Finite Group Databasebeta

← C4×#17989256 #33245835

Subgroups — C4×#17989256 #33245835

Order 18688.

3420 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989256C211yesmaximal, characteristic
2C2×C4×#11924029C211yesmaximal, characteristic, complemented
3#22612993C213yesmaximal, complemented
4#22612969C213yesmaximal, complemented
5#22612965C213yesmaximal, complemented
6#22612881C213yesmaximal, complemented
7Q8×#11924007C211yesmaximal, characteristic, complemented
8#22612772C211yesmaximal, characteristic, complemented
9#22612769C211yesmaximal, characteristic, complemented
10C4×#14556587C213yesmaximal, complemented
11C4×#14556565C213yesmaximal, complemented
12C4×#14556562C213yesmaximal, complemented
13C4×Q8×Dic73C211yesmaximal, characteristic, complemented
14C42×C22⋊D73C213yesmaximal, complemented
15C2×C4×#41×C73C211yesmaximal, characteristic, complemented
16C22×#11924029C2211yescharacteristic
17#17989256C4116yesdirect product factor
18C2×#14556587C2213yes—
19C2×#14556565C2213yes—
20C2×#14556562C2213yes—
21C4×#11924029—28no—
22C2×Q8×Dic73C2211yescharacteristic
23C2×Q8×Dic73C2211yescharacteristic
24C2×Q8×Dic73C2211yescharacteristic
25C2×C4×D292C2213yes—
26C2×#14556553C2213yes—
27C2×C4×C22⋊D73C2213yes—
28C2×C4×C22⋊D73C2213yes—
29C2×C4×C22⋊D73C2216yes—
30C2×C4×C22⋊D73C2213yes—
31C2×#14556549C2213yes—
32C2×C42×D73C2213yes—
33#17988490C2213yes—
34#17988490C2213yes—
35#17988489C2213yes—
36#17988488C2213yes—
37#17988487C2216yes—
38#17988487C2216yes—
39#17988485C2213yes—
40#17988483C2213yes—
41#17988478C2216yes—
42#17988475C2216yes—
43#17988466C2216yes—
44#17988463C2216yes—
45#17988456C2213yes—
46#17988447C2213yes—
47#17988444C2213yes—
48C4⋊C4×Dic73C2213yes—
49C4⋊C4×Dic73C2213yes—
50C4×#11924007C2213yes—
51C4×#11924007C2211yescharacteristic
52C4×#11924007C2213yes—
53C4×C4⋊Dic73C2213yes—
54C4×#11924005C2213yes—
55C4×#11924005C2213yes—
56C4×#11924005C2213yes—
57C4×C22⋊Dic73C2213yes—
58C4×C22⋊Dic73C2213yes—
59C4×C22⋊Dic73C2213yes—
60C42×Dic73C2213yes—
61C22×#41×C73C2211yescharacteristic
62C4×#41×C73—28no—
63C2×C4×Q8×C73C2211yescharacteristic
64C2×C4×Q8×C73C2211yescharacteristic
65C2×C4×D4×C73C2213yes—
66C2×C4×D4×C73C2213yes—
67C2×#117×C73C2213yes—
68C22×C42×C73C2213yes—
69C2×#11924029—24no—
70C2×#11924029—24no—
71C2×#11924029C2×C418yescomplemented
72C22×D292C2313yes—
73C22×C22⋊D73C2313yes—
74C22×C22⋊D73C2316yes—
75C22×C4×D73C2313yes—
76C22×C4×D73C2313yes—
77C22×C4×D73C2313yes—
78#14556587C2×C4124yescomplemented
79#14556565C2×C4124yescomplemented
80#14556562C2×C4124yescomplemented
81Q8×Dic73—24no—
82Q8×Dic73—24no—
83Q8×Dic73C2×C418yescomplemented
84C4×D292—212no—
85#14556553—212no—
86C4×C22⋊D73—212no—
87C4×C22⋊D73—212no—
88C4×C22⋊D73—412no—
89C4×C22⋊D73C2×C4124yescomplemented
90#14556549—212no—
91C2×C4⋊Dic73C2313yes—
92C2×C4⋊Dic73C2313yes—
93C2×C4⋊Dic73C2313yes—
94C2×#11924007C2313yes—
95C2×#11924007C2316yes—
96C2×#11924007C2311yescharacteristic
97C2×#11924007C2311yescharacteristic
98C2×C22⋊Dic73C2313yes—
99C2×C22⋊Dic73C2313yes—
100C2×C22⋊Dic73C2316yes—
101C2×C22⋊Dic73C2313yes—
102C2×#11924005C2313yes—
103C2×#11924005C2313yes—
104C2×#11924005C2316yes—
105C2×#11924005C2316yes—
106C2×#11924005C2313yes—
107C2×C4×Dic73C2313yes—
108C2×C4×Dic73C2313yes—
109C2×C4×Dic73C2313yes—
110C2×C4×Dic73C2311yescharacteristic
111C2×C4×Dic73C2313yes—
112C2×C4×Dic73C2313yes—
113C2×C4×Dic73C2313yes—
114C2×C4×Dic73C2313yes—
115C2×C4×Dic73C2311yescharacteristic
116C42×D73—212no—
117#14556498C2311yescharacteristic
118#14556498C2311yescharacteristic
119#14556498C2313yes—
120#14556498C2313yes—
121#14556498C2313yes—
122#14556498C2313yes—
123#14556498C2316yes—
124C2×#41×C73—24no—
125C2×#41×C73—24no—
126C2×#41×C73C2×C418yescomplemented
127C22×Q8×C73C2311yescharacteristic
128C22×D4×C73C2313yes—
129C23×C4×C73C2313yes—
130C23×C4×C73C2313yes—
131C23×C4×C73C2313yes—
132C4×Q8×C73—24no—
133C4×Q8×C73D418yescomplemented
134C4×D4×C73—212no—
135C4×D4×C73—212no—
136#117×C73—212no—
137C2×C4⋊C4×C73C2313yes—
138C2×C4⋊C4×C73C2313yes—
139C2×C22⋊C4×C73C2316yes—
140C2×C42×C73—212no—
141C2×C42×C73C2311yescharacteristic
142C2×C42×C73C2313yes—
143C2×C42×C73C2313yes—
144C2×C42×C73C2313yes—
145C23×D73C2413yes—
146#11924029—232no—
147C2×D292—26no—
148C2×D292—26no—
149C2×D292C22×C4112yes—
150C2×C22⋊D73—26no—
151C2×C22⋊D73—26no—
152C2×C22⋊D73—46no—
153C2×C22⋊D73—46no—
154C2×C22⋊D73C22×C4112yes—
155C2×C22⋊D73C22×C4124yes—
156C22×Dic73C2413yes—
157C22×Dic73C2413yes—
158C22×Dic73C2411yescharacteristic
159C22×Dic73C2413yes—
160C22×Dic73C2411yescharacteristic
161C22×Dic73C2411yescharacteristic
162C22×Dic73C2411yescharacteristic
163C2×C4×D73—26no—
164C2×C4×D73—26no—
165C2×C4×D73—26no—
166C2×C4×D73—26no—
167C2×C4×D73—26no—
168C2×C4×D73—26no—
169C2×C4×D73—26no—
170C2×C4×D73—43no—
171C2×C4×D73C22×C4112yes—
172C4⋊Dic73—26no—
173C4⋊Dic73—26no—
174C4⋊Dic73C22×C4112yes—
175#11924007—26no—
176#11924007—46no—
177#11924007C22×C414yes—
178#11924007#4114yescomplemented
179C22⋊Dic73—26no—
180C22⋊Dic73—26no—
181C22⋊Dic73—46no—
182C22⋊Dic73C22×C4112yes—
183#11924005—212no—
184#11924005—26no—
185#11924005—26no—
186#11924005—46no—
187#11924005C22×C4112yes—
188C4×Dic73—22no—
189C4×Dic73—26no—
190C4×Dic73—26no—
191C4×Dic73—26no—
192C4×Dic73—26no—
193C4×Dic73—26no—
194C4×Dic73—43no—
195C4×Dic73C22×C4112yes—
196C4×Dic73#4114yescomplemented
197C24×C73C2413yes—
198#41×C73—232no—
199C2×Q8×C73C22×C414yes—
200C2×Q8×C73C2×D414yes—
201C2×Q8×C73#4114yes—
202C2×D4×C73—26no—
203C2×D4×C73—26no—
204C2×D4×C73C22×C4112yes—
205C22×C4×C73—26no—
206C22×C4×C73—26no—
207C22×C4×C73—26no—
208C22×C4×C73—26no—
209C22×C4×C73—26no—
210C22×C4×C73—26no—
211C22×C4×C73—26no—
212C22×C4×C73—43no—
213C22×C4×C73C22×C4112yes—
214C22×C4×C73C2413yes—
215C22×C4×C73C2411yescharacteristic
216C22×C4×C73C2413yes—
217C22×C4×C73C2411yescharacteristic
218C22×C4×C73C2413yes—
219C22×C4×C73C2411yescharacteristic
220C4⋊C4×C73—26no—
221C4⋊C4×C73C2×D4112yes—
222C22⋊C4×C73—212no—
223C42×C73—22no—
224C42×C73—26no—
225C42×C73—26no—
226C42×C73C2×D4112yes—
227C23×C73—23no—
228C23×C73—23no—
229C23×C73—23no—
230C23×C73—23no—
231C23×C73—23no—
232C23×C73—23no—
233C23×C73C23×C416yes—
234C23×C73C2511yescharacteristic
235C22×D73—23no—
236C22×D73—23no—
237C22×D73—23no—
238C22×D73—23no—
239C22×D73—23no—
240C22×D73—23no—
241C22×D73C23×C416yes—
242Q8×C73C4×D4116yescomplemented
243D4×C73—224no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—23no—
248C2×C4×C73—21no—
249C2×C4×C73—23no—
250C2×C4×C73—224no—
251C2×C4×C73—23no—
252C2×C4×C73—23no—
253C2×C4×C73—23no—
254C2×C4×C73—412no—
255C2×C4×C73—412no—
256C2×C4×C73C23×C412yes—
257C2×C4×C73C23×C416yes—
258C2×C4×C73C22×D416yes—
259C2×C4×C73C22×D416yes—
260C2×C4×C73C22×D412yes—
261C2×C4×C73C2×#4112yes—
262C2×C4×C73C2×#4112yes—
263C2×C4×C73C2×#4116yes—
264C2×C4×C73H(5,𝔽2)12yes—
265C22⋊D73—224no—
266C22⋊D73—424no—
267C2×Dic73—21no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—23no—
272C2×Dic73—21no—
273C2×Dic73—23no—
274C2×Dic73—21no—
275C2×Dic73—23no—
276C2×Dic73—23no—
277C2×Dic73—23no—
278C2×Dic73—23no—
279C2×Dic73—23no—
280C2×Dic73—23no—
281C2×Dic73C23×C416yes—
282C2×Dic73C23×C412yes—
283C2×Dic73C23×C412yes—
284C2×Dic73C2×#4112yes—
285C2×Dic73C2×#4112yes—
286C2×Dic73C2×#4112yes—
287C2×Dic73C2×#4112yes—
288D292—224no—
289C4×D73—224no—
290C4×D73—412no—
291C4×D73—412no—
292C22×C73—26no—
293C22×C73—26no—
294C22×C73—26no—
295C22×C73—43no—
296C22×C73—43no—
297C22×C73—43no—
298C22×C73—43no—
299C22×C73C24×C411yescharacteristic
300C22×C73C23×D411yescharacteristic
301C22×C73C22×#4111yescharacteristic
302C22×C73C22×#4111yescharacteristic
303C22×C73C22×#4111yescharacteristic
304C22×C73C2×H(5,𝔽2)11yescharacteristic
305C22×C73#58511yescharacteristic
306C2×D73—26no—
307C2×D73—26no—
308C2×D73—26no—
309C2×D73—43no—
310C2×D73—43no—
311C2×D73—43no—
312C2×D73—43no—
313C4×C73—22no—
314C4×C73—26no—
315C4×C73—22no—
316C4×C73—43no—
317C4×C73C2×C4×D4112yes—
318C4×C73#55014yescomplemented
319Dic73—22no—
320Dic73—26no—
321Dic73—22no—
322Dic73—22no—
323Dic73—43no—
324Dic73—43no—
325Dic73C4×#4114yescomplemented
326C4×#550—731nomaximal, Sylow
327C2×C73—46no—
328C2×C73C22×C4×D411yescharacteristic
329C2×C73C2×C4×#4111yescharacteristic
330C2×C73C4×H(5,𝔽2)11yescharacteristic
331C2×C73C2×#55011yescharacteristic
332C2×C73D4×#4111yescharacteristic
333C2×C73#348011yescharacteristic
334C2×C73#348311yescharacteristic
335D73—46no—
336C2×#550—731no—
337C2×C4×#41—731no—
338C2×C4×#41D7311yescharacteristic, complemented
339#2366—733no—
340#2363—733no—
341#2363—733no—
342#2354—733no—
343Q8×C4⋊C4—731no—
344#2341—731no—
345#2341—731no—
346C4×#127—733no—
347C4×#121—733no—
348C4×#121—733no—
349C42×Q8—731no—
350C42×D4—733no—
351C73C4×#55011yescharacteristic, complemented, Sylow
352C22×#41—731no—
353C22×#41C2×D7311yescharacteristic
354#550—7316no—
355C2×#127—733no—
356C2×#121—733no—
357C2×#121—733no—
358C4×#41—28no—
359C4×#41—1468no—
360C2×C4×Q8—731no—
361C2×C4×Q8—731no—
362C2×C4×Q8—731no—
363C2×C4×Q8C2×D7311yescharacteristic
364C2×C4×Q8C2×D7311yescharacteristic
365C2×C4×D4—736no—
366C2×C4×D4—733no—
367C2×C4×D4—733no—
368C2×C4×D4—733no—
369C2×C4×D4—733no—
370C2×C4×D4—733no—
371C2×C4×D4C2×D7313yes—
372C2×C4×D4C2×D7313yes—
373C2×#117—733no—
374C2×#117C2×D7313yes—
375C22×C42—733no—
376C22×C42C2×D7313yes—
377#390—733no—
378#390—733no—
379#390—733no—
380#390—736no—
381#390—736no—
382#390—733no—
383#389—733no—
384#389—733no—
385#388—736no—
386#388—736no—
387#386—736no—
388#386—736no—
389#384—733no—
390#380—733no—
391#380—733no—
392C4×C4⋊C4—733no—
393C4×C4⋊C4—733no—
394C4×C4⋊C4—733no—
395C4×C4⋊C4—733no—
396C4×C4⋊C4—733no—
397C4×C4⋊C4—731no—
398C4×C22⋊C4—733no—
399C4×C22⋊C4—733no—
400C4×C22⋊C4—733no—
401C4×C22⋊C4—733no—
402C4×C22⋊C4—733no—
403C4×C22⋊C4—733no—
404C43—733no—
405C2×#41—24no—
406C2×#41—24no—
407C2×#41—738no—
408C2×#41—1464no—
409C2×#41—1464no—
410C2×#41C4×D7318yescomplemented
411C22×Q8C22×D7311yescharacteristic
412C22×D4—736no—
413C22×D4—733no—
414C22×D4—733no—
415C22×D4C22×D7313yes—
416C23×C4—733no—
417C23×C4—733no—
418C23×C4—733no—
419C23×C4C22×D7313yes—
420C23×C4C22×D7313yes—
421C23×C4C22×D7313yes—
422#127—7324no—
423#121—7324no—
424#121—7324no—
425C4×Q8—24no—
426C4×Q8—738no—
427C4×Q8—1464no—
428C4×Q8—1464no—
429C4×Q8C22⋊D7318yescomplemented
430C4×D4—212no—
431C4×D4—212no—
432C4×D4—29212no—
433C4×D4—7324no—
434C4×D4—14612no—
435C4×D4—14612no—
436C4×D4—14612no—
437C4×D4—14612no—
438#117—212no—
439#117—14612no—
440C2×C4⋊C4—736no—
441C2×C4⋊C4—731no—
442C2×C4⋊C4—731no—
443C2×C4⋊C4—733no—
444C2×C4⋊C4—733no—
445C2×C4⋊C4—733no—
446C2×C4⋊C4—733no—
447C2×C4⋊C4C22×D7313yes—
448C2×C4⋊C4C22×D7313yes—
449C2×C22⋊C4—736no—
450C2×C22⋊C4—736no—
451C2×C22⋊C4—733no—
452C2×C22⋊C4—733no—
453C2×C22⋊C4—733no—
454C2×C22⋊C4—733no—
455C2×C22⋊C4—736no—
456C2×C22⋊C4—733no—
457C2×C22⋊C4—733no—
458C2×C22⋊C4C22×D7316yes—
459C2×C42—212no—
460C2×C42—733no—
461C2×C42—733no—
462C2×C42—731no—
463C2×C42—733no—
464C2×C42—733no—
465C2×C42—733no—
466C2×C42—733no—
467C2×C42—733no—
468C2×C42—731no—
469C2×C42—14612no—
470C2×C42C22×D7313yes—
471C2×C42C22×D7313yes—
472C2×C42C22×D7311yescharacteristic
473C2×C42C22×D7313yes—
474#95—731no—
475#95—731no—
476#95—733no—
477#95—733no—
478#95—733no—
479#95—733no—
480#95—736no—
481C24—733no—
482C24C23×D7313yes—
483#41—232no—
484#41—14632no—
485C2×Q8C2×C4×D7314yes—
486C2×Q8C2×C22⋊D7314yes—
487C2×Q8#1192402814yes—
488C2×D4—26no—
489C2×D4—26no—
490C2×D4—2926no—
491C2×D4—2926no—
492C2×D4—7324no—
493C2×D4—7312no—
494C2×D4—7312no—
495C2×D4—1466no—
496C2×D4—1466no—
497C2×D4—1466no—
498C2×D4—1466no—
499C2×D4C2×C4×D73112yes—
500C22×C4—26no—
501C22×C4—26no—
502C22×C4—26no—
503C22×C4—26no—
504C22×C4—26no—
505C22×C4—26no—
506C22×C4—26no—
507C22×C4—43no—
508C22×C4—2923no—
509C22×C4—731no—
510C22×C4—731no—
511C22×C4—731no—
512C22×C4—733no—
513C22×C4—731no—
514C22×C4—7312no—
515C22×C4—733no—
516C22×C4—733no—
517C22×C4—1466no—
518C22×C4—1466no—
519C22×C4—1466no—
520C22×C4—1466no—
521C22×C4—1466no—
522C22×C4—1466no—
523C22×C4—1466no—
524C22×C4C2×C4×D73112yes—
525C22×C4C23×D7313yes—
526C22×C4C23×D7311yescharacteristic
527C22×C4C23×D7313yes—
528C22×C4C23×D7311yescharacteristic
529C22×C4C23×D7313yes—
530C22×C4C23×D7311yescharacteristic
531C4⋊C4—26no—
532C4⋊C4—2926no—
533C4⋊C4—734no—
534C4⋊C4—7312no—
535C4⋊C4—734no—
536C4⋊C4—1466no—
537C4⋊C4—1466no—
538C4⋊C4—1466no—
539C4⋊C4C2×C22⋊D73112yes—
540C22⋊C4—212no—
541C22⋊C4—2926no—
542C22⋊C4—2926no—
543C22⋊C4—7312no—
544C22⋊C4—7312no—
545C22⋊C4—1466no—
546C22⋊C4—1466no—
547C22⋊C4—1466no—
548C22⋊C4—14612no—
549C22⋊C4—1466no—
550C42—22no—
551C42—26no—
552C42—26no—
553C42—2923no—
554C42—7312no—
555C42—734no—
556C42—1466no—
557C42—1462no—
558C42—1466no—
559C42—1466no—
560C42—1466no—
561C42—1466no—
562C42C2×C22⋊D73112yes—
563C23—23no—
564C23—23no—
565C23—23no—
566C23—23no—
567C23—23no—
568C23—23no—
569C23—736no—
570C23—1463no—
571C23—1463no—
572C23—1463no—
573C23—1463no—
574C23—1463no—
575C23—1463no—
576C23C22×C4×D7316yes—
577C23C24×D7311yescharacteristic
578Q8C4×C22⋊D73116yescomplemented
579D4—224no—
580D4—29224no—
581D4—14624no—
582D4—14624no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—23no—
586C2×C4—21no—
587C2×C4—23no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—412no—
594C2×C4—412no—
595C2×C4—29212no—
596C2×C4—29212no—
597C2×C4—732no—
598C2×C4—732no—
599C2×C4—732no—
600C2×C4—736no—
601C2×C4—732no—
602C2×C4—732no—
603C2×C4—732no—
604C2×C4—1463no—
605C2×C4—1463no—
606C2×C4—1463no—
607C2×C4—1463no—
608C2×C4—1463no—
609C2×C4—1463no—
610C2×C4—1461no—
611C2×C4—1461no—
612C2×C4—1461no—
613C2×C4—1461no—
614C2×C4—1463no—
615C2×C4—1461no—
616C2×C4—1463no—
617C2×C4—1461no—
618C2×C4—14624no—
619C2×C4C22×C4×D7312yes—
620C2×C4C22×C4×D7316yes—
621C2×C4C22×C22⋊D7316yes—
622C2×C4C22×C22⋊D7312yes—
623C2×C4C22×C22⋊D7316yes—
624C2×C4#41×D7312yes—
625C2×C4#41×D7312yes—
626C2×C4C2×#1192402816yes—
627C2×C4#1455663712yes—
628C22—26no—
629C22—26no—
630C22—26no—
631C22—43no—
632C22—43no—
633C22—43no—
634C22—43no—
635C22—2923no—
636C22—2923no—
637C22—2923no—
638C22—2923no—
639C22—1466no—
640C22—1466no—
641C22—1466no—
642C22C23×C4×D7311yescharacteristic
643C22C23×C22⋊D7311yescharacteristic
644C22C2×#41×D7311yescharacteristic
645C22C2×#41×D7311yescharacteristic
646C22C22×#1192402811yescharacteristic
647C22C2×#1455663711yescharacteristic
648C22#1798942311yescharacteristic
649C4—22no—
650C4—22no—
651C4—26no—
652C4—43no—
653C4—2923no—
654C4—2923no—
655C4—734no—
656C4—1462no—
657C4—1462no—
658C4—1466no—
659C4—1462no—
660C4C2×C4×C22⋊D73112yes—
661C4#1798925614yesdirect product factor
662C2—46no—
663C2—2926no—
664C2C22×C4×C22⋊D7311yescharacteristic
665C2C4×#41×D7311yescharacteristic
666C2C4×#1455663711yescharacteristic
667C2C2×#1798925611yescharacteristic
668C2#41×C22⋊D7311yescharacteristic
669C2#2262352911yescharacteristic
670C2#2262355711yescharacteristic
subgroupG/H
centerC22×C4C23×D73
commutatorC22×C73C24×C4
FrattiniC23C24×D73
FittingC2×C4×#41×C73C2
socle, cosocleC23×C73C25
prime radicalC2×#17989256C2
hypercenterC2×C4×#41D73
hypocenterC73C4×#550
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11924029C2semidirect
3. #22612993C2semidirect
4. #22612969C2semidirect
5. #22612965C2semidirect
6. #22612881C2semidirect
7. Q8×#11924007C2semidirect
8. #22612772C2semidirect
9. #22612769C2semidirect
10. C4×#14556587C2semidirect
11. C4×#14556565C2semidirect
12. C4×#14556562C2semidirect
13. C4×Q8×Dic73C2semidirect
14. C42×C22⋊D73C2semidirect
15. C2×C4×#41×C73C2semidirect
17. #17989256C4direct (N × H)
71. C2×#11924029C2×C4semidirect
78. #14556587C2×C4semidirect
79. #14556565C2×C4semidirect
80. #14556562C2×C4semidirect
83. Q8×Dic73C2×C4semidirect
89. C4×C22⋊D73C2×C4semidirect
126. C2×#41×C73C2×C4semidirect
133. C4×Q8×C73D4semidirect
178. #11924007#41semidirect
196. C4×Dic73#41semidirect
242. Q8×C73C4×D4semidirect
318. C4×C73#550semidirect
325. Dic73C4×#41semidirect
338. C2×C4×#41D73semidirect
351. C73C4×#550semidirect
410. C2×#41C4×D73semidirect
429. C4×Q8C22⋊D73semidirect
578. Q8C4×C22⋊D73semidirect
661. C4#17989256direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892562
C2×C4×#119240292
#226129932
#226129692
#226129652
#226128812
Q8×#119240072
#226127722
#226127692
C4×#145565872
C4×#145565652
C4×#145565622
C4×Q8×Dic732
C42×C22⋊D732
C2×C4×#41×C732
C4×#55073