Finite Group Databasebeta

← #11069128

Subgroups — #11069128

Order 768.

2148 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×#5534C212yesmaximal
2C3×#2285C211yesmaximal, characteristic, complemented
3#82263C212yesmaximal, complemented
4#82076C211yesmaximal, characteristic, complemented
5C4×#930C211yesmaximal, characteristic
6#74364C212yesmaximal, complemented
7#74326C212yesmaximal, complemented
8#74247C214yesmaximal, complemented
9#74043C214yesmaximal, complemented
10#73937C212yesmaximal, complemented
11#73911C212yesmaximal, complemented
12#73802C211yesmaximal, characteristic, complemented
13#73781C212yesmaximal, complemented
14C4⋊C4×D12C211yesmaximal, characteristic, complemented
15#73715C211yesmaximal, characteristic, complemented
16#73674C212yesmaximal, complemented
17#73651C211yesmaximal, characteristic, complemented
18#39350—31nomaximal, Sylow
19C2×C3×#117C2212yes—
20C22×C3×C42C2211yescharacteristic
21C2×#930C2211yescharacteristic
22C2×C4×#67C2212yes—
23C2×#924C2212yes—
24#5534—216no—
25C2×#898C2214yes—
26C2×#896C2214yes—
27C2×D3×C4⋊C4C2212yes—
28C2×#888C2212yes—
29C2×#885C2214yes—
30C2×#883C2214yes—
31C2×#875C2212yes—
32C2×C4×D12C2212yes—
33C2×C4×D12C2211yescharacteristic
34C2×#869C2211yescharacteristic
35C2×#869C2212yes—
36C2×C4×Dic6C2212yes—
37C3×#384C2211yescharacteristic
38C3×#384C2211yescharacteristic
39C3×#382C2212yes—
40C3×#380C2212yes—
41C3×#380C2211yescharacteristic
42C3×#380C2211yescharacteristic
43C3×C4×C4⋊C4C2211yescharacteristic
44C3×C4×C4⋊C4C2212yes—
45C3×C4×C4⋊C4C2211yescharacteristic
46#5213C2212yes—
47#5212C2212yes—
48#5212C2211yescharacteristic
49#5212C2212yes—
50#4992C2214yes—
51#4989C2214yes—
52#4987C2212yes—
53#4987C2212yes—
54#4987C2212yes—
55#4985C2214yes—
56#4984C2212yes—
57#4983C2214yes—
58#4980C2214yes—
59#4979C2214yes—
60Dic3×C4⋊C4C2212yes—
61#4972C2212yes—
62#4952C2214yes—
63#4952C2214yes—
64#4940C2212yes—
65#4939C2211yescharacteristic
66C4×(C2×D3)⋊C4C2212yes—
67#4935C2211yescharacteristic
68C4×C4⋊Dic3C2211yescharacteristic
69#4929C2212yes—
70#4929C2212yes—
71#4929C2212yes—
72#4928C2212yes—
73#4928C2212yes—
74#4928C2212yes—
75#4928C2212yes—
76#4928C2211yescharacteristic
77#4675C2214yes—
78#4674C2214yes—
79#4668C2214yes—
80#4664C2214yes—
81#4657C2214yes—
82#4656C2214yes—
83#4654C2214yes—
84#4646C2214yes—
85C2×#542—32no—
86#2857—31no—
87#2717—34no—
88#2698—34no—
89#2625—32no—
90#2551—31no—
91#2547—32no—
92#2547—31no—
93#2496—32no—
94#2486—32no—
95#2451—32no—
96#2447—32no—
97#2440—32no—
98#2365—31no—
99D4×C4⋊C4—31no—
100C4×#121—31no—
101#2285D311yescharacteristic, complemented
102C23×C3×C4C2311yescharacteristic
103C23×C3×C4C2311yescharacteristic
104C23×C3×C4C2311yescharacteristic
105C22×#67C2312yes—
106C22×D12C2311yescharacteristic
107C22×C4×D3C2312yes—
108C22×C4×D3C2314yes—
109C22×Dic6C2312yes—
110C22×Dic6C2314yes—
111C3×#117—28no—
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2312yes—
115C2×C3×C4⋊C4C2312yes—
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C22⋊C4C2312yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C42—24no—
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C2×C3×C42C2312yes—
127C2×C3×C42C2312yes—
128C2×C3×C42C2311yescharacteristic
129C2×#217C2314yes—
130C2×#217C2312yes—
131#930D418yes—
132C4×#67—44no—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×C4⋊Dic3C2312yes—
141C2×C4⋊Dic3C2314yes—
142C2×C4⋊Dic3C2311yescharacteristic
143C2×C4⋊Dic3C2311yescharacteristic
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2312yes—
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2311yescharacteristic
149#924—28no—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2314yes—
155C2×C4×Dic3C2314yes—
156C2×C4×Dic3C2312yes—
157#898—216no—
158#896—216no—
159D3×C4⋊C4—44no—
160#888—44no—
161#885—216no—
162#883—216no—
163#875—28no—
164C4×D12—28no—
165C4×D12—24no—
166#869—24no—
167#869—28no—
168C4×Dic6—28no—
169C3×#95C2312yes—
170C3×#95C2312yes—
171C3×#95C2312yes—
172C3×#95C2312yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2312yes—
177C3⋊#95C2314yes—
178C3⋊#95C2314yes—
179C3⋊#95C2314yes—
180C3⋊#95C2314yes—
181C3⋊#95C2314yes—
182C3⋊#95C2312yes—
183C3⋊#95C2312yes—
184#542—616no—
185C2×C4⋊Q8—32no—
186C2×C4⋊Q8—31no—
187C2×C4⋊Q8—32no—
188C2×#126—34no—
189C2×#124—34no—
190C2×#124—32no—
191C2×#123—34no—
192C2×C22⋊Q8—32no—
193C2×C22⋊Q8—34no—
194C2×#121—31no—
195C2×C4×Q8—32no—
196C2×C4×D4—32no—
197C2×C4×D4—32no—
198C2×C4×D4—31no—
199C2×#117C2×D312yes—
200C22×C4⋊C4—32no—
201C22×C42C2×D311yescharacteristic
202#400—34no—
203#398—34no—
204#398—34no—
205#397—34no—
206#397—34no—
207#397—34no—
208#397—34no—
209#397—34no—
210#395—34no—
211#395—34no—
212#391—32no—
213#391—32no—
214#391—32no—
215#391—34no—
216#390—31no—
217#389—32no—
218#389—32no—
219#389—32no—
220#389—32no—
221#389—32no—
222#389—32no—
223#389—31no—
224#388—32no—
225#387—34no—
226#387—34no—
227#386—32no—
228#385—34no—
229#385—34no—
230#384—31no—
231#384C2×D311yescharacteristic
232#384C2×D311yescharacteristic
233#382C2×D312yes—
234#381—34no—
235#380—32no—
236#380—32no—
237#380—31no—
238#380—32no—
239#380—32no—
240#380—32no—
241#380C2×D312yes—
242#380C2×D311yescharacteristic
243#380C2×D311yescharacteristic
244C4×C4⋊C4—32no—
245C4×C4⋊C4—31no—
246C4×C4⋊C4C2×D311yescharacteristic
247C4×C4⋊C4C2×D312yes—
248C4×C4⋊C4C2×D311yescharacteristic
249C4×C22⋊C4—32no—
250C24×C3C2411yescharacteristic
251C23×D3C2412yes—
252C22×C3×C4—22no—
253C22×C3×C4—22no—
254C22×C3×C4—22no—
255C22×C3×C4—22no—
256C22×C3×C4—22no—
257C22×C3×C4—22no—
258C22×C3×C4—22no—
259C22×C3×C4—41no—
260C22×C3×C4C2×D414yes—
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2412yes—
263C22×C3×C4C2412yes—
264C22×C3×C4C2412yes—
265C22×C3×C4C2412yes—
266C22×C3×C4C2411yescharacteristic
267C22×C3×C4C2411yescharacteristic
268C22×C3×C4C2411yescharacteristic
269C22×C3×C4C2411yescharacteristic
270C22×C3×C4C2411yescharacteristic
271C2×#67—42no—
272C2×#67—42no—
273C2×#67C2×D418yes—
274C22×Dic3C2412yes—
275C22×Dic3C2412yes—
276C22×Dic3C2414yes—
277C22×Dic3C2414yes—
278C22×Dic3C2412yes—
279C2×D12—22no—
280C2×D12—22no—
281C2×D12C2×D414yes—
282C2×C4×D3—24no—
283C2×C4×D3—24no—
284C2×C4×D3—24no—
285C2×C4×D3—28no—
286C2×C4×D3—44no—
287C2×C4×D3—44no—
288C2×Dic6—24no—
289C2×Dic6—24no—
290C2×Dic6—24no—
291C2×Dic6—28no—
292C2×Dic6—44no—
293C2×Dic6—44no—
294C3×C4⋊C4—24no—
295C3×C4⋊C4—24no—
296C3×C4⋊C4—22no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—24no—
299C3×C4⋊C4—22no—
300C3×C4⋊C4—22no—
301C3×C4⋊C4—42no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—24no—
304C3×C42—24no—
305C3×C42—24no—
306C3×C42—22no—
307C3×C42—22no—
308C3×C42—22no—
309C3×C42#4114yes—
310#217—28no—
311#217—42no—
312(C2×D3)⋊C4—28no—
313(C2×D3)⋊C4—28no—
314(C2×D3)⋊C4—28no—
315(C2×D3)⋊C4—24no—
316(C2×D3)⋊C4—24no—
317(C2×D3)⋊C4—42no—
318(C2×D3)⋊C4C2×D418yes—
319C4⋊Dic3—24no—
320C4⋊Dic3—24no—
321C4⋊Dic3—24no—
322C4⋊Dic3—22no—
323C4⋊Dic3—24no—
324C4⋊Dic3—22no—
325C4⋊Dic3—28no—
326C4⋊Dic3—42no—
327C4⋊Dic3C2×D414yes—
328Dic3⋊C4—28no—
329Dic3⋊C4—28no—
330Dic3⋊C4—44no—
331Dic3⋊C4—44no—
332Dic3⋊C4—42no—
333C4×Dic3—24no—
334C4×Dic3—28no—
335C22×Q8—32no—
336C22×Q8—34no—
337C22×D4—32no—
338C22×D4—31no—
339C23×C4—32no—
340C23×C4—34no—
341C23×C4C22×D311yescharacteristic
342C23×C4C22×D311yescharacteristic
343C23×C4C22×D311yescharacteristic
344C4⋊Q8—68no—
345C4⋊Q8—64no—
346C4⋊Q8—124no—
347#126—616no—
348#124—68no—
349#124—616no—
350#123—616no—
351C22⋊Q8—616no—
352C22⋊Q8—68no—
353#121—38no—
354C4×Q8—68no—
355C4×D4—68no—
356C4×D4—64no—
357C4×D4—124no—
358#117—28no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—32no—
361C2×C4⋊C4—32no—
362C2×C4⋊C4—31no—
363C2×C4⋊C4—34no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—34no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—32no—
371C2×C4⋊C4—34no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—124no—
374C2×C4⋊C4C22×D311yescharacteristic
375C2×C4⋊C4C22×D312yes—
376C2×C4⋊C4C22×D312yes—
377C2×C4⋊C4C22×D311yescharacteristic
378C2×C4⋊C4C22×D311yescharacteristic
379C2×C4⋊C4C22×D311yescharacteristic
380C2×C4⋊C4C22×D312yes—
381C2×C4⋊C4C22×D312yes—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—34no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4C22×D312yes—
392C2×C22⋊C4C22×D312yes—
393C2×C42—24no—
394C2×C42—32no—
395C2×C42—34no—
396C2×C42C22×D312yes—
397C2×C42C22×D312yes—
398C2×C42C22×D311yescharacteristic
399C2×C42C22×D311yescharacteristic
400C2×C42C22×D311yescharacteristic
401C2×C42C22×D311yescharacteristic
402#95—32no—
403#95—32no—
404#95—32no—
405#95—34no—
406#95—34no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95—34no—
411#95—34no—
412#95—34no—
413#95C22×D312yes—
414#95C22×D312yes—
415#95C22×D312yes—
416#95C22×D312yes—
417C23×C3—21no—
418C23×C3—21no—
419C23×C3—21no—
420C23×C3—21no—
421C23×C3—21no—
422C23×C3—21no—
423C23×C3C22×D412yes—
424C23×C3C2511yescharacteristic
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—22no—
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—22no—
431C22×D3C22×D414yes—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—28no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—21no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—44no—
455C2×C3×C4—44no—
456C2×C3×C4C22×D412yes—
457C2×C3×C4C22×D412yes—
458C2×C3×C4C2×#4112yes—
459C2×C3×C4C2×#4112yes—
460C2×C3×C4C2×#4112yes—
461C2×C3×C4H(5,𝔽2)12yes—
462C2×C3×C42−1+412yes—
463C2×C3×C42−1+412yes—
464C2×C3×C42−1+412yes—
465#67—48no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—24no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—24no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—24no—
478C2×Dic3—22no—
479C2×Dic3—24no—
480C2×Dic3C22×D414yes—
481D12—28no—
482C4×D3—48no—
483C4×D3—88no—
484Dic6—48no—
485Dic6—88no—
486C24—32no—
487C24C23×D311yescharacteristic
488C2×Q8—68no—
489C2×Q8—64no—
490C2×Q8—64no—
491C2×Q8—64no—
492C2×Q8—124no—
493C2×Q8—124no—
494C2×D4—38no—
495C2×D4—34no—
496C2×D4—62no—
497C2×D4—62no—
498C2×D4—122no—
499C2×D4—122no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—32no—
508C22×C4—32no—
509C22×C4—32no—
510C22×C4—34no—
511C22×C4—34no—
512C22×C4—41no—
513C22×C4—68no—
514C22×C4—64no—
515C22×C4—64no—
516C22×C4—64no—
517C22×C4—124no—
518C22×C4—124no—
519C22×C4D3×D414yes—
520C22×C4C23×D311yescharacteristic
521C22×C4C23×D312yes—
522C22×C4C23×D312yes—
523C22×C4C23×D312yes—
524C22×C4C23×D312yes—
525C22×C4C23×D311yescharacteristic
526C22×C4C23×D311yescharacteristic
527C22×C4C23×D311yescharacteristic
528C22×C4C23×D311yescharacteristic
529C22×C4C23×D311yescharacteristic
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—34no—
538C4⋊C4—42no—
539C4⋊C4—68no—
540C4⋊C4—68no—
541C4⋊C4—62no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—68no—
546C4⋊C4—62no—
547C4⋊C4—64no—
548C4⋊C4—124no—
549C4⋊C4—122no—
550C4⋊C4—124no—
551C4⋊C4—122no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—38no—
555C22⋊C4—68no—
556C22⋊C4—68no—
557C22⋊C4—68no—
558C22⋊C4—68no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—122no—
562C22⋊C4—122no—
563C42—22no—
564C42—22no—
565C42—22no—
566C42—24no—
567C42—24no—
568C42—68no—
569C42—64no—
570C42#23514yes—
571C22×C3—22no—
572C22×C3—22no—
573C22×C3—22no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—41no—
578C22×C3C23×D411yescharacteristic
579C22×C3C22×#4111yescharacteristic
580C22×C3C2×H(5,𝔽2)11yescharacteristic
581C22×C3C2×2−1+411yescharacteristic
582C22×C3C2×2−1+411yescharacteristic
583C22×C3C2×2−1+411yescharacteristic
584C22×C3#58511yescharacteristic
585C2×D3—24no—
586C2×D3—24no—
587C2×D3—24no—
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—42no—
591C2×D3—42no—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—41no—
596C3×C4—42no—
597C3×C4—42no—
598C3×C4—42no—
599C3×C4—42no—
600C3×C4#54214yescomplemented
601C3×C4#54714yes—
602Dic3—24no—
603Dic3—42no—
604Dic3—44no—
605Dic3—44no—
606Dic3—42no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—34no—
614C23—62no—
615C23—62no—
616C23—62no—
617C23—62no—
618C23—62no—
619C23—62no—
620C23C2×D3×D412yes—
621C23C24×D311yescharacteristic
622Q8—128no—
623Q8—248no—
624D4—68no—
625D4—128no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—28no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—34no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—64no—
655C2×C4—64no—
656C2×C4—64no—
657C2×C4—62no—
658C2×C4—64no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—64no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—128no—
666C2×C4—248no—
667C2×C4C2×#23512yes—
668C2×C4C2×#23512yes—
669C2×C4C2×#23512yes—
670C2×C4C2×D3×D412yes—
671C2×C4C2×D3×D412yes—
672C2×C4#100712yes—
673C2×C4#100912yes—
674C2×C4#101012yes—
675C2×C4#101012yes—
676C2×C3—42no—
677C2×C3C2×#54211yescharacteristic
678C2×C3C2×#54711yescharacteristic
679C2×C3#349511yescharacteristic
680C2×C3#349611yescharacteristic
681C2×C3#349911yescharacteristic
682C2×C3#355011yescharacteristic
683C2×C3#355511yescharacteristic
684D3—44no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—64no—
693C22—64no—
694C22—64no—
695C22—122no—
696C22—122no—
697C22—122no—
698C22—122no—
699C22C22×#23511yescharacteristic
700C22C22×D3×D411yescharacteristic
701C22C2×#100711yescharacteristic
702C22C2×#100911yescharacteristic
703C22C2×#101011yescharacteristic
704C22C2×#101011yescharacteristic
705C22#596411yescharacteristic
706C4—22no—
707C4—22no—
708C4—22no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—42no—
713C4—41no—
714C4—64no—
715C4—124no—
716C4—124no—
717C4—122no—
718C4—122no—
719C4#550714yes—
720C4#553414yescomplemented
721C3#3935011yescharacteristic, complemented, Sylow
722C2—42no—
723C2—124no—
724C2C2×#550711yescharacteristic
725C2#8572711yescharacteristic
726C2C2×#553411yescharacteristic
727C2#8624111yescharacteristic
728C2#8624311yescharacteristic
729C2#8626711yescharacteristic
730C2#8626811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2285C2
prime radicalC2×#930C22
hypercenter#2285D3
hypocenterC3#39350
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2285

Complements

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

NH ≅ G/Ntype
2. C3×#2285C2semidirect
3. #82263C2semidirect
4. #82076C2semidirect
6. #74364C2semidirect
7. #74326C2semidirect
8. #74247C2semidirect
9. #74043C2semidirect
10. #73937C2semidirect
11. #73911C2semidirect
12. #73802C2semidirect
13. #73781C2semidirect
14. C4⋊C4×D12C2semidirect
15. #73715C2semidirect
16. #73674C2semidirect
17. #73651C2semidirect
101. #2285D3semidirect
600. C3×C4#542semidirect
720. C4#5534semidirect
721. C3#39350semidirect

Maximal subgroups

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

subgroupindex
C2×#55342
C3×#22852
#822632
#820762
C4×#9302
#743642
#743262
#742472
#740432
#739372
#739112
#738022
#737812
C4⋊C4×D122
#737152
#736742
#736512
#393503