Finite Group Databasebeta

← #13513681

Subgroups — #13513681

Order 1792.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90396C211yesmaximal, characteristic
2C7×#2373C211yesmaximal, characteristic, complemented
3Dic7×#126C211yesmaximal, characteristic, complemented
4#11733649C211yesmaximal, characteristic, complemented
5#11733410C211yesmaximal, characteristic, complemented
6#11733281C211yesmaximal, characteristic
7#11733278C211yesmaximal, characteristic, complemented
8#11733277C211yesmaximal, characteristic, complemented
9#11732900C211yesmaximal, characteristic, complemented
10#11732899C211yesmaximal, characteristic, complemented
11#11732898C211yesmaximal, characteristic, complemented
12#11732756C211yesmaximal, characteristic, complemented
13#11732751C211yesmaximal, characteristic, complemented
14#11732748C211yesmaximal, characteristic, complemented
15#11732386C211yesmaximal, characteristic, complemented
16#11732385C211yesmaximal, characteristic, complemented
17#11732385C211yesmaximal, characteristic, complemented
18#11731845C211yesmaximal, characteristic, complemented
19#11731824C211yesmaximal, characteristic
20#11731220C211yesmaximal, characteristic, complemented
21#11731217C211yesmaximal, characteristic, complemented
22#11731211C211yesmaximal, characteristic, complemented
23C4×#6456C211yesmaximal, characteristic, complemented
24C4×#6456C211yesmaximal, characteristic, complemented
25C4×#6455C211yesmaximal, characteristic, complemented
26C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
27C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
28#11730924C211yesmaximal, characteristic, complemented
29#11730920C211yesmaximal, characteristic, complemented
30#11730862C211yesmaximal, characteristic, complemented
31#11730827C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic
34#90396C4116yescomplemented
35C2×#6460C2211yescharacteristic
36C2×#6459C2211yescharacteristic
37C2×#6457C2211yescharacteristic
38C2×#6457C2211yescharacteristic
39C2×#6456C2211yescharacteristic
40C2×#6456C2211yescharacteristic
41C2×#6456C2211yescharacteristic
42C2×#6456C2211yescharacteristic
43C2×#6455C2211yescharacteristic
44C2×#6455C2211yescharacteristic
45C2×#6450C2211yescharacteristic, complemented
46C2×#6448C2211yescharacteristic
47C2×#6446C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×(C22⋊D7)⋊C4C2211yescharacteristic
50C2×D7×C22⋊C4C2211yescharacteristic
51C2×D7×C22⋊C4C2211yescharacteristic
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×#6442C2211yescharacteristic
55C2×C4×D28C2211yescharacteristic
56C2×C4×D28C2211yescharacteristic
57C2×#6435C2211yescharacteristic
58C2×#6435C2211yescharacteristic
59C2×C42×D7C2211yescharacteristic
60C2×C42×D7C2211yescharacteristic
61C2×C42×D7C2211yescharacteristic
62C2×C42×D7C2211yescharacteristic
63C2×C42×D7C2211yescharacteristic, complemented
64C7×#389C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic
67C7×#388C2211yescharacteristic
68C7×#387C2211yescharacteristic, complemented
69C7×#387C2211yescharacteristic, complemented
70C7×#387C2211yescharacteristic, complemented
71C7×#385C2211yescharacteristic
72C4×C7×C4⋊C4C2211yescharacteristic, complemented
73C4×C7×C4⋊C4C2211yescharacteristic, complemented
74C4×C7×C4⋊C4C2211yescharacteristic, complemented
75C4×C7×C22⋊C4C2211yescharacteristic
76C4×C7×C22⋊C4C2211yescharacteristic
77C7×#376C2211yescharacteristic, complemented
78#89985C2211yescharacteristic
79C4×C22⋊Dic7C2211yescharacteristic
80C4×C22⋊Dic7C2211yescharacteristic
81#89762C2211yescharacteristic, complemented
82#89761C2211yescharacteristic
83#89761C2211yescharacteristic
84#89761C2211yescharacteristic
85#89761C2211yescharacteristic
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic, complemented
88#89759C2211yescharacteristic
89#89753C2211yescharacteristic, complemented
90#89753C2211yescharacteristic, complemented
91#89753C2211yescharacteristic, complemented
92#89750C2211yescharacteristic, complemented
93#89750C2211yescharacteristic, complemented
94#89750C2211yescharacteristic, complemented
95C4⋊C4×Dic7C2211yescharacteristic, complemented
96C4⋊C4×Dic7C2211yescharacteristic, complemented
97C4⋊C4×Dic7C2211yescharacteristic, complemented
98C4⋊C4×Dic7C2211yescharacteristic, complemented
99C4⋊C4×Dic7C2211yescharacteristic, complemented
100C4⋊C4×Dic7C2211yescharacteristic, complemented
101C4⋊C4×Dic7C2211yescharacteristic, complemented
102#89729C2211yescharacteristic
103#89728C2211yescharacteristic
104#89727C2211yescharacteristic
105#89723C2211yescharacteristic
106#89723C2211yescharacteristic
107#89723C2211yescharacteristic
108#89717C2211yescharacteristic
109#89717C2211yescharacteristic
110#89716C2211yescharacteristic
111#89716C2211yescharacteristic
112C22⋊C4×Dic7C2211yescharacteristic
113C22⋊C4×Dic7C2211yescharacteristic
114C22⋊C4×Dic7C2211yescharacteristic
115C22⋊C4×Dic7C2211yescharacteristic
116C22⋊C4×Dic7C2211yescharacteristic
117#89712C2211yescharacteristic, complemented
118#89712C2211yescharacteristic, complemented
119#89712C2211yescharacteristic, complemented
120C4×(C2×D7)⋊C4C2211yescharacteristic
121C4×(C2×D7)⋊C4C2211yescharacteristic
122C4×(C2×D7)⋊C4C2211yescharacteristic
123C4×(C2×D7)⋊C4C2211yescharacteristic
124C4×(C2×D7)⋊C4C2211yescharacteristic
125C4×(C2×D7)⋊C4C2211yescharacteristic
126C4×(C2×D7)⋊C4C2211yescharacteristic
127C4×(C2×D7)⋊C4C2211yescharacteristic
128C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
129C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
130#89709C2211yescharacteristic, complemented
131C4×C4⋊Dic7C2211yescharacteristic, complemented
132#89705C2211yescharacteristic, complemented
133#89705C2211yescharacteristic, complemented
134#89705C2211yescharacteristic, complemented
135#89704C2211yescharacteristic, complemented
136C42×Dic7C2211yescharacteristic, complemented
137C42×Dic7C2211yescharacteristic, complemented
138C42×Dic7C2211yescharacteristic, complemented
139#89701C2211yescharacteristic, complemented
140#89442C2211yescharacteristic, complemented
141#89442C2211yescharacteristic, complemented
142#89440C2211yescharacteristic
143#89440C2211yescharacteristic
144#89440C2211yescharacteristic
145#89439C2211yescharacteristic
146#89438C2211yescharacteristic
147#89438C2211yescharacteristic
148#89438C2211yescharacteristic
149#89438C2211yescharacteristic
150#89438C2211yescharacteristic
151#89438C2211yescharacteristic
152#89438C2211yescharacteristic
153#89438C2211yescharacteristic
154#89438C2211yescharacteristic
155#89438C2211yescharacteristic
156#89438C2211yescharacteristic, complemented
157#89438C2211yescharacteristic, complemented
158#89438C2211yescharacteristic, complemented
159#89438C2211yescharacteristic, complemented
160#89438C2211yescharacteristic, complemented
161#89437C2211yescharacteristic
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89436C2211yescharacteristic
166#89436C2211yescharacteristic
167#89436C2211yescharacteristic, complemented
168D7×#95C2211yescharacteristic
169D7×#95C2211yescharacteristic
170D7×#95C2211yescharacteristic
171D7×#95C2211yescharacteristic
172#89426C2211yescharacteristic, complemented
173#89426C2211yescharacteristic, complemented
174#89426C2211yescharacteristic, complemented
175#89425C2211yescharacteristic, complemented
176#89423C2211yescharacteristic, complemented
177#89422C2211yescharacteristic, complemented
178#89421C2211yescharacteristic, complemented
179#89421C2211yescharacteristic, complemented
180#89421C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89420C2211yescharacteristic, complemented
184#89420C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188C4×#551—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C23×Dic7C2311yescharacteristic
193C22×D28C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×C4×D7—24no—
196C22×C4×D7—24no—
197C22×C4×D7—42no—
198C22×C4×D7C2311yescharacteristic
199C22×C4×D7C2311yescharacteristic
200C22×C4×D7C2311yescharacteristic
201C22×C4×D7C2311yescharacteristic
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×Dic14C2311yescharacteristic
214C7×#126C2×C418yescomplemented
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
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×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(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×C4⋊Dic7C2311yescharacteristic
266C2×C4⋊Dic7C2311yescharacteristic
267C2×C4⋊Dic7C2311yescharacteristic
268C2×C4⋊Dic7C2311yescharacteristic
269C2×C4⋊Dic7C2311yescharacteristic
270C2×Dic7⋊C4C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×C4×Dic7C2311yescharacteristic
280C2×C4×Dic7C2311yescharacteristic
281C2×C4×Dic7C2311yescharacteristic
282C2×C4×Dic7C2311yescharacteristic
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294C2×C4×Dic7C2311yescharacteristic
295C2×C4×Dic7C2311yescharacteristic
296C2×C4×Dic7C2311yescharacteristic
297C2×C4×Dic7C2311yescharacteristic
298C2×C4×Dic7C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304#6460C2×C418yescomplemented
305#6459C2×C418yescomplemented
306#6457C2×C418yescomplemented
307#6457C2×C418yescomplemented
308#6456—24no—
309#6456—24no—
310#6456—24no—
311#6456C2×C418yescomplemented
312#6455—24no—
313#6455C2×C418yescomplemented
314#6450—42no—
315#6448C2×C418yescomplemented
316#6446C2×C418yescomplemented
317#6445C2×C418yes—
318(C22⋊D7)⋊C4—42no—
319D7×C22⋊C4—24no—
320D7×C22⋊C4—24no—
321D7×C22⋊C4C2×C418yescomplemented
322D7×C22⋊C4C2×C418yescomplemented
323#6442C2×C418yescomplemented
324C4×D28—24no—
325C4×D28C2×C418yescomplemented
326#6435—24no—
327#6435C2×C418yescomplemented
328C42×D7—24no—
329C42×D7—24no—
330C42×D7—42no—
331C42×D7—42no—
332C42×D7—42no—
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
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#551—71no—
378#2374—71no—
379#2373—71no—
380#2373D711yescharacteristic, complemented
381#2372—71no—
382#2368—71no—
383#2368—71no—
384#2359—71no—
385#2359—71no—
386#2358—71no—
387#2353—71no—
388#2353—71no—
389#2343—71no—
390#2343—71no—
391#2342—71no—
392#2342—71no—
393C4×#126—71no—
394C4×#126—71no—
395C4×#124—71no—
396C4×C22⋊Q8—71no—
397C4×C22⋊Q8—71no—
398C4×#123—71no—
399C4×#123—71no—
400C4×#123—71no—
401C4×#120—71no—
402C42×D4—71no—
403C42×D4—71no—
404C4×#117—71no—
405C4×#117—71no—
406C2×C4×C22⋊C4—71no—
407C2×C4×C22⋊C4—71no—
408C24×C7C2411yescharacteristic
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7C22×C414yes—
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C22×C4×C7—22no—
420C22×C4×C7—22no—
421C22×C4×C7—41no—
422C22×C4×C7C2411yescharacteristic
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
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
436C2×C22⋊D7—41no—
437C2×C22⋊D7—41no—
438C2×C22⋊D7C22×C414yes—
439C22×Dic7—22no—
440C22×Dic7—22no—
441C22×Dic7—22no—
442C22×Dic7C2411yescharacteristic
443C22×Dic7C2411yescharacteristic
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C2×D28—22no—
456C2×D28—22no—
457C2×D28—22no—
458C2×D28—22no—
459C2×D28C22×C414yes—
460C2×D28C22×C414yes—
461C2×C4×D7—22no—
462C2×C4×D7—22no—
463C2×C4×D7—22no—
464C2×C4×D7—22no—
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—416no—
487C2×C4×D7—41no—
488C2×C4×D7—41no—
489C2×C4×D7—41no—
490C2×C4×D7—41no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7C22×C414yes—
501C2×C4×D7C22×C414yes—
502C2×C4×D7C22×C414yes—
503C2×C4×D7C22×C414yes—
504C2×C4×D7C22×C414yescomplemented
505C2×C4×D7#4114yes—
506C2×C4×D7#4114yes—
507C2×Dic14—41no—
508C2×Dic14—41no—
509C2×Dic14C22×C414yescomplemented
510C7×C4⋊C4—22no—
511C7×C4⋊C4—22no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—22no—
514C7×C4⋊C4—41no—
515C7×C4⋊C4C22×C414yescomplemented
516C7×C4⋊C4C22×C414yescomplemented
517C7×C4⋊C4C22×C414yescomplemented
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—41no—
521C7×C22⋊C4C22×C414yes—
522C7×C22⋊C4C22×C414yes—
523C7×C22⋊C4C22×C414yes—
524C42×C7—22no—
525C42×C7—22no—
526C42×C7—22no—
527C42×C7—22no—
528C42×C7—41no—
529C42×C7—41no—
530C42×C7—41no—
531C42×C7C22×C414yescomplemented
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—41no—
535C22⋊Dic7C22×C414yes—
536C22⋊Dic7C22×C414yes—
537(C2×D7)⋊C4—22no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—41no—
548(C2×D7)⋊C4—41no—
549(C2×D7)⋊C4C22×C414yes—
550(C2×D7)⋊C4C22×C414yes—
551(C2×D7)⋊C4C22×C414yes—
552(C2×D7)⋊C4C22×C414yes—
553(C2×D7)⋊C4C22×C414yes—
554(C2×D7)⋊C4C22×C414yes—
555(C2×D7)⋊C4C22×C414yescomplemented
556(C2×D7)⋊C4C22×C414yescomplemented
557(C2×D7)⋊C4C22×C414yescomplemented
558(C2×D7)⋊C4#4114yes—
559(C2×D7)⋊C4#4114yes—
560C4⋊Dic7—22no—
561C4⋊Dic7—22no—
562C4⋊Dic7—41no—
563C4⋊Dic7C22×C414yescomplemented
564C4⋊Dic7C22×C414yescomplemented
565Dic7⋊C4—22no—
566Dic7⋊C4—22no—
567Dic7⋊C4—41no—
568Dic7⋊C4—41no—
569Dic7⋊C4—41no—
570Dic7⋊C4—41no—
571Dic7⋊C4C22×C414yescomplemented
572Dic7⋊C4C22×C414yescomplemented
573Dic7⋊C4C22×C414yescomplemented
574C4×Dic7—22no—
575C4×Dic7—22no—
576C4×Dic7—22no—
577C4×Dic7—22no—
578C4×Dic7—22no—
579C4×Dic7—22no—
580C4×Dic7—22no—
581C4×Dic7—22no—
582C4×Dic7—22no—
583C4×Dic7—22no—
584C4×Dic7—22no—
585C4×Dic7—22no—
586C4×Dic7—22no—
587C4×Dic7—22no—
588C4×Dic7—22no—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—41no—
592C4×Dic7—41no—
593C4×Dic7—41no—
594C4×Dic7—41no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7C22×C414yescomplemented
598C4×Dic7C22×C414yescomplemented
599C24×C4—71no—
600#551—716no—
601C2×#126—71no—
602C2×#126C2×D711yescharacteristic
603C2×#124—71no—
604C2×#123—71no—
605C2×#123—71no—
606C2×#123—71no—
607C2×C22⋊Q8—71no—
608C2×C22⋊Q8—71no—
609C2×#120—71no—
610C2×C4×Q8—71no—
611C2×C4×D4—71no—
612C2×C4×D4—71no—
613C2×C4×D4—71no—
614C2×C4×D4—71no—
615C2×C4×D4—71no—
616C2×C4×D4—71no—
617C2×C4×D4—71no—
618C2×#117—71no—
619C2×#117—71no—
620C2×#117—71no—
621C2×#117—71no—
622C22×C22⋊C4—71no—
623C22×C22⋊C4—71no—
624C22×C22⋊C4—71no—
625C22×C22⋊C4—71no—
626C22×C42—71no—
627C22×C42—71no—
628C22×C42—71no—
629C22×C42—71no—
630C22×C42—71no—
631#391—71no—
632#391—71no—
633#391—71no—
634#390—71no—
635#389—71no—
636#389C2×D711yescharacteristic, complemented
637#388—71no—
638#388—71no—
639#388—71no—
640#388—71no—
641#388—71no—
642#388—71no—
643#388—71no—
644#388—71no—
645#388—71no—
646#388—71no—
647#388—71no—
648#388—71no—
649#388—71no—
650#388C2×D711yescharacteristic
651#388C2×D711yescharacteristic
652#388C2×D711yescharacteristic
653#387—71no—
654#387—71no—
655#387—71no—
656#387—71no—
657#387—71no—
658#387—71no—
659#387—71no—
660#387—71no—
661#387—71no—
662#387—71no—
663#387—71no—
664#387—71no—
665#387—71no—
666#387C2×D711yescharacteristic, complemented
667#387C2×D711yescharacteristic, complemented
668#387C2×D711yescharacteristic, complemented
669#386—71no—
670#386—71no—
671#386—71no—
672#386—71no—
673#386—71no—
674#386—71no—
675#385—71no—
676#385—71no—
677#385—71no—
678#385—71no—
679#385—71no—
680#385—71no—
681#385—71no—
682#385—71no—
683#385—71no—
684#385C2×D711yescharacteristic
685#383—71no—
686#383—71no—
687#382—71no—
688#381—71no—
689#381—71no—
690#381—71no—
691#380—71no—
692#380—71no—
693#379—71no—
694C4×C4⋊C4—71no—
695C4×C4⋊C4—71no—
696C4×C4⋊C4—71no—
697C4×C4⋊C4—71no—
698C4×C4⋊C4—71no—
699C4×C4⋊C4—71no—
700C4×C4⋊C4—71no—
701C4×C4⋊C4—71no—
702C4×C4⋊C4—71no—
703C4×C4⋊C4—71no—
704C4×C4⋊C4—71no—
705C4×C4⋊C4—71no—
706C4×C4⋊C4—71no—
707C4×C4⋊C4C2×D711yescharacteristic, complemented
708C4×C4⋊C4C2×D711yescharacteristic, complemented
709C4×C4⋊C4C2×D711yescharacteristic, complemented
710C4×C22⋊C4—71no—
711C4×C22⋊C4—71no—
712C4×C22⋊C4—71no—
713C4×C22⋊C4—71no—
714C4×C22⋊C4—71no—
715C4×C22⋊C4—71no—
716C4×C22⋊C4—71no—
717C4×C22⋊C4—71no—
718C4×C22⋊C4—71no—
719C4×C22⋊C4—71no—
720C4×C22⋊C4—71no—
721C4×C22⋊C4—71no—
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⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4C2×D711yescharacteristic
743C4×C22⋊C4C2×D711yescharacteristic
744#376—71no—
745#376—71no—
746#376—71no—
747#376C2×D711yescharacteristic, complemented
748C2×#95—71no—
749C2×#95—71no—
750C2×#95—71no—
751C2×#95—71no—
752C43—71no—
753C43—71no—
754C43—71no—
755C23×C7—21no—
756C23×C7—21no—
757C23×C7—21no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7C23×C412yes—
762C23×C7C2511yescharacteristic
763C22×D7—21no—
764C22×D7—21no—
765C22×D7—21no—
766C22×D7—21no—
767C22×D7—21no—
768C22×D7—21no—
769C22×D7—21no—
770C22×D7—21no—
771C22×D7—21no—
772C22×D7—21no—
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—28no—
778C22×D7—28no—
779C22×D7—44no—
780C22×D7—44no—
781C22×D7—44no—
782C22×D7—44no—
783C22×D7—44no—
784C22×D7C23×C412yes—
785C22×D7C23×C412yes—
786C22×D7C23×C412yes—
787C22×D7C2×#4112yes—
788C22×D7C2×#4112yes—
789C22×D7C2×#4112yes—
790C22×D7C2×#4112yes—
791C2×C4×C7—21no—
792C2×C4×C7—21no—
793C2×C4×C7—21no—
794C2×C4×C7—21no—
795C2×C4×C7—21no—
796C2×C4×C7—21no—
797C2×C4×C7—21no—
798C2×C4×C7—21no—
799C2×C4×C7—21no—
800C2×C4×C7—21no—
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—44no—
824C2×C4×C7C23×C412yes—
825C2×C4×C7C23×C412yes—
826C2×C4×C7C23×C412yes—
827C2×C4×C7C23×C412yes—
828C2×C4×C7C23×C412yes—
829C2×C4×C7C23×C412yes—
830C2×C4×C7C2×#4112yes—
831C2×C4×C7C2×#4112yes—
832C2×C4×C7C2×#4112yes—
833C2×C4×C7C2×#4112yes—
834C22⋊D7—44no—
835C2×Dic7—21no—
836C2×Dic7—21no—
837C2×Dic7—21no—
838C2×Dic7—21no—
839C2×Dic7—21no—
840C2×Dic7—21no—
841C2×Dic7—21no—
842C2×Dic7—21no—
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—44no—
865C2×Dic7C23×C412yes—
866C2×Dic7C23×C412yes—
867C2×Dic7C23×C412yes—
868C2×Dic7C23×C412yes—
869C2×Dic7C23×C412yes—
870C2×Dic7C2×#4112yes—
871C2×Dic7C2×#4112yes—
872C2×Dic7C2×#4112yes—
873C2×Dic7C2×#4112yes—
874C2×Dic7H(5,𝔽2)12yes—
875D28—28no—
876D28—28no—
877C4×D7—28no—
878C4×D7—28no—
879C4×D7—28no—
880C4×D7—28no—
881C4×D7—44no—
882C4×D7—44no—
883C4×D7—44no—
884C4×D7—44no—
885C4×D7—44no—
886C4×D7—44no—
887C4×D7—44no—
888C4×D7—44no—
889C4×D7—44no—
890C4×D7—44no—
891C4×D7—44no—
892Dic14—44no—
893C25—71no—
894C22×Q8—71no—
895C22×D4—71no—
896C22×D4—71no—
897C22×D4—71no—
898C23×C4—71no—
899C23×C4—71no—
900C23×C4—71no—
901C23×C4—71no—
902C23×C4—71no—
903C23×C4—71no—
904C23×C4—71no—
905C23×C4—71no—
906C23×C4—71no—
907C23×C4—71no—
908C23×C4—71no—
909C23×C4—71no—
910C23×C4—71no—
911C23×C4—71no—
912C23×C4—71no—
913C23×C4—71no—
914C23×C4—144no—
915C23×C4—144no—
916C23×C4—282no—
917C23×C4C22×D711yescharacteristic
918#126—78no—
919#126C4×D718yescomplemented
920#124—78no—
921#123—78no—
922#123—78no—
923#123—78no—
924C22⋊Q8—78no—
925C22⋊Q8—78no—
926#120—78no—
927C4×Q8—282no—
928C4×D4—78no—
929C4×D4—78no—
930C4×D4—144no—
931C4×D4—144no—
932C4×D4—144no—
933C4×D4—144no—
934C4×D4—282no—
935#117—78no—
936#117—78no—
937#117—144no—
938#117—144no—
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—71no—
947C2×C4⋊C4—71no—
948C2×C4⋊C4—71no—
949C2×C4⋊C4—71no—
950C2×C4⋊C4—71no—
951C2×C4⋊C4—71no—
952C2×C4⋊C4—71no—
953C2×C4⋊C4C22×D711yescharacteristic
954C2×C4⋊C4C22×D711yescharacteristic
955C2×C4⋊C4C22×D711yescharacteristic
956C2×C4⋊C4C22×D711yescharacteristic
957C2×C4⋊C4C22×D711yescharacteristic
958C2×C4⋊C4C22×D711yescharacteristic
959C2×C4⋊C4C22×D711yescharacteristic
960C2×C4⋊C4C22×D711yescharacteristic
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—78no—
975C2×C22⋊C4—78no—
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⋊C4C22×D711yescharacteristic
994C2×C22⋊C4C22×D711yescharacteristic
995C2×C22⋊C4C22×D711yescharacteristic
996C2×C22⋊C4C22×D711yescharacteristic
997C2×C22⋊C4C22×D711yescharacteristic
998C2×C22⋊C4C22×D711yescharacteristic
999C2×C42—71no—
1000C2×C42—71no—
1001C2×C42—71no—
1002C2×C42—71no—
1003C2×C42—71no—
1004C2×C42—71no—
1005C2×C42—71no—
1006C2×C42—71no—
1007C2×C42—71no—
1008C2×C42—71no—
1009C2×C42—71no—
1010C2×C42—71no—
1011C2×C42—71no—
1012C2×C42—71no—
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—144no—
1025C2×C42—144no—
1026C2×C42—282no—
1027C2×C42—282no—
1028C2×C42—282no—
1029C2×C42C22×D711yescharacteristic
1030C2×C42C22×D711yescharacteristic
1031C2×C42C22×D711yescharacteristic
1032C2×C42C22×D711yescharacteristic
1033C2×C42C22×D711yescharacteristic
1034C2×C42C22×D711yescharacteristic
1035C2×C42C22×D711yescharacteristic
1036C2×C42C22×D711yescharacteristic
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×C7C24×C411yescharacteristic
1089C22×C7C22×#4111yescharacteristic
1090C22×C7C22×#4111yescharacteristic
1091C22×C7C22×#4111yescharacteristic
1092C22×C7C22×#4111yescharacteristic
1093C22×C7C2×H(5,𝔽2)11yescharacteristic
1094C22×C7#58511yescharacteristic
1095C2×D7—22no—
1096C2×D7—22no—
1097C2×D7—22no—
1098C2×D7—22no—
1099C2×D7—22no—
1100C2×D7—22no—
1101C2×D7—22no—
1102C2×D7—22no—
1103C2×D7—22no—
1104C2×D7—22no—
1105C2×D7—22no—
1106C2×D7—22no—
1107C2×D7—22no—
1108C2×D7—22no—
1109C2×D7—22no—
1110C2×D7—416no—
1111C2×D7—41no—
1112C2×D7—41no—
1113C2×D7—41no—
1114C2×D7—41no—
1115C2×D7C4×#4114yes—
1116C2×D7C4×#4114yes—
1117C4×C7—22no—
1118C4×C7—22no—
1119C4×C7—22no—
1120C4×C7—22no—
1121C4×C7—22no—
1122C4×C7—22no—
1123C4×C7—22no—
1124C4×C7—22no—
1125C4×C7—22no—
1126C4×C7—22no—
1127C4×C7—41no—
1128C4×C7—41no—
1129C4×C7—41no—
1130C4×C7—41no—
1131Dic7—22no—
1132Dic7—22no—
1133Dic7—22no—
1134Dic7—22no—
1135Dic7—22no—
1136Dic7—22no—
1137Dic7—22no—
1138Dic7—41no—
1139Dic7—41no—
1140Dic7—41no—
1141Dic7—41no—
1142Dic7—41no—
1143Dic7#55114yescomplemented
1144C24—71no—
1145C24—71no—
1146C24—71no—
1147C24—74no—
1148C24—142no—
1149C24—142no—
1150C24—142no—
1151C24—142no—
1152C24—281no—
1153C24—281no—
1154C24C23×D711yescharacteristic
1155C2×Q8—74no—
1156C2×Q8—281no—
1157C2×Q8—281no—
1158C2×D4—74no—
1159C2×D4—74no—
1160C2×D4—74no—
1161C2×D4—142no—
1162C2×D4—142no—
1163C2×D4—142no—
1164C2×D4—142no—
1165C2×D4—281no—
1166C2×D4—281no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—41no—
1170C22×C4—71no—
1171C22×C4—71no—
1172C22×C4—71no—
1173C22×C4—71no—
1174C22×C4—71no—
1175C22×C4—71no—
1176C22×C4—71no—
1177C22×C4—71no—
1178C22×C4—74no—
1179C22×C4—74no—
1180C22×C4—74no—
1181C22×C4—74no—
1182C22×C4—74no—
1183C22×C4—74no—
1184C22×C4—74no—
1185C22×C4—71no—
1186C22×C4—71no—
1187C22×C4—71no—
1188C22×C4—71no—
1189C22×C4—71no—
1190C22×C4—142no—
1191C22×C4—142no—
1192C22×C4—142no—
1193C22×C4—142no—
1194C22×C4—142no—
1195C22×C4—142no—
1196C22×C4—142no—
1197C22×C4—142no—
1198C22×C4—142no—
1199C22×C4—142no—
1200C22×C4—142no—
1201C22×C4—142no—
1202C22×C4—142no—
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—281no—
1219C22×C4—281no—
1220C22×C4—281no—
1221C22×C4—281no—
1222C22×C4—281no—
1223C22×C4—281no—
1224C22×C4—281no—
1225C22×C4—281no—
1226C22×C4—281no—
1227C22×C4—281no—
1228C22×C4—281no—
1229C22×C4—281no—
1230C22×C4—281no—
1231C22×C4—2816no—
1232C22×C4C23×D711yescharacteristic
1233C22×C4C23×D711yescharacteristic
1234C22×C4C23×D711yescharacteristic
1235C22×C4C23×D711yescharacteristic
1236C22×C4C23×D711yescharacteristic
1237C22×C4C23×D711yescharacteristic
1238C22×C4C23×D711yescharacteristic
1239C22×C4C23×D711yescharacteristic
1240C22×C4C23×D711yescharacteristic
1241C22×C4C23×D711yescharacteristic
1242C22×C4C23×D711yescharacteristic
1243C22×C4C23×D711yescharacteristic
1244C22×C4C23×D711yescharacteristic
1245C22×C4C23×D711yescharacteristic
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—41no—
1251C4⋊C4—74no—
1252C4⋊C4—74no—
1253C4⋊C4—74no—
1254C4⋊C4—74no—
1255C4⋊C4—74no—
1256C4⋊C4—142no—
1257C4⋊C4—142no—
1258C4⋊C4—142no—
1259C4⋊C4—142no—
1260C4⋊C4—281no—
1261C4⋊C4—281no—
1262C4⋊C4—281no—
1263C4⋊C4—281no—
1264C4⋊C4—281no—
1265C4⋊C4C2×C4×D714yescomplemented
1266C4⋊C4C2×C4×D714yescomplemented
1267C4⋊C4C2×C4×D714yescomplemented
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—74no—
1272C22⋊C4—74no—
1273C22⋊C4—74no—
1274C22⋊C4—74no—
1275C22⋊C4—74no—
1276C22⋊C4—74no—
1277C22⋊C4—74no—
1278C22⋊C4—74no—
1279C22⋊C4—74no—
1280C22⋊C4—74no—
1281C22⋊C4—74no—
1282C22⋊C4—74no—
1283C22⋊C4—74no—
1284C22⋊C4—142no—
1285C22⋊C4—142no—
1286C22⋊C4—142no—
1287C22⋊C4—142no—
1288C22⋊C4—142no—
1289C22⋊C4—142no—
1290C22⋊C4—142no—
1291C22⋊C4—142no—
1292C22⋊C4—142no—
1293C22⋊C4—142no—
1294C22⋊C4—142no—
1295C22⋊C4—142no—
1296C22⋊C4—281no—
1297C22⋊C4—281no—
1298C22⋊C4—281no—
1299C22⋊C4C2×C4×D714yes—
1300C22⋊C4C2×C4×D714yes—
1301C22⋊C4C2×C4×D714yes—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—74no—
1310C42—74no—
1311C42—142no—
1312C42—142no—
1313C42—142no—
1314C42—142no—
1315C42—142no—
1316C42—142no—
1317C42—142no—
1318C42—142no—
1319C42—142no—
1320C42—142no—
1321C42—142no—
1322C42—142no—
1323C42—142no—
1324C42—142no—
1325C42—142no—
1326C42—142no—
1327C42—142no—
1328C42—281no—
1329C42—281no—
1330C42—281no—
1331C42—281no—
1332C42—281no—
1333C42—281no—
1334C42C2×C4×D714yescomplemented
1335C2×C7—42no—
1336C2×C7C2×C4×#4111yescharacteristic
1337C2×C7C2×C4×#4111yescharacteristic
1338C2×C7C4×H(5,𝔽2)11yescharacteristic
1339C2×C7C2×#55111yescharacteristic
1340C2×C7#347511yescharacteristic
1341C2×C7#347511yescharacteristic
1342C2×C7#348111yescharacteristic
1343D7—24no—
1344D7—24no—
1345D7—42no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—72no—
1353C23—72no—
1354C23—72no—
1355C23—72no—
1356C23—72no—
1357C23—72no—
1358C23—72no—
1359C23—148no—
1360C23—148no—
1361C23—141no—
1362C23—141no—
1363C23—141no—
1364C23—141no—
1365C23—141no—
1366C23—141no—
1367C23—141no—
1368C23—141no—
1369C23—141no—
1370C23—141no—
1371C23—141no—
1372C23—141no—
1373C23—141no—
1374C23—141no—
1375C23—284no—
1376C23—284no—
1377C23—284no—
1378C23—284no—
1379C23—284no—
1380C23C22×C4×D712yes—
1381C23C24×D711yescharacteristic
1382Q8—284no—
1383D4—148no—
1384D4—148no—
1385D4—284no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—72no—
1420C2×C4—72no—
1421C2×C4—72no—
1422C2×C4—72no—
1423C2×C4—72no—
1424C2×C4—72no—
1425C2×C4—72no—
1426C2×C4—72no—
1427C2×C4—72no—
1428C2×C4—72no—
1429C2×C4—148no—
1430C2×C4—148no—
1431C2×C4—148no—
1432C2×C4—148no—
1433C2×C4—141no—
1434C2×C4—141no—
1435C2×C4—141no—
1436C2×C4—141no—
1437C2×C4—141no—
1438C2×C4—141no—
1439C2×C4—141no—
1440C2×C4—141no—
1441C2×C4—141no—
1442C2×C4—141no—
1443C2×C4—141no—
1444C2×C4—141no—
1445C2×C4—141no—
1446C2×C4—141no—
1447C2×C4—141no—
1448C2×C4—141no—
1449C2×C4—141no—
1450C2×C4—141no—
1451C2×C4—141no—
1452C2×C4—141no—
1453C2×C4—141no—
1454C2×C4—141no—
1455C2×C4—141no—
1456C2×C4—141no—
1457C2×C4—141no—
1458C2×C4—141no—
1459C2×C4—141no—
1460C2×C4—141no—
1461C2×C4—141no—
1462C2×C4—284no—
1463C2×C4—284no—
1464C2×C4—284no—
1465C2×C4—284no—
1466C2×C4—284no—
1467C2×C4—284no—
1468C2×C4—284no—
1469C2×C4—284no—
1470C2×C4—284no—
1471C2×C4—284no—
1472C2×C4—284no—
1473C2×C4—284no—
1474C2×C4C22×C4×D712yes—
1475C2×C4C22×C4×D712yes—
1476C2×C4C22×C4×D712yes—
1477C2×C4C22×C4×D712yes—
1478C2×C4C22×C4×D712yes—
1479C2×C4C22×C4×D712yes—
1480C2×C4D7×#4112yes—
1481C2×C4D7×#4112yes—
1482C2×C4D7×#4112yes—
1483C2×C4D7×#4112yes—
1484C7C4×#55111yescharacteristic, complemented, Sylow
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—74no—
1493C22—74no—
1494C22—142no—
1495C22—142no—
1496C22—142no—
1497C22—142no—
1498C22—142no—
1499C22—142no—
1500C22—142no—
1501C22—142no—
1502C22—142no—
1503C22—142no—
1504C22—142no—
1505C22—142no—
1506C22—142no—
1507C22—142no—
1508C22—142no—
1509C22—2816no—
1510C22—281no—
1511C22—281no—
1512C22—281no—
1513C22—281no—
1514C22C23×C4×D711yescharacteristic
1515C22C2×D7×#4111yescharacteristic
1516C22C2×D7×#4111yescharacteristic
1517C22C2×D7×#4111yescharacteristic
1518C22C2×D7×#4111yescharacteristic
1519C22D7×H(5,𝔽2)11yescharacteristic
1520C22#9062011yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—74no—
1536C4—142no—
1537C4—142no—
1538C4—142no—
1539C4—142no—
1540C4—142no—
1541C4—142no—
1542C4—142no—
1543C4—281no—
1544C4—281no—
1545C4—281no—
1546C4—281no—
1547C4—281no—
1548C2—42no—
1549C2—144no—
1550C2—144no—
1551C2—282no—
1552C2C4×D7×#4111yescharacteristic
1553C2C4×D7×#4111yescharacteristic
1554C2#1174295411yescharacteristic
1555C2D7×#55111yescharacteristic
1556C2#1174389511yescharacteristic
1557C2#1174394411yescharacteristic
1558C2#1174404711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2373C2
socle, cosocleC23×C7C25
prime radicalC2×#6445C22
hypercenter#2373D7
hypocenterC7C4×#551
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. C7×#2373C2semidirect
3. Dic7×#126C2semidirect
4. #11733649C2semidirect
5. #11733410C2semidirect
7. #11733278C2semidirect
8. #11733277C2semidirect
9. #11732900C2semidirect
10. #11732899C2semidirect
11. #11732898C2semidirect
12. #11732756C2semidirect
13. #11732751C2semidirect
14. #11732748C2semidirect
15. #11732386C2semidirect
16. #11732385C2semidirect
17. #11732385C2semidirect
18. #11731845C2semidirect
20. #11731220C2semidirect
21. #11731217C2semidirect
22. #11731211C2semidirect
23. C4×#6456C2semidirect
24. C4×#6456C2semidirect
25. C4×#6455C2semidirect
26. C4×D7×C22⋊C4C2semidirect
27. C4×D7×C22⋊C4C2semidirect
28. #11730924C2semidirect
29. #11730920C2semidirect
30. #11730862C2semidirect
31. #11730827C2semidirect
34. #90396C4semidirect
45. C2×#6450C22semidirect
63. C2×C42×D7C22semidirect
64. C7×#389C22semidirect
68. C7×#387C22semidirect
69. C7×#387C22semidirect
70. C7×#387C22semidirect
72. C4×C7×C4⋊C4C22semidirect
73. C4×C7×C4⋊C4C22semidirect
74. C4×C7×C4⋊C4C22semidirect
77. C7×#376C22semidirect
81. #89762C22semidirect
87. #89761C22semidirect
89. #89753C22semidirect
90. #89753C22semidirect
91. #89753C22semidirect
92. #89750C22semidirect
93. #89750C22semidirect
94. #89750C22semidirect
95. C4⋊C4×Dic7C22semidirect
96. C4⋊C4×Dic7C22semidirect
97. C4⋊C4×Dic7C22semidirect
98. C4⋊C4×Dic7C22semidirect
99. C4⋊C4×Dic7C22semidirect
100. C4⋊C4×Dic7C22semidirect
101. C4⋊C4×Dic7C22semidirect
117. #89712C22semidirect
118. #89712C22semidirect
119. #89712C22semidirect
128. C4×(C2×D7)⋊C4C22semidirect
129. C4×(C2×D7)⋊C4C22semidirect
130. #89709C22semidirect
131. C4×C4⋊Dic7C22semidirect
132. #89705C22semidirect
133. #89705C22semidirect
134. #89705C22semidirect
135. #89704C22semidirect
136. C42×Dic7C22semidirect
137. C42×Dic7C22semidirect
138. C42×Dic7C22semidirect
139. #89701C22semidirect
140. #89442C22semidirect
141. #89442C22semidirect
156. #89438C22semidirect
157. #89438C22semidirect
158. #89438C22semidirect
159. #89438C22semidirect
160. #89438C22semidirect
167. #89436C22semidirect
172. #89426C22semidirect
173. #89426C22semidirect
174. #89426C22semidirect
175. #89425C22semidirect
176. #89423C22semidirect
177. #89422C22semidirect
178. #89421C22semidirect
179. #89421C22semidirect
180. #89421C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89420C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
214. C7×#126C2×C4semidirect
304. #6460C2×C4semidirect
305. #6459C2×C4semidirect
306. #6457C2×C4semidirect
307. #6457C2×C4semidirect
311. #6456C2×C4semidirect
313. #6455C2×C4semidirect
315. #6448C2×C4semidirect
316. #6446C2×C4semidirect
321. D7×C22⋊C4C2×C4semidirect
322. D7×C22⋊C4C2×C4semidirect
323. #6442C2×C4semidirect
325. C4×D28C2×C4semidirect
327. #6435C2×C4semidirect
380. #2373D7semidirect
504. C2×C4×D7C22×C4semidirect
509. C2×Dic14C22×C4semidirect
515. C7×C4⋊C4C22×C4semidirect
516. C7×C4⋊C4C22×C4semidirect
517. C7×C4⋊C4C22×C4semidirect
531. C42×C7C22×C4semidirect
555. (C2×D7)⋊C4C22×C4semidirect
556. (C2×D7)⋊C4C22×C4semidirect
557. (C2×D7)⋊C4C22×C4semidirect
563. C4⋊Dic7C22×C4semidirect
564. C4⋊Dic7C22×C4semidirect
571. Dic7⋊C4C22×C4semidirect
572. Dic7⋊C4C22×C4semidirect
573. Dic7⋊C4C22×C4semidirect
597. C4×Dic7C22×C4semidirect
598. C4×Dic7C22×C4semidirect
636. #389C2×D7semidirect
666. #387C2×D7semidirect
667. #387C2×D7semidirect
668. #387C2×D7semidirect
707. C4×C4⋊C4C2×D7semidirect
708. C4×C4⋊C4C2×D7semidirect
709. C4×C4⋊C4C2×D7semidirect
747. #376C2×D7semidirect
919. #126C4×D7semidirect
1143. Dic7#551semidirect
1265. C4⋊C4C2×C4×D7semidirect
1266. C4⋊C4C2×C4×D7semidirect
1267. C4⋊C4C2×C4×D7semidirect
1334. C42C2×C4×D7semidirect
1484. C7C4×#551semidirect

Maximal subgroups

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

subgroupindex
C2×#903962
C7×#23732
Dic7×#1262
#117336492
#117334102
#117332812
#117332782
#117332772
#117329002
#117328992
#117328982
#117327562
#117327512
#117327482
#117323862
#117323852
#117318452
#117318242
#117312202
#117312172
#117312112
C4×#64562
C4×#64552
C4×D7×C22⋊C42
#117309242
#117309202
#117308622
#117308272
C4×#5517