Finite Group Databasebeta

← C7×#62075 #13239291

Subgroups — C7×#62075 #13239291

Order 1792.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3562C211yesmaximal, characteristic, complemented
2C7×#3519C211yesmaximal, characteristic, complemented
3C7×#3399C211yesmaximal, characteristic, complemented
4C7×#3397C211yesmaximal, characteristic, complemented
5C7×#3376C211yesmaximal, characteristic, complemented
6C7×#3370C211yesmaximal, characteristic, complemented
7C7×#3326C211yesmaximal, characteristic, complemented
8C7×#3322C211yesmaximal, characteristic, complemented
9C7×#3321C211yesmaximal, characteristic, complemented
10C7×#3319C211yesmaximal, characteristic, complemented
11C7×#3309C211yesmaximal, characteristic, complemented
12C7×#3307C211yesmaximal, characteristic, complemented
13C7×#3274C211yesmaximal, characteristic, complemented
14C7×#3272C211yesmaximal, characteristic, complemented
15C7×#3265C211yesmaximal, characteristic, complemented
16C7×#3265C211yesmaximal, characteristic, complemented
17C7×#3264C211yesmaximal, characteristic, complemented
18C7×#3264C211yesmaximal, characteristic, complemented
19C7×#3260C211yesmaximal, characteristic, complemented
20C7×#3259C211yesmaximal, characteristic, complemented
21C7×#3251C211yesmaximal, characteristic, complemented
22C7×#3221C211yesmaximal, characteristic, complemented
23C7×#3220C211yesmaximal, characteristic, complemented
24C7×#3214C211yesmaximal, characteristic, complemented
25C7×#3123C211yesmaximal, characteristic, complemented
26C7×#3122C211yesmaximal, characteristic, complemented
27C7×#3114C211yesmaximal, characteristic, complemented
28C7×#3042C211yesmaximal, characteristic, complemented
29C7×#3041C211yesmaximal, characteristic, complemented
30C7×#3036C211yesmaximal, characteristic, complemented
31C7×#2995C211yesmaximal, characteristic, complemented
32C2×C7×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C7×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C7×AGL(1,ℤ/8)C2211yescharacteristic
35C2×C7×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C22×C7×SD16C2211yescharacteristic, complemented
37C22×C7×D8C2211yescharacteristic
38C7×#562—21no—
39C7×#560—21no—
40C7×#559C2211yescharacteristic, complemented
41C7×#556C2211yescharacteristic, complemented
42C7×#555C2211yescharacteristic
43C7×#554C2211yescharacteristic, complemented
44C7×#553—21no—
45C7×#553—21no—
46C7×#553C2211yescharacteristic
47C7×#553C2211yescharacteristic, complemented
48C7×#551—21no—
49C7×#550C2211yescharacteristic, complemented
50C7×#550C2211yescharacteristic, complemented
51C7×#548C2211yescharacteristic, complemented
52C7×#548C2211yescharacteristic, complemented
53C7×#547C2211yescharacteristic, complemented
54C7×#546—21no—
55C7×#546—21no—
56C7×#546—21no—
57C7×#546C2211yescharacteristic, complemented
58C7×#546C2211yescharacteristic, complemented
59C7×D42C2211yescharacteristic
60C7×D42C2211yescharacteristic
61C7×D42C2211yescharacteristic, complemented
62C7×#541C2211yescharacteristic, complemented
63C7×#540—21no—
64C7×#540C2211yescharacteristic
65C7×#540C2211yescharacteristic, complemented
66C7×#540C2211yescharacteristic, complemented
67C7×#539—21no—
68C7×#538—21no—
69C7×#538—21no—
70C7×#538—21no—
71C7×#538—21no—
72C7×#536C2211yescharacteristic, complemented
73C7×#535C2211yescharacteristic, complemented
74C7×#532C2211yescharacteristic, complemented
75C7×#532C2211yescharacteristic, complemented
76C7×#529C2211yescharacteristic
77C7×#529C2211yescharacteristic, complemented
78C7×#525—21no—
79C2×C7×#121—21no—
80C7×#518C2211yescharacteristic
81C7×#518C2211yescharacteristic, complemented
82C2×C4×C7×D4C2211yescharacteristic, complemented
83C7×#496C2211yescharacteristic, complemented
84C7×#496C2211yescharacteristic, complemented
85C7×#496C2211yescharacteristic, complemented
86C7×#496C2211yescharacteristic, complemented
87C7×#493C2211yescharacteristic, complemented
88C7×#492C2211yescharacteristic, complemented
89C7×#491C2211yescharacteristic, complemented
90C7×#490C2211yescharacteristic, complemented
91C7×#489C2211yescharacteristic, complemented
92C7×#489C2211yescharacteristic, complemented
93C7×#488C2211yescharacteristic, complemented
94C7×#488C2211yescharacteristic, complemented
95C7×#485C2211yescharacteristic, complemented
96C7×#485C2211yescharacteristic, complemented
97C7×#483C2211yescharacteristic, complemented
98C7×#482C2211yescharacteristic, complemented
99C7×#482C2211yescharacteristic, complemented
100C7×#480C2211yescharacteristic, complemented
101C7×#479C2211yescharacteristic, complemented
102C7×#479C2211yescharacteristic, complemented
103C7×#478C2211yescharacteristic, complemented
104C7×#478C2211yescharacteristic, complemented
105C7×#478C2211yescharacteristic, complemented
106C7×#478C2211yescharacteristic, complemented
107C7×#478C2211yescharacteristic, complemented
108C7×#478C2211yescharacteristic, complemented
109C7×#475C2211yescharacteristic, complemented
110C7×#474C2211yescharacteristic, complemented
111C7×#469C2211yescharacteristic, complemented
112C7×#469C2211yescharacteristic, complemented
113C7×#469C2211yescharacteristic, complemented
114C7×#469C2211yescharacteristic, complemented
115C7×#468C2211yescharacteristic, complemented
116C7×#468C2211yescharacteristic, complemented
117C7×#468C2211yescharacteristic, complemented
118C7×#468C2211yescharacteristic, complemented
119C7×#466C2211yescharacteristic, complemented
120C7×#466C2211yescharacteristic, complemented
121C7×#465C2211yescharacteristic, complemented
122C7×#465C2211yescharacteristic, complemented
123C7×#463C2211yescharacteristic
124C7×#463C2211yescharacteristic
125C7×#463C2211yescharacteristic
126C7×#463C2211yescharacteristic
127C7×#463C2211yescharacteristic, complemented
128C7×#463C2211yescharacteristic, complemented
129C7×#463C2211yescharacteristic, complemented
130C7×#463C2211yescharacteristic, complemented
131C7×#463C2211yescharacteristic, complemented
132C7×#463C2211yescharacteristic, complemented
133C7×#463C2211yescharacteristic, complemented
134C7×#463C2211yescharacteristic, complemented
135C7×#461C2211yescharacteristic, complemented
136C7×#461C2211yescharacteristic, complemented
137C7×#461C2211yescharacteristic, complemented
138C7×#461C2211yescharacteristic, complemented
139C7×#461C2211yescharacteristic, complemented
140C7×#461C2211yescharacteristic, complemented
141C7×#460C2211yescharacteristic, complemented
142C7×#460C2211yescharacteristic, complemented
143C7×#460C2211yescharacteristic, complemented
144C7×#459C2211yescharacteristic
145C7×#459C2211yescharacteristic
146C7×#459C2211yescharacteristic, complemented
147C7×#459C2211yescharacteristic, complemented
148C7×#459C2211yescharacteristic, complemented
149C7×#459C2211yescharacteristic, complemented
150C7×#459C2211yescharacteristic, complemented
151C7×#459C2211yescharacteristic, complemented
152C7×#459C2211yescharacteristic, complemented
153C7×#450C2211yescharacteristic
154C7×#450C2211yescharacteristic
155C7×#450C2211yescharacteristic, complemented
156C7×#449C2211yescharacteristic, complemented
157C7×#449C2211yescharacteristic, complemented
158C7×#449C2211yescharacteristic, complemented
159C7×#449C2211yescharacteristic, complemented
160C7×#449C2211yescharacteristic, complemented
161C7×#449C2211yescharacteristic, complemented
162C7×#449C2211yescharacteristic, complemented
163C7×#449C2211yescharacteristic, complemented
164C7×#448C2211yescharacteristic, complemented
165C7×#448C2211yescharacteristic, complemented
166C7×#447C2211yescharacteristic
167C7×#447C2211yescharacteristic
168C7×#447C2211yescharacteristic, complemented
169C7×#447C2211yescharacteristic, complemented
170C7×#447C2211yescharacteristic, complemented
171C7×#446C2211yescharacteristic, complemented
172C7×#446C2211yescharacteristic, complemented
173C7×#442C2211yescharacteristic
174C7×#442C2211yescharacteristic
175C7×#442C2211yescharacteristic, complemented
176C7×#442C2211yescharacteristic, complemented
177C7×#440C2211yescharacteristic, complemented
178C7×#440C2211yescharacteristic, complemented
179C7×#440C2211yescharacteristic, complemented
180C7×#440C2211yescharacteristic, complemented
181C4×C7×SD16C2211yescharacteristic, complemented
182C4×C7×SD16C2211yescharacteristic, complemented
183C4×C7×D8C2211yescharacteristic, complemented
184C4×C7×D8C2211yescharacteristic, complemented
185C7×#436C2211yescharacteristic, complemented
186C7×#436C2211yescharacteristic, complemented
187C7×#435C2211yescharacteristic, complemented
188C7×#435C2211yescharacteristic, complemented
189C7×#435C2211yescharacteristic, complemented
190C7×#435C2211yescharacteristic, complemented
191C7×#433C2211yescharacteristic, complemented
192C7×#433C2211yescharacteristic, complemented
193C7×#432C2211yescharacteristic, complemented
194C7×#424C2211yescharacteristic, complemented
195C7×#424C2211yescharacteristic, complemented
196C7×#423C2211yescharacteristic, complemented
197C7×#419C2211yescharacteristic, complemented
198C7×#418C2211yescharacteristic, complemented
199C7×#417C2211yescharacteristic, complemented
200C7×#417C2211yescharacteristic, complemented
201C7×#416C2211yescharacteristic, complemented
202C7×#416C2211yescharacteristic, complemented
203#62075C711yesmaximal, characteristic, direct product factor, Sylow
204C2×C7×#41—21no—
205C2×C7×#41—21no—
206C2×C7×#41C2311yescharacteristic
207C2×C7×#41C2311yescharacteristic
208C2×C7×#41C2311yescharacteristic
209C2×C7×#41C2311yescharacteristic
210C22×C7×Q8C2311yescharacteristic
211C22×C7×D4—21no—
212C22×C7×D4—21no—
213C22×C7×D4—21no—
214C22×C7×D4C2311yescharacteristic
215C22×C7×D4C2311yescharacteristic
216C22×C7×D4C2311yescharacteristic
217C22×C7×D4C2311yescharacteristic
218C23×C4×C7—21no—
219C7×AGL(1,ℤ/8)—42no—
220C7×AGL(1,ℤ/8)—42no—
221C7×AGL(1,ℤ/8)—42no—
222C7×AGL(1,ℤ/8)—42no—
223C2×C7×SD16—42no—
224C2×C7×SD16C2311yescharacteristic
225C2×C7×SD16C2311yescharacteristic
226C2×C7×SD16C2311yescharacteristic
227C2×C7×SD16C2311yescharacteristic
228C2×C7×SD16C2311yescharacteristic
229C2×C7×SD16C2311yescharacteristic
230C2×C7×SD16C2311yescharacteristic
231C2×C7×SD16C2311yescharacteristic
232C2×C7×SD16C2311yescharacteristic
233C2×C7×SD16C2311yescharacteristic
234C2×C7×SD16C2311yescharacteristic
235C2×C7×SD16C2311yescharacteristic
236C2×C7×D8—42no—
237C2×C7×D8C2311yescharacteristic
238C2×C7×D8C2311yescharacteristic
239C2×C7×D8C2311yescharacteristic
240C2×C7×D8C2311yescharacteristic
241C2×C7×D8C2311yescharacteristic
242C2×C7×D8C2311yescharacteristic
243C2×C7×D8C2311yescharacteristic
244C2×C7×D8C2311yescharacteristic
245C2×C7×D8C2311yescharacteristic
246C2×C7×D8C2311yescharacteristic
247C2×C7×D8C2311yescharacteristic
248C2×C7×D8C2311yescharacteristic
249C2×C7×M16C2311yescharacteristic
250C2×C7×M16C2311yescharacteristic
251C2×C7×M16C2311yescharacteristic
252C2×C7×M16C2311yescharacteristic
253C22×C7×C8C2311yescharacteristic
254C22×C7×C8C2311yescharacteristic
255C7×C4⋊Q8C2311yescharacteristic
256C7×C4⋊Q8C2311yescharacteristic
257C7×C4⋊Q8C2311yescharacteristic
258C7×#127—21no—
259C7×#127C2311yescharacteristic
260C7×#127C2311yescharacteristic
261C7×#127C2311yescharacteristic
262C7×#127C2311yescharacteristic
263C7×#127C2311yescharacteristic
264C7×#126—21no—
265C7×#126—21no—
266C7×#126—21no—
267C7×#126—21no—
268C7×#126—21no—
269C7×#126—21no—
270C7×#126—21no—
271C7×#126D411yescharacteristic
272C7×#126D411yescharacteristic
273C7×#125—21no—
274C7×#125—21no—
275C7×#125D411yescharacteristic
276C7×#125C2311yescharacteristic
277C7×#125C2311yescharacteristic
278C7×#125C2311yescharacteristic
279C7×#124—21no—
280C7×#124—21no—
281C7×#124—21no—
282C7×#124—21no—
283C7×#124—21no—
284C7×#124—21no—
285C7×#124D411yescharacteristic
286C7×#124C2311yescharacteristic
287C7×#124C2311yescharacteristic
288C7×#124C2311yescharacteristic
289C7×#124C2311yescharacteristic
290C7×#124C2311yescharacteristic
291C7×#123—21no—
292C7×#123—21no—
293C7×#123—21no—
294C7×#123—21no—
295C7×#123—21no—
296C7×#123—21no—
297C7×#123—21no—
298C7×#123—21no—
299C7×#123—21no—
300C7×#123—21no—
301C7×#123—21no—
302C7×#123—21no—
303C7×#123—21no—
304C7×#123—21no—
305C7×#123—21no—
306C7×#123—21no—
307C7×#123—21no—
308C7×#123D411yescharacteristic
309C7×#123D411yescharacteristic
310C7×C22⋊Q8—21no—
311C7×C22⋊Q8—21no—
312C7×C22⋊Q8—21no—
313C7×C22⋊Q8—21no—
314C7×C22⋊Q8—21no—
315C7×C22⋊Q8—21no—
316C7×C22⋊Q8—21no—
317C7×C22⋊Q8—21no—
318C7×C22⋊Q8D411yescharacteristic
319C7×C22⋊Q8C2311yescharacteristic
320C7×C22⋊Q8C2311yescharacteristic
321C7×C22⋊Q8C2311yescharacteristic
322C7×#121—21no—
323C7×#121—21no—
324C7×#121—21no—
325C7×#121—21no—
326C7×#121—21no—
327C7×#121—21no—
328C7×#121—21no—
329C7×#121—21no—
330C7×#121—21no—
331C7×#121—21no—
332C7×#121—21no—
333C7×#121—21no—
334C7×#121—21no—
335C7×#121—21no—
336C7×#121—21no—
337C7×#121—21no—
338C7×#121—21no—
339C7×#121—21no—
340C7×#121—21no—
341C7×#121—21no—
342C7×#121—21no—
343C7×#121—21no—
344C7×#121—21no—
345C7×#121—21no—
346C7×#121—21no—
347C7×#121—21no—
348C7×#121—21no—
349C7×#121D411yescharacteristic
350C7×#121C2311yescharacteristic
351C7×#121C2311yescharacteristic
352C7×#121C2311yescharacteristic
353C7×#121C2311yescharacteristic
354C7×#121C2311yescharacteristic
355C7×#121C2311yescharacteristic
356C7×#121C2311yescharacteristic
357C7×#121C2311yescharacteristic
358C7×#121C2311yescharacteristic
359C7×#120—21no—
360C7×#120—21no—
361C7×#120—21no—
362C7×#120—21no—
363C7×#120—21no—
364C7×#120—21no—
365C7×#120—21no—
366C7×#120—21no—
367C7×#120—21no—
368C7×#120—21no—
369C4×C7×Q8C2311yescharacteristic
370C4×C7×Q8C2311yescharacteristic
371C4×C7×Q8C2311yescharacteristic
372C4×C7×Q8C2311yescharacteristic
373C4×C7×D4—21no—
374C4×C7×D4—21no—
375C4×C7×D4—21no—
376C4×C7×D4—21no—
377C4×C7×D4—21no—
378C4×C7×D4—21no—
379C4×C7×D4—21no—
380C4×C7×D4—21no—
381C4×C7×D4—21no—
382C4×C7×D4—21no—
383C4×C7×D4—21no—
384C4×C7×D4—21no—
385C4×C7×D4—21no—
386C4×C7×D4—21no—
387C4×C7×D4—21no—
388C4×C7×D4—21no—
389C4×C7×D4C2311yescharacteristic
390C4×C7×D4C2311yescharacteristic
391C4×C7×D4C2311yescharacteristic
392C4×C7×D4C2311yescharacteristic
393C4×C7×D4C2311yescharacteristic
394C4×C7×D4C2311yescharacteristic
395C4×C7×D4C2311yescharacteristic
396C4×C7×D4C2311yescharacteristic
397C4×C7×D4C2311yescharacteristic
398C4×C7×D4C2311yescharacteristic
399C4×C7×D4C2311yescharacteristic
400C4×C7×D4C2311yescharacteristic
401C4×C7×D4C2311yescharacteristic
402C4×C7×D4C2311yescharacteristic
403C4×C7×D4C2311yescharacteristic
404C4×C7×D4C2311yescharacteristic
405C7×#117—21no—
406C7×#117—21no—
407C7×#117—21no—
408C7×#117C2311yescharacteristic
409C7×#117C2311yescharacteristic
410C7×#117C2311yescharacteristic
411C7×#117C2311yescharacteristic
412C2×C7×C4⋊C4—21no—
413C2×C7×C4⋊C4—21no—
414C2×C7×C4⋊C4C2311yescharacteristic
415C2×C7×C22⋊C4—21no—
416C2×C7×C22⋊C4—21no—
417C2×C7×C22⋊C4—21no—
418C2×C7×C22⋊C4—21no—
419C2×C7×C22⋊C4—21no—
420C2×C7×C22⋊C4—21no—
421C2×C7×C22⋊C4—21no—
422C2×C42×C7C2311yescharacteristic
423C7×#107C2311yescharacteristic
424C7×#107C2311yescharacteristic
425C7×#107C2311yescharacteristic
426C7×#107C2311yescharacteristic
427C7×#106C2311yescharacteristic
428C7×#106C2311yescharacteristic
429C7×#106C2311yescharacteristic
430C7×#106C2311yescharacteristic
431C7×C4⋊C8C2311yescharacteristic
432C7×C4⋊C8C2311yescharacteristic
433C7×C4⋊C8C2311yescharacteristic
434C7×C4⋊C8C2311yescharacteristic
435C7×C4⋊C8C2311yescharacteristic
436C7×C4⋊C8C2311yescharacteristic
437C7×C4⋊C8C2311yescharacteristic
438C7×C4⋊C8C2311yescharacteristic
439C7×C4⋊C8C2311yescharacteristic
440C7×C4⋊C8C2311yescharacteristic
441C7×#103C2311yescharacteristic
442C7×#103C2311yescharacteristic
443C7×#103C2311yescharacteristic
444C7×#103C2311yescharacteristic
445C7×#103C2311yescharacteristic
446C7×#103C2311yescharacteristic
447C7×#103C2311yescharacteristic
448C7×#103C2311yescharacteristic
449C7×#103C2311yescharacteristic
450C7×#103C2311yescharacteristic
451C7×#103C2311yescharacteristic
452C7×#103C2311yescharacteristic
453C7×#102C2311yescharacteristic
454C7×#102C2311yescharacteristic
455C7×#102C2311yescharacteristic
456C7×#102C2311yescharacteristic
457C7×#102C2311yescharacteristic
458C7×#102C2311yescharacteristic
459C7×#102C2311yescharacteristic
460C7×#102C2311yescharacteristic
461C7×#102C2311yescharacteristic
462C7×#102C2311yescharacteristic
463C7×#102C2311yescharacteristic
464C7×#102C2311yescharacteristic
465C7×#102C2311yescharacteristic
466C7×#102C2311yescharacteristic
467C7×#102C2311yescharacteristic
468C7×#102C2311yescharacteristic
469C7×#102C2311yescharacteristic
470C7×#102C2311yescharacteristic
471C7×#102C2311yescharacteristic
472C7×#102C2311yescharacteristic
473C7×C22⋊C8C2311yescharacteristic
474C7×C22⋊C8C2311yescharacteristic
475C7×C22⋊C8C2311yescharacteristic
476C7×C22⋊C8C2311yescharacteristic
477C7×C22⋊C8C2311yescharacteristic
478C7×C22⋊C8C2311yescharacteristic
479C7×#97C2311yescharacteristic
480C7×#97C2311yescharacteristic
481C7×#97C2311yescharacteristic
482C7×#97C2311yescharacteristic
483C4×C7×C8C2311yescharacteristic
484C4×C7×C8C2311yescharacteristic
485#3562C2×C711yescharacteristic, complemented
486#3519C2×C711yescharacteristic, complemented
487#3399C2×C711yescharacteristic, complemented
488#3397C2×C711yescharacteristic, complemented
489#3376C2×C711yescharacteristic, complemented
490#3370C2×C711yescharacteristic, complemented
491#3326C2×C711yescharacteristic, complemented
492#3322C2×C711yescharacteristic, complemented
493#3321C2×C711yescharacteristic, complemented
494#3319C2×C711yescharacteristic, complemented
495#3309C2×C711yescharacteristic, complemented
496#3307C2×C711yescharacteristic, complemented
497#3274C2×C711yescharacteristic, complemented
498#3272C2×C711yescharacteristic, complemented
499#3265C2×C711yescharacteristic, complemented
500#3265C2×C711yescharacteristic, complemented
501#3264C2×C711yescharacteristic, complemented
502#3264C2×C711yescharacteristic, complemented
503#3260C2×C711yescharacteristic, complemented
504#3259C2×C711yescharacteristic, complemented
505#3251C2×C711yescharacteristic, complemented
506#3221C2×C711yescharacteristic, complemented
507#3220C2×C711yescharacteristic, complemented
508#3214C2×C711yescharacteristic, complemented
509#3123C2×C711yescharacteristic, complemented
510#3122C2×C711yescharacteristic, complemented
511#3114C2×C711yescharacteristic, complemented
512#3042C2×C711yescharacteristic, complemented
513#3041C2×C711yescharacteristic, complemented
514#3036C2×C711yescharacteristic, complemented
515#2995C2×C711yescharacteristic, complemented
516C24×C7—21no—
517C24×C7—21no—
518C24×C7—21no—
519C24×C7—21no—
520C7×#41—41no—
521C7×#41—41no—
522C7×#41—41no—
523C7×#41—41no—
524C7×#41—41no—
525C7×#41—41no—
526C7×#41—41no—
527C7×#41—41no—
528C7×#41—82no—
529C7×#41—82no—
530C2×C7×Q8—21no—
531C2×C7×Q8—21no—
532C2×C7×Q8—41no—
533C2×C7×Q8—41no—
534C2×C7×Q8C2×D411yescharacteristic
535C2×C7×Q8C2411yescharacteristic
536C2×C7×Q8C2411yescharacteristic
537C2×C7×Q8C2411yescharacteristic
538C2×C7×D4—22no—
539C2×C7×D4—22no—
540C2×C7×D4—22no—
541C2×C7×D4—21no—
542C2×C7×D4—21no—
543C2×C7×D4—21no—
544C2×C7×D4—21no—
545C2×C7×D4—21no—
546C2×C7×D4—21no—
547C2×C7×D4—21no—
548C2×C7×D4—21no—
549C2×C7×D4—21no—
550C2×C7×D4—21no—
551C2×C7×D4—21no—
552C2×C7×D4—21no—
553C2×C7×D4—21no—
554C2×C7×D4—21no—
555C2×C7×D4—21no—
556C2×C7×D4—21no—
557C2×C7×D4—21no—
558C2×C7×D4—21no—
559C2×C7×D4—21no—
560C2×C7×D4—21no—
561C2×C7×D4—21no—
562C2×C7×D4—21no—
563C2×C7×D4—21no—
564C2×C7×D4—21no—
565C2×C7×D4—21no—
566C2×C7×D4—21no—
567C2×C7×D4—21no—
568C2×C7×D4—41no—
569C2×C7×D4—41no—
570C2×C7×D4—41no—
571C2×C7×D4—41no—
572C2×C7×D4—41no—
573C2×C7×D4—82no—
574C2×C7×D4—82no—
575C2×C7×D4—82no—
576C2×C7×D4C2×D411yescharacteristic
577C2×C7×D4C2×D411yescharacteristic
578C2×C7×D4C2×D411yescharacteristic
579C2×C7×D4C2411yescharacteristic
580C2×C7×D4C2411yescharacteristic
581C2×C7×D4C2411yescharacteristic
582C2×C7×D4C2411yescharacteristic
583C2×C7×D4C2411yescharacteristic
584C2×C7×D4C2411yescharacteristic
585C2×C7×D4C2411yescharacteristic
586C22×C4×C7—21no—
587C22×C4×C7—21no—
588C22×C4×C7—21no—
589C22×C4×C7—21no—
590C22×C4×C7—21no—
591C22×C4×C7—21no—
592C22×C4×C7—21no—
593C22×C4×C7—21no—
594C22×C4×C7—21no—
595C22×C4×C7—21no—
596C22×C4×C7—21no—
597C22×C4×C7—21no—
598C22×C4×C7—21no—
599C22×C4×C7—21no—
600C22×C4×C7—21no—
601C22×C4×C7—21no—
602C22×C4×C7—21no—
603C22×C4×C7—21no—
604C22×C4×C7—21no—
605C22×C4×C7—82no—
606C22×C4×C7C2×D411yescharacteristic
607C22×C4×C7C2×D411yescharacteristic
608C22×C4×C7C2411yescharacteristic
609C22×C4×C7C2411yescharacteristic
610C22×C4×C7C2411yescharacteristic
611C7×SD16—22no—
612C7×SD16—22no—
613C7×SD16—22no—
614C7×SD16—41no—
615C7×SD16—41no—
616C7×SD16—41no—
617C7×SD16—41no—
618C7×SD16—41no—
619C7×SD16—41no—
620C7×SD16—41no—
621C7×SD16—41no—
622C7×SD16—41no—
623C7×D8—22no—
624C7×D8—22no—
625C7×D8—22no—
626C7×D8—41no—
627C7×D8—41no—
628C7×D8—41no—
629C7×D8—41no—
630C7×D8—41no—
631C7×D8—41no—
632C7×D8—41no—
633C7×D8—41no—
634C7×D8—41no—
635C7×M16—41no—
636C7×M16—41no—
637C7×M16—41no—
638C7×M16—41no—
639C2×C7×C8—41no—
640C2×C7×C8—41no—
641C2×C7×C8C2411yescharacteristic
642C2×C7×C8C2411yescharacteristic
643C2×C7×C8C2411yescharacteristic
644C2×C7×C8C2411yescharacteristic
645C2×C7×C8C2411yescharacteristic
646C2×C7×C8C2411yescharacteristic
647C2×C7×C8C2411yescharacteristic
648C2×C7×C8C2411yescharacteristic
649C7×C4⋊C4—21no—
650C7×C4⋊C4—21no—
651C7×C4⋊C4—21no—
652C7×C4⋊C4—21no—
653C7×C4⋊C4—21no—
654C7×C4⋊C4—21no—
655C7×C4⋊C4—21no—
656C7×C4⋊C4—21no—
657C7×C4⋊C4—21no—
658C7×C4⋊C4—21no—
659C7×C4⋊C4—21no—
660C7×C4⋊C4—21no—
661C7×C4⋊C4—21no—
662C7×C4⋊C4—21no—
663C7×C4⋊C4—21no—
664C7×C4⋊C4—21no—
665C7×C4⋊C4—21no—
666C7×C4⋊C4—21no—
667C7×C4⋊C4C2×D411yescharacteristic
668C7×C4⋊C4C2×D411yescharacteristic
669C7×C4⋊C4C2×D411yescharacteristic
670C7×C4⋊C4C2×D411yescharacteristic
671C7×C4⋊C4C2×D411yescharacteristic
672C7×C4⋊C4C2×D411yescharacteristic
673C7×C4⋊C4C2×D411yescharacteristic
674C7×C4⋊C4C2×D411yescharacteristic
675C7×C4⋊C4C2×D411yescharacteristic
676C7×C4⋊C4C2×D411yescharacteristic
677C7×C4⋊C4C2411yescharacteristic
678C7×C4⋊C4C2411yescharacteristic
679C7×C4⋊C4C2411yescharacteristic
680C7×C4⋊C4C2411yescharacteristic
681C7×C4⋊C4C2411yescharacteristic
682C7×C4⋊C4C2411yescharacteristic
683C7×C22⋊C4—21no—
684C7×C22⋊C4—21no—
685C7×C22⋊C4—21no—
686C7×C22⋊C4—21no—
687C7×C22⋊C4—21no—
688C7×C22⋊C4—21no—
689C7×C22⋊C4—21no—
690C7×C22⋊C4—21no—
691C7×C22⋊C4—21no—
692C7×C22⋊C4—21no—
693C7×C22⋊C4—21no—
694C7×C22⋊C4—21no—
695C7×C22⋊C4—21no—
696C7×C22⋊C4—21no—
697C7×C22⋊C4—21no—
698C7×C22⋊C4—21no—
699C7×C22⋊C4—21no—
700C7×C22⋊C4—21no—
701C7×C22⋊C4—21no—
702C7×C22⋊C4—21no—
703C7×C22⋊C4—21no—
704C7×C22⋊C4—21no—
705C7×C22⋊C4—21no—
706C7×C22⋊C4—21no—
707C7×C22⋊C4—21no—
708C7×C22⋊C4—21no—
709C7×C22⋊C4—21no—
710C7×C22⋊C4—21no—
711C7×C22⋊C4—21no—
712C7×C22⋊C4—21no—
713C7×C22⋊C4—21no—
714C7×C22⋊C4—21no—
715C7×C22⋊C4—21no—
716C7×C22⋊C4—21no—
717C7×C22⋊C4—21no—
718C7×C22⋊C4—21no—
719C7×C22⋊C4—21no—
720C7×C22⋊C4C2×D411yescharacteristic
721C7×C22⋊C4C2×D411yescharacteristic
722C7×C22⋊C4C2×D411yescharacteristic
723C7×C22⋊C4C2×D411yescharacteristic
724C7×C22⋊C4C2×D411yescharacteristic
725C7×C22⋊C4C2×D411yescharacteristic
726C7×C22⋊C4C2×D411yescharacteristic
727C7×C22⋊C4C2×D411yescharacteristic
728C7×C22⋊C4C2×D411yescharacteristic
729C7×C22⋊C4C2×D411yescharacteristic
730C42×C7—21no—
731C42×C7—21no—
732C42×C7—21no—
733C42×C7—21no—
734C42×C7—21no—
735C42×C7C2×D411yescharacteristic
736C42×C7C2×D411yescharacteristic
737C42×C7C2411yescharacteristic
738C42×C7C2411yescharacteristic
739C42×C7C2411yescharacteristic
740C42×C7C2411yescharacteristic
741C2×AGL(1,ℤ/8)C22×C711yescharacteristic
742C2×AGL(1,ℤ/8)C22×C711yescharacteristic
743C2×AGL(1,ℤ/8)C22×C711yescharacteristic
744C2×AGL(1,ℤ/8)C22×C711yescharacteristic, complemented
745C22×SD16C22×C711yescharacteristic, complemented
746C22×D8C22×C711yescharacteristic
747#562—21no—
748#560—21no—
749#559C22×C711yescharacteristic, complemented
750#556C22×C711yescharacteristic, complemented
751#555C22×C711yescharacteristic
752#554C22×C711yescharacteristic, complemented
753#553—21no—
754#553—21no—
755#553C22×C711yescharacteristic
756#553C22×C711yescharacteristic, complemented
757#551—21no—
758#550C22×C711yescharacteristic, complemented
759#550C22×C711yescharacteristic, complemented
760#548C22×C711yescharacteristic, complemented
761#548C22×C711yescharacteristic, complemented
762#547C22×C711yescharacteristic, complemented
763#546—21no—
764#546—21no—
765#546—21no—
766#546C22×C711yescharacteristic, complemented
767#546C22×C711yescharacteristic, complemented
768D42C22×C711yescharacteristic
769D42C22×C711yescharacteristic
770D42C22×C711yescharacteristic, complemented
771#541C22×C711yescharacteristic, complemented
772#540—21no—
773#540C22×C711yescharacteristic
774#540C22×C711yescharacteristic, complemented
775#540C22×C711yescharacteristic, complemented
776#539—21no—
777#538—21no—
778#538—21no—
779#538—21no—
780#538—21no—
781#536C22×C711yescharacteristic, complemented
782#535C22×C711yescharacteristic, complemented
783#532C22×C711yescharacteristic, complemented
784#532C22×C711yescharacteristic, complemented
785#529C22×C711yescharacteristic
786#529C22×C711yescharacteristic, complemented
787#525—21no—
788C2×#121—21no—
789#518C22×C711yescharacteristic
790#518C22×C711yescharacteristic, complemented
791C2×C4×D4C22×C711yescharacteristic, complemented
792#496C22×C711yescharacteristic, complemented
793#496C22×C711yescharacteristic, complemented
794#496C22×C711yescharacteristic, complemented
795#496C22×C711yescharacteristic, complemented
796#493C22×C711yescharacteristic, complemented
797#492C22×C711yescharacteristic, complemented
798#491C22×C711yescharacteristic, complemented
799#490C22×C711yescharacteristic, complemented
800#489C22×C711yescharacteristic, complemented
801#489C22×C711yescharacteristic, complemented
802#488C22×C711yescharacteristic, complemented
803#488C22×C711yescharacteristic, complemented
804#485C22×C711yescharacteristic, complemented
805#485C22×C711yescharacteristic, complemented
806#483C22×C711yescharacteristic, complemented
807#482C22×C711yescharacteristic, complemented
808#482C22×C711yescharacteristic, complemented
809#480C22×C711yescharacteristic, complemented
810#479C22×C711yescharacteristic, complemented
811#479C22×C711yescharacteristic, complemented
812#478C22×C711yescharacteristic, complemented
813#478C22×C711yescharacteristic, complemented
814#478C22×C711yescharacteristic, complemented
815#478C22×C711yescharacteristic, complemented
816#478C22×C711yescharacteristic, complemented
817#478C22×C711yescharacteristic, complemented
818#475C22×C711yescharacteristic, complemented
819#474C22×C711yescharacteristic, complemented
820#469C22×C711yescharacteristic, complemented
821#469C22×C711yescharacteristic, complemented
822#469C22×C711yescharacteristic, complemented
823#469C22×C711yescharacteristic, complemented
824#468C22×C711yescharacteristic, complemented
825#468C22×C711yescharacteristic, complemented
826#468C22×C711yescharacteristic, complemented
827#468C22×C711yescharacteristic, complemented
828#466C22×C711yescharacteristic, complemented
829#466C22×C711yescharacteristic, complemented
830#465C22×C711yescharacteristic, complemented
831#465C22×C711yescharacteristic, complemented
832#463C22×C711yescharacteristic
833#463C22×C711yescharacteristic
834#463C22×C711yescharacteristic
835#463C22×C711yescharacteristic
836#463C22×C711yescharacteristic, complemented
837#463C22×C711yescharacteristic, complemented
838#463C22×C711yescharacteristic, complemented
839#463C22×C711yescharacteristic, complemented
840#463C22×C711yescharacteristic, complemented
841#463C22×C711yescharacteristic, complemented
842#463C22×C711yescharacteristic, complemented
843#463C22×C711yescharacteristic, complemented
844#461C22×C711yescharacteristic, complemented
845#461C22×C711yescharacteristic, complemented
846#461C22×C711yescharacteristic, complemented
847#461C22×C711yescharacteristic, complemented
848#461C22×C711yescharacteristic, complemented
849#461C22×C711yescharacteristic, complemented
850#460C22×C711yescharacteristic, complemented
851#460C22×C711yescharacteristic, complemented
852#460C22×C711yescharacteristic, complemented
853#459C22×C711yescharacteristic
854#459C22×C711yescharacteristic
855#459C22×C711yescharacteristic, complemented
856#459C22×C711yescharacteristic, complemented
857#459C22×C711yescharacteristic, complemented
858#459C22×C711yescharacteristic, complemented
859#459C22×C711yescharacteristic, complemented
860#459C22×C711yescharacteristic, complemented
861#459C22×C711yescharacteristic, complemented
862#450C22×C711yescharacteristic
863#450C22×C711yescharacteristic
864#450C22×C711yescharacteristic, complemented
865#449C22×C711yescharacteristic, complemented
866#449C22×C711yescharacteristic, complemented
867#449C22×C711yescharacteristic, complemented
868#449C22×C711yescharacteristic, complemented
869#449C22×C711yescharacteristic, complemented
870#449C22×C711yescharacteristic, complemented
871#449C22×C711yescharacteristic, complemented
872#449C22×C711yescharacteristic, complemented
873#448C22×C711yescharacteristic, complemented
874#448C22×C711yescharacteristic, complemented
875#447C22×C711yescharacteristic
876#447C22×C711yescharacteristic
877#447C22×C711yescharacteristic, complemented
878#447C22×C711yescharacteristic, complemented
879#447C22×C711yescharacteristic, complemented
880#446C22×C711yescharacteristic, complemented
881#446C22×C711yescharacteristic, complemented
882#442C22×C711yescharacteristic
883#442C22×C711yescharacteristic
884#442C22×C711yescharacteristic, complemented
885#442C22×C711yescharacteristic, complemented
886#440C22×C711yescharacteristic, complemented
887#440C22×C711yescharacteristic, complemented
888#440C22×C711yescharacteristic, complemented
889#440C22×C711yescharacteristic, complemented
890C4×SD16C22×C711yescharacteristic, complemented
891C4×SD16C22×C711yescharacteristic, complemented
892C4×D8C22×C711yescharacteristic, complemented
893C4×D8C22×C711yescharacteristic, complemented
894#436C22×C711yescharacteristic, complemented
895#436C22×C711yescharacteristic, complemented
896#435C22×C711yescharacteristic, complemented
897#435C22×C711yescharacteristic, complemented
898#435C22×C711yescharacteristic, complemented
899#435C22×C711yescharacteristic, complemented
900#433C22×C711yescharacteristic, complemented
901#433C22×C711yescharacteristic, complemented
902#432C22×C711yescharacteristic, complemented
903#424C22×C711yescharacteristic, complemented
904#424C22×C711yescharacteristic, complemented
905#423C22×C711yescharacteristic, complemented
906#419C22×C711yescharacteristic, complemented
907#418C22×C711yescharacteristic, complemented
908#417C22×C711yescharacteristic, complemented
909#417C22×C711yescharacteristic, complemented
910#416C22×C711yescharacteristic, complemented
911#416C22×C711yescharacteristic, complemented
912C23×C7—21no—
913C23×C7—21no—
914C23×C7—21no—
915C23×C7—21no—
916C23×C7—21no—
917C23×C7—21no—
918C23×C7—21no—
919C23×C7—42no—
920C23×C7—42no—
921C23×C7—42no—
922C23×C7—42no—
923C23×C7—81no—
924C23×C7—81no—
925C23×C7—81no—
926C23×C7—81no—
927C23×C7—81no—
928C23×C7—81no—
929C23×C7—81no—
930C23×C7—81no—
931C23×C7C22×D411yescharacteristic
932C23×C7C22×D411yescharacteristic
933C23×C7C22×D411yescharacteristic
934C7×Q8—21no—
935C7×Q8—21no—
936C7×Q8—21no—
937C7×Q8—21no—
938C7×Q8—21no—
939C7×Q8—21no—
940C7×Q8—41no—
941C7×Q8—81no—
942C7×Q8—81no—
943C7×D4—21no—
944C7×D4—21no—
945C7×D4—21no—
946C7×D4—21no—
947C7×D4—21no—
948C7×D4—21no—
949C7×D4—21no—
950C7×D4—21no—
951C7×D4—21no—
952C7×D4—21no—
953C7×D4—21no—
954C7×D4—21no—
955C7×D4—21no—
956C7×D4—41no—
957C7×D4—41no—
958C7×D4—41no—
959C7×D4—42no—
960C7×D4—42no—
961C7×D4—42no—
962C7×D4—42no—
963C7×D4—42no—
964C7×D4—42no—
965C7×D4—81no—
966C7×D4—81no—
967C7×D4—81no—
968C7×D4—81no—
969C7×D4—81no—
970C7×D4—81no—
971C7×D4—81no—
972C7×D4—81no—
973C7×D4—81no—
974C7×D4—81no—
975C7×D4—81no—
976C7×D4—81no—
977C7×D4—81no—
978C7×D4—81no—
979C7×D4—81no—
980C7×D4—81no—
981C7×D4—81no—
982C7×D4—81no—
983C7×D4—81no—
984C7×D4—81no—
985C7×D4—81no—
986C7×D4H(5,𝔽2)12yes—
987C2×C4×C7—21no—
988C2×C4×C7—21no—
989C2×C4×C7—21no—
990C2×C4×C7—21no—
991C2×C4×C7—21no—
992C2×C4×C7—21no—
993C2×C4×C7—21no—
994C2×C4×C7—21no—
995C2×C4×C7—21no—
996C2×C4×C7—21no—
997C2×C4×C7—21no—
998C2×C4×C7—21no—
999C2×C4×C7—21no—
1000C2×C4×C7—21no—
1001C2×C4×C7—21no—
1002C2×C4×C7—41no—
1003C2×C4×C7—41no—
1004C2×C4×C7—42no—
1005C2×C4×C7—42no—
1006C2×C4×C7—81no—
1007C2×C4×C7—81no—
1008C2×C4×C7—81no—
1009C2×C4×C7—81no—
1010C2×C4×C7—81no—
1011C2×C4×C7—81no—
1012C2×C4×C7—81no—
1013C2×C4×C7—81no—
1014C2×C4×C7—81no—
1015C2×C4×C7—81no—
1016C2×C4×C7—81no—
1017C2×C4×C7—81no—
1018C2×C4×C7—81no—
1019C2×C4×C7—81no—
1020C2×C4×C7—81no—
1021C2×C4×C7—81no—
1022C2×C4×C7—81no—
1023C2×C4×C7C22×D411yescharacteristic
1024C2×C4×C7C22×D411yescharacteristic
1025C2×C4×C7C22×D411yescharacteristic
1026C2×C4×C7C22×D411yescharacteristic
1027C2×C4×C7C22×D411yescharacteristic
1028C2×C4×C7C22×D411yescharacteristic
1029C2×C4×C7C22×D411yescharacteristic
1030C2×C4×C7C22×D411yescharacteristic
1031C2×C4×C7C22×D411yescharacteristic
1032C2×C4×C7C22×D411yescharacteristic
1033C2×C4×C7C22×D411yescharacteristic
1034C2×C4×C7C2511yescharacteristic
1035C7×C8—21no—
1036C7×C8—21no—
1037C7×C8—21no—
1038C7×C8—21no—
1039C7×C8—21no—
1040C7×C8—21no—
1041C7×C8—21no—
1042C7×C8—21no—
1043C2×#41—21no—
1044C2×#41—21no—
1045C2×#41C23×C711yescharacteristic
1046C2×#41C23×C711yescharacteristic
1047C2×#41C23×C711yescharacteristic
1048C2×#41C23×C711yescharacteristic
1049C22×Q8C23×C711yescharacteristic
1050C22×D4—21no—
1051C22×D4—21no—
1052C22×D4—21no—
1053C22×D4C23×C711yescharacteristic
1054C22×D4C23×C711yescharacteristic
1055C22×D4C23×C711yescharacteristic
1056C22×D4C23×C711yescharacteristic
1057C23×C4—21no—
1058AGL(1,ℤ/8)—42no—
1059AGL(1,ℤ/8)—42no—
1060AGL(1,ℤ/8)—42no—
1061AGL(1,ℤ/8)—42no—
1062C2×SD16—42no—
1063C2×SD16C23×C711yescharacteristic
1064C2×SD16C23×C711yescharacteristic
1065C2×SD16C23×C711yescharacteristic
1066C2×SD16C23×C711yescharacteristic
1067C2×SD16C23×C711yescharacteristic
1068C2×SD16C23×C711yescharacteristic
1069C2×SD16C23×C711yescharacteristic
1070C2×SD16C23×C711yescharacteristic
1071C2×SD16C23×C711yescharacteristic
1072C2×SD16C23×C711yescharacteristic
1073C2×SD16C23×C711yescharacteristic
1074C2×SD16C23×C711yescharacteristic
1075C2×D8—42no—
1076C2×D8C23×C711yescharacteristic
1077C2×D8C23×C711yescharacteristic
1078C2×D8C23×C711yescharacteristic
1079C2×D8C23×C711yescharacteristic
1080C2×D8C23×C711yescharacteristic
1081C2×D8C23×C711yescharacteristic
1082C2×D8C23×C711yescharacteristic
1083C2×D8C23×C711yescharacteristic
1084C2×D8C23×C711yescharacteristic
1085C2×D8C23×C711yescharacteristic
1086C2×D8C23×C711yescharacteristic
1087C2×D8C23×C711yescharacteristic
1088C2×M16C23×C711yescharacteristic
1089C2×M16C23×C711yescharacteristic
1090C2×M16C23×C711yescharacteristic
1091C2×M16C23×C711yescharacteristic
1092C22×C8C23×C711yescharacteristic
1093C22×C8C23×C711yescharacteristic
1094C4⋊Q8C23×C711yescharacteristic
1095C4⋊Q8C23×C711yescharacteristic
1096C4⋊Q8C23×C711yescharacteristic
1097#127—21no—
1098#127C23×C711yescharacteristic
1099#127C23×C711yescharacteristic
1100#127C23×C711yescharacteristic
1101#127C23×C711yescharacteristic
1102#127C23×C711yescharacteristic
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126C7×D411yescharacteristic
1111#126C7×D411yescharacteristic
1112#125—21no—
1113#125—21no—
1114#125C7×D411yescharacteristic
1115#125C23×C711yescharacteristic
1116#125C23×C711yescharacteristic
1117#125C23×C711yescharacteristic
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124C7×D411yescharacteristic
1125#124C23×C711yescharacteristic
1126#124C23×C711yescharacteristic
1127#124C23×C711yescharacteristic
1128#124C23×C711yescharacteristic
1129#124C23×C711yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123C7×D411yescharacteristic
1148#123C7×D411yescharacteristic
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8C7×D411yescharacteristic
1158C22⋊Q8C23×C711yescharacteristic
1159C22⋊Q8C23×C711yescharacteristic
1160C22⋊Q8C23×C711yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121C7×D411yescharacteristic
1189#121C23×C711yescharacteristic
1190#121C23×C711yescharacteristic
1191#121C23×C711yescharacteristic
1192#121C23×C711yescharacteristic
1193#121C23×C711yescharacteristic
1194#121C23×C711yescharacteristic
1195#121C23×C711yescharacteristic
1196#121C23×C711yescharacteristic
1197#121C23×C711yescharacteristic
1198#120—21no—
1199#120—21no—
1200#120—21no—
1201#120—21no—
1202#120—21no—
1203#120—21no—
1204#120—21no—
1205#120—21no—
1206#120—21no—
1207#120—21no—
1208C4×Q8C23×C711yescharacteristic
1209C4×Q8C23×C711yescharacteristic
1210C4×Q8C23×C711yescharacteristic
1211C4×Q8C23×C711yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4C23×C711yescharacteristic
1229C4×D4C23×C711yescharacteristic
1230C4×D4C23×C711yescharacteristic
1231C4×D4C23×C711yescharacteristic
1232C4×D4C23×C711yescharacteristic
1233C4×D4C23×C711yescharacteristic
1234C4×D4C23×C711yescharacteristic
1235C4×D4C23×C711yescharacteristic
1236C4×D4C23×C711yescharacteristic
1237C4×D4C23×C711yescharacteristic
1238C4×D4C23×C711yescharacteristic
1239C4×D4C23×C711yescharacteristic
1240C4×D4C23×C711yescharacteristic
1241C4×D4C23×C711yescharacteristic
1242C4×D4C23×C711yescharacteristic
1243C4×D4C23×C711yescharacteristic
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117C23×C711yescharacteristic
1248#117C23×C711yescharacteristic
1249#117C23×C711yescharacteristic
1250#117C23×C711yescharacteristic
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4C23×C711yescharacteristic
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—21no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4—21no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—21no—
1261C2×C42C23×C711yescharacteristic
1262#107C23×C711yescharacteristic
1263#107C23×C711yescharacteristic
1264#107C23×C711yescharacteristic
1265#107C23×C711yescharacteristic
1266#106C23×C711yescharacteristic
1267#106C23×C711yescharacteristic
1268#106C23×C711yescharacteristic
1269#106C23×C711yescharacteristic
1270C4⋊C8C23×C711yescharacteristic
1271C4⋊C8C23×C711yescharacteristic
1272C4⋊C8C23×C711yescharacteristic
1273C4⋊C8C23×C711yescharacteristic
1274C4⋊C8C23×C711yescharacteristic
1275C4⋊C8C23×C711yescharacteristic
1276C4⋊C8C23×C711yescharacteristic
1277C4⋊C8C23×C711yescharacteristic
1278C4⋊C8C23×C711yescharacteristic
1279C4⋊C8C23×C711yescharacteristic
1280#103C23×C711yescharacteristic
1281#103C23×C711yescharacteristic
1282#103C23×C711yescharacteristic
1283#103C23×C711yescharacteristic
1284#103C23×C711yescharacteristic
1285#103C23×C711yescharacteristic
1286#103C23×C711yescharacteristic
1287#103C23×C711yescharacteristic
1288#103C23×C711yescharacteristic
1289#103C23×C711yescharacteristic
1290#103C23×C711yescharacteristic
1291#103C23×C711yescharacteristic
1292#102C23×C711yescharacteristic
1293#102C23×C711yescharacteristic
1294#102C23×C711yescharacteristic
1295#102C23×C711yescharacteristic
1296#102C23×C711yescharacteristic
1297#102C23×C711yescharacteristic
1298#102C23×C711yescharacteristic
1299#102C23×C711yescharacteristic
1300#102C23×C711yescharacteristic
1301#102C23×C711yescharacteristic
1302#102C23×C711yescharacteristic
1303#102C23×C711yescharacteristic
1304#102C23×C711yescharacteristic
1305#102C23×C711yescharacteristic
1306#102C23×C711yescharacteristic
1307#102C23×C711yescharacteristic
1308#102C23×C711yescharacteristic
1309#102C23×C711yescharacteristic
1310#102C23×C711yescharacteristic
1311#102C23×C711yescharacteristic
1312C22⋊C8C23×C711yescharacteristic
1313C22⋊C8C23×C711yescharacteristic
1314C22⋊C8C23×C711yescharacteristic
1315C22⋊C8C23×C711yescharacteristic
1316C22⋊C8C23×C711yescharacteristic
1317C22⋊C8C23×C711yescharacteristic
1318#97C23×C711yescharacteristic
1319#97C23×C711yescharacteristic
1320#97C23×C711yescharacteristic
1321#97C23×C711yescharacteristic
1322C4×C8C23×C711yescharacteristic
1323C4×C8C23×C711yescharacteristic
1324C22×C7—21no—
1325C22×C7—21no—
1326C22×C7—21no—
1327C22×C7—21no—
1328C22×C7—21no—
1329C22×C7—21no—
1330C22×C7—21no—
1331C22×C7—21no—
1332C22×C7—21no—
1333C22×C7—22no—
1334C22×C7—41no—
1335C22×C7—41no—
1336C22×C7—41no—
1337C22×C7—41no—
1338C22×C7—41no—
1339C22×C7—41no—
1340C22×C7—41no—
1341C22×C7—41no—
1342C22×C7—41no—
1343C22×C7—41no—
1344C22×C7—41no—
1345C22×C7—41no—
1346C22×C7—41no—
1347C22×C7—41no—
1348C22×C7—41no—
1349C22×C7—41no—
1350C22×C7—41no—
1351C22×C7—41no—
1352C22×C7—41no—
1353C22×C7—41no—
1354C22×C7—84no—
1355C22×C7—162no—
1356C22×C7—162no—
1357C22×C7—162no—
1358C22×C7C23×D411yescharacteristic
1359C4×C7—21no—
1360C4×C7—21no—
1361C4×C7—21no—
1362C4×C7—21no—
1363C4×C7—21no—
1364C4×C7—21no—
1365C4×C7—21no—
1366C4×C7—21no—
1367C4×C7—21no—
1368C4×C7—21no—
1369C4×C7—21no—
1370C4×C7—41no—
1371C4×C7—41no—
1372C4×C7—41no—
1373C4×C7—41no—
1374C4×C7—41no—
1375C4×C7—41no—
1376C4×C7—41no—
1377C4×C7—41no—
1378C4×C7—41no—
1379C4×C7C2×H(5,𝔽2)11yescharacteristic
1380C4×C7#58511yescharacteristic
1381C24—21no—
1382C24—21no—
1383C24—21no—
1384C24—21no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—82no—
1394#41—82no—
1395C2×Q8—21no—
1396C2×Q8—21no—
1397C2×Q8—41no—
1398C2×Q8—41no—
1399C2×Q8C2×C7×D411yescharacteristic
1400C2×Q8C24×C711yescharacteristic
1401C2×Q8C24×C711yescharacteristic
1402C2×Q8C24×C711yescharacteristic
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—82no—
1439C2×D4—82no—
1440C2×D4—82no—
1441C2×D4C2×C7×D411yescharacteristic
1442C2×D4C2×C7×D411yescharacteristic
1443C2×D4C2×C7×D411yescharacteristic
1444C2×D4C24×C711yescharacteristic
1445C2×D4C24×C711yescharacteristic
1446C2×D4C24×C711yescharacteristic
1447C2×D4C24×C711yescharacteristic
1448C2×D4C24×C711yescharacteristic
1449C2×D4C24×C711yescharacteristic
1450C2×D4C24×C711yescharacteristic
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—82no—
1471C22×C4C2×C7×D411yescharacteristic
1472C22×C4C2×C7×D411yescharacteristic
1473C22×C4C24×C711yescharacteristic
1474C22×C4C24×C711yescharacteristic
1475C22×C4C24×C711yescharacteristic
1476SD16—22no—
1477SD16—22no—
1478SD16—22no—
1479SD16—41no—
1480SD16—41no—
1481SD16—41no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—41no—
1488D8—22no—
1489D8—22no—
1490D8—22no—
1491D8—41no—
1492D8—41no—
1493D8—41no—
1494D8—41no—
1495D8—41no—
1496D8—41no—
1497D8—41no—
1498D8—41no—
1499D8—41no—
1500M16—41no—
1501M16—41no—
1502M16—41no—
1503M16—41no—
1504C2×C8—41no—
1505C2×C8—41no—
1506C2×C8C24×C711yescharacteristic
1507C2×C8C24×C711yescharacteristic
1508C2×C8C24×C711yescharacteristic
1509C2×C8C24×C711yescharacteristic
1510C2×C8C24×C711yescharacteristic
1511C2×C8C24×C711yescharacteristic
1512C2×C8C24×C711yescharacteristic
1513C2×C8C24×C711yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4C2×C7×D411yescharacteristic
1533C4⋊C4C2×C7×D411yescharacteristic
1534C4⋊C4C2×C7×D411yescharacteristic
1535C4⋊C4C2×C7×D411yescharacteristic
1536C4⋊C4C2×C7×D411yescharacteristic
1537C4⋊C4C2×C7×D411yescharacteristic
1538C4⋊C4C2×C7×D411yescharacteristic
1539C4⋊C4C2×C7×D411yescharacteristic
1540C4⋊C4C2×C7×D411yescharacteristic
1541C4⋊C4C2×C7×D411yescharacteristic
1542C4⋊C4C24×C711yescharacteristic
1543C4⋊C4C24×C711yescharacteristic
1544C4⋊C4C24×C711yescharacteristic
1545C4⋊C4C24×C711yescharacteristic
1546C4⋊C4C24×C711yescharacteristic
1547C4⋊C4C24×C711yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4C2×C7×D411yescharacteristic
1586C22⋊C4C2×C7×D411yescharacteristic
1587C22⋊C4C2×C7×D411yescharacteristic
1588C22⋊C4C2×C7×D411yescharacteristic
1589C22⋊C4C2×C7×D411yescharacteristic
1590C22⋊C4C2×C7×D411yescharacteristic
1591C22⋊C4C2×C7×D411yescharacteristic
1592C22⋊C4C2×C7×D411yescharacteristic
1593C22⋊C4C2×C7×D411yescharacteristic
1594C22⋊C4C2×C7×D411yescharacteristic
1595C42—21no—
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—21no—
1600C42C2×C7×D411yescharacteristic
1601C42C2×C7×D411yescharacteristic
1602C42C24×C711yescharacteristic
1603C42C24×C711yescharacteristic
1604C42C24×C711yescharacteristic
1605C42C24×C711yescharacteristic
1606C2×C7—41no—
1607C2×C7—41no—
1608C2×C7—41no—
1609C2×C7—42no—
1610C2×C7—81no—
1611C2×C7—81no—
1612C2×C7—81no—
1613C2×C7—81no—
1614C2×C7—81no—
1615C2×C7—81no—
1616C2×C7#348811yescharacteristic
1617C2×C7#358511yescharacteristic
1618C2×C7#358511yescharacteristic
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—81no—
1631C23—81no—
1632C23—81no—
1633C23—81no—
1634C23—81no—
1635C23—81no—
1636C23—81no—
1637C23—81no—
1638C23C22×C7×D411yescharacteristic
1639C23C22×C7×D411yescharacteristic
1640C23C22×C7×D411yescharacteristic
1641Q8—21no—
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—21no—
1647Q8—41no—
1648Q8—81no—
1649Q8—81no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—41no—
1664D4—41no—
1665D4—41no—
1666D4—42no—
1667D4—42no—
1668D4—42no—
1669D4—42no—
1670D4—42no—
1671D4—42no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—81no—
1681D4—81no—
1682D4—81no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4C7×H(5,𝔽2)12yes—
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—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—42no—
1712C2×C4—42no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—81no—
1723C2×C4—81no—
1724C2×C4—81no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—81no—
1728C2×C4—81no—
1729C2×C4—81no—
1730C2×C4C22×C7×D411yescharacteristic
1731C2×C4C22×C7×D411yescharacteristic
1732C2×C4C22×C7×D411yescharacteristic
1733C2×C4C22×C7×D411yescharacteristic
1734C2×C4C22×C7×D411yescharacteristic
1735C2×C4C22×C7×D411yescharacteristic
1736C2×C4C22×C7×D411yescharacteristic
1737C2×C4C22×C7×D411yescharacteristic
1738C2×C4C22×C7×D411yescharacteristic
1739C2×C4C22×C7×D411yescharacteristic
1740C2×C4C22×C7×D411yescharacteristic
1741C2×C4C25×C711yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—21no—
1749C8—21no—
1750C7#6207511yescharacteristic, direct product factor, Sylow
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—22no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—84no—
1782C22—162no—
1783C22—162no—
1784C22—162no—
1785C22C23×C7×D411yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4C2×C7×H(5,𝔽2)11yescharacteristic
1807C4C7×#58511yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—41no—
1811C2—42no—
1812C2—81no—
1813C2—81no—
1814C2—81no—
1815C2—81no—
1816C2—81no—
1817C2—81no—
1818C2C7×#348811yescharacteristic
1819C2C7×#358511yescharacteristic
1820C2C7×#358511yescharacteristic
subgroupG/H
center, socleC22×C7C23×D4
commutator, Frattini, cosocleC2×C4C25×C7
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C7 ◁ C7×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C7×#3562C2semidirect
2. C7×#3519C2semidirect
3. C7×#3399C2semidirect
4. C7×#3397C2semidirect
5. C7×#3376C2semidirect
6. C7×#3370C2semidirect
7. C7×#3326C2semidirect
8. C7×#3322C2semidirect
9. C7×#3321C2semidirect
10. C7×#3319C2semidirect
11. C7×#3309C2semidirect
12. C7×#3307C2semidirect
13. C7×#3274C2semidirect
14. C7×#3272C2semidirect
15. C7×#3265C2semidirect
16. C7×#3265C2semidirect
17. C7×#3264C2semidirect
18. C7×#3264C2semidirect
19. C7×#3260C2semidirect
20. C7×#3259C2semidirect
21. C7×#3251C2semidirect
22. C7×#3221C2semidirect
23. C7×#3220C2semidirect
24. C7×#3214C2semidirect
25. C7×#3123C2semidirect
26. C7×#3122C2semidirect
27. C7×#3114C2semidirect
28. C7×#3042C2semidirect
29. C7×#3041C2semidirect
30. C7×#3036C2semidirect
31. C7×#2995C2semidirect
35. C2×C7×AGL(1,ℤ/8)C22semidirect
36. C22×C7×SD16C22semidirect
40. C7×#559C22semidirect
41. C7×#556C22semidirect
43. C7×#554C22semidirect
47. C7×#553C22semidirect
49. C7×#550C22semidirect
50. C7×#550C22semidirect
51. C7×#548C22semidirect
52. C7×#548C22semidirect
53. C7×#547C22semidirect
57. C7×#546C22semidirect
58. C7×#546C22semidirect
61. C7×D42C22semidirect
62. C7×#541C22semidirect
65. C7×#540C22semidirect
66. C7×#540C22semidirect
72. C7×#536C22semidirect
73. C7×#535C22semidirect
74. C7×#532C22semidirect
75. C7×#532C22semidirect
77. C7×#529C22semidirect
81. C7×#518C22semidirect
82. C2×C4×C7×D4C22semidirect
83. C7×#496C22semidirect
84. C7×#496C22semidirect
85. C7×#496C22semidirect
86. C7×#496C22semidirect
87. C7×#493C22semidirect
88. C7×#492C22semidirect
89. C7×#491C22semidirect
90. C7×#490C22semidirect
91. C7×#489C22semidirect
92. C7×#489C22semidirect
93. C7×#488C22semidirect
94. C7×#488C22semidirect
95. C7×#485C22semidirect
96. C7×#485C22semidirect
97. C7×#483C22semidirect
98. C7×#482C22semidirect
99. C7×#482C22semidirect
100. C7×#480C22semidirect
101. C7×#479C22semidirect
102. C7×#479C22semidirect
103. C7×#478C22semidirect
104. C7×#478C22semidirect
105. C7×#478C22semidirect
106. C7×#478C22semidirect
107. C7×#478C22semidirect
108. C7×#478C22semidirect
109. C7×#475C22semidirect
110. C7×#474C22semidirect
111. C7×#469C22semidirect
112. C7×#469C22semidirect
113. C7×#469C22semidirect
114. C7×#469C22semidirect
115. C7×#468C22semidirect
116. C7×#468C22semidirect
117. C7×#468C22semidirect
118. C7×#468C22semidirect
119. C7×#466C22semidirect
120. C7×#466C22semidirect
121. C7×#465C22semidirect
122. C7×#465C22semidirect
127. C7×#463C22semidirect
128. C7×#463C22semidirect
129. C7×#463C22semidirect
130. C7×#463C22semidirect
131. C7×#463C22semidirect
132. C7×#463C22semidirect
133. C7×#463C22semidirect
134. C7×#463C22semidirect
135. C7×#461C22semidirect
136. C7×#461C22semidirect
137. C7×#461C22semidirect
138. C7×#461C22semidirect
139. C7×#461C22semidirect
140. C7×#461C22semidirect
141. C7×#460C22semidirect
142. C7×#460C22semidirect
143. C7×#460C22semidirect
146. C7×#459C22semidirect
147. C7×#459C22semidirect
148. C7×#459C22semidirect
149. C7×#459C22semidirect
150. C7×#459C22semidirect
151. C7×#459C22semidirect
152. C7×#459C22semidirect
155. C7×#450C22semidirect
156. C7×#449C22semidirect
157. C7×#449C22semidirect
158. C7×#449C22semidirect
159. C7×#449C22semidirect
160. C7×#449C22semidirect
161. C7×#449C22semidirect
162. C7×#449C22semidirect
163. C7×#449C22semidirect
164. C7×#448C22semidirect
165. C7×#448C22semidirect
168. C7×#447C22semidirect
169. C7×#447C22semidirect
170. C7×#447C22semidirect
171. C7×#446C22semidirect
172. C7×#446C22semidirect
175. C7×#442C22semidirect
176. C7×#442C22semidirect
177. C7×#440C22semidirect
178. C7×#440C22semidirect
179. C7×#440C22semidirect
180. C7×#440C22semidirect
181. C4×C7×SD16C22semidirect
182. C4×C7×SD16C22semidirect
183. C4×C7×D8C22semidirect
184. C4×C7×D8C22semidirect
185. C7×#436C22semidirect
186. C7×#436C22semidirect
187. C7×#435C22semidirect
188. C7×#435C22semidirect
189. C7×#435C22semidirect
190. C7×#435C22semidirect
191. C7×#433C22semidirect
192. C7×#433C22semidirect
193. C7×#432C22semidirect
194. C7×#424C22semidirect
195. C7×#424C22semidirect
196. C7×#423C22semidirect
197. C7×#419C22semidirect
198. C7×#418C22semidirect
199. C7×#417C22semidirect
200. C7×#417C22semidirect
201. C7×#416C22semidirect
202. C7×#416C22semidirect
203. #62075C7direct (N × H)
485. #3562C2×C7semidirect
486. #3519C2×C7semidirect
487. #3399C2×C7semidirect
488. #3397C2×C7semidirect
489. #3376C2×C7semidirect
490. #3370C2×C7semidirect
491. #3326C2×C7semidirect
492. #3322C2×C7semidirect
493. #3321C2×C7semidirect
494. #3319C2×C7semidirect
495. #3309C2×C7semidirect
496. #3307C2×C7semidirect
497. #3274C2×C7semidirect
498. #3272C2×C7semidirect
499. #3265C2×C7semidirect
500. #3265C2×C7semidirect
501. #3264C2×C7semidirect
502. #3264C2×C7semidirect
503. #3260C2×C7semidirect
504. #3259C2×C7semidirect
505. #3251C2×C7semidirect
506. #3221C2×C7semidirect
507. #3220C2×C7semidirect
508. #3214C2×C7semidirect
509. #3123C2×C7semidirect
510. #3122C2×C7semidirect
511. #3114C2×C7semidirect
512. #3042C2×C7semidirect
513. #3041C2×C7semidirect
514. #3036C2×C7semidirect
515. #2995C2×C7semidirect
744. C2×AGL(1,ℤ/8)C22×C7semidirect
745. C22×SD16C22×C7semidirect
749. #559C22×C7semidirect
750. #556C22×C7semidirect
752. #554C22×C7semidirect
756. #553C22×C7semidirect
758. #550C22×C7semidirect
759. #550C22×C7semidirect
760. #548C22×C7semidirect
761. #548C22×C7semidirect
762. #547C22×C7semidirect
766. #546C22×C7semidirect
767. #546C22×C7semidirect
770. D42C22×C7semidirect
771. #541C22×C7semidirect
774. #540C22×C7semidirect
775. #540C22×C7semidirect
781. #536C22×C7semidirect
782. #535C22×C7semidirect
783. #532C22×C7semidirect
784. #532C22×C7semidirect
786. #529C22×C7semidirect
790. #518C22×C7semidirect
791. C2×C4×D4C22×C7semidirect
792. #496C22×C7semidirect
793. #496C22×C7semidirect
794. #496C22×C7semidirect
795. #496C22×C7semidirect
796. #493C22×C7semidirect
797. #492C22×C7semidirect
798. #491C22×C7semidirect
799. #490C22×C7semidirect
800. #489C22×C7semidirect
801. #489C22×C7semidirect
802. #488C22×C7semidirect
803. #488C22×C7semidirect
804. #485C22×C7semidirect
805. #485C22×C7semidirect
806. #483C22×C7semidirect
807. #482C22×C7semidirect
808. #482C22×C7semidirect
809. #480C22×C7semidirect
810. #479C22×C7semidirect
811. #479C22×C7semidirect
812. #478C22×C7semidirect
813. #478C22×C7semidirect
814. #478C22×C7semidirect
815. #478C22×C7semidirect
816. #478C22×C7semidirect
817. #478C22×C7semidirect
818. #475C22×C7semidirect
819. #474C22×C7semidirect
820. #469C22×C7semidirect
821. #469C22×C7semidirect
822. #469C22×C7semidirect
823. #469C22×C7semidirect
824. #468C22×C7semidirect
825. #468C22×C7semidirect
826. #468C22×C7semidirect
827. #468C22×C7semidirect
828. #466C22×C7semidirect
829. #466C22×C7semidirect
830. #465C22×C7semidirect
831. #465C22×C7semidirect
836. #463C22×C7semidirect
837. #463C22×C7semidirect
838. #463C22×C7semidirect
839. #463C22×C7semidirect
840. #463C22×C7semidirect
841. #463C22×C7semidirect
842. #463C22×C7semidirect
843. #463C22×C7semidirect
844. #461C22×C7semidirect
845. #461C22×C7semidirect
846. #461C22×C7semidirect
847. #461C22×C7semidirect
848. #461C22×C7semidirect
849. #461C22×C7semidirect
850. #460C22×C7semidirect
851. #460C22×C7semidirect
852. #460C22×C7semidirect
855. #459C22×C7semidirect
856. #459C22×C7semidirect
857. #459C22×C7semidirect
858. #459C22×C7semidirect
859. #459C22×C7semidirect
860. #459C22×C7semidirect
861. #459C22×C7semidirect
864. #450C22×C7semidirect
865. #449C22×C7semidirect
866. #449C22×C7semidirect
867. #449C22×C7semidirect
868. #449C22×C7semidirect
869. #449C22×C7semidirect
870. #449C22×C7semidirect
871. #449C22×C7semidirect
872. #449C22×C7semidirect
873. #448C22×C7semidirect
874. #448C22×C7semidirect
877. #447C22×C7semidirect
878. #447C22×C7semidirect
879. #447C22×C7semidirect
880. #446C22×C7semidirect
881. #446C22×C7semidirect
884. #442C22×C7semidirect
885. #442C22×C7semidirect
886. #440C22×C7semidirect
887. #440C22×C7semidirect
888. #440C22×C7semidirect
889. #440C22×C7semidirect
890. C4×SD16C22×C7semidirect
891. C4×SD16C22×C7semidirect
892. C4×D8C22×C7semidirect
893. C4×D8C22×C7semidirect
894. #436C22×C7semidirect
895. #436C22×C7semidirect
896. #435C22×C7semidirect
897. #435C22×C7semidirect
898. #435C22×C7semidirect
899. #435C22×C7semidirect
900. #433C22×C7semidirect
901. #433C22×C7semidirect
902. #432C22×C7semidirect
903. #424C22×C7semidirect
904. #424C22×C7semidirect
905. #423C22×C7semidirect
906. #419C22×C7semidirect
907. #418C22×C7semidirect
908. #417C22×C7semidirect
909. #417C22×C7semidirect
910. #416C22×C7semidirect
911. #416C22×C7semidirect
1750. C7#62075direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#35622
C7×#35192
C7×#33992
C7×#33972
C7×#33762
C7×#33702
C7×#33262
C7×#33222
C7×#33212
C7×#33192
C7×#33092
C7×#33072
C7×#32742
C7×#32722
C7×#32652
C7×#32642
C7×#32602
C7×#32592
C7×#32512
C7×#32212
C7×#32202
C7×#32142
C7×#31232
C7×#31222
C7×#31142
C7×#30422
C7×#30412
C7×#30362
C7×#29952
#620757