Finite Group Databasebeta

← C71×#14023 #31834895

Subgroups — C71×#14023 #31834895

Order 18176.

3166 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#121×C71C211yesmaximal, characteristic
2C22×C4×D4×C71C211yesmaximal, characteristic, complemented
3C2×#386×C71C211yesmaximal, characteristic, complemented
4C2×#386×C71C211yesmaximal, characteristic, complemented
5C2×#386×C71C211yesmaximal, characteristic, complemented
6C2×#386×C71C211yesmaximal, characteristic, complemented
7C22×#95×C71C211yesmaximal, characteristic, complemented
8C71×#1441C211yesmaximal, characteristic, complemented
9C71×#1440C211yesmaximal, characteristic, complemented
10C71×#1439C211yesmaximal, characteristic, complemented
11C71×#1438C211yesmaximal, characteristic, complemented
12C71×#1437C211yesmaximal, characteristic, complemented
13C71×#1436C211yesmaximal, characteristic, complemented
14C71×C22⋊#95C211yesmaximal, characteristic, complemented
15C71×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C71C2211yescharacteristic
17C23×D4×C71C2211yescharacteristic
18C23×D4×C71C2211yescharacteristic
19C24×C4×C71C2211yescharacteristic
20C24×C4×C71C2211yescharacteristic
21C24×C4×C71C2211yescharacteristic
22C24×C4×C71C2211yescharacteristic
23C2×#121×C71—24no—
24C2×#121×C71—24no—
25C2×#121×C71C418yescomplemented
26C2×C4×D4×C71—24no—
27C2×C4×D4×C71—24no—
28C2×C4×D4×C71—24no—
29C22×C4⋊C4×C71C2211yescharacteristic
30C22×C4⋊C4×C71C2211yescharacteristic
31C22×C22⋊C4×C71C2211yescharacteristic
32C22×C22⋊C4×C71C2211yescharacteristic
33C22×C22⋊C4×C71C2211yescharacteristic
34C22×C22⋊C4×C71C2211yescharacteristic
35C22×C22⋊C4×C71C2211yescharacteristic
36C22×C22⋊C4×C71C2211yescharacteristic
37C22×C22⋊C4×C71C2211yescharacteristic
38C22×C22⋊C4×C71C2211yescharacteristic
39C22×C22⋊C4×C71C2211yescharacteristic
40C22×C22⋊C4×C71C2211yescharacteristic
41C22×C22⋊C4×C71C2211yescharacteristic
42C22×C42×C71C2211yescharacteristic
43#386×C71—24no—
44#386×C71—24no—
45#386×C71—24no—
46#386×C71—24no—
47C2×#95×C71—24no—
48C2×#95×C71C2211yescharacteristic
49C2×#95×C71C2211yescharacteristic
50C2×#95×C71C2211yescharacteristic
51C2×#95×C71C2211yescharacteristic
52C2×#95×C71C2211yescharacteristic
53C2×#95×C71C2211yescharacteristic
54C2×#95×C71C2211yescharacteristic
55C2×#95×C71C2211yescharacteristic
56C2×#95×C71C2211yescharacteristic
57C2×#95×C71C2211yescharacteristic
58C2×#95×C71C2211yescharacteristic
59C2×#95×C71C2211yescharacteristic
60C2×#95×C71C2211yescharacteristic
61C2×#95×C71C2211yescharacteristic
62C25×C71C2311yescharacteristic
63C25×C71C2311yescharacteristic
64C25×C71C2311yescharacteristic
65C22×D4×C71—22no—
66C22×D4×C71—22no—
67C22×D4×C71—22no—
68C22×D4×C71—22no—
69C22×D4×C71—22no—
70C22×D4×C71—22no—
71C22×D4×C71—22no—
72C22×D4×C71—22no—
73C22×D4×C71—22no—
74C22×D4×C71—22no—
75C22×D4×C71—22no—
76C22×D4×C71—22no—
77C22×D4×C71—22no—
78C22×D4×C71—22no—
79C22×D4×C71—41no—
80C22×D4×C71—41no—
81C22×D4×C71C2×C414yes—
82C22×D4×C71C2×C414yescomplemented
83C22×D4×C71C2×C414yescomplemented
84C22×D4×C71D414yes—
85C22×D4×C71D414yes—
86C23×C4×C71—22no—
87C23×C4×C71—22no—
88C23×C4×C71—22no—
89C23×C4×C71—22no—
90C23×C4×C71—22no—
91C23×C4×C71—22no—
92C23×C4×C71—22no—
93C23×C4×C71—22no—
94C23×C4×C71—22no—
95C23×C4×C71—22no—
96C23×C4×C71—22no—
97C23×C4×C71—22no—
98C23×C4×C71—22no—
99C23×C4×C71—22no—
100C23×C4×C71—22no—
101C23×C4×C71—22no—
102C23×C4×C71—22no—
103C23×C4×C71—22no—
104C23×C4×C71—41no—
105C23×C4×C71—41no—
106C23×C4×C71—41no—
107C23×C4×C71—41no—
108C23×C4×C71—41no—
109C23×C4×C71—41no—
110C23×C4×C71—41no—
111C23×C4×C71—41no—
112C23×C4×C71C2×C414yescomplemented
113C23×C4×C71D414yescomplemented
114C23×C4×C71C2311yescharacteristic
115C23×C4×C71C2311yescharacteristic
116C23×C4×C71C2311yescharacteristic
117C23×C4×C71C2311yescharacteristic
118C23×C4×C71C2311yescharacteristic
119C23×C4×C71C2311yescharacteristic
120C23×C4×C71C2311yescharacteristic
121C23×C4×C71C2311yescharacteristic
122C23×C4×C71C2311yescharacteristic
123C23×C4×C71C2311yescharacteristic
124C23×C4×C71C2311yescharacteristic
125C23×C4×C71C2311yescharacteristic
126#121×C71—232no—
127C4×D4×C71—232no—
128C2×C4⋊C4×C71—22no—
129C2×C4⋊C4×C71—22no—
130C2×C4⋊C4×C71—22no—
131C2×C4⋊C4×C71—22no—
132C2×C4⋊C4×C71—22no—
133C2×C4⋊C4×C71C2×C414yescomplemented
134C2×C22⋊C4×C71—22no—
135C2×C22⋊C4×C71—22no—
136C2×C22⋊C4×C71—22no—
137C2×C22⋊C4×C71—22no—
138C2×C22⋊C4×C71—22no—
139C2×C22⋊C4×C71—22no—
140C2×C22⋊C4×C71—22no—
141C2×C22⋊C4×C71—22no—
142C2×C22⋊C4×C71—22no—
143C2×C22⋊C4×C71—22no—
144C2×C22⋊C4×C71—22no—
145C2×C22⋊C4×C71—22no—
146C2×C22⋊C4×C71—22no—
147C2×C22⋊C4×C71—22no—
148C2×C22⋊C4×C71—22no—
149C2×C22⋊C4×C71—22no—
150C2×C22⋊C4×C71—22no—
151C2×C22⋊C4×C71—22no—
152C2×C22⋊C4×C71—22no—
153C2×C22⋊C4×C71—22no—
154C2×C22⋊C4×C71—22no—
155C2×C22⋊C4×C71—22no—
156C2×C22⋊C4×C71—22no—
157C2×C22⋊C4×C71—22no—
158C2×C22⋊C4×C71—41no—
159C2×C22⋊C4×C71—41no—
160C2×C22⋊C4×C71—41no—
161C2×C22⋊C4×C71—41no—
162C2×C22⋊C4×C71—41no—
163C2×C22⋊C4×C71—41no—
164C2×C22⋊C4×C71C2×C414yescomplemented
165C2×C22⋊C4×C71C2×C414yescomplemented
166C2×C22⋊C4×C71D414yescomplemented
167C2×C42×C71—22no—
168C2×C42×C71—22no—
169C2×C42×C71—22no—
170#95×C71—22no—
171#95×C71—22no—
172#95×C71—22no—
173#95×C71—22no—
174#95×C71—22no—
175#95×C71—22no—
176#95×C71—22no—
177#95×C71—22no—
178#95×C71—22no—
179#95×C71—22no—
180#95×C71—22no—
181#95×C71—41no—
182#95×C71—41no—
183#95×C71D414yescomplemented
184C24×C71—21no—
185C24×C71—21no—
186C24×C71—21no—
187C24×C71—21no—
188C24×C71—21no—
189C24×C71—21no—
190C24×C71—21no—
191C24×C71—21no—
192C24×C71—21no—
193C24×C71—21no—
194C24×C71—21no—
195C24×C71—21no—
196C24×C71—21no—
197C24×C71—21no—
198C24×C71—21no—
199C24×C71—21no—
200C24×C71—21no—
201C24×C71—21no—
202C24×C71—21no—
203C24×C71—21no—
204C24×C71—21no—
205C24×C71—21no—
206C24×C71—21no—
207C24×C71—21no—
208C24×C71—21no—
209C24×C71—21no—
210C24×C71—21no—
211C24×C71—21no—
212C24×C71—21no—
213C24×C71—21no—
214C24×C71—21no—
215C24×C71—21no—
216C24×C71—21no—
217C24×C71—21no—
218C24×C71C22×C412yes—
219C24×C71C22×C412yes—
220C24×C71C22×C412yes—
221C24×C71C2×D412yes—
222C24×C71C2×D412yes—
223C24×C71C2×D412yes—
224C24×C71C2×D412yes—
225C24×C71C2×D412yes—
226C24×C71C2×D412yes—
227C24×C71#4112yes—
228C24×C71#4112yes—
229C24×C71C2411yescharacteristic
230C2×D4×C71—28no—
231C2×D4×C71—28no—
232C2×D4×C71—28no—
233C2×D4×C71—28no—
234C2×D4×C71—28no—
235C2×D4×C71—28no—
236C2×D4×C71—28no—
237C2×D4×C71—28no—
238C2×D4×C71—28no—
239C2×D4×C71—28no—
240C2×D4×C71—28no—
241C2×D4×C71—44no—
242C2×D4×C71—44no—
243C2×D4×C71—44no—
244C2×D4×C71—44no—
245C2×D4×C71—44no—
246C2×D4×C71—44no—
247C2×D4×C71—44no—
248C2×D4×C71—44no—
249C2×D4×C71—44no—
250C2×D4×C71C22⋊C4116yescomplemented
251C22×C4×C71—21no—
252C22×C4×C71—21no—
253C22×C4×C71—21no—
254C22×C4×C71—21no—
255C22×C4×C71—21no—
256C22×C4×C71—21no—
257C22×C4×C71—21no—
258C22×C4×C71—21no—
259C22×C4×C71—21no—
260C22×C4×C71—21no—
261C22×C4×C71—21no—
262C22×C4×C71—21no—
263C22×C4×C71—28no—
264C22×C4×C71—28no—
265C22×C4×C71—28no—
266C22×C4×C71—28no—
267C22×C4×C71—21no—
268C22×C4×C71—21no—
269C22×C4×C71—21no—
270C22×C4×C71—21no—
271C22×C4×C71—21no—
272C22×C4×C71—21no—
273C22×C4×C71—21no—
274C22×C4×C71—21no—
275C22×C4×C71—21no—
276C22×C4×C71—21no—
277C22×C4×C71—21no—
278C22×C4×C71—21no—
279C22×C4×C71—21no—
280C22×C4×C71—21no—
281C22×C4×C71—21no—
282C22×C4×C71—21no—
283C22×C4×C71—21no—
284C22×C4×C71—21no—
285C22×C4×C71—21no—
286C22×C4×C71—21no—
287C22×C4×C71—21no—
288C22×C4×C71—21no—
289C22×C4×C71—21no—
290C22×C4×C71—21no—
291C22×C4×C71—21no—
292C22×C4×C71—21no—
293C22×C4×C71—21no—
294C22×C4×C71—21no—
295C22×C4×C71—21no—
296C22×C4×C71—21no—
297C22×C4×C71—21no—
298C22×C4×C71—21no—
299C22×C4×C71—21no—
300C22×C4×C71—21no—
301C22×C4×C71—21no—
302C22×C4×C71—21no—
303C22×C4×C71—21no—
304C22×C4×C71—21no—
305C22×C4×C71—21no—
306C22×C4×C71—21no—
307C22×C4×C71—21no—
308C22×C4×C71—21no—
309C22×C4×C71—28no—
310C22×C4×C71—28no—
311C22×C4×C71—21no—
312C22×C4×C71—21no—
313C22×C4×C71—21no—
314C22×C4×C71—21no—
315C22×C4×C71—21no—
316C22×C4×C71—21no—
317C22×C4×C71—21no—
318C22×C4×C71—21no—
319C22×C4×C71—21no—
320C22×C4×C71—21no—
321C22×C4×C71—21no—
322C22×C4×C71—21no—
323C22×C4×C71—21no—
324C22×C4×C71—21no—
325C22×C4×C71—44no—
326C22×C4×C71—44no—
327C22×C4×C71—44no—
328C22×C4×C71—44no—
329C22×C4×C71—44no—
330C22×C4×C71—44no—
331C22×C4×C71—44no—
332C22×C4×C71—44no—
333C22×C4×C71—44no—
334C22×C4×C71—44no—
335C22×C4×C71—44no—
336C22×C4×C71—44no—
337C22×C4×C71—44no—
338C22×C4×C71—44no—
339C22×C4×C71—44no—
340C22×C4×C71—44no—
341C22×C4×C71—44no—
342C22×C4×C71—44no—
343C22×C4×C71—44no—
344C22×C4×C71—44no—
345C22×C4×C71—44no—
346C22×C4×C71—44no—
347C22×C4×C71C22×C412yes—
348C22×C4×C71C22×C412yes—
349C22×C4×C71C22×C412yes—
350C22×C4×C71C22×C412yes—
351C22×C4×C71C2×D412yes—
352C22×C4×C71C2×D412yes—
353C22×C4×C71C2×D412yes—
354C22×C4×C71C2×D412yes—
355C22×C4×C71C2×D412yes—
356C22×C4×C71C2×D412yes—
357C22×C4×C71C2×D412yes—
358C22×C4×C71C2×D412yes—
359C22×C4×C71C2×D412yes—
360C22×C4×C71#4112yes—
361C22×C4×C71#4112yes—
362C22×C4×C71#4112yes—
363C4⋊C4×C71—28no—
364C4⋊C4×C71—28no—
365C22⋊C4×C71—28no—
366C22⋊C4×C71—28no—
367C22⋊C4×C71—28no—
368C22⋊C4×C71—28no—
369C22⋊C4×C71—44no—
370C22⋊C4×C71—44no—
371C22⋊C4×C71—44no—
372C22⋊C4×C71—44no—
373C22⋊C4×C71—44no—
374C22⋊C4×C71—44no—
375C22⋊C4×C71—44no—
376C42×C71—28no—
377C23×C71—22no—
378C23×C71—22no—
379C23×C71—22no—
380C23×C71—22no—
381C23×C71—22no—
382C23×C71—22no—
383C23×C71—22no—
384C23×C71—22no—
385C23×C71—22no—
386C23×C71—22no—
387C23×C71—22no—
388C23×C71—22no—
389C23×C71—22no—
390C23×C71—22no—
391C23×C71—22no—
392C23×C71—22no—
393C23×C71—22no—
394C23×C71—22no—
395C23×C71—22no—
396C23×C71—22no—
397C23×C71—22no—
398C23×C71—22no—
399C23×C71—22no—
400C23×C71—22no—
401C23×C71—22no—
402C23×C71—22no—
403C23×C71—22no—
404C23×C71—22no—
405C23×C71—22no—
406C23×C71—22no—
407C23×C71—22no—
408C23×C71—22no—
409C23×C71—22no—
410C23×C71—22no—
411C23×C71—22no—
412C23×C71—22no—
413C23×C71—22no—
414C23×C71—22no—
415C23×C71—22no—
416C23×C71—22no—
417C23×C71—22no—
418C23×C71—22no—
419C23×C71—22no—
420C23×C71—22no—
421C23×C71—22no—
422C23×C71—22no—
423C23×C71—22no—
424C23×C71—22no—
425C23×C71—22no—
426C23×C71—22no—
427C23×C71—22no—
428C23×C71—22no—
429C23×C71—22no—
430C23×C71—41no—
431C23×C71—41no—
432C23×C71—41no—
433C23×C71—41no—
434C23×C71—41no—
435C23×C71—41no—
436C23×C71—41no—
437C23×C71—41no—
438C23×C71—41no—
439C23×C71—41no—
440C23×C71—41no—
441C23×C71—41no—
442C23×C71—41no—
443C23×C71—41no—
444C23×C71—41no—
445C23×C71—41no—
446C23×C71—41no—
447C23×C71—41no—
448C23×C71—41no—
449C23×C71—41no—
450C23×C71—41no—
451C23×C71—41no—
452C23×C71—41no—
453C23×C71—41no—
454C23×C71—41no—
455C23×C71—41no—
456C23×C71—41no—
457C23×C71—41no—
458C23×C71—41no—
459C23×C71—41no—
460C23×C71—41no—
461C23×C71—41no—
462C23×C71—41no—
463C23×C71—41no—
464C23×C71—41no—
465C23×C71—41no—
466C23×C71—41no—
467C23×C71—41no—
468C23×C71—41no—
469C23×C71—41no—
470C23×C71—41no—
471C23×C71—41no—
472C23×C71—41no—
473C23×C71—41no—
474C23×C71C2×C22⋊C414yes—
475C23×C71C2×C22⋊C414yes—
476C23×C71C4×D414yes—
477C23×C71C4×D414yes—
478C23×C71#12014yes—
479C23×C71#12114yes—
480C23×C71#12114yes—
481C23×C71#12314yes—
482C23×C71C23×C411yescharacteristic
483C23×C71C22×D411yescharacteristic
484C23×C71C22×D411yescharacteristic
485C23×C71C22×D411yescharacteristic
486C23×C71C22×D411yescharacteristic
487C23×C71C22×D411yescharacteristic
488C23×C71C2×#4111yescharacteristic
489C23×C71C2×#4111yescharacteristic
490C23×C71C2×#4111yescharacteristic
491C23×C71C2×#4111yescharacteristic
492C23×C71C2×#4111yescharacteristic
493C23×C71H(5,𝔽2)11yescharacteristic
494C23×C71H(5,𝔽2)11yescharacteristic
495C23×C71H(5,𝔽2)11yescharacteristic
496C23×C712−1+411yescharacteristic
497D4×C71—232no—
498D4×C71—416no—
499D4×C71—416no—
500C2×C4×C71—22no—
501C2×C4×C71—22no—
502C2×C4×C71—22no—
503C2×C4×C71—22no—
504C2×C4×C71—22no—
505C2×C4×C71—22no—
506C2×C4×C71—22no—
507C2×C4×C71—22no—
508C2×C4×C71—22no—
509C2×C4×C71—22no—
510C2×C4×C71—22no—
511C2×C4×C71—22no—
512C2×C4×C71—22no—
513C2×C4×C71—22no—
514C2×C4×C71—22no—
515C2×C4×C71—22no—
516C2×C4×C71—22no—
517C2×C4×C71—22no—
518C2×C4×C71—22no—
519C2×C4×C71—22no—
520C2×C4×C71—22no—
521C2×C4×C71—22no—
522C2×C4×C71—22no—
523C2×C4×C71—22no—
524C2×C4×C71—22no—
525C2×C4×C71—22no—
526C2×C4×C71—22no—
527C2×C4×C71—22no—
528C2×C4×C71—22no—
529C2×C4×C71—22no—
530C2×C4×C71—22no—
531C2×C4×C71—22no—
532C2×C4×C71—22no—
533C2×C4×C71—22no—
534C2×C4×C71—22no—
535C2×C4×C71—22no—
536C2×C4×C71—22no—
537C2×C4×C71—22no—
538C2×C4×C71—22no—
539C2×C4×C71—416no—
540C2×C4×C71—416no—
541C2×C4×C71—416no—
542C2×C4×C71—416no—
543C2×C4×C71—41no—
544C2×C4×C71—41no—
545C2×C4×C71—41no—
546C2×C4×C71—41no—
547C2×C4×C71—41no—
548C2×C4×C71—41no—
549C2×C4×C71—41no—
550C2×C4×C71—41no—
551C2×C4×C71—41no—
552C2×C4×C71—41no—
553C2×C4×C71—41no—
554C2×C4×C71—41no—
555C2×C4×C71—41no—
556C2×C4×C71—41no—
557C2×C4×C71—41no—
558C2×C4×C71—41no—
559C2×C4×C71—41no—
560C2×C4×C71—41no—
561C2×C4×C71—41no—
562C2×C4×C71—41no—
563C2×C4×C71—41no—
564C2×C4×C71—41no—
565C2×C4×C71—41no—
566C2×C4×C71—41no—
567C2×C4×C71—41no—
568C2×C4×C71—41no—
569C2×C4×C71—41no—
570C2×C4×C71—41no—
571C2×C4×C71—41no—
572C2×C4×C71—41no—
573C2×C4×C71—41no—
574C2×C4×C71—41no—
575C2×C4×C71—41no—
576C2×C4×C71—41no—
577C2×C4×C71—41no—
578C2×C4×C71—41no—
579C2×C4×C71—41no—
580C2×C4×C71—41no—
581C2×C4×C71—41no—
582C2×C4×C71—41no—
583C2×C4×C71—41no—
584C2×C4×C71—41no—
585C2×C4×C71C2×C22⋊C414yes—
586C2×C4×C71C4×D414yescomplemented
587C2×C4×C71#12114yescomplemented
588C22×C71—24no—
589C22×C71—24no—
590C22×C71—24no—
591C22×C71—24no—
592C22×C71—24no—
593C22×C71—24no—
594C22×C71—24no—
595C22×C71—24no—
596C22×C71—24no—
597C22×C71—24no—
598C22×C71—24no—
599C22×C71—24no—
600C22×C71—24no—
601C22×C71—24no—
602C22×C71—24no—
603C22×C71—24no—
604C22×C71—24no—
605C22×C71—42no—
606C22×C71—42no—
607C22×C71—42no—
608C22×C71—42no—
609C22×C71—42no—
610C22×C71—42no—
611C22×C71—42no—
612C22×C71—42no—
613C22×C71—42no—
614C22×C71—42no—
615C22×C71—42no—
616C22×C71—42no—
617C22×C71—42no—
618C22×C71—42no—
619C22×C71—42no—
620C22×C71—42no—
621C22×C71—42no—
622C22×C71—42no—
623C22×C71—42no—
624C22×C71—81no—
625C22×C71—81no—
626C22×C71—81no—
627C22×C71—81no—
628C22×C71—81no—
629C22×C71—81no—
630C22×C71—81no—
631C22×C71—81no—
632C22×C71#38618yescomplemented
633C22×C71C22×C22⋊C411yescharacteristic
634C22×C71C2×C4×D411yescharacteristic
635C22×C71C2×C4×D411yescharacteristic
636C22×C71C2×C4×D411yescharacteristic
637C22×C71C4×#4111yescharacteristic
638C22×C71#51811yescharacteristic
639C22×C71#52011yescharacteristic
640C22×C71C2×#12011yescharacteristic
641C22×C71C2×#12111yescharacteristic
642C22×C71C2×#12111yescharacteristic
643C22×C71C2×#12111yescharacteristic
644C22×C71C2×#12311yescharacteristic
645C22×C71#52511yescharacteristic
646C22×C71#52911yescharacteristic
647C22×C71#53211yescharacteristic
648C22×C71#53411yescharacteristic
649C22×C71#53711yescharacteristic
650C22×C71#53811yescharacteristic
651C22×C71#53911yescharacteristic
652C22×C71D4211yescharacteristic
653C22×C71D4211yescharacteristic
654C22×C71D4211yescharacteristic
655C22×C71#54611yescharacteristic
656C22×C71#54611yescharacteristic
657C22×C71#54611yescharacteristic
658C22×C71#54611yescharacteristic
659C22×C71#54611yescharacteristic
660C22×C71#54611yescharacteristic
661C22×C71#54711yescharacteristic
662C22×C71#54711yescharacteristic
663C22×C71#54711yescharacteristic
664C22×C71#54811yescharacteristic
665C22×C71#55311yescharacteristic
666C22×C71#55311yescharacteristic
667C22×C71#55311yescharacteristic
668C4×C71—24no—
669C4×C71—24no—
670C4×C71—24no—
671C4×C71—42no—
672C4×C71—42no—
673C4×C71—42no—
674C4×C71—42no—
675C4×C71—42no—
676C4×C71—42no—
677C4×C71—42no—
678C4×C71—81no—
679C4×C71—81no—
680#14023C7111yesmaximal, characteristic, direct product factor, Sylow
681C2×C71—28no—
682C2×C71—44no—
683C2×C71—82no—
684C2×C71C2×#38611yescharacteristic
685C2×C71C4×#12111yescharacteristic
686C2×C71#232511yescharacteristic
687C2×C71D4×C22⋊C411yescharacteristic
688C2×C71#233911yescharacteristic
689C2×C71#236111yescharacteristic
690C2×C71#236411yescharacteristic
691C2×C71#241011yescharacteristic
692C2×C71#241611yescharacteristic
693C2×C71#242411yescharacteristic
694C2×C71#242511yescharacteristic
695C2×C71#243011yescharacteristic
696C2×C71#244311yescharacteristic
697C2×C71#244411yescharacteristic
698C2×C71#254311yescharacteristic
699C22×#121C2×C7111yescharacteristic
700C22×C4×D4C2×C7111yescharacteristic, complemented
701C2×#386C2×C7111yescharacteristic, complemented
702C2×#386C2×C7111yescharacteristic, complemented
703C2×#386C2×C7111yescharacteristic, complemented
704C2×#386C2×C7111yescharacteristic, complemented
705C22×#95C2×C7111yescharacteristic, complemented
706#1441C2×C7111yescharacteristic, complemented
707#1440C2×C7111yescharacteristic, complemented
708#1439C2×C7111yescharacteristic, complemented
709#1438C2×C7111yescharacteristic, complemented
710#1437C2×C7111yescharacteristic, complemented
711#1436C2×C7111yescharacteristic, complemented
712C22⋊#95C2×C7111yescharacteristic, complemented
713C22⋊#95C2×C7111yescharacteristic, complemented
714C71#1402311yescharacteristic, direct product factor, Sylow
715C23×D4C22×C7111yescharacteristic
716C23×D4C22×C7111yescharacteristic
717C23×D4C22×C7111yescharacteristic
718C24×C4C22×C7111yescharacteristic
719C24×C4C22×C7111yescharacteristic
720C24×C4C22×C7111yescharacteristic
721C24×C4C22×C7111yescharacteristic
722C2×#121—24no—
723C2×#121—24no—
724C2×#121C4×C7118yescomplemented
725C2×C4×D4—24no—
726C2×C4×D4—24no—
727C2×C4×D4—24no—
728C22×C4⋊C4C22×C7111yescharacteristic
729C22×C4⋊C4C22×C7111yescharacteristic
730C22×C22⋊C4C22×C7111yescharacteristic
731C22×C22⋊C4C22×C7111yescharacteristic
732C22×C22⋊C4C22×C7111yescharacteristic
733C22×C22⋊C4C22×C7111yescharacteristic
734C22×C22⋊C4C22×C7111yescharacteristic
735C22×C22⋊C4C22×C7111yescharacteristic
736C22×C22⋊C4C22×C7111yescharacteristic
737C22×C22⋊C4C22×C7111yescharacteristic
738C22×C22⋊C4C22×C7111yescharacteristic
739C22×C22⋊C4C22×C7111yescharacteristic
740C22×C22⋊C4C22×C7111yescharacteristic
741C22×C42C22×C7111yescharacteristic
742#386—24no—
743#386—24no—
744#386—24no—
745#386—24no—
746C2×#95—24no—
747C2×#95C22×C7111yescharacteristic
748C2×#95C22×C7111yescharacteristic
749C2×#95C22×C7111yescharacteristic
750C2×#95C22×C7111yescharacteristic
751C2×#95C22×C7111yescharacteristic
752C2×#95C22×C7111yescharacteristic
753C2×#95C22×C7111yescharacteristic
754C2×#95C22×C7111yescharacteristic
755C2×#95C22×C7111yescharacteristic
756C2×#95C22×C7111yescharacteristic
757C2×#95C22×C7111yescharacteristic
758C2×#95C22×C7111yescharacteristic
759C2×#95C22×C7111yescharacteristic
760C2×#95C22×C7111yescharacteristic
761C25C23×C7111yescharacteristic
762C25C23×C7111yescharacteristic
763C25C23×C7111yescharacteristic
764C22×D4—22no—
765C22×D4—22no—
766C22×D4—22no—
767C22×D4—22no—
768C22×D4—22no—
769C22×D4—22no—
770C22×D4—22no—
771C22×D4—22no—
772C22×D4—22no—
773C22×D4—22no—
774C22×D4—22no—
775C22×D4—22no—
776C22×D4—22no—
777C22×D4—22no—
778C22×D4—41no—
779C22×D4—41no—
780C22×D4C2×C4×C7114yes—
781C22×D4C2×C4×C7114yescomplemented
782C22×D4C2×C4×C7114yescomplemented
783C22×D4D4×C7114yes—
784C22×D4D4×C7114yes—
785C23×C4—22no—
786C23×C4—22no—
787C23×C4—22no—
788C23×C4—22no—
789C23×C4—22no—
790C23×C4—22no—
791C23×C4—22no—
792C23×C4—22no—
793C23×C4—22no—
794C23×C4—22no—
795C23×C4—22no—
796C23×C4—22no—
797C23×C4—22no—
798C23×C4—22no—
799C23×C4—22no—
800C23×C4—22no—
801C23×C4—22no—
802C23×C4—22no—
803C23×C4—41no—
804C23×C4—41no—
805C23×C4—41no—
806C23×C4—41no—
807C23×C4—41no—
808C23×C4—41no—
809C23×C4—41no—
810C23×C4—41no—
811C23×C4C2×C4×C7114yescomplemented
812C23×C4D4×C7114yescomplemented
813C23×C4C23×C7111yescharacteristic
814C23×C4C23×C7111yescharacteristic
815C23×C4C23×C7111yescharacteristic
816C23×C4C23×C7111yescharacteristic
817C23×C4C23×C7111yescharacteristic
818C23×C4C23×C7111yescharacteristic
819C23×C4C23×C7111yescharacteristic
820C23×C4C23×C7111yescharacteristic
821C23×C4C23×C7111yescharacteristic
822C23×C4C23×C7111yescharacteristic
823C23×C4C23×C7111yescharacteristic
824C23×C4C23×C7111yescharacteristic
825#121—232no—
826C4×D4—232no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—22no—
830C2×C4⋊C4—22no—
831C2×C4⋊C4—22no—
832C2×C4⋊C4C2×C4×C7114yescomplemented
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4C2×C4×C7114yescomplemented
864C2×C22⋊C4C2×C4×C7114yescomplemented
865C2×C22⋊C4D4×C7114yescomplemented
866C2×C42—22no—
867C2×C42—22no—
868C2×C42—22no—
869#95—22no—
870#95—22no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—41no—
881#95—41no—
882#95D4×C7114yescomplemented
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24C22×C4×C7112yes—
918C24C22×C4×C7112yes—
919C24C22×C4×C7112yes—
920C24C2×D4×C7112yes—
921C24C2×D4×C7112yes—
922C24C2×D4×C7112yes—
923C24C2×D4×C7112yes—
924C24C2×D4×C7112yes—
925C24C2×D4×C7112yes—
926C24#41×C7112yes—
927C24#41×C7112yes—
928C24C24×C7111yescharacteristic
929C2×D4—28no—
930C2×D4—28no—
931C2×D4—28no—
932C2×D4—28no—
933C2×D4—28no—
934C2×D4—28no—
935C2×D4—28no—
936C2×D4—28no—
937C2×D4—28no—
938C2×D4—28no—
939C2×D4—28no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—44no—
947C2×D4—44no—
948C2×D4—44no—
949C2×D4C22⋊C4×C71116yescomplemented
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—28no—
963C22×C4—28no—
964C22×C4—28no—
965C22×C4—28no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—28no—
1009C22×C4—28no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4C22×C4×C7112yes—
1047C22×C4C22×C4×C7112yes—
1048C22×C4C22×C4×C7112yes—
1049C22×C4C22×C4×C7112yes—
1050C22×C4C2×D4×C7112yes—
1051C22×C4C2×D4×C7112yes—
1052C22×C4C2×D4×C7112yes—
1053C22×C4C2×D4×C7112yes—
1054C22×C4C2×D4×C7112yes—
1055C22×C4C2×D4×C7112yes—
1056C22×C4C2×D4×C7112yes—
1057C22×C4C2×D4×C7112yes—
1058C22×C4C2×D4×C7112yes—
1059C22×C4#41×C7112yes—
1060C22×C4#41×C7112yes—
1061C22×C4#41×C7112yes—
1062C4⋊C4—28no—
1063C4⋊C4—28no—
1064C22⋊C4—28no—
1065C22⋊C4—28no—
1066C22⋊C4—28no—
1067C22⋊C4—28no—
1068C22⋊C4—44no—
1069C22⋊C4—44no—
1070C22⋊C4—44no—
1071C22⋊C4—44no—
1072C22⋊C4—44no—
1073C22⋊C4—44no—
1074C22⋊C4—44no—
1075C42—28no—
1076C23—22no—
1077C23—22no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—22no—
1082C23—22no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—22no—
1088C23—22no—
1089C23—22no—
1090C23—22no—
1091C23—22no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—22no—
1099C23—22no—
1100C23—22no—
1101C23—22no—
1102C23—22no—
1103C23—22no—
1104C23—22no—
1105C23—22no—
1106C23—22no—
1107C23—22no—
1108C23—22no—
1109C23—22no—
1110C23—22no—
1111C23—22no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23—41no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23C2×C22⋊C4×C7114yes—
1174C23C2×C22⋊C4×C7114yes—
1175C23C4×D4×C7114yes—
1176C23C4×D4×C7114yes—
1177C23#120×C7114yes—
1178C23#121×C7114yes—
1179C23#121×C7114yes—
1180C23#123×C7114yes—
1181C23C23×C4×C7111yescharacteristic
1182C23C22×D4×C7111yescharacteristic
1183C23C22×D4×C7111yescharacteristic
1184C23C22×D4×C7111yescharacteristic
1185C23C22×D4×C7111yescharacteristic
1186C23C22×D4×C7111yescharacteristic
1187C23C2×#41×C7111yescharacteristic
1188C23C2×#41×C7111yescharacteristic
1189C23C2×#41×C7111yescharacteristic
1190C23C2×#41×C7111yescharacteristic
1191C23C2×#41×C7111yescharacteristic
1192C23H(5,𝔽2)×C7111yescharacteristic
1193C23H(5,𝔽2)×C7111yescharacteristic
1194C23H(5,𝔽2)×C7111yescharacteristic
1195C232−1+4×C7111yescharacteristic
1196D4—232no—
1197D4—416no—
1198D4—416no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—416no—
1239C2×C4—416no—
1240C2×C4—416no—
1241C2×C4—416no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4C2×C22⋊C4×C7114yes—
1285C2×C4C4×D4×C7114yescomplemented
1286C2×C4#121×C7114yescomplemented
1287C22—24no—
1288C22—24no—
1289C22—24no—
1290C22—24no—
1291C22—24no—
1292C22—24no—
1293C22—24no—
1294C22—24no—
1295C22—24no—
1296C22—24no—
1297C22—24no—
1298C22—24no—
1299C22—24no—
1300C22—24no—
1301C22—24no—
1302C22—24no—
1303C22—24no—
1304C22—42no—
1305C22—42no—
1306C22—42no—
1307C22—42no—
1308C22—42no—
1309C22—42no—
1310C22—42no—
1311C22—42no—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—42no—
1317C22—42no—
1318C22—42no—
1319C22—42no—
1320C22—42no—
1321C22—42no—
1322C22—42no—
1323C22—81no—
1324C22—81no—
1325C22—81no—
1326C22—81no—
1327C22—81no—
1328C22—81no—
1329C22—81no—
1330C22—81no—
1331C22#386×C7118yescomplemented
1332C22C22×C22⋊C4×C7111yescharacteristic
1333C22C2×C4×D4×C7111yescharacteristic
1334C22C2×C4×D4×C7111yescharacteristic
1335C22C2×C4×D4×C7111yescharacteristic
1336C22C4×#41×C7111yescharacteristic
1337C22#518×C7111yescharacteristic
1338C22#520×C7111yescharacteristic
1339C22C2×#120×C7111yescharacteristic
1340C22C2×#121×C7111yescharacteristic
1341C22C2×#121×C7111yescharacteristic
1342C22C2×#121×C7111yescharacteristic
1343C22C2×#123×C7111yescharacteristic
1344C22#525×C7111yescharacteristic
1345C22#529×C7111yescharacteristic
1346C22#532×C7111yescharacteristic
1347C22#534×C7111yescharacteristic
1348C22#537×C7111yescharacteristic
1349C22#538×C7111yescharacteristic
1350C22#539×C7111yescharacteristic
1351C22D42×C7111yescharacteristic
1352C22D42×C7111yescharacteristic
1353C22D42×C7111yescharacteristic
1354C22#546×C7111yescharacteristic
1355C22#546×C7111yescharacteristic
1356C22#546×C7111yescharacteristic
1357C22#546×C7111yescharacteristic
1358C22#546×C7111yescharacteristic
1359C22#546×C7111yescharacteristic
1360C22#547×C7111yescharacteristic
1361C22#547×C7111yescharacteristic
1362C22#547×C7111yescharacteristic
1363C22#548×C7111yescharacteristic
1364C22#553×C7111yescharacteristic
1365C22#553×C7111yescharacteristic
1366C22#553×C7111yescharacteristic
1367C4—24no—
1368C4—24no—
1369C4—24no—
1370C4—42no—
1371C4—42no—
1372C4—42no—
1373C4—42no—
1374C4—42no—
1375C4—42no—
1376C4—42no—
1377C4—81no—
1378C4—81no—
1379C2—28no—
1380C2—44no—
1381C2—82no—
1382C2C2×#386×C7111yescharacteristic
1383C2C4×#121×C7111yescharacteristic
1384C2C71×#232511yescharacteristic
1385C2D4×C22⋊C4×C7111yescharacteristic
1386C2C71×#233911yescharacteristic
1387C2C71×#236111yescharacteristic
1388C2C71×#236411yescharacteristic
1389C2C71×#241011yescharacteristic
1390C2C71×#241611yescharacteristic
1391C2C71×#242411yescharacteristic
1392C2C71×#242511yescharacteristic
1393C2C71×#243011yescharacteristic
1394C2C71×#244311yescharacteristic
1395C2C71×#244411yescharacteristic
1396C2C71×#254311yescharacteristic
subgroupG/H
center, socleC24×C71C24
commutatorC23C23×C4×C71
Frattini, cosocleC24C24×C71
prime radicalC22×#121×C71C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C71 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C4×D4×C71C2semidirect
3. C2×#386×C71C2semidirect
4. C2×#386×C71C2semidirect
5. C2×#386×C71C2semidirect
6. C2×#386×C71C2semidirect
7. C22×#95×C71C2semidirect
8. C71×#1441C2semidirect
9. C71×#1440C2semidirect
10. C71×#1439C2semidirect
11. C71×#1438C2semidirect
12. C71×#1437C2semidirect
13. C71×#1436C2semidirect
14. C71×C22⋊#95C2semidirect
15. C71×C22⋊#95C2semidirect
25. C2×#121×C71C4semidirect
82. C22×D4×C71C2×C4semidirect
83. C22×D4×C71C2×C4semidirect
112. C23×C4×C71C2×C4semidirect
113. C23×C4×C71D4semidirect
133. C2×C4⋊C4×C71C2×C4semidirect
164. C2×C22⋊C4×C71C2×C4semidirect
165. C2×C22⋊C4×C71C2×C4semidirect
166. C2×C22⋊C4×C71D4semidirect
183. #95×C71D4semidirect
250. C2×D4×C71C22⋊C4semidirect
586. C2×C4×C71C4×D4semidirect
587. C2×C4×C71#121semidirect
632. C22×C71#386semidirect
680. #14023C71direct (N × H)
700. C22×C4×D4C2×C71semidirect
701. C2×#386C2×C71semidirect
702. C2×#386C2×C71semidirect
703. C2×#386C2×C71semidirect
704. C2×#386C2×C71semidirect
705. C22×#95C2×C71semidirect
706. #1441C2×C71semidirect
707. #1440C2×C71semidirect
708. #1439C2×C71semidirect
709. #1438C2×C71semidirect
710. #1437C2×C71semidirect
711. #1436C2×C71semidirect
712. C22⋊#95C2×C71semidirect
713. C22⋊#95C2×C71semidirect
714. C71#14023direct (N × H)
724. C2×#121C4×C71semidirect
781. C22×D4C2×C4×C71semidirect
782. C22×D4C2×C4×C71semidirect
811. C23×C4C2×C4×C71semidirect
812. C23×C4D4×C71semidirect
832. C2×C4⋊C4C2×C4×C71semidirect
863. C2×C22⋊C4C2×C4×C71semidirect
864. C2×C22⋊C4C2×C4×C71semidirect
865. C2×C22⋊C4D4×C71semidirect
882. #95D4×C71semidirect
949. C2×D4C22⋊C4×C71semidirect
1285. C2×C4C4×D4×C71semidirect
1286. C2×C4#121×C71semidirect
1331. C22#386×C71semidirect

Maximal subgroups

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

subgroupindex
C22×#121×C712
C22×C4×D4×C712
C2×#386×C712
C22×#95×C712
C71×#14412
C71×#14402
C71×#14392
C71×#14382
C71×#14372
C71×#14362
C71×C22⋊#952
#1402371