic6—22no—
468Dic6—22no—
469Dic6—22no—
470Dic6—22no—
471Dic6—22no—
472Dic6—41no—
473Dic6—41no—
474Dic6C4×D414yes—
475C3×C8—22no—
476C3×C8—41no—
477C3⋊C8—22no—
478C3⋊C8—41no—
479C24—31no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—32no—
484C2×Q8—32no—
485C2×Q8—32no—
486C2×Q8—32no—
487C2×Q8—64no—
488C2×Q8—64no—
489C2×Q8—64no—
490C2×Q8—68no—
491C2×Q8—68no—
492C2×Q8—68no—
493C2×Q8—68no—
494C2×Q8—61no—
495C2×Q8—61no—
496C2×Q8—61no—
497C2×Q8—61no—
498C2×Q8—61no—
499C2×Q8—61no—
500C2×Q8—61no—
501C2×Q8—61no—
502C2×Q8C2×C4×D312yes—
503C2×Q8C2×D1212yes—
504C2×Q8#23512yes—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—31no—
510C22×C4—32no—
511C22×C4—32no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—64no—
515C22×C4—64no—
516C22×C4—64no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4D3×D411yescharacteristic
526C22×C4D3×D411yescharacteristic
527C22×C4C23×D311yescharacteristic
528Q16—68no—
529Q16—68no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—32no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—61no—
540C2×C8—61no—
541C2×C8C2×C4×D312yes—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—32no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—62no—
552C4⋊C4—62no—
553C4⋊C4—64no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—122no—
558C4⋊C4—241no—
559C4⋊C4C2×C4×D312yes—
560C4⋊C4C2×D1212yes—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—62no—
564C22⋊C4—62no—
565C22⋊C4—241no—
566C42—24no—
567C42—64no—
568C42—64no—
569C42—64no—
570C42—64no—
571C42—61no—
572C42—61no—
573C42—81no—
574C42—122no—
575C42C2×D1212yes—
576C42D3×D412yes—
577C22×C3C2×C4×D411yescharacteristic
578C22×C3C2×#12011yescharacteristic
579C22×C3#52511yescharacteristic
580C22×C3#57711yescharacteristic
581C22×C3#57811yescharacteristic
582C22×C3#57811yescharacteristic
583C22×C3#57811yescharacteristic
584C2×D3—22no—
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—41no—
588C2×D3—41no—
589C2×D3—41no—
590C2×D3—41no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—24no—
594C3×C4—42no—
595C3×C4—42no—
596C3×C4—81no—
597C3×C4C2×C4×D411yescharacteristic
598C3×C4C2×C4×D411yescharacteristic
599C3×C4#52511yescharacteristic
600C3×C4#52511yescharacteristic
601Dic3—22no—
602Dic3—24no—
603Dic3—41no—
604Dic3—41no—
605Dic3—42no—
606Dic3—42no—
607Dic3—81no—
608C23—32no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23C2×D3×D411yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8—34no—
620Q8—616no—
621Q8—62no—
622Q8—62no—
623Q8—62no—
624Q8—62no—
625Q8—62no—
626Q8—121no—
627Q8—121no—
628Q8C4×D1214yes—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—32no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—616no—
647C2×C4—61no—
648C2×C4—62no—
649C2×C4—62no—
650C2×C4—61no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—62no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4#88212yes—
672C2×C4#88212yes—
673C2×C4C22×C4×D311yescharacteristic
674C2×C4C22×D1211yescharacteristic
675C2×C4C2×#23511yescharacteristic
676C2×C4C2×D3×D411yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C8—22no—
680C8—41no—
681C8—62no—
682C8—121no—
683C2×C3C4×#12011yescharacteristic
684C2×C3#294711yescharacteristic
685C2×C3#295011yescharacteristic
686C2×C3#301111yescharacteristic
687C2×C3#301311yescharacteristic
688C2×C3#312111yescharacteristic
689C2×C3#312711yescharacteristic
690D3—42no—
691C22—62no—
692C22—62no—
693C22—62no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22C2×#88211yescharacteristic
699C22C4×D3×D411yescharacteristic
700C22#554711yescharacteristic
701C22#576211yescharacteristic
702C22#576611yescharacteristic
703C22#577111yescharacteristic
704C22#577111yescharacteristic
705C4—24no—
706C4—22no—
707C4—22no—
708C4—42no—
709C4—42no—
710C4—62no—
711C4—64no—
712C4—81no—
713C4—122no—
714C4—121no—
715C4—122no—
716C4—121no—
717C4—241no—
718C4C2×C4×D1211yescharacteristic
719C4#552411yescharacteristic
720C4C4×D3×D411yescharacteristic
721C4#554711yescharacteristic
722C3#2146311yescharacteristic, complemented, Sylow
723C2—122no—
724C2C4×#88211yescharacteristic
725C2#7879511yescharacteristic
726C2#7883711yescharacteristic
727C2#7964811yescharacteristic
728C2#7965811yescharacteristic
729C2#7972011yescharacteristic
730C2#7972411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×C4×#103C2
socleC23×C3C22×D4
prime radicalC23×D3C2×D4
cosocleC22×C3×C4C24
hypercenterC4×#103D3
hypocenterC3#21463
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
2. C2×#5030C2semidirect
4. C2×C4×Dic12C2semidirect
6. C3×C4×#103C2semidirect
8. #70239C2semidirect
9. #70236C2semidirect
11. #69475C2semidirect
12. #68908C2semidirect
13. #68907C2semidirect
55. #4809C4semidirect
78. C4×#103D3semidirect
722. C3#21463semidirect

Maximal subgroups

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

subgroupindex
C2×#55722
C2×#50302
C2×#48092
C2×C4×Dic122
#737622
C3×C4×#1032
#702662
#702392
#702362
#697532
#694752
#689082
#689072
#688792
#688772
#214633