Finite Group Databasebeta

← C73×#59572 #32968976

Subgroups — C73×#59572 #32968976

Order 18688.

1670 conjugacy classes of subgroups.

The subgroup lattice has 1372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2770C211yesmaximal, characteristic, complemented
2C73×#2744C211yesmaximal, characteristic, complemented
3C73×#2739C211yesmaximal, characteristic, complemented
4C73×#2735C211yesmaximal, characteristic
5C73×#2587C211yesmaximal, characteristic, complemented
6C73×#2587C211yesmaximal, characteristic, complemented
7C73×#2577C211yesmaximal, characteristic, complemented
8C73×#2577C211yesmaximal, characteristic, complemented
9C73×#2575C211yesmaximal, characteristic, complemented
10C73×#2573C211yesmaximal, characteristic, complemented
11C73×#2573C211yesmaximal, characteristic, complemented
12C73×#2530C211yesmaximal, characteristic, complemented
13C73×#2530C211yesmaximal, characteristic, complemented
14C73×#2522C211yesmaximal, characteristic, complemented
15C73×#2515C211yesmaximal, characteristic, complemented
16C73×#2495C211yesmaximal, characteristic, complemented
17C73×#2480C211yesmaximal, characteristic
18C73×#2480C211yesmaximal, characteristic
19C73×#2480C211yesmaximal, characteristic
20C73×#2478C211yesmaximal, characteristic, complemented
21C73×#2478C211yesmaximal, characteristic, complemented
22C73×#2478C211yesmaximal, characteristic, complemented
23C73×#2373C211yesmaximal, characteristic, complemented
24C73×#2347C211yesmaximal, characteristic, complemented
25C73×#2346C211yesmaximal, characteristic, complemented
26C73×#2342C211yesmaximal, characteristic
27C73×#2342C211yesmaximal, characteristic
28C73×#2342C211yesmaximal, characteristic
29C4×#126×C73C211yesmaximal, characteristic, complemented
30C4×#126×C73C211yesmaximal, characteristic, complemented
31C73×#2298C211yesmaximal, characteristic, complemented
32C2×#126×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic
34C2×#126×C73C2211yescharacteristic
35C2×#117×C73C2211yescharacteristic
36C2×#117×C73C2211yescharacteristic
37C2×#117×C73C2211yescharacteristic
38C22×C22⋊C4×C73C2211yescharacteristic
39C22×C22⋊C4×C73C2211yescharacteristic
40C22×C22⋊C4×C73C2211yescharacteristic
41#400×C73C2211yescharacteristic, complemented
42#400×C73C2211yescharacteristic, complemented
43#400×C73C2211yescharacteristic, complemented
44#400×C73C2211yescharacteristic, complemented
45#400×C73C2211yescharacteristic, complemented
46#400×C73C2211yescharacteristic, complemented
47#400×C73C2211yescharacteristic, complemented
48#400×C73C2211yescharacteristic, complemented
49#399×C73C2211yescharacteristic
50#398×C73C2211yescharacteristic, complemented
51#398×C73C2211yescharacteristic, complemented
52#398×C73C2211yescharacteristic, complemented
53#398×C73C2211yescharacteristic, complemented
54#398×C73C2211yescharacteristic, complemented
55#398×C73C2211yescharacteristic, complemented
56#397×C73C2211yescharacteristic
57#397×C73C2211yescharacteristic
58#397×C73C2211yescharacteristic
59#397×C73C2211yescharacteristic
60#397×C73C2211yescharacteristic
61#397×C73C2211yescharacteristic
62#397×C73C2211yescharacteristic
63#397×C73C2211yescharacteristic
64#397×C73C2211yescharacteristic
65#397×C73C2211yescharacteristic
66#397×C73C2211yescharacteristic
67#397×C73C2211yescharacteristic
68#396×C73C2211yescharacteristic
69#396×C73C2211yescharacteristic
70#396×C73C2211yescharacteristic
71#396×C73C2211yescharacteristic
72#396×C73C2211yescharacteristic
73#389×C73C2211yescharacteristic, complemented
74#389×C73C2211yescharacteristic, complemented
75#389×C73C2211yescharacteristic, complemented
76#389×C73C2211yescharacteristic, complemented
77#389×C73C2211yescharacteristic, complemented
78#389×C73C2211yescharacteristic, complemented
79#389×C73C2211yescharacteristic, complemented
80#389×C73C2211yescharacteristic, complemented
81#389×C73C2211yescharacteristic, complemented
82#388×C73C2211yescharacteristic
83#388×C73C2211yescharacteristic
84#388×C73C2211yescharacteristic
85#388×C73C2211yescharacteristic
86#388×C73C2211yescharacteristic
87#388×C73C2211yescharacteristic
88#388×C73C2211yescharacteristic
89#388×C73C2211yescharacteristic
90#388×C73C2211yescharacteristic
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#387×C73C2211yescharacteristic, complemented
110#387×C73C2211yescharacteristic, complemented
111#387×C73C2211yescharacteristic, complemented
112#387×C73C2211yescharacteristic, complemented
113#387×C73C2211yescharacteristic, complemented
114#387×C73C2211yescharacteristic, complemented
115#387×C73C2211yescharacteristic, complemented
116#387×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#385×C73C2211yescharacteristic
132#385×C73C2211yescharacteristic
133#385×C73C2211yescharacteristic
134#385×C73C2211yescharacteristic
135#385×C73C2211yescharacteristic
136#385×C73C2211yescharacteristic
137#385×C73C2211yescharacteristic
138#385×C73C2211yescharacteristic
139#385×C73C2211yescharacteristic
140#385×C73C2211yescharacteristic
141#385×C73C2211yescharacteristic
142#385×C73C2211yescharacteristic
143#383×C73C2211yescharacteristic, complemented
144#383×C73C2211yescharacteristic, complemented
145#383×C73C2211yescharacteristic, complemented
146#383×C73C2211yescharacteristic, complemented
147#382×C73C2211yescharacteristic, complemented
148#382×C73C2211yescharacteristic, complemented
149#381×C73C2211yescharacteristic
150#381×C73C2211yescharacteristic
151#381×C73C2211yescharacteristic
152#380×C73C2211yescharacteristic
153#380×C73C2211yescharacteristic
154#380×C73C2211yescharacteristic
155#380×C73C2211yescharacteristic
156#380×C73C2211yescharacteristic
157#380×C73C2211yescharacteristic
158#379×C73C2211yescharacteristic
159#379×C73C2211yescharacteristic
160#379×C73C2211yescharacteristic
161#379×C73C2211yescharacteristic
162C4×C4⋊C4×C73C2211yescharacteristic, complemented
163C4×C4⋊C4×C73C2211yescharacteristic, complemented
164C4×C4⋊C4×C73C2211yescharacteristic, complemented
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×C22⋊C4×C73C2211yescharacteristic
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
184#376×C73C2211yescharacteristic, complemented
185#376×C73C2211yescharacteristic, complemented
186C43×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C23×C4×C73C2311yescharacteristic
189C23×C4×C73C2311yescharacteristic
190C23×C4×C73C2311yescharacteristic
191C23×C4×C73C2311yescharacteristic
192C23×C4×C73C2311yescharacteristic
193C23×C4×C73C2311yescharacteristic
194#126×C73—24no—
195#126×C73—24no—
196#126×C73—24no—
197#117×C73—24no—
198#117×C73—24no—
199#117×C73—24no—
200C2×C4⋊C4×C73C2311yescharacteristic
201C2×C4⋊C4×C73C2311yescharacteristic
202C2×C4⋊C4×C73C2311yescharacteristic
203C2×C4⋊C4×C73C2311yescharacteristic
204C2×C4⋊C4×C73C2311yescharacteristic
205C2×C4⋊C4×C73C2311yescharacteristic
206C2×C4⋊C4×C73C2311yescharacteristic
207C2×C4⋊C4×C73C2311yescharacteristic
208C2×C4⋊C4×C73C2311yescharacteristic
209C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73—24no—
237C2×C22⋊C4×C73—24no—
238C2×C22⋊C4×C73—24no—
239C2×C22⋊C4×C73C2311yescharacteristic
240C2×C22⋊C4×C73C2311yescharacteristic
241C2×C22⋊C4×C73C2311yescharacteristic
242C2×C22⋊C4×C73C2311yescharacteristic
243C2×C22⋊C4×C73C2311yescharacteristic
244C2×C22⋊C4×C73C2311yescharacteristic
245C2×C22⋊C4×C73C2311yescharacteristic
246C2×C22⋊C4×C73C2311yescharacteristic
247C2×C22⋊C4×C73C2311yescharacteristic
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×C42×C73C2311yescharacteristic
276C2×C42×C73C2311yescharacteristic
277C2×C42×C73C2311yescharacteristic
278C2×C42×C73C2311yescharacteristic
279C2×C42×C73C2311yescharacteristic
280C2×C42×C73C2311yescharacteristic
281C2×C42×C73C2311yescharacteristic
282C2×C42×C73C2311yescharacteristic
283C2×C42×C73C2311yescharacteristic
284C2×C42×C73C2311yescharacteristic
285C2×C42×C73C2311yescharacteristic
286C2×C42×C73C2311yescharacteristic
287C2×C42×C73C2311yescharacteristic
288C2×C42×C73C2311yescharacteristic
289C2×C42×C73C2311yescharacteristic
290C2×C42×C73C2311yescharacteristic
291C2×C42×C73C2311yescharacteristic
292C2×C42×C73C2311yescharacteristic
293C2×C42×C73C2311yescharacteristic
294C2×C42×C73C2311yescharacteristic
295#95×C73C2311yescharacteristic
296#95×C73C2311yescharacteristic
297#95×C73C2311yescharacteristic
298#95×C73C2311yescharacteristic
299#95×C73C2311yescharacteristic
300#95×C73C2311yescharacteristic
301#95×C73C2311yescharacteristic
302#95×C73C2311yescharacteristic
303#95×C73C2311yescharacteristic
304#95×C73C2311yescharacteristic
305#95×C73C2311yescharacteristic
306#95×C73C2311yescharacteristic
307#95×C73C2311yescharacteristic
308#95×C73C2311yescharacteristic
309#95×C73C2311yescharacteristic
310#95×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
351C24×C73—22no—
352C24×C73—22no—
353C24×C73—22no—
354C24×C73—41no—
355C24×C73—41no—
356C24×C73—41no—
357C24×C73—41no—
358C24×C73C2411yescharacteristic
359C24×C73C2411yescharacteristic
360C24×C73C2411yescharacteristic
361C22×C4×C73—22no—
362C22×C4×C73—22no—
363C22×C4×C73—22no—
364C22×C4×C73—22no—
365C22×C4×C73—22no—
366C22×C4×C73—22no—
367C22×C4×C73—22no—
368C22×C4×C73—22no—
369C22×C4×C73—22no—
370C22×C4×C73—41no—
371C22×C4×C73—41no—
372C22×C4×C73—41no—
373C22×C4×C73—41no—
374C22×C4×C73—41no—
375C22×C4×C73—41no—
376C22×C4×C73—41no—
377C22×C4×C73—41no—
378C22×C4×C73—41no—
379C22×C4×C73C2411yescharacteristic
380C22×C4×C73C2411yescharacteristic
381C22×C4×C73C2411yescharacteristic
382C22×C4×C73C2411yescharacteristic
383C22×C4×C73C2411yescharacteristic
384C22×C4×C73C2411yescharacteristic
385C22×C4×C73C2411yescharacteristic
386C22×C4×C73C2411yescharacteristic
387C22×C4×C73C2411yescharacteristic
388C22×C4×C73C2411yescharacteristic
389C22×C4×C73C2411yescharacteristic
390C22×C4×C73C2411yescharacteristic
391C22×C4×C73C2411yescharacteristic
392C22×C4×C73C2411yescharacteristic
393C22×C4×C73C2411yescharacteristic
394C22×C4×C73C2411yescharacteristic
395C22×C4×C73C2411yescharacteristic
396C22×C4×C73C2411yescharacteristic
397C22×C4×C73C2411yescharacteristic
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
407C4⋊C4×C73—22no—
408C4⋊C4×C73—22no—
409C4⋊C4×C73—22no—
410C4⋊C4×C73—22no—
411C4⋊C4×C73—22no—
412C4⋊C4×C73—22no—
413C4⋊C4×C73—22no—
414C4⋊C4×C73—22no—
415C4⋊C4×C73—22no—
416C4⋊C4×C73—22no—
417C4⋊C4×C73—22no—
418C4⋊C4×C73—22no—
419C4⋊C4×C73—22no—
420C4⋊C4×C73—22no—
421C4⋊C4×C73—22no—
422C4⋊C4×C73—41no—
423C4⋊C4×C73—41no—
424C4⋊C4×C73—41no—
425C4⋊C4×C73—41no—
426C4⋊C4×C73—41no—
427C4⋊C4×C73—41no—
428C4⋊C4×C73—41no—
429C4⋊C4×C73—41no—
430C4⋊C4×C73—41no—
431C4⋊C4×C73—41no—
432C4⋊C4×C73—41no—
433C4⋊C4×C73—41no—
434C4⋊C4×C73—41no—
435C4⋊C4×C73—41no—
436C4⋊C4×C73—41no—
437C4⋊C4×C73—41no—
438C4⋊C4×C73—41no—
439C4⋊C4×C73—41no—
440C4⋊C4×C73—41no—
441C4⋊C4×C73—41no—
442C4⋊C4×C73—41no—
443C22⋊C4×C73—22no—
444C22⋊C4×C73—22no—
445C22⋊C4×C73—22no—
446C22⋊C4×C73—22no—
447C22⋊C4×C73—22no—
448C22⋊C4×C73—22no—
449C22⋊C4×C73—22no—
450C22⋊C4×C73—22no—
451C22⋊C4×C73—22no—
452C22⋊C4×C73—22no—
453C22⋊C4×C73—22no—
454C22⋊C4×C73—22no—
455C22⋊C4×C73—22no—
456C22⋊C4×C73—22no—
457C22⋊C4×C73—22no—
458C22⋊C4×C73—22no—
459C22⋊C4×C73—22no—
460C22⋊C4×C73—22no—
461C22⋊C4×C73—41no—
462C22⋊C4×C73—41no—
463C22⋊C4×C73—41no—
464C22⋊C4×C73—41no—
465C22⋊C4×C73—41no—
466C22⋊C4×C73—41no—
467C22⋊C4×C73—41no—
468C22⋊C4×C73—41no—
469C22⋊C4×C73—41no—
470C22⋊C4×C73—41no—
471C22⋊C4×C73—41no—
472C22⋊C4×C73—41no—
473C22⋊C4×C73—41no—
474C22⋊C4×C73—41no—
475C22⋊C4×C73—41no—
476C22⋊C4×C73#4114yes—
477C22⋊C4×C73#4114yes—
478C22⋊C4×C73#4114yes—
479C42×C73—22no—
480C42×C73—22no—
481C42×C73—22no—
482C42×C73—22no—
483C42×C73—22no—
484C42×C73—22no—
485C42×C73—22no—
486C42×C73—22no—
487C42×C73—22no—
488C42×C73—41no—
489C42×C73—41no—
490C42×C73—41no—
491C42×C73—41no—
492C42×C73—41no—
493C42×C73—41no—
494C42×C73—41no—
495C42×C73—41no—
496C42×C73—41no—
497C42×C73—41no—
498C42×C73—41no—
499C23×C73—21no—
500C23×C73—21no—
501C23×C73—21no—
502C23×C73—21no—
503C23×C73—21no—
504C23×C73—21no—
505C23×C73—21no—
506C23×C73—21no—
507C23×C73—21no—
508C23×C73—21no—
509C23×C73—21no—
510C23×C73—21no—
511C23×C73—21no—
512C23×C73—21no—
513C23×C73—21no—
514C23×C73—21no—
515C23×C73—21no—
516C23×C73—21no—
517C23×C73—44no—
518C23×C73—44no—
519C23×C73—44no—
520C23×C73—82no—
521C23×C73—82no—
522C23×C73—82no—
523C23×C73—82no—
524C23×C73C2×#4112yes—
525C23×C73C2×#4112yes—
526C23×C73C2×#4112yes—
527C23×C73C2511yescharacteristic
528C2×C4×C73—21no—
529C2×C4×C73—21no—
530C2×C4×C73—21no—
531C2×C4×C73—21no—
532C2×C4×C73—21no—
533C2×C4×C73—21no—
534C2×C4×C73—21no—
535C2×C4×C73—21no—
536C2×C4×C73—21no—
537C2×C4×C73—21no—
538C2×C4×C73—21no—
539C2×C4×C73—21no—
540C2×C4×C73—21no—
541C2×C4×C73—21no—
542C2×C4×C73—21no—
543C2×C4×C73—21no—
544C2×C4×C73—21no—
545C2×C4×C73—21no—
546C2×C4×C73—21no—
547C2×C4×C73—21no—
548C2×C4×C73—21no—
549C2×C4×C73—21no—
550C2×C4×C73—21no—
551C2×C4×C73—21no—
552C2×C4×C73—21no—
553C2×C4×C73—21no—
554C2×C4×C73—21no—
555C2×C4×C73—21no—
556C2×C4×C73—21no—
557C2×C4×C73—21no—
558C2×C4×C73—21no—
559C2×C4×C73—21no—
560C2×C4×C73—21no—
561C2×C4×C73—21no—
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—44no—
607C2×C4×C73—44no—
608C2×C4×C73—44no—
609C2×C4×C73—82no—
610C2×C4×C73—82no—
611C2×C4×C73—82no—
612C2×C4×C73C2×#4112yes—
613C2×C4×C73C2×#4112yes—
614C2×C4×C73C2×#4112yes—
615C2×C4×C73C2×#4112yes—
616C2×C4×C73C2×#4112yes—
617C2×C4×C73C2×#4112yes—
618C22×C73—22no—
619C22×C73—22no—
620C22×C73—22no—
621C22×C73—22no—
622C22×C73—22no—
623C22×C73—22no—
624C22×C73—22no—
625C22×C73—22no—
626C22×C73—22no—
627C22×C73—41no—
628C22×C73—41no—
629C22×C73—41no—
630C22×C73—41no—
631C22×C73—41no—
632C22×C73—41no—
633C22×C73—41no—
634C22×C73—41no—
635C22×C73—41no—
636C22×C73—41no—
637C22×C73—41no—
638C22×C73—41no—
639C22×C73—88no—
640C22×C73C22×#4111yescharacteristic
641C22×C73C22×#4111yescharacteristic
642C22×C73C22×#4111yescharacteristic
643C22×C73#58511yescharacteristic
644C22×C73#58511yescharacteristic
645C22×C73#58511yescharacteristic
646C22×C73#58511yescharacteristic
647C4×C73—22no—
648C4×C73—22no—
649C4×C73—22no—
650C4×C73—22no—
651C4×C73—22no—
652C4×C73—22no—
653C4×C73—41no—
654C4×C73—41no—
655C4×C73—41no—
656C4×C73—41no—
657C4×C73—41no—
658C4×C73—41no—
659C4×C73—41no—
660C4×C73—41no—
661C4×C73—41no—
662C4×C73—41no—
663C4×C73—41no—
664C4×C73—41no—
665C4×C73—41no—
666C4×C73—41no—
667C4×C73—41no—
668C4×C73—41no—
669C4×C73—41no—
670C4×C73—41no—
671C4×C73—41no—
672C4×C73—41no—
673C4×C73—41no—
674C4×C73—41no—
675#59572C7311yesmaximal, characteristic, direct product factor, Sylow
676C2×C73—42no—
677C2×C73—42no—
678C2×C73—42no—
679C2×C73#347511yescharacteristic
680C2×C73#347511yescharacteristic
681C2×C73#347511yescharacteristic
682C2×C73#352111yescharacteristic
683C2×C73#352111yescharacteristic
684C2×C73#352111yescharacteristic
685C2×C73#356611yescharacteristic
686#2770C2×C7311yescharacteristic, complemented
687#2744C2×C7311yescharacteristic, complemented
688#2739C2×C7311yescharacteristic, complemented
689#2735C2×C7311yescharacteristic
690#2587C2×C7311yescharacteristic, complemented
691#2587C2×C7311yescharacteristic, complemented
692#2577C2×C7311yescharacteristic, complemented
693#2577C2×C7311yescharacteristic, complemented
694#2575C2×C7311yescharacteristic, complemented
695#2573C2×C7311yescharacteristic, complemented
696#2573C2×C7311yescharacteristic, complemented
697#2530C2×C7311yescharacteristic, complemented
698#2530C2×C7311yescharacteristic, complemented
699#2522C2×C7311yescharacteristic, complemented
700#2515C2×C7311yescharacteristic, complemented
701#2495C2×C7311yescharacteristic, complemented
702#2480C2×C7311yescharacteristic
703#2480C2×C7311yescharacteristic
704#2480C2×C7311yescharacteristic
705#2478C2×C7311yescharacteristic, complemented
706#2478C2×C7311yescharacteristic, complemented
707#2478C2×C7311yescharacteristic, complemented
708#2373C2×C7311yescharacteristic, complemented
709#2347C2×C7311yescharacteristic, complemented
710#2346C2×C7311yescharacteristic, complemented
711#2342C2×C7311yescharacteristic
712#2342C2×C7311yescharacteristic
713#2342C2×C7311yescharacteristic
714C4×#126C2×C7311yescharacteristic, complemented
715C4×#126C2×C7311yescharacteristic, complemented
716#2298C2×C7311yescharacteristic, complemented
717C73#5957211yescharacteristic, direct product factor, Sylow
718C2×#126C22×C7311yescharacteristic
719C2×#126C22×C7311yescharacteristic
720C2×#126C22×C7311yescharacteristic
721C2×#117C22×C7311yescharacteristic
722C2×#117C22×C7311yescharacteristic
723C2×#117C22×C7311yescharacteristic
724C22×C22⋊C4C22×C7311yescharacteristic
725C22×C22⋊C4C22×C7311yescharacteristic
726C22×C22⋊C4C22×C7311yescharacteristic
727#400C22×C7311yescharacteristic, complemented
728#400C22×C7311yescharacteristic, complemented
729#400C22×C7311yescharacteristic, complemented
730#400C22×C7311yescharacteristic, complemented
731#400C22×C7311yescharacteristic, complemented
732#400C22×C7311yescharacteristic, complemented
733#400C22×C7311yescharacteristic, complemented
734#400C22×C7311yescharacteristic, complemented
735#399C22×C7311yescharacteristic
736#398C22×C7311yescharacteristic, complemented
737#398C22×C7311yescharacteristic, complemented
738#398C22×C7311yescharacteristic, complemented
739#398C22×C7311yescharacteristic, complemented
740#398C22×C7311yescharacteristic, complemented
741#398C22×C7311yescharacteristic, complemented
742#397C22×C7311yescharacteristic
743#397C22×C7311yescharacteristic
744#397C22×C7311yescharacteristic
745#397C22×C7311yescharacteristic
746#397C22×C7311yescharacteristic
747#397C22×C7311yescharacteristic
748#397C22×C7311yescharacteristic
749#397C22×C7311yescharacteristic
750#397C22×C7311yescharacteristic
751#397C22×C7311yescharacteristic
752#397C22×C7311yescharacteristic
753#397C22×C7311yescharacteristic
754#396C22×C7311yescharacteristic
755#396C22×C7311yescharacteristic
756#396C22×C7311yescharacteristic
757#396C22×C7311yescharacteristic
758#396C22×C7311yescharacteristic
759#389C22×C7311yescharacteristic, complemented
760#389C22×C7311yescharacteristic, complemented
761#389C22×C7311yescharacteristic, complemented
762#389C22×C7311yescharacteristic, complemented
763#389C22×C7311yescharacteristic, complemented
764#389C22×C7311yescharacteristic, complemented
765#389C22×C7311yescharacteristic, complemented
766#389C22×C7311yescharacteristic, complemented
767#389C22×C7311yescharacteristic, complemented
768#388C22×C7311yescharacteristic
769#388C22×C7311yescharacteristic
770#388C22×C7311yescharacteristic
771#388C22×C7311yescharacteristic
772#388C22×C7311yescharacteristic
773#388C22×C7311yescharacteristic
774#388C22×C7311yescharacteristic
775#388C22×C7311yescharacteristic
776#388C22×C7311yescharacteristic
777#388C22×C7311yescharacteristic
778#388C22×C7311yescharacteristic
779#388C22×C7311yescharacteristic
780#388C22×C7311yescharacteristic
781#388C22×C7311yescharacteristic
782#388C22×C7311yescharacteristic
783#388C22×C7311yescharacteristic
784#388C22×C7311yescharacteristic
785#388C22×C7311yescharacteristic
786#388C22×C7311yescharacteristic
787#388C22×C7311yescharacteristic
788#388C22×C7311yescharacteristic
789#388C22×C7311yescharacteristic
790#388C22×C7311yescharacteristic
791#388C22×C7311yescharacteristic
792#388C22×C7311yescharacteristic
793#388C22×C7311yescharacteristic
794#388C22×C7311yescharacteristic
795#387C22×C7311yescharacteristic, complemented
796#387C22×C7311yescharacteristic, complemented
797#387C22×C7311yescharacteristic, complemented
798#387C22×C7311yescharacteristic, complemented
799#387C22×C7311yescharacteristic, complemented
800#387C22×C7311yescharacteristic, complemented
801#387C22×C7311yescharacteristic, complemented
802#387C22×C7311yescharacteristic, complemented
803#387C22×C7311yescharacteristic, complemented
804#387C22×C7311yescharacteristic, complemented
805#387C22×C7311yescharacteristic, complemented
806#387C22×C7311yescharacteristic, complemented
807#387C22×C7311yescharacteristic, complemented
808#387C22×C7311yescharacteristic, complemented
809#387C22×C7311yescharacteristic, complemented
810#387C22×C7311yescharacteristic, complemented
811#387C22×C7311yescharacteristic, complemented
812#387C22×C7311yescharacteristic, complemented
813#387C22×C7311yescharacteristic, complemented
814#387C22×C7311yescharacteristic, complemented
815#387C22×C7311yescharacteristic, complemented
816#387C22×C7311yescharacteristic, complemented
817#385C22×C7311yescharacteristic
818#385C22×C7311yescharacteristic
819#385C22×C7311yescharacteristic
820#385C22×C7311yescharacteristic
821#385C22×C7311yescharacteristic
822#385C22×C7311yescharacteristic
823#385C22×C7311yescharacteristic
824#385C22×C7311yescharacteristic
825#385C22×C7311yescharacteristic
826#385C22×C7311yescharacteristic
827#385C22×C7311yescharacteristic
828#385C22×C7311yescharacteristic
829#383C22×C7311yescharacteristic, complemented
830#383C22×C7311yescharacteristic, complemented
831#383C22×C7311yescharacteristic, complemented
832#383C22×C7311yescharacteristic, complemented
833#382C22×C7311yescharacteristic, complemented
834#382C22×C7311yescharacteristic, complemented
835#381C22×C7311yescharacteristic
836#381C22×C7311yescharacteristic
837#381C22×C7311yescharacteristic
838#380C22×C7311yescharacteristic
839#380C22×C7311yescharacteristic
840#380C22×C7311yescharacteristic
841#380C22×C7311yescharacteristic
842#380C22×C7311yescharacteristic
843#380C22×C7311yescharacteristic
844#379C22×C7311yescharacteristic
845#379C22×C7311yescharacteristic
846#379C22×C7311yescharacteristic
847#379C22×C7311yescharacteristic
848C4×C4⋊C4C22×C7311yescharacteristic, complemented
849C4×C4⋊C4C22×C7311yescharacteristic, complemented
850C4×C4⋊C4C22×C7311yescharacteristic, complemented
851C4×C4⋊C4C22×C7311yescharacteristic, complemented
852C4×C4⋊C4C22×C7311yescharacteristic, complemented
853C4×C4⋊C4C22×C7311yescharacteristic, complemented
854C4×C4⋊C4C22×C7311yescharacteristic, complemented
855C4×C4⋊C4C22×C7311yescharacteristic, complemented
856C4×C4⋊C4C22×C7311yescharacteristic, complemented
857C4×C4⋊C4C22×C7311yescharacteristic, complemented
858C4×C22⋊C4C22×C7311yescharacteristic
859C4×C22⋊C4C22×C7311yescharacteristic
860C4×C22⋊C4C22×C7311yescharacteristic
861C4×C22⋊C4C22×C7311yescharacteristic
862C4×C22⋊C4C22×C7311yescharacteristic
863C4×C22⋊C4C22×C7311yescharacteristic
864C4×C22⋊C4C22×C7311yescharacteristic
865C4×C22⋊C4C22×C7311yescharacteristic
866C4×C22⋊C4C22×C7311yescharacteristic
867C4×C22⋊C4C22×C7311yescharacteristic
868C4×C22⋊C4C22×C7311yescharacteristic
869C4×C22⋊C4C22×C7311yescharacteristic
870#376C22×C7311yescharacteristic, complemented
871#376C22×C7311yescharacteristic, complemented
872C43C22×C7311yescharacteristic, complemented
873C25C23×C7311yescharacteristic
874C23×C4C23×C7311yescharacteristic
875C23×C4C23×C7311yescharacteristic
876C23×C4C23×C7311yescharacteristic
877C23×C4C23×C7311yescharacteristic
878C23×C4C23×C7311yescharacteristic
879C23×C4C23×C7311yescharacteristic
880#126—24no—
881#126—24no—
882#126—24no—
883#117—24no—
884#117—24no—
885#117—24no—
886C2×C4⋊C4C23×C7311yescharacteristic
887C2×C4⋊C4C23×C7311yescharacteristic
888C2×C4⋊C4C23×C7311yescharacteristic
889C2×C4⋊C4C23×C7311yescharacteristic
890C2×C4⋊C4C23×C7311yescharacteristic
891C2×C4⋊C4C23×C7311yescharacteristic
892C2×C4⋊C4C23×C7311yescharacteristic
893C2×C4⋊C4C23×C7311yescharacteristic
894C2×C4⋊C4C23×C7311yescharacteristic
895C2×C4⋊C4C23×C7311yescharacteristic
896C2×C4⋊C4C23×C7311yescharacteristic
897C2×C4⋊C4C23×C7311yescharacteristic
898C2×C4⋊C4C23×C7311yescharacteristic
899C2×C4⋊C4C23×C7311yescharacteristic
900C2×C4⋊C4C23×C7311yescharacteristic
901C2×C4⋊C4C23×C7311yescharacteristic
902C2×C4⋊C4C23×C7311yescharacteristic
903C2×C4⋊C4C23×C7311yescharacteristic
904C2×C4⋊C4C23×C7311yescharacteristic
905C2×C4⋊C4C23×C7311yescharacteristic
906C2×C4⋊C4C23×C7311yescharacteristic
907C2×C4⋊C4C23×C7311yescharacteristic
908C2×C4⋊C4C23×C7311yescharacteristic
909C2×C4⋊C4C23×C7311yescharacteristic
910C2×C4⋊C4C23×C7311yescharacteristic
911C2×C4⋊C4C23×C7311yescharacteristic
912C2×C4⋊C4C23×C7311yescharacteristic
913C2×C4⋊C4C23×C7311yescharacteristic
914C2×C4⋊C4C23×C7311yescharacteristic
915C2×C4⋊C4C23×C7311yescharacteristic
916C2×C4⋊C4C23×C7311yescharacteristic
917C2×C4⋊C4C23×C7311yescharacteristic
918C2×C4⋊C4C23×C7311yescharacteristic
919C2×C4⋊C4C23×C7311yescharacteristic
920C2×C4⋊C4C23×C7311yescharacteristic
921C2×C4⋊C4C23×C7311yescharacteristic
922C2×C22⋊C4—24no—
923C2×C22⋊C4—24no—
924C2×C22⋊C4—24no—
925C2×C22⋊C4C23×C7311yescharacteristic
926C2×C22⋊C4C23×C7311yescharacteristic
927C2×C22⋊C4C23×C7311yescharacteristic
928C2×C22⋊C4C23×C7311yescharacteristic
929C2×C22⋊C4C23×C7311yescharacteristic
930C2×C22⋊C4C23×C7311yescharacteristic
931C2×C22⋊C4C23×C7311yescharacteristic
932C2×C22⋊C4C23×C7311yescharacteristic
933C2×C22⋊C4C23×C7311yescharacteristic
934C2×C22⋊C4C23×C7311yescharacteristic
935C2×C22⋊C4C23×C7311yescharacteristic
936C2×C22⋊C4C23×C7311yescharacteristic
937C2×C22⋊C4C23×C7311yescharacteristic
938C2×C22⋊C4C23×C7311yescharacteristic
939C2×C22⋊C4C23×C7311yescharacteristic
940C2×C22⋊C4C23×C7311yescharacteristic
941C2×C22⋊C4C23×C7311yescharacteristic
942C2×C22⋊C4C23×C7311yescharacteristic
943C2×C22⋊C4C23×C7311yescharacteristic
944C2×C22⋊C4C23×C7311yescharacteristic
945C2×C22⋊C4C23×C7311yescharacteristic
946C2×C22⋊C4C23×C7311yescharacteristic
947C2×C22⋊C4C23×C7311yescharacteristic
948C2×C22⋊C4C23×C7311yescharacteristic
949C2×C22⋊C4C23×C7311yescharacteristic
950C2×C22⋊C4C23×C7311yescharacteristic
951C2×C22⋊C4C23×C7311yescharacteristic
952C2×C22⋊C4C23×C7311yescharacteristic
953C2×C22⋊C4C23×C7311yescharacteristic
954C2×C22⋊C4C23×C7311yescharacteristic
955C2×C22⋊C4C23×C7311yescharacteristic
956C2×C22⋊C4C23×C7311yescharacteristic
957C2×C22⋊C4C23×C7311yescharacteristic
958C2×C22⋊C4C23×C7311yescharacteristic
959C2×C22⋊C4C23×C7311yescharacteristic
960C2×C22⋊C4C23×C7311yescharacteristic
961C2×C42C23×C7311yescharacteristic
962C2×C42C23×C7311yescharacteristic
963C2×C42C23×C7311yescharacteristic
964C2×C42C23×C7311yescharacteristic
965C2×C42C23×C7311yescharacteristic
966C2×C42C23×C7311yescharacteristic
967C2×C42C23×C7311yescharacteristic
968C2×C42C23×C7311yescharacteristic
969C2×C42C23×C7311yescharacteristic
970C2×C42C23×C7311yescharacteristic
971C2×C42C23×C7311yescharacteristic
972C2×C42C23×C7311yescharacteristic
973C2×C42C23×C7311yescharacteristic
974C2×C42C23×C7311yescharacteristic
975C2×C42C23×C7311yescharacteristic
976C2×C42C23×C7311yescharacteristic
977C2×C42C23×C7311yescharacteristic
978C2×C42C23×C7311yescharacteristic
979C2×C42C23×C7311yescharacteristic
980C2×C42C23×C7311yescharacteristic
981#95C23×C7311yescharacteristic
982#95C23×C7311yescharacteristic
983#95C23×C7311yescharacteristic
984#95C23×C7311yescharacteristic
985#95C23×C7311yescharacteristic
986#95C23×C7311yescharacteristic
987#95C23×C7311yescharacteristic
988#95C23×C7311yescharacteristic
989#95C23×C7311yescharacteristic
990#95C23×C7311yescharacteristic
991#95C23×C7311yescharacteristic
992#95C23×C7311yescharacteristic
993#95C23×C7311yescharacteristic
994#95C23×C7311yescharacteristic
995#95C23×C7311yescharacteristic
996#95C23×C7311yescharacteristic
997#95C23×C7311yescharacteristic
998#95C23×C7311yescharacteristic
999#95C23×C7311yescharacteristic
1000#95C23×C7311yescharacteristic
1001#95C23×C7311yescharacteristic
1002#95C23×C7311yescharacteristic
1003#95C23×C7311yescharacteristic
1004#95C23×C7311yescharacteristic
1005#95C23×C7311yescharacteristic
1006#95C23×C7311yescharacteristic
1007#95C23×C7311yescharacteristic
1008#95C23×C7311yescharacteristic
1009#95C23×C7311yescharacteristic
1010#95C23×C7311yescharacteristic
1011#95C23×C7311yescharacteristic
1012#95C23×C7311yescharacteristic
1013#95C23×C7311yescharacteristic
1014#95C23×C7311yescharacteristic
1015#95C23×C7311yescharacteristic
1016#95C23×C7311yescharacteristic
1017#95C23×C7311yescharacteristic
1018#95C23×C7311yescharacteristic
1019#95C23×C7311yescharacteristic
1020#95C23×C7311yescharacteristic
1021#95C23×C7311yescharacteristic
1022#95C23×C7311yescharacteristic
1023#95C23×C7311yescharacteristic
1024#95C23×C7311yescharacteristic
1025#95C23×C7311yescharacteristic
1026#95C23×C7311yescharacteristic
1027#95C23×C7311yescharacteristic
1028#95C23×C7311yescharacteristic
1029#95C23×C7311yescharacteristic
1030#95C23×C7311yescharacteristic
1031#95C23×C7311yescharacteristic
1032#95C23×C7311yescharacteristic
1033#95C23×C7311yescharacteristic
1034#95C23×C7311yescharacteristic
1035#95C23×C7311yescharacteristic
1036#95C23×C7311yescharacteristic
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—41no—
1041C24—41no—
1042C24—41no—
1043C24—41no—
1044C24C24×C7311yescharacteristic
1045C24C24×C7311yescharacteristic
1046C24C24×C7311yescharacteristic
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4C24×C7311yescharacteristic
1066C22×C4C24×C7311yescharacteristic
1067C22×C4C24×C7311yescharacteristic
1068C22×C4C24×C7311yescharacteristic
1069C22×C4C24×C7311yescharacteristic
1070C22×C4C24×C7311yescharacteristic
1071C22×C4C24×C7311yescharacteristic
1072C22×C4C24×C7311yescharacteristic
1073C22×C4C24×C7311yescharacteristic
1074C22×C4C24×C7311yescharacteristic
1075C22×C4C24×C7311yescharacteristic
1076C22×C4C24×C7311yescharacteristic
1077C22×C4C24×C7311yescharacteristic
1078C22×C4C24×C7311yescharacteristic
1079C22×C4C24×C7311yescharacteristic
1080C22×C4C24×C7311yescharacteristic
1081C22×C4C24×C7311yescharacteristic
1082C22×C4C24×C7311yescharacteristic
1083C22×C4C24×C7311yescharacteristic
1084C22×C4C24×C7311yescharacteristic
1085C22×C4C24×C7311yescharacteristic
1086C22×C4C24×C7311yescharacteristic
1087C22×C4C24×C7311yescharacteristic
1088C22×C4C24×C7311yescharacteristic
1089C22×C4C24×C7311yescharacteristic
1090C22×C4C24×C7311yescharacteristic
1091C22×C4C24×C7311yescharacteristic
1092C22×C4C24×C7311yescharacteristic
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4#41×C7314yes—
1163C22⋊C4#41×C7314yes—
1164C22⋊C4#41×C7314yes—
1165C42—22no—
1166C42—22no—
1167C42—22no—
1168C42—22no—
1169C42—22no—
1170C42—22no—
1171C42—22no—
1172C42—22no—
1173C42—22no—
1174C42—41no—
1175C42—41no—
1176C42—41no—
1177C42—41no—
1178C42—41no—
1179C42—41no—
1180C42—41no—
1181C42—41no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—44no—
1204C23—44no—
1205C23—44no—
1206C23—82no—
1207C23—82no—
1208C23—82no—
1209C23—82no—
1210C23C2×#41×C7312yes—
1211C23C2×#41×C7312yes—
1212C23C2×#41×C7312yes—
1213C23C25×C7311yescharacteristic
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—44no—
1293C2×C4—44no—
1294C2×C4—44no—
1295C2×C4—82no—
1296C2×C4—82no—
1297C2×C4—82no—
1298C2×C4C2×#41×C7312yes—
1299C2×C4C2×#41×C7312yes—
1300C2×C4C2×#41×C7312yes—
1301C2×C4C2×#41×C7312yes—
1302C2×C4C2×#41×C7312yes—
1303C2×C4C2×#41×C7312yes—
1304C22—22no—
1305C22—22no—
1306C22—22no—
1307C22—22no—
1308C22—22no—
1309C22—22no—
1310C22—22no—
1311C22—22no—
1312C22—22no—
1313C22—41no—
1314C22—41no—
1315C22—41no—
1316C22—41no—
1317C22—41no—
1318C22—41no—
1319C22—41no—
1320C22—41no—
1321C22—41no—
1322C22—41no—
1323C22—41no—
1324C22—41no—
1325C22—88no—
1326C22C22×#41×C7311yescharacteristic
1327C22C22×#41×C7311yescharacteristic
1328C22C22×#41×C7311yescharacteristic
1329C22#585×C7311yescharacteristic
1330C22#585×C7311yescharacteristic
1331C22#585×C7311yescharacteristic
1332C22#585×C7311yescharacteristic
1333C4—22no—
1334C4—22no—
1335C4—22no—
1336C4—22no—
1337C4—22no—
1338C4—22no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C4—41no—
1343C4—41no—
1344C4—41no—
1345C4—41no—
1346C4—41no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C4—41no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C2—42no—
1362C2—42no—
1363C2—42no—
1364C2C73×#347511yescharacteristic
1365C2C73×#347511yescharacteristic
1366C2C73×#347511yescharacteristic
1367C2C73×#352111yescharacteristic
1368C2C73×#352111yescharacteristic
1369C2C73×#352111yescharacteristic
1370C2C73×#356611yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC25×C73C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2770C2semidirect
2. C73×#2744C2semidirect
3. C73×#2739C2semidirect
5. C73×#2587C2semidirect
6. C73×#2587C2semidirect
7. C73×#2577C2semidirect
8. C73×#2577C2semidirect
9. C73×#2575C2semidirect
10. C73×#2573C2semidirect
11. C73×#2573C2semidirect
12. C73×#2530C2semidirect
13. C73×#2530C2semidirect
14. C73×#2522C2semidirect
15. C73×#2515C2semidirect
16. C73×#2495C2semidirect
20. C73×#2478C2semidirect
21. C73×#2478C2semidirect
22. C73×#2478C2semidirect
23. C73×#2373C2semidirect
24. C73×#2347C2semidirect
25. C73×#2346C2semidirect
29. C4×#126×C73C2semidirect
30. C4×#126×C73C2semidirect
31. C73×#2298C2semidirect
41. #400×C73C22semidirect
42. #400×C73C22semidirect
43. #400×C73C22semidirect
44. #400×C73C22semidirect
45. #400×C73C22semidirect
46. #400×C73C22semidirect
47. #400×C73C22semidirect
48. #400×C73C22semidirect
50. #398×C73C22semidirect
51. #398×C73C22semidirect
52. #398×C73C22semidirect
53. #398×C73C22semidirect
54. #398×C73C22semidirect
55. #398×C73C22semidirect
73. #389×C73C22semidirect
74. #389×C73C22semidirect
75. #389×C73C22semidirect
76. #389×C73C22semidirect
77. #389×C73C22semidirect
78. #389×C73C22semidirect
79. #389×C73C22semidirect
80. #389×C73C22semidirect
81. #389×C73C22semidirect
109. #387×C73C22semidirect
110. #387×C73C22semidirect
111. #387×C73C22semidirect
112. #387×C73C22semidirect
113. #387×C73C22semidirect
114. #387×C73C22semidirect
115. #387×C73C22semidirect
116. #387×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. #383×C73C22semidirect
144. #383×C73C22semidirect
145. #383×C73C22semidirect
146. #383×C73C22semidirect
147. #382×C73C22semidirect
148. #382×C73C22semidirect
162. C4×C4⋊C4×C73C22semidirect
163. C4×C4⋊C4×C73C22semidirect
164. C4×C4⋊C4×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
184. #376×C73C22semidirect
185. #376×C73C22semidirect
186. C43×C73C22semidirect
675. #59572C73direct (N × H)
686. #2770C2×C73semidirect
687. #2744C2×C73semidirect
688. #2739C2×C73semidirect
690. #2587C2×C73semidirect
691. #2587C2×C73semidirect
692. #2577C2×C73semidirect
693. #2577C2×C73semidirect
694. #2575C2×C73semidirect
695. #2573C2×C73semidirect
696. #2573C2×C73semidirect
697. #2530C2×C73semidirect
698. #2530C2×C73semidirect
699. #2522C2×C73semidirect
700. #2515C2×C73semidirect
701. #2495C2×C73semidirect
705. #2478C2×C73semidirect
706. #2478C2×C73semidirect
707. #2478C2×C73semidirect
708. #2373C2×C73semidirect
709. #2347C2×C73semidirect
710. #2346C2×C73semidirect
714. C4×#126C2×C73semidirect
715. C4×#126C2×C73semidirect
716. #2298C2×C73semidirect
717. C73#59572direct (N × H)
727. #400C22×C73semidirect
728. #400C22×C73semidirect
729. #400C22×C73semidirect
730. #400C22×C73semidirect
731. #400C22×C73semidirect
732. #400C22×C73semidirect
733. #400C22×C73semidirect
734. #400C22×C73semidirect
736. #398C22×C73semidirect
737. #398C22×C73semidirect
738. #398C22×C73semidirect
739. #398C22×C73semidirect
740. #398C22×C73semidirect
741. #398C22×C73semidirect
759. #389C22×C73semidirect
760. #389C22×C73semidirect
761. #389C22×C73semidirect
762. #389C22×C73semidirect
763. #389C22×C73semidirect
764. #389C22×C73semidirect
765. #389C22×C73semidirect
766. #389C22×C73semidirect
767. #389C22×C73semidirect
795. #387C22×C73semidirect
796. #387C22×C73semidirect
797. #387C22×C73semidirect
798. #387C22×C73semidirect
799. #387C22×C73semidirect
800. #387C22×C73semidirect
801. #387C22×C73semidirect
802. #387C22×C73semidirect
803. #387C22×C73semidirect
804. #387C22×C73semidirect
805. #387C22×C73semidirect
806. #387C22×C73semidirect
807. #387C22×C73semidirect
808. #387C22×C73semidirect
809. #387C22×C73semidirect
810. #387C22×C73semidirect
811. #387C22×C73semidirect
812. #387C22×C73semidirect
813. #387C22×C73semidirect
814. #387C22×C73semidirect
815. #387C22×C73semidirect
816. #387C22×C73semidirect
829. #383C22×C73semidirect
830. #383C22×C73semidirect
831. #383C22×C73semidirect
832. #383C22×C73semidirect
833. #382C22×C73semidirect
834. #382C22×C73semidirect
848. C4×C4⋊C4C22×C73semidirect
849. C4×C4⋊C4C22×C73semidirect
850. C4×C4⋊C4C22×C73semidirect
851. C4×C4⋊C4C22×C73semidirect
852. C4×C4⋊C4C22×C73semidirect
853. C4×C4⋊C4C22×C73semidirect
854. C4×C4⋊C4C22×C73semidirect
855. C4×C4⋊C4C22×C73semidirect
856. C4×C4⋊C4C22×C73semidirect
857. C4×C4⋊C4C22×C73semidirect
870. #376C22×C73semidirect
871. #376C22×C73semidirect
872. C43C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#27702
C73×#27442
C73×#27392
C73×#27352
C73×#25872
C73×#25772
C73×#25752
C73×#25732
C73×#25302
C73×#25222
C73×#25152
C73×#24952
C73×#24802
C73×#24782
C73×#23732
C73×#23472
C73×#23462
C73×#23422
C4×#126×C732
C73×#22982
#5957273