Finite Group Databasebeta

← C71×#16291 #31837163

Subgroups — C71×#16291 #31837163

Order 18176.

2478 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#394×C71C211yesmaximal, characteristic, complemented
2C2×#394×C71C211yesmaximal, characteristic, complemented
3C2×#392×C71C211yesmaximal, characteristic, complemented
4C2×#392×C71C211yesmaximal, characteristic, complemented
5C2×#392×C71C211yesmaximal, characteristic, complemented
6C2×#392×C71C211yesmaximal, characteristic, complemented
7C2×#390×C71C211yesmaximal, characteristic, complemented
8C2×#388×C71C211yesmaximal, characteristic, complemented
9C71×#1442C211yesmaximal, characteristic, complemented
10C71×#1440C211yesmaximal, characteristic, complemented
11C71×#1439C211yesmaximal, characteristic, complemented
12C71×#1438C211yesmaximal, characteristic, complemented
13C71×#1438C211yesmaximal, characteristic, complemented
14C71×#1438C211yesmaximal, characteristic, complemented
15C71×#1437C211yesmaximal, characteristic, complemented
16C23×D4×C71C2211yescharacteristic
17C23×D4×C71C2211yescharacteristic
18C23×D4×C71C2211yescharacteristic
19C23×D4×C71C2211yescharacteristic
20C23×D4×C71C2211yescharacteristic
21C23×D4×C71C2211yescharacteristic
22C22×C4⋊C4×C71C2211yescharacteristic
23C22×C4⋊C4×C71C2211yescharacteristic
24C22×C22⋊C4×C71C2211yescharacteristic
25C22×C22⋊C4×C71C2211yescharacteristic
26C22×C22⋊C4×C71C2211yescharacteristic
27C22×C22⋊C4×C71C2211yescharacteristic
28C22×C22⋊C4×C71C2211yescharacteristic
29C22×C22⋊C4×C71C2211yescharacteristic
30C22×C22⋊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×C42×C71C2211yescharacteristic
41#394×C71—24no—
42#394×C71—24no—
43#392×C71—24no—
44#392×C71—24no—
45#392×C71—24no—
46#392×C71—24no—
47#390×C71—24no—
48#388×C71—24no—
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
59C25×C71C2311yescharacteristic
60C25×C71C2311yescharacteristic
61C25×C71C2311yescharacteristic
62C25×C71C2311yescharacteristic
63C22×D4×C71—22no—
64C22×D4×C71—22no—
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—22no—
80C22×D4×C71—22no—
81C22×D4×C71—22no—
82C22×D4×C71—22no—
83C22×D4×C71—41no—
84C22×D4×C71—41no—
85C22×D4×C71—41no—
86C22×D4×C71—41no—
87C22×D4×C71—41no—
88C22×D4×C71—41no—
89C22×D4×C71—41no—
90C22×D4×C71—41no—
91C22×D4×C71—41no—
92C22×D4×C71—41no—
93C22×D4×C71—41no—
94C22×D4×C71—41no—
95C22×D4×C71—41no—
96C22×D4×C71—41no—
97C22×D4×C71—41no—
98C22×D4×C71—41no—
99C22×D4×C71—41no—
100C22×D4×C71—41no—
101C22×D4×C71—41no—
102C22×D4×C71—41no—
103C22×D4×C71—41no—
104C22×D4×C71—41no—
105C23×C4×C71C2311yescharacteristic
106C23×C4×C71C2311yescharacteristic
107C23×C4×C71C2311yescharacteristic
108C23×C4×C71C2311yescharacteristic
109C23×C4×C71C2311yescharacteristic
110C23×C4×C71C2311yescharacteristic
111C23×C4×C71C2311yescharacteristic
112C23×C4×C71C2311yescharacteristic
113C23×C4×C71C2311yescharacteristic
114C23×C4×C71C2311yescharacteristic
115C23×C4×C71C2311yescharacteristic
116C2×C4⋊C4×C71—22no—
117C2×C4⋊C4×C71—22no—
118C2×C4⋊C4×C71—22no—
119C2×C4⋊C4×C71—22no—
120C2×C4⋊C4×C71—41no—
121C2×C4⋊C4×C71—41no—
122C2×C22⋊C4×C71—22no—
123C2×C22⋊C4×C71—22no—
124C2×C22⋊C4×C71—22no—
125C2×C22⋊C4×C71—22no—
126C2×C22⋊C4×C71—22no—
127C2×C22⋊C4×C71—22no—
128C2×C22⋊C4×C71—22no—
129C2×C22⋊C4×C71—22no—
130C2×C22⋊C4×C71—22no—
131C2×C22⋊C4×C71—22no—
132C2×C22⋊C4×C71—22no—
133C2×C22⋊C4×C71—22no—
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—41no—
148C2×C22⋊C4×C71—41no—
149C2×C22⋊C4×C71—41no—
150C2×C22⋊C4×C71—41no—
151C2×C22⋊C4×C71—41no—
152C2×C22⋊C4×C71—41no—
153C2×C22⋊C4×C71—41no—
154C2×C22⋊C4×C71—41no—
155C2×C22⋊C4×C71—41no—
156C2×C22⋊C4×C71—41no—
157C2×C22⋊C4×C71—41no—
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×C71—41no—
165C2×C22⋊C4×C71—41no—
166C2×C22⋊C4×C71—41no—
167C2×C22⋊C4×C71D414yescomplemented
168C2×C22⋊C4×C71D414yescomplemented
169C2×C22⋊C4×C71D414yescomplemented
170C2×C42×C71—22no—
171C2×C42×C71—22no—
172C2×C42×C71—41no—
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—41no—
180#95×C71—41no—
181#95×C71—41no—
182#95×C71D414yescomplemented
183C24×C71—21no—
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×C71—21no—
219C24×C71—21no—
220C24×C71—21no—
221C24×C71—21no—
222C24×C71—21no—
223C24×C71—21no—
224C24×C71—21no—
225C24×C71—21no—
226C24×C71—21no—
227C24×C71—21no—
228C24×C71—21no—
229C24×C71—21no—
230C24×C71—21no—
231C24×C71—21no—
232C24×C71—21no—
233C24×C71—21no—
234C24×C71—21no—
235C24×C71—21no—
236C24×C71—21no—
237C24×C71—21no—
238C24×C71—21no—
239C24×C71C2×D412yes—
240C24×C71C2×D412yes—
241C24×C71C2×D412yes—
242C24×C71#4112yes—
243C24×C71C2411yescharacteristic
244C2×D4×C71—28no—
245C2×D4×C71—44no—
246C2×D4×C71—44no—
247C2×D4×C71—44no—
248C2×D4×C71—44no—
249C2×D4×C71—44no—
250C2×D4×C71—44no—
251C2×D4×C71—44no—
252C2×D4×C71—44no—
253C2×D4×C71—44no—
254C2×D4×C71—44no—
255C2×D4×C71—44no—
256C2×D4×C71—44no—
257C2×D4×C71—44no—
258C2×D4×C71—44no—
259C2×D4×C71—44no—
260C2×D4×C71—44no—
261C2×D4×C71—44no—
262C2×D4×C71—44no—
263C2×D4×C71—44no—
264C2×D4×C71—44no—
265C2×D4×C71—44no—
266C2×D4×C71—44no—
267C2×D4×C71—44no—
268C2×D4×C71—44no—
269C2×D4×C71—44no—
270C2×D4×C71—44no—
271C2×D4×C71—44no—
272C2×D4×C71—44no—
273C2×D4×C71—44no—
274C2×D4×C71—44no—
275C2×D4×C71—44no—
276C2×D4×C71—44no—
277C2×D4×C71—44no—
278C2×D4×C71—44no—
279C2×D4×C71—44no—
280C2×D4×C71—44no—
281C2×D4×C71—44no—
282C2×D4×C71—44no—
283C2×D4×C71—44no—
284C2×D4×C71—44no—
285C2×D4×C71—44no—
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—21no—
310C22×C4×C71—21no—
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—21no—
326C22×C4×C71—21no—
327C22×C4×C71—21no—
328C22×C4×C71—21no—
329C22×C4×C71—21no—
330C22×C4×C71—21no—
331C22×C4×C71—21no—
332C22×C4×C71—21no—
333C22×C4×C71—21no—
334C22×C4×C71—21no—
335C22×C4×C71—21no—
336C22×C4×C71—21no—
337C22×C4×C71—21no—
338C22×C4×C71—21no—
339C22×C4×C71—21no—
340C22×C4×C71—21no—
341C22×C4×C71—21no—
342C22×C4×C71—21no—
343C22×C4×C71—21no—
344C22×C4×C71—21no—
345C22×C4×C71—21no—
346C22×C4×C71—21no—
347C22×C4×C71—21no—
348C22×C4×C71—21no—
349C22×C4×C71—21no—
350C22×C4×C71—21no—
351C22×C4×C71—21no—
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×C71C2×D412yes—
361C22×C4×C71#4112yes—
362C22×C4×C71#4112yes—
363C4⋊C4×C71—44no—
364C4⋊C4×C71—44no—
365C22⋊C4×C71—28no—
366C22⋊C4×C71—44no—
367C22⋊C4×C71—44no—
368C22⋊C4×C71—44no—
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—
376C22⋊C4×C71—44no—
377C22⋊C4×C71—44no—
378C22⋊C4×C71—44no—
379C22⋊C4×C71—44no—
380C22⋊C4×C71—44no—
381C42×C71—44no—
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—41no—
411C23×C71—41no—
412C23×C71—41no—
413C23×C71—41no—
414C23×C71—41no—
415C23×C71—41no—
416C23×C71—41no—
417C23×C71—41no—
418C23×C71—41no—
419C23×C71—41no—
420C23×C71—41no—
421C23×C71—41no—
422C23×C71—41no—
423C23×C71—41no—
424C23×C71—41no—
425C23×C71—41no—
426C23×C71—41no—
427C23×C71—41no—
428C23×C71—41no—
429C23×C71—41no—
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×C71—41no—
475C23×C71—41no—
476C23×C71—41no—
477C23×C71—41no—
478C23×C71—41no—
479C23×C71—41no—
480C23×C71—41no—
481C23×C71—41no—
482C23×C71—41no—
483C23×C71—41no—
484C23×C71—41no—
485C23×C71—41no—
486C23×C71—41no—
487C23×C71—41no—
488C23×C71—41no—
489C23×C71—41no—
490C23×C71—41no—
491C23×C71—41no—
492C23×C71—41no—
493C23×C71—41no—
494C23×C71—41no—
495C23×C71—41no—
496C23×C71—41no—
497C23×C71—41no—
498C23×C71—41no—
499C23×C71—41no—
500C23×C71—41no—
501C23×C71—41no—
502C23×C71—41no—
503C23×C71—41no—
504C23×C71—41no—
505C23×C71—41no—
506C23×C71—41no—
507C23×C71—41no—
508C23×C71—41no—
509C23×C71—41no—
510C23×C71—41no—
511C23×C71—41no—
512C23×C71—41no—
513C23×C71—41no—
514C23×C71—41no—
515C23×C71—41no—
516C23×C71—41no—
517C23×C71—41no—
518C23×C71—41no—
519C23×C71—41no—
520C23×C71—41no—
521C23×C71—41no—
522C23×C71C22×D411yescharacteristic
523C23×C71C22×D411yescharacteristic
524C23×C71C22×D411yescharacteristic
525C23×C71C22×D411yescharacteristic
526C23×C71C2×#4111yescharacteristic
527C23×C71C2×#4111yescharacteristic
528C23×C71C2×#4111yescharacteristic
529C23×C71H(5,𝔽2)11yescharacteristic
530C23×C71H(5,𝔽2)11yescharacteristic
531C23×C71H(5,𝔽2)11yescharacteristic
532C23×C71H(5,𝔽2)11yescharacteristic
533C23×C71H(5,𝔽2)11yescharacteristic
534C23×C71H(5,𝔽2)11yescharacteristic
535C23×C71H(5,𝔽2)11yescharacteristic
536C23×C71H(5,𝔽2)11yescharacteristic
537D4×C71—416no—
538D4×C71—416no—
539D4×C71—416no—
540D4×C71—416no—
541D4×C71—416no—
542D4×C71—416no—
543C2×C4×C71—22no—
544C2×C4×C71—22no—
545C2×C4×C71—22no—
546C2×C4×C71—22no—
547C2×C4×C71—22no—
548C2×C4×C71—22no—
549C2×C4×C71—22no—
550C2×C4×C71—22no—
551C2×C4×C71—22no—
552C2×C4×C71—22no—
553C2×C4×C71—22no—
554C2×C4×C71—22no—
555C2×C4×C71—22no—
556C2×C4×C71—22no—
557C2×C4×C71—22no—
558C2×C4×C71—22no—
559C2×C4×C71—22no—
560C2×C4×C71—22no—
561C2×C4×C71—22no—
562C2×C4×C71—22no—
563C2×C4×C71—22no—
564C2×C4×C71—22no—
565C2×C4×C71—22no—
566C2×C4×C71—22no—
567C2×C4×C71—22no—
568C2×C4×C71—22no—
569C2×C4×C71—22no—
570C2×C4×C71—22no—
571C2×C4×C71—22no—
572C2×C4×C71—22no—
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×C71—41no—
586C2×C4×C71—41no—
587C2×C4×C71—41no—
588C2×C4×C71—41no—
589C2×C4×C71—41no—
590C2×C4×C71—41no—
591C2×C4×C71—41no—
592C2×C4×C71—41no—
593C2×C4×C71—41no—
594C2×C4×C71—41no—
595C2×C4×C71—41no—
596C2×C4×C71—41no—
597C2×C4×C71—41no—
598C2×C4×C71—41no—
599C2×C4×C71—41no—
600C2×C4×C71—41no—
601C2×C4×C71—41no—
602C2×C4×C71—41no—
603C2×C4×C71—41no—
604C2×C4×C71—41no—
605C2×C4×C71—41no—
606C2×C4×C71—41no—
607C2×C4×C71—41no—
608C2×C4×C71—41no—
609C2×C4×C71—41no—
610C2×C4×C71—41no—
611C2×C4×C71—41no—
612C2×C4×C71—41no—
613C2×C4×C71—41no—
614C2×C4×C71—41no—
615C2×C4×C71—41no—
616C2×C4×C71—41no—
617C2×C4×C71—41no—
618C2×C4×C71—41no—
619C2×C4×C71#12114yes—
620C22×C71—42no—
621C22×C71—42no—
622C22×C71—42no—
623C22×C71—42no—
624C22×C71—42no—
625C22×C71—42no—
626C22×C71—42no—
627C22×C71—42no—
628C22×C71—42no—
629C22×C71—42no—
630C22×C71—42no—
631C22×C71—42no—
632C22×C71—42no—
633C22×C71—42no—
634C22×C71—42no—
635C22×C71—42no—
636C22×C71—42no—
637C22×C71—42no—
638C22×C71—42no—
639C22×C71—42no—
640C22×C71—42no—
641C22×C71—42no—
642C22×C71—42no—
643C22×C71—42no—
644C22×C71—42no—
645C22×C71—42no—
646C22×C71—42no—
647C22×C71—42no—
648C22×C71—81no—
649C22×C71—81no—
650C22×C71—81no—
651C22×C71—81no—
652C22×C71—81no—
653C22×C71—81no—
654C22×C71—81no—
655C22×C71—81no—
656C22×C71—81no—
657C22×C71—81no—
658C22×C71—81no—
659C22×C71—81no—
660C22×C71—81no—
661C22×C71—81no—
662C22×C71—81no—
663C22×C71—81no—
664C22×C71—81no—
665C22×C71—81no—
666C22×C71—81no—
667C22×C71—81no—
668C22×C71—81no—
669C22×C71—81no—
670C22×C71—81no—
671C22×C71—81no—
672C22×C71—81no—
673C22×C71—81no—
674C22×C71—81no—
675C22×C71—81no—
676C22×C71—81no—
677C22×C71—81no—
678C22×C71—81no—
679C22×C71—81no—
680C22×C71C2×#12111yescharacteristic
681C22×C71#52511yescharacteristic
682C22×C71#53211yescharacteristic
683C22×C71#53411yescharacteristic
684C22×C71#53411yescharacteristic
685C22×C71#53511yescharacteristic
686C22×C71#53511yescharacteristic
687C22×C71#53511yescharacteristic
688C22×C71#53511yescharacteristic
689C22×C71#53511yescharacteristic
690C22×C71#53511yescharacteristic
691C22×C71#53811yescharacteristic
692C22×C71#53811yescharacteristic
693C22×C71#53811yescharacteristic
694C22×C71#53811yescharacteristic
695C22×C71#54011yescharacteristic
696C22×C71#54011yescharacteristic
697C22×C71#54011yescharacteristic
698C22×C71#54011yescharacteristic
699C22×C71D4211yescharacteristic
700C22×C71D4211yescharacteristic
701C22×C71D4211yescharacteristic
702C22×C71D4211yescharacteristic
703C22×C71D4211yescharacteristic
704C22×C71#54611yescharacteristic
705C22×C71#54611yescharacteristic
706C22×C71#54611yescharacteristic
707C22×C71#54611yescharacteristic
708C22×C71#54611yescharacteristic
709C22×C71#55011yescharacteristic
710C22×C71#55311yescharacteristic
711C22×C71#56011yescharacteristic
712C22×C71#56011yescharacteristic
713C22×C71#56011yescharacteristic
714C22×C71H(3,𝔽4)11yescharacteristic
715C4×C71—24no—
716C4×C71—42no—
717C4×C71—42no—
718C4×C71—42no—
719C4×C71—42no—
720C4×C71—42no—
721C4×C71—42no—
722C4×C71—42no—
723C4×C71—42no—
724C4×C71—81no—
725C4×C71—81no—
726#16291C7111yesmaximal, characteristic, direct product factor, Sylow
727C2×C71—82no—
728C2×C71—82no—
729C2×C71—82no—
730C2×C71—82no—
731C2×C71#242411yescharacteristic
732C2×C71#242811yescharacteristic
733C2×C71#246411yescharacteristic
734C2×C71#261911yescharacteristic
735C2×C71#263511yescharacteristic
736C2×C71#266111yescharacteristic
737C2×C71#266911yescharacteristic
738C2×C71#266911yescharacteristic
739C2×C71#267011yescharacteristic
740C2×C71#267011yescharacteristic
741C2×C71#267311yescharacteristic
742C2×C71#267811yescharacteristic
743C2×C71#270311yescharacteristic
744C2×C71#271411yescharacteristic
745C2×C71#282811yescharacteristic
746C2×#394C2×C7111yescharacteristic, complemented
747C2×#394C2×C7111yescharacteristic, complemented
748C2×#392C2×C7111yescharacteristic, complemented
749C2×#392C2×C7111yescharacteristic, complemented
750C2×#392C2×C7111yescharacteristic, complemented
751C2×#392C2×C7111yescharacteristic, complemented
752C2×#390C2×C7111yescharacteristic, complemented
753C2×#388C2×C7111yescharacteristic, complemented
754#1442C2×C7111yescharacteristic, complemented
755#1440C2×C7111yescharacteristic, complemented
756#1439C2×C7111yescharacteristic, complemented
757#1438C2×C7111yescharacteristic, complemented
758#1438C2×C7111yescharacteristic, complemented
759#1438C2×C7111yescharacteristic, complemented
760#1437C2×C7111yescharacteristic, complemented
761C71#1629111yescharacteristic, direct product factor, Sylow
762C23×D4C22×C7111yescharacteristic
763C23×D4C22×C7111yescharacteristic
764C23×D4C22×C7111yescharacteristic
765C23×D4C22×C7111yescharacteristic
766C23×D4C22×C7111yescharacteristic
767C23×D4C22×C7111yescharacteristic
768C22×C4⋊C4C22×C7111yescharacteristic
769C22×C4⋊C4C22×C7111yescharacteristic
770C22×C22⋊C4C22×C7111yescharacteristic
771C22×C22⋊C4C22×C7111yescharacteristic
772C22×C22⋊C4C22×C7111yescharacteristic
773C22×C22⋊C4C22×C7111yescharacteristic
774C22×C22⋊C4C22×C7111yescharacteristic
775C22×C22⋊C4C22×C7111yescharacteristic
776C22×C22⋊C4C22×C7111yescharacteristic
777C22×C22⋊C4C22×C7111yescharacteristic
778C22×C22⋊C4C22×C7111yescharacteristic
779C22×C22⋊C4C22×C7111yescharacteristic
780C22×C22⋊C4C22×C7111yescharacteristic
781C22×C22⋊C4C22×C7111yescharacteristic
782C22×C22⋊C4C22×C7111yescharacteristic
783C22×C22⋊C4C22×C7111yescharacteristic
784C22×C22⋊C4C22×C7111yescharacteristic
785C22×C22⋊C4C22×C7111yescharacteristic
786C22×C42C22×C7111yescharacteristic
787#394—24no—
788#394—24no—
789#392—24no—
790#392—24no—
791#392—24no—
792#392—24no—
793#390—24no—
794#388—24no—
795C2×#95C22×C7111yescharacteristic
796C2×#95C22×C7111yescharacteristic
797C2×#95C22×C7111yescharacteristic
798C2×#95C22×C7111yescharacteristic
799C2×#95C22×C7111yescharacteristic
800C2×#95C22×C7111yescharacteristic
801C2×#95C22×C7111yescharacteristic
802C2×#95C22×C7111yescharacteristic
803C2×#95C22×C7111yescharacteristic
804C2×#95C22×C7111yescharacteristic
805C25C23×C7111yescharacteristic
806C25C23×C7111yescharacteristic
807C25C23×C7111yescharacteristic
808C25C23×C7111yescharacteristic
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—22no—
829C22×D4—41no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4—41no—
841C22×D4—41no—
842C22×D4—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4—41no—
847C22×D4—41no—
848C22×D4—41no—
849C22×D4—41no—
850C22×D4—41no—
851C23×C4C23×C7111yescharacteristic
852C23×C4C23×C7111yescharacteristic
853C23×C4C23×C7111yescharacteristic
854C23×C4C23×C7111yescharacteristic
855C23×C4C23×C7111yescharacteristic
856C23×C4C23×C7111yescharacteristic
857C23×C4C23×C7111yescharacteristic
858C23×C4C23×C7111yescharacteristic
859C23×C4C23×C7111yescharacteristic
860C23×C4C23×C7111yescharacteristic
861C23×C4C23×C7111yescharacteristic
862C2×C4⋊C4—22no—
863C2×C4⋊C4—22no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—41no—
867C2×C4⋊C4—41no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4D4×C7114yescomplemented
914C2×C22⋊C4D4×C7114yescomplemented
915C2×C22⋊C4D4×C7114yescomplemented
916C2×C42—22no—
917C2×C42—22no—
918C2×C42—41no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—41no—
926#95—41no—
927#95—41no—
928#95D4×C7114yescomplemented
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24C2×D4×C7112yes—
986C24C2×D4×C7112yes—
987C24C2×D4×C7112yes—
988C24#41×C7112yes—
989C24C24×C7111yescharacteristic
990C2×D4—28no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4C2×D4×C7112yes—
1099C22×C4C2×D4×C7112yes—
1100C22×C4C2×D4×C7112yes—
1101C22×C4C2×D4×C7112yes—
1102C22×C4C2×D4×C7112yes—
1103C22×C4C2×D4×C7112yes—
1104C22×C4C2×D4×C7112yes—
1105C22×C4C2×D4×C7112yes—
1106C22×C4C2×D4×C7112yes—
1107C22×C4#41×C7112yes—
1108C22×C4#41×C7112yes—
1109C4⋊C4—44no—
1110C4⋊C4—44no—
1111C22⋊C4—28no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C42—44no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
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—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23C22×D4×C7111yescharacteristic
1269C23C22×D4×C7111yescharacteristic
1270C23C22×D4×C7111yescharacteristic
1271C23C22×D4×C7111yescharacteristic
1272C23C2×#41×C7111yescharacteristic
1273C23C2×#41×C7111yescharacteristic
1274C23C2×#41×C7111yescharacteristic
1275C23H(5,𝔽2)×C7111yescharacteristic
1276C23H(5,𝔽2)×C7111yescharacteristic
1277C23H(5,𝔽2)×C7111yescharacteristic
1278C23H(5,𝔽2)×C7111yescharacteristic
1279C23H(5,𝔽2)×C7111yescharacteristic
1280C23H(5,𝔽2)×C7111yescharacteristic
1281C23H(5,𝔽2)×C7111yescharacteristic
1282C23H(5,𝔽2)×C7111yescharacteristic
1283D4—416no—
1284D4—416no—
1285D4—416no—
1286D4—416no—
1287D4—416no—
1288D4—416no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4#121×C7114yes—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22C2×#121×C7111yescharacteristic
1427C22#525×C7111yescharacteristic
1428C22#532×C7111yescharacteristic
1429C22#534×C7111yescharacteristic
1430C22#534×C7111yescharacteristic
1431C22#535×C7111yescharacteristic
1432C22#535×C7111yescharacteristic
1433C22#535×C7111yescharacteristic
1434C22#535×C7111yescharacteristic
1435C22#535×C7111yescharacteristic
1436C22#535×C7111yescharacteristic
1437C22#538×C7111yescharacteristic
1438C22#538×C7111yescharacteristic
1439C22#538×C7111yescharacteristic
1440C22#538×C7111yescharacteristic
1441C22#540×C7111yescharacteristic
1442C22#540×C7111yescharacteristic
1443C22#540×C7111yescharacteristic
1444C22#540×C7111yescharacteristic
1445C22D42×C7111yescharacteristic
1446C22D42×C7111yescharacteristic
1447C22D42×C7111yescharacteristic
1448C22D42×C7111yescharacteristic
1449C22D42×C7111yescharacteristic
1450C22#546×C7111yescharacteristic
1451C22#546×C7111yescharacteristic
1452C22#546×C7111yescharacteristic
1453C22#546×C7111yescharacteristic
1454C22#546×C7111yescharacteristic
1455C22#550×C7111yescharacteristic
1456C22#553×C7111yescharacteristic
1457C22#560×C7111yescharacteristic
1458C22#560×C7111yescharacteristic
1459C22#560×C7111yescharacteristic
1460C22H(3,𝔽4)×C7111yescharacteristic
1461C4—24no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—81no—
1471C4—81no—
1472C2—82no—
1473C2—82no—
1474C2—82no—
1475C2—82no—
1476C2C71×#242411yescharacteristic
1477C2C71×#242811yescharacteristic
1478C2C71×#246411yescharacteristic
1479C2C71×#261911yescharacteristic
1480C2C71×#263511yescharacteristic
1481C2C71×#266111yescharacteristic
1482C2C71×#266911yescharacteristic
1483C2C71×#266911yescharacteristic
1484C2C71×#267011yescharacteristic
1485C2C71×#267011yescharacteristic
1486C2C71×#267311yescharacteristic
1487C2C71×#267811yescharacteristic
1488C2C71×#270311yescharacteristic
1489C2C71×#271411yescharacteristic
1490C2C71×#282811yescharacteristic
subgroupG/H
center, socleC24×C71C24
commutator, Frattini, cosocleC24C24×C71
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#394×C71C2semidirect
2. C2×#394×C71C2semidirect
3. C2×#392×C71C2semidirect
4. C2×#392×C71C2semidirect
5. C2×#392×C71C2semidirect
6. C2×#392×C71C2semidirect
7. C2×#390×C71C2semidirect
8. C2×#388×C71C2semidirect
9. C71×#1442C2semidirect
10. C71×#1440C2semidirect
11. C71×#1439C2semidirect
12. C71×#1438C2semidirect
13. C71×#1438C2semidirect
14. C71×#1438C2semidirect
15. C71×#1437C2semidirect
167. C2×C22⋊C4×C71D4semidirect
168. C2×C22⋊C4×C71D4semidirect
169. C2×C22⋊C4×C71D4semidirect
182. #95×C71D4semidirect
726. #16291C71direct (N × H)
746. C2×#394C2×C71semidirect
747. C2×#394C2×C71semidirect
748. C2×#392C2×C71semidirect
749. C2×#392C2×C71semidirect
750. C2×#392C2×C71semidirect
751. C2×#392C2×C71semidirect
752. C2×#390C2×C71semidirect
753. C2×#388C2×C71semidirect
754. #1442C2×C71semidirect
755. #1440C2×C71semidirect
756. #1439C2×C71semidirect
757. #1438C2×C71semidirect
758. #1438C2×C71semidirect
759. #1438C2×C71semidirect
760. #1437C2×C71semidirect
761. C71#16291direct (N × H)
913. C2×C22⋊C4D4×C71semidirect
914. C2×C22⋊C4D4×C71semidirect
915. C2×C22⋊C4D4×C71semidirect
928. #95D4×C71semidirect

Maximal subgroups

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

subgroupindex
C2×#394×C712
C2×#392×C712
C2×#390×C712
C2×#388×C712
C71×#14422
C71×#14402
C71×#14392
C71×#14382
C71×#14372
#1629171