Finite Group Databasebeta

← #33092565

Subgroups — #33092565

Order 18688.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988818C211yesmaximal, characteristic
2C2×#17988685C211yesmaximal, characteristic, complemented
3C22×#14556502C211yesmaximal, characteristic, complemented
4C4×#14556565C211yesmaximal, characteristic
5#22610815C211yesmaximal, characteristic, complemented
6#22610671C211yesmaximal, characteristic, complemented
7#22610627C211yesmaximal, characteristic, complemented
8#22610624C211yesmaximal, characteristic, complemented
9#22610357C211yesmaximal, characteristic
10#22610355C211yesmaximal, characteristic, complemented
11#22609958C211yesmaximal, characteristic, complemented
12#22609829C211yesmaximal, characteristic, complemented
13#22609761C211yesmaximal, characteristic, complemented
14#22609759C211yesmaximal, characteristic, complemented
15C4×C22⋊Q8×C73C211yesmaximal, characteristic, complemented
16C22×#11924015C2211yescharacteristic
17C23×#10596831C2211yescharacteristic
18C23×#10596831C2211yescharacteristic
19C2×#14556565C2211yescharacteristic
20C2×C4×D292C2211yescharacteristic
21C2×C4×C22⋊D73—21no—
22#17988818C418yescomplemented
23#17988685—24no—
24C2×#14556524C2211yescharacteristic
25C2×#14556524C2211yescharacteristic
26C2×#14556522C2211yescharacteristic
27C2×#14556515C2211yescharacteristic
28C2×#14556515C2211yescharacteristic
29C2×#14556515C2211yescharacteristic
30C2×#14556511C2211yescharacteristic
31C2×#14556511C2211yescharacteristic
32C2×#14556511C2211yescharacteristic
33C2×#14556502—24no—
34C2×#14556502C2211yescharacteristic
35C2×#14556502C2211yescharacteristic
36C2×#14556502C2211yescharacteristic
37C2×#14556502C2211yescharacteristic
38#17988489C2211yescharacteristic
39#17988485C2211yescharacteristic
40#17988478—21no—
41#17988466—21no—
42#17988447C2211yescharacteristic
43C4×C4⋊Dic73C2211yescharacteristic
44C4×#11924005—21no—
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988349C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988349C2211yescharacteristic
50#17988349C2211yescharacteristic
51C2×C22⋊Q8×C73C2211yescharacteristic
52C2×C4×Q8×C73C2211yescharacteristic
53C22×C42×C73C2211yescharacteristic
54#391×C73C2211yescharacteristic
55#389×C73C2211yescharacteristic
56#387×C73—21no—
57#385×C73—21no—
58#380×C73C2211yescharacteristic
59C4×C4⋊C4×C73—21no—
60C4×C4⋊C4×C73C2211yescharacteristic
61C4×C22⋊C4×C73—21no—
62C22×D292C2311yescharacteristic
63C22×C22⋊D73—21no—
64C22×C4×D73—21no—
65C2×#11924015—22no—
66C2×#11924015—22no—
67C2×#11924015C2×C414yescomplemented
68C22×#10596831—22no—
69C22×#10596831—22no—
70C22×#10596831—22no—
71C22×#10596831—22no—
72C22×#10596831—22no—
73C22×#10596831C2×C414yescomplemented
74C22×#10596831C2311yescharacteristic
75C22×#10596831C2311yescharacteristic
76C22×#10596831C2311yescharacteristic
77C22×#10596831C2311yescharacteristic
78#14556565—22no—
79#14556565C2×C414yes—
80C4×D292—22no—
81C4×D292—22no—
82C4×C22⋊D73—44no—
83C2×C4⋊Dic73C2311yescharacteristic
84C2×C4⋊Dic73C2311yescharacteristic
85C2×C4⋊Dic73C2311yescharacteristic
86C2×#11924007—21no—
87C2×C22⋊Dic73—21no—
88C2×#11924005—21no—
89C2×#11924005—21no—
90C2×#11924005—21no—
91C2×#11924005—21no—
92C2×C4×Dic73—21no—
93#14556524—22no—
94#14556524—22no—
95#14556522C2×C414yescomplemented
96#14556515—22no—
97#14556515—22no—
98#14556515C2×C414yescomplemented
99#14556511—22no—
100#14556511—22no—
101#14556511C2×C414yescomplemented
102#14556502—22no—
103#14556502—22no—
104#14556502—22no—
105#14556502D414yescomplemented
106#14556498—21no—
107#14556498—21no—
108#14556498—21no—
109C22×Q8×C73C2311yescharacteristic
110C23×C4×C73D411yescharacteristic
111C23×C4×C73D411yescharacteristic
112C23×C4×C73C2311yescharacteristic
113C22⋊Q8×C73—22no—
114C22⋊Q8×C73C2×C414yescomplemented
115C4×Q8×C73—22no—
116C4×Q8×C73—22no—
117C2×C4⋊C4×C73—21no—
118C2×C4⋊C4×C73—21no—
119C2×C4⋊C4×C73—21no—
120C2×C4⋊C4×C73C2311yescharacteristic
121C2×C4⋊C4×C73C2311yescharacteristic
122C2×C4⋊C4×C73C2311yescharacteristic
123C2×C22⋊C4×C73—21no—
124C2×C22⋊C4×C73—21no—
125C2×C42×C73—22no—
126C2×C42×C73—22no—
127C2×C42×C73—21no—
128C2×C42×C73—21no—
129C2×C42×C73D411yescharacteristic
130C2×C42×C73D411yescharacteristic
131C2×C42×C73C2311yescharacteristic
132C2×C42×C73C2311yescharacteristic
133#95×C73—21no—
134#95×C73—21no—
135#95×C73—21no—
136#95×C73—21no—
137#95×C73—21no—
138C23×D73—21no—
139C2×D292—21no—
140C2×D292—21no—
141C2×D292—21no—
142C2×D292—21no—
143C2×D292—21no—
144C2×D292C22×C412yes—
145C2×C22⋊D73—24no—
146C2×C22⋊D73—42no—
147C2×C22⋊D73—42no—
148C22×Dic73—21no—
149C22×Dic73—21no—
150C22×Dic73—21no—
151C2×C4×D73—42no—
152C2×C4×D73—42no—
153C2×C4×D73—42no—
154#11924015—28no—
155C2×#10596831—28no—
156C2×#10596831—21no—
157C2×#10596831—21no—
158C2×#10596831—21no—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—28no—
163C2×#10596831C22×C412yes—
164C2×#10596831C22×C412yes—
165C2×#10596831C2×D412yes—
166C2×#10596831C2×D412yes—
167C2×#10596831#4112yes—
168C2×#10596831#4112yes—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73C22×C412yes—
175#11924007—42no—
176C22⋊Dic73—42no—
177#11924005—24no—
178#11924005—42no—
179#11924005—42no—
180#11924005—42no—
181C4×Dic73—42no—
182C24×C73C2×D411yescharacteristic
183C2×Q8×C73—21no—
184C2×Q8×C73—21no—
185C2×Q8×C73—21no—
186C2×Q8×C73—21no—
187C2×Q8×C73—21no—
188C2×Q8×C73C22×C412yes—
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—22no—
194C22×C4×C73—22no—
195C22×C4×C73—21no—
196C22×C4×C73—21no—
197C22×C4×C73—22no—
198C22×C4×C73—22no—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73—41no—
202C22×C4×C73—41no—
203C22×C4×C73C22×C412yes—
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2×D411yescharacteristic
208C22×C4×C73C2×D411yescharacteristic
209C22×C4×C73#4112yes—
210C22×C4×C73C2411yescharacteristic
211C4⋊C4×C73—24no—
212C4⋊C4×C73—21no—
213C4⋊C4×C73—21no—
214C4⋊C4×C73—21no—
215C4⋊C4×C73—21no—
216C4⋊C4×C73—21no—
217C4⋊C4×C73—42no—
218C4⋊C4×C73—42no—
219C4⋊C4×C73C22×C412yes—
220C22⋊C4×C73—24no—
221C22⋊C4×C73—42no—
222C42×C73—22no—
223C42×C73—22no—
224C42×C73—21no—
225C42×C73—21no—
226C42×C73—42no—
227C42×C73—42no—
228C42×C73C2×D412yes—
229C42×C73#4112yes—
230C23×C73—21no—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73—21no—
234C23×C73C4×D412yes—
235C23×C73AGL(1,ℤ/8)12yes—
236C23×C73#13712yes—
237C23×C73C22×D411yescharacteristic
238C22×D73—22no—
239C22×D73—41no—
240C22×D73—41no—
241C22×D73—41no—
242C22×D73—41no—
243C22×D73—41no—
244C22×D73—41no—
245Q8×C73—22no—
246Q8×C73—22no—
247Q8×C73—41no—
248Q8×C73—41no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—22no—
258C2×C4×C73—22no—
259C2×C4×C73—22no—
260C2×C4×C73—22no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—21no—
266C2×C4×C73—21no—
267C2×C4×C73—44no—
268C2×C4×C73—44no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73—41no—
273C2×C4×C73—41no—
274C2×C4×C73—41no—
275C2×C4×C73—41no—
276C2×C4×C73—41no—
277C2×C4×C73—41no—
278C2×C4×C73—41no—
279C2×C4×C73C4×D412yes—
280C2×C4×C73#12112yes—
281C2×C4×C73#12112yes—
282C2×C4×C73C23×C411yescharacteristic
283C2×C4×C73C22×D411yescharacteristic
284C2×C4×C73C2×#4111yescharacteristic
285C2×C4×C73C2×#4111yescharacteristic
286C2×C4×C73C2×#4111yescharacteristic
287C2×C4×C73C2×#4111yescharacteristic
288C22⋊D73—48no—
289C2×Dic73—22no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73—41no—
297C2×Dic73—41no—
298D292—22no—
299D292—22no—
300D292—41no—
301D292—41no—
302C4×D73—84no—
303#10596831—22no—
304#10596831—22no—
305#10596831—22no—
306#10596831C4×D414yescomplemented
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—22no—
313C22×C73#44014yescomplemented
314C22×C73C2×C4×D411yescharacteristic
315C22×C73C2×#12111yescharacteristic
316C22×C73#53211yescharacteristic
317C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C73C2×#13711yescharacteristic
319C22×C73#57511yescharacteristic
320C22×C73#57511yescharacteristic
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—42no—
324C2×D73—81no—
325C2×D73—81no—
326C2×D73—81no—
327C2×D73—81no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—42no—
332C4×C73—41no—
333C4×C73—41no—
334C4×C73—42no—
335C4×C73—81no—
336C4×C73—81no—
337C4×C73C2×C4×D411yescharacteristic
338C4×C73C4×#4111yescharacteristic
339C4×C73#52511yescharacteristic
340C4×C73#52911yescharacteristic
341Dic73—42no—
342Dic73—81no—
343Dic73—81no—
344#21528—731nomaximal, Sylow
345C2×C73—24no—
346C2×C73C4×#12111yescharacteristic
347C2×C73C2×#44011yescharacteristic
348C2×C73#294311yescharacteristic
349C2×C73#305511yescharacteristic
350C2×C73#305611yescharacteristic
351C2×C73#318011yescharacteristic
352C2×C73#318111yescharacteristic
353D73—82no—
354C2×#465—731no—
355C2×#440—731no—
356C22×#97—731no—
357C4×C22⋊Q8D7311yescharacteristic, complemented
358C4×#121—731no—
359#1973—731no—
360#1944—731no—
361#1936—731no—
362#1935—731no—
363#1893—731no—
364#1892—731no—
365#1808—731no—
366#1776—731no—
367#1763—731no—
368#1762—731no—
369C73#2152811yescharacteristic, complemented, Sylow
370C22×SD16—731no—
371C23×C8—731no—
372C23×C8—731no—
373C2×C22⋊Q8C2×D7311yescharacteristic
374C2×#121—731no—
375C2×C4×Q8C2×D7311yescharacteristic
376C2×C4×D4—731no—
377C2×C4×D4—1461no—
378C22×C42C2×D7311yescharacteristic
379#465—738no—
380#440—1464no—
381C2×#107—731no—
382C2×#107—731no—
383C2×#106—731no—
384C2×#103—731no—
385C2×#103—731no—
386C2×#103—731no—
387C2×#102—731no—
388C2×#102—731no—
389C2×#102—731no—
390C2×#97—731no—
391C2×#97—731no—
392C2×#97—731no—
393C2×#97—731no—
394C2×#97—1464no—
395#391C2×D7311yescharacteristic
396#390—731no—
397#389—731no—
398#389C2×D7311yescharacteristic
399#388—1461no—
400#387—21no—
401#386—1461no—
402#385—21no—
403#380—731no—
404#380C2×D7311yescharacteristic
405C4×C4⋊C4—21no—
406C4×C4⋊C4—731no—
407C4×C4⋊C4C2×D7311yescharacteristic
408C4×C22⋊C4—21no—
409C4×C22⋊C4—1461no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#340—731no—
415#340—731no—
416C22×Q8C22×D7311yescharacteristic
417C22×D4—731no—
418C22×D4—1461no—
419C23×C4—1461no—
420C23×C4C22⋊D7311yescharacteristic
421C23×C4C22⋊D7311yescharacteristic
422C23×C4C22×D7311yescharacteristic
423C2×SD16—734no—
424C2×SD16—1462no—
425C2×SD16—1462no—
426C22×C8—731no—
427C22×C8—734no—
428C22×C8—731no—
429C22×C8—731no—
430C22×C8—731no—
431C22×C8—1462no—
432C22×C8—1462no—
433C22×C8—1462no—
434C22×C8—1462no—
435C22×C8—1462no—
436C22⋊Q8—22no—
437C22⋊Q8C4×D7314yescomplemented
438#121—734no—
439#121—1462no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×D4—2924no—
443C4×D4—1462no—
444C4×D4—1462no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—731no—
450C2×C4⋊C4—731no—
451C2×C4⋊C4—1461no—
452C2×C4⋊C4C22×D7311yescharacteristic
453C2×C4⋊C4C22×D7311yescharacteristic
454C2×C4⋊C4C22×D7311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1461no—
462C2×C42—22no—
463C2×C42—22no—
464C2×C42—21no—
465C2×C42—21no—
466C2×C42—1461no—
467C2×C42C22⋊D7311yescharacteristic
468C2×C42C22⋊D7311yescharacteristic
469C2×C42C22×D7311yescharacteristic
470C2×C42C22×D7311yescharacteristic
471#107—1462no—
472#107—1462no—
473#106—734no—
474#103—734no—
475#103—1462no—
476#103—1462no—
477#102—734no—
478#102—1462no—
479#102—1462no—
480#97—734no—
481#97—1462no—
482#97—1462no—
483#97—1462no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—1461no—
490#95—1461no—
491#95—1461no—
492C24—1461no—
493C24C2×C22⋊D7311yescharacteristic
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D7312yes—
500C2×D4—2922no—
501C2×D4—2922no—
502C2×D4—732no—
503C2×D4—1464no—
504C2×D4—1461no—
505C2×D4—1461no—
506C2×D4—1461no—
507C2×D4—1461no—
508C2×D4—1461no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—2922no—
524C22×C4—2922no—
525C22×C4—2922no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4C2×C4×D7312yes—
530C22×C4C2×C22⋊D7311yescharacteristic
531C22×C4C2×C22⋊D7311yescharacteristic
532C22×C4C2×C22⋊D7311yescharacteristic
533C22×C4C2×C22⋊D7311yescharacteristic
534C22×C4C2×C22⋊D7311yescharacteristic
535C22×C4#1192402812yes—
536C22×C4C23×D7311yescharacteristic
537SD16—1468no—
538C2×C8—732no—
539C2×C8—732no—
540C2×C8—732no—
541C2×C8—732no—
542C2×C8—732no—
543C2×C8—732no—
544C2×C8—1468no—
545C2×C8—1468no—
546C2×C8—1461no—
547C2×C8—1461no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C2×C8—1461no—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—2922no—
561C4⋊C4—732no—
562C4⋊C4—1461no—
563C4⋊C4—1461no—
564C4⋊C4—1461no—
565C4⋊C4—1461no—
566C4⋊C4—1461no—
567C4⋊C4C2×C4×D7312yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—2922no—
571C22⋊C4—2922no—
572C22⋊C4—2922no—
573C22⋊C4—2922no—
574C22⋊C4—1464no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42—21no—
579C42—42no—
580C42—42no—
581C42—2922no—
582C42D4×D7312yes—
583C42#1192402712yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—2921no—
589C23—2921no—
590C23—2921no—
591C23—2921no—
592C23—2921no—
593C23—2921no—
594C23—1462no—
595C23C4×C22⋊D7312yes—
596C23#1455661612yes—
597C23#1455662212yes—
598C23C22×C22⋊D7311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—2928no—
604D4—2921no—
605D4—2921no—
606D4—1462no—
607D4—1462no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—2921no—
639C2×C4—2921no—
640C2×C4—2921no—
641C2×C4—2921no—
642C2×C4—2921no—
643C2×C4—2921no—
644C2×C4—2921no—
645C2×C4—2921no—
646C2×C4—5844no—
647C2×C4—1462no—
648C2×C4C4×C22⋊D7312yes—
649C2×C4#1455656312yes—
650C2×C4#1455656312yes—
651C2×C4C22×C4×D7311yescharacteristic
652C2×C4C2×D4×D7311yescharacteristic
653C2×C4#41×D7311yescharacteristic
654C2×C4#41×D7311yescharacteristic
655C2×C4C2×#1192402711yescharacteristic
656C2×C4C2×#1192402811yescharacteristic
657C8—734no—
658C8—1462no—
659C8—1462no—
660C8—1462no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—2922no—
668C22—2922no—
669C22—2922no—
670C22—5841no—
671C22—5841no—
672C22—5841no—
673C22—5841no—
674C22#1798868514yescomplemented
675C22C2×C4×C22⋊D7311yescharacteristic
676C22C2×#1455656311yescharacteristic
677C22#1798913311yescharacteristic
678C22C2×#1455661611yescharacteristic
679C22C2×#1455662211yescharacteristic
680C22#1798938511yescharacteristic
681C22#1798938511yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—2922no—
692C4—5841no—
693C4—5841no—
694C4C4×D4×D7311yescharacteristic
695C4C4×#1192402711yescharacteristic
696C4#1798909611yescharacteristic
697C4#1798911711yescharacteristic
698C2—24no—
699C2—5842no—
700C2C4×#1455656311yescharacteristic
701C2C2×#1798868511yescharacteristic
702C2#2261872911yescharacteristic
703C2#2261955211yescharacteristic
704C2#2261955711yescharacteristic
705C2#2262063011yescharacteristic
706C2#2262063411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC4×C22⋊Q8×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenterC4×C22⋊Q8D73
hypocenterC73#21528
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×#17988685C2semidirect
3. C22×#14556502C2semidirect
5. #22610815C2semidirect
6. #22610671C2semidirect
7. #22610627C2semidirect
8. #22610624C2semidirect
10. #22610355C2semidirect
11. #22609958C2semidirect
12. #22609829C2semidirect
13. #22609761C2semidirect
14. #22609759C2semidirect
15. C4×C22⋊Q8×C73C2semidirect
22. #17988818C4semidirect
67. C2×#11924015C2×C4semidirect
73. C22×#10596831C2×C4semidirect
95. #14556522C2×C4semidirect
98. #14556515C2×C4semidirect
101. #14556511C2×C4semidirect
105. #14556502D4semidirect
114. C22⋊Q8×C73C2×C4semidirect
306. #10596831C4×D4semidirect
313. C22×C73#440semidirect
357. C4×C22⋊Q8D73semidirect
369. C73#21528semidirect
437. C22⋊Q8C4×D73semidirect
674. C22#17988685semidirect

Maximal subgroups

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

subgroupindex
C2×#179888182
C2×#179886852
C22×#145565022
C4×#145565652
#226108152
#226106712
#226106272
#226106242
#226103572
#226103552
#226099582
#226098292
#226097612
#226097592
C4×C22⋊Q8×C732
#2152873