Finite Group Databasebeta

← C2×#389×D71 #32155795

Subgroups — C2×#389×D71 #32155795

Order 18176.

4894 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D71C211yesmaximal, characteristic
2C22×C4⋊C4×D71C212yesmaximal
3C22×C4⋊C4×D71C211yesmaximal, characteristic
4C22×C42×D71C211yesmaximal, characteristic
5C2×#17985898C211yesmaximal, characteristic, complemented
6C2×#17985897C211yesmaximal, characteristic, complemented
7C2×#17985896C212yesmaximal, complemented
8C2×#17985895C211yesmaximal, characteristic, complemented
9C2×#17985894C212yesmaximal, complemented
10#389×D71C2116yesmaximal, direct product factor
11C2×#95×D71C212yesmaximal
12C2×#389×C71C211yesmaximal, characteristic, complemented
13C23×C4×D71C2212yes—
14C23×C4×D71C2212yes—
15C23×C4×D71C2211yescharacteristic
16C23×C4×D71C2211yescharacteristic
17C23×C4×D71C2211yescharacteristic
18C22×C4⋊Dic71C2212yes—
19C22×C4⋊Dic71C2211yescharacteristic
20C22×C4⋊Dic71C2211yescharacteristic
21C22×Dic71⋊C4C2212yes—
22C22×Dic71⋊C4C2212yes—
23C22×Dic71⋊C4C2212yes—
24C22×Dic71⋊C4C2212yes—
25C2×C4⋊C4×D71—216no—
26C2×C4⋊C4×D71—28no—
27C2×C4⋊C4×D71C4116yescomplemented
28C2×C4⋊C4×D71C2218yes—
29C2×C4⋊C4×D71C22116yes—
30C2×C4⋊C4×D71C2218yes—
31C22×C4×Dic71C2211yescharacteristic
32C22×C4×Dic71C2211yescharacteristic
33C22×C4×Dic71C2211yescharacteristic
34C2×C42×D71—28no—
35C2×C42×D71C2218yes—
36#17985898C2218yescomplemented
37#17985897C2218yescomplemented
38#17985896C22116yescomplemented
39#17985895C2218yescomplemented
40#17985894C22116yescomplemented
41C2×C71⋊#95C2212yes—
42C2×C71⋊#95C2212yes—
43C2×C71⋊#95C2212yes—
44#95×D71C22116yes—
45C22×C4⋊C4×C71C2212yes—
46C22×C4⋊C4×C71C2211yescharacteristic
47C22×C4⋊C4×C71C2211yescharacteristic
48C22×C42×C71C2211yescharacteristic
49#389×C71C2218yescomplemented
50C2×#95×C71C2212yes—
51C24×D71C2311yescharacteristic
52C23×Dic71C2312yes—
53C23×Dic71C2312yes—
54C23×Dic71C2311yescharacteristic
55C23×Dic71C2311yescharacteristic
56C23×Dic71C2311yescharacteristic
57C22×C4×D71—24no—
58C22×C4×D71—24no—
59C22×C4×D71—28no—
60C22×C4×D71—28no—
61C22×C4×D71—24no—
62C22×C4×D71—24no—
63C22×C4×D71—28no—
64C22×C4×D71—28no—
65C22×C4×D71—28no—
66C22×C4×D71C2×C4116yes—
67C22×C4×D71C2×C418yes—
68C22×C4×D71D418yes—
69C22×C4×D71D418yes—
70C22×C4×D71Q818yes—
71C22×C4×D71Q818yes—
72C22×C4×D71C2318yes—
73C22×C4×D71C2318yes—
74C22×C4×D71C2314yes—
75C22×C4×D71C2314yes—
76C22×C4×D71C2314yes—
77C2×C4⋊Dic71—28no—
78C2×C4⋊Dic71—24no—
79C2×C4⋊Dic71C2×C418yescomplemented
80C2×C4⋊Dic71C2318yes—
81C2×C4⋊Dic71C2314yes—
82C2×C4⋊Dic71C2314yes—
83C2×Dic71⋊C4—28no—
84C2×Dic71⋊C4—28no—
85C2×Dic71⋊C4—28no—
86C2×Dic71⋊C4C2×C4116yescomplemented
87C2×Dic71⋊C4C2318yes—
88C2×Dic71⋊C4C2318yes—
89C2×Dic71⋊C4C2318yes—
90C2×Dic71⋊C4C2318yes—
91C4⋊C4×D71—264no—
92C4⋊C4×D71—232no—
93C4⋊C4×D71C2×C4164yescomplemented
94C2×C4×Dic71—24no—
95C2×C4×Dic71—24no—
96C2×C4×Dic71—24no—
97C2×C4×Dic71C2314yes—
98C2×C4×Dic71C2314yes—
99C2×C4×Dic71C2314yes—
100C42×D71—232no—
101C71⋊#95C2318yes—
102C71⋊#95C2318yes—
103C71⋊#95C2318yes—
104C23×C4×C71C2312yes—
105C23×C4×C71C2312yes—
106C23×C4×C71C2311yescharacteristic
107C23×C4×C71C2311yescharacteristic
108C23×C4×C71C2311yescharacteristic
109C2×C4⋊C4×C71—28no—
110C2×C4⋊C4×C71—24no—
111C2×C4⋊C4×C71C2×C418yescomplemented
112C2×C4⋊C4×C71C2318yes—
113C2×C4⋊C4×C71C2314yes—
114C2×C4⋊C4×C71C2314yes—
115C2×C42×C71—24no—
116C2×C42×C71C2314yes—
117#95×C71C2318yes—
118C23×D71C22×C414yes—
119C23×D71C2×D414yes—
120C23×D71C2×D414yes—
121C23×D71C2×Q814yes—
122C23×D71C2×Q814yes—
123C23×D71#4114yes—
124C23×D71#4114yes—
125C23×D71C2412yes—
126C22×Dic71—22no—
127C22×Dic71—22no—
128C22×Dic71—24no—
129C22×Dic71—24no—
130C22×Dic71—22no—
131C22×Dic71—22no—
132C22×Dic71—24no—
133C22×Dic71—24no—
134C22×Dic71—24no—
135C22×Dic71C22×C418yes—
136C22×Dic71C22×C414yes—
137C22×Dic71C2×D414yes—
138C22×Dic71C2×D414yes—
139C22×Dic71C2×Q814yes—
140C22×Dic71C2×Q814yes—
141C22×Dic71C2414yes—
142C22×Dic71C2414yes—
143C22×Dic71C2412yes—
144C22×Dic71C2412yes—
145C22×Dic71C2412yes—
146C2×C4×D71—264no—
147C2×C4×D71—232no—
148C2×C4×D71—232no—
149C2×C4×D71—28no—
150C2×C4×D71—28no—
151C2×C4×D71—216no—
152C2×C4×D71—216no—
153C2×C4×D71—28no—
154C2×C4×D71—28no—
155C2×C4×D71—216no—
156C2×C4×D71—216no—
157C2×C4×D71—216no—
158C2×C4×D71—432no—
159C2×C4×D71C4⋊C4164yescomplemented
160C2×C4×D71C22×C4132yes—
161C2×C4×D71C22×C4116yes—
162C2×C4×D71C2×D4116yes—
163C2×C4×D71C2×D4116yes—
164C2×C4×D71C2×Q8116yes—
165C2×C4×D71C2×Q8116yes—
166C4⋊Dic71—28no—
167C4⋊Dic71—216no—
168C4⋊Dic71C22×C4116yescomplemented
169Dic71⋊C4—216no—
170Dic71⋊C4—216no—
171Dic71⋊C4—216no—
172Dic71⋊C4C22×C4132yescomplemented
173C4×Dic71—28no—
174C4×Dic71—28no—
175C4×Dic71—28no—
176C24×C71C2411yescharacteristic
177C22×C4×C71—22no—
178C22×C4×C71—22no—
179C22×C4×C71—24no—
180C22×C4×C71—24no—
181C22×C4×C71—22no—
182C22×C4×C71—22no—
183C22×C4×C71—24no—
184C22×C4×C71—24no—
185C22×C4×C71—24no—
186C22×C4×C71C22×C418yes—
187C22×C4×C71C22×C414yes—
188C22×C4×C71C2×D414yes—
189C22×C4×C71C2×D414yes—
190C22×C4×C71C2×Q814yes—
191C22×C4×C71C2×Q814yes—
192C22×C4×C71C2414yes—
193C22×C4×C71C2414yes—
194C22×C4×C71C2412yes—
195C22×C4×C71C2412yes—
196C22×C4×C71C2412yes—
197C4⋊C4×C71—216no—
198C4⋊C4×C71—28no—
199C4⋊C4×C71C22×C4116yescomplemented
200C42×C71—28no—
201C23×C71C23×C412yes—
202C23×C71C22×D412yes—
203C23×C71C22×D412yes—
204C23×C71C22×Q812yes—
205C23×C71C22×Q812yes—
206C23×C71C2×#4112yes—
207C23×C71C2×#4112yes—
208C23×C71C2511yescharacteristic
209C22×D71C2×C4⋊C4116yes—
210C22×D71C4×D4116yes—
211C22×D71C4×Q8116yes—
212C22×D71#121116yes—
213C22×D71C22⋊Q8116yes—
214C22×D71#125116yes—
215C22×D71C4⋊Q8116yes—
216C22×D71C23×C414yes—
217C22×D71C22×D414yes—
218C22×D71C22×D414yes—
219C22×D71C22×Q814yes—
220C22×D71C22×Q814yes—
221C22×D71C2×#4114yes—
222C22×D71C2×#4114yes—
223C2×C4×C71—216no—
224C2×C4×C71—28no—
225C2×C4×C71—28no—
226C2×C4×C71—22no—
227C2×C4×C71—22no—
228C2×C4×C71—24no—
229C2×C4×C71—24no—
230C2×C4×C71—22no—
231C2×C4×C71—22no—
232C2×C4×C71—24no—
233C2×C4×C71—24no—
234C2×C4×C71—24no—
235C2×C4×C71—48no—
236C2×C4×C71C2×C4⋊C4116yescomplemented
237C2×C4×C71C23×C418yes—
238C2×C4×C71C23×C414yes—
239C2×C4×C71C22×D414yes—
240C2×C4×C71C22×D414yes—
241C2×C4×C71C22×Q814yes—
242C2×C4×C71C22×Q814yes—
243C2×Dic71—216no—
244C2×Dic71—28no—
245C2×Dic71—28no—
246C2×Dic71—22no—
247C2×Dic71—22no—
248C2×Dic71—24no—
249C2×Dic71—24no—
250C2×Dic71—22no—
251C2×Dic71—22no—
252C2×Dic71—24no—
253C2×Dic71—24no—
254C2×Dic71—24no—
255C2×Dic71—48no—
256C2×Dic71C2×C4⋊C4116yescomplemented
257C2×Dic71C23×C418yes—
258C2×Dic71C23×C414yes—
259C2×Dic71C22×D414yes—
260C2×Dic71C22×D414yes—
261C2×Dic71C22×Q814yes—
262C2×Dic71C22×Q814yes—
263C4×D71—264no—
264C4×D71—232no—
265C4×D71—232no—
266C4×D71—432no—
267C4×D71C2×C4⋊C4164yescomplemented
268C22×C71C22×C4⋊C414yes—
269C22×C71C2×C4×D414yes—
270C22×C71C2×C4×Q814yes—
271C22×C71C2×#12114yes—
272C22×C71C2×C22⋊Q814yes—
273C22×C71C2×#12514yes—
274C22×C71C2×C4⋊Q814yes—
275C22×C71C24×C411yescharacteristic
276C22×C71C23×D411yescharacteristic
277C22×C71C23×D411yescharacteristic
278C22×C71C23×Q811yescharacteristic
279C22×C71C23×Q811yescharacteristic
280C22×C71C22×#4111yescharacteristic
281C22×C71C22×#4111yescharacteristic
282C2×D71#389164yesdirect product factor
283C2×D71C22×C4⋊C418yes—
284C2×D71C2×C4×D418yes—
285C2×D71C2×C4×Q818yes—
286C2×D71C2×#12118yes—
287C2×D71C2×C22⋊Q818yes—
288C2×D71C2×#12518yes—
289C2×D71C2×C4⋊Q818yes—
290C4×C71—28no—
291C4×C71—24no—
292C4×C71—24no—
293C4×C71—44no—
294C4×C71C22×C4⋊C418yescomplemented
295Dic71—28no—
296Dic71—24no—
297Dic71—24no—
298Dic71—44no—
299Dic71C22×C4⋊C418yescomplemented
300C22×#389—711nomaximal, Sylow
301C2×C71C2×#38918yescomplemented
302C2×C71C23×C4⋊C411yescharacteristic
303C2×C71C22×C4×D411yescharacteristic
304C2×C71C22×C4×Q811yescharacteristic
305C2×C71C22×#12111yescharacteristic
306C2×C71C22×C22⋊Q811yescharacteristic
307C2×C71C22×#12511yescharacteristic
308C2×C71C22×C4⋊Q811yescharacteristic
309D71C2×#389116yesdirect product factor
310C23×C4⋊C4—711no—
311C23×C4⋊C4—711no—
312C23×C4⋊C4—712no—
313C23×C42—711no—
314C2×#389—711no—
315C2×#389—7116no—
316C2×#389—712no—
317C2×#389—712no—
318C2×#389—711no—
319C2×#389—711no—
320C2×#389D7111yescharacteristic, direct product factor
321C22×#95—712no—
322C71C22×#38911yescharacteristic, complemented, Sylow
323C24×C4—711no—
324C24×C4—711no—
325C24×C4—711no—
326C24×C4—712no—
327C24×C4—712no—
328C22×C4⋊C4—712no—
329C22×C4⋊C4—711no—
330C22×C4⋊C4—7116no—
331C22×C4⋊C4—718no—
332C22×C4⋊C4—712no—
333C22×C4⋊C4—712no—
334C22×C4⋊C4—712no—
335C22×C4⋊C4—712no—
336C22×C4⋊C4—711no—
337C22×C4⋊C4—718no—
338C22×C4⋊C4—7116no—
339C22×C4⋊C4—1428no—
340C22×C4⋊C4—14216no—
341C22×C4⋊C4C2×D7111yescharacteristic
342C22×C4⋊C4C2×D7112yes—
343C22×C4⋊C4C2×D7111yescharacteristic
344C22×C42—711no—
345C22×C42—711no—
346C22×C42—711no—
347C22×C42—718no—
348C22×C42—1428no—
349C22×C42C2×D7111yescharacteristic
350#389—7116no—
351#389—718no—
352#389—718no—
353#389—718no—
354#389—7116no—
355#389C2×D7118yesdirect product factor
356C2×#95—712no—
357C2×#95—712no—
358C2×#95—712no—
359C2×#95—7116no—
360C2×#95C2×D7112yes—
361C25—711no—
362C23×C4—711no—
363C23×C4—718no—
364C23×C4—718no—
365C23×C4—718no—
366C23×C4—714no—
367C23×C4—712no—
368C23×C4—711no—
369C23×C4—711no—
370C23×C4—7116no—
371C23×C4—718no—
372C23×C4—718no—
373C23×C4—718no—
374C23×C4—714no—
375C23×C4—714no—
376C23×C4—712no—
377C23×C4—718no—
378C23×C4—1428no—
379C23×C4—1428no—
380C23×C4—1428no—
381C23×C4—1428no—
382C23×C4—1424no—
383C23×C4—1424no—
384C23×C4—1428no—
385C23×C4—1424no—
386C23×C4—1424no—
387C23×C4C22×D7112yes—
388C23×C4C22×D7112yes—
389C23×C4C22×D7111yescharacteristic
390C23×C4C22×D7111yescharacteristic
391C23×C4C22×D7111yescharacteristic
392C2×C4⋊C4—28no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—7116no—
395C2×C4⋊C4—718no—
396C2×C4⋊C4—718no—
397C2×C4⋊C4—714no—
398C2×C4⋊C4—7164no—
399C2×C4⋊C4—718no—
400C2×C4⋊C4—718no—
401C2×C4⋊C4—718no—
402C2×C4⋊C4—718no—
403C2×C4⋊C4—714no—
404C2×C4⋊C4—14232no—
405C2×C4⋊C4—14264no—
406C2×C4⋊C4—1428no—
407C2×C4⋊C4—1428no—
408C2×C4⋊C4—1428no—
409C2×C4⋊C4—1428no—
410C2×C4⋊C4—1424no—
411C2×C4⋊C4C4×D7118yescomplemented
412C2×C4⋊C4C22×D7114yes—
413C2×C4⋊C4C22×D7118yes—
414C2×C4⋊C4C22×D7114yes—
415C2×C42—24no—
416C2×C42—714no—
417C2×C42—714no—
418C2×C42—714no—
419C2×C42—14232no—
420C2×C42—1424no—
421C2×C42—1424no—
422C2×C42—1424no—
423C2×C42C22×D7114yes—
424#95—718no—
425#95—718no—
426#95—718no—
427#95C22×D7118yes—
428C24—714no—
429C24—714no—
430C24—714no—
431C24—714no—
432C24—714no—
433C24—714no—
434C24—714no—
435C24—712no—
436C24C23×D7111yescharacteristic
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—28432no—
447C22×C4—714no—
448C22×C4—714no—
449C22×C4—714no—
450C22×C4—712no—
451C22×C4—7116no—
452C22×C4—7116no—
453C22×C4—7116no—
454C22×C4—7164no—
455C22×C4—718no—
456C22×C4—714no—
457C22×C4—714no—
458C22×C4—712no—
459C22×C4—714no—
460C22×C4—712no—
461C22×C4—7132no—
462C22×C4—7116no—
463C22×C4—7116no—
464C22×C4—714no—
465C22×C4—14216no—
466C22×C4—14216no—
467C22×C4—14216no—
468C22×C4—1428no—
469C22×C4—1428no—
470C22×C4—14216no—
471C22×C4—14216no—
472C22×C4—1428no—
473C22×C4—1428no—
474C22×C4—14264no—
475C22×C4—14232no—
476C22×C4—14232no—
477C22×C4—1424no—
478C22×C4—1424no—
479C22×C4—1424no—
480C22×C4—1422no—
481C22×C4—1422no—
482C22×C4—1424no—
483C22×C4—1424no—
484C22×C4—1422no—
485C22×C4—1422no—
486C22×C4C2×C4×D7118yes—
487C22×C4C2×C4×D7114yes—
488C22×C4D4×D7114yes—
489C22×C4D4×D7114yes—
490C22×C4Q8×D7114yes—
491C22×C4Q8×D7114yes—
492C22×C4C23×D7114yes—
493C22×C4C23×D7114yes—
494C22×C4C23×D7112yes—
495C22×C4C23×D7112yes—
496C22×C4C23×D7112yes—
497C4⋊C4—216no—
498C4⋊C4—28no—
499C4⋊C4—7132no—
500C4⋊C4—7116no—
501C4⋊C4—14216no—
502C4⋊C4—14216no—
503C4⋊C4—14216no—
504C4⋊C4—14216no—
505C4⋊C4—1428no—
506C4⋊C4C2×C4×D71116yescomplemented
507C42—28no—
508C42—1428no—
509C42—1428no—
510C42—1428no—
511C23—714no—
512C23—714no—
513C23—714no—
514C23—714no—
515C23—714no—
516C23—714no—
517C23—714no—
518C23—7116no—
519C23—7116no—
520C23—7116no—
521C23—7116no—
522C23—7116no—
523C23—7116no—
524C23—7116no—
525C23C22×C4×D7112yes—
526C23C2×D4×D7112yes—
527C23C2×D4×D7112yes—
528C23C2×Q8×D7112yes—
529C23C2×Q8×D7112yes—
530C23#41×D7112yes—
531C23#41×D7112yes—
532C23C24×D7111yescharacteristic
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—24no—
536C2×C4—24no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—216no—
540C2×C4—28no—
541C2×C4—28no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—48no—
546C2×C4—28432no—
547C2×C4—2848no—
548C2×C4—714no—
549C2×C4—714no—
550C2×C4—714no—
551C2×C4—7116no—
552C2×C4—7164no—
553C2×C4—718no—
554C2×C4—714no—
555C2×C4—714no—
556C2×C4—14264no—
557C2×C4—14232no—
558C2×C4—14232no—
559C2×C4—1424no—
560C2×C4—1424no—
561C2×C4—1424no—
562C2×C4—1422no—
563C2×C4—1422no—
564C2×C4—1424no—
565C2×C4—1424no—
566C2×C4—1422no—
567C2×C4—1422no—
568C2×C4—14216no—
569C2×C4—1428no—
570C2×C4—1428no—
571C2×C4C4⋊C4×D71116yescomplemented
572C2×C4C22×C4×D7118yes—
573C2×C4C22×C4×D7114yes—
574C2×C4C2×D4×D7114yes—
575C2×C4C2×D4×D7114yes—
576C2×C4C2×Q8×D7114yes—
577C2×C4C2×Q8×D7114yes—
578C22—718no—
579C22—718no—
580C22—718no—
581C22—7164no—
582C22—718no—
583C22—718no—
584C22—718no—
585C22—718no—
586C22C2×C4⋊C4×D7114yes—
587C22C4×D4×D7114yes—
588C22C4×Q8×D7114yes—
589C22#121×D7114yes—
590C22C22⋊Q8×D7114yes—
591C22#125×D7114yes—
592C22C4⋊Q8×D7114yes—
593C22C23×C4×D7111yescharacteristic
594C22C22×D4×D7111yescharacteristic
595C22C22×D4×D7111yescharacteristic
596C22C22×Q8×D7111yescharacteristic
597C22C22×Q8×D7111yescharacteristic
598C22C2×#41×D7111yescharacteristic
599C22C2×#41×D7111yescharacteristic
600C4—28no—
601C4—24no—
602C4—24no—
603C4—44no—
604C4—2844no—
605C4—718no—
606C4—1428no—
607C4—1424no—
608C4—1424no—
609C4C2×C4⋊C4×D7118yescomplemented
610C2—7116no—
611C2#389×D7118yesdirect product factor
612C2C22×C4⋊C4×D7111yescharacteristic
613C2C2×C4×D4×D7111yescharacteristic
614C2C2×C4×Q8×D7111yescharacteristic
615C2C2×#121×D7111yescharacteristic
616C2C2×C22⋊Q8×D7111yescharacteristic
617C2C2×#125×D7111yescharacteristic
618C2C2×C4⋊Q8×D7111yescharacteristic
subgroupG/H
centerC24C23×D71
commutatorC22×C71C24×C4
FrattiniC23C24×D71
FittingC2×#389×C71C2
socleC24×C71C24
prime radicalC24×D71C23
cosocleC23×C71C25
hypercenterC2×#389D71
hypocenterC71C22×#389
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
5. C2×#17985898C2semidirect
6. C2×#17985897C2semidirect
7. C2×#17985896C2semidirect
8. C2×#17985895C2semidirect
9. C2×#17985894C2semidirect
10. #389×D71C2direct (N × H)
12. C2×#389×C71C2semidirect
27. C2×C4⋊C4×D71C4semidirect
36. #17985898C22semidirect
37. #17985897C22semidirect
38. #17985896C22semidirect
39. #17985895C22semidirect
40. #17985894C22semidirect
49. #389×C71C22semidirect
79. C2×C4⋊Dic71C2×C4semidirect
86. C2×Dic71⋊C4C2×C4semidirect
93. C4⋊C4×D71C2×C4semidirect
111. C2×C4⋊C4×C71C2×C4semidirect
159. C2×C4×D71C4⋊C4semidirect
168. C4⋊Dic71C22×C4semidirect
172. Dic71⋊C4C22×C4semidirect
199. C4⋊C4×C71C22×C4semidirect
236. C2×C4×C71C2×C4⋊C4semidirect
256. C2×Dic71C2×C4⋊C4semidirect
267. C4×D71C2×C4⋊C4semidirect
282. C2×D71#389direct (N × H)
294. C4×C71C22×C4⋊C4semidirect
299. Dic71C22×C4⋊C4semidirect
301. C2×C71C2×#389semidirect
309. D71C2×#389direct (N × H)
320. C2×#389D71direct (N × H)
322. C71C22×#389semidirect
355. #389C2×D71direct (N × H)
411. C2×C4⋊C4C4×D71semidirect
506. C4⋊C4C2×C4×D71semidirect
571. C2×C4C4⋊C4×D71semidirect
609. C4C2×C4⋊C4×D71semidirect
611. C2#389×D71direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D712
C22×C42×D712
C2×#179858982
C2×#179858972
C2×#179858962
C2×#179858952
C2×#179858942
#389×D712
C2×#95×D712
C2×#389×C712
C22×#38971