Finite Group Databasebeta

← #33108593

Subgroups — #33108593

Order 18688.

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×#17988818C211yesmaximal, characteristic
2C2×C4×#11924015C211yesmaximal, characteristic, complemented
3C2×#17988623C211yesmaximal, characteristic, complemented
4#22612967C211yesmaximal, characteristic
5#22610788C211yesmaximal, characteristic, complemented
6#22610656C211yesmaximal, characteristic, complemented
7#22610569C211yesmaximal, characteristic, complemented
8#22610551C211yesmaximal, characteristic, complemented
9#22610253C211yesmaximal, characteristic
10#22610244C211yesmaximal, characteristic, complemented
11#22610185C211yesmaximal, characteristic, complemented
12#22610177C211yesmaximal, characteristic, complemented
13C4×#14556522C211yesmaximal, characteristic, complemented
14C22⋊C4×#10596831C211yesmaximal, characteristic, complemented
15C73×#2362C211yesmaximal, characteristic, complemented
16C22×#11924015C2211yescharacteristic
17C23×#10596831C2211yescharacteristic
18C2×#14556565C2211yescharacteristic
19C2×C4×D292C2211yescharacteristic
20C2×#14556550C2211yescharacteristic
21#17988818C418yescomplemented
22C4×#11924015—24no—
23#17988623—24no—
24C2×#14556524C2211yescharacteristic
25C2×#14556524C2211yescharacteristic
26C2×#14556522C2211yescharacteristic
27C2×#14556522C2211yescharacteristic
28C2×#14556522C2211yescharacteristic
29C2×#14556515C2211yescharacteristic
30C2×#14556515C2211yescharacteristic
31C2×#14556515C2211yescharacteristic
32C2×#14556511C2211yescharacteristic
33C2×#14556511C2211yescharacteristic
34C2×#14556511C2211yescharacteristic
35C2×C22⋊#10596831C2211yescharacteristic
36C2×C4×#10596831C2211yescharacteristic
37C2×C4×#10596831C2211yescharacteristic
38#17988489C2211yescharacteristic
39#17988487—21no—
40#17988485C2211yescharacteristic
41#17988476—21no—
42#17988463—21no—
43C4×C4⋊Dic73C2211yescharacteristic
44#17988434—21no—
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988349C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988342C2211yescharacteristic
50#17988342C2211yescharacteristic
51C2×C22⋊Q8×C73C2211yescharacteristic
52C2×C4×Q8×C73C2211yescharacteristic
53C2×#117×C73C2211yescharacteristic
54#391×C73C2211yescharacteristic
55#389×C73C2211yescharacteristic
56#388×C73—21no—
57#388×C73—21no—
58#387×C73—21no—
59C4×C4⋊C4×C73—21no—
60C4×C4⋊C4×C73C2211yescharacteristic
61C4×C22⋊C4×C73C2211yescharacteristic
62C22×D292C2311yescharacteristic
63C22×C22⋊D73—21no—
64C22×C4×D73—21no—
65C2×#11924015—22no—
66C2×#11924015—22no—
67C2×#11924015C2×C414yes—
68C22×#10596831—22no—
69C22×#10596831—22no—
70C22×#10596831C2×C414yescomplemented
71C22×#10596831C2311yescharacteristic
72C22×#10596831C2311yescharacteristic
73C22×#10596831C2311yescharacteristic
74C22×#10596831C2311yescharacteristic
75#14556565—22no—
76#14556565C2×C414yes—
77C4×D292—22no—
78C4×D292—41no—
79#14556550—22no—
80#14556550—41no—
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×C4⋊Dic73C2311yescharacteristic
84C2×#11924007—21no—
85C2×C22⋊Dic73—21no—
86C2×#11924005—21no—
87C2×#11924005—21no—
88C2×#11924005—21no—
89C2×#11924005—21no—
90C2×C4×Dic73—21no—
91C2×C4×Dic73—21no—
92#14556524—22no—
93#14556524—22no—
94#14556522—22no—
95#14556522C2×C414yescomplemented
96#14556522D414yescomplemented
97#14556515—22no—
98#14556515—41no—
99#14556515C2×C414yescomplemented
100#14556511—22no—
101#14556511—41no—
102#14556511C2×C414yes—
103C22⋊#10596831—22no—
104C4×#10596831—22no—
105C4×#10596831—22no—
106#14556498—21no—
107#14556498—21no—
108C22×Q8×C73C2311yescharacteristic
109C23×C4×C73C2311yescharacteristic
110C22⋊Q8×C73—22no—
111C22⋊Q8×C73C2×C414yescomplemented
112C4×Q8×C73—22no—
113C4×Q8×C73—41no—
114#117×C73—22no—
115#117×C73—41no—
116C2×C4⋊C4×C73—21no—
117C2×C4⋊C4×C73—21no—
118C2×C4⋊C4×C73—21no—
119C2×C4⋊C4×C73C2311yescharacteristic
120C2×C4⋊C4×C73C2311yescharacteristic
121C2×C4⋊C4×C73C2311yescharacteristic
122C2×C22⋊C4×C73—21no—
123C2×C22⋊C4×C73—21no—
124C2×C22⋊C4×C73D411yescharacteristic
125C2×C22⋊C4×C73D411yescharacteristic
126C2×C42×C73—21no—
127C2×C42×C73—21no—
128C2×C42×C73—21no—
129C2×C42×C73C2311yescharacteristic
130C2×C42×C73C2311yescharacteristic
131#95×C73—21no—
132#95×C73—21no—
133#95×C73—21no—
134#95×C73—21no—
135#95×C73D411yescharacteristic
136#95×C73D411yescharacteristic
137C23×D73—21no—
138C2×D292—21no—
139C2×D292—21no—
140C2×D292—21no—
141C2×D292—21no—
142C2×D292—21no—
143C2×D292C22×C412yes—
144C2×C22⋊D73—24no—
145C2×C22⋊D73—81no—
146C2×C22⋊D73—81no—
147C22×Dic73—21no—
148C22×Dic73—21no—
149C22×Dic73—21no—
150C2×C4×D73—42no—
151C2×C4×D73—42no—
152C2×C4×D73—81no—
153#11924015—28no—
154C2×#10596831—21no—
155C2×#10596831—21no—
156C2×#10596831—28no—
157C2×#10596831—21no—
158C2×#10596831—21no—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831C22×C412yes—
164C2×#10596831C22×C412yes—
165C2×#10596831C2×D412yes—
166C2×#10596831#4112yes—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73C22×C412yes—
172C4⋊Dic73C2×D412yes—
173#11924007—81no—
174C22⋊Dic73—42no—
175#11924005—24no—
176#11924005—42no—
177#11924005—42no—
178#11924005—81no—
179C4×Dic73—42no—
180C4×Dic73—81no—
181C24×C73C2×D411yescharacteristic
182C2×Q8×C73—21no—
183C2×Q8×C73—21no—
184C2×Q8×C73—21no—
185C2×Q8×C73—21no—
186C2×Q8×C73—21no—
187C2×Q8×C73C22×C412yes—
188C22×C4×C73—21no—
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73—21no—
196C22×C4×C73C22×C412yes—
197C22×C4×C73C2×D411yescharacteristic
198C22×C4×C73C2×D411yescharacteristic
199C22×C4×C73C2×D411yescharacteristic
200C22×C4×C73C2×D411yescharacteristic
201C22×C4×C73C2×D411yescharacteristic
202C22×C4×C73#4112yes—
203C22×C4×C73C2411yescharacteristic
204C4⋊C4×C73—24no—
205C4⋊C4×C73—21no—
206C4⋊C4×C73—21no—
207C4⋊C4×C73—21no—
208C4⋊C4×C73—21no—
209C4⋊C4×C73—42no—
210C4⋊C4×C73—42no—
211C4⋊C4×C73C22×C412yes—
212C4⋊C4×C73C2×D412yes—
213C22⋊C4×C73—24no—
214C22⋊C4×C73—22no—
215C22⋊C4×C73—22no—
216C22⋊C4×C73—42no—
217C42×C73—21no—
218C42×C73—21no—
219C42×C73—21no—
220C42×C73—21no—
221C42×C73—42no—
222C42×C73—42no—
223C42×C73—42no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73C4×D412yes—
231C23×C73C22×D411yescharacteristic
232C22×D73—22no—
233C22×D73—41no—
234C22×D73—41no—
235C22×D73—41no—
236C22×D73—41no—
237C22×D73—41no—
238C22×D73—41no—
239Q8×C73—22no—
240Q8×C73—22no—
241Q8×C73—41no—
242Q8×C73—41no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—22no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—21no—
256C2×C4×C73—22no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73C4×D412yes—
272C2×C4×C73#13512yes—
273C2×C4×C73#13512yes—
274C2×C4×C73C23×C411yescharacteristic
275C2×C4×C73C22×D411yescharacteristic
276C2×C4×C73C2×#4111yescharacteristic
277C2×C4×C73C2×#4111yescharacteristic
278C2×C4×C73H(5,𝔽2)11yescharacteristic
279C2×C4×C732−1+411yescharacteristic
280C22⋊D73—84no—
281C2×Dic73—22no—
282C2×Dic73—22no—
283C2×Dic73—41no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290D292—22no—
291D292—22no—
292D292—41no—
293D292—41no—
294C4×D73—84no—
295#10596831—22no—
296#10596831—41no—
297#10596831—41no—
298#10596831C4×D414yes—
299C22×C73—22no—
300C22×C73—22no—
301C22×C73—22no—
302C22×C73—41no—
303C22×C73—41no—
304C22×C73—41no—
305C22×C73—41no—
306C22×C73C2×C4×D411yescharacteristic
307C22×C73D4211yescharacteristic
308C22×C73#54711yescharacteristic
309C22×C73C2×#13511yescharacteristic
310C22×C73C2×#13511yescharacteristic
311C22×C73#57711yescharacteristic
312C22×C73#57711yescharacteristic
313C2×D73—42no—
314C2×D73—42no—
315C2×D73—42no—
316C2×D73—81no—
317C2×D73—81no—
318C2×D73—81no—
319C2×D73—81no—
320C4×C73—22no—
321C4×C73—22no—
322C4×C73—22no—
323C4×C73—41no—
324C4×C73—42no—
325C4×C73—42no—
326C4×C73—41no—
327C4×C73—42no—
328C4×C73—81no—
329C4×C73C2×C4×D411yescharacteristic
330C4×C73#52011yescharacteristic
331C4×C73#54811yescharacteristic
332C4×C73#55311yescharacteristic
333Dic73—42no—
334Dic73—42no—
335Dic73—81no—
336#23023—731nomaximal, Sylow
337C2×C73—42no—
338C2×C73#236111yescharacteristic
339C2×C73C4×#13511yescharacteristic
340C2×C73#294911yescharacteristic
341C2×C73#328211yescharacteristic
342C2×C73#328411yescharacteristic
343C2×C73#333711yescharacteristic
344C2×C73#334011yescharacteristic
345D73—82no—
346C2×#465—731no—
347C2×C4×SD16—731no—
348C2×#427—731no—
349#2363—731no—
350#2362D7311yescharacteristic, complemented
351#1968—731no—
352#1941—731no—
353#1928—731no—
354#1925—731no—
355#1875—731no—
356#1873—731no—
357#1863—731no—
358#1862—731no—
359C4×#106—731no—
360C8×C22⋊C4—731no—
361C73#2302311yescharacteristic, complemented, Sylow
362C22×SD16—731no—
363C23×C8—731no—
364C2×C22⋊Q8C2×D7311yescharacteristic
365C2×#121—731no—
366C2×C4×Q8C2×D7311yescharacteristic
367C2×C4×D4—731no—
368C2×#117—731no—
369C2×#117C2×D7311yescharacteristic
370#465—738no—
371C4×SD16—1464no—
372#427—1464no—
373C2×#107—731no—
374C2×#107—731no—
375C2×#106—731no—
376C2×#106—731no—
377C2×#106—731no—
378C2×#103—731no—
379C2×#103—731no—
380C2×#103—731no—
381C2×#102—731no—
382C2×#102—731no—
383C2×#102—731no—
384C2×C22⋊C8—731no—
385C2×C4×C8—731no—
386C2×C4×C8—731no—
387#391C2×D7311yescharacteristic
388#390—731no—
389#390—1461no—
390#389—731no—
391#389C2×D7311yescharacteristic
392#388—21no—
393#388—21no—
394#388—1461no—
395#387—21no—
396#386—1461no—
397C4×C4⋊C4—21no—
398C4×C4⋊C4—731no—
399C4×C4⋊C4C2×D7311yescharacteristic
400C4×C22⋊C4—1461no—
401C4×C22⋊C4C2×D7311yescharacteristic
402#340—731no—
403#340—731no—
404#340—731no—
405#340—731no—
406#336—731no—
407#336—731no—
408C22×Q8C22×D7311yescharacteristic
409C22×D4—731no—
410C22×D4—1461no—
411C23×C4—1461no—
412C23×C4C22×D7311yescharacteristic
413C2×SD16—734no—
414C2×SD16—1462no—
415C2×SD16—1462no—
416C22×C8—731no—
417C22×C8—734no—
418C22×C8—731no—
419C22×C8—731no—
420C22×C8—731no—
421C22×C8—1462no—
422C22×C8—1462no—
423C22⋊Q8—22no—
424C22⋊Q8C4×D7314yescomplemented
425#121—734no—
426#121—1462no—
427C4×Q8—22no—
428C4×Q8—41no—
429C4×D4—2921no—
430C4×D4—1462no—
431#117—22no—
432#117—41no—
433#117—2921no—
434#117—1462no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—731no—
439C2×C4⋊C4—731no—
440C2×C4⋊C4—731no—
441C2×C4⋊C4—1461no—
442C2×C4⋊C4C22×D7311yescharacteristic
443C2×C4⋊C4C22×D7311yescharacteristic
444C2×C4⋊C4C22×D7311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1461no—
448C2×C22⋊C4—1461no—
449C2×C22⋊C4—1461no—
450C2×C22⋊C4—1461no—
451C2×C22⋊C4—1461no—
452C2×C22⋊C4C22⋊D7311yescharacteristic
453C2×C22⋊C4C22⋊D7311yescharacteristic
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—21no—
457C2×C42—1461no—
458C2×C42—1461no—
459C2×C42C22×D7311yescharacteristic
460C2×C42C22×D7311yescharacteristic
461#107—1462no—
462#107—1462no—
463#106—734no—
464#106—734no—
465#106—1462no—
466#103—2921no—
467#103—734no—
468#103—1462no—
469#102—2921no—
470#102—734no—
471#102—1462no—
472C22⋊C8—1462no—
473C4×C8—1462no—
474C4×C8—1462no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—1461no—
480#95—1461no—
481#95C22⋊D7311yescharacteristic
482#95C22⋊D7311yescharacteristic
483C24—1461no—
484C24C2×C22⋊D7311yescharacteristic
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C2×C4×D7312yes—
491C2×D4—5841no—
492C2×D4—5841no—
493C2×D4—732no—
494C2×D4—1464no—
495C2×D4—1461no—
496C2×D4—1461no—
497C2×D4—1461no—
498C2×D4—1461no—
499C2×D4—1461no—
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—2922no—
509C22×C4—2922no—
510C22×C4—5841no—
511C22×C4—1461no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4C2×C4×D7312yes—
515C22×C4C2×C22⋊D7311yescharacteristic
516C22×C4C2×C22⋊D7311yescharacteristic
517C22×C4C2×C22⋊D7311yescharacteristic
518C22×C4C2×C22⋊D7311yescharacteristic
519C22×C4C2×C22⋊D7311yescharacteristic
520C22×C4#1192402812yes—
521C22×C4C23×D7311yescharacteristic
522SD16—1468no—
523C2×C8—732no—
524C2×C8—732no—
525C2×C8—732no—
526C2×C8—732no—
527C2×C8—1461no—
528C2×C8—1461no—
529C2×C8—1461no—
530C2×C8—1461no—
531C2×C8—1461no—
532C2×C8—1461no—
533C2×C8—1468no—
534C2×C8—1461no—
535C2×C8—1461no—
536C4⋊C4—24no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—5841no—
544C4⋊C4—732no—
545C4⋊C4—732no—
546C4⋊C4—1461no—
547C4⋊C4—1461no—
548C4⋊C4—1461no—
549C4⋊C4—1461no—
550C4⋊C4C2×C4×D7312yes—
551C4⋊C4D4×D7312yes—
552C22⋊C4—24no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—42no—
556C22⋊C4—2922no—
557C22⋊C4—2922no—
558C22⋊C4—2922no—
559C22⋊C4—5841no—
560C22⋊C4—1464no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—42no—
566C42—42no—
567C42—42no—
568C42—2922no—
569C42—5841no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—2921no—
577C23—2921no—
578C23—2921no—
579C23—2921no—
580C23—2921no—
581C23—2921no—
582C23—1462no—
583C23C4×C22⋊D7312yes—
584C23C22×C22⋊D7311yescharacteristic
585Q8—22no—
586Q8—22no—
587Q8—41no—
588Q8—41no—
589D4—2921no—
590D4—2921no—
591D4—5844no—
592D4—1462no—
593D4—1462no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—2921no—
623C2×C4—2921no—
624C2×C4—2921no—
625C2×C4—2921no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—5844no—
630C2×C4—1462no—
631C2×C4—1462no—
632C2×C4C4×C22⋊D7312yes—
633C2×C4#1455661112yes—
634C2×C4#1455661112yes—
635C2×C4C22×C4×D7311yescharacteristic
636C2×C4C2×D4×D7311yescharacteristic
637C2×C4#41×D7311yescharacteristic
638C2×C4C2×#1192402811yescharacteristic
639C2×C4#1455663611yescharacteristic
640C2×C4#1455663811yescharacteristic
641C8—2921no—
642C8—2921no—
643C8—734no—
644C8—1462no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—2922no—
653C22—2922no—
654C22—2922no—
655C22—5841no—
656C22—5841no—
657C22—5841no—
658C22—5841no—
659C22C2×C4×C22⋊D7311yescharacteristic
660C22D4×C22⋊D7311yescharacteristic
661C22#1798923611yescharacteristic
662C22C2×#1455661111yescharacteristic
663C22C2×#1455661111yescharacteristic
664C22#1798939511yescharacteristic
665C22#1798939511yescharacteristic
666C4—22no—
667C4—22no—
668C4—22no—
669C4—42no—
670C4—41no—
671C4—42no—
672C4—41no—
673C4—42no—
674C4—81no—
675C4—2922no—
676C4—2922no—
677C4—5841no—
678C4C4×D4×D7311yescharacteristic
679C4#1798906611yescharacteristic
680C4#1798924611yescharacteristic
681C4#1798928611yescharacteristic
682C2—42no—
683C2—5842no—
684C2#2261294811yescharacteristic
685C2C4×#1455661111yescharacteristic
686C2#2261879011yescharacteristic
687C2#2262163911yescharacteristic
688C2#2262165711yescharacteristic
689C2#2262231011yescharacteristic
690C2#2262233811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2362C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenter#2362D73
hypocenterC73#23023
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2362

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11924015C2semidirect
3. C2×#17988623C2semidirect
5. #22610788C2semidirect
6. #22610656C2semidirect
7. #22610569C2semidirect
8. #22610551C2semidirect
10. #22610244C2semidirect
11. #22610185C2semidirect
12. #22610177C2semidirect
13. C4×#14556522C2semidirect
14. C22⋊C4×#10596831C2semidirect
15. C73×#2362C2semidirect
21. #17988818C4semidirect
70. C22×#10596831C2×C4semidirect
95. #14556522C2×C4semidirect
96. #14556522D4semidirect
99. #14556515C2×C4semidirect
111. C22⋊Q8×C73C2×C4semidirect
350. #2362D73semidirect
361. C73#23023semidirect
424. C22⋊Q8C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179888182
C2×C4×#119240152
C2×#179886232
#226129672
#226107882
#226106562
#226105692
#226105512
#226102532
#226102442
#226101852
#226101772
C4×#145565222
C22⋊C4×#105968312
C73×#23622
#2302373