Finite Group Databasebeta

← C73×#59848 #32969252

Subgroups — C73×#59848 #32969252

Order 18688.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2803C211yesmaximal, characteristic, complemented
2C73×#2800C211yesmaximal, characteristic, complemented
3C73×#2780C211yesmaximal, characteristic, complemented
4C73×#2701C211yesmaximal, characteristic, complemented
5C73×#2602C211yesmaximal, characteristic, complemented
6C73×#2601C211yesmaximal, characteristic, complemented
7C73×#2595C211yesmaximal, characteristic, complemented
8C73×#2593C211yesmaximal, characteristic, complemented
9C73×#2559C211yesmaximal, characteristic, complemented
10C73×#2558C211yesmaximal, characteristic, complemented
11C73×#2554C211yesmaximal, characteristic, complemented
12C73×#2554C211yesmaximal, characteristic, complemented
13C73×#2516C211yesmaximal, characteristic, complemented
14C73×#2490C211yesmaximal, characteristic, complemented
15C73×#2481C211yesmaximal, characteristic, complemented
16C73×#2480C211yesmaximal, characteristic, complemented
17C73×#2473C211yesmaximal, characteristic, complemented
18C73×#2418C211yesmaximal, characteristic, complemented
19C73×#2411C211yesmaximal, characteristic, complemented
20C73×#2411C211yesmaximal, characteristic, complemented
21C73×#2410C211yesmaximal, characteristic
22C73×#2405C211yesmaximal, characteristic, complemented
23C73×#2374C211yesmaximal, characteristic, complemented
24C73×#2363C211yesmaximal, characteristic, complemented
25C73×#2358C211yesmaximal, characteristic, complemented
26C73×#2342C211yesmaximal, characteristic, complemented
27C73×#2342C211yesmaximal, characteristic, complemented
28C73×#2342C211yesmaximal, characteristic, complemented
29C4×#123×C73C211yesmaximal, characteristic, complemented
30C73×#2296C211yesmaximal, characteristic, complemented
31C2×#390×C73C211yesmaximal, characteristic, complemented
32C23×D4×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic, complemented
34C2×#126×C73C2211yescharacteristic, complemented
35C2×#125×C73C2211yescharacteristic, complemented
36C2×#123×C73C2211yescharacteristic
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic, complemented
40C2×#121×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#120×C73C2211yescharacteristic
43C2×#120×C73C2211yescharacteristic
44C2×C4×D4×C73C2211yescharacteristic
45C2×C4×D4×C73C2211yescharacteristic, complemented
46C2×#117×C73C2211yescharacteristic
47C2×#117×C73C2211yescharacteristic
48C2×#117×C73C2211yescharacteristic, complemented
49C22×C4⋊C4×C73C2211yescharacteristic
50C22×C22⋊C4×C73C2211yescharacteristic
51C22×C22⋊C4×C73C2211yescharacteristic
52C22×C22⋊C4×C73C2211yescharacteristic
53C22×C22⋊C4×C73C2211yescharacteristic
54C22×C22⋊C4×C73C2211yescharacteristic
55C22×C22⋊C4×C73C2211yescharacteristic
56C22×C42×C73C2211yescharacteristic
57#400×C73C2211yescharacteristic, complemented
58#400×C73C2211yescharacteristic, complemented
59#400×C73C2211yescharacteristic, complemented
60#399×C73C2211yescharacteristic, complemented
61#398×C73C2211yescharacteristic, complemented
62#398×C73C2211yescharacteristic, complemented
63#398×C73C2211yescharacteristic, complemented
64#397×C73C2211yescharacteristic, complemented
65#397×C73C2211yescharacteristic, complemented
66#397×C73C2211yescharacteristic, complemented
67#397×C73C2211yescharacteristic, complemented
68#397×C73C2211yescharacteristic, complemented
69#396×C73C2211yescharacteristic, complemented
70#396×C73C2211yescharacteristic, complemented
71#396×C73C2211yescharacteristic, complemented
72#396×C73C2211yescharacteristic, complemented
73#396×C73C2211yescharacteristic, complemented
74#396×C73C2211yescharacteristic, complemented
75#394×C73C2211yescharacteristic
76#394×C73C2211yescharacteristic
77#394×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
79#394×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#394×C73C2211yescharacteristic, complemented
82#394×C73C2211yescharacteristic, complemented
83#394×C73C2211yescharacteristic, complemented
84#394×C73C2211yescharacteristic, complemented
85#394×C73C2211yescharacteristic, complemented
86#394×C73C2211yescharacteristic, complemented
87#392×C73C2211yescharacteristic
88#392×C73C2211yescharacteristic
89#390×C73C2211yescharacteristic
90#390×C73C2211yescharacteristic
91#390×C73C2211yescharacteristic
92#390×C73C2211yescharacteristic
93#390×C73C2211yescharacteristic
94#390×C73C2211yescharacteristic
95#390×C73C2211yescharacteristic
96#390×C73C2211yescharacteristic
97#390×C73C2211yescharacteristic, complemented
98#390×C73C2211yescharacteristic, complemented
99#390×C73C2211yescharacteristic, complemented
100#390×C73C2211yescharacteristic, complemented
101#390×C73C2211yescharacteristic, complemented
102#389×C73C2211yescharacteristic, complemented
103#389×C73C2211yescharacteristic, complemented
104#389×C73C2211yescharacteristic, complemented
105#389×C73C2211yescharacteristic, complemented
106#389×C73C2211yescharacteristic, complemented
107#388×C73C2211yescharacteristic, complemented
108#388×C73C2211yescharacteristic, complemented
109#388×C73C2211yescharacteristic, complemented
110#388×C73C2211yescharacteristic, complemented
111#388×C73C2211yescharacteristic, complemented
112#388×C73C2211yescharacteristic, complemented
113#388×C73C2211yescharacteristic, complemented
114#388×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic, complemented
116#388×C73C2211yescharacteristic, complemented
117#388×C73C2211yescharacteristic, complemented
118#388×C73C2211yescharacteristic, complemented
119#388×C73C2211yescharacteristic, complemented
120#388×C73C2211yescharacteristic, complemented
121#388×C73C2211yescharacteristic, complemented
122#388×C73C2211yescharacteristic, complemented
123#388×C73C2211yescharacteristic, complemented
124#388×C73C2211yescharacteristic, complemented
125#388×C73C2211yescharacteristic, complemented
126#388×C73C2211yescharacteristic, complemented
127#388×C73C2211yescharacteristic, complemented
128#388×C73C2211yescharacteristic, complemented
129#388×C73C2211yescharacteristic, complemented
130#388×C73C2211yescharacteristic, complemented
131#388×C73C2211yescharacteristic, complemented
132#388×C73C2211yescharacteristic, complemented
133#387×C73C2211yescharacteristic, complemented
134#387×C73C2211yescharacteristic, complemented
135#387×C73C2211yescharacteristic, complemented
136#387×C73C2211yescharacteristic, complemented
137#387×C73C2211yescharacteristic, complemented
138#387×C73C2211yescharacteristic, complemented
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#386×C73C2211yescharacteristic
142#386×C73C2211yescharacteristic
143#386×C73C2211yescharacteristic
144#386×C73C2211yescharacteristic
145#386×C73C2211yescharacteristic
146#386×C73C2211yescharacteristic, complemented
147#386×C73C2211yescharacteristic, complemented
148#386×C73C2211yescharacteristic, complemented
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic
152#385×C73C2211yescharacteristic
153#385×C73C2211yescharacteristic
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic, complemented
157#385×C73C2211yescharacteristic, complemented
158#385×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#381×C73C2211yescharacteristic
162#381×C73C2211yescharacteristic, complemented
163#380×C73C2211yescharacteristic
164#380×C73C2211yescharacteristic
165#380×C73C2211yescharacteristic, complemented
166#379×C73C2211yescharacteristic
167#379×C73C2211yescharacteristic
168#379×C73C2211yescharacteristic
169#379×C73C2211yescharacteristic
170C4×C4⋊C4×C73C2211yescharacteristic, complemented
171C4×C4⋊C4×C73C2211yescharacteristic, complemented
172C4×C4⋊C4×C73C2211yescharacteristic, complemented
173C4×C4⋊C4×C73C2211yescharacteristic, complemented
174C4×C4⋊C4×C73C2211yescharacteristic, complemented
175C4×C4⋊C4×C73C2211yescharacteristic, complemented
176C4×C22⋊C4×C73C2211yescharacteristic
177C4×C22⋊C4×C73C2211yescharacteristic
178C4×C22⋊C4×C73C2211yescharacteristic
179C4×C22⋊C4×C73C2211yescharacteristic, complemented
180C4×C22⋊C4×C73C2211yescharacteristic, complemented
181C4×C22⋊C4×C73C2211yescharacteristic, complemented
182C4×C22⋊C4×C73C2211yescharacteristic, complemented
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C25×C73C2311yescharacteristic
189C22×D4×C73—24no—
190C22×D4×C73—42no—
191C22×D4×C73—42no—
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C23×C4×C73C2311yescharacteristic
202C23×C4×C73C2311yescharacteristic
203C23×C4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211#126×C73—42no—
212#126×C73—42no—
213#125×C73—42no—
214#123×C73—24no—
215#123×C73—24no—
216#123×C73—42no—
217#123×C73—42no—
218#121×C73—24no—
219#121×C73—42no—
220#120×C73—24no—
221#120×C73—42no—
222C4×D4×C73—42no—
223C4×D4×C73—42no—
224#117×C73—24no—
225#117×C73—42no—
226#117×C73—42no—
227C2×C4⋊C4×C73—42no—
228C2×C4⋊C4×C73C2311yescharacteristic
229C2×C4⋊C4×C73C2311yescharacteristic
230C2×C4⋊C4×C73C2311yescharacteristic
231C2×C4⋊C4×C73C2311yescharacteristic
232C2×C4⋊C4×C73C2311yescharacteristic
233C2×C4⋊C4×C73C2311yescharacteristic
234C2×C4⋊C4×C73C2311yescharacteristic
235C2×C4⋊C4×C73C2311yescharacteristic
236C2×C4⋊C4×C73C2311yescharacteristic
237C2×C4⋊C4×C73C2311yescharacteristic
238C2×C4⋊C4×C73C2311yescharacteristic
239C2×C4⋊C4×C73C2311yescharacteristic
240C2×C4⋊C4×C73C2311yescharacteristic
241C2×C4⋊C4×C73C2311yescharacteristic
242C2×C4⋊C4×C73C2311yescharacteristic
243C2×C4⋊C4×C73C2311yescharacteristic
244C2×C4⋊C4×C73C2311yescharacteristic
245C2×C4⋊C4×C73C2311yescharacteristic
246C2×C4⋊C4×C73C2311yescharacteristic
247C2×C4⋊C4×C73C2311yescharacteristic
248C2×C4⋊C4×C73C2311yescharacteristic
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C4⋊C4×C73C2311yescharacteristic
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C22⋊C4×C73—24no—
258C2×C22⋊C4×C73—24no—
259C2×C22⋊C4×C73—24no—
260C2×C22⋊C4×C73—42no—
261C2×C22⋊C4×C73—42no—
262C2×C22⋊C4×C73—42no—
263C2×C22⋊C4×C73C2311yescharacteristic
264C2×C22⋊C4×C73C2311yescharacteristic
265C2×C22⋊C4×C73C2311yescharacteristic
266C2×C22⋊C4×C73C2311yescharacteristic
267C2×C22⋊C4×C73C2311yescharacteristic
268C2×C22⋊C4×C73C2311yescharacteristic
269C2×C22⋊C4×C73C2311yescharacteristic
270C2×C22⋊C4×C73C2311yescharacteristic
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C42×C73—42no—
320C2×C42×C73C2311yescharacteristic
321C2×C42×C73C2311yescharacteristic
322C2×C42×C73C2311yescharacteristic
323C2×C42×C73C2311yescharacteristic
324C2×C42×C73C2311yescharacteristic
325C2×C42×C73C2311yescharacteristic
326C2×C42×C73C2311yescharacteristic
327C2×C42×C73C2311yescharacteristic
328C2×C42×C73C2311yescharacteristic
329C2×C42×C73C2311yescharacteristic
330C2×C42×C73C2311yescharacteristic
331C2×C42×C73C2311yescharacteristic
332C2×C42×C73C2311yescharacteristic
333C2×C42×C73C2311yescharacteristic
334C2×C42×C73C2311yescharacteristic
335#95×C73C2311yescharacteristic
336#95×C73C2311yescharacteristic
337#95×C73C2311yescharacteristic
338#95×C73C2311yescharacteristic
339#95×C73C2311yescharacteristic
340#95×C73C2311yescharacteristic
341#95×C73C2311yescharacteristic
342#95×C73C2311yescharacteristic
343#95×C73C2311yescharacteristic
344#95×C73C2311yescharacteristic
345#95×C73C2311yescharacteristic
346#95×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369C24×C73—22no—
370C24×C73—22no—
371C24×C73—22no—
372C24×C73—22no—
373C24×C73—22no—
374C24×C73—22no—
375C24×C73—22no—
376C24×C73—22no—
377C24×C73—41no—
378C24×C73—41no—
379C24×C73—41no—
380C24×C73—41no—
381C24×C73—41no—
382C24×C73—41no—
383C24×C73C2411yescharacteristic
384C24×C73C2411yescharacteristic
385C24×C73C2411yescharacteristic
386C24×C73C2411yescharacteristic
387C24×C73C2411yescharacteristic
388C24×C73C2411yescharacteristic
389C2×D4×C73—22no—
390C2×D4×C73—22no—
391C2×D4×C73—22no—
392C2×D4×C73—22no—
393C2×D4×C73—22no—
394C2×D4×C73—22no—
395C2×D4×C73—22no—
396C2×D4×C73—22no—
397C2×D4×C73—22no—
398C2×D4×C73—22no—
399C2×D4×C73—22no—
400C2×D4×C73—22no—
401C2×D4×C73—41no—
402C2×D4×C73—41no—
403C2×D4×C73—41no—
404C2×D4×C73—41no—
405C2×D4×C73—41no—
406C2×D4×C73—41no—
407C2×D4×C73—41no—
408C2×D4×C73—416no—
409C2×D4×C73—41no—
410C2×D4×C73—41no—
411C2×D4×C73—41no—
412C2×D4×C73—41no—
413C2×D4×C73—41no—
414C2×D4×C73—41no—
415C2×D4×C73—41no—
416C2×D4×C73#4114yes—
417C22×C4×C73—22no—
418C22×C4×C73—22no—
419C22×C4×C73—22no—
420C22×C4×C73—22no—
421C22×C4×C73—22no—
422C22×C4×C73—22no—
423C22×C4×C73—22no—
424C22×C4×C73—22no—
425C22×C4×C73—22no—
426C22×C4×C73—22no—
427C22×C4×C73—22no—
428C22×C4×C73—22no—
429C22×C4×C73—22no—
430C22×C4×C73—22no—
431C22×C4×C73—41no—
432C22×C4×C73—41no—
433C22×C4×C73—41no—
434C22×C4×C73—41no—
435C22×C4×C73—41no—
436C22×C4×C73—41no—
437C22×C4×C73—41no—
438C22×C4×C73—41no—
439C22×C4×C73—41no—
440C22×C4×C73—41no—
441C22×C4×C73—41no—
442C22×C4×C73—41no—
443C22×C4×C73—41no—
444C22×C4×C73—41no—
445C22×C4×C73—41no—
446C22×C4×C73#4114yes—
447C22×C4×C73C2411yescharacteristic
448C22×C4×C73C2411yescharacteristic
449C22×C4×C73C2411yescharacteristic
450C22×C4×C73C2411yescharacteristic
451C22×C4×C73C2411yescharacteristic
452C22×C4×C73C2411yescharacteristic
453C22×C4×C73C2411yescharacteristic
454C22×C4×C73C2411yescharacteristic
455C22×C4×C73C2411yescharacteristic
456C22×C4×C73C2411yescharacteristic
457C22×C4×C73C2411yescharacteristic
458C22×C4×C73C2411yescharacteristic
459C22×C4×C73C2411yescharacteristic
460C22×C4×C73C2411yescharacteristic
461C22×C4×C73C2411yescharacteristic
462C22×C4×C73C2411yescharacteristic
463C22×C4×C73C2411yescharacteristic
464C22×C4×C73C2411yescharacteristic
465C22×C4×C73C2411yescharacteristic
466C22×C4×C73C2411yescharacteristic
467C22×C4×C73C2411yescharacteristic
468C22×C4×C73C2411yescharacteristic
469C22×C4×C73C2411yescharacteristic
470C22×C4×C73C2411yescharacteristic
471C22×C4×C73C2411yescharacteristic
472C4⋊C4×C73—22no—
473C4⋊C4×C73—22no—
474C4⋊C4×C73—22no—
475C4⋊C4×C73—22no—
476C4⋊C4×C73—22no—
477C4⋊C4×C73—22no—
478C4⋊C4×C73—22no—
479C4⋊C4×C73—22no—
480C4⋊C4×C73—22no—
481C4⋊C4×C73—22no—
482C4⋊C4×C73—22no—
483C4⋊C4×C73—22no—
484C4⋊C4×C73—22no—
485C4⋊C4×C73—22no—
486C4⋊C4×C73—41no—
487C4⋊C4×C73—41no—
488C4⋊C4×C73—41no—
489C4⋊C4×C73—41no—
490C4⋊C4×C73—41no—
491C4⋊C4×C73—41no—
492C4⋊C4×C73—41no—
493C4⋊C4×C73—41no—
494C4⋊C4×C73—41no—
495C4⋊C4×C73—41no—
496C4⋊C4×C73—41no—
497C4⋊C4×C73—41no—
498C4⋊C4×C73—41no—
499C4⋊C4×C73—41no—
500C4⋊C4×C73—41no—
501C22⋊C4×C73—22no—
502C22⋊C4×C73—22no—
503C22⋊C4×C73—22no—
504C22⋊C4×C73—22no—
505C22⋊C4×C73—22no—
506C22⋊C4×C73—22no—
507C22⋊C4×C73—22no—
508C22⋊C4×C73—22no—
509C22⋊C4×C73—22no—
510C22⋊C4×C73—22no—
511C22⋊C4×C73—22no—
512C22⋊C4×C73—22no—
513C22⋊C4×C73—22no—
514C22⋊C4×C73—22no—
515C22⋊C4×C73—22no—
516C22⋊C4×C73—22no—
517C22⋊C4×C73—22no—
518C22⋊C4×C73—22no—
519C22⋊C4×C73—22no—
520C22⋊C4×C73—22no—
521C22⋊C4×C73—22no—
522C22⋊C4×C73—22no—
523C22⋊C4×C73—22no—
524C22⋊C4×C73—22no—
525C22⋊C4×C73—22no—
526C22⋊C4×C73—22no—
527C22⋊C4×C73—22no—
528C22⋊C4×C73—22no—
529C22⋊C4×C73—22no—
530C22⋊C4×C73—22no—
531C22⋊C4×C73—41no—
532C22⋊C4×C73—41no—
533C22⋊C4×C73—41no—
534C22⋊C4×C73—41no—
535C22⋊C4×C73—41no—
536C22⋊C4×C73—41no—
537C22⋊C4×C73—41no—
538C22⋊C4×C73—41no—
539C22⋊C4×C73—41no—
540C22⋊C4×C73—41no—
541C22⋊C4×C73—41no—
542C22⋊C4×C73—41no—
543C22⋊C4×C73—41no—
544C22⋊C4×C73—41no—
545C22⋊C4×C73—41no—
546C22⋊C4×C73—41no—
547C22⋊C4×C73—41no—
548C22⋊C4×C73—41no—
549C22⋊C4×C73—41no—
550C22⋊C4×C73—41no—
551C22⋊C4×C73—41no—
552C22⋊C4×C73—41no—
553C22⋊C4×C73—41no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73#4114yes—
557C42×C73—22no—
558C42×C73—22no—
559C42×C73—22no—
560C42×C73—41no—
561C42×C73—41no—
562C42×C73—41no—
563C42×C73—41no—
564C42×C73—41no—
565C42×C73—41no—
566C42×C73—41no—
567C42×C73—41no—
568C42×C73—41no—
569C42×C73—41no—
570C42×C73—41no—
571C42×C73—41no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73—21no—
582C23×C73—21no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—44no—
610C23×C73—44no—
611C23×C73—44no—
612C23×C73—44no—
613C23×C73—44no—
614C23×C73—44no—
615C23×C73—44no—
616C23×C73—44no—
617C23×C73—82no—
618C23×C73—82no—
619C23×C73—82no—
620C23×C73—82no—
621C23×C73—82no—
622C23×C73—82no—
623C23×C73C2×#4112yes—
624C23×C73C2×#4112yes—
625C23×C73C2×#4112yes—
626C23×C73C2×#4112yes—
627C23×C73H(5,𝔽2)12yes—
628C23×C73C2511yescharacteristic
629D4×C73—44no—
630D4×C73—44no—
631D4×C73—44no—
632D4×C73—44no—
633D4×C73—44no—
634D4×C73—44no—
635D4×C73—82no—
636D4×C73—82no—
637D4×C73—82no—
638C2×C4×C73—28no—
639C2×C4×C73—28no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—44no—
709C2×C4×C73—44no—
710C2×C4×C73—82no—
711C2×C4×C73—82no—
712C2×C4×C73—82no—
713C2×C4×C73—82no—
714C2×C4×C73—82no—
715C2×C4×C73—82no—
716C2×C4×C73C2×#4112yes—
717C2×C4×C73C2×#4112yes—
718C2×C4×C73C2×#4112yes—
719C2×C4×C73C2×#4112yes—
720C2×C4×C73C2×#4112yes—
721C2×C4×C73H(5,𝔽2)12yes—
722C2×C4×C73H(5,𝔽2)12yes—
723C22×C73—22no—
724C22×C73—22no—
725C22×C73—22no—
726C22×C73—22no—
727C22×C73—22no—
728C22×C73—22no—
729C22×C73—22no—
730C22×C73—22no—
731C22×C73—22no—
732C22×C73—22no—
733C22×C73—22no—
734C22×C73—22no—
735C22×C73—41no—
736C22×C73—41no—
737C22×C73—41no—
738C22×C73—41no—
739C22×C73—41no—
740C22×C73—41no—
741C22×C73—41no—
742C22×C73—41no—
743C22×C73—41no—
744C22×C73—41no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73—41no—
748C22×C73—41no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—88no—
765C22×C73—88no—
766C22×C73#55314yes—
767C22×C73C22×#4111yescharacteristic
768C22×C73C22×#4111yescharacteristic
769C22×C73C22×#4111yescharacteristic
770C22×C73C2×H(5,𝔽2)11yescharacteristic
771C22×C73C2×H(5,𝔽2)11yescharacteristic
772C22×C73C2×H(5,𝔽2)11yescharacteristic
773C22×C73#58511yescharacteristic
774C4×C73—22no—
775C4×C73—22no—
776C4×C73—22no—
777C4×C73—22no—
778C4×C73—22no—
779C4×C73—22no—
780C4×C73—22no—
781C4×C73—41no—
782C4×C73—41no—
783C4×C73—41no—
784C4×C73—41no—
785C4×C73—41no—
786C4×C73—41no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73—41no—
795C4×C73—41no—
796C4×C73—41no—
797C4×C73—41no—
798C4×C73—41no—
799#59848C7311yesmaximal, characteristic, direct product factor, Sylow
800C2×C73—24no—
801C2×C73—42no—
802C2×C73—42no—
803C2×C73—81no—
804C2×C73—81no—
805C2×C73—81no—
806C2×C73C2×#55311yescharacteristic
807C2×C73#347511yescharacteristic
808C2×C73#348111yescharacteristic
809C2×C73#349011yescharacteristic
810C2×C73#350811yescharacteristic
811C2×C73#351411yescharacteristic
812C2×C73#353411yescharacteristic
813#2803C2×C7311yescharacteristic, complemented
814#2800C2×C7311yescharacteristic, complemented
815#2780C2×C7311yescharacteristic, complemented
816#2701C2×C7311yescharacteristic, complemented
817#2602C2×C7311yescharacteristic, complemented
818#2601C2×C7311yescharacteristic, complemented
819#2595C2×C7311yescharacteristic, complemented
820#2593C2×C7311yescharacteristic, complemented
821#2559C2×C7311yescharacteristic, complemented
822#2558C2×C7311yescharacteristic, complemented
823#2554C2×C7311yescharacteristic, complemented
824#2554C2×C7311yescharacteristic, complemented
825#2516C2×C7311yescharacteristic, complemented
826#2490C2×C7311yescharacteristic, complemented
827#2481C2×C7311yescharacteristic, complemented
828#2480C2×C7311yescharacteristic, complemented
829#2473C2×C7311yescharacteristic, complemented
830#2418C2×C7311yescharacteristic, complemented
831#2411C2×C7311yescharacteristic, complemented
832#2411C2×C7311yescharacteristic, complemented
833#2410C2×C7311yescharacteristic
834#2405C2×C7311yescharacteristic, complemented
835#2374C2×C7311yescharacteristic, complemented
836#2363C2×C7311yescharacteristic, complemented
837#2358C2×C7311yescharacteristic, complemented
838#2342C2×C7311yescharacteristic, complemented
839#2342C2×C7311yescharacteristic, complemented
840#2342C2×C7311yescharacteristic, complemented
841C4×#123C2×C7311yescharacteristic, complemented
842#2296C2×C7311yescharacteristic, complemented
843C2×#390C2×C7311yescharacteristic, complemented
844C73#5984811yescharacteristic, direct product factor, Sylow
845C23×D4C22×C7311yescharacteristic
846C2×#126C22×C7311yescharacteristic, complemented
847C2×#126C22×C7311yescharacteristic, complemented
848C2×#125C22×C7311yescharacteristic, complemented
849C2×#123C22×C7311yescharacteristic
850C2×#123C22×C7311yescharacteristic
851C2×#123C22×C7311yescharacteristic
852C2×#123C22×C7311yescharacteristic, complemented
853C2×#121C22×C7311yescharacteristic
854C2×#121C22×C7311yescharacteristic
855C2×#120C22×C7311yescharacteristic
856C2×#120C22×C7311yescharacteristic
857C2×C4×D4C22×C7311yescharacteristic
858C2×C4×D4C22×C7311yescharacteristic, complemented
859C2×#117C22×C7311yescharacteristic
860C2×#117C22×C7311yescharacteristic
861C2×#117C22×C7311yescharacteristic, complemented
862C22×C4⋊C4C22×C7311yescharacteristic
863C22×C22⋊C4C22×C7311yescharacteristic
864C22×C22⋊C4C22×C7311yescharacteristic
865C22×C22⋊C4C22×C7311yescharacteristic
866C22×C22⋊C4C22×C7311yescharacteristic
867C22×C22⋊C4C22×C7311yescharacteristic
868C22×C22⋊C4C22×C7311yescharacteristic
869C22×C42C22×C7311yescharacteristic
870#400C22×C7311yescharacteristic, complemented
871#400C22×C7311yescharacteristic, complemented
872#400C22×C7311yescharacteristic, complemented
873#399C22×C7311yescharacteristic, complemented
874#398C22×C7311yescharacteristic, complemented
875#398C22×C7311yescharacteristic, complemented
876#398C22×C7311yescharacteristic, complemented
877#397C22×C7311yescharacteristic, complemented
878#397C22×C7311yescharacteristic, complemented
879#397C22×C7311yescharacteristic, complemented
880#397C22×C7311yescharacteristic, complemented
881#397C22×C7311yescharacteristic, complemented
882#396C22×C7311yescharacteristic, complemented
883#396C22×C7311yescharacteristic, complemented
884#396C22×C7311yescharacteristic, complemented
885#396C22×C7311yescharacteristic, complemented
886#396C22×C7311yescharacteristic, complemented
887#396C22×C7311yescharacteristic, complemented
888#394C22×C7311yescharacteristic
889#394C22×C7311yescharacteristic
890#394C22×C7311yescharacteristic
891#394C22×C7311yescharacteristic
892#394C22×C7311yescharacteristic
893#394C22×C7311yescharacteristic
894#394C22×C7311yescharacteristic, complemented
895#394C22×C7311yescharacteristic, complemented
896#394C22×C7311yescharacteristic, complemented
897#394C22×C7311yescharacteristic, complemented
898#394C22×C7311yescharacteristic, complemented
899#394C22×C7311yescharacteristic, complemented
900#392C22×C7311yescharacteristic
901#392C22×C7311yescharacteristic
902#390C22×C7311yescharacteristic
903#390C22×C7311yescharacteristic
904#390C22×C7311yescharacteristic
905#390C22×C7311yescharacteristic
906#390C22×C7311yescharacteristic
907#390C22×C7311yescharacteristic
908#390C22×C7311yescharacteristic
909#390C22×C7311yescharacteristic
910#390C22×C7311yescharacteristic, complemented
911#390C22×C7311yescharacteristic, complemented
912#390C22×C7311yescharacteristic, complemented
913#390C22×C7311yescharacteristic, complemented
914#390C22×C7311yescharacteristic, complemented
915#389C22×C7311yescharacteristic, complemented
916#389C22×C7311yescharacteristic, complemented
917#389C22×C7311yescharacteristic, complemented
918#389C22×C7311yescharacteristic, complemented
919#389C22×C7311yescharacteristic, complemented
920#388C22×C7311yescharacteristic, complemented
921#388C22×C7311yescharacteristic, complemented
922#388C22×C7311yescharacteristic, complemented
923#388C22×C7311yescharacteristic, complemented
924#388C22×C7311yescharacteristic, complemented
925#388C22×C7311yescharacteristic, complemented
926#388C22×C7311yescharacteristic, complemented
927#388C22×C7311yescharacteristic, complemented
928#388C22×C7311yescharacteristic, complemented
929#388C22×C7311yescharacteristic, complemented
930#388C22×C7311yescharacteristic, complemented
931#388C22×C7311yescharacteristic, complemented
932#388C22×C7311yescharacteristic, complemented
933#388C22×C7311yescharacteristic, complemented
934#388C22×C7311yescharacteristic, complemented
935#388C22×C7311yescharacteristic, complemented
936#388C22×C7311yescharacteristic, complemented
937#388C22×C7311yescharacteristic, complemented
938#388C22×C7311yescharacteristic, complemented
939#388C22×C7311yescharacteristic, complemented
940#388C22×C7311yescharacteristic, complemented
941#388C22×C7311yescharacteristic, complemented
942#388C22×C7311yescharacteristic, complemented
943#388C22×C7311yescharacteristic, complemented
944#388C22×C7311yescharacteristic, complemented
945#388C22×C7311yescharacteristic, complemented
946#387C22×C7311yescharacteristic, complemented
947#387C22×C7311yescharacteristic, complemented
948#387C22×C7311yescharacteristic, complemented
949#387C22×C7311yescharacteristic, complemented
950#387C22×C7311yescharacteristic, complemented
951#387C22×C7311yescharacteristic, complemented
952#386C22×C7311yescharacteristic
953#386C22×C7311yescharacteristic
954#386C22×C7311yescharacteristic
955#386C22×C7311yescharacteristic
956#386C22×C7311yescharacteristic
957#386C22×C7311yescharacteristic
958#386C22×C7311yescharacteristic
959#386C22×C7311yescharacteristic, complemented
960#386C22×C7311yescharacteristic, complemented
961#386C22×C7311yescharacteristic, complemented
962#385C22×C7311yescharacteristic
963#385C22×C7311yescharacteristic
964#385C22×C7311yescharacteristic
965#385C22×C7311yescharacteristic
966#385C22×C7311yescharacteristic
967#385C22×C7311yescharacteristic
968#385C22×C7311yescharacteristic
969#385C22×C7311yescharacteristic, complemented
970#385C22×C7311yescharacteristic, complemented
971#385C22×C7311yescharacteristic, complemented
972#385C22×C7311yescharacteristic, complemented
973#385C22×C7311yescharacteristic, complemented
974#381C22×C7311yescharacteristic
975#381C22×C7311yescharacteristic, complemented
976#380C22×C7311yescharacteristic
977#380C22×C7311yescharacteristic
978#380C22×C7311yescharacteristic, complemented
979#379C22×C7311yescharacteristic
980#379C22×C7311yescharacteristic
981#379C22×C7311yescharacteristic
982#379C22×C7311yescharacteristic
983C4×C4⋊C4C22×C7311yescharacteristic, complemented
984C4×C4⋊C4C22×C7311yescharacteristic, complemented
985C4×C4⋊C4C22×C7311yescharacteristic, complemented
986C4×C4⋊C4C22×C7311yescharacteristic, complemented
987C4×C4⋊C4C22×C7311yescharacteristic, complemented
988C4×C4⋊C4C22×C7311yescharacteristic, complemented
989C4×C22⋊C4C22×C7311yescharacteristic
990C4×C22⋊C4C22×C7311yescharacteristic
991C4×C22⋊C4C22×C7311yescharacteristic
992C4×C22⋊C4C22×C7311yescharacteristic, complemented
993C4×C22⋊C4C22×C7311yescharacteristic, complemented
994C4×C22⋊C4C22×C7311yescharacteristic, complemented
995C4×C22⋊C4C22×C7311yescharacteristic, complemented
996C4×C22⋊C4C22×C7311yescharacteristic, complemented
997C4×C22⋊C4C22×C7311yescharacteristic, complemented
998C4×C22⋊C4C22×C7311yescharacteristic, complemented
999C4×C22⋊C4C22×C7311yescharacteristic, complemented
1000C25C23×C7311yescharacteristic
1001C25C23×C7311yescharacteristic
1002C22×D4—24no—
1003C22×D4—42no—
1004C22×D4—42no—
1005C22×D4C23×C7311yescharacteristic
1006C22×D4C23×C7311yescharacteristic
1007C22×D4C23×C7311yescharacteristic
1008C22×D4C23×C7311yescharacteristic
1009C22×D4C23×C7311yescharacteristic
1010C22×D4C23×C7311yescharacteristic
1011C22×D4C23×C7311yescharacteristic
1012C22×D4C23×C7311yescharacteristic
1013C22×D4C23×C7311yescharacteristic
1014C23×C4C23×C7311yescharacteristic
1015C23×C4C23×C7311yescharacteristic
1016C23×C4C23×C7311yescharacteristic
1017C23×C4C23×C7311yescharacteristic
1018C23×C4C23×C7311yescharacteristic
1019C23×C4C23×C7311yescharacteristic
1020C23×C4C23×C7311yescharacteristic
1021C23×C4C23×C7311yescharacteristic
1022C23×C4C23×C7311yescharacteristic
1023C23×C4C23×C7311yescharacteristic
1024#126—42no—
1025#126—42no—
1026#125—42no—
1027#123—24no—
1028#123—24no—
1029#123—42no—
1030#123—42no—
1031#121—24no—
1032#121—42no—
1033#120—24no—
1034#120—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037#117—24no—
1038#117—42no—
1039#117—42no—
1040C2×C4⋊C4—42no—
1041C2×C4⋊C4C23×C7311yescharacteristic
1042C2×C4⋊C4C23×C7311yescharacteristic
1043C2×C4⋊C4C23×C7311yescharacteristic
1044C2×C4⋊C4C23×C7311yescharacteristic
1045C2×C4⋊C4C23×C7311yescharacteristic
1046C2×C4⋊C4C23×C7311yescharacteristic
1047C2×C4⋊C4C23×C7311yescharacteristic
1048C2×C4⋊C4C23×C7311yescharacteristic
1049C2×C4⋊C4C23×C7311yescharacteristic
1050C2×C4⋊C4C23×C7311yescharacteristic
1051C2×C4⋊C4C23×C7311yescharacteristic
1052C2×C4⋊C4C23×C7311yescharacteristic
1053C2×C4⋊C4C23×C7311yescharacteristic
1054C2×C4⋊C4C23×C7311yescharacteristic
1055C2×C4⋊C4C23×C7311yescharacteristic
1056C2×C4⋊C4C23×C7311yescharacteristic
1057C2×C4⋊C4C23×C7311yescharacteristic
1058C2×C4⋊C4C23×C7311yescharacteristic
1059C2×C4⋊C4C23×C7311yescharacteristic
1060C2×C4⋊C4C23×C7311yescharacteristic
1061C2×C4⋊C4C23×C7311yescharacteristic
1062C2×C4⋊C4C23×C7311yescharacteristic
1063C2×C4⋊C4C23×C7311yescharacteristic
1064C2×C4⋊C4C23×C7311yescharacteristic
1065C2×C4⋊C4C23×C7311yescharacteristic
1066C2×C4⋊C4C23×C7311yescharacteristic
1067C2×C4⋊C4C23×C7311yescharacteristic
1068C2×C4⋊C4C23×C7311yescharacteristic
1069C2×C4⋊C4C23×C7311yescharacteristic
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—42no—
1074C2×C22⋊C4—42no—
1075C2×C22⋊C4—42no—
1076C2×C22⋊C4C23×C7311yescharacteristic
1077C2×C22⋊C4C23×C7311yescharacteristic
1078C2×C22⋊C4C23×C7311yescharacteristic
1079C2×C22⋊C4C23×C7311yescharacteristic
1080C2×C22⋊C4C23×C7311yescharacteristic
1081C2×C22⋊C4C23×C7311yescharacteristic
1082C2×C22⋊C4C23×C7311yescharacteristic
1083C2×C22⋊C4C23×C7311yescharacteristic
1084C2×C22⋊C4C23×C7311yescharacteristic
1085C2×C22⋊C4C23×C7311yescharacteristic
1086C2×C22⋊C4C23×C7311yescharacteristic
1087C2×C22⋊C4C23×C7311yescharacteristic
1088C2×C22⋊C4C23×C7311yescharacteristic
1089C2×C22⋊C4C23×C7311yescharacteristic
1090C2×C22⋊C4C23×C7311yescharacteristic
1091C2×C22⋊C4C23×C7311yescharacteristic
1092C2×C22⋊C4C23×C7311yescharacteristic
1093C2×C22⋊C4C23×C7311yescharacteristic
1094C2×C22⋊C4C23×C7311yescharacteristic
1095C2×C22⋊C4C23×C7311yescharacteristic
1096C2×C22⋊C4C23×C7311yescharacteristic
1097C2×C22⋊C4C23×C7311yescharacteristic
1098C2×C22⋊C4C23×C7311yescharacteristic
1099C2×C22⋊C4C23×C7311yescharacteristic
1100C2×C22⋊C4C23×C7311yescharacteristic
1101C2×C22⋊C4C23×C7311yescharacteristic
1102C2×C22⋊C4C23×C7311yescharacteristic
1103C2×C22⋊C4C23×C7311yescharacteristic
1104C2×C22⋊C4C23×C7311yescharacteristic
1105C2×C22⋊C4C23×C7311yescharacteristic
1106C2×C22⋊C4C23×C7311yescharacteristic
1107C2×C22⋊C4C23×C7311yescharacteristic
1108C2×C22⋊C4C23×C7311yescharacteristic
1109C2×C22⋊C4C23×C7311yescharacteristic
1110C2×C22⋊C4C23×C7311yescharacteristic
1111C2×C22⋊C4C23×C7311yescharacteristic
1112C2×C22⋊C4C23×C7311yescharacteristic
1113C2×C22⋊C4C23×C7311yescharacteristic
1114C2×C22⋊C4C23×C7311yescharacteristic
1115C2×C22⋊C4C23×C7311yescharacteristic
1116C2×C22⋊C4C23×C7311yescharacteristic
1117C2×C22⋊C4C23×C7311yescharacteristic
1118C2×C22⋊C4C23×C7311yescharacteristic
1119C2×C22⋊C4C23×C7311yescharacteristic
1120C2×C22⋊C4C23×C7311yescharacteristic
1121C2×C22⋊C4C23×C7311yescharacteristic
1122C2×C22⋊C4C23×C7311yescharacteristic
1123C2×C22⋊C4C23×C7311yescharacteristic
1124C2×C22⋊C4C23×C7311yescharacteristic
1125C2×C22⋊C4C23×C7311yescharacteristic
1126C2×C22⋊C4C23×C7311yescharacteristic
1127C2×C22⋊C4C23×C7311yescharacteristic
1128C2×C22⋊C4C23×C7311yescharacteristic
1129C2×C22⋊C4C23×C7311yescharacteristic
1130C2×C22⋊C4C23×C7311yescharacteristic
1131C2×C22⋊C4C23×C7311yescharacteristic
1132C2×C42—42no—
1133C2×C42C23×C7311yescharacteristic
1134C2×C42C23×C7311yescharacteristic
1135C2×C42C23×C7311yescharacteristic
1136C2×C42C23×C7311yescharacteristic
1137C2×C42C23×C7311yescharacteristic
1138C2×C42C23×C7311yescharacteristic
1139C2×C42C23×C7311yescharacteristic
1140C2×C42C23×C7311yescharacteristic
1141C2×C42C23×C7311yescharacteristic
1142C2×C42C23×C7311yescharacteristic
1143C2×C42C23×C7311yescharacteristic
1144C2×C42C23×C7311yescharacteristic
1145C2×C42C23×C7311yescharacteristic
1146C2×C42C23×C7311yescharacteristic
1147C2×C42C23×C7311yescharacteristic
1148#95C23×C7311yescharacteristic
1149#95C23×C7311yescharacteristic
1150#95C23×C7311yescharacteristic
1151#95C23×C7311yescharacteristic
1152#95C23×C7311yescharacteristic
1153#95C23×C7311yescharacteristic
1154#95C23×C7311yescharacteristic
1155#95C23×C7311yescharacteristic
1156#95C23×C7311yescharacteristic
1157#95C23×C7311yescharacteristic
1158#95C23×C7311yescharacteristic
1159#95C23×C7311yescharacteristic
1160#95C23×C7311yescharacteristic
1161#95C23×C7311yescharacteristic
1162#95C23×C7311yescharacteristic
1163#95C23×C7311yescharacteristic
1164#95C23×C7311yescharacteristic
1165#95C23×C7311yescharacteristic
1166#95C23×C7311yescharacteristic
1167#95C23×C7311yescharacteristic
1168#95C23×C7311yescharacteristic
1169#95C23×C7311yescharacteristic
1170#95C23×C7311yescharacteristic
1171#95C23×C7311yescharacteristic
1172#95C23×C7311yescharacteristic
1173#95C23×C7311yescharacteristic
1174#95C23×C7311yescharacteristic
1175#95C23×C7311yescharacteristic
1176#95C23×C7311yescharacteristic
1177#95C23×C7311yescharacteristic
1178#95C23×C7311yescharacteristic
1179#95C23×C7311yescharacteristic
1180#95C23×C7311yescharacteristic
1181#95C23×C7311yescharacteristic
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24C24×C7311yescharacteristic
1197C24C24×C7311yescharacteristic
1198C24C24×C7311yescharacteristic
1199C24C24×C7311yescharacteristic
1200C24C24×C7311yescharacteristic
1201C24C24×C7311yescharacteristic
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—416no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4#41×C7314yes—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4#41×C7314yes—
1260C22×C4C24×C7311yescharacteristic
1261C22×C4C24×C7311yescharacteristic
1262C22×C4C24×C7311yescharacteristic
1263C22×C4C24×C7311yescharacteristic
1264C22×C4C24×C7311yescharacteristic
1265C22×C4C24×C7311yescharacteristic
1266C22×C4C24×C7311yescharacteristic
1267C22×C4C24×C7311yescharacteristic
1268C22×C4C24×C7311yescharacteristic
1269C22×C4C24×C7311yescharacteristic
1270C22×C4C24×C7311yescharacteristic
1271C22×C4C24×C7311yescharacteristic
1272C22×C4C24×C7311yescharacteristic
1273C22×C4C24×C7311yescharacteristic
1274C22×C4C24×C7311yescharacteristic
1275C22×C4C24×C7311yescharacteristic
1276C22×C4C24×C7311yescharacteristic
1277C22×C4C24×C7311yescharacteristic
1278C22×C4C24×C7311yescharacteristic
1279C22×C4C24×C7311yescharacteristic
1280C22×C4C24×C7311yescharacteristic
1281C22×C4C24×C7311yescharacteristic
1282C22×C4C24×C7311yescharacteristic
1283C22×C4C24×C7311yescharacteristic
1284C22×C4C24×C7311yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4#41×C7314yes—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23C2×#41×C7312yes—
1437C23C2×#41×C7312yes—
1438C23C2×#41×C7312yes—
1439C23C2×#41×C7312yes—
1440C23H(5,𝔽2)×C7312yes—
1441C23C25×C7311yescharacteristic
1442D4—44no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—82no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4C2×#41×C7312yes—
1530C2×C4C2×#41×C7312yes—
1531C2×C4C2×#41×C7312yes—
1532C2×C4C2×#41×C7312yes—
1533C2×C4C2×#41×C7312yes—
1534C2×C4H(5,𝔽2)×C7312yes—
1535C2×C4H(5,𝔽2)×C7312yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—88no—
1578C22—88no—
1579C22#553×C7314yes—
1580C22C22×#41×C7311yescharacteristic
1581C22C22×#41×C7311yescharacteristic
1582C22C22×#41×C7311yescharacteristic
1583C22C2×H(5,𝔽2)×C7311yescharacteristic
1584C22C2×H(5,𝔽2)×C7311yescharacteristic
1585C22C2×H(5,𝔽2)×C7311yescharacteristic
1586C22#585×C7311yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C2—24no—
1613C2—42no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2C2×#553×C7311yescharacteristic
1619C2C73×#347511yescharacteristic
1620C2C73×#348111yescharacteristic
1621C2C73×#349011yescharacteristic
1622C2C73×#350811yescharacteristic
1623C2C73×#351411yescharacteristic
1624C2C73×#353411yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC73×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2803C2semidirect
2. C73×#2800C2semidirect
3. C73×#2780C2semidirect
4. C73×#2701C2semidirect
5. C73×#2602C2semidirect
6. C73×#2601C2semidirect
7. C73×#2595C2semidirect
8. C73×#2593C2semidirect
9. C73×#2559C2semidirect
10. C73×#2558C2semidirect
11. C73×#2554C2semidirect
12. C73×#2554C2semidirect
13. C73×#2516C2semidirect
14. C73×#2490C2semidirect
15. C73×#2481C2semidirect
16. C73×#2480C2semidirect
17. C73×#2473C2semidirect
18. C73×#2418C2semidirect
19. C73×#2411C2semidirect
20. C73×#2411C2semidirect
22. C73×#2405C2semidirect
23. C73×#2374C2semidirect
24. C73×#2363C2semidirect
25. C73×#2358C2semidirect
26. C73×#2342C2semidirect
27. C73×#2342C2semidirect
28. C73×#2342C2semidirect
29. C4×#123×C73C2semidirect
30. C73×#2296C2semidirect
31. C2×#390×C73C2semidirect
33. C2×#126×C73C22semidirect
34. C2×#126×C73C22semidirect
35. C2×#125×C73C22semidirect
39. C2×#123×C73C22semidirect
45. C2×C4×D4×C73C22semidirect
48. C2×#117×C73C22semidirect
57. #400×C73C22semidirect
58. #400×C73C22semidirect
59. #400×C73C22semidirect
60. #399×C73C22semidirect
61. #398×C73C22semidirect
62. #398×C73C22semidirect
63. #398×C73C22semidirect
64. #397×C73C22semidirect
65. #397×C73C22semidirect
66. #397×C73C22semidirect
67. #397×C73C22semidirect
68. #397×C73C22semidirect
69. #396×C73C22semidirect
70. #396×C73C22semidirect
71. #396×C73C22semidirect
72. #396×C73C22semidirect
73. #396×C73C22semidirect
74. #396×C73C22semidirect
81. #394×C73C22semidirect
82. #394×C73C22semidirect
83. #394×C73C22semidirect
84. #394×C73C22semidirect
85. #394×C73C22semidirect
86. #394×C73C22semidirect
97. #390×C73C22semidirect
98. #390×C73C22semidirect
99. #390×C73C22semidirect
100. #390×C73C22semidirect
101. #390×C73C22semidirect
102. #389×C73C22semidirect
103. #389×C73C22semidirect
104. #389×C73C22semidirect
105. #389×C73C22semidirect
106. #389×C73C22semidirect
107. #388×C73C22semidirect
108. #388×C73C22semidirect
109. #388×C73C22semidirect
110. #388×C73C22semidirect
111. #388×C73C22semidirect
112. #388×C73C22semidirect
113. #388×C73C22semidirect
114. #388×C73C22semidirect
115. #388×C73C22semidirect
116. #388×C73C22semidirect
117. #388×C73C22semidirect
118. #388×C73C22semidirect
119. #388×C73C22semidirect
120. #388×C73C22semidirect
121. #388×C73C22semidirect
122. #388×C73C22semidirect
123. #388×C73C22semidirect
124. #388×C73C22semidirect
125. #388×C73C22semidirect
126. #388×C73C22semidirect
127. #388×C73C22semidirect
128. #388×C73C22semidirect
129. #388×C73C22semidirect
130. #388×C73C22semidirect
131. #388×C73C22semidirect
132. #388×C73C22semidirect
133. #387×C73C22semidirect
134. #387×C73C22semidirect
135. #387×C73C22semidirect
136. #387×C73C22semidirect
137. #387×C73C22semidirect
138. #387×C73C22semidirect
146. #386×C73C22semidirect
147. #386×C73C22semidirect
148. #386×C73C22semidirect
156. #385×C73C22semidirect
157. #385×C73C22semidirect
158. #385×C73C22semidirect
159. #385×C73C22semidirect
160. #385×C73C22semidirect
162. #381×C73C22semidirect
165. #380×C73C22semidirect
170. C4×C4⋊C4×C73C22semidirect
171. C4×C4⋊C4×C73C22semidirect
172. C4×C4⋊C4×C73C22semidirect
173. C4×C4⋊C4×C73C22semidirect
174. C4×C4⋊C4×C73C22semidirect
175. C4×C4⋊C4×C73C22semidirect
179. C4×C22⋊C4×C73C22semidirect
180. C4×C22⋊C4×C73C22semidirect
181. C4×C22⋊C4×C73C22semidirect
182. C4×C22⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
799. #59848C73direct (N × H)
813. #2803C2×C73semidirect
814. #2800C2×C73semidirect
815. #2780C2×C73semidirect
816. #2701C2×C73semidirect
817. #2602C2×C73semidirect
818. #2601C2×C73semidirect
819. #2595C2×C73semidirect
820. #2593C2×C73semidirect
821. #2559C2×C73semidirect
822. #2558C2×C73semidirect
823. #2554C2×C73semidirect
824. #2554C2×C73semidirect
825. #2516C2×C73semidirect
826. #2490C2×C73semidirect
827. #2481C2×C73semidirect
828. #2480C2×C73semidirect
829. #2473C2×C73semidirect
830. #2418C2×C73semidirect
831. #2411C2×C73semidirect
832. #2411C2×C73semidirect
834. #2405C2×C73semidirect
835. #2374C2×C73semidirect
836. #2363C2×C73semidirect
837. #2358C2×C73semidirect
838. #2342C2×C73semidirect
839. #2342C2×C73semidirect
840. #2342C2×C73semidirect
841. C4×#123C2×C73semidirect
842. #2296C2×C73semidirect
843. C2×#390C2×C73semidirect
844. C73#59848direct (N × H)
846. C2×#126C22×C73semidirect
847. C2×#126C22×C73semidirect
848. C2×#125C22×C73semidirect
852. C2×#123C22×C73semidirect
858. C2×C4×D4C22×C73semidirect
861. C2×#117C22×C73semidirect
870. #400C22×C73semidirect
871. #400C22×C73semidirect
872. #400C22×C73semidirect
873. #399C22×C73semidirect
874. #398C22×C73semidirect
875. #398C22×C73semidirect
876. #398C22×C73semidirect
877. #397C22×C73semidirect
878. #397C22×C73semidirect
879. #397C22×C73semidirect
880. #397C22×C73semidirect
881. #397C22×C73semidirect
882. #396C22×C73semidirect
883. #396C22×C73semidirect
884. #396C22×C73semidirect
885. #396C22×C73semidirect
886. #396C22×C73semidirect
887. #396C22×C73semidirect
894. #394C22×C73semidirect
895. #394C22×C73semidirect
896. #394C22×C73semidirect
897. #394C22×C73semidirect
898. #394C22×C73semidirect
899. #394C22×C73semidirect
910. #390C22×C73semidirect
911. #390C22×C73semidirect
912. #390C22×C73semidirect
913. #390C22×C73semidirect
914. #390C22×C73semidirect
915. #389C22×C73semidirect
916. #389C22×C73semidirect
917. #389C22×C73semidirect
918. #389C22×C73semidirect
919. #389C22×C73semidirect
920. #388C22×C73semidirect
921. #388C22×C73semidirect
922. #388C22×C73semidirect
923. #388C22×C73semidirect
924. #388C22×C73semidirect
925. #388C22×C73semidirect
926. #388C22×C73semidirect
927. #388C22×C73semidirect
928. #388C22×C73semidirect
929. #388C22×C73semidirect
930. #388C22×C73semidirect
931. #388C22×C73semidirect
932. #388C22×C73semidirect
933. #388C22×C73semidirect
934. #388C22×C73semidirect
935. #388C22×C73semidirect
936. #388C22×C73semidirect
937. #388C22×C73semidirect
938. #388C22×C73semidirect
939. #388C22×C73semidirect
940. #388C22×C73semidirect
941. #388C22×C73semidirect
942. #388C22×C73semidirect
943. #388C22×C73semidirect
944. #388C22×C73semidirect
945. #388C22×C73semidirect
946. #387C22×C73semidirect
947. #387C22×C73semidirect
948. #387C22×C73semidirect
949. #387C22×C73semidirect
950. #387C22×C73semidirect
951. #387C22×C73semidirect
959. #386C22×C73semidirect
960. #386C22×C73semidirect
961. #386C22×C73semidirect
969. #385C22×C73semidirect
970. #385C22×C73semidirect
971. #385C22×C73semidirect
972. #385C22×C73semidirect
973. #385C22×C73semidirect
975. #381C22×C73semidirect
978. #380C22×C73semidirect
983. C4×C4⋊C4C22×C73semidirect
984. C4×C4⋊C4C22×C73semidirect
985. C4×C4⋊C4C22×C73semidirect
986. C4×C4⋊C4C22×C73semidirect
987. C4×C4⋊C4C22×C73semidirect
988. C4×C4⋊C4C22×C73semidirect
992. C4×C22⋊C4C22×C73semidirect
993. C4×C22⋊C4C22×C73semidirect
994. C4×C22⋊C4C22×C73semidirect
995. C4×C22⋊C4C22×C73semidirect
996. C4×C22⋊C4C22×C73semidirect
997. C4×C22⋊C4C22×C73semidirect
998. C4×C22⋊C4C22×C73semidirect
999. C4×C22⋊C4C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28032
C73×#28002
C73×#27802
C73×#27012
C73×#26022
C73×#26012
C73×#25952
C73×#25932
C73×#25592
C73×#25582
C73×#25542
C73×#25162
C73×#24902
C73×#24812
C73×#24802
C73×#24732
C73×#24182
C73×#24112
C73×#24102
C73×#24052
C73×#23742
C73×#23632
C73×#23582
C73×#23422
C4×#123×C732
C73×#22962
C2×#390×C732
#5984873