Finite Group Databasebeta

← C73×#34999 #32944403

Subgroups — C73×#34999 #32944403

Order 18688.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2855C211yesmaximal, characteristic, complemented
2C73×#2853C211yesmaximal, characteristic, complemented
3C73×#2852C211yesmaximal, characteristic, complemented
4C73×#2851C211yesmaximal, characteristic, complemented
5C73×#2653C211yesmaximal, characteristic, complemented
6C73×#2652C211yesmaximal, characteristic, complemented
7C73×#2652C211yesmaximal, characteristic, complemented
8C73×#2649C211yesmaximal, characteristic, complemented
9C73×#2523C211yesmaximal, characteristic, complemented
10C73×#2517C211yesmaximal, characteristic, complemented
11C73×#2505C211yesmaximal, characteristic, complemented
12C73×#2493C211yesmaximal, characteristic, complemented
13C73×#2493C211yesmaximal, characteristic, complemented
14C73×#2488C211yesmaximal, characteristic, complemented
15C73×#2483C211yesmaximal, characteristic, complemented
16C73×#2481C211yesmaximal, characteristic, complemented
17C73×#2473C211yesmaximal, characteristic, complemented
18C73×#2466C211yesmaximal, characteristic, complemented
19C73×#2460C211yesmaximal, characteristic, complemented
20C73×#2450C211yesmaximal, characteristic, complemented
21C73×#2437C211yesmaximal, characteristic, complemented
22C73×#2419C211yesmaximal, characteristic, complemented
23C73×#2412C211yesmaximal, characteristic
24C73×#2412C211yesmaximal, characteristic
25C73×#2329C211yesmaximal, characteristic, complemented
26C73×#2322C211yesmaximal, characteristic, complemented
27C73×#2318C211yesmaximal, characteristic, complemented
28C73×#2313C211yesmaximal, characteristic, complemented
29C4×#120×C73C211yesmaximal, characteristic
30C2×#385×C73C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C73C211yesmaximal, characteristic, complemented
32C24×C4×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic, complemented
34C2×#125×C73C2211yescharacteristic, complemented
35C2×#123×C73C2211yescharacteristic
36C2×#123×C73C2211yescharacteristic
37C2×C22⋊Q8×C73C2211yescharacteristic
38C2×C22⋊Q8×C73C2211yescharacteristic
39C2×#120×C73C2211yescharacteristic
40C2×C4×D4×C73C2211yescharacteristic
41C2×C4×D4×C73C2211yescharacteristic
42C2×C4×D4×C73C2211yescharacteristic
43C22×C4⋊C4×C73C2211yescharacteristic
44C22×C4⋊C4×C73C2211yescharacteristic
45C22×C22⋊C4×C73C2211yescharacteristic
46C22×C22⋊C4×C73C2211yescharacteristic
47C22×C22⋊C4×C73C2211yescharacteristic
48C22×C22⋊C4×C73C2211yescharacteristic
49C22×C42×C73C2211yescharacteristic
50C22×C42×C73C2211yescharacteristic
51#401×C73C2211yescharacteristic, complemented
52#400×C73C2211yescharacteristic, complemented
53#400×C73C2211yescharacteristic, complemented
54#400×C73C2211yescharacteristic, complemented
55#400×C73C2211yescharacteristic, complemented
56#400×C73C2211yescharacteristic, complemented
57#400×C73C2211yescharacteristic, complemented
58#400×C73C2211yescharacteristic, complemented
59#400×C73C2211yescharacteristic, complemented
60#399×C73C2211yescharacteristic
61#398×C73C2211yescharacteristic, complemented
62#398×C73C2211yescharacteristic, complemented
63#398×C73C2211yescharacteristic, complemented
64#397×C73C2211yescharacteristic
65#397×C73C2211yescharacteristic
66#397×C73C2211yescharacteristic
67#397×C73C2211yescharacteristic
68#397×C73C2211yescharacteristic
69#397×C73C2211yescharacteristic
70#397×C73C2211yescharacteristic
71#397×C73C2211yescharacteristic
72#397×C73C2211yescharacteristic, complemented
73#397×C73C2211yescharacteristic, complemented
74#396×C73C2211yescharacteristic
75#396×C73C2211yescharacteristic
76#396×C73C2211yescharacteristic, complemented
77#394×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
79#394×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#393×C73C2211yescharacteristic
82#393×C73C2211yescharacteristic, complemented
83#391×C73C2211yescharacteristic, complemented
84#391×C73C2211yescharacteristic, complemented
85#391×C73C2211yescharacteristic, complemented
86#389×C73C2211yescharacteristic, complemented
87#389×C73C2211yescharacteristic, complemented
88#389×C73C2211yescharacteristic, complemented
89#389×C73C2211yescharacteristic, complemented
90#389×C73C2211yescharacteristic, complemented
91#388×C73C2211yescharacteristic, complemented
92#388×C73C2211yescharacteristic, complemented
93#388×C73C2211yescharacteristic, complemented
94#388×C73C2211yescharacteristic, complemented
95#388×C73C2211yescharacteristic, complemented
96#388×C73C2211yescharacteristic, complemented
97#388×C73C2211yescharacteristic, complemented
98#387×C73C2211yescharacteristic, complemented
99#387×C73C2211yescharacteristic, complemented
100#387×C73C2211yescharacteristic, complemented
101#387×C73C2211yescharacteristic, complemented
102#387×C73C2211yescharacteristic, complemented
103#387×C73C2211yescharacteristic, complemented
104#387×C73C2211yescharacteristic, complemented
105#387×C73C2211yescharacteristic, complemented
106#387×C73C2211yescharacteristic, complemented
107#387×C73C2211yescharacteristic, complemented
108#387×C73C2211yescharacteristic, complemented
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#386×C73C2211yescharacteristic
122#386×C73C2211yescharacteristic
123#386×C73C2211yescharacteristic
124#386×C73C2211yescharacteristic
125#386×C73C2211yescharacteristic
126#386×C73C2211yescharacteristic
127#386×C73C2211yescharacteristic
128#386×C73C2211yescharacteristic
129#386×C73C2211yescharacteristic
130#385×C73C2211yescharacteristic
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#385×C73C2211yescharacteristic
144#385×C73C2211yescharacteristic
145#385×C73C2211yescharacteristic
146#385×C73C2211yescharacteristic
147#385×C73C2211yescharacteristic
148#385×C73C2211yescharacteristic
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic, complemented
152#385×C73C2211yescharacteristic, complemented
153#383×C73C2211yescharacteristic, complemented
154#383×C73C2211yescharacteristic, complemented
155#382×C73C2211yescharacteristic, complemented
156#382×C73C2211yescharacteristic, complemented
157#381×C73C2211yescharacteristic
158#381×C73C2211yescharacteristic
159#381×C73C2211yescharacteristic
160#381×C73C2211yescharacteristic
161#381×C73C2211yescharacteristic
162#381×C73C2211yescharacteristic
163#381×C73C2211yescharacteristic, complemented
164#380×C73C2211yescharacteristic
165#380×C73C2211yescharacteristic
166#380×C73C2211yescharacteristic
167#380×C73C2211yescharacteristic
168#380×C73C2211yescharacteristic
169#380×C73C2211yescharacteristic
170#380×C73C2211yescharacteristic, complemented
171#379×C73C2211yescharacteristic
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
183C2×#95×C73C2211yescharacteristic
184C2×#95×C73C2211yescharacteristic
185C2×#95×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C25×C73C2311yescharacteristic
188C22×Q8×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C23×C4×C73—24no—
193C23×C4×C73—42no—
194C23×C4×C73—42no—
195C23×C4×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
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210#126×C73—42no—
211#125×C73—42no—
212#123×C73—24no—
213#123×C73—42no—
214C22⋊Q8×C73—24no—
215C22⋊Q8×C73—42no—
216#120×C73—24no—
217C4×D4×C73—24no—
218C4×D4×C73—42no—
219C4×D4×C73—42no—
220C2×C4⋊C4×C73—24no—
221C2×C4⋊C4×C73—42no—
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×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C4⋊C4×C73C2311yescharacteristic
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C22⋊C4×C73—24no—
255C2×C22⋊C4×C73—24no—
256C2×C22⋊C4×C73—24no—
257C2×C22⋊C4×C73—42no—
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×C42×C73—42no—
295C2×C42×C73—42no—
296C2×C42×C73C2311yescharacteristic
297C2×C42×C73C2311yescharacteristic
298C2×C42×C73C2311yescharacteristic
299C2×C42×C73C2311yescharacteristic
300C2×C42×C73C2311yescharacteristic
301C2×C42×C73C2311yescharacteristic
302C2×C42×C73C2311yescharacteristic
303C2×C42×C73C2311yescharacteristic
304C2×C42×C73C2311yescharacteristic
305C2×C42×C73C2311yescharacteristic
306C2×C42×C73C2311yescharacteristic
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
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—41no—
368C24×C73—41no—
369C24×C73#4114yes—
370C24×C73C2411yescharacteristic
371C24×C73C2411yescharacteristic
372C24×C73C2411yescharacteristic
373C24×C73C2411yescharacteristic
374C2×Q8×C73—22no—
375C2×Q8×C73—41no—
376C2×Q8×C73—41no—
377C2×D4×C73—22no—
378C2×D4×C73—22no—
379C2×D4×C73—22no—
380C2×D4×C73—22no—
381C2×D4×C73—22no—
382C2×D4×C73—22no—
383C2×D4×C73—22no—
384C2×D4×C73—41no—
385C2×D4×C73—41no—
386C22×C4×C73—22no—
387C22×C4×C73—22no—
388C22×C4×C73—22no—
389C22×C4×C73—22no—
390C22×C4×C73—22no—
391C22×C4×C73—22no—
392C22×C4×C73—22no—
393C22×C4×C73—22no—
394C22×C4×C73—22no—
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—41no—
412C22×C4×C73—41no—
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×C73—41no—
429C22×C4×C73—41no—
430C22×C4×C73—416no—
431C22×C4×C73#4114yes—
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
454C22×C4×C73C2411yescharacteristic
455C22×C4×C73C2411yescharacteristic
456C22×C4×C73C2411yescharacteristic
457C22×C4×C73C2411yescharacteristic
458C22×C4×C73C2411yescharacteristic
459C4⋊C4×C73—22no—
460C4⋊C4×C73—22no—
461C4⋊C4×C73—22no—
462C4⋊C4×C73—22no—
463C4⋊C4×C73—22no—
464C4⋊C4×C73—22no—
465C4⋊C4×C73—22no—
466C4⋊C4×C73—22no—
467C4⋊C4×C73—22no—
468C4⋊C4×C73—22no—
469C4⋊C4×C73—22no—
470C4⋊C4×C73—22no—
471C4⋊C4×C73—22no—
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—
484C4⋊C4×C73—41no—
485C4⋊C4×C73—41no—
486C4⋊C4×C73—41no—
487C4⋊C4×C73—41no—
488C4⋊C4×C73—41no—
489C4⋊C4×C73—41no—
490C4⋊C4×C73—41no—
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—22no—
508C22⋊C4×C73—22no—
509C22⋊C4×C73—22no—
510C22⋊C4×C73—22no—
511C22⋊C4×C73—22no—
512C22⋊C4×C73—22no—
513C22⋊C4×C73—22no—
514C22⋊C4×C73—22no—
515C22⋊C4×C73—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#4114yes—
527C42×C73—22no—
528C42×C73—22no—
529C42×C73—22no—
530C42×C73—41no—
531C42×C73—41no—
532C42×C73—41no—
533C42×C73—41no—
534C42×C73—41no—
535C42×C73—41no—
536C42×C73—41no—
537C42×C73—41no—
538C23×C73—21no—
539C23×C73—21no—
540C23×C73—21no—
541C23×C73—21no—
542C23×C73—21no—
543C23×C73—21no—
544C23×C73—21no—
545C23×C73—21no—
546C23×C73—28no—
547C23×C73—28no—
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—44no—
562C23×C73—44no—
563C23×C73—44no—
564C23×C73—44no—
565C23×C73—44no—
566C23×C73C2×#4112yes—
567C23×C73C2×#4112yes—
568C23×C73C2×#4112yes—
569C23×C73C2×#4112yes—
570C23×C73C2×#4112yes—
571C23×C73H(5,𝔽2)12yes—
572C23×C732−1+412yes—
573C23×C73C2511yescharacteristic
574Q8×C73—82no—
575D4×C73—44no—
576D4×C73—44no—
577D4×C73—44no—
578C2×C4×C73—28no—
579C2×C4×C73—21no—
580C2×C4×C73—21no—
581C2×C4×C73—21no—
582C2×C4×C73—21no—
583C2×C4×C73—21no—
584C2×C4×C73—21no—
585C2×C4×C73—21no—
586C2×C4×C73—21no—
587C2×C4×C73—21no—
588C2×C4×C73—21no—
589C2×C4×C73—21no—
590C2×C4×C73—21no—
591C2×C4×C73—21no—
592C2×C4×C73—21no—
593C2×C4×C73—21no—
594C2×C4×C73—21no—
595C2×C4×C73—21no—
596C2×C4×C73—21no—
597C2×C4×C73—21no—
598C2×C4×C73—21no—
599C2×C4×C73—21no—
600C2×C4×C73—21no—
601C2×C4×C73—21no—
602C2×C4×C73—21no—
603C2×C4×C73—21no—
604C2×C4×C73—21no—
605C2×C4×C73—21no—
606C2×C4×C73—21no—
607C2×C4×C73—21no—
608C2×C4×C73—21no—
609C2×C4×C73—21no—
610C2×C4×C73—21no—
611C2×C4×C73—21no—
612C2×C4×C73—21no—
613C2×C4×C73—21no—
614C2×C4×C73—21no—
615C2×C4×C73—21no—
616C2×C4×C73—21no—
617C2×C4×C73—21no—
618C2×C4×C73—21no—
619C2×C4×C73—21no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—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—44no—
656C2×C4×C73—44no—
657C2×C4×C73—44no—
658C2×C4×C73—44no—
659C2×C4×C73—44no—
660C2×C4×C73—44no—
661C2×C4×C73—44no—
662C2×C4×C73—44no—
663C2×C4×C73—44no—
664C2×C4×C73—44no—
665C2×C4×C73—44no—
666C2×C4×C73—82no—
667C2×C4×C73—82no—
668C2×C4×C73—82no—
669C2×C4×C73C2×#4112yes—
670C2×C4×C73C2×#4112yes—
671C2×C4×C73C2×#4112yes—
672C2×C4×C73C2×#4112yes—
673C2×C4×C73H(5,𝔽2)12yes—
674C22×C73—22no—
675C22×C73—22no—
676C22×C73—22no—
677C22×C73—22no—
678C22×C73—22no—
679C22×C73—22no—
680C22×C73—22no—
681C22×C73—22no—
682C22×C73—22no—
683C22×C73—22no—
684C22×C73—22no—
685C22×C73—22no—
686C22×C73—22no—
687C22×C73—22no—
688C22×C73—22no—
689C22×C73—416no—
690C22×C73—41no—
691C22×C73—41no—
692C22×C73—41no—
693C22×C73—41no—
694C22×C73—41no—
695C22×C73—41no—
696C22×C73—41no—
697C22×C73—41no—
698C22×C73—41no—
699C22×C73—41no—
700C22×C73—41no—
701C22×C73#52914yes—
702C22×C73#53914yes—
703C22×C73C22×#4111yescharacteristic
704C22×C73C22×#4111yescharacteristic
705C22×C73C22×#4111yescharacteristic
706C22×C73C2×H(5,𝔽2)11yescharacteristic
707C22×C73C2×H(5,𝔽2)11yescharacteristic
708C22×C73C2×2−1+411yescharacteristic
709C22×C73#58511yescharacteristic
710C4×C73—22no—
711C4×C73—22no—
712C4×C73—22no—
713C4×C73—22no—
714C4×C73—22no—
715C4×C73—41no—
716C4×C73—41no—
717C4×C73—41no—
718C4×C73—41no—
719C4×C73—41no—
720C4×C73—41no—
721C4×C73—41no—
722C4×C73—41no—
723C4×C73—41no—
724C4×C73—41no—
725C4×C73—41no—
726C4×C73—41no—
727C4×C73—41no—
728C4×C73—41no—
729C4×C73—41no—
730C4×C73—41no—
731C4×C73—41no—
732C4×C73—41no—
733C4×C73—41no—
734C4×C73—41no—
735C4×C73—41no—
736C4×C73—41no—
737#34999C7311yesmaximal, characteristic, direct product factor, Sylow
738C2×C73—24no—
739C2×C73—24no—
740C2×C73—42no—
741C2×C73—81no—
742C2×C73C2×#52911yescharacteristic
743C2×C73C2×#53911yescharacteristic
744C2×C73#345911yescharacteristic
745C2×C73#349011yescharacteristic
746C2×C73#349511yescharacteristic
747C2×C73#351311yescharacteristic
748C2×C73#352011yescharacteristic
749#2855C2×C7311yescharacteristic, complemented
750#2853C2×C7311yescharacteristic, complemented
751#2852C2×C7311yescharacteristic, complemented
752#2851C2×C7311yescharacteristic, complemented
753#2653C2×C7311yescharacteristic, complemented
754#2652C2×C7311yescharacteristic, complemented
755#2652C2×C7311yescharacteristic, complemented
756#2649C2×C7311yescharacteristic, complemented
757#2523C2×C7311yescharacteristic, complemented
758#2517C2×C7311yescharacteristic, complemented
759#2505C2×C7311yescharacteristic, complemented
760#2493C2×C7311yescharacteristic, complemented
761#2493C2×C7311yescharacteristic, complemented
762#2488C2×C7311yescharacteristic, complemented
763#2483C2×C7311yescharacteristic, complemented
764#2481C2×C7311yescharacteristic, complemented
765#2473C2×C7311yescharacteristic, complemented
766#2466C2×C7311yescharacteristic, complemented
767#2460C2×C7311yescharacteristic, complemented
768#2450C2×C7311yescharacteristic, complemented
769#2437C2×C7311yescharacteristic, complemented
770#2419C2×C7311yescharacteristic, complemented
771#2412C2×C7311yescharacteristic
772#2412C2×C7311yescharacteristic
773#2329C2×C7311yescharacteristic, complemented
774#2322C2×C7311yescharacteristic, complemented
775#2318C2×C7311yescharacteristic, complemented
776#2313C2×C7311yescharacteristic, complemented
777C4×#120C2×C7311yescharacteristic
778C2×#385C2×C7311yescharacteristic, complemented
779C2×C4×C22⋊C4C2×C7311yescharacteristic, complemented
780C73#3499911yescharacteristic, direct product factor, Sylow
781C24×C4C22×C7311yescharacteristic
782C2×#126C22×C7311yescharacteristic, complemented
783C2×#125C22×C7311yescharacteristic, complemented
784C2×#123C22×C7311yescharacteristic
785C2×#123C22×C7311yescharacteristic
786C2×C22⋊Q8C22×C7311yescharacteristic
787C2×C22⋊Q8C22×C7311yescharacteristic
788C2×#120C22×C7311yescharacteristic
789C2×C4×D4C22×C7311yescharacteristic
790C2×C4×D4C22×C7311yescharacteristic
791C2×C4×D4C22×C7311yescharacteristic
792C22×C4⋊C4C22×C7311yescharacteristic
793C22×C4⋊C4C22×C7311yescharacteristic
794C22×C22⋊C4C22×C7311yescharacteristic
795C22×C22⋊C4C22×C7311yescharacteristic
796C22×C22⋊C4C22×C7311yescharacteristic
797C22×C22⋊C4C22×C7311yescharacteristic
798C22×C42C22×C7311yescharacteristic
799C22×C42C22×C7311yescharacteristic
800#401C22×C7311yescharacteristic, complemented
801#400C22×C7311yescharacteristic, complemented
802#400C22×C7311yescharacteristic, complemented
803#400C22×C7311yescharacteristic, complemented
804#400C22×C7311yescharacteristic, complemented
805#400C22×C7311yescharacteristic, complemented
806#400C22×C7311yescharacteristic, complemented
807#400C22×C7311yescharacteristic, complemented
808#400C22×C7311yescharacteristic, complemented
809#399C22×C7311yescharacteristic
810#398C22×C7311yescharacteristic, complemented
811#398C22×C7311yescharacteristic, complemented
812#398C22×C7311yescharacteristic, complemented
813#397C22×C7311yescharacteristic
814#397C22×C7311yescharacteristic
815#397C22×C7311yescharacteristic
816#397C22×C7311yescharacteristic
817#397C22×C7311yescharacteristic
818#397C22×C7311yescharacteristic
819#397C22×C7311yescharacteristic
820#397C22×C7311yescharacteristic
821#397C22×C7311yescharacteristic, complemented
822#397C22×C7311yescharacteristic, complemented
823#396C22×C7311yescharacteristic
824#396C22×C7311yescharacteristic
825#396C22×C7311yescharacteristic, complemented
826#394C22×C7311yescharacteristic
827#394C22×C7311yescharacteristic
828#394C22×C7311yescharacteristic
829#394C22×C7311yescharacteristic
830#393C22×C7311yescharacteristic
831#393C22×C7311yescharacteristic, complemented
832#391C22×C7311yescharacteristic, complemented
833#391C22×C7311yescharacteristic, complemented
834#391C22×C7311yescharacteristic, complemented
835#389C22×C7311yescharacteristic, complemented
836#389C22×C7311yescharacteristic, complemented
837#389C22×C7311yescharacteristic, complemented
838#389C22×C7311yescharacteristic, complemented
839#389C22×C7311yescharacteristic, complemented
840#388C22×C7311yescharacteristic, complemented
841#388C22×C7311yescharacteristic, complemented
842#388C22×C7311yescharacteristic, complemented
843#388C22×C7311yescharacteristic, complemented
844#388C22×C7311yescharacteristic, complemented
845#388C22×C7311yescharacteristic, complemented
846#388C22×C7311yescharacteristic, complemented
847#387C22×C7311yescharacteristic, complemented
848#387C22×C7311yescharacteristic, complemented
849#387C22×C7311yescharacteristic, complemented
850#387C22×C7311yescharacteristic, complemented
851#387C22×C7311yescharacteristic, complemented
852#387C22×C7311yescharacteristic, complemented
853#387C22×C7311yescharacteristic, complemented
854#387C22×C7311yescharacteristic, complemented
855#387C22×C7311yescharacteristic, complemented
856#387C22×C7311yescharacteristic, complemented
857#387C22×C7311yescharacteristic, complemented
858#387C22×C7311yescharacteristic, complemented
859#387C22×C7311yescharacteristic, complemented
860#387C22×C7311yescharacteristic, complemented
861#387C22×C7311yescharacteristic, complemented
862#387C22×C7311yescharacteristic, complemented
863#387C22×C7311yescharacteristic, complemented
864#387C22×C7311yescharacteristic, complemented
865#387C22×C7311yescharacteristic, complemented
866#387C22×C7311yescharacteristic, complemented
867#387C22×C7311yescharacteristic, complemented
868#387C22×C7311yescharacteristic, complemented
869#387C22×C7311yescharacteristic, complemented
870#386C22×C7311yescharacteristic
871#386C22×C7311yescharacteristic
872#386C22×C7311yescharacteristic
873#386C22×C7311yescharacteristic
874#386C22×C7311yescharacteristic
875#386C22×C7311yescharacteristic
876#386C22×C7311yescharacteristic
877#386C22×C7311yescharacteristic
878#386C22×C7311yescharacteristic
879#385C22×C7311yescharacteristic
880#385C22×C7311yescharacteristic
881#385C22×C7311yescharacteristic
882#385C22×C7311yescharacteristic
883#385C22×C7311yescharacteristic
884#385C22×C7311yescharacteristic
885#385C22×C7311yescharacteristic
886#385C22×C7311yescharacteristic
887#385C22×C7311yescharacteristic
888#385C22×C7311yescharacteristic
889#385C22×C7311yescharacteristic
890#385C22×C7311yescharacteristic
891#385C22×C7311yescharacteristic
892#385C22×C7311yescharacteristic
893#385C22×C7311yescharacteristic
894#385C22×C7311yescharacteristic
895#385C22×C7311yescharacteristic
896#385C22×C7311yescharacteristic
897#385C22×C7311yescharacteristic
898#385C22×C7311yescharacteristic
899#385C22×C7311yescharacteristic
900#385C22×C7311yescharacteristic, complemented
901#385C22×C7311yescharacteristic, complemented
902#383C22×C7311yescharacteristic, complemented
903#383C22×C7311yescharacteristic, complemented
904#382C22×C7311yescharacteristic, complemented
905#382C22×C7311yescharacteristic, complemented
906#381C22×C7311yescharacteristic
907#381C22×C7311yescharacteristic
908#381C22×C7311yescharacteristic
909#381C22×C7311yescharacteristic
910#381C22×C7311yescharacteristic
911#381C22×C7311yescharacteristic
912#381C22×C7311yescharacteristic, complemented
913#380C22×C7311yescharacteristic
914#380C22×C7311yescharacteristic
915#380C22×C7311yescharacteristic
916#380C22×C7311yescharacteristic
917#380C22×C7311yescharacteristic
918#380C22×C7311yescharacteristic
919#380C22×C7311yescharacteristic, complemented
920#379C22×C7311yescharacteristic
921C4×C22⋊C4C22×C7311yescharacteristic
922C4×C22⋊C4C22×C7311yescharacteristic
923C4×C22⋊C4C22×C7311yescharacteristic
924C4×C22⋊C4C22×C7311yescharacteristic
925C4×C22⋊C4C22×C7311yescharacteristic
926C4×C22⋊C4C22×C7311yescharacteristic
927C4×C22⋊C4C22×C7311yescharacteristic
928C4×C22⋊C4C22×C7311yescharacteristic
929C4×C22⋊C4C22×C7311yescharacteristic
930C4×C22⋊C4C22×C7311yescharacteristic
931C4×C22⋊C4C22×C7311yescharacteristic
932C2×#95C22×C7311yescharacteristic
933C2×#95C22×C7311yescharacteristic
934C2×#95C22×C7311yescharacteristic
935C2×#95C22×C7311yescharacteristic
936C25C23×C7311yescharacteristic
937C22×Q8C23×C7311yescharacteristic
938C22×D4C23×C7311yescharacteristic
939C22×D4C23×C7311yescharacteristic
940C22×D4C23×C7311yescharacteristic
941C23×C4—24no—
942C23×C4—42no—
943C23×C4—42no—
944C23×C4C23×C7311yescharacteristic
945C23×C4C23×C7311yescharacteristic
946C23×C4C23×C7311yescharacteristic
947C23×C4C23×C7311yescharacteristic
948C23×C4C23×C7311yescharacteristic
949C23×C4C23×C7311yescharacteristic
950C23×C4C23×C7311yescharacteristic
951C23×C4C23×C7311yescharacteristic
952C23×C4C23×C7311yescharacteristic
953C23×C4C23×C7311yescharacteristic
954C23×C4C23×C7311yescharacteristic
955C23×C4C23×C7311yescharacteristic
956C23×C4C23×C7311yescharacteristic
957C23×C4C23×C7311yescharacteristic
958C23×C4C23×C7311yescharacteristic
959#126—42no—
960#125—42no—
961#123—24no—
962#123—42no—
963C22⋊Q8—24no—
964C22⋊Q8—42no—
965#120—24no—
966C4×D4—24no—
967C4×D4—42no—
968C4×D4—42no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4C23×C7311yescharacteristic
972C2×C4⋊C4C23×C7311yescharacteristic
973C2×C4⋊C4C23×C7311yescharacteristic
974C2×C4⋊C4C23×C7311yescharacteristic
975C2×C4⋊C4C23×C7311yescharacteristic
976C2×C4⋊C4C23×C7311yescharacteristic
977C2×C4⋊C4C23×C7311yescharacteristic
978C2×C4⋊C4C23×C7311yescharacteristic
979C2×C4⋊C4C23×C7311yescharacteristic
980C2×C4⋊C4C23×C7311yescharacteristic
981C2×C4⋊C4C23×C7311yescharacteristic
982C2×C4⋊C4C23×C7311yescharacteristic
983C2×C4⋊C4C23×C7311yescharacteristic
984C2×C4⋊C4C23×C7311yescharacteristic
985C2×C4⋊C4C23×C7311yescharacteristic
986C2×C4⋊C4C23×C7311yescharacteristic
987C2×C4⋊C4C23×C7311yescharacteristic
988C2×C4⋊C4C23×C7311yescharacteristic
989C2×C4⋊C4C23×C7311yescharacteristic
990C2×C4⋊C4C23×C7311yescharacteristic
991C2×C4⋊C4C23×C7311yescharacteristic
992C2×C4⋊C4C23×C7311yescharacteristic
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×C22⋊C4—24no—
1004C2×C22⋊C4—24no—
1005C2×C22⋊C4—24no—
1006C2×C22⋊C4—42no—
1007C2×C22⋊C4C23×C7311yescharacteristic
1008C2×C22⋊C4C23×C7311yescharacteristic
1009C2×C22⋊C4C23×C7311yescharacteristic
1010C2×C22⋊C4C23×C7311yescharacteristic
1011C2×C22⋊C4C23×C7311yescharacteristic
1012C2×C22⋊C4C23×C7311yescharacteristic
1013C2×C22⋊C4C23×C7311yescharacteristic
1014C2×C22⋊C4C23×C7311yescharacteristic
1015C2×C22⋊C4C23×C7311yescharacteristic
1016C2×C22⋊C4C23×C7311yescharacteristic
1017C2×C22⋊C4C23×C7311yescharacteristic
1018C2×C22⋊C4C23×C7311yescharacteristic
1019C2×C22⋊C4C23×C7311yescharacteristic
1020C2×C22⋊C4C23×C7311yescharacteristic
1021C2×C22⋊C4C23×C7311yescharacteristic
1022C2×C22⋊C4C23×C7311yescharacteristic
1023C2×C22⋊C4C23×C7311yescharacteristic
1024C2×C22⋊C4C23×C7311yescharacteristic
1025C2×C22⋊C4C23×C7311yescharacteristic
1026C2×C22⋊C4C23×C7311yescharacteristic
1027C2×C22⋊C4C23×C7311yescharacteristic
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×C42—42no—
1044C2×C42—42no—
1045C2×C42C23×C7311yescharacteristic
1046C2×C42C23×C7311yescharacteristic
1047C2×C42C23×C7311yescharacteristic
1048C2×C42C23×C7311yescharacteristic
1049C2×C42C23×C7311yescharacteristic
1050C2×C42C23×C7311yescharacteristic
1051C2×C42C23×C7311yescharacteristic
1052C2×C42C23×C7311yescharacteristic
1053C2×C42C23×C7311yescharacteristic
1054C2×C42C23×C7311yescharacteristic
1055C2×C42C23×C7311yescharacteristic
1056#95C23×C7311yescharacteristic
1057#95C23×C7311yescharacteristic
1058#95C23×C7311yescharacteristic
1059#95C23×C7311yescharacteristic
1060#95C23×C7311yescharacteristic
1061#95C23×C7311yescharacteristic
1062#95C23×C7311yescharacteristic
1063#95C23×C7311yescharacteristic
1064#95C23×C7311yescharacteristic
1065#95C23×C7311yescharacteristic
1066#95C23×C7311yescharacteristic
1067#95C23×C7311yescharacteristic
1068#95C23×C7311yescharacteristic
1069#95C23×C7311yescharacteristic
1070#95C23×C7311yescharacteristic
1071#95C23×C7311yescharacteristic
1072#95C23×C7311yescharacteristic
1073#95C23×C7311yescharacteristic
1074#95C23×C7311yescharacteristic
1075#95C23×C7311yescharacteristic
1076#95C23×C7311yescharacteristic
1077#95C23×C7311yescharacteristic
1078#95C23×C7311yescharacteristic
1079#95C23×C7311yescharacteristic
1080#95C23×C7311yescharacteristic
1081#95C23×C7311yescharacteristic
1082#95C23×C7311yescharacteristic
1083#95C23×C7311yescharacteristic
1084#95C23×C7311yescharacteristic
1085#95C23×C7311yescharacteristic
1086#95C23×C7311yescharacteristic
1087#95C23×C7311yescharacteristic
1088#95C23×C7311yescharacteristic
1089#95C23×C7311yescharacteristic
1090#95C23×C7311yescharacteristic
1091#95C23×C7311yescharacteristic
1092#95C23×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
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—22no—
1116C24—41no—
1117C24—41no—
1118C24#41×C7314yes—
1119C24C24×C7311yescharacteristic
1120C24C24×C7311yescharacteristic
1121C24C24×C7311yescharacteristic
1122C24C24×C7311yescharacteristic
1123C2×Q8—22no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—41no—
1134C2×D4—41no—
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—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—416no—
1180C22×C4#41×C7314yes—
1181C22×C4C24×C7311yescharacteristic
1182C22×C4C24×C7311yescharacteristic
1183C22×C4C24×C7311yescharacteristic
1184C22×C4C24×C7311yescharacteristic
1185C22×C4C24×C7311yescharacteristic
1186C22×C4C24×C7311yescharacteristic
1187C22×C4C24×C7311yescharacteristic
1188C22×C4C24×C7311yescharacteristic
1189C22×C4C24×C7311yescharacteristic
1190C22×C4C24×C7311yescharacteristic
1191C22×C4C24×C7311yescharacteristic
1192C22×C4C24×C7311yescharacteristic
1193C22×C4C24×C7311yescharacteristic
1194C22×C4C24×C7311yescharacteristic
1195C22×C4C24×C7311yescharacteristic
1196C22×C4C24×C7311yescharacteristic
1197C22×C4C24×C7311yescharacteristic
1198C22×C4C24×C7311yescharacteristic
1199C22×C4C24×C7311yescharacteristic
1200C22×C4C24×C7311yescharacteristic
1201C22×C4C24×C7311yescharacteristic
1202C22×C4C24×C7311yescharacteristic
1203C22×C4C24×C7311yescharacteristic
1204C22×C4C24×C7311yescharacteristic
1205C22×C4C24×C7311yescharacteristic
1206C22×C4C24×C7311yescharacteristic
1207C22×C4C24×C7311yescharacteristic
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4#41×C7314yes—
1276C42—22no—
1277C42—22no—
1278C42—22no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C42—41no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—28no—
1296C23—28no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×#41×C7312yes—
1316C23C2×#41×C7312yes—
1317C23C2×#41×C7312yes—
1318C23C2×#41×C7312yes—
1319C23C2×#41×C7312yes—
1320C23H(5,𝔽2)×C7312yes—
1321C232−1+4×C7312yes—
1322C23C25×C7311yescharacteristic
1323Q8—82no—
1324D4—44no—
1325D4—44no—
1326D4—44no—
1327C2×C4—28no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
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—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—82no—
1416C2×C4—82no—
1417C2×C4—82no—
1418C2×C4C2×#41×C7312yes—
1419C2×C4C2×#41×C7312yes—
1420C2×C4C2×#41×C7312yes—
1421C2×C4C2×#41×C7312yes—
1422C2×C4H(5,𝔽2)×C7312yes—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—416no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22#529×C7314yes—
1451C22#539×C7314yes—
1452C22C22×#41×C7311yescharacteristic
1453C22C22×#41×C7311yescharacteristic
1454C22C22×#41×C7311yescharacteristic
1455C22C2×H(5,𝔽2)×C7311yescharacteristic
1456C22C2×H(5,𝔽2)×C7311yescharacteristic
1457C22C2×2−1+4×C7311yescharacteristic
1458C22#585×C7311yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—22no—
1463C4—22no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C2—24no—
1487C2—24no—
1488C2—42no—
1489C2—81no—
1490C2C2×#529×C7311yescharacteristic
1491C2C2×#539×C7311yescharacteristic
1492C2C73×#345911yescharacteristic
1493C2C73×#349011yescharacteristic
1494C2C73×#349511yescharacteristic
1495C2C73×#351311yescharacteristic
1496C2C73×#352011yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC2×#120×C73C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2855C2semidirect
2. C73×#2853C2semidirect
3. C73×#2852C2semidirect
4. C73×#2851C2semidirect
5. C73×#2653C2semidirect
6. C73×#2652C2semidirect
7. C73×#2652C2semidirect
8. C73×#2649C2semidirect
9. C73×#2523C2semidirect
10. C73×#2517C2semidirect
11. C73×#2505C2semidirect
12. C73×#2493C2semidirect
13. C73×#2493C2semidirect
14. C73×#2488C2semidirect
15. C73×#2483C2semidirect
16. C73×#2481C2semidirect
17. C73×#2473C2semidirect
18. C73×#2466C2semidirect
19. C73×#2460C2semidirect
20. C73×#2450C2semidirect
21. C73×#2437C2semidirect
22. C73×#2419C2semidirect
25. C73×#2329C2semidirect
26. C73×#2322C2semidirect
27. C73×#2318C2semidirect
28. C73×#2313C2semidirect
30. C2×#385×C73C2semidirect
31. C2×C4×C22⋊C4×C73C2semidirect
33. C2×#126×C73C22semidirect
34. C2×#125×C73C22semidirect
51. #401×C73C22semidirect
52. #400×C73C22semidirect
53. #400×C73C22semidirect
54. #400×C73C22semidirect
55. #400×C73C22semidirect
56. #400×C73C22semidirect
57. #400×C73C22semidirect
58. #400×C73C22semidirect
59. #400×C73C22semidirect
61. #398×C73C22semidirect
62. #398×C73C22semidirect
63. #398×C73C22semidirect
72. #397×C73C22semidirect
73. #397×C73C22semidirect
76. #396×C73C22semidirect
82. #393×C73C22semidirect
83. #391×C73C22semidirect
84. #391×C73C22semidirect
85. #391×C73C22semidirect
86. #389×C73C22semidirect
87. #389×C73C22semidirect
88. #389×C73C22semidirect
89. #389×C73C22semidirect
90. #389×C73C22semidirect
91. #388×C73C22semidirect
92. #388×C73C22semidirect
93. #388×C73C22semidirect
94. #388×C73C22semidirect
95. #388×C73C22semidirect
96. #388×C73C22semidirect
97. #388×C73C22semidirect
98. #387×C73C22semidirect
99. #387×C73C22semidirect
100. #387×C73C22semidirect
101. #387×C73C22semidirect
102. #387×C73C22semidirect
103. #387×C73C22semidirect
104. #387×C73C22semidirect
105. #387×C73C22semidirect
106. #387×C73C22semidirect
107. #387×C73C22semidirect
108. #387×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
151. #385×C73C22semidirect
152. #385×C73C22semidirect
153. #383×C73C22semidirect
154. #383×C73C22semidirect
155. #382×C73C22semidirect
156. #382×C73C22semidirect
163. #381×C73C22semidirect
170. #380×C73C22semidirect
737. #34999C73direct (N × H)
749. #2855C2×C73semidirect
750. #2853C2×C73semidirect
751. #2852C2×C73semidirect
752. #2851C2×C73semidirect
753. #2653C2×C73semidirect
754. #2652C2×C73semidirect
755. #2652C2×C73semidirect
756. #2649C2×C73semidirect
757. #2523C2×C73semidirect
758. #2517C2×C73semidirect
759. #2505C2×C73semidirect
760. #2493C2×C73semidirect
761. #2493C2×C73semidirect
762. #2488C2×C73semidirect
763. #2483C2×C73semidirect
764. #2481C2×C73semidirect
765. #2473C2×C73semidirect
766. #2466C2×C73semidirect
767. #2460C2×C73semidirect
768. #2450C2×C73semidirect
769. #2437C2×C73semidirect
770. #2419C2×C73semidirect
773. #2329C2×C73semidirect
774. #2322C2×C73semidirect
775. #2318C2×C73semidirect
776. #2313C2×C73semidirect
778. C2×#385C2×C73semidirect
779. C2×C4×C22⋊C4C2×C73semidirect
780. C73#34999direct (N × H)
782. C2×#126C22×C73semidirect
783. C2×#125C22×C73semidirect
800. #401C22×C73semidirect
801. #400C22×C73semidirect
802. #400C22×C73semidirect
803. #400C22×C73semidirect
804. #400C22×C73semidirect
805. #400C22×C73semidirect
806. #400C22×C73semidirect
807. #400C22×C73semidirect
808. #400C22×C73semidirect
810. #398C22×C73semidirect
811. #398C22×C73semidirect
812. #398C22×C73semidirect
821. #397C22×C73semidirect
822. #397C22×C73semidirect
825. #396C22×C73semidirect
831. #393C22×C73semidirect
832. #391C22×C73semidirect
833. #391C22×C73semidirect
834. #391C22×C73semidirect
835. #389C22×C73semidirect
836. #389C22×C73semidirect
837. #389C22×C73semidirect
838. #389C22×C73semidirect
839. #389C22×C73semidirect
840. #388C22×C73semidirect
841. #388C22×C73semidirect
842. #388C22×C73semidirect
843. #388C22×C73semidirect
844. #388C22×C73semidirect
845. #388C22×C73semidirect
846. #388C22×C73semidirect
847. #387C22×C73semidirect
848. #387C22×C73semidirect
849. #387C22×C73semidirect
850. #387C22×C73semidirect
851. #387C22×C73semidirect
852. #387C22×C73semidirect
853. #387C22×C73semidirect
854. #387C22×C73semidirect
855. #387C22×C73semidirect
856. #387C22×C73semidirect
857. #387C22×C73semidirect
858. #387C22×C73semidirect
859. #387C22×C73semidirect
860. #387C22×C73semidirect
861. #387C22×C73semidirect
862. #387C22×C73semidirect
863. #387C22×C73semidirect
864. #387C22×C73semidirect
865. #387C22×C73semidirect
866. #387C22×C73semidirect
867. #387C22×C73semidirect
868. #387C22×C73semidirect
869. #387C22×C73semidirect
900. #385C22×C73semidirect
901. #385C22×C73semidirect
902. #383C22×C73semidirect
903. #383C22×C73semidirect
904. #382C22×C73semidirect
905. #382C22×C73semidirect
912. #381C22×C73semidirect
919. #380C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28552
C73×#28532
C73×#28522
C73×#28512
C73×#26532
C73×#26522
C73×#26492
C73×#25232
C73×#25172
C73×#25052
C73×#24932
C73×#24882
C73×#24832
C73×#24812
C73×#24732
C73×#24662
C73×#24602
C73×#24502
C73×#24372
C73×#24192
C73×#24122
C73×#23292
C73×#23222
C73×#23182
C73×#23132
C4×#120×C732
C2×#385×C732
C2×C4×C22⋊C4×C732
#3499973