Finite Group Databasebeta

← #10846310

Subgroups — #10846310

Order 768.

970 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2429C211yesmaximal, characteristic
2C2×#5092C211yesmaximal, characteristic, complemented
3C2×#5051C211yesmaximal, characteristic
4C2×#5051C211yesmaximal, characteristic
5C2×C4×#216C211yesmaximal, characteristic, complemented
6#73488C211yesmaximal, characteristic
7#71781C211yesmaximal, characteristic, complemented
8#71700C211yesmaximal, characteristic
9#71700C211yesmaximal, characteristic
10#71632C211yesmaximal, characteristic, complemented
11#69690C211yesmaximal, characteristic, complemented
12#69677C211yesmaximal, characteristic, complemented
13#69633C211yesmaximal, characteristic, complemented
14#69619C211yesmaximal, characteristic, complemented
15C22⋊C4×C3⋊C8C211yesmaximal, characteristic
16#25415—31nomaximal, Sylow
17C2×C3×C4⋊Q8C2211yescharacteristic
18C2×C3×C22⋊Q8C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×C4×Q8C2211yescharacteristic
21C22×#216C2211yescharacteristic
22C22×#216C2211yescharacteristic
23C22×#216C2211yescharacteristic
24C22×#216C2211yescharacteristic
25C2×#924C2211yescharacteristic
26C2×#924C2211yescharacteristic
27C23×C3⋊C8C2211yescharacteristic
28C2×#869C2211yescharacteristic
29C2×C4×Dic6C2211yescharacteristic
30C3×#398—21no—
31C3×#396—21no—
32C3×#391C2211yescharacteristic
33C3×#389—21no—
34C3×#389C2211yescharacteristic
35C3×#388—21no—
36C3×C4×C22⋊C4C2211yescharacteristic
37C2×#835C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×#835C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#830C2211yescharacteristic
42#5092—24no—
43#5051—24no—
44#5051—24no—
45C4×#216—24no—
46C2×#810C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#807C2211yescharacteristic
51C2×#807C2211yescharacteristic
52#4951—21no—
53#4948—21no—
54#4929C2211yescharacteristic
55#4928C2211yescharacteristic
56C2×C4×C3⋊C8C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4657—21no—
59#4647—21no—
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#494—31no—
65C2×#467—31no—
66C2×#467—31no—
67C2×C4×Q16—31no—
68#2429—31no—
69#2429D311yescharacteristic
70#2043—31no—
71#2043—31no—
72#2001—31no—
73#2001—31no—
74#1969—31no—
75#1942—31no—
76#1878—31no—
77#1878—31no—
78C8×C22⋊C4—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×Dic6C2311yescharacteristic
83C22×Dic6C2311yescharacteristic
84C3×C4⋊Q8—22no—
85C3×C4⋊Q8—41no—
86C3×C22⋊Q8—22no—
87C3×C22⋊Q8—22no—
88C3×C22⋊Q8—41no—
89C3×C22⋊Q8—41no—
90C3×C4×Q8—22no—
91C3×C4×Q8—41no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4D411yescharacteristic
103C2×C3×C22⋊C4D411yescharacteristic
104C2×C3×C42—21no—
105C2×C3×C42C2311yescharacteristic
106C2×C3×C42C2311yescharacteristic
107C2×#217—21no—
108C2×#217—21no—
109C2×#216—22no—
110C2×#216—22no—
111C2×#216—22no—
112C2×#216—22no—
113C2×#216—22no—
114C2×#216—22no—
115C2×#216—22no—
116C2×#216—22no—
117C2×#216—22no—
118C2×#216—41no—
119C2×#216—41no—
120C2×#216D414yes—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3—21no—
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125#924—22no—
126#924—22no—
127#924—41no—
128#924—41no—
129C2×Dic3⋊C4—21no—
130C2×Dic3⋊C4—21no—
131C2×Dic3⋊C4—21no—
132C2×Dic3⋊C4—21no—
133C2×C4×Dic3—21no—
134C22×C3⋊C8—22no—
135C22×C3⋊C8—22no—
136C22×C3⋊C8—22no—
137C22×C3⋊C8C2311yescharacteristic
138C22×C3⋊C8C2311yescharacteristic
139C22×C3⋊C8C2311yescharacteristic
140C22×C3⋊C8C2311yescharacteristic
141#869—22no—
142#869—41no—
143C4×Dic6—22no—
144C4×Dic6—41no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95—21no—
148C3×#95D411yescharacteristic
149C3×#95D411yescharacteristic
150#835—22no—
151#835—22no—
152#835—22no—
153#835—41no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157#830—22no—
158#810—22no—
159#810—22no—
160#810—22no—
161#810—41no—
162#807—22no—
163#807D414yes—
164C4×C3⋊C8—22no—
165C4×C3⋊C8—22no—
166C22×Q16—31no—
167C22×Q16—31no—
168C22×Q16—31no—
169C22×Q16—31no—
170C23×C8—31no—
171C2×C4⋊Q8—31no—
172C2×C4⋊Q8C2×D311yescharacteristic
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8C2×D311yescharacteristic
176C2×C22⋊Q8C2×D311yescharacteristic
177C2×C4×Q8—31no—
178C2×C4×Q8C2×D311yescharacteristic
179#494—64no—
180#467—64no—
181#467—64no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×#107—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#103—31no—
192C2×#103—31no—
193C2×C22⋊C8—31no—
194C2×C4×C8—31no—
195C2×C4×C8—31no—
196#398—21no—
197#398—61no—
198#396—21no—
199#396—61no—
200#391—31no—
201#391C2×D311yescharacteristic
202#389—21no—
203#389—31no—
204#389—61no—
205#389C2×D311yescharacteristic
206#388—21no—
207#388—61no—
208C4×C22⋊C4C2×D311yescharacteristic
209#340—31no—
210#340—31no—
211#336—31no—
212#336—31no—
213C24×C3C2×D411yescharacteristic
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8—21no—
222C2×C3×Q8—21no—
223C2×C3×Q8—21no—
224C2×C3×Q8—21no—
225C2×C3×Q8C2×D412yes—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2×D411yescharacteristic
238C22×C3×C4C2×D411yescharacteristic
239C22×C3×C4C2×D411yescharacteristic
240C22×C3×C4C2×D411yescharacteristic
241C22×C3×C4C2411yescharacteristic
242C22×Dic3—21no—
243C22×Dic3—21no—
244C22×Dic3—21no—
245C22×Dic3—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6C2×D412yes—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—42no—
264C3×C4⋊C4—42no—
265C3×C4⋊C4—42no—
266C3×C4⋊C4—42no—
267C3×C4⋊C4C2×D412yes—
268C3×C22⋊C4—22no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4Q1614yescomplemented
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—42no—
277#217—42no—
278#217—42no—
279#216—28no—
280#216—44no—
281#216—44no—
282#216—44no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—42no—
287C4⋊Dic3—42no—
288C4⋊Dic3C2×D412yes—
289Dic3⋊C4—42no—
290Dic3⋊C4—42no—
291Dic3⋊C4—42no—
292Dic3⋊C4—42no—
293C4×Dic3—42no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—44no—
303C2×C3⋊C8C2×D412yes—
304C2×C3⋊C8C2×D412yes—
305C2×C3⋊C8#4112yes—
306C2×C3⋊C8#4112yes—
307C22×Q8—31no—
308C22×Q8—31no—
309C22×Q8C22×D311yescharacteristic
310C22×Q8C22×D311yescharacteristic
311C23×C4C22×D311yescharacteristic
312C2×Q16—34no—
313C2×Q16—62no—
314C2×Q16—62no—
315C2×Q16—62no—
316C2×Q16—62no—
317C2×Q16—62no—
318C2×Q16—62no—
319C2×Q16—62no—
320C2×Q16—62no—
321C2×Q16—62no—
322C2×Q16—121no—
323C2×Q16—121no—
324C22×C8—31no—
325C22×C8—31no—
326C22×C8—31no—
327C22×C8—31no—
328C22×C8—62no—
329C22×C8—62no—
330C22×C8—62no—
331C4⋊Q8—22no—
332C4⋊Q8—41no—
333C4⋊Q8—62no—
334C4⋊Q8—121no—
335C22⋊Q8—22no—
336C22⋊Q8—22no—
337C22⋊Q8—41no—
338C22⋊Q8—41no—
339C22⋊Q8—62no—
340C22⋊Q8—62no—
341C22⋊Q8—121no—
342C22⋊Q8—121no—
343C4×Q8—22no—
344C4×Q8—41no—
345C4×Q8—62no—
346C4×Q8—121no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4C22×D311yescharacteristic
362C2×C4⋊C4C22×D311yescharacteristic
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4#6711yescharacteristic
368C2×C22⋊C4#6711yescharacteristic
369C2×C42—21no—
370C2×C42—61no—
371C2×C42C22×D311yescharacteristic
372C2×C42C22×D311yescharacteristic
373#107—34no—
374#107—62no—
375#103—62no—
376#103—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#103—62no—
381#103—121no—
382#103—121no—
383C22⋊C8—62no—
384C4×C8—62no—
385C4×C8—62no—
386#95—21no—
387#95—21no—
388#95—21no—
389#95—61no—
390#95—61no—
391#95—61no—
392#95#6711yescharacteristic
393#95#6711yescharacteristic
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3C2×Q1612yes—
401C23×C3C22×D411yescharacteristic
402C3×Q8—22no—
403C3×Q8—22no—
404C3×Q8—41no—
405C3×Q8—41no—
406C3×Q8—41no—
407C3×Q8—41no—
408C3×Q8—41no—
409C3×Q8—41no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—41no—
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—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4C2×Q1612yes—
439C2×C3×C4C2×Q1612yes—
440C2×C3×C4#13512yes—
441C2×C3×C4C22×D411yescharacteristic
442C2×C3×C4C22×D411yescharacteristic
443C2×C3×C4C2×#4111yescharacteristic
444C2×C3×C4C2×#4111yescharacteristic
445C2×C3×C4H(5,𝔽2)11yescharacteristic
446C2×C3×C4H(5,𝔽2)11yescharacteristic
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459Dic6—22no—
460Dic6—22no—
461Dic6—41no—
462Dic6—41no—
463Dic6—41no—
464Dic6—41no—
465Dic6—41no—
466Dic6—41no—
467C3⋊C8—22no—
468C3⋊C8—41no—
469C3⋊C8—41no—
470C3⋊C8#12114yes—
471C24C2×#6711yescharacteristic
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—32no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—61no—
493C2×Q8—61no—
494C2×Q8—61no—
495C2×Q8D3×D412yes—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4C2×#6711yescharacteristic
511C22×C4C2×#6711yescharacteristic
512C22×C4C2×#6711yescharacteristic
513C22×C4C2×#6711yescharacteristic
514C22×C4C2×#6711yescharacteristic
515C22×C4C23×D311yescharacteristic
516Q16—68no—
517Q16—124no—
518Q16—124no—
519Q16—124no—
520C2×C8—32no—
521C2×C8—32no—
522C2×C8—32no—
523C2×C8—32no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C2×C8—124no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—32no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—122no—
547C4⋊C4—122no—
548C4⋊C4—122no—
549C4⋊C4—122no—
550C4⋊C4—122no—
551C4⋊C4—122no—
552C4⋊C4D3×D412yes—
553C22⋊C4—22no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—122no—
557C22⋊C4—122no—
558C22⋊C4#21614yescomplemented
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—42no—
564C42—122no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3#53211yescharacteristic
573C22×C3D4211yescharacteristic
574C22×C3D4211yescharacteristic
575C22×C3C22×Q1611yescharacteristic
576C22×C3C2×#13511yescharacteristic
577C22×C3#57811yescharacteristic
578C22×C3#57811yescharacteristic
579C3×C4—22no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—41no—
583C3×C4—42no—
584C3×C4—41no—
585C3×C4—42no—
586C3×C4—81no—
587C3×C4—81no—
588C3×C4C2×#12111yescharacteristic
589C3×C4#54011yescharacteristic
590C3×C4#54611yescharacteristic
591C3×C4#55011yescharacteristic
592Dic3—42no—
593Dic3—42no—
594Dic3—81no—
595Dic3—81no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23C2×#21612yes—
603C23C22×#6711yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—41no—
609Q8—41no—
610Q8—41no—
611Q8—41no—
612Q8—62no—
613Q8—62no—
614Q8—121no—
615Q8—121no—
616Q8—121no—
617Q8—121no—
618Q8—121no—
619Q8—121no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—62no—
649C2×C4—62no—
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×C4C2×#21612yes—
661C2×C4C2×#21612yes—
662C2×C4#95012yes—
663C2×C4C2×D3×D411yescharacteristic
664C2×C4C2×D3×D411yescharacteristic
665C2×C4#100411yescharacteristic
666C2×C4#100411yescharacteristic
667C2×C4D3×#4111yescharacteristic
668C2×C4D3×#4111yescharacteristic
669C8—34no—
670C8—62no—
671C8—121no—
672C8—121no—
673C2×C3—42no—
674C2×C3#242811yescharacteristic
675C2×C3#317011yescharacteristic
676C2×C3#317711yescharacteristic
677C2×C3#328311yescharacteristic
678C2×C3#328511yescharacteristic
679C2×C3D4×Q1611yescharacteristic
680C2×C3D4×Q1611yescharacteristic
681C22—22no—
682C22—22no—
683C22—22no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22D4×#6711yescharacteristic
689C22D4×#6711yescharacteristic
690C22C22×#21611yescharacteristic
691C22C2×#95011yescharacteristic
692C22#583211yescharacteristic
693C22#583811yescharacteristic
694C22#583811yescharacteristic
695C4—22no—
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—42no—
702C4—81no—
703C4—81no—
704C4—122no—
705C4—122no—
706C4—241no—
707C4—241no—
708C4#559911yescharacteristic
709C4D3×#12111yescharacteristic
710C4#561011yescharacteristic
711C4#561511yescharacteristic
712C3#2541511yescharacteristic, complemented, Sylow
713C2—42no—
714C2#8265011yescharacteristic
715C2#8334411yescharacteristic
716C2#8344411yescharacteristic
717C2#8352411yescharacteristic
718C2#8354911yescharacteristic
719C2D4×#21611yescharacteristic
720C2D4×#21611yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2429C2
socleC23×C3C22×D4
prime radicalC24×C3C2×D4
hypercenter#2429D3
hypocenterC3#25415
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2429

Complements

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

NH ≅ G/Ntype
2. C2×#5092C2semidirect
5. C2×C4×#216C2semidirect
7. #71781C2semidirect
10. #71632C2semidirect
11. #69690C2semidirect
12. #69677C2semidirect
13. #69633C2semidirect
14. #69619C2semidirect
271. C3×C22⋊C4Q16semidirect
558. C22⋊C4#216semidirect
712. C3#25415semidirect

Maximal subgroups

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

subgroupindex
C3×#24292
C2×#50922
C2×#50512
C2×C4×#2162
#734882
#717812
#717002
#716322
#696902
#696772
#696332
#696192
C22⋊C4×C3⋊C82
#254153