Finite Group Databasebeta

← #14216875

Subgroups — #14216875

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2557C211yesmaximal, characteristic, complemented
2#11740448C211yesmaximal, characteristic, complemented
3#11740400C211yesmaximal, characteristic, complemented
4#11740352C211yesmaximal, characteristic, complemented
5#11740283C211yesmaximal, characteristic, complemented
6#11735149C211yesmaximal, characteristic, complemented
7#11734980C211yesmaximal, characteristic, complemented
8#11734976C211yesmaximal, characteristic, complemented
9#11734945C211yesmaximal, characteristic, complemented
10#11734247C211yesmaximal, characteristic, complemented
11#11734242C211yesmaximal, characteristic, complemented
12#11734217C211yesmaximal, characteristic, complemented
13#11734120C211yesmaximal, characteristic, complemented
14#11733974C211yesmaximal, characteristic, complemented
15#11733938C211yesmaximal, characteristic, complemented
16#11733891C211yesmaximal, characteristic, complemented
17#11733750C211yesmaximal, characteristic, complemented
18#11733295C211yesmaximal, characteristic, complemented
19#11733005C211yesmaximal, characteristic, complemented
20#11732568C211yesmaximal, characteristic, complemented
21#11732544C211yesmaximal, characteristic, complemented
22#11732349C211yesmaximal, characteristic, complemented
23#11732221C211yesmaximal, characteristic, complemented
24#11732220C211yesmaximal, characteristic, complemented
25#11732197C211yesmaximal, characteristic, complemented
26#11732104C211yesmaximal, characteristic, complemented
27#11732104C211yesmaximal, characteristic, complemented
28C4×#6445C211yesmaximal, characteristic, complemented
29#11730993C211yesmaximal, characteristic, complemented
30#11730914C211yesmaximal, characteristic, complemented
31#11730909C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#124C2211yescharacteristic
34C2×C7×#123C2211yescharacteristic
35C2×#6510C2211yescharacteristic
36C2×Q8×Dic7C2211yescharacteristic, complemented
37C2×#6502C2211yescharacteristic
38C2×#6502C2211yescharacteristic, complemented
39C2×#6500C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×D4×Dic7C2211yescharacteristic
42C2×D4×Dic7C2211yescharacteristic
43C2×#6493C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×#6489C2211yescharacteristic, complemented
46C2×#6449C2211yescharacteristic
47C2×#6449C2211yescharacteristic, complemented
48C2×#6446C2211yescharacteristic, complemented
49C2×#6445C2211yescharacteristic
50C2×(C22⋊D7)⋊C4C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×#6440C2211yescharacteristic, complemented
55C2×C4×D28C2211yescharacteristic
56C2×C4×D28C2211yescharacteristic
57C7×#397C2211yescharacteristic
58C7×#397C2211yescharacteristic, complemented
59C7×#393C2211yescharacteristic, complemented
60C7×#392C2211yescharacteristic
61C7×#391C2211yescharacteristic, complemented
62C7×#390C2211yescharacteristic, complemented
63C7×#388C2211yescharacteristic, complemented
64C7×#387C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic
66C7×#386C2211yescharacteristic
67C7×#386C2211yescharacteristic, complemented
68C4×C7×C22⋊C4C2211yescharacteristic
69C4×C7×C22⋊C4C2211yescharacteristic, complemented
70#90003C2211yescharacteristic
71#90002C2211yescharacteristic, complemented
72#89995C2211yescharacteristic
73#89995C2211yescharacteristic
74#89995C2211yescharacteristic
75#89993C2211yescharacteristic
76#89992C2211yescharacteristic
77#89992C2211yescharacteristic, complemented
78#89985C2211yescharacteristic
79#89982C2211yescharacteristic
80#89982C2211yescharacteristic
81C2×C7⋊#95C2211yescharacteristic, complemented
82#89766C2211yescharacteristic
83#89766C2211yescharacteristic
84#89765C2211yescharacteristic
85#89763C2211yescharacteristic
86#89762C2211yescharacteristic
87#89762C2211yescharacteristic, complemented
88#89760C2211yescharacteristic
89#89757C2211yescharacteristic, complemented
90#89753C2211yescharacteristic, complemented
91#89753C2211yescharacteristic, complemented
92C4⋊C4×Dic7C2211yescharacteristic, complemented
93#89744C2211yescharacteristic, complemented
94#89733C2211yescharacteristic
95#89733C2211yescharacteristic
96#89732C2211yescharacteristic
97#89732C2211yescharacteristic
98#89732C2211yescharacteristic
99#89731C2211yescharacteristic
100#89731C2211yescharacteristic
101#89731C2211yescharacteristic
102#89731C2211yescharacteristic, complemented
103#89730C2211yescharacteristic
104#89730C2211yescharacteristic, complemented
105#89729C2211yescharacteristic
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic, complemented
109#89728C2211yescharacteristic
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic, complemented
114#89727C2211yescharacteristic
115#89727C2211yescharacteristic
116#89727C2211yescharacteristic
117#89723C2211yescharacteristic
118#89723C2211yescharacteristic
119#89723C2211yescharacteristic
120#89723C2211yescharacteristic
121#89723C2211yescharacteristic, complemented
122#89723C2211yescharacteristic, complemented
123#89722C2211yescharacteristic
124#89722C2211yescharacteristic, complemented
125#89722C2211yescharacteristic, complemented
126#89722C2211yescharacteristic, complemented
127#89721C2211yescharacteristic, complemented
128#89720C2211yescharacteristic
129#89720C2211yescharacteristic
130#89716C2211yescharacteristic, complemented
131#89716C2211yescharacteristic, complemented
132#89716C2211yescharacteristic, complemented
133C22⋊C4×Dic7C2211yescharacteristic
134C22⋊C4×Dic7C2211yescharacteristic
135C22⋊C4×Dic7C2211yescharacteristic, complemented
136C22⋊C4×Dic7C2211yescharacteristic, complemented
137#89712C2211yescharacteristic
138#89711C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic
140C4×(C2×D7)⋊C4C2211yescharacteristic
141C4×C4⋊Dic7C2211yescharacteristic, complemented
142C4×C4⋊Dic7C2211yescharacteristic, complemented
143#89705C2211yescharacteristic, complemented
144C4×Dic7⋊C4C2211yescharacteristic, complemented
145#89700C2211yescharacteristic, complemented
146#89700C2211yescharacteristic, complemented
147#89449C2211yescharacteristic
148#89447C2211yescharacteristic
149#89447C2211yescharacteristic
150#89446C2211yescharacteristic
151#89446C2211yescharacteristic, complemented
152#89442C2211yescharacteristic
153#89442C2211yescharacteristic
154#89442C2211yescharacteristic, complemented
155#89442C2211yescharacteristic, complemented
156#89441C2211yescharacteristic
157#89441C2211yescharacteristic
158#89441C2211yescharacteristic, complemented
159#89441C2211yescharacteristic, complemented
160#89441C2211yescharacteristic, complemented
161#89440C2211yescharacteristic
162#89440C2211yescharacteristic
163#89440C2211yescharacteristic
164#89440C2211yescharacteristic
165#89440C2211yescharacteristic
166#89440C2211yescharacteristic
167#89440C2211yescharacteristic, complemented
168#89438C2211yescharacteristic
169#89438C2211yescharacteristic
170#89438C2211yescharacteristic
171#89438C2211yescharacteristic
172#89438C2211yescharacteristic, complemented
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89432C2211yescharacteristic, complemented
176#89430C2211yescharacteristic, complemented
177#89429C2211yescharacteristic, complemented
178#89427C2211yescharacteristic, complemented
179#89426C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89423C2211yescharacteristic, complemented
183#89423C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#60033—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×Q8C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7—42no—
209C22×C4×D7—42no—
210C22×C4×D7—42no—
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C7×#124—24no—
217C7×#123—24no—
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊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×C22⋊Dic7C2311yescharacteristic
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
249#6510—24no—
250Q8×Dic7—42no—
251#6502—24no—
252#6502—42no—
253#6500—24no—
254#6500—24no—
255D4×Dic7—42no—
256D4×Dic7—42no—
257#6493—24no—
258C4×C22⋊D7—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286#6489—42no—
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6449—24no—
322#6449—42no—
323#6446—42no—
324#6445—24no—
325(C22⋊D7)⋊C4—42no—
326(C22⋊D7)⋊C4—42no—
327(C22⋊D7)⋊C4—42no—
328(C22⋊D7)⋊C4—42no—
329#6440—42no—
330C4×D28—42no—
331C4×D28—42no—
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#2735—71no—
371#2678—71no—
372#2678—71no—
373#2670—71no—
374#2602—71no—
375#2602—71no—
376#2598—71no—
377#2598—71no—
378#2597—71no—
379#2597—71no—
380#2587—71no—
381#2587—71no—
382#2580—71no—
383#2557—71no—
384#2557D711yescharacteristic, complemented
385#2543—71no—
386#2523—71no—
387#2518—71no—
388#2518—71no—
389#2456—71no—
390#2456—71no—
391#2455—71no—
392#2367—71no—
393#2367—71no—
394#2363—71no—
395#2363—71no—
396#2359—71no—
397#2359—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×Q8—22no—
415C2×C7×Q8—22no—
416C2×C7×Q8—41no—
417C2×C7×D4—22no—
418C2×C7×D4—22no—
419C2×C7×D4—22no—
420C2×C7×D4—22no—
421C2×C7×D4—22no—
422C2×C7×D4—41no—
423C2×C7×D4—41no—
424C2×C7×D4—41no—
425C2×C7×D4—41no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7#4114yes—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7—41no—
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C2×D28—22no—
491C2×D28—22no—
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—41no—
495C2×D28—41no—
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—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—416no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—22no—
514C7×C4⋊C4—41no—
515C7×C22⋊C4—22no—
516C7×C22⋊C4—22no—
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—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4#4114yes—
528C42×C7—22no—
529C42×C7—41no—
530C42×C7—41no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—41no—
537C22⋊Dic7—41no—
538C22⋊Dic7—41no—
539C22⋊Dic7—41no—
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—41no—
558(C2×D7)⋊C4—41no—
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—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4#4114yes—
570C4⋊Dic7—22no—
571C4⋊Dic7—22no—
572C4⋊Dic7—22no—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—22no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C24×C4—71no—
605C2×#124—71no—
606C2×#124C2×D711yescharacteristic
607C2×#123—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123C2×D711yescharacteristic
611C2×#121—71no—
612C2×#121—71no—
613C2×#121—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×Q8—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×#117—71no—
628C2×#117—71no—
629#400—71no—
630#400—71no—
631#399—71no—
632#399—71no—
633#398—71no—
634#397—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397C2×D711yescharacteristic
640#397C2×D711yescharacteristic, complemented
641#396—71no—
642#396—71no—
643#396—71no—
644#396—71no—
645#394—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#393—71no—
653#393C2×D711yescharacteristic, complemented
654#392—71no—
655#392—71no—
656#392—71no—
657#392—71no—
658#392—71no—
659#392—71no—
660#392C2×D711yescharacteristic
661#391—71no—
662#391C2×D711yescharacteristic, complemented
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390C2×D711yescharacteristic, complemented
671#389—71no—
672#389—71no—
673#389—71no—
674#389—71no—
675#389—71no—
676#389—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#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388C2×D711yescharacteristic, complemented
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387C2×D711yescharacteristic, complemented
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386C2×D711yescharacteristic
720#386C2×D711yescharacteristic
721#386C2×D711yescharacteristic, complemented
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385—71no—
735#383—71no—
736#383—71no—
737#382—71no—
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4C2×D711yescharacteristic
757C4×C22⋊C4C2×D711yescharacteristic, complemented
758C2×#95—71no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7C2×#4112yes—
779C23×C7C2×#4112yes—
780C23×C7C2511yescharacteristic
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7C2×#4112yes—
808C22×D7C2×#4112yes—
809C7×Q8—44no—
810C7×D4—44no—
811C7×D4—44no—
812C7×D4—82no—
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—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—44no—
846C2×C4×C7—44no—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C22⋊D7—44no—
856C22⋊D7—82no—
857C22⋊D7—82no—
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—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—44no—
894C2×Dic7—44no—
895C2×Dic7—82no—
896C2×Dic7—82no—
897C2×Dic7C2×#4112yes—
898C2×Dic7C2×#4112yes—
899C2×Dic7H(5,𝔽2)12yes—
900C2×Dic7H(5,𝔽2)12yes—
901D28—44no—
902D28—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—82no—
908C25—71no—
909C22×Q8C22×D711yescharacteristic
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4C22×D711yescharacteristic
920C22×D4C22×D711yescharacteristic
921C22×D4C22×D711yescharacteristic
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—282no—
932C23×C4—282no—
933C23×C4—282no—
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936#124—24no—
937#124—144no—
938#123—24no—
939#123—144no—
940#123—282no—
941#123—282no—
942#121—144no—
943#121—144no—
944#121—282no—
945#120—144no—
946#120—144no—
947#120—144no—
948C4×Q8—282no—
949C4×D4—282no—
950C4×D4—282no—
951C4×D4—282no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
959#117—282no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
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—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
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#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—22no—
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—41no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7C22×#4111yescharacteristic
1112C22×C7C22×#4111yescharacteristic
1113C22×C7C22×#4111yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×H(5,𝔽2)11yescharacteristic
1117C22×C7#58511yescharacteristic
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—416no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—41no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165C24—71no—
1166C24—71no—
1167C24—71no—
1168C24—142no—
1169C24—142no—
1170C24—142no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—41no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—74no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—281no—
1203C2×D4—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
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—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—2816no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—41no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—74no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4#115914yes—
1353C42—22no—
1354C42—41no—
1355C42—41no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7—42no—
1370C2×C7—81no—
1371C2×C7#348111yescharacteristic
1372C2×C7#348111yescharacteristic
1373C2×C7#348111yescharacteristic
1374C2×C7#350511yescharacteristic
1375C2×C7#350611yescharacteristic
1376C2×C7#350611yescharacteristic
1377C2×C7#353211yescharacteristic
1378D7—42no—
1379D7—42no—
1380D7—81no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—72no—
1401C23—72no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—284no—
1422C23—284no—
1423C23—284no—
1424C23—284no—
1425C23—284no—
1426C23—284no—
1427C23—284no—
1428C23C2×#115912yes—
1429C23D7×#4112yes—
1430C23C24×D711yescharacteristic
1431Q8—44no—
1432D4—44no—
1433D4—44no—
1434D4—82no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—284no—
1439D4—284no—
1440D4—284no—
1441D4—284no—
1442D4—562no—
1443D4—562no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—72no—
1479C2×C4—72no—
1480C2×C4—72no—
1481C2×C4—72no—
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—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—284no—
1518C2×C4—284no—
1519C2×C4—284no—
1520C2×C4—284no—
1521C2×C4—284no—
1522C2×C4—284no—
1523C2×C4—562no—
1524C2×C4—562no—
1525C2×C4—562no—
1526C2×C4C2×#115912yes—
1527C2×C4C2×#115912yes—
1528C2×C4D7×#4112yes—
1529C2×C4#655312yes—
1530C7#6003311yescharacteristic, complemented, Sylow
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—2816no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22C22×#115911yescharacteristic
1575C22C2×D7×#4111yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22C2×#655311yescharacteristic
1578C22#9061611yescharacteristic
1579C22D7×H(5,𝔽2)11yescharacteristic
1580C22D7×H(5,𝔽2)11yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—142no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C2—42no—
1607C2—42no—
1608C2—81no—
1609C2—282no—
1610C2—282no—
1611C2—561no—
1612C2#1174322111yescharacteristic
1613C2#1174329111yescharacteristic
1614C2#1174348611yescharacteristic
1615C2#1174369611yescharacteristic
1616C2#1174369611yescharacteristic
1617C2#1174388511yescharacteristic
1618C2#1174413111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2557C2
hypercenter#2557D7
hypocenterC7#60033
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C7×#2557C2semidirect
2. #11740448C2semidirect
3. #11740400C2semidirect
4. #11740352C2semidirect
5. #11740283C2semidirect
6. #11735149C2semidirect
7. #11734980C2semidirect
8. #11734976C2semidirect
9. #11734945C2semidirect
10. #11734247C2semidirect
11. #11734242C2semidirect
12. #11734217C2semidirect
13. #11734120C2semidirect
14. #11733974C2semidirect
15. #11733938C2semidirect
16. #11733891C2semidirect
17. #11733750C2semidirect
18. #11733295C2semidirect
19. #11733005C2semidirect
20. #11732568C2semidirect
21. #11732544C2semidirect
22. #11732349C2semidirect
23. #11732221C2semidirect
24. #11732220C2semidirect
25. #11732197C2semidirect
26. #11732104C2semidirect
27. #11732104C2semidirect
28. C4×#6445C2semidirect
29. #11730993C2semidirect
30. #11730914C2semidirect
31. #11730909C2semidirect
36. C2×Q8×Dic7C22semidirect
38. C2×#6502C22semidirect
45. C2×#6489C22semidirect
47. C2×#6449C22semidirect
48. C2×#6446C22semidirect
54. C2×#6440C22semidirect
58. C7×#397C22semidirect
59. C7×#393C22semidirect
61. C7×#391C22semidirect
62. C7×#390C22semidirect
63. C7×#388C22semidirect
64. C7×#387C22semidirect
67. C7×#386C22semidirect
69. C4×C7×C22⋊C4C22semidirect
71. #90002C22semidirect
77. #89992C22semidirect
81. C2×C7⋊#95C22semidirect
87. #89762C22semidirect
89. #89757C22semidirect
90. #89753C22semidirect
91. #89753C22semidirect
92. C4⋊C4×Dic7C22semidirect
93. #89744C22semidirect
102. #89731C22semidirect
104. #89730C22semidirect
108. #89729C22semidirect
113. #89728C22semidirect
121. #89723C22semidirect
122. #89723C22semidirect
124. #89722C22semidirect
125. #89722C22semidirect
126. #89722C22semidirect
127. #89721C22semidirect
130. #89716C22semidirect
131. #89716C22semidirect
132. #89716C22semidirect
135. C22⋊C4×Dic7C22semidirect
136. C22⋊C4×Dic7C22semidirect
141. C4×C4⋊Dic7C22semidirect
142. C4×C4⋊Dic7C22semidirect
143. #89705C22semidirect
144. C4×Dic7⋊C4C22semidirect
145. #89700C22semidirect
146. #89700C22semidirect
151. #89446C22semidirect
154. #89442C22semidirect
155. #89442C22semidirect
158. #89441C22semidirect
159. #89441C22semidirect
160. #89441C22semidirect
167. #89440C22semidirect
172. #89438C22semidirect
175. #89432C22semidirect
176. #89430C22semidirect
177. #89429C22semidirect
178. #89427C22semidirect
179. #89426C22semidirect
180. #89425C22semidirect
181. #89425C22semidirect
182. #89423C22semidirect
183. #89423C22semidirect
184. #89422C22semidirect
185. #89419C22semidirect
186. #89419C22semidirect
384. #2557D7semidirect
640. #397C2×D7semidirect
653. #393C2×D7semidirect
662. #391C2×D7semidirect
670. #390C2×D7semidirect
698. #388C2×D7semidirect
706. #387C2×D7semidirect
721. #386C2×D7semidirect
757. C4×C22⋊C4C2×D7semidirect
1530. C7#60033semidirect

Maximal subgroups

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

subgroupindex
C7×#25572
#117404482
#117404002
#117403522
#117402832
#117351492
#117349802
#117349762
#117349452
#117342472
#117342422
#117342172
#117341202
#117339742
#117339382
#117338912
#117337502
#117332952
#117330052
#117325682
#117325442
#117323492
#117322212
#117322202
#117321972
#117321042
C4×#64452
#117309932
#117309142
#117309092
#600337