Finite Group Databasebeta

← D7×#2518 #13522796

Subgroups — D7×#2518 #13522796

Order 1792.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2518C211yesmaximal, characteristic, complemented
2D7×#397C211yesmaximal, characteristic, complemented
3#11734945C211yesmaximal, characteristic, complemented
4D7×#396C211yesmaximal, characteristic, complemented
5#11734753C211yesmaximal, characteristic, complemented
6D7×#394C211yesmaximal, characteristic
7D7×#394C211yesmaximal, characteristic
8#11734384C211yesmaximal, characteristic, complemented
9#11734383C211yesmaximal, characteristic, complemented
10D7×#389C211yesmaximal, characteristic, complemented
11#11733495C211yesmaximal, characteristic, complemented
12#11733319C211yesmaximal, characteristic, complemented
13D7×#388C211yesmaximal, characteristic, complemented
14D7×#388C211yesmaximal, characteristic, complemented
15D7×#388C211yesmaximal, characteristic, complemented
16D7×#388C211yesmaximal, characteristic, complemented
17#11733006C211yesmaximal, characteristic, complemented
18#11733005C211yesmaximal, characteristic, complemented
19#11733004C211yesmaximal, characteristic, complemented
20D7×#387C211yesmaximal, characteristic, complemented
21#11732481C211yesmaximal, characteristic, complemented
22D7×#386C211yesmaximal, characteristic
23#11732192C211yesmaximal, characteristic, complemented
24D7×#383C211yesmaximal, characteristic, complemented
25#11731714C211yesmaximal, characteristic, complemented
26#11731683C211yesmaximal, characteristic, complemented
27D7×#382C211yesmaximal, characteristic, complemented
28C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
29C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
30#11730971C211yesmaximal, characteristic, complemented
31#11730970C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×D7×C4⋊C4C2211yescharacteristic
35C2×D7×C4⋊C4C2211yescharacteristic
36C2×D7×C4⋊C4C2211yescharacteristic
37C2×D7×C4⋊C4C2211yescharacteristic
38C2×D7×C4⋊C4C2211yescharacteristic
39C2×D7×C4⋊C4C2211yescharacteristic
40C2×D7×C22⋊C4C2211yescharacteristic
41C2×D7×C22⋊C4C2211yescharacteristic
42C2×D7×C22⋊C4C2211yescharacteristic
43C2×D7×C22⋊C4C2211yescharacteristic
44C2×D7×C22⋊C4C2211yescharacteristic
45C2×D7×C22⋊C4C2211yescharacteristic
46C2×D7×C22⋊C4C2211yescharacteristic
47C2×D7×C22⋊C4C2211yescharacteristic
48C2×D7×C22⋊C4C2211yescharacteristic
49C2×D7×C22⋊C4C2211yescharacteristic
50C2×D7×C22⋊C4C2211yescharacteristic
51C2×C42×D7C2211yescharacteristic
52C2×C42×D7C2211yescharacteristic
53C2×C42×D7C2211yescharacteristic
54C2×C42×D7C2211yescharacteristic
55C7×#397C2211yescharacteristic, complemented
56C7×#396C2211yescharacteristic, complemented
57C7×#394C2211yescharacteristic
58C7×#394C2211yescharacteristic
59C7×#389C2211yescharacteristic, complemented
60C7×#388C2211yescharacteristic, complemented
61C7×#388C2211yescharacteristic, complemented
62C7×#388C2211yescharacteristic, complemented
63C7×#388C2211yescharacteristic, complemented
64C7×#387C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic
66C7×#383C2211yescharacteristic, complemented
67C7×#382C2211yescharacteristic, complemented
68C4×C7×C22⋊C4C2211yescharacteristic, complemented
69C4×C7×C22⋊C4C2211yescharacteristic, complemented
70#89994C2211yescharacteristic
71#89994C2211yescharacteristic
72#89992C2211yescharacteristic
73#89985C2211yescharacteristic
74C4×C22⋊Dic7C2211yescharacteristic, complemented
75C4×C22⋊Dic7C2211yescharacteristic, complemented
76#89766C2211yescharacteristic, complemented
77#89766C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89765C2211yescharacteristic, complemented
80#89763C2211yescharacteristic
81#89763C2211yescharacteristic
82#89762C2211yescharacteristic, complemented
83#89762C2211yescharacteristic, complemented
84#89762C2211yescharacteristic, complemented
85#89762C2211yescharacteristic, complemented
86#89757C2211yescharacteristic, complemented
87#89753C2211yescharacteristic, complemented
88#89750C2211yescharacteristic, complemented
89#89749C2211yescharacteristic, complemented
90#89749C2211yescharacteristic, complemented
91#89745C2211yescharacteristic, complemented
92#89744C2211yescharacteristic, complemented
93#89744C2211yescharacteristic, complemented
94#89733C2211yescharacteristic
95#89733C2211yescharacteristic
96#89733C2211yescharacteristic
97#89733C2211yescharacteristic
98#89731C2211yescharacteristic
99#89731C2211yescharacteristic
100#89731C2211yescharacteristic
101#89731C2211yescharacteristic
102#89730C2211yescharacteristic
103#89728C2211yescharacteristic
104#89728C2211yescharacteristic
105#89725C2211yescharacteristic, complemented
106#89724C2211yescharacteristic, complemented
107#89724C2211yescharacteristic, complemented
108#89723C2211yescharacteristic, complemented
109#89723C2211yescharacteristic, complemented
110#89723C2211yescharacteristic, complemented
111#89723C2211yescharacteristic, complemented
112#89720C2211yescharacteristic, complemented
113#89720C2211yescharacteristic, complemented
114#89720C2211yescharacteristic, complemented
115#89717C2211yescharacteristic, complemented
116#89717C2211yescharacteristic, complemented
117#89717C2211yescharacteristic, complemented
118#89717C2211yescharacteristic, complemented
119#89716C2211yescharacteristic, complemented
120#89716C2211yescharacteristic, complemented
121#89716C2211yescharacteristic, complemented
122#89716C2211yescharacteristic, complemented
123C22⋊C4×Dic7C2211yescharacteristic, complemented
124C22⋊C4×Dic7C2211yescharacteristic, complemented
125C22⋊C4×Dic7C2211yescharacteristic, complemented
126C22⋊C4×Dic7C2211yescharacteristic, complemented
127#89712C2211yescharacteristic, complemented
128#89712C2211yescharacteristic, complemented
129#89712C2211yescharacteristic, complemented
130#89712C2211yescharacteristic, complemented
131C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
132C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
133C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
134C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
135#89709C2211yescharacteristic, complemented
136#89708C2211yescharacteristic, complemented
137#89705C2211yescharacteristic, complemented
138#89700C2211yescharacteristic, complemented
139#89448C2211yescharacteristic, complemented
140#89447C2211yescharacteristic, complemented
141#89447C2211yescharacteristic, complemented
142#89446C2211yescharacteristic, complemented
143#89444C2211yescharacteristic
144#89444C2211yescharacteristic
145#89442C2211yescharacteristic, complemented
146#89442C2211yescharacteristic, complemented
147#89442C2211yescharacteristic, complemented
148#89442C2211yescharacteristic, complemented
149#89441C2211yescharacteristic, complemented
150#89441C2211yescharacteristic, complemented
151#89441C2211yescharacteristic, complemented
152#89441C2211yescharacteristic, complemented
153#89438C2211yescharacteristic, complemented
154#89438C2211yescharacteristic, complemented
155#89438C2211yescharacteristic, complemented
156#89438C2211yescharacteristic, complemented
157#89437C2211yescharacteristic
158#89437C2211yescharacteristic
159D7×#95C2211yescharacteristic
160D7×#95C2211yescharacteristic
161D7×#95C2211yescharacteristic
162D7×#95C2211yescharacteristic
163D7×#95C2211yescharacteristic
164D7×#95C2211yescharacteristic
165D7×#95C2211yescharacteristic
166D7×#95C2211yescharacteristic
167D7×#95C2211yescharacteristic
168D7×#95C2211yescharacteristic
169D7×#95C2211yescharacteristic
170D7×#95C2211yescharacteristic
171#89427C2211yescharacteristic, complemented
172#89426C2211yescharacteristic, complemented
173#89425C2211yescharacteristic, complemented
174#89424C2211yescharacteristic, complemented
175#89423C2211yescharacteristic, complemented
176#89423C2211yescharacteristic, complemented
177#89423C2211yescharacteristic, complemented
178#89423C2211yescharacteristic, complemented
179#89423C2211yescharacteristic, complemented
180#89423C2211yescharacteristic, complemented
181#89422C2211yescharacteristic, complemented
182#89422C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187C2×#2518—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C23×Dic7C2311yescharacteristic
195C2×D4×D7—24no—
196C2×D4×D7—42no—
197C2×D4×D7—42no—
198C22×D28C2311yescharacteristic
199C22×C4×D7—24no—
200C22×C4×D7—24no—
201C22×C4×D7—42no—
202C22×C4×D7C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×C4⋊Dic7C2311yescharacteristic
272C2×C4⋊Dic7C2311yescharacteristic
273C2×C4⋊Dic7C2311yescharacteristic
274C2×C4⋊Dic7C2311yescharacteristic
275C2×C4⋊Dic7C2311yescharacteristic
276C2×C4⋊Dic7C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294C2×C4×Dic7C2311yescharacteristic
295C2×C4×Dic7C2311yescharacteristic
296C2×C4×Dic7C2311yescharacteristic
297C2×C4×Dic7C2311yescharacteristic
298C2×C4×Dic7C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301D7×C4⋊C4—24no—
302D7×C4⋊C4—24no—
303D7×C4⋊C4—42no—
304D7×C4⋊C4—42no—
305D7×C4⋊C4—42no—
306D7×C4⋊C4—42no—
307D7×C22⋊C4—24no—
308D7×C22⋊C4—24no—
309D7×C22⋊C4—24no—
310D7×C22⋊C4—24no—
311D7×C22⋊C4—24no—
312D7×C22⋊C4—24no—
313D7×C22⋊C4—24no—
314D7×C22⋊C4—24no—
315D7×C22⋊C4—42no—
316D7×C22⋊C4—42no—
317D7×C22⋊C4—42no—
318C42×D7—24no—
319C42×D7—24no—
320C42×D7—42no—
321C42×D7—42no—
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
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2518—71no—
371#2518—71no—
372#2518—71no—
373#2518—71no—
374#2518—71no—
375#2518—71no—
376#2518—71no—
377#2518—71no—
378#2518—71no—
379#2518—71no—
380#2518—71no—
381#2518—71no—
382#2518—71no—
383#2518—71no—
384#2518—71no—
385#2518D711yescharacteristic, direct product factor
386C2×#397—71no—
387C2×#396—71no—
388C2×#394—71no—
389C2×#394—71no—
390C2×#389—71no—
391C2×#388—71no—
392C2×#388—71no—
393C2×#388—71no—
394C2×#388—71no—
395C2×#387—71no—
396C2×#386—71no—
397C2×#383—71no—
398C2×#382—71no—
399C2×C4×C22⋊C4—71no—
400C2×C4×C22⋊C4—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—22no—
408C23×D7—22no—
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—22no—
414C23×D7—22no—
415C23×D7—22no—
416C23×D7#4114yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—22no—
421C2×C7×D4—41no—
422C2×C7×D4—41no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C2×C22⋊D7—22no—
440C2×C22⋊D7—22no—
441C2×C22⋊D7—41no—
442C2×C22⋊D7—41no—
443C2×C22⋊D7—41no—
444C2×C22⋊D7—41no—
445C22×Dic7—22no—
446C22×Dic7—22no—
447C22×Dic7—41no—
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461D4×D7—416no—
462C2×D28—22no—
463C2×D28—41no—
464C2×D28—41no—
465C2×C4×D7—22no—
466C2×C4×D7—22no—
467C2×C4×D7—22no—
468C2×C4×D7—22no—
469C2×C4×D7—22no—
470C2×C4×D7—22no—
471C2×C4×D7—22no—
472C2×C4×D7—22no—
473C2×C4×D7—22no—
474C2×C4×D7—22no—
475C2×C4×D7—22no—
476C2×C4×D7—22no—
477C2×C4×D7—22no—
478C2×C4×D7—22no—
479C2×C4×D7—22no—
480C2×C4×D7—22no—
481C2×C4×D7—22no—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—416no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7#4114yes—
508C2×C4×D7#4114yes—
509C2×C4×D7#4114yes—
510C2×C4×D7#4114yes—
511C7×C4⋊C4—22no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—41no—
514C7×C4⋊C4—41no—
515C7×C4⋊C4—41no—
516C7×C4⋊C4—41no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C42×C7—22no—
529C42×C7—22no—
530C42×C7—41no—
531C42×C7—41no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565C4⋊Dic7—22no—
566C4⋊Dic7—22no—
567C4⋊Dic7—41no—
568C4⋊Dic7—41no—
569C4⋊Dic7—41no—
570C4⋊Dic7—41no—
571Dic7⋊C4—22no—
572Dic7⋊C4—22no—
573Dic7⋊C4—22no—
574Dic7⋊C4—22no—
575Dic7⋊C4—41no—
576Dic7⋊C4—41no—
577Dic7⋊C4—41no—
578Dic7⋊C4—41no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4—41no—
583C4×Dic7—22no—
584C4×Dic7—22no—
585C4×Dic7—22no—
586C4×Dic7—22no—
587C4×Dic7—22no—
588C4×Dic7—22no—
589C4×Dic7—41no—
590C4×Dic7—41no—
591C4×Dic7—41no—
592C4×Dic7—41no—
593C4×Dic7—41no—
594C4×Dic7—41no—
595C23×D4—71no—
596C24×C4—71no—
597C22×C4⋊C4—71no—
598C22×C4⋊C4—71no—
599C22×C4⋊C4—71no—
600C22×C4⋊C4—71no—
601C22×C4⋊C4—71no—
602C22×C4⋊C4—71no—
603C22×C22⋊C4—71no—
604C22×C22⋊C4—71no—
605C22×C22⋊C4—71no—
606C22×C22⋊C4—71no—
607C22×C22⋊C4—71no—
608C22×C22⋊C4—71no—
609C22×C22⋊C4—71no—
610C22×C22⋊C4—71no—
611C22×C22⋊C4—71no—
612C22×C22⋊C4—71no—
613C22×C22⋊C4—71no—
614C22×C42—71no—
615C22×C42—71no—
616C22×C42—71no—
617C22×C42—71no—
618#397—71no—
619#397—71no—
620#397—71no—
621#397—71no—
622#397—71no—
623#397—71no—
624#397—71no—
625#397C2×D711yescharacteristic, complemented
626#396—71no—
627#396—71no—
628#396—71no—
629#396—71no—
630#396—71no—
631#396—71no—
632#396—71no—
633#396C2×D711yescharacteristic, complemented
634#394—71no—
635#394—71no—
636#394—71no—
637#394—71no—
638#394—71no—
639#394—71no—
640#394—71no—
641#394—71no—
642#394—71no—
643#394—71no—
644#394—71no—
645#394—71no—
646#394—71no—
647#394—71no—
648#394C2×D711yescharacteristic
649#394C2×D711yescharacteristic
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#389—71no—
655#389—71no—
656#389—71no—
657#389C2×D711yescharacteristic, complemented
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388C2×D711yescharacteristic, complemented
687#388C2×D711yescharacteristic, complemented
688#388C2×D711yescharacteristic, complemented
689#388C2×D711yescharacteristic, complemented
690#387—71no—
691#387—71no—
692#387—71no—
693#387—71no—
694#387—71no—
695#387—71no—
696#387—71no—
697#387C2×D711yescharacteristic, complemented
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386C2×D711yescharacteristic
706#383—71no—
707#383—71no—
708#383—71no—
709#383—71no—
710#383—71no—
711#383—71no—
712#383—71no—
713#383C2×D711yescharacteristic, complemented
714#382—71no—
715#382—71no—
716#382—71no—
717#382—71no—
718#382—71no—
719#382—71no—
720#382—71no—
721#382C2×D711yescharacteristic, complemented
722C4×C22⋊C4—71no—
723C4×C22⋊C4—71no—
724C4×C22⋊C4—71no—
725C4×C22⋊C4—71no—
726C4×C22⋊C4—71no—
727C4×C22⋊C4—71no—
728C4×C22⋊C4—71no—
729C4×C22⋊C4—71no—
730C4×C22⋊C4—71no—
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4C2×D711yescharacteristic, complemented
737C4×C22⋊C4C2×D711yescharacteristic, complemented
738C2×#95—71no—
739C2×#95—71no—
740C2×#95—71no—
741C2×#95—71no—
742C2×#95—71no—
743C2×#95—71no—
744C2×#95—71no—
745C2×#95—71no—
746C2×#95—71no—
747C2×#95—71no—
748C2×#95—71no—
749C2×#95—71no—
750C23×C7—21no—
751C23×C7—21no—
752C23×C7—21no—
753C23×C7—21no—
754C23×C7—21no—
755C23×C7—21no—
756C23×C7—21no—
757C23×C7—21no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7C2×#4112yes—
764C23×C7C2511yescharacteristic
765C22×D7—21no—
766C22×D7—21no—
767C22×D7—21no—
768C22×D7—21no—
769C22×D7—21no—
770C22×D7—21no—
771C22×D7—28no—
772C22×D7—28no—
773C22×D7—28no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—44no—
782C22×D7—44no—
783C22×D7—44no—
784C22×D7—44no—
785C22×D7—44no—
786C22×D7—44no—
787C22×D7—44no—
788C22×D7—44no—
789C22×D7—44no—
790C22×D7—44no—
791C22×D7—44no—
792C22×D7C2×#4112yes—
793C22×D7C2×#4112yes—
794C22×D7C2×#4112yes—
795C22×D7C2×#4112yes—
796C22×D7C2×#4112yes—
797C22×D7C2×#4112yes—
798C22×D7H(5,𝔽2)12yes—
799C22×D7H(5,𝔽2)12yes—
800C7×D4—44no—
801C2×C4×C7—21no—
802C2×C4×C7—21no—
803C2×C4×C7—21no—
804C2×C4×C7—21no—
805C2×C4×C7—21no—
806C2×C4×C7—21no—
807C2×C4×C7—21no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—44no—
837C2×C4×C7C2×#4112yes—
838C2×C4×C7C2×#4112yes—
839C2×C4×C7C2×#4112yes—
840C2×C4×C7C2×#4112yes—
841C22⋊D7—44no—
842C22⋊D7—44no—
843C2×Dic7—21no—
844C2×Dic7—21no—
845C2×Dic7—21no—
846C2×Dic7—21no—
847C2×Dic7—21no—
848C2×Dic7—21no—
849C2×Dic7—21no—
850C2×Dic7—21no—
851C2×Dic7—21no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—44no—
879C2×Dic7C2×#4112yes—
880C2×Dic7C2×#4112yes—
881C2×Dic7C2×#4112yes—
882C2×Dic7C2×#4112yes—
883D28—44no—
884C4×D7—28no—
885C4×D7—28no—
886C4×D7—28no—
887C4×D7—28no—
888C4×D7—44no—
889C4×D7—44no—
890C4×D7—44no—
891C4×D7—44no—
892C4×D7—44no—
893C4×D7—44no—
894C4×D7—44no—
895C4×D7—44no—
896C4×D7—44no—
897C4×D7—44no—
898C4×D7—44no—
899C25—71no—
900C25—71no—
901C22×D4—71no—
902C22×D4—71no—
903C22×D4—71no—
904C22×D4—144no—
905C22×D4—282no—
906C22×D4—282no—
907C22×D4C22×D711yescharacteristic
908C23×C4—71no—
909C23×C4—71no—
910C23×C4—71no—
911C23×C4—71no—
912C23×C4—71no—
913C23×C4—71no—
914C23×C4—71no—
915C23×C4—71no—
916C23×C4—71no—
917C23×C4—71no—
918C23×C4—71no—
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—144no—
925C23×C4—144no—
926C23×C4—282no—
927C23×C4C22×D711yescharacteristic
928C2×C4⋊C4—71no—
929C2×C4⋊C4—71no—
930C2×C4⋊C4—71no—
931C2×C4⋊C4—71no—
932C2×C4⋊C4—71no—
933C2×C4⋊C4—71no—
934C2×C4⋊C4—71no—
935C2×C4⋊C4—71no—
936C2×C4⋊C4—71no—
937C2×C4⋊C4—71no—
938C2×C4⋊C4—71no—
939C2×C4⋊C4—71no—
940C2×C4⋊C4—71no—
941C2×C4⋊C4—71no—
942C2×C4⋊C4—71no—
943C2×C4⋊C4—71no—
944C2×C4⋊C4—71no—
945C2×C4⋊C4—71no—
946C2×C4⋊C4—144no—
947C2×C4⋊C4—144no—
948C2×C4⋊C4—282no—
949C2×C4⋊C4—282no—
950C2×C4⋊C4—282no—
951C2×C4⋊C4—282no—
952C2×C4⋊C4C22×D711yescharacteristic
953C2×C4⋊C4C22×D711yescharacteristic
954C2×C4⋊C4C22×D711yescharacteristic
955C2×C4⋊C4C22×D711yescharacteristic
956C2×C4⋊C4C22×D711yescharacteristic
957C2×C4⋊C4C22×D711yescharacteristic
958C2×C22⋊C4—71no—
959C2×C22⋊C4—71no—
960C2×C22⋊C4—71no—
961C2×C22⋊C4—71no—
962C2×C22⋊C4—71no—
963C2×C22⋊C4—71no—
964C2×C22⋊C4—71no—
965C2×C22⋊C4—71no—
966C2×C22⋊C4—71no—
967C2×C22⋊C4—71no—
968C2×C22⋊C4—71no—
969C2×C22⋊C4—71no—
970C2×C22⋊C4—71no—
971C2×C22⋊C4—71no—
972C2×C22⋊C4—71no—
973C2×C22⋊C4—71no—
974C2×C22⋊C4—71no—
975C2×C22⋊C4—71no—
976C2×C22⋊C4—71no—
977C2×C22⋊C4—71no—
978C2×C22⋊C4—71no—
979C2×C22⋊C4—71no—
980C2×C22⋊C4—71no—
981C2×C22⋊C4—71no—
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—144no—
992C2×C22⋊C4—144no—
993C2×C22⋊C4—144no—
994C2×C22⋊C4—144no—
995C2×C22⋊C4—144no—
996C2×C22⋊C4—144no—
997C2×C22⋊C4—144no—
998C2×C22⋊C4—144no—
999C2×C22⋊C4—282no—
1000C2×C22⋊C4—282no—
1001C2×C22⋊C4—282no—
1002C2×C22⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4C22×D711yescharacteristic
1004C2×C22⋊C4C22×D711yescharacteristic
1005C2×C22⋊C4C22×D711yescharacteristic
1006C2×C22⋊C4C22×D711yescharacteristic
1007C2×C22⋊C4C22×D711yescharacteristic
1008C2×C22⋊C4C22×D711yescharacteristic
1009C2×C22⋊C4C22×D711yescharacteristic
1010C2×C22⋊C4C22×D711yescharacteristic
1011C2×C22⋊C4C22×D711yescharacteristic
1012C2×C22⋊C4C22×D711yescharacteristic
1013C2×C42—71no—
1014C2×C42—71no—
1015C2×C42—71no—
1016C2×C42—71no—
1017C2×C42—71no—
1018C2×C42—71no—
1019C2×C42—71no—
1020C2×C42—71no—
1021C2×C42—71no—
1022C2×C42—71no—
1023C2×C42—71no—
1024C2×C42—71no—
1025C2×C42—144no—
1026C2×C42—144no—
1027C2×C42—282no—
1028C2×C42—282no—
1029C2×C42C22×D711yescharacteristic
1030C2×C42C22×D711yescharacteristic
1031C2×C42C22×D711yescharacteristic
1032C2×C42C22×D711yescharacteristic
1033#95—71no—
1034#95—71no—
1035#95—71no—
1036#95—71no—
1037#95—71no—
1038#95—71no—
1039#95—71no—
1040#95—71no—
1041#95—71no—
1042#95—71no—
1043#95—71no—
1044#95—71no—
1045#95—71no—
1046#95—71no—
1047#95—71no—
1048#95—71no—
1049#95—71no—
1050#95—71no—
1051#95—71no—
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95C22×D711yescharacteristic
1070#95C22×D711yescharacteristic
1071#95C22×D711yescharacteristic
1072#95C22×D711yescharacteristic
1073#95C22×D711yescharacteristic
1074#95C22×D711yescharacteristic
1075#95C22×D711yescharacteristic
1076#95C22×D711yescharacteristic
1077#95C22×D711yescharacteristic
1078#95C22×D711yescharacteristic
1079#95C22×D711yescharacteristic
1080#95C22×D711yescharacteristic
1081C22×C7—22no—
1082C22×C7—22no—
1083C22×C7—22no—
1084C22×C7—41no—
1085C22×C7—41no—
1086C22×C7—41no—
1087C22×C7—41no—
1088C22×C7—41no—
1089C22×C7—41no—
1090C22×C7—41no—
1091C22×C7—41no—
1092C22×C7—41no—
1093C22×C7—41no—
1094C22×C7—41no—
1095C22×C7C22×#4111yescharacteristic
1096C22×C7C22×#4111yescharacteristic
1097C22×C7C22×#4111yescharacteristic
1098C22×C7C22×#4111yescharacteristic
1099C22×C7C22×#4111yescharacteristic
1100C22×C7C2×H(5,𝔽2)11yescharacteristic
1101C22×C7C2×H(5,𝔽2)11yescharacteristic
1102C2×D7—22no—
1103C2×D7—22no—
1104C2×D7—22no—
1105C2×D7—41no—
1106C2×D7—41no—
1107C2×D7—41no—
1108C2×D7—41no—
1109C2×D7—416no—
1110C2×D7—41no—
1111C2×D7—41no—
1112C2×D7—41no—
1113C2×D7—41no—
1114C2×D7—41no—
1115C2×D7—41no—
1116C2×D7—41no—
1117C2×D7—88no—
1118C2×D7#52914yes—
1119C2×D7#52914yes—
1120C2×D7#53814yes—
1121C2×D7#55114yes—
1122C2×D7#55314yes—
1123C2×D7#55314yes—
1124C2×D7#55514yes—
1125C4×C7—22no—
1126C4×C7—22no—
1127C4×C7—22no—
1128C4×C7—22no—
1129C4×C7—41no—
1130C4×C7—41no—
1131C4×C7—41no—
1132C4×C7—41no—
1133C4×C7—41no—
1134C4×C7—41no—
1135C4×C7—41no—
1136C4×C7—41no—
1137C4×C7—41no—
1138Dic7—22no—
1139Dic7—22no—
1140Dic7—22no—
1141Dic7—22no—
1142Dic7—41no—
1143Dic7—41no—
1144Dic7—41no—
1145Dic7—41no—
1146Dic7—41no—
1147Dic7—41no—
1148Dic7—41no—
1149Dic7—41no—
1150Dic7—41no—
1151C24—71no—
1152C24—74no—
1153C24—71no—
1154C24—71no—
1155C24—142no—
1156C24—142no—
1157C24—142no—
1158C24—142no—
1159C24—142no—
1160C24—142no—
1161C24—142no—
1162C24—142no—
1163C24—142no—
1164C24—142no—
1165C24—142no—
1166C24—142no—
1167C24—142no—
1168C24C23×D711yescharacteristic
1169C24C23×D711yescharacteristic
1170C2×D4—22no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—142no—
1174C2×D4—142no—
1175C2×D4—142no—
1176C2×D4—281no—
1177C2×D4—281no—
1178C2×D4—281no—
1179C2×D4—281no—
1180C2×D4—281no—
1181C2×D4—281no—
1182C2×D4—2816no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—41no—
1186C22×C4—71no—
1187C22×C4—71no—
1188C22×C4—71no—
1189C22×C4—71no—
1190C22×C4—74no—
1191C22×C4—74no—
1192C22×C4—74no—
1193C22×C4—74no—
1194C22×C4—71no—
1195C22×C4—71no—
1196C22×C4—71no—
1197C22×C4—71no—
1198C22×C4—71no—
1199C22×C4—71no—
1200C22×C4—71no—
1201C22×C4—71no—
1202C22×C4—71no—
1203C22×C4—142no—
1204C22×C4—142no—
1205C22×C4—142no—
1206C22×C4—142no—
1207C22×C4—142no—
1208C22×C4—142no—
1209C22×C4—142no—
1210C22×C4—142no—
1211C22×C4—142no—
1212C22×C4—142no—
1213C22×C4—142no—
1214C22×C4—142no—
1215C22×C4—142no—
1216C22×C4—142no—
1217C22×C4—142no—
1218C22×C4—142no—
1219C22×C4—142no—
1220C22×C4—142no—
1221C22×C4—142no—
1222C22×C4—142no—
1223C22×C4—142no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—2816no—
1247C22×C4—281no—
1248C22×C4C23×D711yescharacteristic
1249C22×C4C23×D711yescharacteristic
1250C22×C4C23×D711yescharacteristic
1251C22×C4C23×D711yescharacteristic
1252C22×C4C23×D711yescharacteristic
1253C22×C4C23×D711yescharacteristic
1254C22×C4C23×D711yescharacteristic
1255C22×C4C23×D711yescharacteristic
1256C22×C4C23×D711yescharacteristic
1257C22×C4C23×D711yescharacteristic
1258C22×C4C23×D711yescharacteristic
1259C22×C4C23×D711yescharacteristic
1260C22×C4C23×D711yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—142no—
1268C4⋊C4—142no—
1269C4⋊C4—142no—
1270C4⋊C4—142no—
1271C4⋊C4—142no—
1272C4⋊C4—142no—
1273C4⋊C4—281no—
1274C4⋊C4—281no—
1275C4⋊C4—281no—
1276C4⋊C4—281no—
1277C4⋊C4—281no—
1278C4⋊C4—281no—
1279C4⋊C4—281no—
1280C4⋊C4—281no—
1281C4⋊C4—281no—
1282C4⋊C4—281no—
1283C4⋊C4—281no—
1284C4⋊C4—281no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—142no—
1297C22⋊C4—142no—
1298C22⋊C4—142no—
1299C22⋊C4—142no—
1300C22⋊C4—142no—
1301C22⋊C4—142no—
1302C22⋊C4—142no—
1303C22⋊C4—142no—
1304C22⋊C4—142no—
1305C22⋊C4—142no—
1306C22⋊C4—142no—
1307C22⋊C4—142no—
1308C22⋊C4—142no—
1309C22⋊C4—142no—
1310C22⋊C4—142no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—281no—
1321C22⋊C4—281no—
1322C22⋊C4—281no—
1323C22⋊C4—281no—
1324C22⋊C4—281no—
1325C22⋊C4—281no—
1326C22⋊C4—281no—
1327C22⋊C4—281no—
1328C22⋊C4—281no—
1329C42—22no—
1330C42—22no—
1331C42—41no—
1332C42—41no—
1333C42—142no—
1334C42—142no—
1335C42—142no—
1336C42—142no—
1337C42—142no—
1338C42—142no—
1339C42—281no—
1340C42—281no—
1341C42—281no—
1342C42—281no—
1343C42—281no—
1344C42—281no—
1345C2×C7—42no—
1346C2×C7—81no—
1347C2×C7C2×#52911yescharacteristic
1348C2×C7C2×#52911yescharacteristic
1349C2×C7C2×#53811yescharacteristic
1350C2×C7C2×#55111yescharacteristic
1351C2×C7C2×#55311yescharacteristic
1352C2×C7C2×#55311yescharacteristic
1353C2×C7C2×#55511yescharacteristic
1354D7—42no—
1355D7—81no—
1356D7#251818yesdirect product factor
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—72no—
1371C23—72no—
1372C23—72no—
1373C23—72no—
1374C23—72no—
1375C23—72no—
1376C23—72no—
1377C23—72no—
1378C23—148no—
1379C23—148no—
1380C23—148no—
1381C23—141no—
1382C23—141no—
1383C23—141no—
1384C23—141no—
1385C23—141no—
1386C23—141no—
1387C23—141no—
1388C23—141no—
1389C23—141no—
1390C23—141no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—284no—
1395C23—284no—
1396C23—284no—
1397C23—284no—
1398C23—284no—
1399C23—284no—
1400C23—284no—
1401C23—284no—
1402C23—284no—
1403C23—284no—
1404C23—284no—
1405C23D7×#4112yes—
1406C23C24×D711yescharacteristic
1407D4—44no—
1408D4—284no—
1409D4—284no—
1410D4—284no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—72no—
1448C2×C4—72no—
1449C2×C4—72no—
1450C2×C4—72no—
1451C2×C4—148no—
1452C2×C4—148no—
1453C2×C4—148no—
1454C2×C4—148no—
1455C2×C4—141no—
1456C2×C4—141no—
1457C2×C4—141no—
1458C2×C4—141no—
1459C2×C4—141no—
1460C2×C4—141no—
1461C2×C4—141no—
1462C2×C4—141no—
1463C2×C4—141no—
1464C2×C4—141no—
1465C2×C4—141no—
1466C2×C4—141no—
1467C2×C4—141no—
1468C2×C4—141no—
1469C2×C4—141no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—284no—
1491C2×C4—284no—
1492C2×C4—284no—
1493C2×C4—284no—
1494C2×C4—284no—
1495C2×C4—284no—
1496C2×C4—284no—
1497C2×C4—284no—
1498C2×C4—284no—
1499C2×C4—284no—
1500C2×C4—284no—
1501C2×C4—284no—
1502C2×C4D7×#4112yes—
1503C2×C4D7×#4112yes—
1504C2×C4D7×#4112yes—
1505C2×C4D7×#4112yes—
1506C7C2×#251811yescharacteristic, complemented, Sylow
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—74no—
1522C22—74no—
1523C22—74no—
1524C22—74no—
1525C22—74no—
1526C22—74no—
1527C22—74no—
1528C22—142no—
1529C22—142no—
1530C22—142no—
1531C22—2816no—
1532C22—281no—
1533C22—281no—
1534C22—281no—
1535C22—281no—
1536C22—281no—
1537C22—281no—
1538C22—281no—
1539C22—281no—
1540C22—281no—
1541C22—281no—
1542C22—281no—
1543C22—568no—
1544C22C2×D7×#4111yescharacteristic
1545C22C2×D7×#4111yescharacteristic
1546C22C2×D7×#4111yescharacteristic
1547C22C2×D7×#4111yescharacteristic
1548C22C2×D7×#4111yescharacteristic
1549C22D7×H(5,𝔽2)11yescharacteristic
1550C22D7×H(5,𝔽2)11yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—142no—
1565C4—142no—
1566C4—142no—
1567C4—142no—
1568C4—281no—
1569C4—281no—
1570C4—281no—
1571C4—281no—
1572C4—281no—
1573C4—281no—
1574C4—281no—
1575C4—281no—
1576C4—281no—
1577C2—42no—
1578C2—78no—
1579C2—81no—
1580C2—282no—
1581C2—561no—
1582C2D7×#52911yescharacteristic
1583C2D7×#52911yescharacteristic
1584C2D7×#53811yescharacteristic
1585C2D7×#55111yescharacteristic
1586C2D7×#55311yescharacteristic
1587C2D7×#55311yescharacteristic
1588C2D7×#55511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2518C2
prime radicalC22×D4×D7C22
hypercenter#2518D7
hypocenterC7C2×#2518
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2518

Complements

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

NH ≅ G/Ntype
1. C7×#2518C2semidirect
2. D7×#397C2semidirect
3. #11734945C2semidirect
4. D7×#396C2semidirect
5. #11734753C2semidirect
8. #11734384C2semidirect
9. #11734383C2semidirect
10. D7×#389C2semidirect
11. #11733495C2semidirect
12. #11733319C2semidirect
13. D7×#388C2semidirect
14. D7×#388C2semidirect
15. D7×#388C2semidirect
16. D7×#388C2semidirect
17. #11733006C2semidirect
18. #11733005C2semidirect
19. #11733004C2semidirect
20. D7×#387C2semidirect
21. #11732481C2semidirect
23. #11732192C2semidirect
24. D7×#383C2semidirect
25. #11731714C2semidirect
26. #11731683C2semidirect
27. D7×#382C2semidirect
28. C4×D7×C22⋊C4C2semidirect
29. C4×D7×C22⋊C4C2semidirect
30. #11730971C2semidirect
31. #11730970C2semidirect
55. C7×#397C22semidirect
56. C7×#396C22semidirect
59. C7×#389C22semidirect
60. C7×#388C22semidirect
61. C7×#388C22semidirect
62. C7×#388C22semidirect
63. C7×#388C22semidirect
64. C7×#387C22semidirect
66. C7×#383C22semidirect
67. C7×#382C22semidirect
68. C4×C7×C22⋊C4C22semidirect
69. C4×C7×C22⋊C4C22semidirect
74. C4×C22⋊Dic7C22semidirect
75. C4×C22⋊Dic7C22semidirect
76. #89766C22semidirect
77. #89766C22semidirect
78. #89766C22semidirect
79. #89765C22semidirect
82. #89762C22semidirect
83. #89762C22semidirect
84. #89762C22semidirect
85. #89762C22semidirect
86. #89757C22semidirect
87. #89753C22semidirect
88. #89750C22semidirect
89. #89749C22semidirect
90. #89749C22semidirect
91. #89745C22semidirect
92. #89744C22semidirect
93. #89744C22semidirect
105. #89725C22semidirect
106. #89724C22semidirect
107. #89724C22semidirect
108. #89723C22semidirect
109. #89723C22semidirect
110. #89723C22semidirect
111. #89723C22semidirect
112. #89720C22semidirect
113. #89720C22semidirect
114. #89720C22semidirect
115. #89717C22semidirect
116. #89717C22semidirect
117. #89717C22semidirect
118. #89717C22semidirect
119. #89716C22semidirect
120. #89716C22semidirect
121. #89716C22semidirect
122. #89716C22semidirect
123. C22⋊C4×Dic7C22semidirect
124. C22⋊C4×Dic7C22semidirect
125. C22⋊C4×Dic7C22semidirect
126. C22⋊C4×Dic7C22semidirect
127. #89712C22semidirect
128. #89712C22semidirect
129. #89712C22semidirect
130. #89712C22semidirect
131. C4×(C2×D7)⋊C4C22semidirect
132. C4×(C2×D7)⋊C4C22semidirect
133. C4×(C2×D7)⋊C4C22semidirect
134. C4×(C2×D7)⋊C4C22semidirect
135. #89709C22semidirect
136. #89708C22semidirect
137. #89705C22semidirect
138. #89700C22semidirect
139. #89448C22semidirect
140. #89447C22semidirect
141. #89447C22semidirect
142. #89446C22semidirect
145. #89442C22semidirect
146. #89442C22semidirect
147. #89442C22semidirect
148. #89442C22semidirect
149. #89441C22semidirect
150. #89441C22semidirect
151. #89441C22semidirect
152. #89441C22semidirect
153. #89438C22semidirect
154. #89438C22semidirect
155. #89438C22semidirect
156. #89438C22semidirect
171. #89427C22semidirect
172. #89426C22semidirect
173. #89425C22semidirect
174. #89424C22semidirect
175. #89423C22semidirect
176. #89423C22semidirect
177. #89423C22semidirect
178. #89423C22semidirect
179. #89423C22semidirect
180. #89423C22semidirect
181. #89422C22semidirect
182. #89422C22semidirect
183. #89422C22semidirect
184. #89422C22semidirect
185. #89419C22semidirect
186. #89419C22semidirect
385. #2518D7direct (N × H)
625. #397C2×D7semidirect
633. #396C2×D7semidirect
657. #389C2×D7semidirect
686. #388C2×D7semidirect
687. #388C2×D7semidirect
688. #388C2×D7semidirect
689. #388C2×D7semidirect
697. #387C2×D7semidirect
713. #383C2×D7semidirect
721. #382C2×D7semidirect
736. C4×C22⋊C4C2×D7semidirect
737. C4×C22⋊C4C2×D7semidirect
1356. D7#2518direct (N × H)
1506. C7C2×#2518semidirect

Maximal subgroups

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

subgroupindex
C7×#25182
D7×#3972
#117349452
D7×#3962
#117347532
D7×#3942
#117343842
#117343832
D7×#3892
#117334952
#117333192
D7×#3882
#117330062
#117330052
#117330042
D7×#3872
#117324812
D7×#3862
#117321922
D7×#3832
#117317142
#117316832
D7×#3822
C4×D7×C22⋊C42
#117309712
#117309702
C2×#25187