Finite Group Databasebeta

← C2×#22614688 #33255398

Subgroups — C2×#22614688 #33255398

Order 18688.

2074 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22614688C2116yesmaximal, direct product factor
2C2×#17988526C211yesmaximal, characteristic, complemented
3C2×#17988521C211yesmaximal, characteristic, complemented
4C2×#17988514C211yesmaximal, characteristic
5C2×#17988509C211yesmaximal, characteristic
6C2×#17988482C211yesmaximal, characteristic, complemented
7C2×#17988478C211yesmaximal, characteristic
8C2×#17988478C211yesmaximal, characteristic
9C2×#17988478C211yesmaximal, characteristic
10C2×#17988477C211yesmaximal, characteristic
11C2×#17988476C211yesmaximal, characteristic
12C2×#17988471C211yesmaximal, characteristic, complemented
13C2×#17988469C211yesmaximal, characteristic, complemented
14C2×#17988455C211yesmaximal, characteristic, complemented
15C2×C4×C4⋊Dic73C211yesmaximal, characteristic, complemented
16C2×C4×C4⋊C4×C73C211yesmaximal, characteristic, complemented
17C22×C4⋊Dic73C2211yescharacteristic
18C22×C4⋊Dic73C2211yescharacteristic
19C22×#11924007C2211yescharacteristic
20C22×#11924007C2211yescharacteristic
21C22×#11924007C2211yescharacteristic
22C22×#11924007C2211yescharacteristic
23C22×#11924007C2211yescharacteristic
24C22×#11924005C2211yescharacteristic
25C22×#11924005C2211yescharacteristic
26C22×#11924005C2211yescharacteristic
27C22×#11924005C2211yescharacteristic
28C22×#11924005C2211yescharacteristic
29C22×#11924005C2211yescharacteristic
30C22×#11924005C2211yescharacteristic
31C22×C4×Dic73C2211yescharacteristic
32C22×C4×Dic73C2211yescharacteristic
33#17988526C2218yescomplemented
34#17988521C2218yescomplemented
35#17988514C2218yes—
36#17988509C2218yes—
37#17988482C2218yescomplemented
38#17988478C2218yes—
39#17988478C2218yes—
40#17988478C2218yes—
41#17988477C2218yes—
42#17988476C2218yes—
43#17988471C2218yescomplemented
44#17988469C2218yescomplemented
45#17988455C2218yescomplemented
46C4×C4⋊Dic73C2218yescomplemented
47C2×#14556498C2211yescharacteristic
48C2×#14556498C2211yescharacteristic
49C2×#14556498C2211yescharacteristic
50C2×#14556498C2211yescharacteristic
51C2×#14556498C2211yescharacteristic
52C2×#14556498C2211yescharacteristic
53C2×#14556498C2211yescharacteristic
54C2×#14556498C2211yescharacteristic
55C2×#14556498C2211yescharacteristic
56C2×#14556498C2211yescharacteristic
57C2×#14556498C2211yescharacteristic
58C2×#14556498C2211yescharacteristic
59C22×C4⋊C4×C73C2211yescharacteristic
60C22×C4⋊C4×C73C2211yescharacteristic
61C22×C42×C73C2211yescharacteristic
62C22×C42×C73C2211yescharacteristic
63C22×C42×C73C2211yescharacteristic
64C4×C4⋊C4×C73C2218yescomplemented
65C2×#95×C73C2211yescharacteristic
66C2×#95×C73C2211yescharacteristic
67C24×D73C2311yescharacteristic
68C23×Dic73C2311yescharacteristic
69C23×Dic73C2311yescharacteristic
70C23×Dic73C2311yescharacteristic
71C23×Dic73C2311yescharacteristic
72C23×Dic73C2311yescharacteristic
73C23×Dic73C2311yescharacteristic
74C23×Dic73C2311yescharacteristic
75C2×C4⋊Dic73—24no—
76C2×C4⋊Dic73—24no—
77C2×C4⋊Dic73C2314yes—
78C2×C4⋊Dic73C2314yes—
79C2×#11924007—24no—
80C2×#11924007—24no—
81C2×#11924007—24no—
82C2×#11924007—42no—
83C2×#11924007—42no—
84C2×#11924007C2314yes—
85C2×#11924007C2314yes—
86C2×#11924007C2314yes—
87C2×#11924007C2314yes—
88C2×#11924007C2314yes—
89C2×#11924005—24no—
90C2×#11924005—24no—
91C2×#11924005—24no—
92C2×#11924005—24no—
93C2×#11924005—24no—
94C2×#11924005—42no—
95C2×#11924005—42no—
96C2×#11924005C2314yes—
97C2×#11924005C2314yes—
98C2×#11924005C2314yes—
99C2×#11924005C2314yes—
100C2×#11924005C2314yes—
101C2×#11924005C2314yes—
102C2×#11924005C2314yes—
103C2×C4×Dic73—42no—
104C2×C4×Dic73—42no—
105C2×C4×Dic73C2314yes—
106C2×C4×Dic73C2314yes—
107#14556498C2314yes—
108#14556498C2314yes—
109#14556498C2314yes—
110#14556498C2314yes—
111#14556498C2314yes—
112#14556498C2314yes—
113#14556498C2314yes—
114#14556498C2314yes—
115#14556498C2314yes—
116#14556498C2314yes—
117#14556498C2314yes—
118#14556498C2314yes—
119C23×C4×C73C2311yescharacteristic
120C23×C4×C73C2311yescharacteristic
121C23×C4×C73C2311yescharacteristic
122C23×C4×C73C2311yescharacteristic
123C23×C4×C73C2311yescharacteristic
124C23×C4×C73C2311yescharacteristic
125C23×C4×C73C2311yescharacteristic
126C2×C4⋊C4×C73—24no—
127C2×C4⋊C4×C73—24no—
128C2×C4⋊C4×C73C2314yes—
129C2×C4⋊C4×C73C2314yes—
130C2×C42×C73—24no—
131C2×C42×C73—24no—
132C2×C42×C73—24no—
133C2×C42×C73C2314yes—
134C2×C42×C73C2314yes—
135C2×C42×C73C2314yes—
136#95×C73C2314yes—
137#95×C73C2314yes—
138C23×D73—22no—
139C23×D73—22no—
140C23×D73—22no—
141C23×D73—22no—
142C23×D73—22no—
143C23×D73—22no—
144C23×D73—22no—
145C23×D73C2412yes—
146C22×Dic73—22no—
147C22×Dic73—22no—
148C22×Dic73—22no—
149C22×Dic73—22no—
150C22×Dic73—22no—
151C22×Dic73—22no—
152C22×Dic73—22no—
153C22×Dic73—22no—
154C22×Dic73—22no—
155C22×Dic73—22no—
156C22×Dic73—22no—
157C22×Dic73—22no—
158C22×Dic73—22no—
159C22×Dic73—22no—
160C22×Dic73—22no—
161C22×Dic73—22no—
162C22×Dic73—22no—
163C22×Dic73—22no—
164C22×Dic73—22no—
165C22×Dic73—22no—
166C22×Dic73#4114yes—
167C22×Dic73C2412yes—
168C22×Dic73C2412yes—
169C22×Dic73C2412yes—
170C22×Dic73C2412yes—
171C22×Dic73C2412yes—
172C22×Dic73C2412yes—
173C22×Dic73C2412yes—
174C4⋊Dic73—28no—
175C4⋊Dic73—28no—
176#11924007—28no—
177#11924007—28no—
178#11924007—28no—
179#11924007—44no—
180#11924007—44no—
181#11924005—28no—
182#11924005—28no—
183#11924005—28no—
184#11924005—28no—
185#11924005—28no—
186#11924005—44no—
187#11924005—44no—
188C4×Dic73—44no—
189C4×Dic73—44no—
190C24×C73C2411yescharacteristic
191C22×C4×C73—22no—
192C22×C4×C73—22no—
193C22×C4×C73—22no—
194C22×C4×C73—22no—
195C22×C4×C73—22no—
196C22×C4×C73—22no—
197C22×C4×C73—22no—
198C22×C4×C73—22no—
199C22×C4×C73—22no—
200C22×C4×C73—22no—
201C22×C4×C73—22no—
202C22×C4×C73—22no—
203C22×C4×C73—22no—
204C22×C4×C73—22no—
205C22×C4×C73—22no—
206C22×C4×C73—22no—
207C22×C4×C73—22no—
208C22×C4×C73#4114yes—
209C22×C4×C73#4114yes—
210C22×C4×C73#4114yes—
211C22×C4×C73#4114yes—
212C22×C4×C73C2412yes—
213C22×C4×C73C2412yes—
214C22×C4×C73C2412yes—
215C22×C4×C73C2412yes—
216C22×C4×C73C2412yes—
217C22×C4×C73C2412yes—
218C22×C4×C73C2412yes—
219C4⋊C4×C73—28no—
220C4⋊C4×C73—28no—
221C42×C73—28no—
222C42×C73—28no—
223C42×C73—28no—
224C23×C73C2×#4112yes—
225C23×C73C2×#4112yes—
226C23×C73C2×#4112yes—
227C23×C73C2×#4112yes—
228C23×C73C2×#4112yes—
229C23×C73H(5,𝔽2)12yes—
230C23×C732−1+412yes—
231C23×C73C2511yescharacteristic
232C22×D73—22no—
233C22×D73—22no—
234C22×D73—22no—
235C22×D73—22no—
236C22×D73—22no—
237C22×D73—22no—
238C22×D73—22no—
239C22×D73—44no—
240C22×D73—44no—
241C22×D73—44no—
242C22×D73—44no—
243C22×D73—44no—
244C22×D73—44no—
245C22×D73—44no—
246C2×C4×C73—28no—
247C2×C4×C73—28no—
248C2×C4×C73—28no—
249C2×C4×C73—28no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
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—22no—
262C2×C4×C73—22no—
263C2×C4×C73—22no—
264C2×C4×C73—22no—
265C2×C4×C73—22no—
266C2×C4×C73—22no—
267C2×C4×C73—44no—
268C2×C4×C73—44no—
269C2×C4×C73—44no—
270C2×C4×C73C2×#4114yes—
271C2×C4×C73C2×#4114yes—
272C2×C4×C73C2×#4114yes—
273C2×C4×C73C2×#4114yes—
274C2×Dic73—28no—
275C2×Dic73—22no—
276C2×Dic73—22no—
277C2×Dic73—22no—
278C2×Dic73—22no—
279C2×Dic73—22no—
280C2×Dic73—22no—
281C2×Dic73—22no—
282C2×Dic73—22no—
283C2×Dic73—22no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—22no—
288C2×Dic73—22no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—22no—
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—44no—
296C2×Dic73—44no—
297C2×Dic73—44no—
298C2×Dic73—44no—
299C2×Dic73—44no—
300C2×Dic73—44no—
301C2×Dic73C2×#4114yes—
302C22×C73#52914yes—
303C22×C73#52914yes—
304C22×C73#54214yes—
305C22×C73#55214yes—
306C22×C73#55314yes—
307C22×C73#55314yes—
308C22×C73#55614yes—
309C22×C73C22×#4111yescharacteristic
310C22×C73C22×#4111yescharacteristic
311C22×C73C22×#4111yescharacteristic
312C22×C73C22×#4111yescharacteristic
313C22×C73C22×#4111yescharacteristic
314C22×C73C2×H(5,𝔽2)11yescharacteristic
315C22×C73C2×2−1+411yescharacteristic
316C2×D73—42no—
317C2×D73—42no—
318C2×D73—42no—
319C2×D73—42no—
320C2×D73—42no—
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—88no—
324C4×C73—24no—
325C4×C73—24no—
326C4×C73—24no—
327C4×C73—24no—
328C4×C73—42no—
329C4×C73—42no—
330C4×C73—42no—
331Dic73—24no—
332Dic73—42no—
333Dic73—42no—
334Dic73—42no—
335Dic73—42no—
336Dic73—42no—
337Dic73—42no—
338C2×#2525—731nomaximal, Sylow
339C2×C73#252518yescomplemented
340C2×C73C2×#52911yescharacteristic
341C2×C73C2×#52911yescharacteristic
342C2×C73C2×#54211yescharacteristic
343C2×C73C2×#55211yescharacteristic
344C2×C73C2×#55311yescharacteristic
345C2×C73C2×#55311yescharacteristic
346C2×C73C2×#55611yescharacteristic
347D73—82no—
348#2525—7316no—
349C2×#400—731no—
350C2×#398—731no—
351C2×#397—731no—
352C2×#396—731no—
353C2×#389—731no—
354C2×#388—731no—
355C2×#388—731no—
356C2×#388—731no—
357C2×#388—731no—
358C2×#388—731no—
359C2×#387—731no—
360C2×#387—731no—
361C2×#383—731no—
362C2×C4×C4⋊C4—731no—
363C2×C4×C4⋊C4D7311yescharacteristic, complemented
364C73C2×#252511yescharacteristic, complemented, Sylow
365C22×C4⋊C4—731no—
366C22×C4⋊C4—731no—
367C22×C4⋊C4—731no—
368C22×C4⋊C4—731no—
369C22×C4⋊C4—731no—
370C22×C4⋊C4—731no—
371C22×C4⋊C4—731no—
372C22×C4⋊C4C2×D7311yescharacteristic
373C22×C4⋊C4C2×D7311yescharacteristic
374C22×C22⋊C4—731no—
375C22×C22⋊C4—731no—
376C22×C22⋊C4—731no—
377C22×C22⋊C4—731no—
378C22×C22⋊C4—731no—
379C22×C22⋊C4—731no—
380C22×C22⋊C4—731no—
381C22×C42—731no—
382C22×C42—731no—
383C22×C42C2×D7311yescharacteristic
384C22×C42C2×D7311yescharacteristic
385C22×C42C2×D7311yescharacteristic
386#400—738no—
387#398—738no—
388#397—738no—
389#396—738no—
390#389—738no—
391#388—738no—
392#388—738no—
393#388—738no—
394#388—738no—
395#388—738no—
396#387—738no—
397#387—738no—
398#383—738no—
399C4×C4⋊C4—738no—
400C4×C4⋊C4C2×D7318yescomplemented
401C2×#95—731no—
402C2×#95—731no—
403C2×#95—731no—
404C2×#95—731no—
405C2×#95—731no—
406C2×#95—731no—
407C2×#95—731no—
408C2×#95—731no—
409C2×#95—731no—
410C2×#95—731no—
411C2×#95—731no—
412C2×#95—731no—
413C2×#95C2×D7311yescharacteristic
414C2×#95C2×D7311yescharacteristic
415C25—731no—
416C23×C4—731no—
417C23×C4—731no—
418C23×C4—731no—
419C23×C4—731no—
420C23×C4—731no—
421C23×C4—731no—
422C23×C4—731no—
423C23×C4C22×D7311yescharacteristic
424C23×C4C22×D7311yescharacteristic
425C23×C4C22×D7311yescharacteristic
426C23×C4C22×D7311yescharacteristic
427C23×C4C22×D7311yescharacteristic
428C23×C4C22×D7311yescharacteristic
429C23×C4C22×D7311yescharacteristic
430C2×C4⋊C4—24no—
431C2×C4⋊C4—24no—
432C2×C4⋊C4—2922no—
433C2×C4⋊C4—2922no—
434C2×C4⋊C4—734no—
435C2×C4⋊C4—734no—
436C2×C4⋊C4—734no—
437C2×C4⋊C4—734no—
438C2×C4⋊C4—734no—
439C2×C4⋊C4—734no—
440C2×C4⋊C4—734no—
441C2×C4⋊C4—1464no—
442C2×C4⋊C4—1464no—
443C2×C4⋊C4—1464no—
444C2×C4⋊C4—1464no—
445C2×C4⋊C4—1464no—
446C2×C4⋊C4C22×D7314yes—
447C2×C4⋊C4C22×D7314yes—
448C2×C22⋊C4—2922no—
449C2×C22⋊C4—2922no—
450C2×C22⋊C4—734no—
451C2×C22⋊C4—734no—
452C2×C22⋊C4—734no—
453C2×C22⋊C4—734no—
454C2×C22⋊C4—734no—
455C2×C22⋊C4—734no—
456C2×C22⋊C4—734no—
457C2×C22⋊C4—1464no—
458C2×C22⋊C4—1464no—
459C2×C22⋊C4—1464no—
460C2×C22⋊C4—1464no—
461C2×C22⋊C4—1464no—
462C2×C42—24no—
463C2×C42—24no—
464C2×C42—24no—
465C2×C42—2922no—
466C2×C42—2922no—
467C2×C42—734no—
468C2×C42—734no—
469C2×C42C22×D7314yes—
470C2×C42C22×D7314yes—
471C2×C42C22×D7314yes—
472#95—734no—
473#95—734no—
474#95—734no—
475#95—734no—
476#95—734no—
477#95—734no—
478#95—734no—
479#95—734no—
480#95—734no—
481#95—734no—
482#95—734no—
483#95—734no—
484#95C22×D7314yes—
485#95C22×D7314yes—
486C24—732no—
487C24—1462no—
488C24—1462no—
489C24—1462no—
490C24—1462no—
491C24—1462no—
492C24—1462no—
493C24—1462no—
494C24C23×D7311yescharacteristic
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—734no—
513C22×C4—732no—
514C22×C4—732no—
515C22×C4—732no—
516C22×C4—732no—
517C22×C4—732no—
518C22×C4—732no—
519C22×C4—732no—
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×C4—1462no—
529C22×C4—1462no—
530C22×C4—1462no—
531C22×C4—1462no—
532C22×C4—1462no—
533C22×C4—1462no—
534C22×C4—1462no—
535C22×C4—1462no—
536C22×C4—1462no—
537C22×C4—1462no—
538C22×C4—1462no—
539C22×C4—1462no—
540C22×C4#1192402714yes—
541C22×C4#1192402814yes—
542C22×C4#1192402814yes—
543C22×C4#1192402814yes—
544C22×C4C23×D7312yes—
545C22×C4C23×D7312yes—
546C22×C4C23×D7312yes—
547C22×C4C23×D7312yes—
548C22×C4C23×D7312yes—
549C22×C4C23×D7312yes—
550C22×C4C23×D7312yes—
551C4⋊C4—28no—
552C4⋊C4—28no—
553C4⋊C4—2924no—
554C4⋊C4—2924no—
555C4⋊C4—1468no—
556C4⋊C4—1468no—
557C4⋊C4—1468no—
558C4⋊C4—1468no—
559C4⋊C4—1468no—
560C22⋊C4—2924no—
561C22⋊C4—2924no—
562C22⋊C4—1468no—
563C22⋊C4—1468no—
564C22⋊C4—1468no—
565C22⋊C4—1468no—
566C22⋊C4—1468no—
567C42—28no—
568C42—28no—
569C42—28no—
570C42—2924no—
571C42—2924no—
572C23—2924no—
573C23—2924no—
574C23—2924no—
575C23—2924no—
576C23—2924no—
577C23—2924no—
578C23—2924no—
579C23—1462no—
580C23—1462no—
581C23—1462no—
582C23—1462no—
583C23—1462no—
584C23—1462no—
585C23—1462no—
586C23#41×D7312yes—
587C23C2×#1192402712yes—
588C23C2×#1192402812yes—
589C23C2×#1192402812yes—
590C23C2×#1192402812yes—
591C23#1455663712yes—
592C23#1455663912yes—
593C23C24×D7311yescharacteristic
594C2×C4—28no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—28no—
604C2×C4—28no—
605C2×C4—28no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—2924no—
619C2×C4—2924no—
620C2×C4—2924no—
621C2×C4—2924no—
622C2×C4—2924no—
623C2×C4—2924no—
624C2×C4—734no—
625C2×C4—1462no—
626C2×C4—1462no—
627C2×C4—1462no—
628C2×C4—1462no—
629C2×C4—1462no—
630C2×C4—1462no—
631C2×C4—1462no—
632C2×C4—1462no—
633C2×C4—1462no—
634C2×C4—1462no—
635C2×C4—1462no—
636C2×C4—1462no—
637C2×C4—1462no—
638C2×C4—1462no—
639C2×C4—1462no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1462no—
645C2×C4—1468no—
646C2×C4C2×#1192402714yes—
647C2×C4C2×#1192402814yes—
648C2×C4C2×#1192402814yes—
649C2×C4C2×#1192402814yes—
650C22—2922no—
651C22—2922no—
652C22—2922no—
653C22—2922no—
654C22—2922no—
655C22—2922no—
656C22—2922no—
657C22—5848no—
658C22#1798911714yes—
659C22#1798912114yes—
660C22#1798920914yes—
661C22#1798927214yes—
662C22#1798928114yes—
663C22#1798928314yes—
664C22#1798930914yes—
665C22C2×#41×D7311yescharacteristic
666C22C22×#1192402711yescharacteristic
667C22C22×#1192402811yescharacteristic
668C22C22×#1192402811yescharacteristic
669C22C22×#1192402811yescharacteristic
670C22C2×#1455663711yescharacteristic
671C22C2×#1455663911yescharacteristic
672C4—24no—
673C4—24no—
674C4—24no—
675C4—24no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—2922no—
680C4—2922no—
681C4—2922no—
682C4—2922no—
683C4—2922no—
684C4—2922no—
685C4—1464no—
686C2—5842no—
687C2#2261468818yesdirect product factor
688C2C2×#1798911711yescharacteristic
689C2C2×#1798912111yescharacteristic
690C2C2×#1798920911yescharacteristic
691C2C2×#1798927211yescharacteristic
692C2C2×#1798928111yescharacteristic
693C2C2×#1798928311yescharacteristic
694C2C2×#1798930911yescharacteristic
subgroupG/H
centerC24C23×D73
commutator, cosocleC23×C73C25
FrattiniC23C24×D73
FittingC2×C4×C4⋊C4×C73C2
socleC24×C73C24
prime radicalC24×D73C23
hypercenterC2×C4×C4⋊C4D73
hypocenterC73C2×#2525
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. #22614688C2direct (N × H)
2. C2×#17988526C2semidirect
3. C2×#17988521C2semidirect
6. C2×#17988482C2semidirect
12. C2×#17988471C2semidirect
13. C2×#17988469C2semidirect
14. C2×#17988455C2semidirect
15. C2×C4×C4⋊Dic73C2semidirect
16. C2×C4×C4⋊C4×C73C2semidirect
33. #17988526C22semidirect
34. #17988521C22semidirect
37. #17988482C22semidirect
43. #17988471C22semidirect
44. #17988469C22semidirect
45. #17988455C22semidirect
46. C4×C4⋊Dic73C22semidirect
64. C4×C4⋊C4×C73C22semidirect
339. C2×C73#2525semidirect
363. C2×C4×C4⋊C4D73semidirect
364. C73C2×#2525semidirect
400. C4×C4⋊C4C2×D73semidirect
687. C2#22614688direct (N × H)

Maximal subgroups

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

subgroupindex
#226146882
C2×#179885262
C2×#179885212
C2×#179885142
C2×#179885092
C2×#179884822
C2×#179884782
C2×#179884772
C2×#179884762
C2×#179884712
C2×#179884692
C2×#179884552
C2×C4×C4⋊Dic732
C2×C4×C4⋊C4×C732
C2×#252573