Finite Group Databasebeta

← #13526465

Subgroups — #13526465

Order 1792.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C7×D4C211yesmaximal, characteristic, complemented
2C2×#90251C211yesmaximal, characteristic, complemented
3#11741497C211yesmaximal, characteristic, complemented
4#11741493C211yesmaximal, characteristic, complemented
5#11741478C211yesmaximal, characteristic, complemented
6#11741477C211yesmaximal, characteristic, complemented
7C4×#6516C211yesmaximal, characteristic, complemented
8C2×#89985C211yesmaximal, characteristic, complemented
9#11739868C211yesmaximal, characteristic, complemented
10#11739867C211yesmaximal, characteristic, complemented
11#11739866C211yesmaximal, characteristic, complemented
12#11739865C211yesmaximal, characteristic, complemented
13#11739856C211yesmaximal, characteristic, complemented
14#11739852C211yesmaximal, characteristic, complemented
15#11739849C211yesmaximal, characteristic, complemented
16#11739840C211yesmaximal, characteristic, complemented
17#11739815C211yesmaximal, characteristic, complemented
18#11739810C211yesmaximal, characteristic, complemented
19#11739809C211yesmaximal, characteristic, complemented
20#11739806C211yesmaximal, characteristic, complemented
21#11739802C211yesmaximal, characteristic, complemented
22#11739772C211yesmaximal, characteristic, complemented
23#11739769C211yesmaximal, characteristic, complemented
24#11739640C211yesmaximal, characteristic, complemented
25#11739620C211yesmaximal, characteristic, complemented
26#11739572C211yesmaximal, characteristic, complemented
27#11739556C211yesmaximal, characteristic, complemented
28#11739555C211yesmaximal, characteristic, complemented
29#11739554C211yesmaximal, characteristic, complemented
30#11739523C211yesmaximal, characteristic, complemented
31#11739522C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C24×C4×C7C2211yescharacteristic
34C24×C4×C7C2211yescharacteristic, complemented
35C23×C22⋊D7C2211yescharacteristic
36C2×C4×C7×D4—28no—
37C2×C4×C7×D4C2211yescharacteristic
38C2×C4×C7×D4C2211yescharacteristic
39C2×C4×C7×D4C2211yescharacteristic
40C2×C4×C7×D4C2211yescharacteristic
41C2×C4×C7×D4C2211yescharacteristic, complemented
42C2×C4×C7×D4C2211yescharacteristic, complemented
43C2×C4×C7×D4C2211yescharacteristic, complemented
44C2×C4×C7×D4C2211yescharacteristic, complemented
45C22×C7×C4⋊C4C2211yescharacteristic, complemented
46C22×C7×C22⋊C4C2211yescharacteristic
47C22×C7×C22⋊C4C2211yescharacteristic, complemented
48C22×C42×C7C2211yescharacteristic, complemented
49C2×#6516C2211yescharacteristic
50C2×#6516C2211yescharacteristic
51C2×#6516C2211yescharacteristic
52C2×#6516C2211yescharacteristic, complemented
53C22×C22⋊Dic7C2211yescharacteristic
54C2×#6502C2211yescharacteristic
55C2×#6502C2211yescharacteristic
56C2×#6500C2211yescharacteristic
57C2×#6500C2211yescharacteristic
58C2×#6493C2211yescharacteristic
59C2×#6493C2211yescharacteristic
60C2×#6493C2211yescharacteristic, complemented
61C2×#6493C2211yescharacteristic, complemented
62C2×#6492C2211yescharacteristic, complemented
63C2×#6492C2211yescharacteristic, complemented
64C2×C4×C22⋊D7C2211yescharacteristic, complemented
65C2×C4×C22⋊D7C2211yescharacteristic, complemented
66C2×C4×C22⋊D7C2211yescharacteristic, complemented
67C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
68C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
69C2×#6487C2211yescharacteristic, complemented
70#90251—28no—
71C2×#6461C2211yescharacteristic, complemented
72C2×#6457C2211yescharacteristic, complemented
73C2×#6448C2211yescharacteristic, complemented
74C2×#6447C2211yescharacteristic, complemented
75C2×#6445C2211yescharacteristic, complemented
76C2×#6441C2211yescharacteristic, complemented
77C2×#6439C2211yescharacteristic, complemented
78C2×#6438C2211yescharacteristic, complemented
79#90019C2211yescharacteristic
80#90019C2211yescharacteristic, complemented
81#89995C2211yescharacteristic
82#89995C2211yescharacteristic
83#89995C2211yescharacteristic
84#89995C2211yescharacteristic
85#89995C2211yescharacteristic, complemented
86#89995C2211yescharacteristic, complemented
87#89994C2211yescharacteristic, complemented
88#89994C2211yescharacteristic, complemented
89#89992C2211yescharacteristic
90#89992C2211yescharacteristic
91#89992C2211yescharacteristic
92#89992C2211yescharacteristic
93#89985C2211yescharacteristic
94#89985C2211yescharacteristic
95#89985C2211yescharacteristic
96#89985C2211yescharacteristic
97#89985C2211yescharacteristic
98#89985C2211yescharacteristic
99#89985C2211yescharacteristic
100#89985C2211yescharacteristic
101#89985C2211yescharacteristic, complemented
102#89985C2211yescharacteristic, complemented
103#89985C2211yescharacteristic, complemented
104#89985C2211yescharacteristic, complemented
105#89985C2211yescharacteristic, complemented
106#89985C2211yescharacteristic, complemented
107#89985C2211yescharacteristic, complemented
108#89985C2211yescharacteristic, complemented
109#89985C2211yescharacteristic, complemented
110#89985C2211yescharacteristic, complemented
111#89985C2211yescharacteristic, complemented
112#89985C2211yescharacteristic, complemented
113#89985C2211yescharacteristic, complemented
114#89985C2211yescharacteristic, complemented
115#89984C2211yescharacteristic, complemented
116#89984C2211yescharacteristic, complemented
117#89984C2211yescharacteristic, complemented
118#89983C2211yescharacteristic, complemented
119#89983C2211yescharacteristic, complemented
120#89982C2211yescharacteristic, complemented
121#89982C2211yescharacteristic, complemented
122#89982C2211yescharacteristic, complemented
123#89982C2211yescharacteristic, complemented
124#89982C2211yescharacteristic, complemented
125#89982C2211yescharacteristic, complemented
126#89982C2211yescharacteristic, complemented
127#89982C2211yescharacteristic, complemented
128C4×C22⋊Dic7C2211yescharacteristic, complemented
129C4×C22⋊Dic7C2211yescharacteristic, complemented
130C4×C22⋊Dic7C2211yescharacteristic, complemented
131C2×C7⋊#95C2211yescharacteristic, complemented
132C2×C7⋊#95C2211yescharacteristic, complemented
133#89766C2211yescharacteristic, complemented
134#89765C2211yescharacteristic, complemented
135#89765C2211yescharacteristic, complemented
136#89764C2211yescharacteristic, complemented
137#89763C2211yescharacteristic, complemented
138#89762C2211yescharacteristic, complemented
139#89762C2211yescharacteristic, complemented
140#89761C2211yescharacteristic, complemented
141#89758C2211yescharacteristic, complemented
142#89756C2211yescharacteristic, complemented
143#89754C2211yescharacteristic, complemented
144#89753C2211yescharacteristic, complemented
145#89753C2211yescharacteristic, complemented
146#89750C2211yescharacteristic, complemented
147#89733C2211yescharacteristic, complemented
148#89733C2211yescharacteristic, complemented
149#89733C2211yescharacteristic, complemented
150#89732C2211yescharacteristic, complemented
151#89732C2211yescharacteristic, complemented
152#89732C2211yescharacteristic, complemented
153#89731C2211yescharacteristic, complemented
154#89731C2211yescharacteristic, complemented
155#89731C2211yescharacteristic, complemented
156#89730C2211yescharacteristic, complemented
157#89729C2211yescharacteristic, complemented
158#89729C2211yescharacteristic, complemented
159#89728C2211yescharacteristic, complemented
160#89727C2211yescharacteristic, complemented
161#89724C2211yescharacteristic, complemented
162#89723C2211yescharacteristic, complemented
163#89723C2211yescharacteristic, complemented
164#89722C2211yescharacteristic, complemented
165#89722C2211yescharacteristic, complemented
166#89721C2211yescharacteristic, complemented
167#89720C2211yescharacteristic, complemented
168#89720C2211yescharacteristic, complemented
169#89720C2211yescharacteristic, complemented
170#89719C2211yescharacteristic, complemented
171#89719C2211yescharacteristic, complemented
172#89718C2211yescharacteristic, complemented
173#89716C2211yescharacteristic, complemented
174#89714C2211yescharacteristic, complemented
175#89712C2211yescharacteristic, complemented
176#89712C2211yescharacteristic, complemented
177#89712C2211yescharacteristic, complemented
178#89712C2211yescharacteristic, complemented
179#89712C2211yescharacteristic, complemented
180#89712C2211yescharacteristic, complemented
181#89712C2211yescharacteristic, complemented
182#89711C2211yescharacteristic, complemented
183#89709C2211yescharacteristic, complemented
184#89708C2211yescharacteristic, complemented
185#89705C2211yescharacteristic, complemented
186#89705C2211yescharacteristic, complemented
187#89705C2211yescharacteristic, complemented
188#89701C2211yescharacteristic, complemented
189#34990—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C25×C7C2311yescharacteristic
192C24×D7C2311yescharacteristic
193C22×C7×D4—24no—
194C22×C7×D4—24no—
195C22×C7×D4—24no—
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C22×C7×D4C2311yescharacteristic
199C22×C7×D4C2311yescharacteristic
200C23×C4×C7—24no—
201C23×C4×C7—24no—
202C23×C4×C7—42no—
203C23×C4×C7—42no—
204C23×C4×C7—42no—
205C23×C4×C7—42no—
206C23×C4×C7C2311yescharacteristic
207C23×C4×C7C2311yescharacteristic
208C23×C4×C7C2311yescharacteristic
209C23×C4×C7C2311yescharacteristic
210C23×C4×C7C2311yescharacteristic
211C23×C4×C7C2311yescharacteristic
212C23×C4×C7C2311yescharacteristic
213C23×C4×C7C2311yescharacteristic
214C23×C4×C7C2311yescharacteristic
215C23×C4×C7C2311yescharacteristic
216C23×C4×C7C2311yescharacteristic
217C23×C4×C7C2311yescharacteristic
218C23×C4×C7C2311yescharacteristic
219C22×C22⋊D7—24no—
220C22×C22⋊D7—42no—
221C22×C22⋊D7—42no—
222C22×C22⋊D7C2311yescharacteristic
223C22×C22⋊D7C2311yescharacteristic
224C22×C22⋊D7C2311yescharacteristic
225C22×C22⋊D7C2311yescharacteristic
226C22×C22⋊D7C2311yescharacteristic
227C22×C22⋊D7C2311yescharacteristic
228C22×C22⋊D7C2311yescharacteristic
229C22×C22⋊D7C2311yescharacteristic
230C22×C22⋊D7C2311yescharacteristic
231C22×C22⋊D7C2311yescharacteristic
232C22×C22⋊D7C2311yescharacteristic
233C22×C22⋊D7C2311yescharacteristic
234C22×C22⋊D7C2311yescharacteristic
235C23×Dic7C2311yescharacteristic
236C23×Dic7C2311yescharacteristic
237C23×Dic7C2311yescharacteristic
238C22×D28C2311yescharacteristic
239C22×D28C2311yescharacteristic
240C22×C4×D7C2311yescharacteristic
241C22×Dic14C2311yescharacteristic
242C4×C7×D4—24no—
243C4×C7×D4—24no—
244C4×C7×D4—24no—
245C4×C7×D4—24no—
246C4×C7×D4—24no—
247C4×C7×D4—24no—
248C4×C7×D4—24no—
249C4×C7×D4D418yescomplemented
250C2×C7×C4⋊C4—24no—
251C2×C7×C4⋊C4C2311yescharacteristic
252C2×C7×C4⋊C4C2311yescharacteristic
253C2×C7×C4⋊C4C2311yescharacteristic
254C2×C7×C4⋊C4C2311yescharacteristic
255C2×C7×C22⋊C4—24no—
256C2×C7×C22⋊C4—24no—
257C2×C7×C22⋊C4C2311yescharacteristic
258C2×C7×C22⋊C4C2311yescharacteristic
259C2×C7×C22⋊C4C2311yescharacteristic
260C2×C7×C22⋊C4C2311yescharacteristic
261C2×C7×C22⋊C4C2311yescharacteristic
262C2×C7×C22⋊C4C2311yescharacteristic
263C2×C7×C22⋊C4C2311yescharacteristic
264C2×C7×C22⋊C4C2311yescharacteristic
265C2×C42×C7—24no—
266C2×C42×C7C2311yescharacteristic
267C2×C42×C7C2311yescharacteristic
268C2×C42×C7C2311yescharacteristic
269C2×C42×C7C2311yescharacteristic
270#6516—24no—
271#6516—42no—
272#6516—42no—
273#6516—42no—
274C2×C22⋊Dic7—42no—
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277C2×C22⋊Dic7C2311yescharacteristic
278C2×C22⋊Dic7C2311yescharacteristic
279C2×C22⋊Dic7C2311yescharacteristic
280C2×C22⋊Dic7C2311yescharacteristic
281C2×C22⋊Dic7C2311yescharacteristic
282C2×C22⋊Dic7C2311yescharacteristic
283C2×C22⋊Dic7C2311yescharacteristic
284C2×C22⋊Dic7C2311yescharacteristic
285C2×C22⋊Dic7C2311yescharacteristic
286C2×C22⋊Dic7C2311yescharacteristic
287C2×C22⋊Dic7C2311yescharacteristic
288C2×C22⋊Dic7C2311yescharacteristic
289C2×C22⋊Dic7C2311yescharacteristic
290C2×C22⋊Dic7C2311yescharacteristic
291C2×C22⋊Dic7C2311yescharacteristic
292C2×C22⋊Dic7C2311yescharacteristic
293C2×C22⋊Dic7C2311yescharacteristic
294C2×C22⋊Dic7C2311yescharacteristic
295C2×C22⋊Dic7C2311yescharacteristic
296C2×C22⋊Dic7C2311yescharacteristic
297C2×C22⋊Dic7C2311yescharacteristic
298#6502—24no—
299#6502—24no—
300#6500—24no—
301#6500—24no—
302#6493—24no—
303#6493—42no—
304#6493—42no—
305#6493—42no—
306#6492—24no—
307#6492—42no—
308C4×C22⋊D7—24no—
309C4×C22⋊D7—42no—
310C4×C22⋊D7—42no—
311C2×(C2×D7)⋊C4—24no—
312C2×(C2×D7)⋊C4—42no—
313C2×(C2×D7)⋊C4C2311yescharacteristic
314C2×(C2×D7)⋊C4C2311yescharacteristic
315C2×(C2×D7)⋊C4C2311yescharacteristic
316C2×(C2×D7)⋊C4C2311yescharacteristic
317C2×(C2×D7)⋊C4C2311yescharacteristic
318C2×(C2×D7)⋊C4C2311yescharacteristic
319C2×(C2×D7)⋊C4C2311yescharacteristic
320C2×(C2×D7)⋊C4C2311yescharacteristic
321C2×(C2×D7)⋊C4C2311yescharacteristic
322C2×(C2×D7)⋊C4C2311yescharacteristic
323C2×(C2×D7)⋊C4C2311yescharacteristic
324C2×(C2×D7)⋊C4C2311yescharacteristic
325C2×(C2×D7)⋊C4C2311yescharacteristic
326C2×(C2×D7)⋊C4C2311yescharacteristic
327C2×(C2×D7)⋊C4C2311yescharacteristic
328C2×(C2×D7)⋊C4C2311yescharacteristic
329C2×(C2×D7)⋊C4C2311yescharacteristic
330C2×(C2×D7)⋊C4C2311yescharacteristic
331C2×(C2×D7)⋊C4C2311yescharacteristic
332C2×(C2×D7)⋊C4C2311yescharacteristic
333C2×(C2×D7)⋊C4C2311yescharacteristic
334C2×(C2×D7)⋊C4C2311yescharacteristic
335C2×(C2×D7)⋊C4C2311yescharacteristic
336C2×(C2×D7)⋊C4C2311yescharacteristic
337C2×(C2×D7)⋊C4C2311yescharacteristic
338C2×C4⋊Dic7C2311yescharacteristic
339C2×C4⋊Dic7C2311yescharacteristic
340C2×C4⋊Dic7C2311yescharacteristic
341C2×C4⋊Dic7C2311yescharacteristic
342C2×C4⋊Dic7C2311yescharacteristic
343#6487—42no—
344C2×Dic7⋊C4C2311yescharacteristic
345C2×Dic7⋊C4C2311yescharacteristic
346C2×Dic7⋊C4C2311yescharacteristic
347C2×Dic7⋊C4C2311yescharacteristic
348C2×Dic7⋊C4C2311yescharacteristic
349C2×Dic7⋊C4C2311yescharacteristic
350C2×Dic7⋊C4C2311yescharacteristic
351C2×Dic7⋊C4C2311yescharacteristic
352C2×Dic7⋊C4C2311yescharacteristic
353C2×Dic7⋊C4C2311yescharacteristic
354C2×Dic7⋊C4C2311yescharacteristic
355C2×C4×Dic7C2311yescharacteristic
356C2×C4×Dic7C2311yescharacteristic
357C2×C4×Dic7C2311yescharacteristic
358#6461—24no—
359#6457—24no—
360#6448—24no—
361#6447—24no—
362#6445—24no—
363#6441—24no—
364#6439—24no—
365#6438—24no—
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C7⋊#95C2311yescharacteristic
393C7⋊#95C2311yescharacteristic
394C7⋊#95C2311yescharacteristic
395C7⋊#95C2311yescharacteristic
396C7⋊#95C2311yescharacteristic
397C7⋊#95C2311yescharacteristic
398C2×#538—71no—
399C22×C4×D4D711yescharacteristic, complemented
400#2852—71no—
401#2850—71no—
402#2849—71no—
403#2847—71no—
404#2636—71no—
405#2635—71no—
406#2631—71no—
407#2630—71no—
408#2481—71no—
409#2472—71no—
410#2467—71no—
411#2459—71no—
412#2456—71no—
413#2456—71no—
414#2450—71no—
415#2444—71no—
416#2443—71no—
417#2437—71no—
418#2424—71no—
419#2424—71no—
420#2418—71no—
421#2410—71no—
422#2410—71no—
423#2403—71no—
424#2325—71no—
425#2321—71no—
426#2318—71no—
427C4×#120—71no—
428C2×#386—71no—
429C24×C7—22no—
430C24×C7—22no—
431C24×C7—22no—
432C24×C7—22no—
433C24×C7—22no—
434C24×C7—22no—
435C24×C7—22no—
436C24×C7—22no—
437C24×C7—22no—
438C24×C7—41no—
439C24×C7—41no—
440C24×C7—41no—
441C24×C7—41no—
442C24×C7#4114yes—
443C24×C7C2411yescharacteristic
444C24×C7C2411yescharacteristic
445C24×C7C2411yescharacteristic
446C24×C7C2411yescharacteristic
447C24×C7C2411yescharacteristic
448C23×D7—22no—
449C23×D7—22no—
450C23×D7—22no—
451C23×D7—41no—
452C23×D7—41no—
453C23×D7—41no—
454C23×D7—41no—
455C23×D7C2411yescharacteristic
456C23×D7C2411yescharacteristic
457C23×D7C2411yescharacteristic
458C2×C7×D4—232no—
459C2×C7×D4—22no—
460C2×C7×D4—22no—
461C2×C7×D4—22no—
462C2×C7×D4—22no—
463C2×C7×D4—22no—
464C2×C7×D4—22no—
465C2×C7×D4—22no—
466C2×C7×D4—22no—
467C2×C7×D4—22no—
468C2×C7×D4—22no—
469C2×C7×D4C2×D414yes—
470C2×C7×D4#4114yes—
471C22×C4×C7—22no—
472C22×C4×C7—22no—
473C22×C4×C7—22no—
474C22×C4×C7—22no—
475C22×C4×C7—22no—
476C22×C4×C7—22no—
477C22×C4×C7—22no—
478C22×C4×C7—22no—
479C22×C4×C7—22no—
480C22×C4×C7—22no—
481C22×C4×C7—22no—
482C22×C4×C7—22no—
483C22×C4×C7—22no—
484C22×C4×C7—22no—
485C22×C4×C7—22no—
486C22×C4×C7—22no—
487C22×C4×C7—22no—
488C22×C4×C7—22no—
489C22×C4×C7—22no—
490C22×C4×C7—22no—
491C22×C4×C7—22no—
492C22×C4×C7—22no—
493C22×C4×C7—41no—
494C22×C4×C7—41no—
495C22×C4×C7—41no—
496C22×C4×C7—41no—
497C22×C4×C7—41no—
498C22×C4×C7—41no—
499C22×C4×C7—41no—
500C22×C4×C7—41no—
501C22×C4×C7—41no—
502C22×C4×C7—41no—
503C22×C4×C7—41no—
504C22×C4×C7—41no—
505C22×C4×C7—41no—
506C22×C4×C7—41no—
507C22×C4×C7—41no—
508C22×C4×C7—416no—
509C22×C4×C7—416no—
510C22×C4×C7C2×D414yes—
511C22×C4×C7C2×D414yescomplemented
512C22×C4×C7C2411yescharacteristic
513C22×C4×C7C2411yescharacteristic
514C22×C4×C7C2411yescharacteristic
515C22×C4×C7C2411yescharacteristic
516C22×C4×C7C2411yescharacteristic
517C22×C4×C7C2411yescharacteristic
518C22×C4×C7C2411yescharacteristic
519C22×C4×C7C2411yescharacteristic
520C22×C4×C7C2411yescharacteristic
521C22×C4×C7C2411yescharacteristic
522C2×C22⋊D7—22no—
523C2×C22⋊D7—22no—
524C2×C22⋊D7—22no—
525C2×C22⋊D7—22no—
526C2×C22⋊D7—22no—
527C2×C22⋊D7—22no—
528C2×C22⋊D7—22no—
529C2×C22⋊D7—22no—
530C2×C22⋊D7—22no—
531C2×C22⋊D7—22no—
532C2×C22⋊D7—22no—
533C2×C22⋊D7—22no—
534C2×C22⋊D7—22no—
535C2×C22⋊D7—22no—
536C2×C22⋊D7—22no—
537C2×C22⋊D7—22no—
538C2×C22⋊D7—22no—
539C2×C22⋊D7—22no—
540C2×C22⋊D7—22no—
541C2×C22⋊D7—22no—
542C2×C22⋊D7—22no—
543C2×C22⋊D7—41no—
544C2×C22⋊D7—41no—
545C2×C22⋊D7—41no—
546C2×C22⋊D7—41no—
547C2×C22⋊D7—41no—
548C2×C22⋊D7—41no—
549C2×C22⋊D7—41no—
550C2×C22⋊D7—41no—
551C2×C22⋊D7—41no—
552C2×C22⋊D7—41no—
553C2×C22⋊D7—41no—
554C2×C22⋊D7—41no—
555C2×C22⋊D7—41no—
556C2×C22⋊D7—41no—
557C2×C22⋊D7—41no—
558C2×C22⋊D7—41no—
559C2×C22⋊D7—41no—
560C2×C22⋊D7—41no—
561C2×C22⋊D7—416no—
562C22×Dic7—22no—
563C22×Dic7—22no—
564C22×Dic7—22no—
565C22×Dic7—41no—
566C22×Dic7—41no—
567C22×Dic7—41no—
568C22×Dic7—41no—
569C22×Dic7—41no—
570C22×Dic7—41no—
571C22×Dic7C2411yescharacteristic
572C22×Dic7C2411yescharacteristic
573C22×Dic7C2411yescharacteristic
574C22×Dic7C2411yescharacteristic
575C22×Dic7C2411yescharacteristic
576C22×Dic7C2411yescharacteristic
577C22×Dic7C2411yescharacteristic
578C22×Dic7C2411yescharacteristic
579C22×Dic7C2411yescharacteristic
580C22×Dic7C2411yescharacteristic
581C22×Dic7C2411yescharacteristic
582C22×Dic7C2411yescharacteristic
583C22×Dic7C2411yescharacteristic
584C2×D28—22no—
585C2×D28—22no—
586C2×D28—41no—
587C2×D28—41no—
588C2×D28—41no—
589C2×D28—41no—
590C2×C4×D7—22no—
591C2×C4×D7—41no—
592C2×C4×D7—41no—
593C2×Dic14—22no—
594C2×Dic14—41no—
595C2×Dic14—41no—
596C7×C4⋊C4—22no—
597C7×C4⋊C4—22no—
598C7×C4⋊C4—22no—
599C7×C4⋊C4C2×D414yescomplemented
600C7×C22⋊C4—22no—
601C7×C22⋊C4—22no—
602C7×C22⋊C4—22no—
603C7×C22⋊C4—22no—
604C7×C22⋊C4—22no—
605C7×C22⋊C4—22no—
606C7×C22⋊C4C2×D414yes—
607C7×C22⋊C4C2×D414yescomplemented
608C42×C7—22no—
609C42×C7—22no—
610C42×C7—22no—
611C42×C7C2×D414yescomplemented
612C22⋊Dic7—22no—
613C22⋊Dic7—22no—
614C22⋊Dic7—22no—
615C22⋊Dic7—22no—
616C22⋊Dic7—22no—
617C22⋊Dic7—22no—
618C22⋊Dic7—22no—
619C22⋊Dic7—22no—
620C22⋊Dic7—22no—
621C22⋊Dic7—22no—
622C22⋊Dic7—22no—
623C22⋊Dic7—41no—
624C22⋊Dic7—41no—
625C22⋊Dic7—41no—
626C22⋊Dic7—41no—
627C22⋊Dic7—41no—
628C22⋊Dic7—41no—
629C22⋊Dic7—41no—
630C22⋊Dic7—41no—
631C22⋊Dic7—41no—
632C22⋊Dic7—41no—
633C22⋊Dic7—41no—
634C22⋊Dic7—41no—
635(C2×D7)⋊C4—22no—
636(C2×D7)⋊C4—22no—
637(C2×D7)⋊C4—22no—
638(C2×D7)⋊C4—22no—
639(C2×D7)⋊C4—22no—
640(C2×D7)⋊C4—22no—
641(C2×D7)⋊C4—22no—
642(C2×D7)⋊C4—22no—
643(C2×D7)⋊C4—22no—
644(C2×D7)⋊C4—22no—
645(C2×D7)⋊C4—22no—
646(C2×D7)⋊C4—22no—
647(C2×D7)⋊C4—22no—
648(C2×D7)⋊C4—22no—
649(C2×D7)⋊C4—22no—
650(C2×D7)⋊C4—22no—
651(C2×D7)⋊C4—41no—
652(C2×D7)⋊C4—41no—
653(C2×D7)⋊C4—41no—
654(C2×D7)⋊C4—41no—
655(C2×D7)⋊C4—41no—
656(C2×D7)⋊C4—41no—
657(C2×D7)⋊C4—41no—
658(C2×D7)⋊C4—41no—
659(C2×D7)⋊C4—41no—
660C4⋊Dic7—22no—
661C4⋊Dic7—41no—
662C4⋊Dic7—41no—
663C4⋊Dic7—41no—
664C4⋊Dic7—41no—
665Dic7⋊C4—22no—
666Dic7⋊C4—22no—
667Dic7⋊C4—22no—
668Dic7⋊C4—22no—
669Dic7⋊C4—22no—
670Dic7⋊C4—22no—
671Dic7⋊C4—41no—
672Dic7⋊C4—41no—
673Dic7⋊C4—41no—
674Dic7⋊C4—41no—
675Dic7⋊C4—41no—
676C4×Dic7—22no—
677C4×Dic7—41no—
678C4×Dic7—41no—
679C23×D4—71no—
680C23×D4C2×D711yescharacteristic
681C24×C4C2×D711yescharacteristic
682C24×C4C2×D711yescharacteristic, complemented
683#538—148no—
684C2×#126—71no—
685C2×#126—71no—
686C2×#124—71no—
687C2×#124—71no—
688C2×#123—71no—
689C2×#123—71no—
690C2×#123—71no—
691C2×C22⋊Q8—71no—
692C2×C22⋊Q8—71no—
693C2×#121—71no—
694C2×#121—71no—
695C2×#121—71no—
696C2×#121—71no—
697C2×#121—71no—
698C2×#121—71no—
699C2×#121—71no—
700C2×#120—71no—
701C2×#120—71no—
702C2×#120—71no—
703C2×#120—71no—
704C2×#120—71no—
705C2×#120—71no—
706C2×#120—71no—
707C2×C4×D4—28no—
708C2×C4×D4—71no—
709C2×C4×D4—71no—
710C2×C4×D4—71no—
711C2×C4×D4C2×D711yescharacteristic
712C2×C4×D4C2×D711yescharacteristic
713C2×C4×D4C2×D711yescharacteristic
714C2×C4×D4C2×D711yescharacteristic
715C2×C4×D4C2×D711yescharacteristic, complemented
716C2×C4×D4C2×D711yescharacteristic, complemented
717C2×C4×D4C2×D711yescharacteristic, complemented
718C2×C4×D4C2×D711yescharacteristic, complemented
719C22×C4⋊C4C2×D711yescharacteristic, complemented
720C22×C22⋊C4—71no—
721C22×C22⋊C4—71no—
722C22×C22⋊C4—71no—
723C22×C22⋊C4C2×D711yescharacteristic
724C22×C22⋊C4C2×D711yescharacteristic, complemented
725C22×C42C2×D711yescharacteristic, complemented
726#400—71no—
727#400—71no—
728#399—71no—
729#399—71no—
730#398—71no—
731#397—71no—
732#397—71no—
733#397—71no—
734#396—71no—
735#396—71no—
736#396—71no—
737#396—71no—
738#394—71no—
739#394—71no—
740#394—71no—
741#394—71no—
742#394—71no—
743#394—71no—
744#394—71no—
745#394—71no—
746#394—71no—
747#393—71no—
748#393—71no—
749#392—71no—
750#392—71no—
751#392—71no—
752#392—71no—
753#392—71no—
754#392—71no—
755#392—71no—
756#392—71no—
757#392—71no—
758#391—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#388—71no—
763#388—71no—
764#388—71no—
765#388—71no—
766#388—71no—
767#388—71no—
768#388—71no—
769#388—71no—
770#388—71no—
771#388—71no—
772#388—71no—
773#388—71no—
774#387—71no—
775#387—71no—
776#387—71no—
777#387—71no—
778#387—71no—
779#387—71no—
780#386—71no—
781#386—71no—
782#386—71no—
783#386—71no—
784#386—71no—
785#386—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386—71no—
792#386—71no—
793#386—71no—
794#386—71no—
795#386—71no—
796#386—71no—
797#386—71no—
798#386—71no—
799#386—71no—
800#386—71no—
801#386—71no—
802#386—71no—
803#386—71no—
804#386—71no—
805#386—71no—
806#386—71no—
807#386—71no—
808#385—71no—
809#385—71no—
810#385—71no—
811#385—71no—
812#385—71no—
813#385—71no—
814#385—71no—
815#385—71no—
816#385—71no—
817#385—71no—
818#385—71no—
819#385—71no—
820#383—71no—
821#382—71no—
822#381—71no—
823#381—71no—
824#380—71no—
825#380—71no—
826#380—71no—
827#380—71no—
828#379—71no—
829#379—71no—
830#379—71no—
831C4×C22⋊C4—71no—
832C4×C22⋊C4—71no—
833C4×C22⋊C4—71no—
834C2×#95—71no—
835C2×#95—71no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—28no—
845C23×C7—28no—
846C23×C7—28no—
847C23×C7—21no—
848C23×C7—21no—
849C23×C7—21no—
850C23×C7—21no—
851C23×C7—21no—
852C23×C7—21no—
853C23×C7—21no—
854C23×C7—21no—
855C23×C7—21no—
856C23×C7—21no—
857C23×C7—21no—
858C23×C7—21no—
859C23×C7—21no—
860C23×C7—21no—
861C23×C7—21no—
862C23×C7—21no—
863C23×C7—21no—
864C23×C7—21no—
865C23×C7—44no—
866C23×C7—44no—
867C23×C7—44no—
868C23×C7—44no—
869C23×C7—44no—
870C23×C7—44no—
871C23×C7—44no—
872C23×C7—44no—
873C23×C7—44no—
874C23×C7—44no—
875C23×C7—44no—
876C23×C7C22×D412yes—
877C23×C7C22×D412yes—
878C23×C7C2×#4112yes—
879C23×C7C2×#4112yes—
880C23×C7C2×#4112yes—
881C23×C7C2×#4112yes—
882C23×C7C2×#4112yes—
883C23×C7H(5,𝔽2)12yes—
884C23×C7H(5,𝔽2)12yes—
885C23×C7C2511yescharacteristic
886C22×D7—21no—
887C22×D7—21no—
888C22×D7—21no—
889C22×D7—21no—
890C22×D7—21no—
891C22×D7—21no—
892C22×D7—21no—
893C22×D7—21no—
894C22×D7—21no—
895C22×D7—21no—
896C22×D7—21no—
897C22×D7—21no—
898C22×D7—21no—
899C22×D7—21no—
900C22×D7—21no—
901C22×D7—21no—
902C22×D7—21no—
903C22×D7—21no—
904C22×D7—21no—
905C22×D7—21no—
906C22×D7—21no—
907C22×D7—44no—
908C22×D7—44no—
909C22×D7—44no—
910C22×D7—82no—
911C22×D7—82no—
912C22×D7—82no—
913C22×D7—82no—
914C7×D4—28no—
915C7×D4—28no—
916C7×D4—28no—
917C7×D4—28no—
918C2×C4×C7—28no—
919C2×C4×C7—28no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—21no—
934C2×C4×C7—21no—
935C2×C4×C7—21no—
936C2×C4×C7—21no—
937C2×C4×C7—21no—
938C2×C4×C7—21no—
939C2×C4×C7—21no—
940C2×C4×C7—21no—
941C2×C4×C7—21no—
942C2×C4×C7—21no—
943C2×C4×C7—44no—
944C2×C4×C7—44no—
945C2×C4×C7—44no—
946C2×C4×C7—44no—
947C2×C4×C7—44no—
948C2×C4×C7—44no—
949C2×C4×C7—44no—
950C2×C4×C7—44no—
951C2×C4×C7—44no—
952C2×C4×C7—44no—
953C2×C4×C7—44no—
954C2×C4×C7C22×D412yes—
955C2×C4×C7C22×D412yes—
956C2×C4×C7C22×D412yes—
957C2×C4×C7C22×D412yes—
958C2×C4×C7C22×D412yes—
959C2×C4×C7C2×#4112yes—
960C2×C4×C7H(5,𝔽2)12yes—
961C22⋊D7—44no—
962C22⋊D7—44no—
963C22⋊D7—44no—
964C22⋊D7—44no—
965C22⋊D7—44no—
966C22⋊D7—44no—
967C22⋊D7—44no—
968C22⋊D7—82no—
969C22⋊D7—82no—
970C22⋊D7—82no—
971C22⋊D7—82no—
972C22⋊D7—82no—
973C22⋊D7—82no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—21no—
979C2×Dic7—21no—
980C2×Dic7—21no—
981C2×Dic7—21no—
982C2×Dic7—21no—
983C2×Dic7—21no—
984C2×Dic7—21no—
985C2×Dic7—21no—
986C2×Dic7—21no—
987C2×Dic7—21no—
988C2×Dic7—21no—
989C2×Dic7—21no—
990C2×Dic7—21no—
991C2×Dic7—21no—
992C2×Dic7—21no—
993C2×Dic7—21no—
994C2×Dic7—21no—
995C2×Dic7—21no—
996C2×Dic7—21no—
997C2×Dic7—21no—
998C2×Dic7—21no—
999C2×Dic7—21no—
1000C2×Dic7—21no—
1001C2×Dic7—21no—
1002C2×Dic7—21no—
1003C2×Dic7—21no—
1004C2×Dic7—21no—
1005C2×Dic7—21no—
1006C2×Dic7—21no—
1007C2×Dic7—21no—
1008C2×Dic7—21no—
1009C2×Dic7—21no—
1010C2×Dic7—21no—
1011C2×Dic7—21no—
1012C2×Dic7—21no—
1013C2×Dic7—44no—
1014C2×Dic7—82no—
1015C2×Dic7—82no—
1016D28—82no—
1017D28—82no—
1018C4×D7—82no—
1019Dic14—82no—
1020C25—71no—
1021C25C22×D711yescharacteristic
1022C25C22×D711yescharacteristic
1023C22×Q8—71no—
1024C22×D4—24no—
1025C22×D4—24no—
1026C22×D4—24no—
1027C22×D4—71no—
1028C22×D4—71no—
1029C22×D4—71no—
1030C22×D4—71no—
1031C22×D4—71no—
1032C22×D4—71no—
1033C22×D4—71no—
1034C22×D4—71no—
1035C22×D4—71no—
1036C22×D4—71no—
1037C22×D4—71no—
1038C22×D4—71no—
1039C22×D4—71no—
1040C22×D4—71no—
1041C22×D4—71no—
1042C22×D4—144no—
1043C22×D4—282no—
1044C22×D4—282no—
1045C22×D4C22×D711yescharacteristic
1046C22×D4C22×D711yescharacteristic
1047C22×D4C22×D711yescharacteristic
1048C22×D4C22×D711yescharacteristic
1049C23×C4—24no—
1050C23×C4—24no—
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4—42no—
1055C23×C4—71no—
1056C23×C4—71no—
1057C23×C4—71no—
1058C23×C4—71no—
1059C23×C4C22×D711yescharacteristic
1060C23×C4C22×D711yescharacteristic
1061C23×C4C22×D711yescharacteristic
1062C23×C4C22×D711yescharacteristic
1063C23×C4C22×D711yescharacteristic
1064C23×C4C22×D711yescharacteristic
1065C23×C4C22×D711yescharacteristic
1066C23×C4C22×D711yescharacteristic
1067C23×C4C22×D711yescharacteristic
1068C23×C4C22×D711yescharacteristic
1069C23×C4C22×D711yescharacteristic
1070C23×C4C22×D711yescharacteristic
1071C23×C4C22×D711yescharacteristic
1072#126—144no—
1073#126—144no—
1074#124—144no—
1075#124—144no—
1076#123—144no—
1077#123—144no—
1078#123—282no—
1079C22⋊Q8—144no—
1080C22⋊Q8—282no—
1081#121—144no—
1082#121—144no—
1083#121—144no—
1084#121—144no—
1085#121—282no—
1086#121—282no—
1087#121—282no—
1088#120—144no—
1089#120—144no—
1090#120—144no—
1091#120—144no—
1092#120—282no—
1093#120—282no—
1094#120—282no—
1095C4×D4—24no—
1096C4×D4—24no—
1097C4×D4—24no—
1098C4×D4—24no—
1099C4×D4—24no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—144no—
1103C4×D4—282no—
1104C4×D4—282no—
1105C4×D4C22⋊D718yescomplemented
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—71no—
1108C2×C4⋊C4—71no—
1109C2×C4⋊C4—71no—
1110C2×C4⋊C4—71no—
1111C2×C4⋊C4—71no—
1112C2×C4⋊C4—71no—
1113C2×C4⋊C4—71no—
1114C2×C4⋊C4—71no—
1115C2×C4⋊C4—71no—
1116C2×C4⋊C4—71no—
1117C2×C4⋊C4—71no—
1118C2×C4⋊C4—71no—
1119C2×C4⋊C4—71no—
1120C2×C4⋊C4—71no—
1121C2×C4⋊C4—71no—
1122C2×C4⋊C4—71no—
1123C2×C4⋊C4C22×D711yescharacteristic
1124C2×C4⋊C4C22×D711yescharacteristic
1125C2×C4⋊C4C22×D711yescharacteristic
1126C2×C4⋊C4C22×D711yescharacteristic
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—24no—
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—71no—
1140C2×C22⋊C4—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—71no—
1143C2×C22⋊C4—71no—
1144C2×C22⋊C4—71no—
1145C2×C22⋊C4—71no—
1146C2×C22⋊C4—71no—
1147C2×C22⋊C4—71no—
1148C2×C22⋊C4—71no—
1149C2×C22⋊C4—71no—
1150C2×C22⋊C4—71no—
1151C2×C22⋊C4—71no—
1152C2×C22⋊C4—71no—
1153C2×C22⋊C4—71no—
1154C2×C22⋊C4—71no—
1155C2×C22⋊C4—71no—
1156C2×C22⋊C4—71no—
1157C2×C22⋊C4—71no—
1158C2×C22⋊C4—71no—
1159C2×C22⋊C4—71no—
1160C2×C22⋊C4—71no—
1161C2×C22⋊C4—71no—
1162C2×C22⋊C4—71no—
1163C2×C22⋊C4—71no—
1164C2×C22⋊C4—71no—
1165C2×C22⋊C4—71no—
1166C2×C22⋊C4—71no—
1167C2×C22⋊C4—71no—
1168C2×C22⋊C4—71no—
1169C2×C22⋊C4—71no—
1170C2×C22⋊C4—71no—
1171C2×C22⋊C4—71no—
1172C2×C22⋊C4—71no—
1173C2×C22⋊C4—71no—
1174C2×C22⋊C4—71no—
1175C2×C22⋊C4—71no—
1176C2×C22⋊C4—71no—
1177C2×C22⋊C4—144no—
1178C2×C22⋊C4—282no—
1179C2×C22⋊C4—282no—
1180C2×C22⋊C4C22×D711yescharacteristic
1181C2×C22⋊C4C22×D711yescharacteristic
1182C2×C22⋊C4C22×D711yescharacteristic
1183C2×C22⋊C4C22×D711yescharacteristic
1184C2×C22⋊C4C22×D711yescharacteristic
1185C2×C22⋊C4C22×D711yescharacteristic
1186C2×C22⋊C4C22×D711yescharacteristic
1187C2×C22⋊C4C22×D711yescharacteristic
1188C2×C42—24no—
1189C2×C42—71no—
1190C2×C42—71no—
1191C2×C42—71no—
1192C2×C42C22×D711yescharacteristic
1193C2×C42C22×D711yescharacteristic
1194C2×C42C22×D711yescharacteristic
1195C2×C42C22×D711yescharacteristic
1196#95—71no—
1197#95—71no—
1198#95—71no—
1199#95—71no—
1200#95—71no—
1201#95—71no—
1202#95—71no—
1203#95—71no—
1204#95—71no—
1205#95—71no—
1206#95—71no—
1207#95—71no—
1208#95—71no—
1209#95—71no—
1210#95—71no—
1211#95—71no—
1212#95—71no—
1213#95—71no—
1214#95—71no—
1215#95—71no—
1216#95—71no—
1217#95—71no—
1218#95—71no—
1219#95—71no—
1220#95—71no—
1221#95—71no—
1222#95—71no—
1223#95—71no—
1224#95—71no—
1225#95—71no—
1226#95—71no—
1227#95—71no—
1228C22×C7—22no—
1229C22×C7—22no—
1230C22×C7—22no—
1231C22×C7—22no—
1232C22×C7—22no—
1233C22×C7—22no—
1234C22×C7—22no—
1235C22×C7—22no—
1236C22×C7—22no—
1237C22×C7—22no—
1238C22×C7—22no—
1239C22×C7—22no—
1240C22×C7—22no—
1241C22×C7—22no—
1242C22×C7—22no—
1243C22×C7—22no—
1244C22×C7—22no—
1245C22×C7—22no—
1246C22×C7—22no—
1247C22×C7—22no—
1248C22×C7—22no—
1249C22×C7—416no—
1250C22×C7—416no—
1251C22×C7—41no—
1252C22×C7—41no—
1253C22×C7—41no—
1254C22×C7—41no—
1255C22×C7—41no—
1256C22×C7—41no—
1257C22×C7—41no—
1258C22×C7—41no—
1259C22×C7—41no—
1260C22×C7—41no—
1261C22×C7—41no—
1262C22×C7—41no—
1263C22×C7#52514yes—
1264C22×C7#53814yescomplemented
1265C22×C7C23×D411yescharacteristic
1266C22×C7C22×#4111yescharacteristic
1267C22×C7C22×#4111yescharacteristic
1268C22×C7C2×H(5,𝔽2)11yescharacteristic
1269C22×C7C2×H(5,𝔽2)11yescharacteristic
1270C22×C7C2×H(5,𝔽2)11yescharacteristic
1271C22×C7#58511yescharacteristic
1272C2×D7—41no—
1273C2×D7—41no—
1274C2×D7—41no—
1275C2×D7—41no—
1276C2×D7—41no—
1277C2×D7—41no—
1278C2×D7—41no—
1279C2×D7—41no—
1280C2×D7—41no—
1281C2×D7—41no—
1282C2×D7—41no—
1283C2×D7—41no—
1284C2×D7—41no—
1285C2×D7—41no—
1286C2×D7—41no—
1287C2×D7—41no—
1288C2×D7—41no—
1289C2×D7—41no—
1290C2×D7—41no—
1291C2×D7—41no—
1292C2×D7—41no—
1293C2×D7—88no—
1294C4×C7—22no—
1295C4×C7—22no—
1296C4×C7—22no—
1297C4×C7—22no—
1298C4×C7—22no—
1299C4×C7—22no—
1300C4×C7—22no—
1301C4×C7—41no—
1302C4×C7—41no—
1303C4×C7—41no—
1304Dic7—41no—
1305Dic7—41no—
1306Dic7—41no—
1307Dic7—41no—
1308Dic7—41no—
1309Dic7—41no—
1310Dic7—41no—
1311Dic7—41no—
1312Dic7—41no—
1313Dic7—41no—
1314Dic7—41no—
1315Dic7—41no—
1316Dic7—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—22no—
1323C24—22no—
1324C24—22no—
1325C24—22no—
1326C24—41no—
1327C24—41no—
1328C24—41no—
1329C24—41no—
1330C24—71no—
1331C24—71no—
1332C24—71no—
1333C24—142no—
1334C24—142no—
1335C24—142no—
1336C24—281no—
1337C24—281no—
1338C24—281no—
1339C24—281no—
1340C24#115714yes—
1341C24C23×D711yescharacteristic
1342C24C23×D711yescharacteristic
1343C24C23×D711yescharacteristic
1344C24C23×D711yescharacteristic
1345C24C23×D711yescharacteristic
1346C2×Q8—142no—
1347C2×Q8—281no—
1348C2×Q8—281no—
1349C2×D4—232no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—142no—
1361C2×D4—142no—
1362C2×D4—142no—
1363C2×D4—142no—
1364C2×D4—142no—
1365C2×D4—142no—
1366C2×D4—142no—
1367C2×D4—142no—
1368C2×D4—142no—
1369C2×D4—142no—
1370C2×D4—142no—
1371C2×D4—142no—
1372C2×D4—142no—
1373C2×D4—142no—
1374C2×D4—142no—
1375C2×D4—142no—
1376C2×D4—142no—
1377C2×D4—142no—
1378C2×D4—142no—
1379C2×D4—142no—
1380C2×D4—142no—
1381C2×D4—142no—
1382C2×D4—142no—
1383C2×D4—281no—
1384C2×D4—281no—
1385C2×D4—281no—
1386C2×D4—281no—
1387C2×D4—281no—
1388C2×D4—281no—
1389C2×D4—281no—
1390C2×D4—281no—
1391C2×D4—281no—
1392C2×D4—281no—
1393C2×D4—281no—
1394C2×D4—281no—
1395C2×D4—281no—
1396C2×D4—281no—
1397C2×D4—281no—
1398C2×D4—281no—
1399C2×D4—281no—
1400C2×D4—281no—
1401C2×D4—281no—
1402C2×D4—281no—
1403C2×D4—281no—
1404C2×D4—281no—
1405C2×D4—2816no—
1406C2×D4#115714yes—
1407C2×D4C2×C22⋊D714yes—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—416no—
1446C22×C4—416no—
1447C22×C4—71no—
1448C22×C4—71no—
1449C22×C4—71no—
1450C22×C4—71no—
1451C22×C4—71no—
1452C22×C4—71no—
1453C22×C4—71no—
1454C22×C4—71no—
1455C22×C4—71no—
1456C22×C4—71no—
1457C22×C4—71no—
1458C22×C4—71no—
1459C22×C4—71no—
1460C22×C4—142no—
1461C22×C4—142no—
1462C22×C4—142no—
1463C22×C4—142no—
1464C22×C4—281no—
1465C22×C4—281no—
1466C22×C4—281no—
1467C22×C4—281no—
1468C22×C4—281no—
1469C22×C4—281no—
1470C22×C4—281no—
1471C22×C4—281no—
1472C22×C4C2×C22⋊D714yes—
1473C22×C4C2×C22⋊D714yescomplemented
1474C22×C4C23×D711yescharacteristic
1475C22×C4C23×D711yescharacteristic
1476C22×C4C23×D711yescharacteristic
1477C22×C4C23×D711yescharacteristic
1478C22×C4C23×D711yescharacteristic
1479C22×C4C23×D711yescharacteristic
1480C22×C4C23×D711yescharacteristic
1481C22×C4C23×D711yescharacteristic
1482C22×C4C23×D711yescharacteristic
1483C22×C4C23×D711yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—142no—
1488C4⋊C4—142no—
1489C4⋊C4—142no—
1490C4⋊C4—142no—
1491C4⋊C4—142no—
1492C4⋊C4—142no—
1493C4⋊C4—142no—
1494C4⋊C4—281no—
1495C4⋊C4—281no—
1496C4⋊C4—281no—
1497C4⋊C4—281no—
1498C4⋊C4—281no—
1499C4⋊C4—281no—
1500C4⋊C4—281no—
1501C4⋊C4—281no—
1502C4⋊C4—281no—
1503C4⋊C4C2×C22⋊D714yescomplemented
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—142no—
1511C22⋊C4—142no—
1512C22⋊C4—142no—
1513C22⋊C4—142no—
1514C22⋊C4—142no—
1515C22⋊C4—142no—
1516C22⋊C4—142no—
1517C22⋊C4—142no—
1518C22⋊C4—142no—
1519C22⋊C4—142no—
1520C22⋊C4—142no—
1521C22⋊C4—142no—
1522C22⋊C4—142no—
1523C22⋊C4—142no—
1524C22⋊C4—142no—
1525C22⋊C4—142no—
1526C22⋊C4—142no—
1527C22⋊C4—142no—
1528C22⋊C4—142no—
1529C22⋊C4—142no—
1530C22⋊C4—142no—
1531C22⋊C4—142no—
1532C22⋊C4—142no—
1533C22⋊C4—142no—
1534C22⋊C4—142no—
1535C22⋊C4—142no—
1536C22⋊C4—142no—
1537C22⋊C4—281no—
1538C22⋊C4—281no—
1539C22⋊C4—281no—
1540C22⋊C4—281no—
1541C22⋊C4—281no—
1542C22⋊C4—281no—
1543C22⋊C4—281no—
1544C22⋊C4—281no—
1545C22⋊C4—281no—
1546C22⋊C4—281no—
1547C22⋊C4—281no—
1548C22⋊C4—281no—
1549C22⋊C4—281no—
1550C22⋊C4—281no—
1551C22⋊C4—281no—
1552C22⋊C4—281no—
1553C22⋊C4—281no—
1554C22⋊C4—281no—
1555C22⋊C4—281no—
1556C22⋊C4—281no—
1557C22⋊C4—281no—
1558C22⋊C4C2×C22⋊D714yes—
1559C22⋊C4C2×C22⋊D714yescomplemented
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—142no—
1564C42—281no—
1565C42—281no—
1566C42C2×C22⋊D714yescomplemented
1567C2×C7—24no—
1568C2×C7—24no—
1569C2×C7—42no—
1570C2×C7—42no—
1571C2×C7—42no—
1572C2×C7C2×#52511yescharacteristic
1573C2×C7C2×#53811yescharacteristic
1574C2×C7#345911yescharacteristic
1575C2×C7#348411yescharacteristic
1576C2×C7#348811yescharacteristic
1577C2×C7#351311yescharacteristic
1578C2×C7#351911yescharacteristic
1579D7—81no—
1580D7—81no—
1581D7—81no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—28no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—141no—
1623C23—141no—
1624C23—141no—
1625C23—141no—
1626C23—141no—
1627C23—141no—
1628C23—141no—
1629C23—141no—
1630C23—141no—
1631C23—141no—
1632C23—141no—
1633C23—141no—
1634C23—141no—
1635C23—141no—
1636C23—141no—
1637C23—141no—
1638C23—141no—
1639C23—141no—
1640C23—141no—
1641C23—141no—
1642C23—141no—
1643C23—284no—
1644C23—284no—
1645C23—284no—
1646C23—562no—
1647C23—562no—
1648C23—562no—
1649C23—562no—
1650C23C2×#115712yes—
1651C23C2×#115712yes—
1652C23C2×#115712yes—
1653C23C2×#115712yes—
1654C23C2×#115712yes—
1655C23#654812yes—
1656C23#655312yes—
1657C23C22×C22⋊D712yes—
1658C23C22×C22⋊D712yes—
1659C23C24×D711yescharacteristic
1660Q8—562no—
1661D4—28no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—284no—
1666D4—284no—
1667D4—284no—
1668D4—284no—
1669D4—284no—
1670D4—284no—
1671D4—284no—
1672D4—562no—
1673D4—562no—
1674D4—562no—
1675D4—562no—
1676D4—562no—
1677D4—562no—
1678D4—562no—
1679D4—562no—
1680C2×C4—28no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—141no—
1717C2×C4—141no—
1718C2×C4—141no—
1719C2×C4—141no—
1720C2×C4—141no—
1721C2×C4—141no—
1722C2×C4—141no—
1723C2×C4—141no—
1724C2×C4—141no—
1725C2×C4—141no—
1726C2×C4—141no—
1727C2×C4—141no—
1728C2×C4—141no—
1729C2×C4—141no—
1730C2×C4—141no—
1731C2×C4—141no—
1732C2×C4—141no—
1733C2×C4—141no—
1734C2×C4—141no—
1735C2×C4—141no—
1736C2×C4—141no—
1737C2×C4—141no—
1738C2×C4—141no—
1739C2×C4—141no—
1740C2×C4—141no—
1741C2×C4—141no—
1742C2×C4—141no—
1743C2×C4—141no—
1744C2×C4—141no—
1745C2×C4—141no—
1746C2×C4—141no—
1747C2×C4—141no—
1748C2×C4—141no—
1749C2×C4—141no—
1750C2×C4—141no—
1751C2×C4—141no—
1752C2×C4—141no—
1753C2×C4—141no—
1754C2×C4—141no—
1755C2×C4—284no—
1756C2×C4—562no—
1757C2×C4—562no—
1758C2×C4—562no—
1759C2×C4C2×#115712yes—
1760C2×C4#654812yes—
1761C2×C4C22×C22⋊D712yes—
1762C2×C4C22×C22⋊D712yes—
1763C2×C4C22×C22⋊D712yes—
1764C2×C4C22×C22⋊D712yes—
1765C2×C4C22×C22⋊D712yes—
1766C7#3499011yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—281no—
1803C22—281no—
1804C22—281no—
1805C22—281no—
1806C22—281no—
1807C22—281no—
1808C22—281no—
1809C22—281no—
1810C22—281no—
1811C22—281no—
1812C22—281no—
1813C22—281no—
1814C22—281no—
1815C22—281no—
1816C22—281no—
1817C22—281no—
1818C22—281no—
1819C22—281no—
1820C22—281no—
1821C22—281no—
1822C22—281no—
1823C22—568no—
1824C22#9025114yescomplemented
1825C22#9048214yes—
1826C22C22×#115711yescharacteristic
1827C22C22×#115711yescharacteristic
1828C22C2×#654811yescharacteristic
1829C22C2×#654811yescharacteristic
1830C22C2×#655311yescharacteristic
1831C22#9061611yescharacteristic
1832C22C23×C22⋊D711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—281no—
1844C4—281no—
1845C4—281no—
1846C4—281no—
1847C4—281no—
1848C4—281no—
1849C4—281no—
1850C4—281no—
1851C4—281no—
1852C4—281no—
1853C4—281no—
1854C4—281no—
1855C4—281no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—561no—
1862C2—561no—
1863C2—561no—
1864C2C2×#9025111yescharacteristic
1865C2#1174284411yescharacteristic
1866C2#1174285711yescharacteristic
1867C2#1174285811yescharacteristic
1868C2C2×#9048211yescharacteristic
1869C2#1174430711yescharacteristic
1870C2#1174434311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC22×C4×C7×D4C2
hypercenterC22×C4×D4D7
hypocenterC7#34990
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C22×C4×C7×D4C2semidirect
2. C2×#90251C2semidirect
3. #11741497C2semidirect
4. #11741493C2semidirect
5. #11741478C2semidirect
6. #11741477C2semidirect
7. C4×#6516C2semidirect
8. C2×#89985C2semidirect
9. #11739868C2semidirect
10. #11739867C2semidirect
11. #11739866C2semidirect
12. #11739865C2semidirect
13. #11739856C2semidirect
14. #11739852C2semidirect
15. #11739849C2semidirect
16. #11739840C2semidirect
17. #11739815C2semidirect
18. #11739810C2semidirect
19. #11739809C2semidirect
20. #11739806C2semidirect
21. #11739802C2semidirect
22. #11739772C2semidirect
23. #11739769C2semidirect
24. #11739640C2semidirect
25. #11739620C2semidirect
26. #11739572C2semidirect
27. #11739556C2semidirect
28. #11739555C2semidirect
29. #11739554C2semidirect
30. #11739523C2semidirect
31. #11739522C2semidirect
34. C24×C4×C7C22semidirect
41. C2×C4×C7×D4C22semidirect
42. C2×C4×C7×D4C22semidirect
43. C2×C4×C7×D4C22semidirect
44. C2×C4×C7×D4C22semidirect
45. C22×C7×C4⋊C4C22semidirect
47. C22×C7×C22⋊C4C22semidirect
48. C22×C42×C7C22semidirect
52. C2×#6516C22semidirect
60. C2×#6493C22semidirect
61. C2×#6493C22semidirect
62. C2×#6492C22semidirect
63. C2×#6492C22semidirect
64. C2×C4×C22⋊D7C22semidirect
65. C2×C4×C22⋊D7C22semidirect
66. C2×C4×C22⋊D7C22semidirect
67. C22×(C2×D7)⋊C4C22semidirect
68. C22×(C2×D7)⋊C4C22semidirect
69. C2×#6487C22semidirect
71. C2×#6461C22semidirect
72. C2×#6457C22semidirect
73. C2×#6448C22semidirect
74. C2×#6447C22semidirect
75. C2×#6445C22semidirect
76. C2×#6441C22semidirect
77. C2×#6439C22semidirect
78. C2×#6438C22semidirect
80. #90019C22semidirect
85. #89995C22semidirect
86. #89995C22semidirect
87. #89994C22semidirect
88. #89994C22semidirect
101. #89985C22semidirect
102. #89985C22semidirect
103. #89985C22semidirect
104. #89985C22semidirect
105. #89985C22semidirect
106. #89985C22semidirect
107. #89985C22semidirect
108. #89985C22semidirect
109. #89985C22semidirect
110. #89985C22semidirect
111. #89985C22semidirect
112. #89985C22semidirect
113. #89985C22semidirect
114. #89985C22semidirect
115. #89984C22semidirect
116. #89984C22semidirect
117. #89984C22semidirect
118. #89983C22semidirect
119. #89983C22semidirect
120. #89982C22semidirect
121. #89982C22semidirect
122. #89982C22semidirect
123. #89982C22semidirect
124. #89982C22semidirect
125. #89982C22semidirect
126. #89982C22semidirect
127. #89982C22semidirect
128. C4×C22⋊Dic7C22semidirect
129. C4×C22⋊Dic7C22semidirect
130. C4×C22⋊Dic7C22semidirect
131. C2×C7⋊#95C22semidirect
132. C2×C7⋊#95C22semidirect
133. #89766C22semidirect
134. #89765C22semidirect
135. #89765C22semidirect
136. #89764C22semidirect
137. #89763C22semidirect
138. #89762C22semidirect
139. #89762C22semidirect
140. #89761C22semidirect
141. #89758C22semidirect
142. #89756C22semidirect
143. #89754C22semidirect
144. #89753C22semidirect
145. #89753C22semidirect
146. #89750C22semidirect
147. #89733C22semidirect
148. #89733C22semidirect
149. #89733C22semidirect
150. #89732C22semidirect
151. #89732C22semidirect
152. #89732C22semidirect
153. #89731C22semidirect
154. #89731C22semidirect
155. #89731C22semidirect
156. #89730C22semidirect
157. #89729C22semidirect
158. #89729C22semidirect
159. #89728C22semidirect
160. #89727C22semidirect
161. #89724C22semidirect
162. #89723C22semidirect
163. #89723C22semidirect
164. #89722C22semidirect
165. #89722C22semidirect
166. #89721C22semidirect
167. #89720C22semidirect
168. #89720C22semidirect
169. #89720C22semidirect
170. #89719C22semidirect
171. #89719C22semidirect
172. #89718C22semidirect
173. #89716C22semidirect
174. #89714C22semidirect
175. #89712C22semidirect
176. #89712C22semidirect
177. #89712C22semidirect
178. #89712C22semidirect
179. #89712C22semidirect
180. #89712C22semidirect
181. #89712C22semidirect
182. #89711C22semidirect
183. #89709C22semidirect
184. #89708C22semidirect
185. #89705C22semidirect
186. #89705C22semidirect
187. #89705C22semidirect
188. #89701C22semidirect
249. C4×C7×D4D4semidirect
399. C22×C4×D4D7semidirect
511. C22×C4×C7C2×D4semidirect
599. C7×C4⋊C4C2×D4semidirect
607. C7×C22⋊C4C2×D4semidirect
611. C42×C7C2×D4semidirect
682. C24×C4C2×D7semidirect
715. C2×C4×D4C2×D7semidirect
716. C2×C4×D4C2×D7semidirect
717. C2×C4×D4C2×D7semidirect
718. C2×C4×D4C2×D7semidirect
719. C22×C4⋊C4C2×D7semidirect
724. C22×C22⋊C4C2×D7semidirect
725. C22×C42C2×D7semidirect
1105. C4×D4C22⋊D7semidirect
1264. C22×C7#538semidirect
1473. C22×C4C2×C22⋊D7semidirect
1503. C4⋊C4C2×C22⋊D7semidirect
1559. C22⋊C4C2×C22⋊D7semidirect
1566. C42C2×C22⋊D7semidirect
1766. C7#34990semidirect
1824. C22#90251semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C7×D42
C2×#902512
#117414972
#117414932
#117414782
#117414772
C4×#65162
C2×#899852
#117398682
#117398672
#117398662
#117398652
#117398562
#117398522
#117398492
#117398402
#117398152
#117398102
#117398092
#117398062
#117398022
#117397722
#117397692
#117396402
#117396202
#117395722
#117395562
#117395552
#117395542
#117395232
#117395222
#349907