Finite Group Databasebeta

← #13523681

Subgroups — #13523681

Order 1792.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×C7×#123C211yesmaximal, characteristic, complemented
2#11740292C211yesmaximal, characteristic
3#11740289C211yesmaximal, characteristic, complemented
4C4×#6502C211yesmaximal, characteristic
5C4×D4×Dic7C211yesmaximal, characteristic, complemented
6C4×#6492C211yesmaximal, characteristic, complemented
7C2×#89704C211yesmaximal, characteristic, complemented
8#11733030C211yesmaximal, characteristic, complemented
9#11733028C211yesmaximal, characteristic, complemented
10#11733021C211yesmaximal, characteristic, complemented
11#11733019C211yesmaximal, characteristic, complemented
12#11732517C211yesmaximal, characteristic, complemented
13#11732513C211yesmaximal, characteristic, complemented
14#11732510C211yesmaximal, characteristic, complemented
15#11732506C211yesmaximal, characteristic, complemented
16#11732157C211yesmaximal, characteristic, complemented
17#11732151C211yesmaximal, characteristic
18#11731910C211yesmaximal, characteristic, complemented
19#11731908C211yesmaximal, characteristic, complemented
20#11731523C211yesmaximal, characteristic, complemented
21#11731521C211yesmaximal, characteristic, complemented
22#11731224C211yesmaximal, characteristic, complemented
23#11731115C211yesmaximal, characteristic, complemented
24#11731065C211yesmaximal, characteristic, complemented
25#11731064C211yesmaximal, characteristic, complemented
26#11730927C211yesmaximal, characteristic, complemented
27#11730926C211yesmaximal, characteristic, complemented
28C4×#6441C211yesmaximal, characteristic, complemented
29#11730883C211yesmaximal, characteristic, complemented
30#11730883C211yesmaximal, characteristic, complemented
31#11730882C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C22×C42×C7C2211yescharacteristic
35C2×#6502C2211yescharacteristic
36C2×D4×Dic7C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×#6492C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C22×C4×Dic7C2211yescharacteristic
42C22×C4×Dic7C2211yescharacteristic
43C22×C4×Dic7C2211yescharacteristic
44C2×#6441C2211yescharacteristic
45C2×#6435C2211yescharacteristic
46C2×C4×Dic14C2211yescharacteristic
47C7×#388C2211yescharacteristic
48C7×#388C2211yescharacteristic
49C7×#387C2211yescharacteristic
50C7×#387C2211yescharacteristic
51C7×#386C2211yescharacteristic
52C7×#385C2211yescharacteristic
53C7×#381C2211yescharacteristic
54C4×C7×C4⋊C4C2211yescharacteristic
55C4×C7×C4⋊C4C2211yescharacteristic
56C4×C7×C22⋊C4C2211yescharacteristic
57C4×C7×C22⋊C4C2211yescharacteristic
58C4×C7×C22⋊C4C2211yescharacteristic
59#89992C2211yescharacteristic
60#89985C2211yescharacteristic
61#89983C2211yescharacteristic
62#89982C2211yescharacteristic
63C4×C22⋊Dic7C2211yescharacteristic
64C4×C22⋊Dic7C2211yescharacteristic
65C4×C22⋊Dic7C2211yescharacteristic
66C2×C7⋊#95C2211yescharacteristic
67C2×C7⋊#95C2211yescharacteristic
68C2×C7⋊#95C2211yescharacteristic
69C2×C7⋊#95C2211yescharacteristic
70#89766C2211yescharacteristic
71#89765C2211yescharacteristic
72#89762C2211yescharacteristic
73#89762C2211yescharacteristic
74#89762C2211yescharacteristic
75#89758C2211yescharacteristic
76#89756C2211yescharacteristic
77#89755C2211yescharacteristic
78#89754C2211yescharacteristic
79#89754C2211yescharacteristic
80#89752C2211yescharacteristic
81#89750C2211yescharacteristic
82#89750C2211yescharacteristic
83#89750C2211yescharacteristic
84#89750C2211yescharacteristic
85C4⋊C4×Dic7C2211yescharacteristic
86C4⋊C4×Dic7C2211yescharacteristic
87#89744C2211yescharacteristic
88#89744C2211yescharacteristic
89#89744C2211yescharacteristic
90#89733C2211yescharacteristic
91#89731C2211yescharacteristic
92#89730C2211yescharacteristic
93#89730C2211yescharacteristic
94#89730C2211yescharacteristic
95#89730C2211yescharacteristic
96#89730C2211yescharacteristic
97#89729C2211yescharacteristic
98#89725C2211yescharacteristic
99#89724C2211yescharacteristic
100#89724C2211yescharacteristic
101#89724C2211yescharacteristic
102#89722C2211yescharacteristic
103#89720C2211yescharacteristic
104#89719C2211yescharacteristic
105#89718C2211yescharacteristic
106#89718C2211yescharacteristic
107#89718C2211yescharacteristic
108#89718C2211yescharacteristic
109#89718C2211yescharacteristic
110#89717C2211yescharacteristic
111#89715C2211yescharacteristic
112#89715C2211yescharacteristic
113#89714C2211yescharacteristic
114#89714C2211yescharacteristic
115#89714C2211yescharacteristic
116#89714C2211yescharacteristic
117C22⋊C4×Dic7C2211yescharacteristic
118C22⋊C4×Dic7C2211yescharacteristic
119C22⋊C4×Dic7C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic
121#89712C2211yescharacteristic
122#89712C2211yescharacteristic
123C4×(C2×D7)⋊C4C2211yescharacteristic
124C4×(C2×D7)⋊C4C2211yescharacteristic
125C4×(C2×D7)⋊C4C2211yescharacteristic
126C4×(C2×D7)⋊C4C2211yescharacteristic
127C4×C4⋊Dic7C2211yescharacteristic
128C4×C4⋊Dic7C2211yescharacteristic
129#89705C2211yescharacteristic
130#89705C2211yescharacteristic
131#89704C2211yescharacteristic
132#89704C2211yescharacteristic
133#89704C2211yescharacteristic
134#89704C2211yescharacteristic
135#89704C2211yescharacteristic
136#89704C2211yescharacteristic
137#89704C2211yescharacteristic
138#89704C2211yescharacteristic
139#89704C2211yescharacteristic
140C4×Dic7⋊C4C2211yescharacteristic
141C4×Dic7⋊C4C2211yescharacteristic
142C4×Dic7⋊C4C2211yescharacteristic
143C4×Dic7⋊C4C2211yescharacteristic
144C4×Dic7⋊C4C2211yescharacteristic
145C4×Dic7⋊C4C2211yescharacteristic
146C42×Dic7C2211yescharacteristic
147#89447C2211yescharacteristic
148#89447C2211yescharacteristic
149#89446C2211yescharacteristic
150#89445C2211yescharacteristic
151#89442C2211yescharacteristic
152#89442C2211yescharacteristic
153#89441C2211yescharacteristic
154#89441C2211yescharacteristic
155#89441C2211yescharacteristic
156#89441C2211yescharacteristic
157C7⋊#401C2211yescharacteristic
158C7⋊#401C2211yescharacteristic
159#89432C2211yescharacteristic
160#89432C2211yescharacteristic
161#89432C2211yescharacteristic
162#89431C2211yescharacteristic
163#89431C2211yescharacteristic
164#89430C2211yescharacteristic
165#89430C2211yescharacteristic
166#89430C2211yescharacteristic
167#89430C2211yescharacteristic
168#89429C2211yescharacteristic
169#89427C2211yescharacteristic
170#89427C2211yescharacteristic
171#89427C2211yescharacteristic
172#89426C2211yescharacteristic
173#89425C2211yescharacteristic
174#89425C2211yescharacteristic
175#89424C2211yescharacteristic
176#89424C2211yescharacteristic
177#89424C2211yescharacteristic
178#89424C2211yescharacteristic
179#89423C2211yescharacteristic
180#89423C2211yescharacteristic
181#89422C2211yescharacteristic
182#89422C2211yescharacteristic
183#89419C2211yescharacteristic
184#89418C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#34811—71nomaximal, Sylow
188C22×C7×D4C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C22×C4×D7C2311yescharacteristic
202C22×Dic14C2311yescharacteristic
203C7×#123—24no—
204C4×C7×D4—24no—
205C2×C7×C4⋊C4C2311yescharacteristic
206C2×C7×C4⋊C4C2311yescharacteristic
207C2×C7×C4⋊C4C2311yescharacteristic
208C2×C7×C4⋊C4C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C22⋊C4C2311yescharacteristic
211C2×C7×C22⋊C4C2311yescharacteristic
212C2×C7×C22⋊C4C2311yescharacteristic
213C2×C7×C22⋊C4C2311yescharacteristic
214C2×C7×C22⋊C4C2311yescharacteristic
215C2×C7×C22⋊C4C2311yescharacteristic
216C2×C7×C22⋊C4C2311yescharacteristic
217C2×C7×C22⋊C4C2311yescharacteristic
218C2×C42×C7—24no—
219C2×C42×C7C2311yescharacteristic
220C2×C42×C7C2311yescharacteristic
221C2×C42×C7C2311yescharacteristic
222C2×C42×C7C2311yescharacteristic
223C2×C42×C7C2311yescharacteristic
224C2×C42×C7C2311yescharacteristic
225C2×C42×C7C2311yescharacteristic
226C2×C22⋊Dic7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230C2×C22⋊Dic7C2311yescharacteristic
231C2×C22⋊Dic7C2311yescharacteristic
232C2×C22⋊Dic7C2311yescharacteristic
233C2×C22⋊Dic7C2311yescharacteristic
234#6502—24no—
235D4×Dic7—24no—
236D4×Dic7—24no—
237#6492—24no—
238C4×C22⋊D7—24no—
239C4×C22⋊D7—24no—
240C2×(C2×D7)⋊C4C2311yescharacteristic
241C2×(C2×D7)⋊C4C2311yescharacteristic
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×C4⋊Dic7C2311yescharacteristic
253C2×C4⋊Dic7C2311yescharacteristic
254C2×C4⋊Dic7C2311yescharacteristic
255C2×C4⋊Dic7C2311yescharacteristic
256C2×C4⋊Dic7C2311yescharacteristic
257C2×Dic7⋊C4C2311yescharacteristic
258C2×Dic7⋊C4C2311yescharacteristic
259C2×Dic7⋊C4C2311yescharacteristic
260C2×Dic7⋊C4C2311yescharacteristic
261C2×Dic7⋊C4C2311yescharacteristic
262C2×Dic7⋊C4C2311yescharacteristic
263C2×Dic7⋊C4C2311yescharacteristic
264C2×Dic7⋊C4C2311yescharacteristic
265C2×Dic7⋊C4C2311yescharacteristic
266C2×Dic7⋊C4C2311yescharacteristic
267C2×Dic7⋊C4C2311yescharacteristic
268C2×Dic7⋊C4C2311yescharacteristic
269C2×Dic7⋊C4C2311yescharacteristic
270C2×Dic7⋊C4C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×C4×Dic7—24no—
276C2×C4×Dic7—24no—
277C2×C4×Dic7—24no—
278C2×C4×Dic7C2311yescharacteristic
279C2×C4×Dic7C2311yescharacteristic
280C2×C4×Dic7C2311yescharacteristic
281C2×C4×Dic7C2311yescharacteristic
282C2×C4×Dic7C2311yescharacteristic
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294C2×C4×Dic7C2311yescharacteristic
295#6441—24no—
296#6435—24no—
297C4×Dic14—24no—
298C7×#95C2311yescharacteristic
299C7×#95C2311yescharacteristic
300C7×#95C2311yescharacteristic
301C7×#95C2311yescharacteristic
302C7×#95C2311yescharacteristic
303C7×#95C2311yescharacteristic
304C7×#95C2311yescharacteristic
305C7×#95C2311yescharacteristic
306C7×#95C2311yescharacteristic
307C7×#95C2311yescharacteristic
308C7⋊#95C2311yescharacteristic
309C7⋊#95C2311yescharacteristic
310C7⋊#95C2311yescharacteristic
311C7⋊#95C2311yescharacteristic
312C7⋊#95C2311yescharacteristic
313C7⋊#95C2311yescharacteristic
314C7⋊#95C2311yescharacteristic
315C7⋊#95C2311yescharacteristic
316C7⋊#95C2311yescharacteristic
317C7⋊#95C2311yescharacteristic
318C7⋊#95C2311yescharacteristic
319C7⋊#95C2311yescharacteristic
320C7⋊#95C2311yescharacteristic
321C7⋊#95C2311yescharacteristic
322C7⋊#95C2311yescharacteristic
323C7⋊#95C2311yescharacteristic
324C7⋊#95C2311yescharacteristic
325C7⋊#95C2311yescharacteristic
326C7⋊#95C2311yescharacteristic
327C7⋊#95C2311yescharacteristic
328C7⋊#95C2311yescharacteristic
329C7⋊#95C2311yescharacteristic
330C7⋊#95C2311yescharacteristic
331C7⋊#95C2311yescharacteristic
332C7⋊#95C2311yescharacteristic
333C7⋊#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358#2533—71no—
359#2532—71no—
360#2531—71no—
361#2530—71no—
362#2529—71no—
363#2528—71no—
364#2527—71no—
365#2526—71no—
366#2510—71no—
367#2505—71no—
368#2493—71no—
369#2488—71no—
370#2450—71no—
371#2444—71no—
372#2425—71no—
373#2419—71no—
374#2402—71no—
375#2401—71no—
376#2401—71no—
377#2398—71no—
378C4×C22⋊Q8—71no—
379C4×#123—71no—
380C4×#123D711yescharacteristic, complemented
381C4×#121—71no—
382#2298—71no—
383#2295—71no—
384#2290—71no—
385#2290—71no—
386#2283—71no—
387C42×D4—71no—
388C2×#376—71no—
389C24×C7C2411yescharacteristic
390C24×C7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C2×C7×D4—22no—
393C2×C7×D4—22no—
394C2×C7×D4#4114yes—
395C22×C4×C7—22no—
396C22×C4×C7—22no—
397C22×C4×C7—22no—
398C22×C4×C7—22no—
399C22×C4×C7—22no—
400C22×C4×C7—22no—
401C22×C4×C7—22no—
402C22×C4×C7—22no—
403C22×C4×C7—22no—
404C22×C4×C7—41no—
405C22×C4×C7—41no—
406C22×C4×C7#4114yes—
407C22×C4×C7C2411yescharacteristic
408C22×C4×C7C2411yescharacteristic
409C22×C4×C7C2411yescharacteristic
410C22×C4×C7C2411yescharacteristic
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C22×C4×C7C2411yescharacteristic
414C22×C4×C7C2411yescharacteristic
415C22×C4×C7C2411yescharacteristic
416C22×C4×C7C2411yescharacteristic
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C2×C22⋊D7—22no—
421C2×C22⋊D7—22no—
422C2×C22⋊D7—22no—
423C2×C22⋊D7—22no—
424C2×C22⋊D7—22no—
425C2×C22⋊D7—41no—
426C22×Dic7—22no—
427C22×Dic7—22no—
428C22×Dic7—22no—
429C22×Dic7—22no—
430C22×Dic7—22no—
431C22×Dic7—22no—
432C22×Dic7—22no—
433C22×Dic7—22no—
434C22×Dic7—22no—
435C22×Dic7—22no—
436C22×Dic7—22no—
437C22×Dic7—22no—
438C22×Dic7—41no—
439C22×Dic7—41no—
440C22×Dic7—41no—
441C22×Dic7—41no—
442C22×Dic7—41no—
443C22×Dic7—41no—
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C2×C4×D7—22no—
460C2×C4×D7—22no—
461C2×C4×D7—22no—
462C2×Dic14—22no—
463C2×Dic14—22no—
464C2×Dic14—41no—
465C7×C4⋊C4—22no—
466C7×C4⋊C4—22no—
467C7×C4⋊C4—22no—
468C7×C4⋊C4—41no—
469C7×C4⋊C4—41no—
470C7×C22⋊C4—22no—
471C7×C22⋊C4—22no—
472C7×C22⋊C4—22no—
473C7×C22⋊C4—22no—
474C7×C22⋊C4—22no—
475C7×C22⋊C4—22no—
476C7×C22⋊C4—41no—
477C7×C22⋊C4—41no—
478C42×C7—22no—
479C42×C7—22no—
480C42×C7—22no—
481C42×C7—22no—
482C42×C7—22no—
483C42×C7—22no—
484C42×C7—22no—
485C22⋊Dic7—22no—
486C22⋊Dic7—22no—
487C22⋊Dic7—22no—
488C22⋊Dic7—22no—
489C22⋊Dic7—22no—
490C22⋊Dic7—22no—
491C22⋊Dic7—41no—
492C22⋊Dic7#4114yes—
493(C2×D7)⋊C4—22no—
494(C2×D7)⋊C4—22no—
495(C2×D7)⋊C4—22no—
496(C2×D7)⋊C4—22no—
497(C2×D7)⋊C4—22no—
498(C2×D7)⋊C4—22no—
499(C2×D7)⋊C4—22no—
500(C2×D7)⋊C4—41no—
501(C2×D7)⋊C4—41no—
502(C2×D7)⋊C4—41no—
503(C2×D7)⋊C4—41no—
504(C2×D7)⋊C4—41no—
505C4⋊Dic7—22no—
506C4⋊Dic7—22no—
507C4⋊Dic7—22no—
508C4⋊Dic7—22no—
509C4⋊Dic7—41no—
510Dic7⋊C4—22no—
511Dic7⋊C4—22no—
512Dic7⋊C4—22no—
513Dic7⋊C4—22no—
514Dic7⋊C4—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—22no—
517Dic7⋊C4—22no—
518Dic7⋊C4—22no—
519Dic7⋊C4—22no—
520Dic7⋊C4—22no—
521Dic7⋊C4—41no—
522Dic7⋊C4—41no—
523Dic7⋊C4—41no—
524Dic7⋊C4—41no—
525Dic7⋊C4—41no—
526Dic7⋊C4—41no—
527Dic7⋊C4—41no—
528C4×Dic7—22no—
529C4×Dic7—22no—
530C4×Dic7—22no—
531C4×Dic7—22no—
532C4×Dic7—22no—
533C4×Dic7—22no—
534C4×Dic7—22no—
535C4×Dic7—22no—
536C4×Dic7—22no—
537C4×Dic7—22no—
538C4×Dic7—22no—
539C4×Dic7—22no—
540C4×Dic7—22no—
541C4×Dic7—41no—
542C4×Dic7—41no—
543C4×Dic7#4114yes—
544C4×Dic7#4114yes—
545C2×#123—71no—
546C2×#123C2×D711yescharacteristic
547C2×C22⋊Q8—71no—
548C2×#121—71no—
549C2×C4×Q8—71no—
550C2×C4×D4—71no—
551C2×C4×D4—71no—
552C2×C4×D4—71no—
553C2×C4×D4—71no—
554C2×C4×D4C2×D711yescharacteristic
555C2×#117—71no—
556C22×C42—71no—
557C22×C42—71no—
558C22×C42—71no—
559C22×C42C2×D711yescharacteristic
560#401—71no—
561#401—71no—
562#400—71no—
563#400—71no—
564#400—71no—
565#400—71no—
566#400—71no—
567#400—71no—
568#400—71no—
569#400—71no—
570#400—71no—
571#400—71no—
572#400—71no—
573#400—71no—
574#398—71no—
575#398—71no—
576#398—71no—
577#398—71no—
578#397—71no—
579#397—71no—
580#397—71no—
581#397—71no—
582#397—71no—
583#397—71no—
584#397—71no—
585#397—71no—
586#396—71no—
587#396—71no—
588#394—71no—
589#394—71no—
590#393—71no—
591#393—71no—
592#391—71no—
593#391—71no—
594#391—71no—
595#390—71no—
596#389—71no—
597#389—71no—
598#389—71no—
599#389—71no—
600#388—71no—
601#388—71no—
602#388—71no—
603#388—71no—
604#388—71no—
605#388—71no—
606#388—71no—
607#388—71no—
608#388—71no—
609#388—71no—
610#388—71no—
611#388—71no—
612#388C2×D711yescharacteristic
613#388C2×D711yescharacteristic
614#387—71no—
615#387—71no—
616#387—71no—
617#387—71no—
618#387—71no—
619#387—71no—
620#387—71no—
621#387—71no—
622#387—71no—
623#387—71no—
624#387—71no—
625#387—71no—
626#387—71no—
627#387—71no—
628#387—71no—
629#387—71no—
630#387C2×D711yescharacteristic
631#387C2×D711yescharacteristic
632#386—71no—
633#386—71no—
634#386—71no—
635#386—71no—
636#386—71no—
637#386—71no—
638#386—71no—
639#386C2×D711yescharacteristic
640#385—71no—
641#385—71no—
642#385—71no—
643#385—71no—
644#385—71no—
645#385—71no—
646#385—71no—
647#385C2×D711yescharacteristic
648#383—71no—
649#383—71no—
650#382—71no—
651#382—71no—
652#381—71no—
653#381—71no—
654#381—71no—
655#381C2×D711yescharacteristic
656#380—71no—
657#380—71no—
658#380—71no—
659#380—71no—
660C4×C4⋊C4—71no—
661C4×C4⋊C4—71no—
662C4×C4⋊C4—71no—
663C4×C4⋊C4—71no—
664C4×C4⋊C4—71no—
665C4×C4⋊C4—71no—
666C4×C4⋊C4—71no—
667C4×C4⋊C4—71no—
668C4×C4⋊C4—71no—
669C4×C4⋊C4—71no—
670C4×C4⋊C4C2×D711yescharacteristic
671C4×C4⋊C4C2×D711yescharacteristic
672C4×C22⋊C4—71no—
673C4×C22⋊C4—71no—
674C4×C22⋊C4—71no—
675C4×C22⋊C4—71no—
676C4×C22⋊C4—71no—
677C4×C22⋊C4—71no—
678C4×C22⋊C4—71no—
679C4×C22⋊C4—71no—
680C4×C22⋊C4—71no—
681C4×C22⋊C4—71no—
682C4×C22⋊C4—71no—
683C4×C22⋊C4C2×D711yescharacteristic
684C4×C22⋊C4C2×D711yescharacteristic
685C4×C22⋊C4C2×D711yescharacteristic
686#376—71no—
687#376—71no—
688#376—71no—
689#376—71no—
690#376—71no—
691#376—71no—
692#376—71no—
693#376—71no—
694#376—71no—
695C2×#95—71no—
696C2×#95—71no—
697C2×#95—71no—
698C2×#95—71no—
699C43—71no—
700C23×C7—21no—
701C23×C7—21no—
702C23×C7—21no—
703C23×C7—21no—
704C23×C7—21no—
705C23×C7—21no—
706C23×C7—21no—
707C23×C7—21no—
708C23×C7—21no—
709C23×C7—21no—
710C23×C7C2×#4112yes—
711C23×C7C2×#4112yes—
712C23×C7C2×#4112yes—
713C23×C7C2×#4112yes—
714C23×C7C2511yescharacteristic
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7—21no—
722C7×D4—28no—
723C2×C4×C7—21no—
724C2×C4×C7—21no—
725C2×C4×C7—21no—
726C2×C4×C7—21no—
727C2×C4×C7—28no—
728C2×C4×C7—21no—
729C2×C4×C7—21no—
730C2×C4×C7—21no—
731C2×C4×C7—21no—
732C2×C4×C7—21no—
733C2×C4×C7—21no—
734C2×C4×C7—21no—
735C2×C4×C7—21no—
736C2×C4×C7—21no—
737C2×C4×C7—21no—
738C2×C4×C7—21no—
739C2×C4×C7—21no—
740C2×C4×C7—21no—
741C2×C4×C7—21no—
742C2×C4×C7—21no—
743C2×C4×C7—21no—
744C2×C4×C7—21no—
745C2×C4×C7—21no—
746C2×C4×C7—21no—
747C2×C4×C7—21no—
748C2×C4×C7—21no—
749C2×C4×C7—21no—
750C2×C4×C7—21no—
751C2×C4×C7—21no—
752C2×C4×C7—21no—
753C2×C4×C7—21no—
754C2×C4×C7—21no—
755C2×C4×C7—21no—
756C2×C4×C7—21no—
757C2×C4×C7—21no—
758C2×C4×C7—44no—
759C2×C4×C7—44no—
760C2×C4×C7—44no—
761C2×C4×C7C2×#4112yes—
762C2×C4×C7C2×#4112yes—
763C2×C4×C7C2×#4112yes—
764C2×C4×C7C2×#4112yes—
765C2×C4×C7C2×#4112yes—
766C22⋊D7—44no—
767C22⋊D7—44no—
768C2×Dic7—21no—
769C2×Dic7—21no—
770C2×Dic7—21no—
771C2×Dic7—21no—
772C2×Dic7—21no—
773C2×Dic7—21no—
774C2×Dic7—21no—
775C2×Dic7—21no—
776C2×Dic7—21no—
777C2×Dic7—21no—
778C2×Dic7—21no—
779C2×Dic7—21no—
780C2×Dic7—21no—
781C2×Dic7—21no—
782C2×Dic7—21no—
783C2×Dic7—21no—
784C2×Dic7—21no—
785C2×Dic7—21no—
786C2×Dic7—21no—
787C2×Dic7—21no—
788C2×Dic7—21no—
789C2×Dic7—21no—
790C2×Dic7—21no—
791C2×Dic7—21no—
792C2×Dic7—21no—
793C2×Dic7—21no—
794C2×Dic7—21no—
795C2×Dic7—21no—
796C2×Dic7—21no—
797C2×Dic7—21no—
798C2×Dic7—21no—
799C2×Dic7—21no—
800C2×Dic7—21no—
801C2×Dic7—21no—
802C2×Dic7—21no—
803C2×Dic7—21no—
804C2×Dic7—21no—
805C2×Dic7—21no—
806C2×Dic7—21no—
807C2×Dic7—44no—
808C2×Dic7—44no—
809C2×Dic7—44no—
810C2×Dic7—44no—
811C2×Dic7—44no—
812C2×Dic7—44no—
813C2×Dic7C2×#4112yes—
814C2×Dic7C2×#4112yes—
815C2×Dic7C2×#4112yes—
816C2×Dic7C2×#4112yes—
817C2×Dic7C2×#4112yes—
818C2×Dic7C2×#4112yes—
819C4×D7—44no—
820Dic14—44no—
821C22×Q8—71no—
822C22×D4—71no—
823C22×D4—71no—
824C22×D4C22×D711yescharacteristic
825C23×C4—71no—
826C23×C4—71no—
827C23×C4—71no—
828C23×C4—71no—
829C23×C4—71no—
830C23×C4—71no—
831C23×C4—71no—
832C23×C4C22×D711yescharacteristic
833C23×C4C22×D711yescharacteristic
834C23×C4C22×D711yescharacteristic
835C23×C4C22×D711yescharacteristic
836#123—24no—
837#123—144no—
838C22⋊Q8—144no—
839#121—144no—
840C4×Q8—144no—
841C4×D4—24no—
842C4×D4—144no—
843C4×D4—144no—
844C4×D4—144no—
845C4×D4—144no—
846#117—144no—
847C2×C4⋊C4—71no—
848C2×C4⋊C4—71no—
849C2×C4⋊C4—71no—
850C2×C4⋊C4—71no—
851C2×C4⋊C4—71no—
852C2×C4⋊C4—71no—
853C2×C4⋊C4—71no—
854C2×C4⋊C4—71no—
855C2×C4⋊C4—71no—
856C2×C4⋊C4—71no—
857C2×C4⋊C4—71no—
858C2×C4⋊C4—71no—
859C2×C4⋊C4—71no—
860C2×C4⋊C4—71no—
861C2×C4⋊C4—71no—
862C2×C4⋊C4—71no—
863C2×C4⋊C4—71no—
864C2×C4⋊C4—71no—
865C2×C4⋊C4—71no—
866C2×C4⋊C4—71no—
867C2×C4⋊C4—71no—
868C2×C4⋊C4—71no—
869C2×C4⋊C4—71no—
870C2×C4⋊C4C22×D711yescharacteristic
871C2×C4⋊C4C22×D711yescharacteristic
872C2×C4⋊C4C22×D711yescharacteristic
873C2×C4⋊C4C22×D711yescharacteristic
874C2×C4⋊C4C22×D711yescharacteristic
875C2×C22⋊C4—71no—
876C2×C22⋊C4—71no—
877C2×C22⋊C4—71no—
878C2×C22⋊C4—71no—
879C2×C22⋊C4—71no—
880C2×C22⋊C4—71no—
881C2×C22⋊C4—71no—
882C2×C22⋊C4—71no—
883C2×C22⋊C4—71no—
884C2×C22⋊C4—71no—
885C2×C22⋊C4—71no—
886C2×C22⋊C4—71no—
887C2×C22⋊C4—71no—
888C2×C22⋊C4—71no—
889C2×C22⋊C4—71no—
890C2×C22⋊C4—71no—
891C2×C22⋊C4—71no—
892C2×C22⋊C4—71no—
893C2×C22⋊C4—71no—
894C2×C22⋊C4—71no—
895C2×C22⋊C4C22×D711yescharacteristic
896C2×C22⋊C4C22×D711yescharacteristic
897C2×C22⋊C4C22×D711yescharacteristic
898C2×C22⋊C4C22×D711yescharacteristic
899C2×C22⋊C4C22×D711yescharacteristic
900C2×C22⋊C4C22×D711yescharacteristic
901C2×C22⋊C4C22×D711yescharacteristic
902C2×C22⋊C4C22×D711yescharacteristic
903C2×C42—24no—
904C2×C42—71no—
905C2×C42—71no—
906C2×C42—71no—
907C2×C42—71no—
908C2×C42—71no—
909C2×C42—71no—
910C2×C42—71no—
911C2×C42—71no—
912C2×C42—71no—
913C2×C42—71no—
914C2×C42—71no—
915C2×C42—71no—
916C2×C42—71no—
917C2×C42—71no—
918C2×C42—71no—
919C2×C42—71no—
920C2×C42—71no—
921C2×C42—144no—
922C2×C42—144no—
923C2×C42—144no—
924C2×C42C22×D711yescharacteristic
925C2×C42C22×D711yescharacteristic
926C2×C42C22×D711yescharacteristic
927C2×C42C22×D711yescharacteristic
928C2×C42C22×D711yescharacteristic
929C2×C42C22×D711yescharacteristic
930C2×C42C22×D711yescharacteristic
931#95—71no—
932#95—71no—
933#95—71no—
934#95—71no—
935#95—71no—
936#95—71no—
937#95—71no—
938#95—71no—
939#95—71no—
940#95—71no—
941#95—71no—
942#95—71no—
943#95—71no—
944#95—71no—
945#95—71no—
946#95—71no—
947#95—71no—
948#95—71no—
949#95—71no—
950#95—71no—
951#95—71no—
952#95—71no—
953#95—71no—
954#95—71no—
955#95—71no—
956#95—71no—
957#95—71no—
958#95—71no—
959#95—71no—
960#95—71no—
961#95—71no—
962#95—71no—
963#95—71no—
964#95—71no—
965#95—71no—
966#95—71no—
967#95—71no—
968#95—71no—
969#95—71no—
970#95—71no—
971#95—71no—
972#95—71no—
973#95—71no—
974#95—71no—
975#95—71no—
976#95—71no—
977#95—71no—
978#95—71no—
979#95—71no—
980#95—71no—
981#95C22×D711yescharacteristic
982#95C22×D711yescharacteristic
983#95C22×D711yescharacteristic
984#95C22×D711yescharacteristic
985#95C22×D711yescharacteristic
986#95C22×D711yescharacteristic
987#95C22×D711yescharacteristic
988#95C22×D711yescharacteristic
989#95C22×D711yescharacteristic
990#95C22×D711yescharacteristic
991C22×C7—22no—
992C22×C7—22no—
993C22×C7—22no—
994C22×C7—22no—
995C22×C7—22no—
996C22×C7—22no—
997C22×C7—22no—
998C22×C7—22no—
999C22×C7—22no—
1000C22×C7—41no—
1001C22×C7—41no—
1002C22×C7—41no—
1003C22×C7—41no—
1004C22×C7#52914yes—
1005C22×C7C22×#4111yescharacteristic
1006C22×C7C22×#4111yescharacteristic
1007C22×C7C22×#4111yescharacteristic
1008C22×C7C22×#4111yescharacteristic
1009C22×C7C22×#4111yescharacteristic
1010C22×C7#58511yescharacteristic
1011C22×C7#58511yescharacteristic
1012C2×D7—41no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C2×D7—41no—
1016C2×D7—41no—
1017C2×D7—41no—
1018C2×D7—41no—
1019C4×C7—22no—
1020C4×C7—22no—
1021C4×C7—41no—
1022C4×C7—41no—
1023C4×C7—41no—
1024C4×C7—41no—
1025C4×C7—41no—
1026C4×C7—41no—
1027C4×C7—41no—
1028C4×C7—41no—
1029C4×C7—41no—
1030C4×C7—41no—
1031C4×C7#52914yes—
1032Dic7—22no—
1033Dic7—22no—
1034Dic7—22no—
1035Dic7—22no—
1036Dic7—22no—
1037Dic7—22no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7—41no—
1043Dic7—41no—
1044Dic7—41no—
1045Dic7—41no—
1046Dic7—41no—
1047C24—71no—
1048C24C23×D711yescharacteristic
1049C24C23×D711yescharacteristic
1050C2×Q8—142no—
1051C2×Q8—142no—
1052C2×Q8—281no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—142no—
1056C2×D4—142no—
1057C2×D4—142no—
1058C2×D4—142no—
1059C2×D4—142no—
1060C2×D4—281no—
1061C2×D4#115714yes—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—71no—
1074C22×C4—71no—
1075C22×C4—71no—
1076C22×C4—71no—
1077C22×C4—71no—
1078C22×C4—71no—
1079C22×C4—71no—
1080C22×C4—71no—
1081C22×C4—71no—
1082C22×C4—71no—
1083C22×C4—71no—
1084C22×C4—71no—
1085C22×C4—71no—
1086C22×C4—71no—
1087C22×C4—71no—
1088C22×C4—142no—
1089C22×C4—142no—
1090C22×C4—142no—
1091C22×C4—142no—
1092C22×C4—142no—
1093C22×C4—142no—
1094C22×C4—142no—
1095C22×C4—142no—
1096C22×C4—142no—
1097C22×C4—142no—
1098C22×C4—142no—
1099C22×C4—142no—
1100C22×C4—142no—
1101C22×C4—142no—
1102C22×C4—142no—
1103C22×C4—281no—
1104C22×C4—281no—
1105C22×C4—281no—
1106C22×C4—281no—
1107C22×C4—281no—
1108C22×C4—281no—
1109C22×C4#115914yes—
1110C22×C4C23×D711yescharacteristic
1111C22×C4C23×D711yescharacteristic
1112C22×C4C23×D711yescharacteristic
1113C22×C4C23×D711yescharacteristic
1114C22×C4C23×D711yescharacteristic
1115C22×C4C23×D711yescharacteristic
1116C22×C4C23×D711yescharacteristic
1117C22×C4C23×D711yescharacteristic
1118C22×C4C23×D711yescharacteristic
1119C22×C4C23×D711yescharacteristic
1120C22×C4C23×D711yescharacteristic
1121C22×C4C23×D711yescharacteristic
1122C22×C4C23×D711yescharacteristic
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—142no—
1129C4⋊C4—142no—
1130C4⋊C4—142no—
1131C4⋊C4—142no—
1132C4⋊C4—142no—
1133C4⋊C4—142no—
1134C4⋊C4—142no—
1135C4⋊C4—142no—
1136C4⋊C4—142no—
1137C4⋊C4—142no—
1138C4⋊C4—142no—
1139C4⋊C4—142no—
1140C4⋊C4—142no—
1141C4⋊C4—142no—
1142C4⋊C4—142no—
1143C4⋊C4—281no—
1144C4⋊C4—281no—
1145C4⋊C4—281no—
1146C4⋊C4—281no—
1147C4⋊C4—281no—
1148C4⋊C4—281no—
1149C4⋊C4—281no—
1150C4⋊C4—281no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—74no—
1160C22⋊C4—142no—
1161C22⋊C4—142no—
1162C22⋊C4—142no—
1163C22⋊C4—142no—
1164C22⋊C4—142no—
1165C22⋊C4—142no—
1166C22⋊C4—142no—
1167C22⋊C4—142no—
1168C22⋊C4—142no—
1169C22⋊C4—142no—
1170C22⋊C4—142no—
1171C22⋊C4—142no—
1172C22⋊C4—142no—
1173C22⋊C4—281no—
1174C22⋊C4—281no—
1175C22⋊C4—281no—
1176C22⋊C4—281no—
1177C22⋊C4—281no—
1178C22⋊C4—281no—
1179C42—22no—
1180C42—22no—
1181C42—22no—
1182C42—22no—
1183C42—22no—
1184C42—22no—
1185C42—22no—
1186C42—74no—
1187C42—74no—
1188C42—142no—
1189C42—142no—
1190C42—142no—
1191C42—142no—
1192C42—142no—
1193C42—142no—
1194C42—142no—
1195C42—142no—
1196C42—142no—
1197C42—142no—
1198C42—142no—
1199C42—142no—
1200C42—142no—
1201C42—281no—
1202C42—281no—
1203C2×C7—24no—
1204C2×C7—42no—
1205C2×C7C2×#52911yescharacteristic
1206C2×C7C2×#52911yescharacteristic
1207C2×C7#345511yescharacteristic
1208C2×C7#347511yescharacteristic
1209C2×C7#347511yescharacteristic
1210C2×C7#347511yescharacteristic
1211C2×C7#347511yescharacteristic
1212D7—81no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—141no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23—141no—
1229C23—141no—
1230C23C2×#115712yes—
1231C23C2×#115712yes—
1232C23C2×#115912yes—
1233C23D7×#4112yes—
1234C23C24×D711yescharacteristic
1235Q8—284no—
1236D4—28no—
1237D4—284no—
1238D4—284no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—28no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—44no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4—72no—
1278C2×C4—72no—
1279C2×C4—72no—
1280C2×C4—72no—
1281C2×C4—72no—
1282C2×C4—72no—
1283C2×C4—141no—
1284C2×C4—141no—
1285C2×C4—141no—
1286C2×C4—141no—
1287C2×C4—141no—
1288C2×C4—141no—
1289C2×C4—141no—
1290C2×C4—141no—
1291C2×C4—141no—
1292C2×C4—141no—
1293C2×C4—141no—
1294C2×C4—141no—
1295C2×C4—141no—
1296C2×C4—141no—
1297C2×C4—141no—
1298C2×C4—141no—
1299C2×C4—141no—
1300C2×C4—141no—
1301C2×C4—141no—
1302C2×C4—141no—
1303C2×C4—141no—
1304C2×C4—141no—
1305C2×C4—141no—
1306C2×C4—141no—
1307C2×C4—141no—
1308C2×C4—141no—
1309C2×C4—141no—
1310C2×C4—141no—
1311C2×C4—141no—
1312C2×C4—141no—
1313C2×C4—141no—
1314C2×C4—141no—
1315C2×C4—141no—
1316C2×C4—141no—
1317C2×C4—141no—
1318C2×C4—141no—
1319C2×C4—141no—
1320C2×C4—141no—
1321C2×C4—141no—
1322C2×C4—284no—
1323C2×C4—284no—
1324C2×C4—284no—
1325C2×C4—284no—
1326C2×C4—284no—
1327C2×C4—284no—
1328C2×C4—284no—
1329C2×C4C2×#115712yes—
1330C2×C4C2×#115912yes—
1331C2×C4C2×#115912yes—
1332C2×C4D7×#4112yes—
1333C2×C4D7×#4112yes—
1334C7#3481111yescharacteristic, complemented, Sylow
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—281no—
1349C22—281no—
1350C22—281no—
1351C22—281no—
1352C22—281no—
1353C22—281no—
1354C22—281no—
1355C22#9022914yes—
1356C22C22×#115711yescharacteristic
1357C22C22×#115911yescharacteristic
1358C22C2×D7×#4111yescharacteristic
1359C22C2×D7×#4111yescharacteristic
1360C22C2×D7×#4111yescharacteristic
1361C22#9061611yescharacteristic
1362C22#9061611yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—142no—
1376C4—142no—
1377C4—142no—
1378C4—142no—
1379C4—142no—
1380C4—142no—
1381C4—281no—
1382C4—281no—
1383C4—281no—
1384C4—281no—
1385C4—281no—
1386C4—281no—
1387C4—281no—
1388C4—281no—
1389C4—281no—
1390C4#9034014yes—
1391C2—24no—
1392C2—42no—
1393C2—561no—
1394C2C2×#9022911yescharacteristic
1395C2#1174290911yescharacteristic
1396C2#1174290911yescharacteristic
1397C2C2×#9034011yescharacteristic
1398C2#1174308711yescharacteristic
1399C2#1174321811yescharacteristic
1400C2#1174321811yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC4×C7×#123C2
prime radicalC2×#6502C22
hypercenterC4×#123D7
hypocenterC7#34811
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. C4×C7×#123C2semidirect
3. #11740289C2semidirect
5. C4×D4×Dic7C2semidirect
6. C4×#6492C2semidirect
7. C2×#89704C2semidirect
8. #11733030C2semidirect
9. #11733028C2semidirect
10. #11733021C2semidirect
11. #11733019C2semidirect
12. #11732517C2semidirect
13. #11732513C2semidirect
14. #11732510C2semidirect
15. #11732506C2semidirect
16. #11732157C2semidirect
18. #11731910C2semidirect
19. #11731908C2semidirect
20. #11731523C2semidirect
21. #11731521C2semidirect
22. #11731224C2semidirect
23. #11731115C2semidirect
24. #11731065C2semidirect
25. #11731064C2semidirect
26. #11730927C2semidirect
27. #11730926C2semidirect
28. C4×#6441C2semidirect
29. #11730883C2semidirect
30. #11730883C2semidirect
31. #11730882C2semidirect
380. C4×#123D7semidirect
1334. C7#34811semidirect

Maximal subgroups

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

subgroupindex
C4×C7×#1232
#117402922
#117402892
C4×#65022
C4×D4×Dic72
C4×#64922
C2×#897042
#117330302
#117330282
#117330212
#117330192
#117325172
#117325132
#117325102
#117325062
#117321572
#117321512
#117319102
#117319082
#117315232
#117315212
#117312242
#117311152
#117310652
#117310642
#117309272
#117309262
C4×#64412
#117308832
#117308822
#348117