Finite Group Databasebeta

← C73×#36734 #32946138

Subgroups — C73×#36734 #32946138

Order 18688.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2849C211yesmaximal, characteristic, complemented
2C73×#2847C211yesmaximal, characteristic, complemented
3C73×#2746C211yesmaximal, characteristic, complemented
4C73×#2746C211yesmaximal, characteristic, complemented
5C73×#2744C211yesmaximal, characteristic, complemented
6C73×#2743C211yesmaximal, characteristic, complemented
7C73×#2741C211yesmaximal, characteristic, complemented
8C73×#2722C211yesmaximal, characteristic, complemented
9C73×#2706C211yesmaximal, characteristic, complemented
10C73×#2705C211yesmaximal, characteristic, complemented
11C73×#2701C211yesmaximal, characteristic, complemented
12C73×#2699C211yesmaximal, characteristic, complemented
13C73×#2691C211yesmaximal, characteristic, complemented
14C73×#2685C211yesmaximal, characteristic, complemented
15C73×#2685C211yesmaximal, characteristic, complemented
16C73×#2678C211yesmaximal, characteristic, complemented
17C73×#2671C211yesmaximal, characteristic, complemented
18C73×#2668C211yesmaximal, characteristic, complemented
19C73×#2667C211yesmaximal, characteristic, complemented
20C73×#2661C211yesmaximal, characteristic, complemented
21C73×#2595C211yesmaximal, characteristic, complemented
22C73×#2576C211yesmaximal, characteristic, complemented
23C73×#2559C211yesmaximal, characteristic, complemented
24C73×#2559C211yesmaximal, characteristic, complemented
25C73×#2479C211yesmaximal, characteristic, complemented
26C73×#2476C211yesmaximal, characteristic, complemented
27C73×#2471C211yesmaximal, characteristic, complemented
28C73×#2470C211yesmaximal, characteristic, complemented
29C73×#2335C211yesmaximal, characteristic, complemented
30C73×#2333C211yesmaximal, characteristic, complemented
31C73×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic
34C2×#126×C73C2211yescharacteristic
35C2×#126×C73C2211yescharacteristic, complemented
36C2×#123×C73C2211yescharacteristic
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic, complemented
40C2×#121×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×#121×C73C2211yescharacteristic
44C2×#121×C73C2211yescharacteristic
45C2×#121×C73C2211yescharacteristic
46C2×#120×C73C2211yescharacteristic
47C2×#120×C73C2211yescharacteristic
48C2×#120×C73C2211yescharacteristic
49C2×#117×C73C2211yescharacteristic
50C2×#117×C73C2211yescharacteristic
51#401×C73C2211yescharacteristic, complemented
52#400×C73C2211yescharacteristic, complemented
53#400×C73C2211yescharacteristic, complemented
54#400×C73C2211yescharacteristic, complemented
55#400×C73C2211yescharacteristic, complemented
56#399×C73C2211yescharacteristic
57#399×C73C2211yescharacteristic
58#399×C73C2211yescharacteristic
59#399×C73C2211yescharacteristic, complemented
60#399×C73C2211yescharacteristic, complemented
61#398×C73C2211yescharacteristic, complemented
62#398×C73C2211yescharacteristic, complemented
63#398×C73C2211yescharacteristic, complemented
64#398×C73C2211yescharacteristic, complemented
65#398×C73C2211yescharacteristic, complemented
66#398×C73C2211yescharacteristic, complemented
67#398×C73C2211yescharacteristic, complemented
68#397×C73C2211yescharacteristic
69#397×C73C2211yescharacteristic
70#397×C73C2211yescharacteristic
71#397×C73C2211yescharacteristic, complemented
72#397×C73C2211yescharacteristic, complemented
73#397×C73C2211yescharacteristic, complemented
74#396×C73C2211yescharacteristic
75#396×C73C2211yescharacteristic
76#396×C73C2211yescharacteristic
77#396×C73C2211yescharacteristic, complemented
78#396×C73C2211yescharacteristic, complemented
79#394×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#394×C73C2211yescharacteristic
82#394×C73C2211yescharacteristic
83#394×C73C2211yescharacteristic
84#394×C73C2211yescharacteristic
85#394×C73C2211yescharacteristic
86#394×C73C2211yescharacteristic
87#394×C73C2211yescharacteristic
88#394×C73C2211yescharacteristic
89#394×C73C2211yescharacteristic
90#394×C73C2211yescharacteristic
91#394×C73C2211yescharacteristic, complemented
92#394×C73C2211yescharacteristic, complemented
93#394×C73C2211yescharacteristic, complemented
94#394×C73C2211yescharacteristic, complemented
95#392×C73C2211yescharacteristic
96#392×C73C2211yescharacteristic
97#392×C73C2211yescharacteristic
98#392×C73C2211yescharacteristic, complemented
99#390×C73C2211yescharacteristic
100#390×C73C2211yescharacteristic
101#390×C73C2211yescharacteristic
102#390×C73C2211yescharacteristic
103#390×C73C2211yescharacteristic
104#390×C73C2211yescharacteristic
105#390×C73C2211yescharacteristic, complemented
106#390×C73C2211yescharacteristic, complemented
107#389×C73C2211yescharacteristic, complemented
108#389×C73C2211yescharacteristic, complemented
109#389×C73C2211yescharacteristic, complemented
110#389×C73C2211yescharacteristic, complemented
111#388×C73C2211yescharacteristic
112#388×C73C2211yescharacteristic
113#388×C73C2211yescharacteristic
114#388×C73C2211yescharacteristic
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic
118#388×C73C2211yescharacteristic, complemented
119#388×C73C2211yescharacteristic, complemented
120#388×C73C2211yescharacteristic, complemented
121#388×C73C2211yescharacteristic, complemented
122#388×C73C2211yescharacteristic, complemented
123#388×C73C2211yescharacteristic, complemented
124#388×C73C2211yescharacteristic, complemented
125#388×C73C2211yescharacteristic, complemented
126#388×C73C2211yescharacteristic, complemented
127#388×C73C2211yescharacteristic, complemented
128#387×C73C2211yescharacteristic, complemented
129#387×C73C2211yescharacteristic, complemented
130#387×C73C2211yescharacteristic, complemented
131#387×C73C2211yescharacteristic, complemented
132#387×C73C2211yescharacteristic, complemented
133#387×C73C2211yescharacteristic, complemented
134#387×C73C2211yescharacteristic, complemented
135#387×C73C2211yescharacteristic, complemented
136#387×C73C2211yescharacteristic, complemented
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#386×C73C2211yescharacteristic
142#386×C73C2211yescharacteristic
143#386×C73C2211yescharacteristic
144#386×C73C2211yescharacteristic
145#386×C73C2211yescharacteristic
146#386×C73C2211yescharacteristic
147#386×C73C2211yescharacteristic
148#386×C73C2211yescharacteristic
149#386×C73C2211yescharacteristic
150#386×C73C2211yescharacteristic
151#386×C73C2211yescharacteristic
152#386×C73C2211yescharacteristic, complemented
153#386×C73C2211yescharacteristic, complemented
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic
157#385×C73C2211yescharacteristic
158#385×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#385×C73C2211yescharacteristic, complemented
162#385×C73C2211yescharacteristic, complemented
163#382×C73C2211yescharacteristic, complemented
164#381×C73C2211yescharacteristic
165#381×C73C2211yescharacteristic
166#381×C73C2211yescharacteristic
167#381×C73C2211yescharacteristic
168#381×C73C2211yescharacteristic, complemented
169#380×C73C2211yescharacteristic
170#380×C73C2211yescharacteristic
171#380×C73C2211yescharacteristic
172#380×C73C2211yescharacteristic
173#380×C73C2211yescharacteristic
174#380×C73C2211yescharacteristic
175#380×C73C2211yescharacteristic
176#379×C73C2211yescharacteristic
177#379×C73C2211yescharacteristic
178#379×C73C2211yescharacteristic
179C4×C4⋊C4×C73C2211yescharacteristic, complemented
180C4×C22⋊C4×C73C2211yescharacteristic
181C4×C22⋊C4×C73C2211yescharacteristic
182C4×C22⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C22×D4×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C23×C4×C73—24no—
201C23×C4×C73—42no—
202C23×C4×C73—42no—
203C23×C4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212#126×C73—42no—
213#126×C73—42no—
214#126×C73—42no—
215#123×C73—24no—
216#123×C73—42no—
217#123×C73—42no—
218#123×C73—42no—
219#121×C73—24no—
220#121×C73—42no—
221#121×C73—42no—
222#121×C73—42no—
223#121×C73—42no—
224#121×C73—42no—
225#120×C73—42no—
226#120×C73—42no—
227#120×C73—42no—
228#117×C73—42no—
229#117×C73—42no—
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×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C4⋊C4×C73C2311yescharacteristic
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C22⋊C4×C73C2311yescharacteristic
261C2×C22⋊C4×C73C2311yescharacteristic
262C2×C22⋊C4×C73C2311yescharacteristic
263C2×C22⋊C4×C73C2311yescharacteristic
264C2×C22⋊C4×C73C2311yescharacteristic
265C2×C22⋊C4×C73C2311yescharacteristic
266C2×C22⋊C4×C73C2311yescharacteristic
267C2×C22⋊C4×C73C2311yescharacteristic
268C2×C22⋊C4×C73C2311yescharacteristic
269C2×C22⋊C4×C73C2311yescharacteristic
270C2×C22⋊C4×C73C2311yescharacteristic
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C42×C73C2311yescharacteristic
315C2×C42×C73C2311yescharacteristic
316C2×C42×C73C2311yescharacteristic
317C2×C42×C73C2311yescharacteristic
318C2×C42×C73C2311yescharacteristic
319C2×C42×C73C2311yescharacteristic
320C2×C42×C73C2311yescharacteristic
321C2×C42×C73C2311yescharacteristic
322C2×C42×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—41no—
367C24×C73—41no—
368C24×C73—41no—
369C24×C73—41no—
370C24×C73C2411yescharacteristic
371C24×C73C2411yescharacteristic
372C24×C73C2411yescharacteristic
373C24×C73C2411yescharacteristic
374C24×C73C2411yescharacteristic
375C24×C73C2411yescharacteristic
376C2×D4×C73—22no—
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—22no—
385C2×D4×C73—22no—
386C2×D4×C73—41no—
387C2×D4×C73—41no—
388C2×D4×C73—41no—
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—
399C2×D4×C73—41no—
400C2×D4×C73—41no—
401C2×D4×C73—41no—
402C2×D4×C73—41no—
403C2×D4×C73—41no—
404C2×D4×C73—41no—
405C2×D4×C73—41no—
406C2×D4×C73—41no—
407C2×D4×C73—41no—
408C2×D4×C73—41no—
409C2×D4×C73—41no—
410C2×D4×C73—41no—
411C2×D4×C73—41no—
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—22no—
419C22×C4×C73—22no—
420C22×C4×C73—22no—
421C22×C4×C73—22no—
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—41no—
435C22×C4×C73—41no—
436C22×C4×C73—41no—
437C22×C4×C73—41no—
438C22×C4×C73—416no—
439C22×C4×C73#4114yes—
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
462C22×C4×C73C2411yescharacteristic
463C22×C4×C73C2411yescharacteristic
464C22×C4×C73C2411yescharacteristic
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—41no—
472C4⋊C4×C73—41no—
473C4⋊C4×C73—41no—
474C4⋊C4×C73—41no—
475C4⋊C4×C73—41no—
476C4⋊C4×C73—41no—
477C4⋊C4×C73—41no—
478C4⋊C4×C73—41no—
479C4⋊C4×C73—41no—
480C4⋊C4×C73—41no—
481C4⋊C4×C73—41no—
482C4⋊C4×C73—41no—
483C4⋊C4×C73—41no—
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—
491C4⋊C4×C73—41no—
492C4⋊C4×C73—41no—
493C4⋊C4×C73—41no—
494C4⋊C4×C73—41no—
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—41no—
512C22⋊C4×C73—41no—
513C22⋊C4×C73—41no—
514C22⋊C4×C73—41no—
515C22⋊C4×C73—41no—
516C22⋊C4×C73—41no—
517C22⋊C4×C73—41no—
518C22⋊C4×C73—41no—
519C22⋊C4×C73—41no—
520C22⋊C4×C73—41no—
521C22⋊C4×C73—41no—
522C22⋊C4×C73—41no—
523C22⋊C4×C73—41no—
524C22⋊C4×C73—41no—
525C22⋊C4×C73—41no—
526C22⋊C4×C73—41no—
527C22⋊C4×C73—41no—
528C22⋊C4×C73—41no—
529C22⋊C4×C73—41no—
530C22⋊C4×C73—41no—
531C22⋊C4×C73—41no—
532C22⋊C4×C73—41no—
533C22⋊C4×C73—41no—
534C22⋊C4×C73—41no—
535C22⋊C4×C73—41no—
536C22⋊C4×C73—41no—
537C22⋊C4×C73—41no—
538C22⋊C4×C73—41no—
539C22⋊C4×C73—41no—
540C22⋊C4×C73—41no—
541C22⋊C4×C73—41no—
542C22⋊C4×C73—41no—
543C22⋊C4×C73—41no—
544C22⋊C4×C73—41no—
545C22⋊C4×C73—41no—
546C22⋊C4×C73—41no—
547C22⋊C4×C73—41no—
548C22⋊C4×C73—41no—
549C42×C73—41no—
550C42×C73—41no—
551C42×C73—41no—
552C42×C73—41no—
553C42×C73—41no—
554C42×C73—41no—
555C42×C73—41no—
556C42×C73—41no—
557C42×C73—41no—
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—21no—
580C23×C73—21no—
581C23×C73—21no—
582C23×C73—21no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—44no—
598C23×C73—44no—
599C23×C73—44no—
600C23×C73—44no—
601C23×C73—44no—
602C23×C73—44no—
603C23×C73—44no—
604C23×C73C2×#4112yes—
605C23×C73H(5,𝔽2)12yes—
606C23×C73H(5,𝔽2)12yes—
607C23×C73C2511yescharacteristic
608D4×C73—82no—
609D4×C73—82no—
610D4×C73—82no—
611D4×C73—82no—
612D4×C73—82no—
613D4×C73—82no—
614D4×C73—82no—
615D4×C73—82no—
616D4×C73—82no—
617D4×C73—82no—
618D4×C73—82no—
619D4×C73—82no—
620C2×C4×C73—28no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—44no—
694C2×C4×C73—44no—
695C2×C4×C73—44no—
696C2×C4×C73—44no—
697C2×C4×C73—44no—
698C2×C4×C73—82no—
699C2×C4×C73—82no—
700C2×C4×C73—82no—
701C2×C4×C73C2×#4112yes—
702C2×C4×C73C2×#4112yes—
703C2×C4×C73H(5,𝔽2)12yes—
704C22×C73—22no—
705C22×C73—22no—
706C22×C73—22no—
707C22×C73—22no—
708C22×C73—22no—
709C22×C73—22no—
710C22×C73—22no—
711C22×C73—22no—
712C22×C73—22no—
713C22×C73—416no—
714C22×C73—41no—
715C22×C73—41no—
716C22×C73—41no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
723C22×C73—41no—
724C22×C73—41no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73—41no—
730C22×C73—41no—
731C22×C73—41no—
732C22×C73—41no—
733C22×C73—41no—
734C22×C73—41no—
735C22×C73—41no—
736C22×C73—41no—
737C22×C73—41no—
738C22×C73—41no—
739C22×C73—41no—
740C22×C73—41no—
741C22×C73—41no—
742C22×C73—41no—
743C22×C73—41no—
744C22×C73—41no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73C22×#4111yescharacteristic
748C22×C73C2×H(5,𝔽2)11yescharacteristic
749C22×C73C2×H(5,𝔽2)11yescharacteristic
750C22×C73C2×H(5,𝔽2)11yescharacteristic
751C22×C73#58511yescharacteristic
752C22×C73#58511yescharacteristic
753C22×C73#58511yescharacteristic
754C4×C73—22no—
755C4×C73—22no—
756C4×C73—22no—
757C4×C73—41no—
758C4×C73—41no—
759C4×C73—41no—
760C4×C73—41no—
761C4×C73—41no—
762C4×C73—41no—
763C4×C73—41no—
764C4×C73—41no—
765C4×C73—41no—
766C4×C73—41no—
767C4×C73—41no—
768C4×C73—41no—
769C4×C73—41no—
770C4×C73—41no—
771C4×C73—41no—
772C4×C73—41no—
773C4×C73—41no—
774C4×C73—41no—
775C4×C73—41no—
776C4×C73—41no—
777C4×C73—41no—
778C4×C73—41no—
779#36734C7311yesmaximal, characteristic, direct product factor, Sylow
780C2×C73—42no—
781C2×C73—42no—
782C2×C73—42no—
783C2×C73—81no—
784C2×C73—81no—
785C2×C73—81no—
786C2×C73#345511yescharacteristic
787C2×C73#349011yescharacteristic
788C2×C73#349411yescharacteristic
789C2×C73#353311yescharacteristic
790C2×C73#353411yescharacteristic
791C2×C73#353911yescharacteristic
792C2×C73#354211yescharacteristic
793#2849C2×C7311yescharacteristic, complemented
794#2847C2×C7311yescharacteristic, complemented
795#2746C2×C7311yescharacteristic, complemented
796#2746C2×C7311yescharacteristic, complemented
797#2744C2×C7311yescharacteristic, complemented
798#2743C2×C7311yescharacteristic, complemented
799#2741C2×C7311yescharacteristic, complemented
800#2722C2×C7311yescharacteristic, complemented
801#2706C2×C7311yescharacteristic, complemented
802#2705C2×C7311yescharacteristic, complemented
803#2701C2×C7311yescharacteristic, complemented
804#2699C2×C7311yescharacteristic, complemented
805#2691C2×C7311yescharacteristic, complemented
806#2685C2×C7311yescharacteristic, complemented
807#2685C2×C7311yescharacteristic, complemented
808#2678C2×C7311yescharacteristic, complemented
809#2671C2×C7311yescharacteristic, complemented
810#2668C2×C7311yescharacteristic, complemented
811#2667C2×C7311yescharacteristic, complemented
812#2661C2×C7311yescharacteristic, complemented
813#2595C2×C7311yescharacteristic, complemented
814#2576C2×C7311yescharacteristic, complemented
815#2559C2×C7311yescharacteristic, complemented
816#2559C2×C7311yescharacteristic, complemented
817#2479C2×C7311yescharacteristic, complemented
818#2476C2×C7311yescharacteristic, complemented
819#2471C2×C7311yescharacteristic, complemented
820#2470C2×C7311yescharacteristic, complemented
821#2335C2×C7311yescharacteristic, complemented
822#2333C2×C7311yescharacteristic, complemented
823#2280C2×C7311yescharacteristic, complemented
824C73#3673411yescharacteristic, direct product factor, Sylow
825C24×C4C22×C7311yescharacteristic
826C2×#126C22×C7311yescharacteristic
827C2×#126C22×C7311yescharacteristic
828C2×#126C22×C7311yescharacteristic, complemented
829C2×#123C22×C7311yescharacteristic
830C2×#123C22×C7311yescharacteristic
831C2×#123C22×C7311yescharacteristic
832C2×#123C22×C7311yescharacteristic, complemented
833C2×#121C22×C7311yescharacteristic
834C2×#121C22×C7311yescharacteristic
835C2×#121C22×C7311yescharacteristic
836C2×#121C22×C7311yescharacteristic
837C2×#121C22×C7311yescharacteristic
838C2×#121C22×C7311yescharacteristic
839C2×#120C22×C7311yescharacteristic
840C2×#120C22×C7311yescharacteristic
841C2×#120C22×C7311yescharacteristic
842C2×#117C22×C7311yescharacteristic
843C2×#117C22×C7311yescharacteristic
844#401C22×C7311yescharacteristic, complemented
845#400C22×C7311yescharacteristic, complemented
846#400C22×C7311yescharacteristic, complemented
847#400C22×C7311yescharacteristic, complemented
848#400C22×C7311yescharacteristic, complemented
849#399C22×C7311yescharacteristic
850#399C22×C7311yescharacteristic
851#399C22×C7311yescharacteristic
852#399C22×C7311yescharacteristic, complemented
853#399C22×C7311yescharacteristic, complemented
854#398C22×C7311yescharacteristic, complemented
855#398C22×C7311yescharacteristic, complemented
856#398C22×C7311yescharacteristic, complemented
857#398C22×C7311yescharacteristic, complemented
858#398C22×C7311yescharacteristic, complemented
859#398C22×C7311yescharacteristic, complemented
860#398C22×C7311yescharacteristic, complemented
861#397C22×C7311yescharacteristic
862#397C22×C7311yescharacteristic
863#397C22×C7311yescharacteristic
864#397C22×C7311yescharacteristic, complemented
865#397C22×C7311yescharacteristic, complemented
866#397C22×C7311yescharacteristic, complemented
867#396C22×C7311yescharacteristic
868#396C22×C7311yescharacteristic
869#396C22×C7311yescharacteristic
870#396C22×C7311yescharacteristic, complemented
871#396C22×C7311yescharacteristic, complemented
872#394C22×C7311yescharacteristic
873#394C22×C7311yescharacteristic
874#394C22×C7311yescharacteristic
875#394C22×C7311yescharacteristic
876#394C22×C7311yescharacteristic
877#394C22×C7311yescharacteristic
878#394C22×C7311yescharacteristic
879#394C22×C7311yescharacteristic
880#394C22×C7311yescharacteristic
881#394C22×C7311yescharacteristic
882#394C22×C7311yescharacteristic
883#394C22×C7311yescharacteristic
884#394C22×C7311yescharacteristic, complemented
885#394C22×C7311yescharacteristic, complemented
886#394C22×C7311yescharacteristic, complemented
887#394C22×C7311yescharacteristic, complemented
888#392C22×C7311yescharacteristic
889#392C22×C7311yescharacteristic
890#392C22×C7311yescharacteristic
891#392C22×C7311yescharacteristic, complemented
892#390C22×C7311yescharacteristic
893#390C22×C7311yescharacteristic
894#390C22×C7311yescharacteristic
895#390C22×C7311yescharacteristic
896#390C22×C7311yescharacteristic
897#390C22×C7311yescharacteristic
898#390C22×C7311yescharacteristic, complemented
899#390C22×C7311yescharacteristic, complemented
900#389C22×C7311yescharacteristic, complemented
901#389C22×C7311yescharacteristic, complemented
902#389C22×C7311yescharacteristic, complemented
903#389C22×C7311yescharacteristic, complemented
904#388C22×C7311yescharacteristic
905#388C22×C7311yescharacteristic
906#388C22×C7311yescharacteristic
907#388C22×C7311yescharacteristic
908#388C22×C7311yescharacteristic
909#388C22×C7311yescharacteristic
910#388C22×C7311yescharacteristic
911#388C22×C7311yescharacteristic, complemented
912#388C22×C7311yescharacteristic, complemented
913#388C22×C7311yescharacteristic, complemented
914#388C22×C7311yescharacteristic, complemented
915#388C22×C7311yescharacteristic, complemented
916#388C22×C7311yescharacteristic, complemented
917#388C22×C7311yescharacteristic, complemented
918#388C22×C7311yescharacteristic, complemented
919#388C22×C7311yescharacteristic, complemented
920#388C22×C7311yescharacteristic, complemented
921#387C22×C7311yescharacteristic, complemented
922#387C22×C7311yescharacteristic, complemented
923#387C22×C7311yescharacteristic, complemented
924#387C22×C7311yescharacteristic, complemented
925#387C22×C7311yescharacteristic, complemented
926#387C22×C7311yescharacteristic, complemented
927#387C22×C7311yescharacteristic, complemented
928#387C22×C7311yescharacteristic, complemented
929#387C22×C7311yescharacteristic, complemented
930#386C22×C7311yescharacteristic
931#386C22×C7311yescharacteristic
932#386C22×C7311yescharacteristic
933#386C22×C7311yescharacteristic
934#386C22×C7311yescharacteristic
935#386C22×C7311yescharacteristic
936#386C22×C7311yescharacteristic
937#386C22×C7311yescharacteristic
938#386C22×C7311yescharacteristic
939#386C22×C7311yescharacteristic
940#386C22×C7311yescharacteristic
941#386C22×C7311yescharacteristic
942#386C22×C7311yescharacteristic
943#386C22×C7311yescharacteristic
944#386C22×C7311yescharacteristic
945#386C22×C7311yescharacteristic, complemented
946#386C22×C7311yescharacteristic, complemented
947#385C22×C7311yescharacteristic
948#385C22×C7311yescharacteristic
949#385C22×C7311yescharacteristic
950#385C22×C7311yescharacteristic
951#385C22×C7311yescharacteristic, complemented
952#385C22×C7311yescharacteristic, complemented
953#385C22×C7311yescharacteristic, complemented
954#385C22×C7311yescharacteristic, complemented
955#385C22×C7311yescharacteristic, complemented
956#382C22×C7311yescharacteristic, complemented
957#381C22×C7311yescharacteristic
958#381C22×C7311yescharacteristic
959#381C22×C7311yescharacteristic
960#381C22×C7311yescharacteristic
961#381C22×C7311yescharacteristic, complemented
962#380C22×C7311yescharacteristic
963#380C22×C7311yescharacteristic
964#380C22×C7311yescharacteristic
965#380C22×C7311yescharacteristic
966#380C22×C7311yescharacteristic
967#380C22×C7311yescharacteristic
968#380C22×C7311yescharacteristic
969#379C22×C7311yescharacteristic
970#379C22×C7311yescharacteristic
971#379C22×C7311yescharacteristic
972C4×C4⋊C4C22×C7311yescharacteristic, complemented
973C4×C22⋊C4C22×C7311yescharacteristic
974C4×C22⋊C4C22×C7311yescharacteristic
975C4×C22⋊C4C22×C7311yescharacteristic
976C4×C22⋊C4C22×C7311yescharacteristic
977C4×C22⋊C4C22×C7311yescharacteristic, complemented
978C4×C22⋊C4C22×C7311yescharacteristic, complemented
979C4×C22⋊C4C22×C7311yescharacteristic, complemented
980C25C23×C7311yescharacteristic
981C22×D4C23×C7311yescharacteristic
982C22×D4C23×C7311yescharacteristic
983C22×D4C23×C7311yescharacteristic
984C22×D4C23×C7311yescharacteristic
985C22×D4C23×C7311yescharacteristic
986C22×D4C23×C7311yescharacteristic
987C22×D4C23×C7311yescharacteristic
988C22×D4C23×C7311yescharacteristic
989C22×D4C23×C7311yescharacteristic
990C22×D4C23×C7311yescharacteristic
991C22×D4C23×C7311yescharacteristic
992C22×D4C23×C7311yescharacteristic
993C23×C4—24no—
994C23×C4—42no—
995C23×C4—42no—
996C23×C4C23×C7311yescharacteristic
997C23×C4C23×C7311yescharacteristic
998C23×C4C23×C7311yescharacteristic
999C23×C4C23×C7311yescharacteristic
1000C23×C4C23×C7311yescharacteristic
1001C23×C4C23×C7311yescharacteristic
1002C23×C4C23×C7311yescharacteristic
1003C23×C4C23×C7311yescharacteristic
1004C23×C4C23×C7311yescharacteristic
1005#126—42no—
1006#126—42no—
1007#126—42no—
1008#123—24no—
1009#123—42no—
1010#123—42no—
1011#123—42no—
1012#121—24no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017#121—42no—
1018#120—42no—
1019#120—42no—
1020#120—42no—
1021#117—42no—
1022#117—42no—
1023C2×C4⋊C4C23×C7311yescharacteristic
1024C2×C4⋊C4C23×C7311yescharacteristic
1025C2×C4⋊C4C23×C7311yescharacteristic
1026C2×C4⋊C4C23×C7311yescharacteristic
1027C2×C4⋊C4C23×C7311yescharacteristic
1028C2×C4⋊C4C23×C7311yescharacteristic
1029C2×C4⋊C4C23×C7311yescharacteristic
1030C2×C4⋊C4C23×C7311yescharacteristic
1031C2×C4⋊C4C23×C7311yescharacteristic
1032C2×C4⋊C4C23×C7311yescharacteristic
1033C2×C4⋊C4C23×C7311yescharacteristic
1034C2×C4⋊C4C23×C7311yescharacteristic
1035C2×C4⋊C4C23×C7311yescharacteristic
1036C2×C4⋊C4C23×C7311yescharacteristic
1037C2×C4⋊C4C23×C7311yescharacteristic
1038C2×C4⋊C4C23×C7311yescharacteristic
1039C2×C4⋊C4C23×C7311yescharacteristic
1040C2×C4⋊C4C23×C7311yescharacteristic
1041C2×C4⋊C4C23×C7311yescharacteristic
1042C2×C4⋊C4C23×C7311yescharacteristic
1043C2×C4⋊C4C23×C7311yescharacteristic
1044C2×C4⋊C4C23×C7311yescharacteristic
1045C2×C4⋊C4C23×C7311yescharacteristic
1046C2×C4⋊C4C23×C7311yescharacteristic
1047C2×C4⋊C4C23×C7311yescharacteristic
1048C2×C4⋊C4C23×C7311yescharacteristic
1049C2×C4⋊C4C23×C7311yescharacteristic
1050C2×C4⋊C4C23×C7311yescharacteristic
1051C2×C4⋊C4C23×C7311yescharacteristic
1052C2×C4⋊C4C23×C7311yescharacteristic
1053C2×C22⋊C4C23×C7311yescharacteristic
1054C2×C22⋊C4C23×C7311yescharacteristic
1055C2×C22⋊C4C23×C7311yescharacteristic
1056C2×C22⋊C4C23×C7311yescharacteristic
1057C2×C22⋊C4C23×C7311yescharacteristic
1058C2×C22⋊C4C23×C7311yescharacteristic
1059C2×C22⋊C4C23×C7311yescharacteristic
1060C2×C22⋊C4C23×C7311yescharacteristic
1061C2×C22⋊C4C23×C7311yescharacteristic
1062C2×C22⋊C4C23×C7311yescharacteristic
1063C2×C22⋊C4C23×C7311yescharacteristic
1064C2×C22⋊C4C23×C7311yescharacteristic
1065C2×C22⋊C4C23×C7311yescharacteristic
1066C2×C22⋊C4C23×C7311yescharacteristic
1067C2×C22⋊C4C23×C7311yescharacteristic
1068C2×C22⋊C4C23×C7311yescharacteristic
1069C2×C22⋊C4C23×C7311yescharacteristic
1070C2×C22⋊C4C23×C7311yescharacteristic
1071C2×C22⋊C4C23×C7311yescharacteristic
1072C2×C22⋊C4C23×C7311yescharacteristic
1073C2×C22⋊C4C23×C7311yescharacteristic
1074C2×C22⋊C4C23×C7311yescharacteristic
1075C2×C22⋊C4C23×C7311yescharacteristic
1076C2×C22⋊C4C23×C7311yescharacteristic
1077C2×C22⋊C4C23×C7311yescharacteristic
1078C2×C22⋊C4C23×C7311yescharacteristic
1079C2×C22⋊C4C23×C7311yescharacteristic
1080C2×C22⋊C4C23×C7311yescharacteristic
1081C2×C22⋊C4C23×C7311yescharacteristic
1082C2×C22⋊C4C23×C7311yescharacteristic
1083C2×C22⋊C4C23×C7311yescharacteristic
1084C2×C22⋊C4C23×C7311yescharacteristic
1085C2×C22⋊C4C23×C7311yescharacteristic
1086C2×C22⋊C4C23×C7311yescharacteristic
1087C2×C22⋊C4C23×C7311yescharacteristic
1088C2×C22⋊C4C23×C7311yescharacteristic
1089C2×C22⋊C4C23×C7311yescharacteristic
1090C2×C22⋊C4C23×C7311yescharacteristic
1091C2×C22⋊C4C23×C7311yescharacteristic
1092C2×C22⋊C4C23×C7311yescharacteristic
1093C2×C22⋊C4C23×C7311yescharacteristic
1094C2×C22⋊C4C23×C7311yescharacteristic
1095C2×C22⋊C4C23×C7311yescharacteristic
1096C2×C22⋊C4C23×C7311yescharacteristic
1097C2×C22⋊C4C23×C7311yescharacteristic
1098C2×C22⋊C4C23×C7311yescharacteristic
1099C2×C22⋊C4C23×C7311yescharacteristic
1100C2×C22⋊C4C23×C7311yescharacteristic
1101C2×C22⋊C4C23×C7311yescharacteristic
1102C2×C22⋊C4C23×C7311yescharacteristic
1103C2×C22⋊C4C23×C7311yescharacteristic
1104C2×C22⋊C4C23×C7311yescharacteristic
1105C2×C22⋊C4C23×C7311yescharacteristic
1106C2×C22⋊C4C23×C7311yescharacteristic
1107C2×C42C23×C7311yescharacteristic
1108C2×C42C23×C7311yescharacteristic
1109C2×C42C23×C7311yescharacteristic
1110C2×C42C23×C7311yescharacteristic
1111C2×C42C23×C7311yescharacteristic
1112C2×C42C23×C7311yescharacteristic
1113C2×C42C23×C7311yescharacteristic
1114C2×C42C23×C7311yescharacteristic
1115C2×C42C23×C7311yescharacteristic
1116#95C23×C7311yescharacteristic
1117#95C23×C7311yescharacteristic
1118#95C23×C7311yescharacteristic
1119#95C23×C7311yescharacteristic
1120#95C23×C7311yescharacteristic
1121#95C23×C7311yescharacteristic
1122#95C23×C7311yescharacteristic
1123#95C23×C7311yescharacteristic
1124#95C23×C7311yescharacteristic
1125#95C23×C7311yescharacteristic
1126#95C23×C7311yescharacteristic
1127#95C23×C7311yescharacteristic
1128#95C23×C7311yescharacteristic
1129#95C23×C7311yescharacteristic
1130#95C23×C7311yescharacteristic
1131#95C23×C7311yescharacteristic
1132#95C23×C7311yescharacteristic
1133#95C23×C7311yescharacteristic
1134#95C23×C7311yescharacteristic
1135#95C23×C7311yescharacteristic
1136#95C23×C7311yescharacteristic
1137#95C23×C7311yescharacteristic
1138#95C23×C7311yescharacteristic
1139#95C23×C7311yescharacteristic
1140#95C23×C7311yescharacteristic
1141#95C23×C7311yescharacteristic
1142#95C23×C7311yescharacteristic
1143#95C23×C7311yescharacteristic
1144#95C23×C7311yescharacteristic
1145#95C23×C7311yescharacteristic
1146#95C23×C7311yescharacteristic
1147#95C23×C7311yescharacteristic
1148#95C23×C7311yescharacteristic
1149#95C23×C7311yescharacteristic
1150#95C23×C7311yescharacteristic
1151#95C23×C7311yescharacteristic
1152#95C23×C7311yescharacteristic
1153#95C23×C7311yescharacteristic
1154#95C23×C7311yescharacteristic
1155#95C23×C7311yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24C24×C7311yescharacteristic
1164C24C24×C7311yescharacteristic
1165C24C24×C7311yescharacteristic
1166C24C24×C7311yescharacteristic
1167C24C24×C7311yescharacteristic
1168C24C24×C7311yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—416no—
1232C22×C4#41×C7314yes—
1233C22×C4C24×C7311yescharacteristic
1234C22×C4C24×C7311yescharacteristic
1235C22×C4C24×C7311yescharacteristic
1236C22×C4C24×C7311yescharacteristic
1237C22×C4C24×C7311yescharacteristic
1238C22×C4C24×C7311yescharacteristic
1239C22×C4C24×C7311yescharacteristic
1240C22×C4C24×C7311yescharacteristic
1241C22×C4C24×C7311yescharacteristic
1242C22×C4C24×C7311yescharacteristic
1243C22×C4C24×C7311yescharacteristic
1244C22×C4C24×C7311yescharacteristic
1245C22×C4C24×C7311yescharacteristic
1246C22×C4C24×C7311yescharacteristic
1247C22×C4C24×C7311yescharacteristic
1248C22×C4C24×C7311yescharacteristic
1249C22×C4C24×C7311yescharacteristic
1250C22×C4C24×C7311yescharacteristic
1251C22×C4C24×C7311yescharacteristic
1252C22×C4C24×C7311yescharacteristic
1253C22×C4C24×C7311yescharacteristic
1254C22×C4C24×C7311yescharacteristic
1255C22×C4C24×C7311yescharacteristic
1256C22×C4C24×C7311yescharacteristic
1257C22×C4C24×C7311yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23C2×#41×C7312yes—
1398C23H(5,𝔽2)×C7312yes—
1399C23H(5,𝔽2)×C7312yes—
1400C23C25×C7311yescharacteristic
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413C2×C4—28no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4C2×#41×C7312yes—
1495C2×C4C2×#41×C7312yes—
1496C2×C4H(5,𝔽2)×C7312yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—416no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22C22×#41×C7311yescharacteristic
1541C22C2×H(5,𝔽2)×C7311yescharacteristic
1542C22C2×H(5,𝔽2)×C7311yescharacteristic
1543C22C2×H(5,𝔽2)×C7311yescharacteristic
1544C22#585×C7311yescharacteristic
1545C22#585×C7311yescharacteristic
1546C22#585×C7311yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—81no—
1578C2C73×#345511yescharacteristic
1579C2C73×#349011yescharacteristic
1580C2C73×#349411yescharacteristic
1581C2C73×#353311yescharacteristic
1582C2C73×#353411yescharacteristic
1583C2C73×#353911yescharacteristic
1584C2C73×#354211yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2849C2semidirect
2. C73×#2847C2semidirect
3. C73×#2746C2semidirect
4. C73×#2746C2semidirect
5. C73×#2744C2semidirect
6. C73×#2743C2semidirect
7. C73×#2741C2semidirect
8. C73×#2722C2semidirect
9. C73×#2706C2semidirect
10. C73×#2705C2semidirect
11. C73×#2701C2semidirect
12. C73×#2699C2semidirect
13. C73×#2691C2semidirect
14. C73×#2685C2semidirect
15. C73×#2685C2semidirect
16. C73×#2678C2semidirect
17. C73×#2671C2semidirect
18. C73×#2668C2semidirect
19. C73×#2667C2semidirect
20. C73×#2661C2semidirect
21. C73×#2595C2semidirect
22. C73×#2576C2semidirect
23. C73×#2559C2semidirect
24. C73×#2559C2semidirect
25. C73×#2479C2semidirect
26. C73×#2476C2semidirect
27. C73×#2471C2semidirect
28. C73×#2470C2semidirect
29. C73×#2335C2semidirect
30. C73×#2333C2semidirect
31. C73×#2280C2semidirect
35. C2×#126×C73C22semidirect
39. C2×#123×C73C22semidirect
51. #401×C73C22semidirect
52. #400×C73C22semidirect
53. #400×C73C22semidirect
54. #400×C73C22semidirect
55. #400×C73C22semidirect
59. #399×C73C22semidirect
60. #399×C73C22semidirect
61. #398×C73C22semidirect
62. #398×C73C22semidirect
63. #398×C73C22semidirect
64. #398×C73C22semidirect
65. #398×C73C22semidirect
66. #398×C73C22semidirect
67. #398×C73C22semidirect
71. #397×C73C22semidirect
72. #397×C73C22semidirect
73. #397×C73C22semidirect
77. #396×C73C22semidirect
78. #396×C73C22semidirect
91. #394×C73C22semidirect
92. #394×C73C22semidirect
93. #394×C73C22semidirect
94. #394×C73C22semidirect
98. #392×C73C22semidirect
105. #390×C73C22semidirect
106. #390×C73C22semidirect
107. #389×C73C22semidirect
108. #389×C73C22semidirect
109. #389×C73C22semidirect
110. #389×C73C22semidirect
118. #388×C73C22semidirect
119. #388×C73C22semidirect
120. #388×C73C22semidirect
121. #388×C73C22semidirect
122. #388×C73C22semidirect
123. #388×C73C22semidirect
124. #388×C73C22semidirect
125. #388×C73C22semidirect
126. #388×C73C22semidirect
127. #388×C73C22semidirect
128. #387×C73C22semidirect
129. #387×C73C22semidirect
130. #387×C73C22semidirect
131. #387×C73C22semidirect
132. #387×C73C22semidirect
133. #387×C73C22semidirect
134. #387×C73C22semidirect
135. #387×C73C22semidirect
136. #387×C73C22semidirect
152. #386×C73C22semidirect
153. #386×C73C22semidirect
158. #385×C73C22semidirect
159. #385×C73C22semidirect
160. #385×C73C22semidirect
161. #385×C73C22semidirect
162. #385×C73C22semidirect
163. #382×C73C22semidirect
168. #381×C73C22semidirect
179. C4×C4⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
779. #36734C73direct (N × H)
793. #2849C2×C73semidirect
794. #2847C2×C73semidirect
795. #2746C2×C73semidirect
796. #2746C2×C73semidirect
797. #2744C2×C73semidirect
798. #2743C2×C73semidirect
799. #2741C2×C73semidirect
800. #2722C2×C73semidirect
801. #2706C2×C73semidirect
802. #2705C2×C73semidirect
803. #2701C2×C73semidirect
804. #2699C2×C73semidirect
805. #2691C2×C73semidirect
806. #2685C2×C73semidirect
807. #2685C2×C73semidirect
808. #2678C2×C73semidirect
809. #2671C2×C73semidirect
810. #2668C2×C73semidirect
811. #2667C2×C73semidirect
812. #2661C2×C73semidirect
813. #2595C2×C73semidirect
814. #2576C2×C73semidirect
815. #2559C2×C73semidirect
816. #2559C2×C73semidirect
817. #2479C2×C73semidirect
818. #2476C2×C73semidirect
819. #2471C2×C73semidirect
820. #2470C2×C73semidirect
821. #2335C2×C73semidirect
822. #2333C2×C73semidirect
823. #2280C2×C73semidirect
824. C73#36734direct (N × H)
828. C2×#126C22×C73semidirect
832. C2×#123C22×C73semidirect
844. #401C22×C73semidirect
845. #400C22×C73semidirect
846. #400C22×C73semidirect
847. #400C22×C73semidirect
848. #400C22×C73semidirect
852. #399C22×C73semidirect
853. #399C22×C73semidirect
854. #398C22×C73semidirect
855. #398C22×C73semidirect
856. #398C22×C73semidirect
857. #398C22×C73semidirect
858. #398C22×C73semidirect
859. #398C22×C73semidirect
860. #398C22×C73semidirect
864. #397C22×C73semidirect
865. #397C22×C73semidirect
866. #397C22×C73semidirect
870. #396C22×C73semidirect
871. #396C22×C73semidirect
884. #394C22×C73semidirect
885. #394C22×C73semidirect
886. #394C22×C73semidirect
887. #394C22×C73semidirect
891. #392C22×C73semidirect
898. #390C22×C73semidirect
899. #390C22×C73semidirect
900. #389C22×C73semidirect
901. #389C22×C73semidirect
902. #389C22×C73semidirect
903. #389C22×C73semidirect
911. #388C22×C73semidirect
912. #388C22×C73semidirect
913. #388C22×C73semidirect
914. #388C22×C73semidirect
915. #388C22×C73semidirect
916. #388C22×C73semidirect
917. #388C22×C73semidirect
918. #388C22×C73semidirect
919. #388C22×C73semidirect
920. #388C22×C73semidirect
921. #387C22×C73semidirect
922. #387C22×C73semidirect
923. #387C22×C73semidirect
924. #387C22×C73semidirect
925. #387C22×C73semidirect
926. #387C22×C73semidirect
927. #387C22×C73semidirect
928. #387C22×C73semidirect
929. #387C22×C73semidirect
945. #386C22×C73semidirect
946. #386C22×C73semidirect
951. #385C22×C73semidirect
952. #385C22×C73semidirect
953. #385C22×C73semidirect
954. #385C22×C73semidirect
955. #385C22×C73semidirect
956. #382C22×C73semidirect
961. #381C22×C73semidirect
972. C4×C4⋊C4C22×C73semidirect
977. C4×C22⋊C4C22×C73semidirect
978. C4×C22⋊C4C22×C73semidirect
979. 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×#28492
C73×#28472
C73×#27462
C73×#27442
C73×#27432
C73×#27412
C73×#27222
C73×#27062
C73×#27052
C73×#27012
C73×#26992
C73×#26912
C73×#26852
C73×#26782
C73×#26712
C73×#26682
C73×#26672
C73×#26612
C73×#25952
C73×#25762
C73×#25592
C73×#24792
C73×#24762
C73×#24712
C73×#24702
C73×#23352
C73×#23332
C73×#22802
#3673473