Finite Group Databasebeta

← C73×#59942 #32969346

Subgroups — C73×#59942 #32969346

Order 18688.

2076 conjugacy classes of subgroups.

The subgroup lattice has 1548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2796C211yesmaximal, characteristic, complemented
2C73×#2786C211yesmaximal, characteristic, complemented
3C73×#2747C211yesmaximal, characteristic, complemented
4C73×#2735C211yesmaximal, characteristic, complemented
5C73×#2601C211yesmaximal, characteristic, complemented
6C73×#2597C211yesmaximal, characteristic, complemented
7C73×#2579C211yesmaximal, characteristic, complemented
8C73×#2531C211yesmaximal, characteristic, complemented
9C73×#2530C211yesmaximal, characteristic, complemented
10C73×#2526C211yesmaximal, characteristic, complemented
11C73×#2522C211yesmaximal, characteristic, complemented
12C73×#2516C211yesmaximal, characteristic, complemented
13C73×#2487C211yesmaximal, characteristic, complemented
14C73×#2482C211yesmaximal, characteristic, complemented
15C73×#2482C211yesmaximal, characteristic, complemented
16C73×#2480C211yesmaximal, characteristic, complemented
17C73×#2480C211yesmaximal, characteristic, complemented
18C73×#2480C211yesmaximal, characteristic, complemented
19C73×#2479C211yesmaximal, characteristic, complemented
20C73×#2419C211yesmaximal, characteristic, complemented
21C73×#2419C211yesmaximal, characteristic, complemented
22C73×#2405C211yesmaximal, characteristic
23C73×#2373C211yesmaximal, characteristic, complemented
24C73×#2359C211yesmaximal, characteristic, complemented
25C73×#2359C211yesmaximal, characteristic, complemented
26C73×#2342C211yesmaximal, characteristic, complemented
27D4×C22⋊C4×C73C211yesmaximal, characteristic
28D4×C22⋊C4×C73C211yesmaximal, characteristic
29C73×#2290C211yesmaximal, characteristic, complemented
30C73×#2290C211yesmaximal, characteristic, complemented
31C2×#388×C73C211yesmaximal, characteristic, complemented
32C23×D4×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic
34C2×#126×C73C2211yescharacteristic, complemented
35C2×#123×C73C2211yescharacteristic
36C2×#123×C73C2211yescharacteristic
37C2×C4×D4×C73C2211yescharacteristic
38C2×C4×D4×C73C2211yescharacteristic
39C2×C4×D4×C73C2211yescharacteristic
40C2×C4×D4×C73C2211yescharacteristic
41C2×#117×C73C2211yescharacteristic, complemented
42C2×#117×C73C2211yescharacteristic, complemented
43C2×#117×C73C2211yescharacteristic, complemented
44C22×C4⋊C4×C73C2211yescharacteristic, complemented
45C22×C22⋊C4×C73C2211yescharacteristic
46C22×C22⋊C4×C73C2211yescharacteristic
47C22×C22⋊C4×C73C2211yescharacteristic
48C22×C22⋊C4×C73C2211yescharacteristic
49C22×C22⋊C4×C73C2211yescharacteristic
50C22×C42×C73C2211yescharacteristic, complemented
51#400×C73C2211yescharacteristic, complemented
52#400×C73C2211yescharacteristic, complemented
53#400×C73C2211yescharacteristic, complemented
54#400×C73C2211yescharacteristic, complemented
55#399×C73C2211yescharacteristic
56#399×C73C2211yescharacteristic, complemented
57#399×C73C2211yescharacteristic, complemented
58#399×C73C2211yescharacteristic, complemented
59#398×C73C2211yescharacteristic, complemented
60#398×C73C2211yescharacteristic, complemented
61#398×C73C2211yescharacteristic, complemented
62#398×C73C2211yescharacteristic, complemented
63#397×C73C2211yescharacteristic
64#397×C73C2211yescharacteristic
65#397×C73C2211yescharacteristic
66#397×C73C2211yescharacteristic
67#397×C73C2211yescharacteristic, complemented
68#397×C73C2211yescharacteristic, complemented
69#397×C73C2211yescharacteristic, complemented
70#397×C73C2211yescharacteristic, complemented
71#397×C73C2211yescharacteristic, complemented
72#397×C73C2211yescharacteristic, complemented
73#397×C73C2211yescharacteristic, complemented
74#397×C73C2211yescharacteristic, complemented
75#396×C73C2211yescharacteristic
76#396×C73C2211yescharacteristic, complemented
77#396×C73C2211yescharacteristic, complemented
78#396×C73C2211yescharacteristic, complemented
79#394×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#394×C73C2211yescharacteristic
82#394×C73C2211yescharacteristic
83#390×C73C2211yescharacteristic
84#390×C73C2211yescharacteristic
85#390×C73C2211yescharacteristic
86#390×C73C2211yescharacteristic
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, complemented
101#388×C73C2211yescharacteristic, complemented
102#388×C73C2211yescharacteristic, complemented
103#388×C73C2211yescharacteristic, complemented
104#388×C73C2211yescharacteristic, complemented
105#388×C73C2211yescharacteristic, complemented
106#388×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#387×C73C2211yescharacteristic, complemented
118#387×C73C2211yescharacteristic, complemented
119#387×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#386×C73C2211yescharacteristic
132#386×C73C2211yescharacteristic
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#385×C73C2211yescharacteristic
142#385×C73C2211yescharacteristic
143#385×C73C2211yescharacteristic, complemented
144#385×C73C2211yescharacteristic, complemented
145#385×C73C2211yescharacteristic, complemented
146#385×C73C2211yescharacteristic, complemented
147#385×C73C2211yescharacteristic, complemented
148#385×C73C2211yescharacteristic, complemented
149#385×C73C2211yescharacteristic, complemented
150#385×C73C2211yescharacteristic, complemented
151#385×C73C2211yescharacteristic, complemented
152#385×C73C2211yescharacteristic, complemented
153#385×C73C2211yescharacteristic, complemented
154#385×C73C2211yescharacteristic, complemented
155#381×C73C2211yescharacteristic, complemented
156#381×C73C2211yescharacteristic, complemented
157#381×C73C2211yescharacteristic, complemented
158#380×C73C2211yescharacteristic
159#380×C73C2211yescharacteristic
160#380×C73C2211yescharacteristic, complemented
161#380×C73C2211yescharacteristic, complemented
162#380×C73C2211yescharacteristic, complemented
163#380×C73C2211yescharacteristic, complemented
164#379×C73C2211yescharacteristic
165#379×C73C2211yescharacteristic
166#379×C73C2211yescharacteristic
167#379×C73C2211yescharacteristic
168#379×C73C2211yescharacteristic
169#379×C73C2211yescharacteristic
170#379×C73C2211yescharacteristic
171C4×C4⋊C4×C73C2211yescharacteristic, complemented
172C4×C4⋊C4×C73C2211yescharacteristic, complemented
173C4×C4⋊C4×C73C2211yescharacteristic, complemented
174C4×C4⋊C4×C73C2211yescharacteristic, complemented
175C4×C22⋊C4×C73C2211yescharacteristic
176C4×C22⋊C4×C73C2211yescharacteristic
177C4×C22⋊C4×C73C2211yescharacteristic, complemented
178C4×C22⋊C4×C73C2211yescharacteristic, complemented
179C4×C22⋊C4×C73C2211yescharacteristic, complemented
180C4×C22⋊C4×C73C2211yescharacteristic, complemented
181C4×C22⋊C4×C73C2211yescharacteristic, complemented
182C4×C22⋊C4×C73C2211yescharacteristic, complemented
183#376×C73C2211yescharacteristic, complemented
184#376×C73C2211yescharacteristic, complemented
185C2×#95×C73C2211yescharacteristic, complemented
186C2×#95×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C25×C73C2311yescharacteristic
189C22×D4×C73—24no—
190C22×D4×C73—24no—
191C22×D4×C73—42no—
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C23×C4×C73C2311yescharacteristic
197C23×C4×C73C2311yescharacteristic
198C23×C4×C73C2311yescharacteristic
199C23×C4×C73C2311yescharacteristic
200C23×C4×C73C2311yescharacteristic
201C23×C4×C73C2311yescharacteristic
202C23×C4×C73C2311yescharacteristic
203C23×C4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207#126×C73—24no—
208#126×C73—42no—
209#123×C73—24no—
210#123×C73—24no—
211C4×D4×C73—24no—
212C4×D4×C73—24no—
213C4×D4×C73—42no—
214C4×D4×C73—42no—
215#117×C73—42no—
216#117×C73—42no—
217#117×C73—42no—
218C2×C4⋊C4×C73—42no—
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×C4⋊C4×C73C2311yescharacteristic
246C2×C4⋊C4×C73C2311yescharacteristic
247C2×C4⋊C4×C73C2311yescharacteristic
248C2×C4⋊C4×C73C2311yescharacteristic
249C2×C22⋊C4×C73—24no—
250C2×C22⋊C4×C73—24no—
251C2×C22⋊C4×C73—42no—
252C2×C22⋊C4×C73—42no—
253C2×C22⋊C4×C73—42no—
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×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×C42×C73—42no—
305C2×C42×C73C2311yescharacteristic
306C2×C42×C73C2311yescharacteristic
307C2×C42×C73C2311yescharacteristic
308C2×C42×C73C2311yescharacteristic
309C2×C42×C73C2311yescharacteristic
310C2×C42×C73C2311yescharacteristic
311C2×C42×C73C2311yescharacteristic
312C2×C42×C73C2311yescharacteristic
313C2×C42×C73C2311yescharacteristic
314C2×C42×C73C2311yescharacteristic
315C2×C42×C73C2311yescharacteristic
316C2×C42×C73C2311yescharacteristic
317C2×C42×C73C2311yescharacteristic
318C2×C42×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
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363C24×C73—22no—
364C24×C73—22no—
365C24×C73—22no—
366C24×C73—22no—
367C24×C73—22no—
368C24×C73—22no—
369C24×C73—22no—
370C24×C73—41no—
371C24×C73—41no—
372C24×C73—41no—
373C24×C73—41no—
374C24×C73—41no—
375C24×C73—41no—
376C24×C73—41no—
377C24×C73C2411yescharacteristic
378C24×C73C2411yescharacteristic
379C24×C73C2411yescharacteristic
380C24×C73C2411yescharacteristic
381C24×C73C2411yescharacteristic
382C2×D4×C73—22no—
383C2×D4×C73—22no—
384C2×D4×C73—22no—
385C2×D4×C73—22no—
386C2×D4×C73—22no—
387C2×D4×C73—22no—
388C2×D4×C73—22no—
389C2×D4×C73—22no—
390C2×D4×C73—41no—
391C2×D4×C73—41no—
392C2×D4×C73—416no—
393C2×D4×C73#4114yes—
394C2×D4×C73#4114yes—
395C22×C4×C73—22no—
396C22×C4×C73—22no—
397C22×C4×C73—22no—
398C22×C4×C73—22no—
399C22×C4×C73—22no—
400C22×C4×C73—22no—
401C22×C4×C73—22no—
402C22×C4×C73—22no—
403C22×C4×C73—22no—
404C22×C4×C73—22no—
405C22×C4×C73—22no—
406C22×C4×C73—22no—
407C22×C4×C73—22no—
408C22×C4×C73—22no—
409C22×C4×C73—22no—
410C22×C4×C73—22no—
411C22×C4×C73—22no—
412C22×C4×C73—22no—
413C22×C4×C73—41no—
414C22×C4×C73—41no—
415C22×C4×C73—41no—
416C22×C4×C73—41no—
417C22×C4×C73—41no—
418C22×C4×C73—41no—
419C22×C4×C73—41no—
420C22×C4×C73—41no—
421C22×C4×C73—41no—
422C22×C4×C73—41no—
423C22×C4×C73—41no—
424C22×C4×C73—41no—
425C22×C4×C73—41no—
426C22×C4×C73—41no—
427C22×C4×C73—41no—
428C22×C4×C73C2411yescharacteristic
429C22×C4×C73C2411yescharacteristic
430C22×C4×C73C2411yescharacteristic
431C22×C4×C73C2411yescharacteristic
432C22×C4×C73C2411yescharacteristic
433C22×C4×C73C2411yescharacteristic
434C22×C4×C73C2411yescharacteristic
435C22×C4×C73C2411yescharacteristic
436C22×C4×C73C2411yescharacteristic
437C22×C4×C73C2411yescharacteristic
438C22×C4×C73C2411yescharacteristic
439C22×C4×C73C2411yescharacteristic
440C22×C4×C73C2411yescharacteristic
441C22×C4×C73C2411yescharacteristic
442C22×C4×C73C2411yescharacteristic
443C22×C4×C73C2411yescharacteristic
444C22×C4×C73C2411yescharacteristic
445C22×C4×C73C2411yescharacteristic
446C22×C4×C73C2411yescharacteristic
447C22×C4×C73C2411yescharacteristic
448C22×C4×C73C2411yescharacteristic
449C22×C4×C73C2411yescharacteristic
450C22×C4×C73C2411yescharacteristic
451C22×C4×C73C2411yescharacteristic
452C22×C4×C73C2411yescharacteristic
453C22×C4×C73C2411yescharacteristic
454C4⋊C4×C73—22no—
455C4⋊C4×C73—22no—
456C4⋊C4×C73—22no—
457C4⋊C4×C73—22no—
458C4⋊C4×C73—22no—
459C4⋊C4×C73—22no—
460C4⋊C4×C73—22no—
461C4⋊C4×C73—22no—
462C4⋊C4×C73—22no—
463C4⋊C4×C73—22no—
464C4⋊C4×C73—41no—
465C4⋊C4×C73—41no—
466C4⋊C4×C73—41no—
467C4⋊C4×C73—41no—
468C4⋊C4×C73—41no—
469C4⋊C4×C73—41no—
470C4⋊C4×C73—41no—
471C4⋊C4×C73—41no—
472C4⋊C4×C73—41no—
473C4⋊C4×C73—41no—
474C4⋊C4×C73—41no—
475C4⋊C4×C73—41no—
476C4⋊C4×C73—41no—
477C4⋊C4×C73—41no—
478C4⋊C4×C73—41no—
479C4⋊C4×C73—41no—
480C4⋊C4×C73—41no—
481C4⋊C4×C73—41no—
482C4⋊C4×C73—41no—
483C4⋊C4×C73—41no—
484C22⋊C4×C73—22no—
485C22⋊C4×C73—22no—
486C22⋊C4×C73—22no—
487C22⋊C4×C73—22no—
488C22⋊C4×C73—22no—
489C22⋊C4×C73—22no—
490C22⋊C4×C73—22no—
491C22⋊C4×C73—22no—
492C22⋊C4×C73—22no—
493C22⋊C4×C73—22no—
494C22⋊C4×C73—22no—
495C22⋊C4×C73—22no—
496C22⋊C4×C73—22no—
497C22⋊C4×C73—22no—
498C22⋊C4×C73—22no—
499C22⋊C4×C73—22no—
500C22⋊C4×C73—22no—
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—41no—
508C22⋊C4×C73—41no—
509C22⋊C4×C73—41no—
510C22⋊C4×C73—41no—
511C22⋊C4×C73—41no—
512C22⋊C4×C73—41no—
513C22⋊C4×C73—41no—
514C22⋊C4×C73—41no—
515C22⋊C4×C73—41no—
516C22⋊C4×C73—41no—
517C22⋊C4×C73—41no—
518C22⋊C4×C73—41no—
519C22⋊C4×C73—41no—
520C22⋊C4×C73—41no—
521C22⋊C4×C73—41no—
522C22⋊C4×C73—41no—
523C22⋊C4×C73—41no—
524C22⋊C4×C73—41no—
525C22⋊C4×C73—41no—
526C22⋊C4×C73—41no—
527C22⋊C4×C73—41no—
528C22⋊C4×C73—41no—
529C22⋊C4×C73—41no—
530C22⋊C4×C73—41no—
531C22⋊C4×C73—41no—
532C22⋊C4×C73—41no—
533C22⋊C4×C73#4114yes—
534C42×C73—22no—
535C42×C73—22no—
536C42×C73—22no—
537C42×C73—22no—
538C42×C73—22no—
539C42×C73—22no—
540C42×C73—41no—
541C42×C73—41no—
542C42×C73—41no—
543C42×C73—41no—
544C42×C73—41no—
545C42×C73—41no—
546C42×C73—41no—
547C42×C73—41no—
548C23×C73—21no—
549C23×C73—21no—
550C23×C73—21no—
551C23×C73—21no—
552C23×C73—21no—
553C23×C73—21no—
554C23×C73—21no—
555C23×C73—21no—
556C23×C73—21no—
557C23×C73—21no—
558C23×C73—21no—
559C23×C73—21no—
560C23×C73—21no—
561C23×C73—21no—
562C23×C73—21no—
563C23×C73—21no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73—21no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—44no—
578C23×C73—44no—
579C23×C73—44no—
580C23×C73—44no—
581C23×C73—44no—
582C23×C73—44no—
583C23×C73—44no—
584C23×C73—82no—
585C23×C73—82no—
586C23×C73—82no—
587C23×C73—82no—
588C23×C73—82no—
589C23×C73—82no—
590C23×C73—82no—
591C23×C73C2×#4112yes—
592C23×C73C2×#4112yes—
593C23×C73C2×#4112yes—
594C23×C73C2×#4112yes—
595C23×C73C2×#4112yes—
596C23×C73H(5,𝔽2)12yes—
597C23×C73C2511yescharacteristic
598D4×C73—28no—
599D4×C73—28no—
600D4×C73—44no—
601D4×C73—44no—
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—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
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—44no—
676C2×C4×C73—44no—
677C2×C4×C73—44no—
678C2×C4×C73—44no—
679C2×C4×C73—44no—
680C2×C4×C73—44no—
681C2×C4×C73—44no—
682C2×C4×C73—44no—
683C2×C4×C73—82no—
684C2×C4×C73—82no—
685C2×C4×C73—82no—
686C2×C4×C73C2×#4112yes—
687C2×C4×C73C2×#4112yes—
688C2×C4×C73C2×#4112yes—
689C2×C4×C73C2×#4112yes—
690C2×C4×C73H(5,𝔽2)12yes—
691C22×C73—22no—
692C22×C73—22no—
693C22×C73—22no—
694C22×C73—22no—
695C22×C73—22no—
696C22×C73—22no—
697C22×C73—22no—
698C22×C73—22no—
699C22×C73—22no—
700C22×C73—22no—
701C22×C73—22no—
702C22×C73—22no—
703C22×C73—22no—
704C22×C73—22no—
705C22×C73—22no—
706C22×C73—41no—
707C22×C73—41no—
708C22×C73—41no—
709C22×C73—41no—
710C22×C73—41no—
711C22×C73—41no—
712C22×C73—41no—
713C22×C73—41no—
714C22×C73—41no—
715C22×C73—41no—
716C22×C73—41no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
723C22×C73—41no—
724C22×C73—41no—
725C22×C73—88no—
726C22×C73—88no—
727C22×C73#55114yes—
728C22×C73C22×#4111yescharacteristic
729C22×C73C22×#4111yescharacteristic
730C22×C73C22×#4111yescharacteristic
731C22×C73C2×H(5,𝔽2)11yescharacteristic
732C22×C73C2×H(5,𝔽2)11yescharacteristic
733C22×C73#58511yescharacteristic
734C22×C73#58511yescharacteristic
735C4×C73—22no—
736C4×C73—22no—
737C4×C73—22no—
738C4×C73—22no—
739C4×C73—22no—
740C4×C73—41no—
741C4×C73—41no—
742C4×C73—41no—
743C4×C73—41no—
744C4×C73—41no—
745C4×C73—41no—
746C4×C73—41no—
747C4×C73—41no—
748C4×C73—41no—
749C4×C73—41no—
750C4×C73—41no—
751C4×C73—41no—
752C4×C73—41no—
753C4×C73—41no—
754C4×C73—41no—
755C4×C73—41no—
756C4×C73—41no—
757C4×C73—41no—
758C4×C73—41no—
759C4×C73—41no—
760C4×C73—41no—
761#59942C7311yesmaximal, characteristic, direct product factor, Sylow
762C2×C73—24no—
763C2×C73—42no—
764C2×C73—42no—
765C2×C73—42no—
766C2×C73—81no—
767C2×C73C2×#55111yescharacteristic
768C2×C73#347511yescharacteristic
769C2×C73#348111yescharacteristic
770C2×C73#351311yescharacteristic
771C2×C73#351311yescharacteristic
772C2×C73#352111yescharacteristic
773C2×C73#354211yescharacteristic
774#2796C2×C7311yescharacteristic, complemented
775#2786C2×C7311yescharacteristic, complemented
776#2747C2×C7311yescharacteristic, complemented
777#2735C2×C7311yescharacteristic, complemented
778#2601C2×C7311yescharacteristic, complemented
779#2597C2×C7311yescharacteristic, complemented
780#2579C2×C7311yescharacteristic, complemented
781#2531C2×C7311yescharacteristic, complemented
782#2530C2×C7311yescharacteristic, complemented
783#2526C2×C7311yescharacteristic, complemented
784#2522C2×C7311yescharacteristic, complemented
785#2516C2×C7311yescharacteristic, complemented
786#2487C2×C7311yescharacteristic, complemented
787#2482C2×C7311yescharacteristic, complemented
788#2482C2×C7311yescharacteristic, complemented
789#2480C2×C7311yescharacteristic, complemented
790#2480C2×C7311yescharacteristic, complemented
791#2480C2×C7311yescharacteristic, complemented
792#2479C2×C7311yescharacteristic, complemented
793#2419C2×C7311yescharacteristic, complemented
794#2419C2×C7311yescharacteristic, complemented
795#2405C2×C7311yescharacteristic
796#2373C2×C7311yescharacteristic, complemented
797#2359C2×C7311yescharacteristic, complemented
798#2359C2×C7311yescharacteristic, complemented
799#2342C2×C7311yescharacteristic, complemented
800D4×C22⋊C4C2×C7311yescharacteristic
801D4×C22⋊C4C2×C7311yescharacteristic
802#2290C2×C7311yescharacteristic, complemented
803#2290C2×C7311yescharacteristic, complemented
804C2×#388C2×C7311yescharacteristic, complemented
805C73#5994211yescharacteristic, direct product factor, Sylow
806C23×D4C22×C7311yescharacteristic
807C2×#126C22×C7311yescharacteristic
808C2×#126C22×C7311yescharacteristic, complemented
809C2×#123C22×C7311yescharacteristic
810C2×#123C22×C7311yescharacteristic
811C2×C4×D4C22×C7311yescharacteristic
812C2×C4×D4C22×C7311yescharacteristic
813C2×C4×D4C22×C7311yescharacteristic
814C2×C4×D4C22×C7311yescharacteristic
815C2×#117C22×C7311yescharacteristic, complemented
816C2×#117C22×C7311yescharacteristic, complemented
817C2×#117C22×C7311yescharacteristic, complemented
818C22×C4⋊C4C22×C7311yescharacteristic, complemented
819C22×C22⋊C4C22×C7311yescharacteristic
820C22×C22⋊C4C22×C7311yescharacteristic
821C22×C22⋊C4C22×C7311yescharacteristic
822C22×C22⋊C4C22×C7311yescharacteristic
823C22×C22⋊C4C22×C7311yescharacteristic
824C22×C42C22×C7311yescharacteristic, complemented
825#400C22×C7311yescharacteristic, complemented
826#400C22×C7311yescharacteristic, complemented
827#400C22×C7311yescharacteristic, complemented
828#400C22×C7311yescharacteristic, complemented
829#399C22×C7311yescharacteristic
830#399C22×C7311yescharacteristic, complemented
831#399C22×C7311yescharacteristic, complemented
832#399C22×C7311yescharacteristic, complemented
833#398C22×C7311yescharacteristic, complemented
834#398C22×C7311yescharacteristic, complemented
835#398C22×C7311yescharacteristic, complemented
836#398C22×C7311yescharacteristic, complemented
837#397C22×C7311yescharacteristic
838#397C22×C7311yescharacteristic
839#397C22×C7311yescharacteristic
840#397C22×C7311yescharacteristic
841#397C22×C7311yescharacteristic, complemented
842#397C22×C7311yescharacteristic, complemented
843#397C22×C7311yescharacteristic, complemented
844#397C22×C7311yescharacteristic, complemented
845#397C22×C7311yescharacteristic, complemented
846#397C22×C7311yescharacteristic, complemented
847#397C22×C7311yescharacteristic, complemented
848#397C22×C7311yescharacteristic, complemented
849#396C22×C7311yescharacteristic
850#396C22×C7311yescharacteristic, complemented
851#396C22×C7311yescharacteristic, complemented
852#396C22×C7311yescharacteristic, complemented
853#394C22×C7311yescharacteristic
854#394C22×C7311yescharacteristic
855#394C22×C7311yescharacteristic
856#394C22×C7311yescharacteristic
857#390C22×C7311yescharacteristic
858#390C22×C7311yescharacteristic
859#390C22×C7311yescharacteristic
860#390C22×C7311yescharacteristic
861#389C22×C7311yescharacteristic, complemented
862#389C22×C7311yescharacteristic, complemented
863#389C22×C7311yescharacteristic, complemented
864#389C22×C7311yescharacteristic, complemented
865#388C22×C7311yescharacteristic
866#388C22×C7311yescharacteristic
867#388C22×C7311yescharacteristic
868#388C22×C7311yescharacteristic
869#388C22×C7311yescharacteristic
870#388C22×C7311yescharacteristic
871#388C22×C7311yescharacteristic
872#388C22×C7311yescharacteristic
873#388C22×C7311yescharacteristic
874#388C22×C7311yescharacteristic, complemented
875#388C22×C7311yescharacteristic, complemented
876#388C22×C7311yescharacteristic, complemented
877#388C22×C7311yescharacteristic, complemented
878#388C22×C7311yescharacteristic, complemented
879#388C22×C7311yescharacteristic, complemented
880#388C22×C7311yescharacteristic, complemented
881#388C22×C7311yescharacteristic, complemented
882#388C22×C7311yescharacteristic, complemented
883#388C22×C7311yescharacteristic, complemented
884#388C22×C7311yescharacteristic, complemented
885#388C22×C7311yescharacteristic, complemented
886#388C22×C7311yescharacteristic, complemented
887#388C22×C7311yescharacteristic, complemented
888#388C22×C7311yescharacteristic, complemented
889#388C22×C7311yescharacteristic, complemented
890#388C22×C7311yescharacteristic, complemented
891#387C22×C7311yescharacteristic, complemented
892#387C22×C7311yescharacteristic, complemented
893#387C22×C7311yescharacteristic, complemented
894#387C22×C7311yescharacteristic, complemented
895#387C22×C7311yescharacteristic, complemented
896#387C22×C7311yescharacteristic, complemented
897#387C22×C7311yescharacteristic, complemented
898#387C22×C7311yescharacteristic, complemented
899#387C22×C7311yescharacteristic, complemented
900#387C22×C7311yescharacteristic, complemented
901#387C22×C7311yescharacteristic, complemented
902#387C22×C7311yescharacteristic, complemented
903#387C22×C7311yescharacteristic, complemented
904#387C22×C7311yescharacteristic, complemented
905#386C22×C7311yescharacteristic
906#386C22×C7311yescharacteristic
907#386C22×C7311yescharacteristic
908#386C22×C7311yescharacteristic
909#386C22×C7311yescharacteristic
910#386C22×C7311yescharacteristic
911#386C22×C7311yescharacteristic
912#386C22×C7311yescharacteristic
913#386C22×C7311yescharacteristic
914#386C22×C7311yescharacteristic
915#385C22×C7311yescharacteristic
916#385C22×C7311yescharacteristic
917#385C22×C7311yescharacteristic, complemented
918#385C22×C7311yescharacteristic, complemented
919#385C22×C7311yescharacteristic, complemented
920#385C22×C7311yescharacteristic, complemented
921#385C22×C7311yescharacteristic, complemented
922#385C22×C7311yescharacteristic, complemented
923#385C22×C7311yescharacteristic, complemented
924#385C22×C7311yescharacteristic, complemented
925#385C22×C7311yescharacteristic, complemented
926#385C22×C7311yescharacteristic, complemented
927#385C22×C7311yescharacteristic, complemented
928#385C22×C7311yescharacteristic, complemented
929#381C22×C7311yescharacteristic, complemented
930#381C22×C7311yescharacteristic, complemented
931#381C22×C7311yescharacteristic, complemented
932#380C22×C7311yescharacteristic
933#380C22×C7311yescharacteristic
934#380C22×C7311yescharacteristic, complemented
935#380C22×C7311yescharacteristic, complemented
936#380C22×C7311yescharacteristic, complemented
937#380C22×C7311yescharacteristic, complemented
938#379C22×C7311yescharacteristic
939#379C22×C7311yescharacteristic
940#379C22×C7311yescharacteristic
941#379C22×C7311yescharacteristic
942#379C22×C7311yescharacteristic
943#379C22×C7311yescharacteristic
944#379C22×C7311yescharacteristic
945C4×C4⋊C4C22×C7311yescharacteristic, complemented
946C4×C4⋊C4C22×C7311yescharacteristic, complemented
947C4×C4⋊C4C22×C7311yescharacteristic, complemented
948C4×C4⋊C4C22×C7311yescharacteristic, complemented
949C4×C22⋊C4C22×C7311yescharacteristic
950C4×C22⋊C4C22×C7311yescharacteristic
951C4×C22⋊C4C22×C7311yescharacteristic, complemented
952C4×C22⋊C4C22×C7311yescharacteristic, complemented
953C4×C22⋊C4C22×C7311yescharacteristic, complemented
954C4×C22⋊C4C22×C7311yescharacteristic, complemented
955C4×C22⋊C4C22×C7311yescharacteristic, complemented
956C4×C22⋊C4C22×C7311yescharacteristic, complemented
957#376C22×C7311yescharacteristic, complemented
958#376C22×C7311yescharacteristic, complemented
959C2×#95C22×C7311yescharacteristic, complemented
960C2×#95C22×C7311yescharacteristic, complemented
961C25C23×C7311yescharacteristic
962C25C23×C7311yescharacteristic
963C22×D4—24no—
964C22×D4—24no—
965C22×D4—42no—
966C22×D4C23×C7311yescharacteristic
967C22×D4C23×C7311yescharacteristic
968C22×D4C23×C7311yescharacteristic
969C22×D4C23×C7311yescharacteristic
970C23×C4C23×C7311yescharacteristic
971C23×C4C23×C7311yescharacteristic
972C23×C4C23×C7311yescharacteristic
973C23×C4C23×C7311yescharacteristic
974C23×C4C23×C7311yescharacteristic
975C23×C4C23×C7311yescharacteristic
976C23×C4C23×C7311yescharacteristic
977C23×C4C23×C7311yescharacteristic
978C23×C4C23×C7311yescharacteristic
979C23×C4C23×C7311yescharacteristic
980C23×C4C23×C7311yescharacteristic
981#126—24no—
982#126—42no—
983#123—24no—
984#123—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—42no—
988C4×D4—42no—
989#117—42no—
990#117—42no—
991#117—42no—
992C2×C4⋊C4—42no—
993C2×C4⋊C4C23×C7311yescharacteristic
994C2×C4⋊C4C23×C7311yescharacteristic
995C2×C4⋊C4C23×C7311yescharacteristic
996C2×C4⋊C4C23×C7311yescharacteristic
997C2×C4⋊C4C23×C7311yescharacteristic
998C2×C4⋊C4C23×C7311yescharacteristic
999C2×C4⋊C4C23×C7311yescharacteristic
1000C2×C4⋊C4C23×C7311yescharacteristic
1001C2×C4⋊C4C23×C7311yescharacteristic
1002C2×C4⋊C4C23×C7311yescharacteristic
1003C2×C4⋊C4C23×C7311yescharacteristic
1004C2×C4⋊C4C23×C7311yescharacteristic
1005C2×C4⋊C4C23×C7311yescharacteristic
1006C2×C4⋊C4C23×C7311yescharacteristic
1007C2×C4⋊C4C23×C7311yescharacteristic
1008C2×C4⋊C4C23×C7311yescharacteristic
1009C2×C4⋊C4C23×C7311yescharacteristic
1010C2×C4⋊C4C23×C7311yescharacteristic
1011C2×C4⋊C4C23×C7311yescharacteristic
1012C2×C4⋊C4C23×C7311yescharacteristic
1013C2×C4⋊C4C23×C7311yescharacteristic
1014C2×C4⋊C4C23×C7311yescharacteristic
1015C2×C4⋊C4C23×C7311yescharacteristic
1016C2×C4⋊C4C23×C7311yescharacteristic
1017C2×C4⋊C4C23×C7311yescharacteristic
1018C2×C4⋊C4C23×C7311yescharacteristic
1019C2×C4⋊C4C23×C7311yescharacteristic
1020C2×C4⋊C4C23×C7311yescharacteristic
1021C2×C4⋊C4C23×C7311yescharacteristic
1022C2×C4⋊C4C23×C7311yescharacteristic
1023C2×C22⋊C4—24no—
1024C2×C22⋊C4—24no—
1025C2×C22⋊C4—42no—
1026C2×C22⋊C4—42no—
1027C2×C22⋊C4—42no—
1028C2×C22⋊C4C23×C7311yescharacteristic
1029C2×C22⋊C4C23×C7311yescharacteristic
1030C2×C22⋊C4C23×C7311yescharacteristic
1031C2×C22⋊C4C23×C7311yescharacteristic
1032C2×C22⋊C4C23×C7311yescharacteristic
1033C2×C22⋊C4C23×C7311yescharacteristic
1034C2×C22⋊C4C23×C7311yescharacteristic
1035C2×C22⋊C4C23×C7311yescharacteristic
1036C2×C22⋊C4C23×C7311yescharacteristic
1037C2×C22⋊C4C23×C7311yescharacteristic
1038C2×C22⋊C4C23×C7311yescharacteristic
1039C2×C22⋊C4C23×C7311yescharacteristic
1040C2×C22⋊C4C23×C7311yescharacteristic
1041C2×C22⋊C4C23×C7311yescharacteristic
1042C2×C22⋊C4C23×C7311yescharacteristic
1043C2×C22⋊C4C23×C7311yescharacteristic
1044C2×C22⋊C4C23×C7311yescharacteristic
1045C2×C22⋊C4C23×C7311yescharacteristic
1046C2×C22⋊C4C23×C7311yescharacteristic
1047C2×C22⋊C4C23×C7311yescharacteristic
1048C2×C22⋊C4C23×C7311yescharacteristic
1049C2×C22⋊C4C23×C7311yescharacteristic
1050C2×C22⋊C4C23×C7311yescharacteristic
1051C2×C22⋊C4C23×C7311yescharacteristic
1052C2×C22⋊C4C23×C7311yescharacteristic
1053C2×C22⋊C4C23×C7311yescharacteristic
1054C2×C22⋊C4C23×C7311yescharacteristic
1055C2×C22⋊C4C23×C7311yescharacteristic
1056C2×C22⋊C4C23×C7311yescharacteristic
1057C2×C22⋊C4C23×C7311yescharacteristic
1058C2×C22⋊C4C23×C7311yescharacteristic
1059C2×C22⋊C4C23×C7311yescharacteristic
1060C2×C22⋊C4C23×C7311yescharacteristic
1061C2×C22⋊C4C23×C7311yescharacteristic
1062C2×C22⋊C4C23×C7311yescharacteristic
1063C2×C22⋊C4C23×C7311yescharacteristic
1064C2×C22⋊C4C23×C7311yescharacteristic
1065C2×C22⋊C4C23×C7311yescharacteristic
1066C2×C22⋊C4C23×C7311yescharacteristic
1067C2×C22⋊C4C23×C7311yescharacteristic
1068C2×C22⋊C4C23×C7311yescharacteristic
1069C2×C22⋊C4C23×C7311yescharacteristic
1070C2×C22⋊C4C23×C7311yescharacteristic
1071C2×C22⋊C4C23×C7311yescharacteristic
1072C2×C22⋊C4C23×C7311yescharacteristic
1073C2×C22⋊C4C23×C7311yescharacteristic
1074C2×C22⋊C4C23×C7311yescharacteristic
1075C2×C22⋊C4C23×C7311yescharacteristic
1076C2×C22⋊C4C23×C7311yescharacteristic
1077C2×C22⋊C4C23×C7311yescharacteristic
1078C2×C42—42no—
1079C2×C42C23×C7311yescharacteristic
1080C2×C42C23×C7311yescharacteristic
1081C2×C42C23×C7311yescharacteristic
1082C2×C42C23×C7311yescharacteristic
1083C2×C42C23×C7311yescharacteristic
1084C2×C42C23×C7311yescharacteristic
1085C2×C42C23×C7311yescharacteristic
1086C2×C42C23×C7311yescharacteristic
1087C2×C42C23×C7311yescharacteristic
1088C2×C42C23×C7311yescharacteristic
1089C2×C42C23×C7311yescharacteristic
1090C2×C42C23×C7311yescharacteristic
1091C2×C42C23×C7311yescharacteristic
1092C2×C42C23×C7311yescharacteristic
1093#95C23×C7311yescharacteristic
1094#95C23×C7311yescharacteristic
1095#95C23×C7311yescharacteristic
1096#95C23×C7311yescharacteristic
1097#95C23×C7311yescharacteristic
1098#95C23×C7311yescharacteristic
1099#95C23×C7311yescharacteristic
1100#95C23×C7311yescharacteristic
1101#95C23×C7311yescharacteristic
1102#95C23×C7311yescharacteristic
1103#95C23×C7311yescharacteristic
1104#95C23×C7311yescharacteristic
1105#95C23×C7311yescharacteristic
1106#95C23×C7311yescharacteristic
1107#95C23×C7311yescharacteristic
1108#95C23×C7311yescharacteristic
1109#95C23×C7311yescharacteristic
1110#95C23×C7311yescharacteristic
1111#95C23×C7311yescharacteristic
1112#95C23×C7311yescharacteristic
1113#95C23×C7311yescharacteristic
1114#95C23×C7311yescharacteristic
1115#95C23×C7311yescharacteristic
1116#95C23×C7311yescharacteristic
1117#95C23×C7311yescharacteristic
1118#95C23×C7311yescharacteristic
1119#95C23×C7311yescharacteristic
1120#95C23×C7311yescharacteristic
1121#95C23×C7311yescharacteristic
1122#95C23×C7311yescharacteristic
1123#95C23×C7311yescharacteristic
1124#95C23×C7311yescharacteristic
1125#95C23×C7311yescharacteristic
1126#95C23×C7311yescharacteristic
1127#95C23×C7311yescharacteristic
1128#95C23×C7311yescharacteristic
1129#95C23×C7311yescharacteristic
1130#95C23×C7311yescharacteristic
1131#95C23×C7311yescharacteristic
1132#95C23×C7311yescharacteristic
1133#95C23×C7311yescharacteristic
1134#95C23×C7311yescharacteristic
1135#95C23×C7311yescharacteristic
1136#95C23×C7311yescharacteristic
1137C24—22no—
1138C24—22no—
1139C24—22no—
1140C24—22no—
1141C24—22no—
1142C24—22no—
1143C24—22no—
1144C24—41no—
1145C24—41no—
1146C24—41no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24—41no—
1151C24C24×C7311yescharacteristic
1152C24C24×C7311yescharacteristic
1153C24C24×C7311yescharacteristic
1154C24C24×C7311yescharacteristic
1155C24C24×C7311yescharacteristic
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—416no—
1167C2×D4#41×C7314yes—
1168C2×D4#41×C7314yes—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4C24×C7311yescharacteristic
1203C22×C4C24×C7311yescharacteristic
1204C22×C4C24×C7311yescharacteristic
1205C22×C4C24×C7311yescharacteristic
1206C22×C4C24×C7311yescharacteristic
1207C22×C4C24×C7311yescharacteristic
1208C22×C4C24×C7311yescharacteristic
1209C22×C4C24×C7311yescharacteristic
1210C22×C4C24×C7311yescharacteristic
1211C22×C4C24×C7311yescharacteristic
1212C22×C4C24×C7311yescharacteristic
1213C22×C4C24×C7311yescharacteristic
1214C22×C4C24×C7311yescharacteristic
1215C22×C4C24×C7311yescharacteristic
1216C22×C4C24×C7311yescharacteristic
1217C22×C4C24×C7311yescharacteristic
1218C22×C4C24×C7311yescharacteristic
1219C22×C4C24×C7311yescharacteristic
1220C22×C4C24×C7311yescharacteristic
1221C22×C4C24×C7311yescharacteristic
1222C22×C4C24×C7311yescharacteristic
1223C22×C4C24×C7311yescharacteristic
1224C22×C4C24×C7311yescharacteristic
1225C22×C4C24×C7311yescharacteristic
1226C22×C4C24×C7311yescharacteristic
1227C22×C4C24×C7311yescharacteristic
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4#41×C7314yes—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—82no—
1359C23—82no—
1360C23—82no—
1361C23—82no—
1362C23—82no—
1363C23—82no—
1364C23—82no—
1365C23C2×#41×C7312yes—
1366C23C2×#41×C7312yes—
1367C23C2×#41×C7312yes—
1368C23C2×#41×C7312yes—
1369C23C2×#41×C7312yes—
1370C23H(5,𝔽2)×C7312yes—
1371C23C25×C7311yescharacteristic
1372D4—28no—
1373D4—28no—
1374D4—44no—
1375D4—44no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—44no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4C2×#41×C7312yes—
1461C2×C4C2×#41×C7312yes—
1462C2×C4C2×#41×C7312yes—
1463C2×C4C2×#41×C7312yes—
1464C2×C4H(5,𝔽2)×C7312yes—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—88no—
1500C22—88no—
1501C22#551×C7314yes—
1502C22C22×#41×C7311yescharacteristic
1503C22C22×#41×C7311yescharacteristic
1504C22C22×#41×C7311yescharacteristic
1505C22C2×H(5,𝔽2)×C7311yescharacteristic
1506C22C2×H(5,𝔽2)×C7311yescharacteristic
1507C22#585×C7311yescharacteristic
1508C22#585×C7311yescharacteristic
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C2—24no—
1536C2—42no—
1537C2—42no—
1538C2—42no—
1539C2—81no—
1540C2C2×#551×C7311yescharacteristic
1541C2C73×#347511yescharacteristic
1542C2C73×#348111yescharacteristic
1543C2C73×#351311yescharacteristic
1544C2C73×#351311yescharacteristic
1545C2C73×#352111yescharacteristic
1546C2C73×#354211yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC23×D4×C73C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2796C2semidirect
2. C73×#2786C2semidirect
3. C73×#2747C2semidirect
4. C73×#2735C2semidirect
5. C73×#2601C2semidirect
6. C73×#2597C2semidirect
7. C73×#2579C2semidirect
8. C73×#2531C2semidirect
9. C73×#2530C2semidirect
10. C73×#2526C2semidirect
11. C73×#2522C2semidirect
12. C73×#2516C2semidirect
13. C73×#2487C2semidirect
14. C73×#2482C2semidirect
15. C73×#2482C2semidirect
16. C73×#2480C2semidirect
17. C73×#2480C2semidirect
18. C73×#2480C2semidirect
19. C73×#2479C2semidirect
20. C73×#2419C2semidirect
21. C73×#2419C2semidirect
23. C73×#2373C2semidirect
24. C73×#2359C2semidirect
25. C73×#2359C2semidirect
26. C73×#2342C2semidirect
29. C73×#2290C2semidirect
30. C73×#2290C2semidirect
31. C2×#388×C73C2semidirect
34. C2×#126×C73C22semidirect
41. C2×#117×C73C22semidirect
42. C2×#117×C73C22semidirect
43. C2×#117×C73C22semidirect
44. C22×C4⋊C4×C73C22semidirect
50. C22×C42×C73C22semidirect
51. #400×C73C22semidirect
52. #400×C73C22semidirect
53. #400×C73C22semidirect
54. #400×C73C22semidirect
56. #399×C73C22semidirect
57. #399×C73C22semidirect
58. #399×C73C22semidirect
59. #398×C73C22semidirect
60. #398×C73C22semidirect
61. #398×C73C22semidirect
62. #398×C73C22semidirect
67. #397×C73C22semidirect
68. #397×C73C22semidirect
69. #397×C73C22semidirect
70. #397×C73C22semidirect
71. #397×C73C22semidirect
72. #397×C73C22semidirect
73. #397×C73C22semidirect
74. #397×C73C22semidirect
76. #396×C73C22semidirect
77. #396×C73C22semidirect
78. #396×C73C22semidirect
87. #389×C73C22semidirect
88. #389×C73C22semidirect
89. #389×C73C22semidirect
90. #389×C73C22semidirect
100. #388×C73C22semidirect
101. #388×C73C22semidirect
102. #388×C73C22semidirect
103. #388×C73C22semidirect
104. #388×C73C22semidirect
105. #388×C73C22semidirect
106. #388×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. #387×C73C22semidirect
118. #387×C73C22semidirect
119. #387×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
143. #385×C73C22semidirect
144. #385×C73C22semidirect
145. #385×C73C22semidirect
146. #385×C73C22semidirect
147. #385×C73C22semidirect
148. #385×C73C22semidirect
149. #385×C73C22semidirect
150. #385×C73C22semidirect
151. #385×C73C22semidirect
152. #385×C73C22semidirect
153. #385×C73C22semidirect
154. #385×C73C22semidirect
155. #381×C73C22semidirect
156. #381×C73C22semidirect
157. #381×C73C22semidirect
160. #380×C73C22semidirect
161. #380×C73C22semidirect
162. #380×C73C22semidirect
163. #380×C73C22semidirect
171. C4×C4⋊C4×C73C22semidirect
172. C4×C4⋊C4×C73C22semidirect
173. C4×C4⋊C4×C73C22semidirect
174. C4×C4⋊C4×C73C22semidirect
177. C4×C22⋊C4×C73C22semidirect
178. C4×C22⋊C4×C73C22semidirect
179. C4×C22⋊C4×C73C22semidirect
180. C4×C22⋊C4×C73C22semidirect
181. C4×C22⋊C4×C73C22semidirect
182. C4×C22⋊C4×C73C22semidirect
183. #376×C73C22semidirect
184. #376×C73C22semidirect
185. C2×#95×C73C22semidirect
186. C2×#95×C73C22semidirect
761. #59942C73direct (N × H)
774. #2796C2×C73semidirect
775. #2786C2×C73semidirect
776. #2747C2×C73semidirect
777. #2735C2×C73semidirect
778. #2601C2×C73semidirect
779. #2597C2×C73semidirect
780. #2579C2×C73semidirect
781. #2531C2×C73semidirect
782. #2530C2×C73semidirect
783. #2526C2×C73semidirect
784. #2522C2×C73semidirect
785. #2516C2×C73semidirect
786. #2487C2×C73semidirect
787. #2482C2×C73semidirect
788. #2482C2×C73semidirect
789. #2480C2×C73semidirect
790. #2480C2×C73semidirect
791. #2480C2×C73semidirect
792. #2479C2×C73semidirect
793. #2419C2×C73semidirect
794. #2419C2×C73semidirect
796. #2373C2×C73semidirect
797. #2359C2×C73semidirect
798. #2359C2×C73semidirect
799. #2342C2×C73semidirect
802. #2290C2×C73semidirect
803. #2290C2×C73semidirect
804. C2×#388C2×C73semidirect
805. C73#59942direct (N × H)
808. C2×#126C22×C73semidirect
815. C2×#117C22×C73semidirect
816. C2×#117C22×C73semidirect
817. C2×#117C22×C73semidirect
818. C22×C4⋊C4C22×C73semidirect
824. C22×C42C22×C73semidirect
825. #400C22×C73semidirect
826. #400C22×C73semidirect
827. #400C22×C73semidirect
828. #400C22×C73semidirect
830. #399C22×C73semidirect
831. #399C22×C73semidirect
832. #399C22×C73semidirect
833. #398C22×C73semidirect
834. #398C22×C73semidirect
835. #398C22×C73semidirect
836. #398C22×C73semidirect
841. #397C22×C73semidirect
842. #397C22×C73semidirect
843. #397C22×C73semidirect
844. #397C22×C73semidirect
845. #397C22×C73semidirect
846. #397C22×C73semidirect
847. #397C22×C73semidirect
848. #397C22×C73semidirect
850. #396C22×C73semidirect
851. #396C22×C73semidirect
852. #396C22×C73semidirect
861. #389C22×C73semidirect
862. #389C22×C73semidirect
863. #389C22×C73semidirect
864. #389C22×C73semidirect
874. #388C22×C73semidirect
875. #388C22×C73semidirect
876. #388C22×C73semidirect
877. #388C22×C73semidirect
878. #388C22×C73semidirect
879. #388C22×C73semidirect
880. #388C22×C73semidirect
881. #388C22×C73semidirect
882. #388C22×C73semidirect
883. #388C22×C73semidirect
884. #388C22×C73semidirect
885. #388C22×C73semidirect
886. #388C22×C73semidirect
887. #388C22×C73semidirect
888. #388C22×C73semidirect
889. #388C22×C73semidirect
890. #388C22×C73semidirect
891. #387C22×C73semidirect
892. #387C22×C73semidirect
893. #387C22×C73semidirect
894. #387C22×C73semidirect
895. #387C22×C73semidirect
896. #387C22×C73semidirect
897. #387C22×C73semidirect
898. #387C22×C73semidirect
899. #387C22×C73semidirect
900. #387C22×C73semidirect
901. #387C22×C73semidirect
902. #387C22×C73semidirect
903. #387C22×C73semidirect
904. #387C22×C73semidirect
917. #385C22×C73semidirect
918. #385C22×C73semidirect
919. #385C22×C73semidirect
920. #385C22×C73semidirect
921. #385C22×C73semidirect
922. #385C22×C73semidirect
923. #385C22×C73semidirect
924. #385C22×C73semidirect
925. #385C22×C73semidirect
926. #385C22×C73semidirect
927. #385C22×C73semidirect
928. #385C22×C73semidirect
929. #381C22×C73semidirect
930. #381C22×C73semidirect
931. #381C22×C73semidirect
934. #380C22×C73semidirect
935. #380C22×C73semidirect
936. #380C22×C73semidirect
937. #380C22×C73semidirect
945. C4×C4⋊C4C22×C73semidirect
946. C4×C4⋊C4C22×C73semidirect
947. C4×C4⋊C4C22×C73semidirect
948. C4×C4⋊C4C22×C73semidirect
951. C4×C22⋊C4C22×C73semidirect
952. C4×C22⋊C4C22×C73semidirect
953. C4×C22⋊C4C22×C73semidirect
954. C4×C22⋊C4C22×C73semidirect
955. C4×C22⋊C4C22×C73semidirect
956. C4×C22⋊C4C22×C73semidirect
957. #376C22×C73semidirect
958. #376C22×C73semidirect
959. C2×#95C22×C73semidirect
960. C2×#95C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#27962
C73×#27862
C73×#27472
C73×#27352
C73×#26012
C73×#25972
C73×#25792
C73×#25312
C73×#25302
C73×#25262
C73×#25222
C73×#25162
C73×#24872
C73×#24822
C73×#24802
C73×#24792
C73×#24192
C73×#24052
C73×#23732
C73×#23592
C73×#23422
D4×C22⋊C4×C732
C73×#22902
C2×#388×C732
#5994273