Finite Group Databasebeta

← C73×#35074 #32944478

Subgroups — C73×#35074 #32944478

Order 18688.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2855C211yesmaximal, characteristic, complemented
2C73×#2854C211yesmaximal, characteristic, complemented
3C73×#2849C211yesmaximal, characteristic, complemented
4C73×#2849C211yesmaximal, characteristic, complemented
5C73×#2653C211yesmaximal, characteristic, complemented
6C73×#2652C211yesmaximal, characteristic, complemented
7C73×#2649C211yesmaximal, characteristic, complemented
8C73×#2648C211yesmaximal, characteristic, complemented
9C73×#2597C211yesmaximal, characteristic, complemented
10C73×#2595C211yesmaximal, characteristic, complemented
11C73×#2589C211yesmaximal, characteristic, complemented
12C73×#2587C211yesmaximal, characteristic, complemented
13C73×#2578C211yesmaximal, characteristic, complemented
14C73×#2576C211yesmaximal, characteristic, complemented
15C73×#2559C211yesmaximal, characteristic, complemented
16C73×#2557C211yesmaximal, characteristic, complemented
17C73×#2493C211yesmaximal, characteristic, complemented
18C73×#2488C211yesmaximal, characteristic, complemented
19C73×#2480C211yesmaximal, characteristic, complemented
20C73×#2472C211yesmaximal, characteristic, complemented
21C73×#2425C211yesmaximal, characteristic, complemented
22C73×#2424C211yesmaximal, characteristic
23C73×#2419C211yesmaximal, characteristic, complemented
24C73×#2418C211yesmaximal, characteristic, complemented
25C73×#2337C211yesmaximal, characteristic, complemented
26C73×#2335C211yesmaximal, characteristic, complemented
27C73×#2334C211yesmaximal, characteristic, complemented
28C73×#2333C211yesmaximal, characteristic, complemented
29C4×#123×C73C211yesmaximal, characteristic, complemented
30C4×#123×C73C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C73C211yesmaximal, characteristic, complemented
32C24×C4×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic
34C2×#124×C73C2211yescharacteristic
35C2×#123×C73C2211yescharacteristic
36C2×#123×C73C2211yescharacteristic
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic
40C2×C22⋊Q8×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×#120×C73C2211yescharacteristic
44C2×#120×C73C2211yescharacteristic
45C2×C4×D4×C73C2211yescharacteristic
46C2×C4×D4×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#399×C73C2211yescharacteristic
59#398×C73C2211yescharacteristic, complemented
60#398×C73C2211yescharacteristic, complemented
61#397×C73C2211yescharacteristic
62#397×C73C2211yescharacteristic
63#397×C73C2211yescharacteristic
64#397×C73C2211yescharacteristic
65#397×C73C2211yescharacteristic
66#397×C73C2211yescharacteristic, complemented
67#397×C73C2211yescharacteristic, complemented
68#397×C73C2211yescharacteristic, complemented
69#397×C73C2211yescharacteristic, complemented
70#396×C73C2211yescharacteristic
71#396×C73C2211yescharacteristic
72#396×C73C2211yescharacteristic, complemented
73#394×C73C2211yescharacteristic
74#394×C73C2211yescharacteristic
75#394×C73C2211yescharacteristic
76#394×C73C2211yescharacteristic
77#394×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
79#394×C73C2211yescharacteristic, complemented
80#393×C73C2211yescharacteristic
81#393×C73C2211yescharacteristic, complemented
82#392×C73C2211yescharacteristic
83#391×C73C2211yescharacteristic, complemented
84#391×C73C2211yescharacteristic, complemented
85#391×C73C2211yescharacteristic, complemented
86#390×C73C2211yescharacteristic
87#390×C73C2211yescharacteristic
88#390×C73C2211yescharacteristic, complemented
89#390×C73C2211yescharacteristic, complemented
90#389×C73C2211yescharacteristic, complemented
91#389×C73C2211yescharacteristic, complemented
92#389×C73C2211yescharacteristic, complemented
93#389×C73C2211yescharacteristic, complemented
94#389×C73C2211yescharacteristic, complemented
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, complemented
104#388×C73C2211yescharacteristic, complemented
105#388×C73C2211yescharacteristic, complemented
106#388×C73C2211yescharacteristic, complemented
107#388×C73C2211yescharacteristic, complemented
108#388×C73C2211yescharacteristic, complemented
109#388×C73C2211yescharacteristic, complemented
110#388×C73C2211yescharacteristic, complemented
111#388×C73C2211yescharacteristic, complemented
112#388×C73C2211yescharacteristic, complemented
113#388×C73C2211yescharacteristic, complemented
114#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#386×C73C2211yescharacteristic
128#386×C73C2211yescharacteristic
129#386×C73C2211yescharacteristic
130#386×C73C2211yescharacteristic
131#386×C73C2211yescharacteristic
132#386×C73C2211yescharacteristic
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#386×C73C2211yescharacteristic, complemented
142#385×C73C2211yescharacteristic
143#385×C73C2211yescharacteristic
144#385×C73C2211yescharacteristic
145#385×C73C2211yescharacteristic
146#385×C73C2211yescharacteristic
147#385×C73C2211yescharacteristic
148#385×C73C2211yescharacteristic
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic
152#385×C73C2211yescharacteristic
153#385×C73C2211yescharacteristic
154#385×C73C2211yescharacteristic, complemented
155#383×C73C2211yescharacteristic, complemented
156#382×C73C2211yescharacteristic, complemented
157#381×C73C2211yescharacteristic
158#381×C73C2211yescharacteristic
159#381×C73C2211yescharacteristic
160#381×C73C2211yescharacteristic
161#381×C73C2211yescharacteristic, complemented
162#380×C73C2211yescharacteristic
163#380×C73C2211yescharacteristic
164#380×C73C2211yescharacteristic, complemented
165#379×C73C2211yescharacteristic
166#379×C73C2211yescharacteristic
167C4×C4⋊C4×C73C2211yescharacteristic, complemented
168C4×C4⋊C4×C73C2211yescharacteristic, complemented
169C4×C4⋊C4×C73C2211yescharacteristic, complemented
170C4×C4⋊C4×C73C2211yescharacteristic, complemented
171C4×C22⋊C4×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, complemented
182C4×C22⋊C4×C73C2211yescharacteristic, complemented
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C2×#95×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C25×C73C2311yescharacteristic
188C22×Q8×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C23×C4×C73—24no—
197C23×C4×C73—42no—
198C23×C4×C73—42no—
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
210C23×C4×C73C2311yescharacteristic
211#126×C73—24no—
212#124×C73—24no—
213#123×C73—24no—
214#123×C73—24no—
215#123×C73—24no—
216#123×C73—42no—
217#123×C73—42no—
218C22⋊Q8×C73—42no—
219#121×C73—24no—
220#121×C73—42no—
221#120×C73—42no—
222#120×C73—42no—
223C4×D4×C73—42no—
224C4×D4×C73—42no—
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×C22⋊C4×C73—24no—
252C2×C22⋊C4×C73—24no—
253C2×C22⋊C4×C73C2311yescharacteristic
254C2×C22⋊C4×C73C2311yescharacteristic
255C2×C22⋊C4×C73C2311yescharacteristic
256C2×C22⋊C4×C73C2311yescharacteristic
257C2×C22⋊C4×C73C2311yescharacteristic
258C2×C22⋊C4×C73C2311yescharacteristic
259C2×C22⋊C4×C73C2311yescharacteristic
260C2×C22⋊C4×C73C2311yescharacteristic
261C2×C22⋊C4×C73C2311yescharacteristic
262C2×C22⋊C4×C73C2311yescharacteristic
263C2×C22⋊C4×C73C2311yescharacteristic
264C2×C22⋊C4×C73C2311yescharacteristic
265C2×C22⋊C4×C73C2311yescharacteristic
266C2×C22⋊C4×C73C2311yescharacteristic
267C2×C22⋊C4×C73C2311yescharacteristic
268C2×C22⋊C4×C73C2311yescharacteristic
269C2×C22⋊C4×C73C2311yescharacteristic
270C2×C22⋊C4×C73C2311yescharacteristic
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C42×C73—42no—
300C2×C42×C73—42no—
301C2×C42×C73C2311yescharacteristic
302C2×C42×C73C2311yescharacteristic
303C2×C42×C73C2311yescharacteristic
304C2×C42×C73C2311yescharacteristic
305C2×C42×C73C2311yescharacteristic
306C2×C42×C73C2311yescharacteristic
307C2×C42×C73C2311yescharacteristic
308C2×C42×C73C2311yescharacteristic
309C2×C42×C73C2311yescharacteristic
310C2×C42×C73C2311yescharacteristic
311C2×C42×C73C2311yescharacteristic
312C2×C42×C73C2311yescharacteristic
313C2×C42×C73C2311yescharacteristic
314C2×C42×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—22no—
368C24×C73—41no—
369C24×C73—41no—
370C24×C73C2411yescharacteristic
371C24×C73C2411yescharacteristic
372C24×C73C2411yescharacteristic
373C24×C73C2411yescharacteristic
374C24×C73C2411yescharacteristic
375C2×Q8×C73—22no—
376C2×Q8×C73—41no—
377C2×Q8×C73—41no—
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—22no—
385C2×D4×C73—22no—
386C2×D4×C73—22no—
387C2×D4×C73—22no—
388C2×D4×C73—22no—
389C2×D4×C73—41no—
390C2×D4×C73—41no—
391C2×D4×C73—41no—
392C2×D4×C73—41no—
393C2×D4×C73—41no—
394C2×D4×C73—41no—
395C2×D4×C73—41no—
396C2×D4×C73—41no—
397C2×D4×C73—41no—
398C2×D4×C73—41no—
399C22×C4×C73—22no—
400C22×C4×C73—22no—
401C22×C4×C73—22no—
402C22×C4×C73—22no—
403C22×C4×C73—22no—
404C22×C4×C73—22no—
405C22×C4×C73—22no—
406C22×C4×C73—22no—
407C22×C4×C73—22no—
408C22×C4×C73—22no—
409C22×C4×C73—22no—
410C22×C4×C73—22no—
411C22×C4×C73—22no—
412C22×C4×C73—22no—
413C22×C4×C73—22no—
414C22×C4×C73—22no—
415C22×C4×C73—22no—
416C22×C4×C73—22no—
417C22×C4×C73—22no—
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—41no—
431C22×C4×C73—41no—
432C22×C4×C73—41no—
433C22×C4×C73—41no—
434C22×C4×C73—416no—
435C22×C4×C73#4114yes—
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
459C22×C4×C73C2411yescharacteristic
460C22×C4×C73C2411yescharacteristic
461C22×C4×C73C2411yescharacteristic
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—
488C22⋊C4×C73—22no—
489C22⋊C4×C73—22no—
490C22⋊C4×C73—22no—
491C22⋊C4×C73—22no—
492C22⋊C4×C73—22no—
493C22⋊C4×C73—22no—
494C22⋊C4×C73—22no—
495C22⋊C4×C73—22no—
496C22⋊C4×C73—22no—
497C22⋊C4×C73—22no—
498C22⋊C4×C73—22no—
499C22⋊C4×C73—22no—
500C22⋊C4×C73—22no—
501C22⋊C4×C73—22no—
502C22⋊C4×C73—22no—
503C22⋊C4×C73—22no—
504C22⋊C4×C73—22no—
505C22⋊C4×C73—22no—
506C22⋊C4×C73—22no—
507C22⋊C4×C73—22no—
508C22⋊C4×C73—22no—
509C22⋊C4×C73—22no—
510C22⋊C4×C73—22no—
511C22⋊C4×C73—22no—
512C22⋊C4×C73—41no—
513C22⋊C4×C73—41no—
514C22⋊C4×C73—41no—
515C22⋊C4×C73—41no—
516C22⋊C4×C73—41no—
517C22⋊C4×C73—41no—
518C22⋊C4×C73—41no—
519C22⋊C4×C73—41no—
520C22⋊C4×C73—41no—
521C22⋊C4×C73—41no—
522C22⋊C4×C73—41no—
523C22⋊C4×C73—41no—
524C22⋊C4×C73—41no—
525C22⋊C4×C73—41no—
526C22⋊C4×C73—41no—
527C22⋊C4×C73—41no—
528C22⋊C4×C73—41no—
529C22⋊C4×C73—41no—
530C22⋊C4×C73—41no—
531C22⋊C4×C73—41no—
532C22⋊C4×C73#4114yes—
533C22⋊C4×C73#4114yes—
534C42×C73—22no—
535C42×C73—22no—
536C42×C73—41no—
537C42×C73—41no—
538C42×C73—41no—
539C42×C73—41no—
540C42×C73—41no—
541C42×C73—41no—
542C42×C73—41no—
543C42×C73—41no—
544C42×C73—41no—
545C42×C73—41no—
546C42×C73—41no—
547C42×C73—41no—
548C23×C73—21no—
549C23×C73—21no—
550C23×C73—21no—
551C23×C73—21no—
552C23×C73—28no—
553C23×C73—21no—
554C23×C73—21no—
555C23×C73—21no—
556C23×C73—21no—
557C23×C73—21no—
558C23×C73—21no—
559C23×C73—21no—
560C23×C73—21no—
561C23×C73—21no—
562C23×C73—21no—
563C23×C73—21no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73—21no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—44no—
580C23×C73—44no—
581C23×C73—44no—
582C23×C73—44no—
583C23×C73—44no—
584C23×C73—44no—
585C23×C73C2×#4112yes—
586C23×C73C2×#4112yes—
587C23×C73C2×#4112yes—
588C23×C73H(5,𝔽2)12yes—
589C23×C73H(5,𝔽2)12yes—
590C23×C73C2511yescharacteristic
591Q8×C73—82no—
592D4×C73—44no—
593D4×C73—44no—
594D4×C73—82no—
595D4×C73—82no—
596D4×C73—82no—
597D4×C73—82no—
598D4×C73—82no—
599C2×C4×C73—28no—
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—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—44no—
673C2×C4×C73—44no—
674C2×C4×C73—44no—
675C2×C4×C73—44no—
676C2×C4×C73—44no—
677C2×C4×C73—44no—
678C2×C4×C73—44no—
679C2×C4×C73—44no—
680C2×C4×C73—44no—
681C2×C4×C73—82no—
682C2×C4×C73—82no—
683C2×C4×C73C2×#4112yes—
684C2×C4×C73C2×#4112yes—
685C2×C4×C73C2×#4112yes—
686C2×C4×C73C2×#4112yes—
687C2×C4×C73C2×#4112yes—
688C2×C4×C73C2×#4112yes—
689C22×C73—22no—
690C22×C73—22no—
691C22×C73—22no—
692C22×C73—22no—
693C22×C73—22no—
694C22×C73—22no—
695C22×C73—22no—
696C22×C73—22no—
697C22×C73—22no—
698C22×C73—22no—
699C22×C73—22no—
700C22×C73—22no—
701C22×C73—416no—
702C22×C73—41no—
703C22×C73—41no—
704C22×C73—41no—
705C22×C73—41no—
706C22×C73—41no—
707C22×C73—41no—
708C22×C73—41no—
709C22×C73—41no—
710C22×C73—41no—
711C22×C73—41no—
712C22×C73—41no—
713C22×C73—41no—
714C22×C73—41no—
715C22×C73—41no—
716C22×C73—41no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
723C22×C73—41no—
724C22×C73#53814yes—
725C22×C73C22×#4111yescharacteristic
726C22×C73C22×#4111yescharacteristic
727C22×C73C22×#4111yescharacteristic
728C22×C73C2×H(5,𝔽2)11yescharacteristic
729C22×C73C2×H(5,𝔽2)11yescharacteristic
730C22×C73#58511yescharacteristic
731C22×C73#58511yescharacteristic
732C4×C73—22no—
733C4×C73—22no—
734C4×C73—22no—
735C4×C73—22no—
736C4×C73—22no—
737C4×C73—22no—
738C4×C73—41no—
739C4×C73—41no—
740C4×C73—41no—
741C4×C73—41no—
742C4×C73—41no—
743C4×C73—41no—
744C4×C73—41no—
745C4×C73—41no—
746C4×C73—41no—
747C4×C73—41no—
748C4×C73—41no—
749C4×C73—41no—
750C4×C73—41no—
751C4×C73—41no—
752C4×C73—41no—
753C4×C73—41no—
754C4×C73—41no—
755C4×C73—41no—
756C4×C73—41no—
757C4×C73—41no—
758#35074C7311yesmaximal, characteristic, direct product factor, Sylow
759C2×C73—24no—
760C2×C73—42no—
761C2×C73—42no—
762C2×C73—81no—
763C2×C73—81no—
764C2×C73#344411yescharacteristic
765C2×C73C2×#53811yescharacteristic
766C2×C73#345511yescharacteristic
767C2×C73#351311yescharacteristic
768C2×C73#351311yescharacteristic
769C2×C73#351311yescharacteristic
770C2×C73#351311yescharacteristic
771#2855C2×C7311yescharacteristic, complemented
772#2854C2×C7311yescharacteristic, complemented
773#2849C2×C7311yescharacteristic, complemented
774#2849C2×C7311yescharacteristic, complemented
775#2653C2×C7311yescharacteristic, complemented
776#2652C2×C7311yescharacteristic, complemented
777#2649C2×C7311yescharacteristic, complemented
778#2648C2×C7311yescharacteristic, complemented
779#2597C2×C7311yescharacteristic, complemented
780#2595C2×C7311yescharacteristic, complemented
781#2589C2×C7311yescharacteristic, complemented
782#2587C2×C7311yescharacteristic, complemented
783#2578C2×C7311yescharacteristic, complemented
784#2576C2×C7311yescharacteristic, complemented
785#2559C2×C7311yescharacteristic, complemented
786#2557C2×C7311yescharacteristic, complemented
787#2493C2×C7311yescharacteristic, complemented
788#2488C2×C7311yescharacteristic, complemented
789#2480C2×C7311yescharacteristic, complemented
790#2472C2×C7311yescharacteristic, complemented
791#2425C2×C7311yescharacteristic, complemented
792#2424C2×C7311yescharacteristic
793#2419C2×C7311yescharacteristic, complemented
794#2418C2×C7311yescharacteristic, complemented
795#2337C2×C7311yescharacteristic, complemented
796#2335C2×C7311yescharacteristic, complemented
797#2334C2×C7311yescharacteristic, complemented
798#2333C2×C7311yescharacteristic, complemented
799C4×#123C2×C7311yescharacteristic, complemented
800C4×#123C2×C7311yescharacteristic, complemented
801C2×C4×C22⋊C4C2×C7311yescharacteristic, complemented
802C73#3507411yescharacteristic, direct product factor, Sylow
803C24×C4C22×C7311yescharacteristic
804C2×#126C22×C7311yescharacteristic
805C2×#124C22×C7311yescharacteristic
806C2×#123C22×C7311yescharacteristic
807C2×#123C22×C7311yescharacteristic
808C2×#123C22×C7311yescharacteristic
809C2×#123C22×C7311yescharacteristic
810C2×#123C22×C7311yescharacteristic
811C2×C22⋊Q8C22×C7311yescharacteristic
812C2×#121C22×C7311yescharacteristic
813C2×#121C22×C7311yescharacteristic
814C2×#120C22×C7311yescharacteristic
815C2×#120C22×C7311yescharacteristic
816C2×C4×D4C22×C7311yescharacteristic
817C2×C4×D4C22×C7311yescharacteristic
818C22×C22⋊C4C22×C7311yescharacteristic
819C22×C22⋊C4C22×C7311yescharacteristic
820C22×C42C22×C7311yescharacteristic
821C22×C42C22×C7311yescharacteristic
822#401C22×C7311yescharacteristic, complemented
823#400C22×C7311yescharacteristic, complemented
824#400C22×C7311yescharacteristic, complemented
825#400C22×C7311yescharacteristic, complemented
826#400C22×C7311yescharacteristic, complemented
827#400C22×C7311yescharacteristic, complemented
828#400C22×C7311yescharacteristic, complemented
829#399C22×C7311yescharacteristic
830#398C22×C7311yescharacteristic, complemented
831#398C22×C7311yescharacteristic, complemented
832#397C22×C7311yescharacteristic
833#397C22×C7311yescharacteristic
834#397C22×C7311yescharacteristic
835#397C22×C7311yescharacteristic
836#397C22×C7311yescharacteristic
837#397C22×C7311yescharacteristic, complemented
838#397C22×C7311yescharacteristic, complemented
839#397C22×C7311yescharacteristic, complemented
840#397C22×C7311yescharacteristic, complemented
841#396C22×C7311yescharacteristic
842#396C22×C7311yescharacteristic
843#396C22×C7311yescharacteristic, complemented
844#394C22×C7311yescharacteristic
845#394C22×C7311yescharacteristic
846#394C22×C7311yescharacteristic
847#394C22×C7311yescharacteristic
848#394C22×C7311yescharacteristic
849#394C22×C7311yescharacteristic
850#394C22×C7311yescharacteristic, complemented
851#393C22×C7311yescharacteristic
852#393C22×C7311yescharacteristic, complemented
853#392C22×C7311yescharacteristic
854#391C22×C7311yescharacteristic, complemented
855#391C22×C7311yescharacteristic, complemented
856#391C22×C7311yescharacteristic, complemented
857#390C22×C7311yescharacteristic
858#390C22×C7311yescharacteristic
859#390C22×C7311yescharacteristic, complemented
860#390C22×C7311yescharacteristic, complemented
861#389C22×C7311yescharacteristic, complemented
862#389C22×C7311yescharacteristic, complemented
863#389C22×C7311yescharacteristic, complemented
864#389C22×C7311yescharacteristic, complemented
865#389C22×C7311yescharacteristic, complemented
866#388C22×C7311yescharacteristic
867#388C22×C7311yescharacteristic
868#388C22×C7311yescharacteristic
869#388C22×C7311yescharacteristic
870#388C22×C7311yescharacteristic
871#388C22×C7311yescharacteristic
872#388C22×C7311yescharacteristic
873#388C22×C7311yescharacteristic
874#388C22×C7311yescharacteristic, complemented
875#388C22×C7311yescharacteristic, complemented
876#388C22×C7311yescharacteristic, complemented
877#388C22×C7311yescharacteristic, complemented
878#388C22×C7311yescharacteristic, complemented
879#388C22×C7311yescharacteristic, complemented
880#388C22×C7311yescharacteristic, complemented
881#388C22×C7311yescharacteristic, complemented
882#388C22×C7311yescharacteristic, complemented
883#388C22×C7311yescharacteristic, complemented
884#388C22×C7311yescharacteristic, complemented
885#387C22×C7311yescharacteristic, complemented
886#387C22×C7311yescharacteristic, complemented
887#387C22×C7311yescharacteristic, complemented
888#387C22×C7311yescharacteristic, complemented
889#387C22×C7311yescharacteristic, complemented
890#387C22×C7311yescharacteristic, complemented
891#387C22×C7311yescharacteristic, complemented
892#387C22×C7311yescharacteristic, complemented
893#387C22×C7311yescharacteristic, complemented
894#387C22×C7311yescharacteristic, complemented
895#387C22×C7311yescharacteristic, complemented
896#387C22×C7311yescharacteristic, complemented
897#387C22×C7311yescharacteristic, complemented
898#386C22×C7311yescharacteristic
899#386C22×C7311yescharacteristic
900#386C22×C7311yescharacteristic
901#386C22×C7311yescharacteristic
902#386C22×C7311yescharacteristic
903#386C22×C7311yescharacteristic
904#386C22×C7311yescharacteristic
905#386C22×C7311yescharacteristic
906#386C22×C7311yescharacteristic
907#386C22×C7311yescharacteristic
908#386C22×C7311yescharacteristic
909#386C22×C7311yescharacteristic
910#386C22×C7311yescharacteristic
911#386C22×C7311yescharacteristic
912#386C22×C7311yescharacteristic, complemented
913#385C22×C7311yescharacteristic
914#385C22×C7311yescharacteristic
915#385C22×C7311yescharacteristic
916#385C22×C7311yescharacteristic
917#385C22×C7311yescharacteristic
918#385C22×C7311yescharacteristic
919#385C22×C7311yescharacteristic
920#385C22×C7311yescharacteristic
921#385C22×C7311yescharacteristic
922#385C22×C7311yescharacteristic
923#385C22×C7311yescharacteristic
924#385C22×C7311yescharacteristic
925#385C22×C7311yescharacteristic, complemented
926#383C22×C7311yescharacteristic, complemented
927#382C22×C7311yescharacteristic, complemented
928#381C22×C7311yescharacteristic
929#381C22×C7311yescharacteristic
930#381C22×C7311yescharacteristic
931#381C22×C7311yescharacteristic
932#381C22×C7311yescharacteristic, complemented
933#380C22×C7311yescharacteristic
934#380C22×C7311yescharacteristic
935#380C22×C7311yescharacteristic, complemented
936#379C22×C7311yescharacteristic
937#379C22×C7311yescharacteristic
938C4×C4⋊C4C22×C7311yescharacteristic, complemented
939C4×C4⋊C4C22×C7311yescharacteristic, complemented
940C4×C4⋊C4C22×C7311yescharacteristic, complemented
941C4×C4⋊C4C22×C7311yescharacteristic, complemented
942C4×C22⋊C4C22×C7311yescharacteristic
943C4×C22⋊C4C22×C7311yescharacteristic
944C4×C22⋊C4C22×C7311yescharacteristic
945C4×C22⋊C4C22×C7311yescharacteristic
946C4×C22⋊C4C22×C7311yescharacteristic
947C4×C22⋊C4C22×C7311yescharacteristic
948C4×C22⋊C4C22×C7311yescharacteristic
949C4×C22⋊C4C22×C7311yescharacteristic
950C4×C22⋊C4C22×C7311yescharacteristic
951C4×C22⋊C4C22×C7311yescharacteristic
952C4×C22⋊C4C22×C7311yescharacteristic, complemented
953C4×C22⋊C4C22×C7311yescharacteristic, complemented
954C4×C22⋊C4C22×C7311yescharacteristic, complemented
955C4×C22⋊C4C22×C7311yescharacteristic, complemented
956C2×#95C22×C7311yescharacteristic
957C2×#95C22×C7311yescharacteristic
958C25C23×C7311yescharacteristic
959C22×Q8C23×C7311yescharacteristic
960C22×D4C23×C7311yescharacteristic
961C22×D4C23×C7311yescharacteristic
962C22×D4C23×C7311yescharacteristic
963C22×D4C23×C7311yescharacteristic
964C22×D4C23×C7311yescharacteristic
965C22×D4C23×C7311yescharacteristic
966C22×D4C23×C7311yescharacteristic
967C23×C4—24no—
968C23×C4—42no—
969C23×C4—42no—
970C23×C4C23×C7311yescharacteristic
971C23×C4C23×C7311yescharacteristic
972C23×C4C23×C7311yescharacteristic
973C23×C4C23×C7311yescharacteristic
974C23×C4C23×C7311yescharacteristic
975C23×C4C23×C7311yescharacteristic
976C23×C4C23×C7311yescharacteristic
977C23×C4C23×C7311yescharacteristic
978C23×C4C23×C7311yescharacteristic
979C23×C4C23×C7311yescharacteristic
980C23×C4C23×C7311yescharacteristic
981C23×C4C23×C7311yescharacteristic
982#126—24no—
983#124—24no—
984#123—24no—
985#123—24no—
986#123—24no—
987#123—42no—
988#123—42no—
989C22⋊Q8—42no—
990#121—24no—
991#121—42no—
992#120—42no—
993#120—42no—
994C4×D4—42no—
995C4×D4—42no—
996C2×C4⋊C4C23×C7311yescharacteristic
997C2×C4⋊C4C23×C7311yescharacteristic
998C2×C4⋊C4C23×C7311yescharacteristic
999C2×C4⋊C4C23×C7311yescharacteristic
1000C2×C4⋊C4C23×C7311yescharacteristic
1001C2×C4⋊C4C23×C7311yescharacteristic
1002C2×C4⋊C4C23×C7311yescharacteristic
1003C2×C4⋊C4C23×C7311yescharacteristic
1004C2×C4⋊C4C23×C7311yescharacteristic
1005C2×C4⋊C4C23×C7311yescharacteristic
1006C2×C4⋊C4C23×C7311yescharacteristic
1007C2×C4⋊C4C23×C7311yescharacteristic
1008C2×C4⋊C4C23×C7311yescharacteristic
1009C2×C4⋊C4C23×C7311yescharacteristic
1010C2×C4⋊C4C23×C7311yescharacteristic
1011C2×C4⋊C4C23×C7311yescharacteristic
1012C2×C4⋊C4C23×C7311yescharacteristic
1013C2×C4⋊C4C23×C7311yescharacteristic
1014C2×C4⋊C4C23×C7311yescharacteristic
1015C2×C4⋊C4C23×C7311yescharacteristic
1016C2×C4⋊C4C23×C7311yescharacteristic
1017C2×C4⋊C4C23×C7311yescharacteristic
1018C2×C4⋊C4C23×C7311yescharacteristic
1019C2×C4⋊C4C23×C7311yescharacteristic
1020C2×C4⋊C4C23×C7311yescharacteristic
1021C2×C4⋊C4C23×C7311yescharacteristic
1022C2×C22⋊C4—24no—
1023C2×C22⋊C4—24no—
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×C22⋊C4C23×C7311yescharacteristic
1044C2×C22⋊C4C23×C7311yescharacteristic
1045C2×C22⋊C4C23×C7311yescharacteristic
1046C2×C22⋊C4C23×C7311yescharacteristic
1047C2×C22⋊C4C23×C7311yescharacteristic
1048C2×C22⋊C4C23×C7311yescharacteristic
1049C2×C22⋊C4C23×C7311yescharacteristic
1050C2×C22⋊C4C23×C7311yescharacteristic
1051C2×C22⋊C4C23×C7311yescharacteristic
1052C2×C22⋊C4C23×C7311yescharacteristic
1053C2×C22⋊C4C23×C7311yescharacteristic
1054C2×C22⋊C4C23×C7311yescharacteristic
1055C2×C22⋊C4C23×C7311yescharacteristic
1056C2×C22⋊C4C23×C7311yescharacteristic
1057C2×C22⋊C4C23×C7311yescharacteristic
1058C2×C22⋊C4C23×C7311yescharacteristic
1059C2×C22⋊C4C23×C7311yescharacteristic
1060C2×C22⋊C4C23×C7311yescharacteristic
1061C2×C22⋊C4C23×C7311yescharacteristic
1062C2×C22⋊C4C23×C7311yescharacteristic
1063C2×C22⋊C4C23×C7311yescharacteristic
1064C2×C22⋊C4C23×C7311yescharacteristic
1065C2×C22⋊C4C23×C7311yescharacteristic
1066C2×C22⋊C4C23×C7311yescharacteristic
1067C2×C22⋊C4C23×C7311yescharacteristic
1068C2×C22⋊C4C23×C7311yescharacteristic
1069C2×C22⋊C4C23×C7311yescharacteristic
1070C2×C42—42no—
1071C2×C42—42no—
1072C2×C42C23×C7311yescharacteristic
1073C2×C42C23×C7311yescharacteristic
1074C2×C42C23×C7311yescharacteristic
1075C2×C42C23×C7311yescharacteristic
1076C2×C42C23×C7311yescharacteristic
1077C2×C42C23×C7311yescharacteristic
1078C2×C42C23×C7311yescharacteristic
1079C2×C42C23×C7311yescharacteristic
1080C2×C42C23×C7311yescharacteristic
1081C2×C42C23×C7311yescharacteristic
1082C2×C42C23×C7311yescharacteristic
1083C2×C42C23×C7311yescharacteristic
1084C2×C42C23×C7311yescharacteristic
1085C2×C42C23×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
1112#95C23×C7311yescharacteristic
1113#95C23×C7311yescharacteristic
1114#95C23×C7311yescharacteristic
1115#95C23×C7311yescharacteristic
1116#95C23×C7311yescharacteristic
1117#95C23×C7311yescharacteristic
1118#95C23×C7311yescharacteristic
1119#95C23×C7311yescharacteristic
1120#95C23×C7311yescharacteristic
1121#95C23×C7311yescharacteristic
1122#95C23×C7311yescharacteristic
1123#95C23×C7311yescharacteristic
1124#95C23×C7311yescharacteristic
1125#95C23×C7311yescharacteristic
1126#95C23×C7311yescharacteristic
1127#95C23×C7311yescharacteristic
1128#95C23×C7311yescharacteristic
1129#95C23×C7311yescharacteristic
1130#95C23×C7311yescharacteristic
1131#95C23×C7311yescharacteristic
1132#95C23×C7311yescharacteristic
1133#95C23×C7311yescharacteristic
1134C24—22no—
1135C24—22no—
1136C24—22no—
1137C24—22no—
1138C24—22no—
1139C24—41no—
1140C24—41no—
1141C24C24×C7311yescharacteristic
1142C24C24×C7311yescharacteristic
1143C24C24×C7311yescharacteristic
1144C24C24×C7311yescharacteristic
1145C24C24×C7311yescharacteristic
1146C2×Q8—22no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—416no—
1206C22×C4#41×C7314yes—
1207C22×C4C24×C7311yescharacteristic
1208C22×C4C24×C7311yescharacteristic
1209C22×C4C24×C7311yescharacteristic
1210C22×C4C24×C7311yescharacteristic
1211C22×C4C24×C7311yescharacteristic
1212C22×C4C24×C7311yescharacteristic
1213C22×C4C24×C7311yescharacteristic
1214C22×C4C24×C7311yescharacteristic
1215C22×C4C24×C7311yescharacteristic
1216C22×C4C24×C7311yescharacteristic
1217C22×C4C24×C7311yescharacteristic
1218C22×C4C24×C7311yescharacteristic
1219C22×C4C24×C7311yescharacteristic
1220C22×C4C24×C7311yescharacteristic
1221C22×C4C24×C7311yescharacteristic
1222C22×C4C24×C7311yescharacteristic
1223C22×C4C24×C7311yescharacteristic
1224C22×C4C24×C7311yescharacteristic
1225C22×C4C24×C7311yescharacteristic
1226C22×C4C24×C7311yescharacteristic
1227C22×C4C24×C7311yescharacteristic
1228C22×C4C24×C7311yescharacteristic
1229C22×C4C24×C7311yescharacteristic
1230C22×C4C24×C7311yescharacteristic
1231C22×C4C24×C7311yescharacteristic
1232C22×C4C24×C7311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4#41×C7314yes—
1304C22⋊C4#41×C7314yes—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—28no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23C2×#41×C7312yes—
1357C23C2×#41×C7312yes—
1358C23C2×#41×C7312yes—
1359C23H(5,𝔽2)×C7312yes—
1360C23H(5,𝔽2)×C7312yes—
1361C23C25×C7311yescharacteristic
1362Q8—82no—
1363D4—44no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369D4—82no—
1370C2×C4—28no—
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—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4C2×#41×C7312yes—
1455C2×C4C2×#41×C7312yes—
1456C2×C4C2×#41×C7312yes—
1457C2×C4C2×#41×C7312yes—
1458C2×C4C2×#41×C7312yes—
1459C2×C4C2×#41×C7312yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22#538×C7314yes—
1496C22C22×#41×C7311yescharacteristic
1497C22C22×#41×C7311yescharacteristic
1498C22C22×#41×C7311yescharacteristic
1499C22C2×H(5,𝔽2)×C7311yescharacteristic
1500C22C2×H(5,𝔽2)×C7311yescharacteristic
1501C22#585×C7311yescharacteristic
1502C22#585×C7311yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C2—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2C73×#344411yescharacteristic
1535C2C2×#538×C7311yescharacteristic
1536C2C73×#345511yescharacteristic
1537C2C73×#351311yescharacteristic
1538C2C73×#351311yescharacteristic
1539C2C73×#351311yescharacteristic
1540C2C73×#351311yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC73×#2424C2
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×#2854C2semidirect
3. C73×#2849C2semidirect
4. C73×#2849C2semidirect
5. C73×#2653C2semidirect
6. C73×#2652C2semidirect
7. C73×#2649C2semidirect
8. C73×#2648C2semidirect
9. C73×#2597C2semidirect
10. C73×#2595C2semidirect
11. C73×#2589C2semidirect
12. C73×#2587C2semidirect
13. C73×#2578C2semidirect
14. C73×#2576C2semidirect
15. C73×#2559C2semidirect
16. C73×#2557C2semidirect
17. C73×#2493C2semidirect
18. C73×#2488C2semidirect
19. C73×#2480C2semidirect
20. C73×#2472C2semidirect
21. C73×#2425C2semidirect
23. C73×#2419C2semidirect
24. C73×#2418C2semidirect
25. C73×#2337C2semidirect
26. C73×#2335C2semidirect
27. C73×#2334C2semidirect
28. C73×#2333C2semidirect
29. C4×#123×C73C2semidirect
30. C4×#123×C73C2semidirect
31. C2×C4×C22⋊C4×C73C2semidirect
51. #401×C73C22semidirect
52. #400×C73C22semidirect
53. #400×C73C22semidirect
54. #400×C73C22semidirect
55. #400×C73C22semidirect
56. #400×C73C22semidirect
57. #400×C73C22semidirect
59. #398×C73C22semidirect
60. #398×C73C22semidirect
66. #397×C73C22semidirect
67. #397×C73C22semidirect
68. #397×C73C22semidirect
69. #397×C73C22semidirect
72. #396×C73C22semidirect
79. #394×C73C22semidirect
81. #393×C73C22semidirect
83. #391×C73C22semidirect
84. #391×C73C22semidirect
85. #391×C73C22semidirect
88. #390×C73C22semidirect
89. #390×C73C22semidirect
90. #389×C73C22semidirect
91. #389×C73C22semidirect
92. #389×C73C22semidirect
93. #389×C73C22semidirect
94. #389×C73C22semidirect
103. #388×C73C22semidirect
104. #388×C73C22semidirect
105. #388×C73C22semidirect
106. #388×C73C22semidirect
107. #388×C73C22semidirect
108. #388×C73C22semidirect
109. #388×C73C22semidirect
110. #388×C73C22semidirect
111. #388×C73C22semidirect
112. #388×C73C22semidirect
113. #388×C73C22semidirect
114. #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
141. #386×C73C22semidirect
154. #385×C73C22semidirect
155. #383×C73C22semidirect
156. #382×C73C22semidirect
161. #381×C73C22semidirect
164. #380×C73C22semidirect
167. C4×C4⋊C4×C73C22semidirect
168. C4×C4⋊C4×C73C22semidirect
169. C4×C4⋊C4×C73C22semidirect
170. C4×C4⋊C4×C73C22semidirect
181. C4×C22⋊C4×C73C22semidirect
182. C4×C22⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
758. #35074C73direct (N × H)
771. #2855C2×C73semidirect
772. #2854C2×C73semidirect
773. #2849C2×C73semidirect
774. #2849C2×C73semidirect
775. #2653C2×C73semidirect
776. #2652C2×C73semidirect
777. #2649C2×C73semidirect
778. #2648C2×C73semidirect
779. #2597C2×C73semidirect
780. #2595C2×C73semidirect
781. #2589C2×C73semidirect
782. #2587C2×C73semidirect
783. #2578C2×C73semidirect
784. #2576C2×C73semidirect
785. #2559C2×C73semidirect
786. #2557C2×C73semidirect
787. #2493C2×C73semidirect
788. #2488C2×C73semidirect
789. #2480C2×C73semidirect
790. #2472C2×C73semidirect
791. #2425C2×C73semidirect
793. #2419C2×C73semidirect
794. #2418C2×C73semidirect
795. #2337C2×C73semidirect
796. #2335C2×C73semidirect
797. #2334C2×C73semidirect
798. #2333C2×C73semidirect
799. C4×#123C2×C73semidirect
800. C4×#123C2×C73semidirect
801. C2×C4×C22⋊C4C2×C73semidirect
802. C73#35074direct (N × H)
822. #401C22×C73semidirect
823. #400C22×C73semidirect
824. #400C22×C73semidirect
825. #400C22×C73semidirect
826. #400C22×C73semidirect
827. #400C22×C73semidirect
828. #400C22×C73semidirect
830. #398C22×C73semidirect
831. #398C22×C73semidirect
837. #397C22×C73semidirect
838. #397C22×C73semidirect
839. #397C22×C73semidirect
840. #397C22×C73semidirect
843. #396C22×C73semidirect
850. #394C22×C73semidirect
852. #393C22×C73semidirect
854. #391C22×C73semidirect
855. #391C22×C73semidirect
856. #391C22×C73semidirect
859. #390C22×C73semidirect
860. #390C22×C73semidirect
861. #389C22×C73semidirect
862. #389C22×C73semidirect
863. #389C22×C73semidirect
864. #389C22×C73semidirect
865. #389C22×C73semidirect
874. #388C22×C73semidirect
875. #388C22×C73semidirect
876. #388C22×C73semidirect
877. #388C22×C73semidirect
878. #388C22×C73semidirect
879. #388C22×C73semidirect
880. #388C22×C73semidirect
881. #388C22×C73semidirect
882. #388C22×C73semidirect
883. #388C22×C73semidirect
884. #388C22×C73semidirect
885. #387C22×C73semidirect
886. #387C22×C73semidirect
887. #387C22×C73semidirect
888. #387C22×C73semidirect
889. #387C22×C73semidirect
890. #387C22×C73semidirect
891. #387C22×C73semidirect
892. #387C22×C73semidirect
893. #387C22×C73semidirect
894. #387C22×C73semidirect
895. #387C22×C73semidirect
896. #387C22×C73semidirect
897. #387C22×C73semidirect
912. #386C22×C73semidirect
925. #385C22×C73semidirect
926. #383C22×C73semidirect
927. #382C22×C73semidirect
932. #381C22×C73semidirect
935. #380C22×C73semidirect
938. C4×C4⋊C4C22×C73semidirect
939. C4×C4⋊C4C22×C73semidirect
940. C4×C4⋊C4C22×C73semidirect
941. C4×C4⋊C4C22×C73semidirect
952. C4×C22⋊C4C22×C73semidirect
953. C4×C22⋊C4C22×C73semidirect
954. C4×C22⋊C4C22×C73semidirect
955. C4×C22⋊C4C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28552
C73×#28542
C73×#28492
C73×#26532
C73×#26522
C73×#26492
C73×#26482
C73×#25972
C73×#25952
C73×#25892
C73×#25872
C73×#25782
C73×#25762
C73×#25592
C73×#25572
C73×#24932
C73×#24882
C73×#24802
C73×#24722
C73×#24252
C73×#24242
C73×#24192
C73×#24182
C73×#23372
C73×#23352
C73×#23342
C73×#23332
C4×#123×C732
C2×C4×C22⋊C4×C732
#3507473