Finite Group Databasebeta

← #33007985

Subgroups — #33007985

Order 18688.

2222 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988473C212yesmaximal, complemented
2C2×#17988447C211yesmaximal, characteristic
3C2×C4×C22⋊Dic73C211yesmaximal, characteristic
4#22608199C212yesmaximal, complemented
5#22608184C212yesmaximal, complemented
6#22608163C212yesmaximal, complemented
7#22608154C211yesmaximal, characteristic
8#22608154C211yesmaximal, characteristic
9#22608154C211yesmaximal, characteristic
10#22608154C211yesmaximal, characteristic
11C23×C4⋊C4×C73C211yesmaximal, characteristic
12C22×C4⋊Dic73C2212yes—
13C22×C22⋊Dic73C2211yescharacteristic
14C22×C22⋊Dic73C2211yescharacteristic
15C22×C22⋊Dic73C2211yescharacteristic
16C22×C22⋊Dic73C2211yescharacteristic
17C22×C4×Dic73C2212yes—
18#17988473—28no—
19#17988447—24no—
20C4×C22⋊Dic73—24no—
21C2×#14556498C2212yes—
22C2×#14556498C2212yes—
23C2×#14556498C2212yes—
24C2×#14556498C2212yes—
25C2×#14556498C2212yes—
26C2×#14556498C2212yes—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C2×#14556498C2212yes—
31C24×C4×C73C2211yescharacteristic
32C24×C4×C73C2211yescharacteristic
33C24×C4×C73C2211yescharacteristic
34C22×C4⋊C4×C73—28no—
35C22×C4⋊C4×C73C418yescomplemented
36C22×C4⋊C4×C73C2211yescharacteristic
37C22×C4⋊C4×C73C2211yescharacteristic
38C22×C4⋊C4×C73C2211yescharacteristic
39C22×C4⋊C4×C73C2211yescharacteristic
40C23×Dic73C2312yes—
41C23×Dic73C2312yes—
42C23×Dic73C2312yes—
43C23×Dic73C2312yes—
44C2×C4⋊Dic73—24no—
45C2×C4⋊Dic73—24no—
46C2×C4⋊Dic73—42no—
47C2×C22⋊Dic73—22no—
48C2×C22⋊Dic73—22no—
49C2×C22⋊Dic73—22no—
50C2×C22⋊Dic73—22no—
51C2×C22⋊Dic73—22no—
52C2×C22⋊Dic73—22no—
53C2×C22⋊Dic73—22no—
54C2×C22⋊Dic73—22no—
55C2×C22⋊Dic73—22no—
56C2×C22⋊Dic73—22no—
57C2×C22⋊Dic73D414yes—
58C2×C22⋊Dic73Q814yes—
59C2×C4×Dic73—24no—
60C2×C4×Dic73—24no—
61C2×C4×Dic73—42no—
62#14556498—24no—
63#14556498—24no—
64#14556498—24no—
65#14556498—24no—
66#14556498—24no—
67#14556498—24no—
68#14556498—24no—
69#14556498—24no—
70#14556498—42no—
71#14556498—42no—
72C25×C73C2311yescharacteristic
73C23×C4×C73—22no—
74C23×C4×C73—22no—
75C23×C4×C73—24no—
76C23×C4×C73—24no—
77C23×C4×C73—22no—
78C23×C4×C73—22no—
79C23×C4×C73—22no—
80C23×C4×C73—22no—
81C23×C4×C73—24no—
82C23×C4×C73—24no—
83C23×C4×C73—42no—
84C23×C4×C73—42no—
85C23×C4×C73C2×C414yes—
86C23×C4×C73C2×C414yes—
87C23×C4×C73C2×C414yes—
88C23×C4×C73C2311yescharacteristic
89C23×C4×C73C2311yescharacteristic
90C23×C4×C73C2311yescharacteristic
91C23×C4×C73C2311yescharacteristic
92C23×C4×C73C2311yescharacteristic
93C23×C4×C73C2311yescharacteristic
94C2×C4⋊C4×C73—24no—
95C2×C4⋊C4×C73—24no—
96C2×C4⋊C4×C73—24no—
97C2×C4⋊C4×C73—232no—
98C2×C4⋊C4×C73C2×C414yes—
99C2×C4⋊C4×C73C2×C414yes—
100C2×C4⋊C4×C73C2×C414yes—
101C2×C4⋊C4×C73C2×C414yes—
102C2×C4⋊C4×C73D418yes—
103C22×Dic73—22no—
104C22×Dic73—22no—
105C22×Dic73—22no—
106C22×Dic73—22no—
107C22×Dic73—22no—
108C22×Dic73—22no—
109C22×Dic73—22no—
110C22×Dic73—22no—
111C22×Dic73—22no—
112C22×Dic73—22no—
113C22×Dic73—22no—
114C22×Dic73—22no—
115C22×Dic73—22no—
116C22×Dic73—22no—
117C22×Dic73—22no—
118C22×Dic73—22no—
119C22×Dic73—22no—
120C22×Dic73—22no—
121C22×Dic73—22no—
122C22×Dic73—22no—
123C22×Dic73—22no—
124C22×Dic73—22no—
125C22×Dic73—22no—
126C22×Dic73—22no—
127C22×Dic73—22no—
128C22×Dic73—22no—
129C22×Dic73C2×D414yes—
130C22×Dic73C2×Q814yes—
131C4⋊Dic73—48no—
132C22⋊Dic73—28no—
133C22⋊Dic73—28no—
134C22⋊Dic73—44no—
135C22⋊Dic73—44no—
136C4×Dic73—48no—
137C24×C73—22no—
138C24×C73—22no—
139C24×C73—22no—
140C24×C73—22no—
141C24×C73C22×C412yes—
142C24×C73C2×D412yes—
143C24×C73C2×Q812yes—
144C24×C73#4112yes—
145C24×C73#4112yes—
146C24×C73#4112yes—
147C24×C73#4112yes—
148C24×C73C2411yescharacteristic
149C22×C4×C73—216no—
150C22×C4×C73—216no—
151C22×C4×C73—28no—
152C22×C4×C73—22no—
153C22×C4×C73—21no—
154C22×C4×C73—21no—
155C22×C4×C73—21no—
156C22×C4×C73—21no—
157C22×C4×C73—21no—
158C22×C4×C73—21no—
159C22×C4×C73—22no—
160C22×C4×C73—21no—
161C22×C4×C73—21no—
162C22×C4×C73—22no—
163C22×C4×C73—22no—
164C22×C4×C73—28no—
165C22×C4×C73—28no—
166C22×C4×C73—28no—
167C22×C4×C73—28no—
168C22×C4×C73—22no—
169C22×C4×C73—22no—
170C22×C4×C73—21no—
171C22×C4×C73—21no—
172C22×C4×C73—21no—
173C22×C4×C73—21no—
174C22×C4×C73—22no—
175C22×C4×C73—22no—
176C22×C4×C73—28no—
177C22×C4×C73—28no—
178C22×C4×C73—44no—
179C22×C4×C73—44no—
180C22×C4×C73—48no—
181C22×C4×C73—48no—
182C22×C4×C73—48no—
183C22×C4×C73—48no—
184C22×C4×C73C22×C412yes—
185C22×C4×C73C22×C412yes—
186C22×C4×C73C22×C412yes—
187C22×C4×C73C22×C412yes—
188C22×C4×C73C22×C412yes—
189C22×C4×C73C22×C412yes—
190C22×C4×C73C2×D414yes—
191C22×C4×C73C2×D414yes—
192C22×C4×C73C2×D414yes—
193C22×C4×C73#4114yes—
194C4⋊C4×C73—28no—
195C4⋊C4×C73—28no—
196C4⋊C4×C73—28no—
197C4⋊C4×C73C22⋊C4116yescomplemented
198C23×C73—22no—
199C23×C73—22no—
200C23×C73—22no—
201C23×C73—22no—
202C23×C73—24no—
203C23×C73—24no—
204C23×C73—24no—
205C23×C73—24no—
206C23×C73—24no—
207C23×C73—24no—
208C23×C73—24no—
209C23×C73—24no—
210C23×C73—24no—
211C23×C73—24no—
212C23×C73—24no—
213C23×C73—24no—
214C23×C73#11714yes—
215C23×C73C4×D414yes—
216C23×C73C4×Q814yes—
217C23×C73C22⋊Q814yes—
218C23×C73#12314yes—
219C23×C73#12514yes—
220C23×C73#12614yes—
221C23×C73C23×C411yescharacteristic
222C23×C73C22×D411yescharacteristic
223C23×C73C22×D412yes—
224C23×C73C22×Q811yescharacteristic
225C23×C73C2×#4111yescharacteristic
226C23×C73C2×#4111yescharacteristic
227C23×C73C2×#4111yescharacteristic
228C23×C73C2×#4112yes—
229C23×C73C2×#4111yescharacteristic
230C23×C73H(5,𝔽2)12yes—
231C23×C732−1+412yes—
232C2×C4×C73—232no—
233C2×C4×C73—22no—
234C2×C4×C73—22no—
235C2×C4×C73—22no—
236C2×C4×C73—22no—
237C2×C4×C73—22no—
238C2×C4×C73—22no—
239C2×C4×C73—22no—
240C2×C4×C73—22no—
241C2×C4×C73—24no—
242C2×C4×C73—24no—
243C2×C4×C73—24no—
244C2×C4×C73—24no—
245C2×C4×C73—24no—
246C2×C4×C73—24no—
247C2×C4×C73—24no—
248C2×C4×C73—24no—
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—416no—
256C2×C4×C73—416no—
257C2×C4×C73—42no—
258C2×C4×C73—42no—
259C2×C4×C73—42no—
260C2×C4×C73—42no—
261C2×C4×C73C2×C22⋊C414yes—
262C2×C4×C73C2×C22⋊C414yes—
263C2×C4×C73C2×C22⋊C414yes—
264C2×C4×C73#11714yes—
265C2×Dic73—24no—
266C2×Dic73—24no—
267C2×Dic73—24no—
268C2×Dic73—24no—
269C2×Dic73—24no—
270C2×Dic73—24no—
271C2×Dic73—42no—
272C2×Dic73—42no—
273C2×Dic73—42no—
274C2×Dic73—42no—
275C2×Dic73—42no—
276C2×Dic73—42no—
277C2×Dic73—42no—
278C2×Dic73—42no—
279C2×Dic73—42no—
280C2×Dic73—42no—
281C2×Dic73—42no—
282C2×Dic73—42no—
283C2×Dic73—42no—
284C2×Dic73—42no—
285C2×Dic73—42no—
286C2×Dic73—42no—
287C2×Dic73—42no—
288C2×Dic73—42no—
289C2×Dic73—42no—
290C2×Dic73—42no—
291C2×Dic73—42no—
292C2×Dic73—42no—
293C22×C73—24no—
294C22×C73—24no—
295C22×C73—24no—
296C22×C73—24no—
297C22×C73—24no—
298C22×C73—28no—
299C22×C73—28no—
300C22×C73—28no—
301C22×C73—28no—
302C22×C73—24no—
303C22×C73#38718yescomplemented
304C22×C73C22×C22⋊C411yescharacteristic
305C22×C73C2×#11711yescharacteristic
306C22×C73C2×#11711yescharacteristic
307C22×C73C2×C4×D411yescharacteristic
308C22×C73C2×C4×Q811yescharacteristic
309C22×C73#51811yescharacteristic
310C22×C73#51911yescharacteristic
311C22×C73C2×C22⋊Q811yescharacteristic
312C22×C73C2×#12311yescharacteristic
313C22×C73#52512yes—
314C22×C73#52512yes—
315C22×C73C2×#12511yescharacteristic
316C22×C73C2×#12611yescharacteristic
317C22×C73#53912yes—
318C22×C73#53912yes—
319C22×C73D4212yes—
320C22×C73#54612yes—
321C22×C73#54712yes—
322C22×C73#54812yes—
323C22×C73D4×Q812yes—
324C22×C73#55212yes—
325C22×C73#55312yes—
326C22×C73#55412yes—
327C4×C73—24no—
328C4×C73—24no—
329C4×C73—24no—
330C4×C73—24no—
331C4×C73—42no—
332C4×C73—42no—
333Dic73—44no—
334Dic73—44no—
335Dic73—82no—
336Dic73—82no—
337#13882—731nomaximal, Sylow
338C2×C73—28no—
339C2×C73#228011yescharacteristic
340C2×C73C2×#38711yescharacteristic
341C2×C73#231311yescharacteristic
342C2×C73D4×C22⋊C411yescharacteristic
343C2×C73Q8×C22⋊C411yescharacteristic
344C2×C73#234411yescharacteristic
345C2×C73#234511yescharacteristic
346C2×C73#244312yes—
347C2×C73#244912yes—
348C2×C73#247312yes—
349C2×C73#248112yes—
350C23×C4⋊C4D7311yescharacteristic
351C2×#387—732no—
352C2×#380—731no—
353C2×C4×C22⋊C4—731no—
354#1445—732no—
355#1441—732no—
356#1436—732no—
357C22⋊#95—731no—
358C22⋊#95—731no—
359C22⋊#95—731no—
360C22⋊#95—731no—
361C73#1388211yescharacteristic, complemented, Sylow
362C24×C4C2×D7311yescharacteristic
363C24×C4C2×D7311yescharacteristic
364C24×C4C2×D7311yescharacteristic
365C22×C4⋊C4—28no—
366C22×C4⋊C4—732no—
367C22×C4⋊C4Dic7318yescomplemented
368C22×C4⋊C4C2×D7311yescharacteristic
369C22×C4⋊C4C2×D7311yescharacteristic
370C22×C4⋊C4C2×D7311yescharacteristic
371C22×C4⋊C4C2×D7311yescharacteristic
372C22×C22⋊C4—731no—
373C22×C22⋊C4—731no—
374C22×C22⋊C4—731no—
375C22×C22⋊C4—731no—
376C22×C42—732no—
377#387—1468no—
378#380—1464no—
379C4×C22⋊C4—1464no—
380C2×#95—732no—
381C2×#95—732no—
382C2×#95—732no—
383C2×#95—732no—
384C2×#95—732no—
385C2×#95—732no—
386C2×#95—732no—
387C2×#95—732no—
388C2×#95—732no—
389C2×#95—732no—
390C25C22×D7311yescharacteristic
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—24no—
400C23×C4—24no—
401C23×C4—42no—
402C23×C4—42no—
403C23×C4—732no—
404C23×C4—732no—
405C23×C4—732no—
406C23×C4—732no—
407C23×C4C2×Dic7314yes—
408C23×C4C2×Dic7314yes—
409C23×C4C2×Dic7314yes—
410C23×C4C22×D7311yescharacteristic
411C23×C4C22×D7311yescharacteristic
412C23×C4C22×D7311yescharacteristic
413C23×C4C22×D7311yescharacteristic
414C23×C4C22×D7311yescharacteristic
415C23×C4C22×D7311yescharacteristic
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—232no—
420C2×C4⋊C4—2922no—
421C2×C4⋊C4—1464no—
422C2×C4⋊C4—1464no—
423C2×C4⋊C4C2×Dic7314yes—
424C2×C4⋊C4C2×Dic7314yes—
425C2×C4⋊C4C2×Dic7314yes—
426C2×C4⋊C4C2×Dic7314yes—
427C2×C4⋊C4C22⋊D7318yes—
428C2×C22⋊C4—734no—
429C2×C22⋊C4—734no—
430C2×C22⋊C4—1462no—
431C2×C22⋊C4—1462no—
432C2×C22⋊C4—1462no—
433C2×C22⋊C4—1462no—
434C2×C22⋊C4—1462no—
435C2×C22⋊C4—1462no—
436C2×C22⋊C4—1462no—
437C2×C22⋊C4—1462no—
438C2×C22⋊C4—1462no—
439C2×C22⋊C4—1462no—
440C2×C42—2922no—
441C2×C42—1464no—
442C2×C42—1464no—
443#95—2922no—
444#95—2922no—
445#95—1464no—
446#95—1464no—
447#95—1464no—
448#95—1464no—
449#95—1464no—
450#95—1464no—
451#95—1464no—
452#95—1464no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24C22×Dic7312yes—
458C24D4×D7312yes—
459C24Q8×D7312yes—
460C24#1192402712yes—
461C24#1192402812yes—
462C24#1192402812yes—
463C24#1192402912yes—
464C24C23×D7311yescharacteristic
465C22×C4—216no—
466C22×C4—216no—
467C22×C4—28no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—28no—
493C22×C4—28no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—734no—
501C22×C4—734no—
502C22×C4—1462no—
503C22×C4—1462no—
504C22×C4—1462no—
505C22×C4—1462no—
506C22×C4—1462no—
507C22×C4—1462no—
508C22×C4—1462no—
509C22×C4—1462no—
510C22×C4—1462no—
511C22×C4—1462no—
512C22×C4—1462no—
513C22×C4—1462no—
514C22×C4—1462no—
515C22×C4—1462no—
516C22×C4—1462no—
517C22×C4—1462no—
518C22×C4—1462no—
519C22×C4—1462no—
520C22×C4—1462no—
521C22×C4—1462no—
522C22×C4—1462no—
523C22×C4—1462no—
524C22×C4—1462no—
525C22×C4—1462no—
526C22×C4—1462no—
527C22×C4—1462no—
528C22×C4C22×Dic7312yes—
529C22×C4C22×Dic7312yes—
530C22×C4C22×Dic7312yes—
531C22×C4C22×Dic7312yes—
532C22×C4C22×Dic7312yes—
533C22×C4C22×Dic7312yes—
534C22×C4C2×C22⋊D7314yes—
535C22×C4C2×C22⋊D7314yes—
536C22×C4C2×C22⋊D7314yes—
537C22×C4#1192402814yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—28no—
541C4⋊C4—2928no—
542C4⋊C4C22⋊Dic73116yescomplemented
543C22⋊C4—2924no—
544C22⋊C4—2924no—
545C22⋊C4—1468no—
546C22⋊C4—1468no—
547C42—2928no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—22no—
558C23—24no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—24no—
563C23—24no—
564C23#1455655014yes—
565C23D4×Dic7314yes—
566C23Q8×Dic7314yes—
567C23#1455656914yes—
568C23#1455657614yes—
569C23#1455658114yes—
570C23#1455658614yes—
571C23C23×Dic7311yescharacteristic
572C23C2×D4×D7311yescharacteristic
573C23C22×C22⋊D7312yes—
574C23C2×Q8×D7311yescharacteristic
575C23C2×#1192402711yescharacteristic
576C23C2×#1192402811yescharacteristic
577C23C2×#1192402811yescharacteristic
578C23C2×#1192402812yes—
579C23C2×#1192402911yescharacteristic
580C23#1455663612yes—
581C23#1455663912yes—
582C2×C4—232no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—416no—
606C2×C4—416no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—2922no—
612C2×C4—2922no—
613C2×C4—2922no—
614C2×C4—2922no—
615C2×C4—2922no—
616C2×C4—2922no—
617C2×C4—2922no—
618C2×C4—2922no—
619C2×C4—2922no—
620C2×C4—2922no—
621C2×C4—2922no—
622C2×C4—2922no—
623C2×C4—2922no—
624C2×C4—2922no—
625C2×C4—2922no—
626C2×C4—2922no—
627C2×C4—2922no—
628C2×C4—2922no—
629C2×C4—2922no—
630C2×C4—2922no—
631C2×C4—2922no—
632C2×C4—2922no—
633C2×C4—1464no—
634C2×C4—1464no—
635C2×C4—1464no—
636C2×C4—1464no—
637C2×C4—1464no—
638C2×C4—1464no—
639C2×C4C2×C22⋊Dic7314yes—
640C2×C4C2×C22⋊Dic7314yes—
641C2×C4C2×C22⋊Dic7314yes—
642C2×C4#1455655014yes—
643C22—24no—
644C22—24no—
645C22—28no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—28no—
651C22—28no—
652C22—28no—
653C22#1798847318yescomplemented
654C22C22×C22⋊Dic7311yescharacteristic
655C22C2×#1455655011yescharacteristic
656C22C2×#1455655011yescharacteristic
657C22C2×D4×Dic7311yescharacteristic
658C22C2×Q8×Dic7311yescharacteristic
659C22#1798906211yescharacteristic
660C22#1798906511yescharacteristic
661C22C2×#1455656911yescharacteristic
662C22C2×#1455657611yescharacteristic
663C22#1798909812yes—
664C22#1798909812yes—
665C22C2×#1455658111yescharacteristic
666C22C2×#1455658611yescharacteristic
667C22#1798918412yes—
668C22#1798918412yes—
669C22D4×C22⋊D7312yes—
670C22#1798923112yes—
671C22#1798923812yes—
672C22#1798924812yes—
673C22Q8×C22⋊D7312yes—
674C22#1798927212yes—
675C22#1798928512yes—
676C22#1798929212yes—
677C4—24no—
678C4—24no—
679C4—24no—
680C4—24no—
681C4—42no—
682C4—42no—
683C4—2924no—
684C4—2924no—
685C4—5842no—
686C4—5842no—
687C2—28no—
688C2#2261231411yescharacteristic
689C2C2×#1798847311yescharacteristic
690C2#2261253411yescharacteristic
691C2D4×C22⋊Dic7311yescharacteristic
692C2Q8×C22⋊Dic7311yescharacteristic
693C2#2261280011yescharacteristic
694C2#2261280811yescharacteristic
695C2#2261366612yes—
696C2#2261374012yes—
697C2#2261406612yes—
698C2#2261418612yes—
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC23×C4⋊C4×C73C2
socle, cosocleC24×C73C24
prime radicalC25×C73C23
hypercenterC23×C4⋊C4D73
hypocenterC73#13882
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#17988473C2semidirect
4. #22608199C2semidirect
5. #22608184C2semidirect
6. #22608163C2semidirect
35. C22×C4⋊C4×C73C4semidirect
197. C4⋊C4×C73C22⋊C4semidirect
303. C22×C73#387semidirect
361. C73#13882semidirect
367. C22×C4⋊C4Dic73semidirect
542. C4⋊C4C22⋊Dic73semidirect
653. C22#17988473semidirect

Maximal subgroups

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

subgroupindex
C2×#179884732
C2×#179884472
C2×C4×C22⋊Dic732
#226081992
#226081842
#226081632
#226081542
C23×C4⋊C4×C732
#1388273