Finite Group Databasebeta

← C4×#17989580 #34020109

Subgroups — C4×#17989580 #34020109

Order 18688.

1586 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989580C212yesmaximal
2C4×D73⋊M16C211yesmaximal, characteristic
3C4×#14556670C211yesmaximal, characteristic
4#22625703C214yesmaximal, complemented
5C4×#14556654C214yesmaximal, complemented
6#22625618C212yesmaximal
7C2×C4×Q8×D73C211yesmaximal, characteristic
8C2×D73⋊M16C2212yes—
9C2×#14556670C2212yes—
10#17989580C4116yesdirect product factor
11C2×#14556654C2218yes—
12C4×#11924038—21no—
13C4×#11924038—21no—
14C4×#11924037—21no—
15C4×#11924037—21no—
16#17989546C2212yes—
17C4×#11924036C2212yes—
18C4×C4⋊#64408C2212yes—
19C4×C4⋊#64408C2212yes—
20C4×C22⋊#64408—21no—
21C4×C22⋊#64408—21no—
22#17989523—21no—
23C42×#64408—21no—
24#17989460C2218yes—
25C22×Q8×D73C2211yescharacteristic
26C2×Q8×Dic73C411yescharacteristic, complemented
27C2×C4×Dic146—21no—
28C2×C4×Dic146C411yescharacteristic, complemented
29C2×#14556556—21no—
30C2×#14556556C411yescharacteristic, complemented
31C4×Q8×D73—21no—
32C4×Q8×D73—21no—
33C4×Q8×D73—21no—
34C4×Q8×D73—21no—
35C4×Q8×D73C412yescomplemented
36C4×Q8×D73C412yescomplemented
37C4×Q8×D73C2212yes—
38C4×Q8×D73C2212yes—
39C2×C4⋊C4×D73—21no—
40C2×C4⋊C4×D73C2211yescharacteristic
41C2×C42×D73—21no—
42C2×C42×D73C2211yescharacteristic
43C2×C4×Q8×C73C411yescharacteristic, complemented
44C2×#11924038—22no—
45D73⋊M16—24no—
46D73⋊M16C2×C418yes—
47C2×#11924037—22no—
48C2×#11924036C2314yes—
49#14556670—24no—
50#14556670C2×C418yes—
51C2×C4⋊#64408C2314yes—
52C2×C22⋊#64408—22no—
53C2×C4×#64408—22no—
54C2×C4×#64408—22no—
55C2×C4×#64408—22no—
56#14556654C2×C4132yescomplemented
57#14556646—22no—
58#14556646—22no—
59C4×#10596833—22no—
60C4×#10596833—22no—
61(C2×#64408)⋊C4—22no—
62(C2×#64408)⋊C4—22no—
63C22×Dic146—21no—
64C22×Dic146C2×C411yescharacteristic
65C2×Q8×D73—21no—
66C2×Q8×D73—21no—
67C2×Q8×D73—24no—
68C2×Q8×D73C2×C418yes—
69C2×Q8×D73C2×C412yes—
70C2×Q8×D73C2312yes—
71C22×C4×D73—21no—
72C22×C4×D73—21no—
73C22×C4×D73D411yescharacteristic
74C22×C4×D73D411yescharacteristic
75C22×C4×D73C2311yescharacteristic
76Q8×Dic73—21no—
77Q8×Dic73—21no—
78Q8×Dic73C2×C412yes—
79Q8×Dic73C2×C412yes—
80C4×Dic146—22no—
81C4×Dic146—22no—
82C4×Dic146—22no—
83C4×Dic146—22no—
84C4×Dic146—21no—
85C4×Dic146—21no—
86C4×Dic146C2×C412yes—
87C4×Dic146C2×C412yes—
88#14556556—21no—
89#14556556—21no—
90#14556556—22no—
91#14556556—22no—
92#14556556—22no—
93#14556556—22no—
94#14556556C2×C412yes—
95#14556556C2×C412yes—
96C2×C4⋊Dic73—21no—
97C2×C4⋊Dic73C2×C411yescharacteristic
98C2×#11924007—21no—
99C2×#11924007—21no—
100C2×#11924007—21no—
101C4⋊C4×D73—22no—
102C4⋊C4×D73—22no—
103C4⋊C4×D73—22no—
104C4⋊C4×D73—22no—
105C4⋊C4×D73—21no—
106C4⋊C4×D73—21no—
107C4⋊C4×D73C2×C412yes—
108C4⋊C4×D73C2312yes—
109C2×C4×Dic73—21no—
110C2×C4×Dic73—21no—
111C2×C4×Dic73—21no—
112C2×C4×Dic73C2×C411yescharacteristic
113C2×C4×Dic73D411yescharacteristic
114C2×C4×Dic73D411yescharacteristic
115C42×D73—22no—
116C42×D73—22no—
117C42×D73—22no—
118C42×D73—22no—
119C42×D73C2×C411yescharacteristic
120C42×D73C2×C411yescharacteristic
121C42×D73D411yescharacteristic
122C42×D73D411yescharacteristic
123C42×D73D411yescharacteristic
124C42×D73D411yescharacteristic
125C42×D73C2311yescharacteristic
126C42×D73C2311yescharacteristic
127C22×Q8×C73C2×C411yescharacteristic
128C4×Q8×C73—21no—
129C4×Q8×C73—21no—
130C4×Q8×C73C2×C412yes—
131C4×Q8×C73C2×C412yes—
132C2×C4⋊C4×C73—21no—
133C2×C4⋊C4×C73C2×C411yescharacteristic
134C2×C42×C73—21no—
135C2×C42×C73C2×C411yescharacteristic
136C22×#64408—24no—
137#11924038—28no—
138#11924037—28no—
139#11924036—24no—
140#11924036C22×C418yes—
141C2×#10596833—24no—
142C4⋊#64408—24no—
143C4⋊#64408C22×C418yes—
144C22⋊#64408—28no—
145C4×#64408—28no—
146C4×#64408—44no—
147C4×#64408—44no—
148C23×D73C2×D411yescharacteristic
149C2×Dic146—21no—
150C2×Dic146—22no—
151C2×Dic146—22no—
152C2×Dic146—28no—
153C2×Dic146—22no—
154C2×Dic146C4214yescomplemented
155C2×Dic146C22×C412yes—
156Q8×D73—24no—
157Q8×D73—28no—
158Q8×D73—28no—
159Q8×D73—24no—
160Q8×D73C4218yescomplemented
161Q8×D73C22×C418yes—
162C22×Dic73—21no—
163C22×Dic73—21no—
164C22×Dic73C22⋊C411yescharacteristic
165C22×Dic73C22⋊C411yescharacteristic
166C22×Dic73C2×D411yescharacteristic
167C2×C4×D73—22no—
168C2×C4×D73—28no—
169C2×C4×D73—22no—
170C2×C4×D73—24no—
171C2×C4×D73—22no—
172C2×C4×D73—22no—
173C2×C4×D73—42no—
174C2×C4×D73—44no—
175C2×C4×D73C22⋊C411yescharacteristic
176C2×C4×D73C22⋊C411yescharacteristic
177C2×C4×D73C22⋊C411yescharacteristic
178C2×C4×D73C22⋊C411yescharacteristic
179C2×C4×D73C22×C411yescharacteristic
180C2×C4×D73C22×C414yes—
181C2×C4×D73C2×D411yescharacteristic
182C2×C4×D73C2×D411yescharacteristic
183C2×C4×D73C2×D411yescharacteristic
184C2×C4×D73C2×D411yescharacteristic
185C2×C4×D73C2×D411yescharacteristic
186C2×C4×D73C2×D411yescharacteristic
187C2×C4×D73#4114yes—
188C2×C4×D73C2411yescharacteristic
189C4⋊Dic73—21no—
190C4⋊Dic73—22no—
191C4⋊Dic73—22no—
192C4⋊Dic73C22×C412yes—
193#11924007—22no—
194#11924007—22no—
195#11924007—22no—
196#11924007—22no—
197#11924007—22no—
198#11924007—22no—
199C4×Dic73—22no—
200C4×Dic73—22no—
201C4×Dic73—22no—
202C4×Dic73—22no—
203C4×Dic73—22no—
204C4×Dic73—22no—
205C4×Dic73C22⋊C411yescharacteristic
206C4×Dic73C22⋊C411yescharacteristic
207C4×Dic73C22⋊C411yescharacteristic
208C4×Dic73C22⋊C411yescharacteristic
209C4×Dic73C22⋊C411yescharacteristic
210C4×Dic73C22⋊C411yescharacteristic
211C4×Dic73C22×C411yescharacteristic
212C4×Dic73C22×C411yescharacteristic
213C4×Dic73C2×D411yescharacteristic
214C4×Dic73C2×D411yescharacteristic
215C4×Dic73C2×D411yescharacteristic
216C4×Dic73C2×D411yescharacteristic
217C2×Q8×C73—21no—
218C2×Q8×C73—22no—
219C2×Q8×C73C4214yescomplemented
220C2×Q8×C73C22×C412yes—
221C22×C4×C73—21no—
222C22×C4×C73—21no—
223C22×C4×C73C22⋊C411yescharacteristic
224C22×C4×C73C22⋊C411yescharacteristic
225C22×C4×C73C22×C411yescharacteristic
226C4⋊C4×C73—22no—
227C4⋊C4×C73—22no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73C22×C412yes—
230C42×C73—22no—
231C42×C73—22no—
232C42×C73C22⋊C411yescharacteristic
233C42×C73C22⋊C411yescharacteristic
234C42×C73C22×C411yescharacteristic
235C42×C73C22×C411yescharacteristic
236C23×C73C2×C22⋊C411yescharacteristic
237C22×D73—22no—
238C22×D73—22no—
239C22×D73C2×C22⋊C411yescharacteristic
240C22×D73C4×D414yes—
241C22×D73C22×D411yescharacteristic
242C2×#64408—28no—
243C2×#64408—44no—
244C2×#64408—44no—
245Q8×C73—22no—
246Q8×C73—24no—
247Q8×C73C2×C4214yes—
248C2×C4×C73—22no—
249C2×C4×C73—24no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—41no—
253C2×C4×C73—42no—
254C2×C4×C73C2×C4212yes—
255C2×C4×C73C2×C22⋊C411yescharacteristic
256C2×C4×C73C2×C22⋊C411yescharacteristic
257C2×C4×C73C2×C22⋊C411yescharacteristic
258C2×C4×C73C2×C22⋊C411yescharacteristic
259C2×C4×C73C2×C22⋊C411yescharacteristic
260C2×C4×C73#11712yes—
261C2×C4×C73C23×C411yescharacteristic
262C2×Dic73—22no—
263C2×Dic73—24no—
264C2×Dic73—22no—
265C2×Dic73—22no—
266C2×Dic73—41no—
267C2×Dic73—42no—
268C2×Dic73C2×C22⋊C411yescharacteristic
269C2×Dic73C2×C22⋊C411yescharacteristic
270C2×Dic73C2×C22⋊C411yescharacteristic
271C2×Dic73C2×C22⋊C411yescharacteristic
272C2×Dic73C2×C22⋊C411yescharacteristic
273C2×Dic73C4×D414yes—
274C2×Dic73C22×D411yescharacteristic
275C4×D73—28no—
276C4×D73—22no—
277C4×D73—22no—
278C4×D73—22no—
279C4×D73—28no—
280C4×D73—22no—
281C4×D73—22no—
282C4×D73—41no—
283C4×D73—41no—
284C4×D73—44no—
285C4×D73—44no—
286C4×D73C2×C4212yes—
287C4×D73#11712yes—
288C4×D73C4×D414yes—
289C4×D73C4×D414yes—
290C4×D73#13714yes—
291C4×D73C23×C412yes—
292C4×D73C2×#4112yes—
293Dic146—22no—
294Dic146—24no—
295Dic146—28no—
296Dic146—28no—
297Dic146C2×C4214yes—
298#10596833—28no—
299C22×C73—21no—
300C22×C73—21no—
301C22×C73C4×C22⋊C412yes—
302C22×C73C22×C22⋊C411yescharacteristic
303C2×D73—21no—
304C2×D73—21no—
305C2×D73—28no—
306C2×D73C4×C22⋊C412yes—
307C2×D73C2×C4×D412yes—
308C2×D73C2×#13712yes—
309C2×D73#57512yes—
310#64408—48no—
311C4×C73—21no—
312C4×C73—21no—
313C4×C73—21no—
314C4×C73—24no—
315C4×C73—42no—
316C4×C73C4×C22⋊C412yes—
317C4×C73#41912yescomplemented
318C4×C73C22×C4211yescharacteristic
319C4×C73C2×#11711yescharacteristic
320Dic73—21no—
321Dic73—21no—
322Dic73—21no—
323Dic73—24no—
324Dic73—42no—
325Dic73C4×C22⋊C412yes—
326Dic73#41912yescomplemented
327Dic73C2×C4×D412yes—
328C4×#419—731nomaximal, Sylow
329C2×C73—22no—
330C2×C73C2×C4×C22⋊C411yescharacteristic
331C2×C73C2×#41911yescharacteristic
332C2×C73#289611yescharacteristic
333D73—22no—
334D73C4×#13714yes—
335C22×C4×Q8—731no—
336C2×#419—732no—
337C2×C4×M16—731no—
338C4×#117—731no—
339#1763—734no—
340C4×#103—734no—
341#1736—732no—
342C73C4×#41911yescharacteristic, complemented, Sylow
343C23×Q8—731no—
344C22×M16—732no—
345C2×C4×Q8—731no—
346C2×C4×Q8—732no—
347C2×C4×Q8—732no—
348C2×C4×Q8—732no—
349C2×C4×Q8—732no—
350C2×C4×Q8—731no—
351C2×C4×Q8—731no—
352C2×C4×Q8—1461no—
353C2×C4×Q8—1461no—
354C2×C4×Q8—1461no—
355C2×C4×Q8—1461no—
356C2×C4×Q8—1461no—
357C2×C4×Q8—1461no—
358C2×C4×Q8#6440811yescharacteristic, complemented
359C2×#117—732no—
360C22×C4⋊C4—731no—
361C22×C4⋊C4—1461no—
362C22×C42—731no—
363C22×C42—1461no—
364#419—7316no—
365C2×#103—738no—
366C4×M16—1461no—
367C4×M16—1461no—
368C4×M16—1461no—
369C4×M16—1461no—
370C2×#97—732no—
371C2×C4×C8—732no—
372C4×C4⋊C4—732no—
373C4×C4⋊C4—732no—
374C4×C22⋊C4—1461no—
375C4×C22⋊C4—1461no—
376#376—1461no—
377C43—1461no—
378#340—738no—
379C22×Q8—738no—
380C22×Q8—732no—
381C22×Q8—732no—
382C22×Q8—731no—
383C22×Q8—1461no—
384C22×Q8—1461no—
385C22×Q8—1461no—
386C22×Q8—1464no—
387C22×Q8C2×#6440811yescharacteristic
388C23×C4—731no—
389C23×C4—731no—
390C23×C4—731no—
391C23×C4—1461no—
392C23×C4—1461no—
393C2×M16—738no—
394C2×M16—1462no—
395C2×M16—1464no—
396C2×M16—1462no—
397C22×C8—734no—
398C4×Q8—21no—
399C4×Q8—21no—
400C4×Q8—732no—
401C4×Q8—732no—
402C4×Q8—732no—
403C4×Q8—732no—
404C4×Q8—732no—
405C4×Q8—732no—
406C4×Q8—1462no—
407C4×Q8—1462no—
408C4×Q8—1462no—
409C4×Q8—1462no—
410C4×Q8—1462no—
411C4×Q8—1462no—
412C4×Q8—1461no—
413C4×Q8—1461no—
414C4×Q8—1462no—
415C4×Q8—1462no—
416C4×Q8—1461no—
417C4×Q8—1461no—
418C4×Q8—1461no—
419C4×Q8—1461no—
420C4×Q8C2×#6440812yes—
421C4×Q8C2×#6440812yes—
422#117—738no—
423#117—1464no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—734no—
426C2×C4⋊C4—731no—
427C2×C4⋊C4—732no—
428C2×C4⋊C4—732no—
429C2×C4⋊C4—1461no—
430C2×C4⋊C4—1461no—
431C2×C4⋊C4—1462no—
432C2×C4⋊C4—1462no—
433C2×C4⋊C4—1462no—
434C2×C4⋊C4—1462no—
435C2×C4⋊C4—1461no—
436C2×C4⋊C4—1461no—
437C2×C4⋊C4—1461no—
438C2×C4⋊C4—1461no—
439C2×C4⋊C4C2×#6440811yescharacteristic
440C2×C22⋊C4—1462no—
441C2×C42—21no—
442C2×C42—731no—
443C2×C42—731no—
444C2×C42—731no—
445C2×C42—731no—
446C2×C42—731no—
447C2×C42—731no—
448C2×C42—731no—
449C2×C42—731no—
450C2×C42—731no—
451C2×C42—731no—
452C2×C42—731no—
453C2×C42—1462no—
454C2×C42—1462no—
455C2×C42—1462no—
456C2×C42—1462no—
457C2×C42—1462no—
458C2×C42—1462no—
459C2×C42—1461no—
460C2×C42—1461no—
461C2×C42—1462no—
462C2×C42—1461no—
463C2×C42C2×#6440811yescharacteristic
464#103—7332no—
465#97—1462no—
466#97—1462no—
467C4×C8—1462no—
468C4×C8—1462no—
469#95—1462no—
470#95—1462no—
471C24—731no—
472C2×Q8—21no—
473C2×Q8—22no—
474C2×Q8—738no—
475C2×Q8—738no—
476C2×Q8—732no—
477C2×Q8—734no—
478C2×Q8—1462no—
479C2×Q8—1462no—
480C2×Q8—1468no—
481C2×Q8—1464no—
482C2×Q8—1464no—
483C2×Q8—1468no—
484C2×Q8—1468no—
485C2×Q8—1461no—
486C2×Q8—1462no—
487C2×Q8C4×#6440814yescomplemented
488C2×Q8C22×#6440812yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—2924no—
492C22×C4—2922no—
493C22×C4—731no—
494C22×C4—731no—
495C22×C4—731no—
496C22×C4—731no—
497C22×C4—731no—
498C22×C4—731no—
499C22×C4—734no—
500C22×C4—731no—
501C22×C4—731no—
502C22×C4—731no—
503C22×C4—734no—
504C22×C4—731no—
505C22×C4—731no—
506C22×C4—731no—
507C22×C4—731no—
508C22×C4—731no—
509C22×C4—731no—
510C22×C4—1462no—
511C22×C4—1462no—
512C22×C4—1464no—
513C22×C4—1462no—
514C22×C4—1462no—
515C22×C4—1468no—
516C22×C4—1464no—
517C22×C4—1461no—
518C22×C4—1461no—
519C22×C4C22⋊#6440811yescharacteristic
520C22×C4C22⋊#6440811yescharacteristic
521C22×C4C22×#6440811yescharacteristic
522M16—1468no—
523M16—1468no—
524C2×C8—738no—
525C2×C8—1464no—
526C2×C8—1464no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—738no—
531C4⋊C4—732no—
532C4⋊C4—1462no—
533C4⋊C4—1462no—
534C4⋊C4—1462no—
535C4⋊C4—1462no—
536C4⋊C4—1462no—
537C4⋊C4—1462no—
538C4⋊C4—1464no—
539C4⋊C4—1462no—
540C4⋊C4—1462no—
541C4⋊C4—1461no—
542C4⋊C4C22×#6440812yes—
543C22⋊C4—1468no—
544C42—22no—
545C42—22no—
546C42—2924no—
547C42—2924no—
548C42—731no—
549C42—731no—
550C42—731no—
551C42—731no—
552C42—731no—
553C42—731no—
554C42—731no—
555C42—731no—
556C42—731no—
557C42—731no—
558C42—731no—
559C42—731no—
560C42—1462no—
561C42—1462no—
562C42—1462no—
563C42—1462no—
564C42—1468no—
565C42—1462no—
566C42—1462no—
567C42C22⋊#6440811yescharacteristic
568C42C22⋊#6440811yescharacteristic
569C42C22×#6440811yescharacteristic
570C42C22×#6440811yescharacteristic
571C23—731no—
572C23—731no—
573C23—734no—
574C23—1462no—
575C23—1462no—
576C23C2×C22⋊#6440811yescharacteristic
577Q8—22no—
578Q8—24no—
579Q8—734no—
580Q8—1468no—
581Q8—1468no—
582Q8—1462no—
583Q8—1464no—
584Q8C2×C4×#6440814yes—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—42no—
591C2×C4—2921no—
592C2×C4—2921no—
593C2×C4—2924no—
594C2×C4—2924no—
595C2×C4—2922no—
596C2×C4—2924no—
597C2×C4—2924no—
598C2×C4—2921no—
599C2×C4—731no—
600C2×C4—731no—
601C2×C4—731no—
602C2×C4—734no—
603C2×C4—732no—
604C2×C4—732no—
605C2×C4—732no—
606C2×C4—732no—
607C2×C4—734no—
608C2×C4—734no—
609C2×C4—734no—
610C2×C4—731no—
611C2×C4—731no—
612C2×C4—731no—
613C2×C4—1462no—
614C2×C4—1462no—
615C2×C4—1462no—
616C2×C4—1462no—
617C2×C4—1468no—
618C2×C4—1468no—
619C2×C4—1468no—
620C2×C4—1462no—
621C2×C4—1462no—
622C2×C4—1462no—
623C2×C4—1464no—
624C2×C4—1462no—
625C2×C4C2×C4×#6440812yes—
626C2×C4C2×C22⋊#6440811yescharacteristic
627C2×C4C2×C22⋊#6440811yescharacteristic
628C2×C4C2×C22⋊#6440811yescharacteristic
629C2×C4C2×C22⋊#6440811yescharacteristic
630C2×C4C2×C22⋊#6440811yescharacteristic
631C2×C4#1455667012yes—
632C2×C4C23×#6440811yescharacteristic
633C8—1468no—
634C22—21no—
635C22—21no—
636C22—732no—
637C22—732no—
638C22—732no—
639C22—732no—
640C22—1468no—
641C22—1461no—
642C22—1461no—
643C22C4×C22⋊#6440812yes—
644C22C22×C22⋊#6440811yescharacteristic
645C4—24no—
646C4—21no—
647C4—21no—
648C4—21no—
649C4—42no—
650C4—2928no—
651C4—2922no—
652C4—732no—
653C4—732no—
654C4—732no—
655C4—1464no—
656C4—1461no—
657C4—1461no—
658C4—1461no—
659C4C4×C22⋊#6440812yes—
660C4#1798958012yesdirect product factor
661C4C22×C4×#6440811yescharacteristic
662C4C2×#1455667011yescharacteristic
663C2—22no—
664C2—734no—
665C2—1462no—
666C2C2×C4×C22⋊#6440811yescharacteristic
667C2C2×#1798958011yescharacteristic
668C2#2262655111yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#64408
commutatorC4×C73C22×C42
FrattiniC2×C4C23×#64408
FittingC2×C4×Q8×C73C4
socleC22×C73C22×C22⋊C4
prime radicalC23×D73C2×D4
cosocleC2×C4×D73C24
hypercenterC2×C4×Q8#64408
hypocenterC73C4×#419
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×Q8

Complements

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

NH ≅ G/Ntype
4. #22625703C2semidirect
5. C4×#14556654C2semidirect
10. #17989580C4direct (N × H)
26. C2×Q8×Dic73C4semidirect
28. C2×C4×Dic146C4semidirect
30. C2×#14556556C4semidirect
35. C4×Q8×D73C4semidirect
36. C4×Q8×D73C4semidirect
43. C2×C4×Q8×C73C4semidirect
56. #14556654C2×C4semidirect
154. C2×Dic146C42semidirect
160. Q8×D73C42semidirect
219. C2×Q8×C73C42semidirect
317. C4×C73#419semidirect
326. Dic73#419semidirect
342. C73C4×#419semidirect
358. C2×C4×Q8#64408semidirect
487. C2×Q8C4×#64408semidirect
660. C4#17989580direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179895802
C4×D73⋊M162
C4×#145566702
#226257032
C4×#145566542
#226256182
C2×C4×Q8×D732
C4×#41973