Finite Group Databasebeta

← C73×#59605 #32969009

Subgroups — C73×#59605 #32969009

Order 18688.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2790C211yesmaximal, characteristic, complemented
2C73×#2786C211yesmaximal, characteristic, complemented
3C73×#2739C211yesmaximal, characteristic, complemented
4C73×#2685C211yesmaximal, characteristic
5C73×#2611C211yesmaximal, characteristic, complemented
6C73×#2597C211yesmaximal, characteristic, complemented
7C73×#2597C211yesmaximal, characteristic, complemented
8C73×#2578C211yesmaximal, characteristic, complemented
9C73×#2573C211yesmaximal, characteristic, complemented
10C73×#2558C211yesmaximal, characteristic, complemented
11C73×#2531C211yesmaximal, characteristic, complemented
12C73×#2531C211yesmaximal, characteristic, complemented
13C73×#2522C211yesmaximal, characteristic, complemented
14C73×#2497C211yesmaximal, characteristic, complemented
15C73×#2480C211yesmaximal, characteristic, complemented
16C73×#2480C211yesmaximal, characteristic, complemented
17C73×#2478C211yesmaximal, characteristic, complemented
18C73×#2475C211yesmaximal, characteristic, complemented
19C73×#2470C211yesmaximal, characteristic, complemented
20C73×#2468C211yesmaximal, characteristic, complemented
21C73×#2466C211yesmaximal, characteristic, complemented
22C73×#2411C211yesmaximal, characteristic
23C73×#2373C211yesmaximal, characteristic, complemented
24C73×#2373C211yesmaximal, characteristic, complemented
25C73×#2358C211yesmaximal, characteristic
26C73×#2354C211yesmaximal, characteristic, complemented
27C73×#2342C211yesmaximal, characteristic, complemented
28C73×#2342C211yesmaximal, characteristic, complemented
29C4×#126×C73C211yesmaximal, characteristic, complemented
30C73×#2298C211yesmaximal, characteristic, complemented
31C73×#2293C211yesmaximal, characteristic, complemented
32C2×#126×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic
34C2×#126×C73C2211yescharacteristic
35C2×#125×C73C2211yescharacteristic, complemented
36C2×#123×C73C2211yescharacteristic
37C2×#120×C73C2211yescharacteristic
38C2×C4×D4×C73C2211yescharacteristic
39C2×C4×D4×C73C2211yescharacteristic
40C2×#117×C73C2211yescharacteristic
41C2×#117×C73C2211yescharacteristic
42C2×#117×C73C2211yescharacteristic
43C2×#117×C73C2211yescharacteristic, complemented
44C22×C22⋊C4×C73C2211yescharacteristic
45C22×C22⋊C4×C73C2211yescharacteristic
46C22×C22⋊C4×C73C2211yescharacteristic
47#400×C73C2211yescharacteristic, complemented
48#400×C73C2211yescharacteristic, complemented
49#400×C73C2211yescharacteristic, complemented
50#400×C73C2211yescharacteristic, complemented
51#400×C73C2211yescharacteristic, complemented
52#399×C73C2211yescharacteristic
53#398×C73C2211yescharacteristic, complemented
54#398×C73C2211yescharacteristic, complemented
55#398×C73C2211yescharacteristic, complemented
56#398×C73C2211yescharacteristic, complemented
57#398×C73C2211yescharacteristic, complemented
58#397×C73C2211yescharacteristic
59#397×C73C2211yescharacteristic
60#397×C73C2211yescharacteristic
61#397×C73C2211yescharacteristic
62#397×C73C2211yescharacteristic
63#397×C73C2211yescharacteristic
64#397×C73C2211yescharacteristic, complemented
65#397×C73C2211yescharacteristic, complemented
66#397×C73C2211yescharacteristic, complemented
67#396×C73C2211yescharacteristic
68#396×C73C2211yescharacteristic
69#396×C73C2211yescharacteristic
70#396×C73C2211yescharacteristic
71#396×C73C2211yescharacteristic
72#396×C73C2211yescharacteristic, complemented
73#394×C73C2211yescharacteristic
74#394×C73C2211yescharacteristic
75#394×C73C2211yescharacteristic
76#394×C73C2211yescharacteristic
77#394×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
79#390×C73C2211yescharacteristic
80#390×C73C2211yescharacteristic
81#390×C73C2211yescharacteristic
82#390×C73C2211yescharacteristic
83#390×C73C2211yescharacteristic
84#389×C73C2211yescharacteristic, complemented
85#389×C73C2211yescharacteristic, complemented
86#389×C73C2211yescharacteristic, complemented
87#389×C73C2211yescharacteristic, complemented
88#389×C73C2211yescharacteristic, complemented
89#389×C73C2211yescharacteristic, complemented
90#389×C73C2211yescharacteristic, complemented
91#388×C73C2211yescharacteristic
92#388×C73C2211yescharacteristic
93#388×C73C2211yescharacteristic
94#388×C73C2211yescharacteristic
95#388×C73C2211yescharacteristic
96#388×C73C2211yescharacteristic
97#388×C73C2211yescharacteristic
98#388×C73C2211yescharacteristic
99#388×C73C2211yescharacteristic
100#388×C73C2211yescharacteristic
101#388×C73C2211yescharacteristic
102#388×C73C2211yescharacteristic
103#388×C73C2211yescharacteristic
104#388×C73C2211yescharacteristic
105#388×C73C2211yescharacteristic
106#388×C73C2211yescharacteristic
107#388×C73C2211yescharacteristic
108#388×C73C2211yescharacteristic
109#388×C73C2211yescharacteristic
110#388×C73C2211yescharacteristic
111#388×C73C2211yescharacteristic
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#387×C73C2211yescharacteristic, complemented
121#387×C73C2211yescharacteristic, complemented
122#387×C73C2211yescharacteristic, complemented
123#387×C73C2211yescharacteristic, complemented
124#387×C73C2211yescharacteristic, complemented
125#387×C73C2211yescharacteristic, complemented
126#387×C73C2211yescharacteristic, complemented
127#387×C73C2211yescharacteristic, complemented
128#387×C73C2211yescharacteristic, complemented
129#387×C73C2211yescharacteristic, complemented
130#387×C73C2211yescharacteristic, complemented
131#387×C73C2211yescharacteristic, complemented
132#387×C73C2211yescharacteristic, complemented
133#387×C73C2211yescharacteristic, complemented
134#387×C73C2211yescharacteristic, complemented
135#387×C73C2211yescharacteristic, complemented
136#387×C73C2211yescharacteristic, complemented
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#385×C73C2211yescharacteristic
142#385×C73C2211yescharacteristic
143#385×C73C2211yescharacteristic
144#385×C73C2211yescharacteristic
145#385×C73C2211yescharacteristic
146#385×C73C2211yescharacteristic
147#385×C73C2211yescharacteristic
148#385×C73C2211yescharacteristic
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic
152#385×C73C2211yescharacteristic, complemented
153#384×C73C2211yescharacteristic, complemented
154#383×C73C2211yescharacteristic, complemented
155#381×C73C2211yescharacteristic
156#381×C73C2211yescharacteristic
157#380×C73C2211yescharacteristic
158#380×C73C2211yescharacteristic
159#380×C73C2211yescharacteristic
160#380×C73C2211yescharacteristic
161#380×C73C2211yescharacteristic, complemented
162#379×C73C2211yescharacteristic
163#379×C73C2211yescharacteristic
164#379×C73C2211yescharacteristic
165C4×C4⋊C4×C73C2211yescharacteristic, complemented
166C4×C4⋊C4×C73C2211yescharacteristic, complemented
167C4×C4⋊C4×C73C2211yescharacteristic, complemented
168C4×C4⋊C4×C73C2211yescharacteristic, complemented
169C4×C4⋊C4×C73C2211yescharacteristic, complemented
170C4×C4⋊C4×C73C2211yescharacteristic, complemented
171C4×C4⋊C4×C73C2211yescharacteristic, complemented
172C4×C4⋊C4×C73C2211yescharacteristic, complemented
173C4×C22⋊C4×C73C2211yescharacteristic
174C4×C22⋊C4×C73C2211yescharacteristic
175C4×C22⋊C4×C73C2211yescharacteristic
176C4×C22⋊C4×C73C2211yescharacteristic
177C4×C22⋊C4×C73C2211yescharacteristic
178C4×C22⋊C4×C73C2211yescharacteristic
179C4×C22⋊C4×C73C2211yescharacteristic
180C4×C22⋊C4×C73C2211yescharacteristic
181C4×C22⋊C4×C73C2211yescharacteristic
182C4×C22⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184#376×C73C2211yescharacteristic, complemented
185#376×C73C2211yescharacteristic, complemented
186C43×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C22×D4×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C23×C4×C73C2311yescharacteristic
192C23×C4×C73C2311yescharacteristic
193C23×C4×C73C2311yescharacteristic
194C23×C4×C73C2311yescharacteristic
195C23×C4×C73C2311yescharacteristic
196C23×C4×C73C2311yescharacteristic
197C23×C4×C73C2311yescharacteristic
198#126×C73—24no—
199#126×C73—24no—
200#126×C73—24no—
201#125×C73—42no—
202#123×C73—42no—
203#120×C73—24no—
204C4×D4×C73—24no—
205C4×D4×C73—24no—
206#117×C73—24no—
207#117×C73—42no—
208#117×C73—42no—
209#117×C73—42no—
210C2×C4⋊C4×C73C2311yescharacteristic
211C2×C4⋊C4×C73C2311yescharacteristic
212C2×C4⋊C4×C73C2311yescharacteristic
213C2×C4⋊C4×C73C2311yescharacteristic
214C2×C4⋊C4×C73C2311yescharacteristic
215C2×C4⋊C4×C73C2311yescharacteristic
216C2×C4⋊C4×C73C2311yescharacteristic
217C2×C4⋊C4×C73C2311yescharacteristic
218C2×C4⋊C4×C73C2311yescharacteristic
219C2×C4⋊C4×C73C2311yescharacteristic
220C2×C4⋊C4×C73C2311yescharacteristic
221C2×C4⋊C4×C73C2311yescharacteristic
222C2×C4⋊C4×C73C2311yescharacteristic
223C2×C4⋊C4×C73C2311yescharacteristic
224C2×C4⋊C4×C73C2311yescharacteristic
225C2×C4⋊C4×C73C2311yescharacteristic
226C2×C4⋊C4×C73C2311yescharacteristic
227C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73—24no—
246C2×C22⋊C4×C73—24no—
247C2×C22⋊C4×C73—42no—
248C2×C22⋊C4×C73C2311yescharacteristic
249C2×C22⋊C4×C73C2311yescharacteristic
250C2×C22⋊C4×C73C2311yescharacteristic
251C2×C22⋊C4×C73C2311yescharacteristic
252C2×C22⋊C4×C73C2311yescharacteristic
253C2×C22⋊C4×C73C2311yescharacteristic
254C2×C22⋊C4×C73C2311yescharacteristic
255C2×C22⋊C4×C73C2311yescharacteristic
256C2×C22⋊C4×C73C2311yescharacteristic
257C2×C22⋊C4×C73C2311yescharacteristic
258C2×C22⋊C4×C73C2311yescharacteristic
259C2×C22⋊C4×C73C2311yescharacteristic
260C2×C22⋊C4×C73C2311yescharacteristic
261C2×C22⋊C4×C73C2311yescharacteristic
262C2×C22⋊C4×C73C2311yescharacteristic
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×C42×C73C2311yescharacteristic
293C2×C42×C73C2311yescharacteristic
294C2×C42×C73C2311yescharacteristic
295C2×C42×C73C2311yescharacteristic
296C2×C42×C73C2311yescharacteristic
297C2×C42×C73C2311yescharacteristic
298C2×C42×C73C2311yescharacteristic
299C2×C42×C73C2311yescharacteristic
300C2×C42×C73C2311yescharacteristic
301C2×C42×C73C2311yescharacteristic
302C2×C42×C73C2311yescharacteristic
303C2×C42×C73C2311yescharacteristic
304C2×C42×C73C2311yescharacteristic
305C2×C42×C73C2311yescharacteristic
306C2×C42×C73C2311yescharacteristic
307C2×C42×C73C2311yescharacteristic
308C2×C42×C73C2311yescharacteristic
309C2×C42×C73C2311yescharacteristic
310C2×C42×C73C2311yescharacteristic
311#95×C73C2311yescharacteristic
312#95×C73C2311yescharacteristic
313#95×C73C2311yescharacteristic
314#95×C73C2311yescharacteristic
315#95×C73C2311yescharacteristic
316#95×C73C2311yescharacteristic
317#95×C73C2311yescharacteristic
318#95×C73C2311yescharacteristic
319#95×C73C2311yescharacteristic
320#95×C73C2311yescharacteristic
321#95×C73C2311yescharacteristic
322#95×C73C2311yescharacteristic
323#95×C73C2311yescharacteristic
324#95×C73C2311yescharacteristic
325#95×C73C2311yescharacteristic
326#95×C73C2311yescharacteristic
327#95×C73C2311yescharacteristic
328#95×C73C2311yescharacteristic
329#95×C73C2311yescharacteristic
330#95×C73C2311yescharacteristic
331#95×C73C2311yescharacteristic
332#95×C73C2311yescharacteristic
333#95×C73C2311yescharacteristic
334#95×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
357C24×C73—22no—
358C24×C73—22no—
359C24×C73—22no—
360C24×C73—41no—
361C24×C73—41no—
362C24×C73—41no—
363C24×C73—41no—
364C24×C73C2411yescharacteristic
365C24×C73C2411yescharacteristic
366C24×C73C2411yescharacteristic
367C24×C73C2411yescharacteristic
368C2×D4×C73—22no—
369C2×D4×C73—22no—
370C2×D4×C73—22no—
371C2×D4×C73—22no—
372C2×D4×C73—22no—
373C2×D4×C73—41no—
374C2×D4×C73—41no—
375C2×D4×C73—41no—
376C2×D4×C73—41no—
377C22×C4×C73—22no—
378C22×C4×C73—22no—
379C22×C4×C73—22no—
380C22×C4×C73—22no—
381C22×C4×C73—22no—
382C22×C4×C73—22no—
383C22×C4×C73—22no—
384C22×C4×C73—22no—
385C22×C4×C73—22no—
386C22×C4×C73—22no—
387C22×C4×C73—41no—
388C22×C4×C73—41no—
389C22×C4×C73—41no—
390C22×C4×C73—41no—
391C22×C4×C73—41no—
392C22×C4×C73—41no—
393C22×C4×C73—41no—
394C22×C4×C73—41no—
395C22×C4×C73—41no—
396C22×C4×C73—41no—
397C22×C4×C73—41no—
398C22×C4×C73C2411yescharacteristic
399C22×C4×C73C2411yescharacteristic
400C22×C4×C73C2411yescharacteristic
401C22×C4×C73C2411yescharacteristic
402C22×C4×C73C2411yescharacteristic
403C22×C4×C73C2411yescharacteristic
404C22×C4×C73C2411yescharacteristic
405C22×C4×C73C2411yescharacteristic
406C22×C4×C73C2411yescharacteristic
407C22×C4×C73C2411yescharacteristic
408C22×C4×C73C2411yescharacteristic
409C22×C4×C73C2411yescharacteristic
410C22×C4×C73C2411yescharacteristic
411C22×C4×C73C2411yescharacteristic
412C22×C4×C73C2411yescharacteristic
413C22×C4×C73C2411yescharacteristic
414C22×C4×C73C2411yescharacteristic
415C22×C4×C73C2411yescharacteristic
416C22×C4×C73C2411yescharacteristic
417C22×C4×C73C2411yescharacteristic
418C22×C4×C73C2411yescharacteristic
419C22×C4×C73C2411yescharacteristic
420C22×C4×C73C2411yescharacteristic
421C22×C4×C73C2411yescharacteristic
422C22×C4×C73C2411yescharacteristic
423C22×C4×C73C2411yescharacteristic
424C22×C4×C73C2411yescharacteristic
425C4⋊C4×C73—22no—
426C4⋊C4×C73—22no—
427C4⋊C4×C73—22no—
428C4⋊C4×C73—22no—
429C4⋊C4×C73—22no—
430C4⋊C4×C73—22no—
431C4⋊C4×C73—22no—
432C4⋊C4×C73—22no—
433C4⋊C4×C73—22no—
434C4⋊C4×C73—22no—
435C4⋊C4×C73—22no—
436C4⋊C4×C73—22no—
437C4⋊C4×C73—22no—
438C4⋊C4×C73—22no—
439C4⋊C4×C73—22no—
440C4⋊C4×C73—22no—
441C4⋊C4×C73—41no—
442C4⋊C4×C73—41no—
443C4⋊C4×C73—41no—
444C4⋊C4×C73—41no—
445C4⋊C4×C73—41no—
446C4⋊C4×C73—41no—
447C4⋊C4×C73—41no—
448C4⋊C4×C73—41no—
449C4⋊C4×C73—41no—
450C4⋊C4×C73—41no—
451C4⋊C4×C73—41no—
452C4⋊C4×C73—41no—
453C4⋊C4×C73—41no—
454C4⋊C4×C73—41no—
455C4⋊C4×C73—41no—
456C4⋊C4×C73—41no—
457C4⋊C4×C73—41no—
458C4⋊C4×C73—41no—
459C4⋊C4×C73—41no—
460C22⋊C4×C73—22no—
461C22⋊C4×C73—22no—
462C22⋊C4×C73—22no—
463C22⋊C4×C73—22no—
464C22⋊C4×C73—22no—
465C22⋊C4×C73—22no—
466C22⋊C4×C73—22no—
467C22⋊C4×C73—22no—
468C22⋊C4×C73—22no—
469C22⋊C4×C73—22no—
470C22⋊C4×C73—22no—
471C22⋊C4×C73—22no—
472C22⋊C4×C73—22no—
473C22⋊C4×C73—22no—
474C22⋊C4×C73—22no—
475C22⋊C4×C73—22no—
476C22⋊C4×C73—22no—
477C22⋊C4×C73—22no—
478C22⋊C4×C73—22no—
479C22⋊C4×C73—22no—
480C22⋊C4×C73—41no—
481C22⋊C4×C73—41no—
482C22⋊C4×C73—41no—
483C22⋊C4×C73—41no—
484C22⋊C4×C73—41no—
485C22⋊C4×C73—41no—
486C22⋊C4×C73—41no—
487C22⋊C4×C73—41no—
488C22⋊C4×C73—41no—
489C22⋊C4×C73—41no—
490C22⋊C4×C73—41no—
491C22⋊C4×C73—41no—
492C22⋊C4×C73—41no—
493C22⋊C4×C73—41no—
494C22⋊C4×C73—41no—
495C22⋊C4×C73—41no—
496C22⋊C4×C73—41no—
497C22⋊C4×C73—41no—
498C22⋊C4×C73—41no—
499C22⋊C4×C73—41no—
500C22⋊C4×C73—41no—
501C22⋊C4×C73#4114yes—
502C22⋊C4×C73#4114yes—
503C22⋊C4×C73#4114yes—
504C42×C73—22no—
505C42×C73—22no—
506C42×C73—22no—
507C42×C73—22no—
508C42×C73—22no—
509C42×C73—22no—
510C42×C73—22no—
511C42×C73—22no—
512C42×C73—22no—
513C42×C73—41no—
514C42×C73—41no—
515C42×C73—41no—
516C42×C73—41no—
517C42×C73—41no—
518C42×C73—41no—
519C42×C73—41no—
520C42×C73—41no—
521C42×C73—41no—
522C42×C73—41no—
523C23×C73—21no—
524C23×C73—21no—
525C23×C73—21no—
526C23×C73—21no—
527C23×C73—21no—
528C23×C73—21no—
529C23×C73—21no—
530C23×C73—21no—
531C23×C73—21no—
532C23×C73—21no—
533C23×C73—21no—
534C23×C73—21no—
535C23×C73—21no—
536C23×C73—21no—
537C23×C73—21no—
538C23×C73—21no—
539C23×C73—21no—
540C23×C73—21no—
541C23×C73—21no—
542C23×C73—21no—
543C23×C73—21no—
544C23×C73—21no—
545C23×C73—21no—
546C23×C73—21no—
547C23×C73—21no—
548C23×C73—44no—
549C23×C73—44no—
550C23×C73—44no—
551C23×C73—82no—
552C23×C73—82no—
553C23×C73—82no—
554C23×C73—82no—
555C23×C73C2×#4112yes—
556C23×C73C2×#4112yes—
557C23×C73C2×#4112yes—
558C23×C73C2511yescharacteristic
559D4×C73—44no—
560D4×C73—44no—
561D4×C73—82no—
562C2×C4×C73—21no—
563C2×C4×C73—21no—
564C2×C4×C73—21no—
565C2×C4×C73—21no—
566C2×C4×C73—21no—
567C2×C4×C73—21no—
568C2×C4×C73—21no—
569C2×C4×C73—21no—
570C2×C4×C73—21no—
571C2×C4×C73—21no—
572C2×C4×C73—21no—
573C2×C4×C73—21no—
574C2×C4×C73—21no—
575C2×C4×C73—21no—
576C2×C4×C73—21no—
577C2×C4×C73—21no—
578C2×C4×C73—21no—
579C2×C4×C73—21no—
580C2×C4×C73—21no—
581C2×C4×C73—21no—
582C2×C4×C73—21no—
583C2×C4×C73—21no—
584C2×C4×C73—21no—
585C2×C4×C73—21no—
586C2×C4×C73—21no—
587C2×C4×C73—21no—
588C2×C4×C73—21no—
589C2×C4×C73—21no—
590C2×C4×C73—21no—
591C2×C4×C73—21no—
592C2×C4×C73—21no—
593C2×C4×C73—21no—
594C2×C4×C73—21no—
595C2×C4×C73—21no—
596C2×C4×C73—21no—
597C2×C4×C73—21no—
598C2×C4×C73—21no—
599C2×C4×C73—21no—
600C2×C4×C73—21no—
601C2×C4×C73—21no—
602C2×C4×C73—21no—
603C2×C4×C73—21no—
604C2×C4×C73—21no—
605C2×C4×C73—21no—
606C2×C4×C73—21no—
607C2×C4×C73—21no—
608C2×C4×C73—21no—
609C2×C4×C73—21no—
610C2×C4×C73—21no—
611C2×C4×C73—21no—
612C2×C4×C73—21no—
613C2×C4×C73—21no—
614C2×C4×C73—21no—
615C2×C4×C73—21no—
616C2×C4×C73—21no—
617C2×C4×C73—21no—
618C2×C4×C73—21no—
619C2×C4×C73—21no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—44no—
637C2×C4×C73—44no—
638C2×C4×C73—44no—
639C2×C4×C73—44no—
640C2×C4×C73—82no—
641C2×C4×C73—82no—
642C2×C4×C73—82no—
643C2×C4×C73C2×#4112yes—
644C2×C4×C73C2×#4112yes—
645C2×C4×C73C2×#4112yes—
646C2×C4×C73C2×#4112yes—
647C2×C4×C73C2×#4112yes—
648C2×C4×C73C2×#4112yes—
649C2×C4×C73H(5,𝔽2)12yes—
650C22×C73—22no—
651C22×C73—22no—
652C22×C73—22no—
653C22×C73—22no—
654C22×C73—22no—
655C22×C73—22no—
656C22×C73—22no—
657C22×C73—22no—
658C22×C73—22no—
659C22×C73—41no—
660C22×C73—41no—
661C22×C73—41no—
662C22×C73—41no—
663C22×C73—41no—
664C22×C73—41no—
665C22×C73—41no—
666C22×C73—41no—
667C22×C73—41no—
668C22×C73—41no—
669C22×C73—41no—
670C22×C73—41no—
671C22×C73—41no—
672C22×C73—41no—
673C22×C73—41no—
674C22×C73—41no—
675C22×C73—41no—
676C22×C73—41no—
677C22×C73—41no—
678C22×C73—88no—
679C22×C73C22×#4111yescharacteristic
680C22×C73C22×#4111yescharacteristic
681C22×C73C22×#4111yescharacteristic
682C22×C73C2×H(5,𝔽2)11yescharacteristic
683C22×C73#58511yescharacteristic
684C22×C73#58511yescharacteristic
685C22×C73#58511yescharacteristic
686C4×C73—22no—
687C4×C73—22no—
688C4×C73—22no—
689C4×C73—22no—
690C4×C73—22no—
691C4×C73—22no—
692C4×C73—22no—
693C4×C73—41no—
694C4×C73—41no—
695C4×C73—41no—
696C4×C73—41no—
697C4×C73—41no—
698C4×C73—41no—
699C4×C73—41no—
700C4×C73—41no—
701C4×C73—41no—
702C4×C73—41no—
703C4×C73—41no—
704C4×C73—41no—
705C4×C73—41no—
706C4×C73—41no—
707C4×C73—41no—
708C4×C73—41no—
709C4×C73—41no—
710C4×C73—41no—
711C4×C73—41no—
712C4×C73—41no—
713#59605C7311yesmaximal, characteristic, direct product factor, Sylow
714C2×C73—42no—
715C2×C73—42no—
716C2×C73—42no—
717C2×C73—81no—
718C2×C73#347511yescharacteristic
719C2×C73#347511yescharacteristic
720C2×C73#348111yescharacteristic
721C2×C73#349411yescharacteristic
722C2×C73#352111yescharacteristic
723C2×C73#352111yescharacteristic
724C2×C73#356211yescharacteristic
725#2790C2×C7311yescharacteristic, complemented
726#2786C2×C7311yescharacteristic, complemented
727#2739C2×C7311yescharacteristic, complemented
728#2685C2×C7311yescharacteristic
729#2611C2×C7311yescharacteristic, complemented
730#2597C2×C7311yescharacteristic, complemented
731#2597C2×C7311yescharacteristic, complemented
732#2578C2×C7311yescharacteristic, complemented
733#2573C2×C7311yescharacteristic, complemented
734#2558C2×C7311yescharacteristic, complemented
735#2531C2×C7311yescharacteristic, complemented
736#2531C2×C7311yescharacteristic, complemented
737#2522C2×C7311yescharacteristic, complemented
738#2497C2×C7311yescharacteristic, complemented
739#2480C2×C7311yescharacteristic, complemented
740#2480C2×C7311yescharacteristic, complemented
741#2478C2×C7311yescharacteristic, complemented
742#2475C2×C7311yescharacteristic, complemented
743#2470C2×C7311yescharacteristic, complemented
744#2468C2×C7311yescharacteristic, complemented
745#2466C2×C7311yescharacteristic, complemented
746#2411C2×C7311yescharacteristic
747#2373C2×C7311yescharacteristic, complemented
748#2373C2×C7311yescharacteristic, complemented
749#2358C2×C7311yescharacteristic
750#2354C2×C7311yescharacteristic, complemented
751#2342C2×C7311yescharacteristic, complemented
752#2342C2×C7311yescharacteristic, complemented
753C4×#126C2×C7311yescharacteristic, complemented
754#2298C2×C7311yescharacteristic, complemented
755#2293C2×C7311yescharacteristic, complemented
756C73#5960511yescharacteristic, direct product factor, Sylow
757C2×#126C22×C7311yescharacteristic
758C2×#126C22×C7311yescharacteristic
759C2×#126C22×C7311yescharacteristic
760C2×#125C22×C7311yescharacteristic, complemented
761C2×#123C22×C7311yescharacteristic
762C2×#120C22×C7311yescharacteristic
763C2×C4×D4C22×C7311yescharacteristic
764C2×C4×D4C22×C7311yescharacteristic
765C2×#117C22×C7311yescharacteristic
766C2×#117C22×C7311yescharacteristic
767C2×#117C22×C7311yescharacteristic
768C2×#117C22×C7311yescharacteristic, complemented
769C22×C22⋊C4C22×C7311yescharacteristic
770C22×C22⋊C4C22×C7311yescharacteristic
771C22×C22⋊C4C22×C7311yescharacteristic
772#400C22×C7311yescharacteristic, complemented
773#400C22×C7311yescharacteristic, complemented
774#400C22×C7311yescharacteristic, complemented
775#400C22×C7311yescharacteristic, complemented
776#400C22×C7311yescharacteristic, complemented
777#399C22×C7311yescharacteristic
778#398C22×C7311yescharacteristic, complemented
779#398C22×C7311yescharacteristic, complemented
780#398C22×C7311yescharacteristic, complemented
781#398C22×C7311yescharacteristic, complemented
782#398C22×C7311yescharacteristic, complemented
783#397C22×C7311yescharacteristic
784#397C22×C7311yescharacteristic
785#397C22×C7311yescharacteristic
786#397C22×C7311yescharacteristic
787#397C22×C7311yescharacteristic
788#397C22×C7311yescharacteristic
789#397C22×C7311yescharacteristic, complemented
790#397C22×C7311yescharacteristic, complemented
791#397C22×C7311yescharacteristic, complemented
792#396C22×C7311yescharacteristic
793#396C22×C7311yescharacteristic
794#396C22×C7311yescharacteristic
795#396C22×C7311yescharacteristic
796#396C22×C7311yescharacteristic
797#396C22×C7311yescharacteristic, complemented
798#394C22×C7311yescharacteristic
799#394C22×C7311yescharacteristic
800#394C22×C7311yescharacteristic
801#394C22×C7311yescharacteristic
802#394C22×C7311yescharacteristic
803#394C22×C7311yescharacteristic
804#390C22×C7311yescharacteristic
805#390C22×C7311yescharacteristic
806#390C22×C7311yescharacteristic
807#390C22×C7311yescharacteristic
808#390C22×C7311yescharacteristic
809#389C22×C7311yescharacteristic, complemented
810#389C22×C7311yescharacteristic, complemented
811#389C22×C7311yescharacteristic, complemented
812#389C22×C7311yescharacteristic, complemented
813#389C22×C7311yescharacteristic, complemented
814#389C22×C7311yescharacteristic, complemented
815#389C22×C7311yescharacteristic, complemented
816#388C22×C7311yescharacteristic
817#388C22×C7311yescharacteristic
818#388C22×C7311yescharacteristic
819#388C22×C7311yescharacteristic
820#388C22×C7311yescharacteristic
821#388C22×C7311yescharacteristic
822#388C22×C7311yescharacteristic
823#388C22×C7311yescharacteristic
824#388C22×C7311yescharacteristic
825#388C22×C7311yescharacteristic
826#388C22×C7311yescharacteristic
827#388C22×C7311yescharacteristic
828#388C22×C7311yescharacteristic
829#388C22×C7311yescharacteristic
830#388C22×C7311yescharacteristic
831#388C22×C7311yescharacteristic
832#388C22×C7311yescharacteristic
833#388C22×C7311yescharacteristic
834#388C22×C7311yescharacteristic
835#388C22×C7311yescharacteristic
836#388C22×C7311yescharacteristic
837#388C22×C7311yescharacteristic, complemented
838#388C22×C7311yescharacteristic, complemented
839#388C22×C7311yescharacteristic, complemented
840#388C22×C7311yescharacteristic, complemented
841#388C22×C7311yescharacteristic, complemented
842#388C22×C7311yescharacteristic, complemented
843#388C22×C7311yescharacteristic, complemented
844#388C22×C7311yescharacteristic, complemented
845#387C22×C7311yescharacteristic, complemented
846#387C22×C7311yescharacteristic, complemented
847#387C22×C7311yescharacteristic, complemented
848#387C22×C7311yescharacteristic, complemented
849#387C22×C7311yescharacteristic, complemented
850#387C22×C7311yescharacteristic, complemented
851#387C22×C7311yescharacteristic, complemented
852#387C22×C7311yescharacteristic, complemented
853#387C22×C7311yescharacteristic, complemented
854#387C22×C7311yescharacteristic, complemented
855#387C22×C7311yescharacteristic, complemented
856#387C22×C7311yescharacteristic, complemented
857#387C22×C7311yescharacteristic, complemented
858#387C22×C7311yescharacteristic, complemented
859#387C22×C7311yescharacteristic, complemented
860#387C22×C7311yescharacteristic, complemented
861#387C22×C7311yescharacteristic, complemented
862#386C22×C7311yescharacteristic
863#386C22×C7311yescharacteristic
864#386C22×C7311yescharacteristic
865#386C22×C7311yescharacteristic
866#385C22×C7311yescharacteristic
867#385C22×C7311yescharacteristic
868#385C22×C7311yescharacteristic
869#385C22×C7311yescharacteristic
870#385C22×C7311yescharacteristic
871#385C22×C7311yescharacteristic
872#385C22×C7311yescharacteristic
873#385C22×C7311yescharacteristic
874#385C22×C7311yescharacteristic
875#385C22×C7311yescharacteristic
876#385C22×C7311yescharacteristic
877#385C22×C7311yescharacteristic, complemented
878#384C22×C7311yescharacteristic, complemented
879#383C22×C7311yescharacteristic, complemented
880#381C22×C7311yescharacteristic
881#381C22×C7311yescharacteristic
882#380C22×C7311yescharacteristic
883#380C22×C7311yescharacteristic
884#380C22×C7311yescharacteristic
885#380C22×C7311yescharacteristic
886#380C22×C7311yescharacteristic, complemented
887#379C22×C7311yescharacteristic
888#379C22×C7311yescharacteristic
889#379C22×C7311yescharacteristic
890C4×C4⋊C4C22×C7311yescharacteristic, complemented
891C4×C4⋊C4C22×C7311yescharacteristic, complemented
892C4×C4⋊C4C22×C7311yescharacteristic, complemented
893C4×C4⋊C4C22×C7311yescharacteristic, complemented
894C4×C4⋊C4C22×C7311yescharacteristic, complemented
895C4×C4⋊C4C22×C7311yescharacteristic, complemented
896C4×C4⋊C4C22×C7311yescharacteristic, complemented
897C4×C4⋊C4C22×C7311yescharacteristic, complemented
898C4×C22⋊C4C22×C7311yescharacteristic
899C4×C22⋊C4C22×C7311yescharacteristic
900C4×C22⋊C4C22×C7311yescharacteristic
901C4×C22⋊C4C22×C7311yescharacteristic
902C4×C22⋊C4C22×C7311yescharacteristic
903C4×C22⋊C4C22×C7311yescharacteristic
904C4×C22⋊C4C22×C7311yescharacteristic
905C4×C22⋊C4C22×C7311yescharacteristic
906C4×C22⋊C4C22×C7311yescharacteristic
907C4×C22⋊C4C22×C7311yescharacteristic
908C4×C22⋊C4C22×C7311yescharacteristic, complemented
909#376C22×C7311yescharacteristic, complemented
910#376C22×C7311yescharacteristic, complemented
911C43C22×C7311yescharacteristic, complemented
912C25C23×C7311yescharacteristic
913C22×D4C23×C7311yescharacteristic
914C22×D4C23×C7311yescharacteristic
915C22×D4C23×C7311yescharacteristic
916C23×C4C23×C7311yescharacteristic
917C23×C4C23×C7311yescharacteristic
918C23×C4C23×C7311yescharacteristic
919C23×C4C23×C7311yescharacteristic
920C23×C4C23×C7311yescharacteristic
921C23×C4C23×C7311yescharacteristic
922C23×C4C23×C7311yescharacteristic
923#126—24no—
924#126—24no—
925#126—24no—
926#125—42no—
927#123—42no—
928#120—24no—
929C4×D4—24no—
930C4×D4—24no—
931#117—24no—
932#117—42no—
933#117—42no—
934#117—42no—
935C2×C4⋊C4C23×C7311yescharacteristic
936C2×C4⋊C4C23×C7311yescharacteristic
937C2×C4⋊C4C23×C7311yescharacteristic
938C2×C4⋊C4C23×C7311yescharacteristic
939C2×C4⋊C4C23×C7311yescharacteristic
940C2×C4⋊C4C23×C7311yescharacteristic
941C2×C4⋊C4C23×C7311yescharacteristic
942C2×C4⋊C4C23×C7311yescharacteristic
943C2×C4⋊C4C23×C7311yescharacteristic
944C2×C4⋊C4C23×C7311yescharacteristic
945C2×C4⋊C4C23×C7311yescharacteristic
946C2×C4⋊C4C23×C7311yescharacteristic
947C2×C4⋊C4C23×C7311yescharacteristic
948C2×C4⋊C4C23×C7311yescharacteristic
949C2×C4⋊C4C23×C7311yescharacteristic
950C2×C4⋊C4C23×C7311yescharacteristic
951C2×C4⋊C4C23×C7311yescharacteristic
952C2×C4⋊C4C23×C7311yescharacteristic
953C2×C4⋊C4C23×C7311yescharacteristic
954C2×C4⋊C4C23×C7311yescharacteristic
955C2×C4⋊C4C23×C7311yescharacteristic
956C2×C4⋊C4C23×C7311yescharacteristic
957C2×C4⋊C4C23×C7311yescharacteristic
958C2×C4⋊C4C23×C7311yescharacteristic
959C2×C4⋊C4C23×C7311yescharacteristic
960C2×C4⋊C4C23×C7311yescharacteristic
961C2×C4⋊C4C23×C7311yescharacteristic
962C2×C4⋊C4C23×C7311yescharacteristic
963C2×C4⋊C4C23×C7311yescharacteristic
964C2×C4⋊C4C23×C7311yescharacteristic
965C2×C4⋊C4C23×C7311yescharacteristic
966C2×C4⋊C4C23×C7311yescharacteristic
967C2×C4⋊C4C23×C7311yescharacteristic
968C2×C4⋊C4C23×C7311yescharacteristic
969C2×C4⋊C4C23×C7311yescharacteristic
970C2×C22⋊C4—24no—
971C2×C22⋊C4—24no—
972C2×C22⋊C4—42no—
973C2×C22⋊C4C23×C7311yescharacteristic
974C2×C22⋊C4C23×C7311yescharacteristic
975C2×C22⋊C4C23×C7311yescharacteristic
976C2×C22⋊C4C23×C7311yescharacteristic
977C2×C22⋊C4C23×C7311yescharacteristic
978C2×C22⋊C4C23×C7311yescharacteristic
979C2×C22⋊C4C23×C7311yescharacteristic
980C2×C22⋊C4C23×C7311yescharacteristic
981C2×C22⋊C4C23×C7311yescharacteristic
982C2×C22⋊C4C23×C7311yescharacteristic
983C2×C22⋊C4C23×C7311yescharacteristic
984C2×C22⋊C4C23×C7311yescharacteristic
985C2×C22⋊C4C23×C7311yescharacteristic
986C2×C22⋊C4C23×C7311yescharacteristic
987C2×C22⋊C4C23×C7311yescharacteristic
988C2×C22⋊C4C23×C7311yescharacteristic
989C2×C22⋊C4C23×C7311yescharacteristic
990C2×C22⋊C4C23×C7311yescharacteristic
991C2×C22⋊C4C23×C7311yescharacteristic
992C2×C22⋊C4C23×C7311yescharacteristic
993C2×C22⋊C4C23×C7311yescharacteristic
994C2×C22⋊C4C23×C7311yescharacteristic
995C2×C22⋊C4C23×C7311yescharacteristic
996C2×C22⋊C4C23×C7311yescharacteristic
997C2×C22⋊C4C23×C7311yescharacteristic
998C2×C22⋊C4C23×C7311yescharacteristic
999C2×C22⋊C4C23×C7311yescharacteristic
1000C2×C22⋊C4C23×C7311yescharacteristic
1001C2×C22⋊C4C23×C7311yescharacteristic
1002C2×C22⋊C4C23×C7311yescharacteristic
1003C2×C22⋊C4C23×C7311yescharacteristic
1004C2×C22⋊C4C23×C7311yescharacteristic
1005C2×C22⋊C4C23×C7311yescharacteristic
1006C2×C22⋊C4C23×C7311yescharacteristic
1007C2×C22⋊C4C23×C7311yescharacteristic
1008C2×C22⋊C4C23×C7311yescharacteristic
1009C2×C22⋊C4C23×C7311yescharacteristic
1010C2×C22⋊C4C23×C7311yescharacteristic
1011C2×C22⋊C4C23×C7311yescharacteristic
1012C2×C22⋊C4C23×C7311yescharacteristic
1013C2×C22⋊C4C23×C7311yescharacteristic
1014C2×C22⋊C4C23×C7311yescharacteristic
1015C2×C22⋊C4C23×C7311yescharacteristic
1016C2×C22⋊C4C23×C7311yescharacteristic
1017C2×C42C23×C7311yescharacteristic
1018C2×C42C23×C7311yescharacteristic
1019C2×C42C23×C7311yescharacteristic
1020C2×C42C23×C7311yescharacteristic
1021C2×C42C23×C7311yescharacteristic
1022C2×C42C23×C7311yescharacteristic
1023C2×C42C23×C7311yescharacteristic
1024C2×C42C23×C7311yescharacteristic
1025C2×C42C23×C7311yescharacteristic
1026C2×C42C23×C7311yescharacteristic
1027C2×C42C23×C7311yescharacteristic
1028C2×C42C23×C7311yescharacteristic
1029C2×C42C23×C7311yescharacteristic
1030C2×C42C23×C7311yescharacteristic
1031C2×C42C23×C7311yescharacteristic
1032C2×C42C23×C7311yescharacteristic
1033C2×C42C23×C7311yescharacteristic
1034C2×C42C23×C7311yescharacteristic
1035C2×C42C23×C7311yescharacteristic
1036#95C23×C7311yescharacteristic
1037#95C23×C7311yescharacteristic
1038#95C23×C7311yescharacteristic
1039#95C23×C7311yescharacteristic
1040#95C23×C7311yescharacteristic
1041#95C23×C7311yescharacteristic
1042#95C23×C7311yescharacteristic
1043#95C23×C7311yescharacteristic
1044#95C23×C7311yescharacteristic
1045#95C23×C7311yescharacteristic
1046#95C23×C7311yescharacteristic
1047#95C23×C7311yescharacteristic
1048#95C23×C7311yescharacteristic
1049#95C23×C7311yescharacteristic
1050#95C23×C7311yescharacteristic
1051#95C23×C7311yescharacteristic
1052#95C23×C7311yescharacteristic
1053#95C23×C7311yescharacteristic
1054#95C23×C7311yescharacteristic
1055#95C23×C7311yescharacteristic
1056#95C23×C7311yescharacteristic
1057#95C23×C7311yescharacteristic
1058#95C23×C7311yescharacteristic
1059#95C23×C7311yescharacteristic
1060#95C23×C7311yescharacteristic
1061#95C23×C7311yescharacteristic
1062#95C23×C7311yescharacteristic
1063#95C23×C7311yescharacteristic
1064#95C23×C7311yescharacteristic
1065#95C23×C7311yescharacteristic
1066#95C23×C7311yescharacteristic
1067#95C23×C7311yescharacteristic
1068#95C23×C7311yescharacteristic
1069#95C23×C7311yescharacteristic
1070#95C23×C7311yescharacteristic
1071#95C23×C7311yescharacteristic
1072#95C23×C7311yescharacteristic
1073#95C23×C7311yescharacteristic
1074#95C23×C7311yescharacteristic
1075#95C23×C7311yescharacteristic
1076#95C23×C7311yescharacteristic
1077#95C23×C7311yescharacteristic
1078#95C23×C7311yescharacteristic
1079#95C23×C7311yescharacteristic
1080#95C23×C7311yescharacteristic
1081#95C23×C7311yescharacteristic
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—41no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24C24×C7311yescharacteristic
1090C24C24×C7311yescharacteristic
1091C24C24×C7311yescharacteristic
1092C24C24×C7311yescharacteristic
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4C24×C7311yescharacteristic
1124C22×C4C24×C7311yescharacteristic
1125C22×C4C24×C7311yescharacteristic
1126C22×C4C24×C7311yescharacteristic
1127C22×C4C24×C7311yescharacteristic
1128C22×C4C24×C7311yescharacteristic
1129C22×C4C24×C7311yescharacteristic
1130C22×C4C24×C7311yescharacteristic
1131C22×C4C24×C7311yescharacteristic
1132C22×C4C24×C7311yescharacteristic
1133C22×C4C24×C7311yescharacteristic
1134C22×C4C24×C7311yescharacteristic
1135C22×C4C24×C7311yescharacteristic
1136C22×C4C24×C7311yescharacteristic
1137C22×C4C24×C7311yescharacteristic
1138C22×C4C24×C7311yescharacteristic
1139C22×C4C24×C7311yescharacteristic
1140C22×C4C24×C7311yescharacteristic
1141C22×C4C24×C7311yescharacteristic
1142C22×C4C24×C7311yescharacteristic
1143C22×C4C24×C7311yescharacteristic
1144C22×C4C24×C7311yescharacteristic
1145C22×C4C24×C7311yescharacteristic
1146C22×C4C24×C7311yescharacteristic
1147C22×C4C24×C7311yescharacteristic
1148C22×C4C24×C7311yescharacteristic
1149C22×C4C24×C7311yescharacteristic
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4#41×C7314yes—
1227C22⋊C4#41×C7314yes—
1228C22⋊C4#41×C7314yes—
1229C42—22no—
1230C42—22no—
1231C42—22no—
1232C42—22no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—82no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23C2×#41×C7312yes—
1281C23C2×#41×C7312yes—
1282C23C2×#41×C7312yes—
1283C23C25×C7311yescharacteristic
1284D4—44no—
1285D4—44no—
1286D4—82no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—44no—
1362C2×C4—44no—
1363C2×C4—44no—
1364C2×C4—44no—
1365C2×C4—82no—
1366C2×C4—82no—
1367C2×C4—82no—
1368C2×C4C2×#41×C7312yes—
1369C2×C4C2×#41×C7312yes—
1370C2×C4C2×#41×C7312yes—
1371C2×C4C2×#41×C7312yes—
1372C2×C4C2×#41×C7312yes—
1373C2×C4C2×#41×C7312yes—
1374C2×C4H(5,𝔽2)×C7312yes—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—88no—
1404C22C22×#41×C7311yescharacteristic
1405C22C22×#41×C7311yescharacteristic
1406C22C22×#41×C7311yescharacteristic
1407C22C2×H(5,𝔽2)×C7311yescharacteristic
1408C22#585×C7311yescharacteristic
1409C22#585×C7311yescharacteristic
1410C22#585×C7311yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C2—42no—
1439C2—42no—
1440C2—42no—
1441C2—81no—
1442C2C73×#347511yescharacteristic
1443C2C73×#347511yescharacteristic
1444C2C73×#348111yescharacteristic
1445C2C73×#349411yescharacteristic
1446C2C73×#352111yescharacteristic
1447C2C73×#352111yescharacteristic
1448C2C73×#356211yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC2×#120×C73C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2790C2semidirect
2. C73×#2786C2semidirect
3. C73×#2739C2semidirect
5. C73×#2611C2semidirect
6. C73×#2597C2semidirect
7. C73×#2597C2semidirect
8. C73×#2578C2semidirect
9. C73×#2573C2semidirect
10. C73×#2558C2semidirect
11. C73×#2531C2semidirect
12. C73×#2531C2semidirect
13. C73×#2522C2semidirect
14. C73×#2497C2semidirect
15. C73×#2480C2semidirect
16. C73×#2480C2semidirect
17. C73×#2478C2semidirect
18. C73×#2475C2semidirect
19. C73×#2470C2semidirect
20. C73×#2468C2semidirect
21. C73×#2466C2semidirect
23. C73×#2373C2semidirect
24. C73×#2373C2semidirect
26. C73×#2354C2semidirect
27. C73×#2342C2semidirect
28. C73×#2342C2semidirect
29. C4×#126×C73C2semidirect
30. C73×#2298C2semidirect
31. C73×#2293C2semidirect
35. C2×#125×C73C22semidirect
43. C2×#117×C73C22semidirect
47. #400×C73C22semidirect
48. #400×C73C22semidirect
49. #400×C73C22semidirect
50. #400×C73C22semidirect
51. #400×C73C22semidirect
53. #398×C73C22semidirect
54. #398×C73C22semidirect
55. #398×C73C22semidirect
56. #398×C73C22semidirect
57. #398×C73C22semidirect
64. #397×C73C22semidirect
65. #397×C73C22semidirect
66. #397×C73C22semidirect
72. #396×C73C22semidirect
84. #389×C73C22semidirect
85. #389×C73C22semidirect
86. #389×C73C22semidirect
87. #389×C73C22semidirect
88. #389×C73C22semidirect
89. #389×C73C22semidirect
90. #389×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. #387×C73C22semidirect
121. #387×C73C22semidirect
122. #387×C73C22semidirect
123. #387×C73C22semidirect
124. #387×C73C22semidirect
125. #387×C73C22semidirect
126. #387×C73C22semidirect
127. #387×C73C22semidirect
128. #387×C73C22semidirect
129. #387×C73C22semidirect
130. #387×C73C22semidirect
131. #387×C73C22semidirect
132. #387×C73C22semidirect
133. #387×C73C22semidirect
134. #387×C73C22semidirect
135. #387×C73C22semidirect
136. #387×C73C22semidirect
152. #385×C73C22semidirect
153. #384×C73C22semidirect
154. #383×C73C22semidirect
161. #380×C73C22semidirect
165. C4×C4⋊C4×C73C22semidirect
166. C4×C4⋊C4×C73C22semidirect
167. C4×C4⋊C4×C73C22semidirect
168. C4×C4⋊C4×C73C22semidirect
169. C4×C4⋊C4×C73C22semidirect
170. C4×C4⋊C4×C73C22semidirect
171. C4×C4⋊C4×C73C22semidirect
172. C4×C4⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. #376×C73C22semidirect
185. #376×C73C22semidirect
186. C43×C73C22semidirect
713. #59605C73direct (N × H)
725. #2790C2×C73semidirect
726. #2786C2×C73semidirect
727. #2739C2×C73semidirect
729. #2611C2×C73semidirect
730. #2597C2×C73semidirect
731. #2597C2×C73semidirect
732. #2578C2×C73semidirect
733. #2573C2×C73semidirect
734. #2558C2×C73semidirect
735. #2531C2×C73semidirect
736. #2531C2×C73semidirect
737. #2522C2×C73semidirect
738. #2497C2×C73semidirect
739. #2480C2×C73semidirect
740. #2480C2×C73semidirect
741. #2478C2×C73semidirect
742. #2475C2×C73semidirect
743. #2470C2×C73semidirect
744. #2468C2×C73semidirect
745. #2466C2×C73semidirect
747. #2373C2×C73semidirect
748. #2373C2×C73semidirect
750. #2354C2×C73semidirect
751. #2342C2×C73semidirect
752. #2342C2×C73semidirect
753. C4×#126C2×C73semidirect
754. #2298C2×C73semidirect
755. #2293C2×C73semidirect
756. C73#59605direct (N × H)
760. C2×#125C22×C73semidirect
768. C2×#117C22×C73semidirect
772. #400C22×C73semidirect
773. #400C22×C73semidirect
774. #400C22×C73semidirect
775. #400C22×C73semidirect
776. #400C22×C73semidirect
778. #398C22×C73semidirect
779. #398C22×C73semidirect
780. #398C22×C73semidirect
781. #398C22×C73semidirect
782. #398C22×C73semidirect
789. #397C22×C73semidirect
790. #397C22×C73semidirect
791. #397C22×C73semidirect
797. #396C22×C73semidirect
809. #389C22×C73semidirect
810. #389C22×C73semidirect
811. #389C22×C73semidirect
812. #389C22×C73semidirect
813. #389C22×C73semidirect
814. #389C22×C73semidirect
815. #389C22×C73semidirect
837. #388C22×C73semidirect
838. #388C22×C73semidirect
839. #388C22×C73semidirect
840. #388C22×C73semidirect
841. #388C22×C73semidirect
842. #388C22×C73semidirect
843. #388C22×C73semidirect
844. #388C22×C73semidirect
845. #387C22×C73semidirect
846. #387C22×C73semidirect
847. #387C22×C73semidirect
848. #387C22×C73semidirect
849. #387C22×C73semidirect
850. #387C22×C73semidirect
851. #387C22×C73semidirect
852. #387C22×C73semidirect
853. #387C22×C73semidirect
854. #387C22×C73semidirect
855. #387C22×C73semidirect
856. #387C22×C73semidirect
857. #387C22×C73semidirect
858. #387C22×C73semidirect
859. #387C22×C73semidirect
860. #387C22×C73semidirect
861. #387C22×C73semidirect
877. #385C22×C73semidirect
878. #384C22×C73semidirect
879. #383C22×C73semidirect
886. #380C22×C73semidirect
890. C4×C4⋊C4C22×C73semidirect
891. C4×C4⋊C4C22×C73semidirect
892. C4×C4⋊C4C22×C73semidirect
893. C4×C4⋊C4C22×C73semidirect
894. C4×C4⋊C4C22×C73semidirect
895. C4×C4⋊C4C22×C73semidirect
896. C4×C4⋊C4C22×C73semidirect
897. C4×C4⋊C4C22×C73semidirect
908. C4×C22⋊C4C22×C73semidirect
909. #376C22×C73semidirect
910. #376C22×C73semidirect
911. C43C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#27902
C73×#27862
C73×#27392
C73×#26852
C73×#26112
C73×#25972
C73×#25782
C73×#25732
C73×#25582
C73×#25312
C73×#25222
C73×#24972
C73×#24802
C73×#24782
C73×#24752
C73×#24702
C73×#24682
C73×#24662
C73×#24112
C73×#23732
C73×#23582
C73×#23542
C73×#23422
C4×#126×C732
C73×#22982
C73×#22932
#5960573