Finite Group Databasebeta

← C73×#36856 #32946260

Subgroups — C73×#36856 #32946260

Order 18688.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 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×#2797C211yesmaximal, characteristic, complemented
4C73×#2782C211yesmaximal, characteristic, complemented
5C73×#2780C211yesmaximal, characteristic, complemented
6C73×#2750C211yesmaximal, characteristic, complemented
7C73×#2744C211yesmaximal, characteristic, complemented
8C73×#2708C211yesmaximal, characteristic, complemented
9C73×#2697C211yesmaximal, characteristic, complemented
10C73×#2693C211yesmaximal, characteristic, complemented
11C73×#2693C211yesmaximal, characteristic, complemented
12C73×#2688C211yesmaximal, characteristic, complemented
13C73×#2688C211yesmaximal, characteristic, complemented
14C73×#2682C211yesmaximal, characteristic, complemented
15C73×#2678C211yesmaximal, characteristic, complemented
16C73×#2673C211yesmaximal, characteristic, complemented
17C73×#2669C211yesmaximal, characteristic, complemented
18C73×#2668C211yesmaximal, characteristic, complemented
19C73×#2649C211yesmaximal, characteristic, complemented
20C73×#2648C211yesmaximal, characteristic, complemented
21C73×#2530C211yesmaximal, characteristic, complemented
22C73×#2526C211yesmaximal, characteristic, complemented
23C73×#2464C211yesmaximal, characteristic, complemented
24C73×#2457C211yesmaximal, characteristic, complemented
25C73×#2456C211yesmaximal, characteristic, complemented
26C73×#2456C211yesmaximal, characteristic, complemented
27C73×#2444C211yesmaximal, characteristic, complemented
28C73×#2425C211yesmaximal, characteristic, complemented
29C73×#2328C211yesmaximal, characteristic, complemented
30C73×#2325C211yesmaximal, characteristic, complemented
31C4×#120×C73C211yesmaximal, characteristic, complemented
32C24×C4×C73C2211yescharacteristic
33C2×#127×C73C2211yescharacteristic
34C2×#123×C73C2211yescharacteristic
35C2×#123×C73C2211yescharacteristic
36C2×#123×C73C2211yescharacteristic
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic, complemented
39C2×#123×C73C2211yescharacteristic, complemented
40C2×#121×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×#121×C73C2211yescharacteristic
44C2×#121×C73C2211yescharacteristic
45C2×#121×C73C2211yescharacteristic
46C2×#121×C73C2211yescharacteristic
47C2×#121×C73C2211yescharacteristic
48C2×#120×C73C2211yescharacteristic
49C2×#120×C73C2211yescharacteristic
50C2×#120×C73C2211yescharacteristic
51C2×#120×C73C2211yescharacteristic
52C2×C4×D4×C73C2211yescharacteristic
53C2×C4×D4×C73C2211yescharacteristic
54C2×C4×D4×C73C2211yescharacteristic
55C2×C4×D4×C73C2211yescharacteristic, complemented
56C2×C4×D4×C73C2211yescharacteristic, complemented
57#400×C73C2211yescharacteristic, complemented
58#400×C73C2211yescharacteristic, complemented
59#400×C73C2211yescharacteristic, complemented
60#400×C73C2211yescharacteristic, complemented
61#400×C73C2211yescharacteristic, complemented
62#400×C73C2211yescharacteristic, complemented
63#400×C73C2211yescharacteristic, complemented
64#400×C73C2211yescharacteristic, complemented
65#399×C73C2211yescharacteristic
66#398×C73C2211yescharacteristic, complemented
67#398×C73C2211yescharacteristic, complemented
68#397×C73C2211yescharacteristic
69#397×C73C2211yescharacteristic
70#397×C73C2211yescharacteristic
71#397×C73C2211yescharacteristic
72#397×C73C2211yescharacteristic
73#397×C73C2211yescharacteristic, complemented
74#397×C73C2211yescharacteristic, complemented
75#397×C73C2211yescharacteristic, complemented
76#397×C73C2211yescharacteristic, complemented
77#397×C73C2211yescharacteristic, complemented
78#396×C73C2211yescharacteristic
79#396×C73C2211yescharacteristic
80#396×C73C2211yescharacteristic
81#396×C73C2211yescharacteristic, complemented
82#396×C73C2211yescharacteristic, complemented
83#396×C73C2211yescharacteristic, complemented
84#396×C73C2211yescharacteristic, complemented
85#394×C73C2211yescharacteristic
86#394×C73C2211yescharacteristic
87#394×C73C2211yescharacteristic
88#394×C73C2211yescharacteristic
89#394×C73C2211yescharacteristic
90#394×C73C2211yescharacteristic
91#394×C73C2211yescharacteristic
92#394×C73C2211yescharacteristic
93#394×C73C2211yescharacteristic, complemented
94#394×C73C2211yescharacteristic, complemented
95#392×C73C2211yescharacteristic
96#392×C73C2211yescharacteristic
97#392×C73C2211yescharacteristic
98#392×C73C2211yescharacteristic
99#392×C73C2211yescharacteristic
100#392×C73C2211yescharacteristic
101#392×C73C2211yescharacteristic
102#392×C73C2211yescharacteristic, complemented
103#392×C73C2211yescharacteristic, complemented
104#392×C73C2211yescharacteristic, complemented
105#390×C73C2211yescharacteristic
106#390×C73C2211yescharacteristic
107#390×C73C2211yescharacteristic
108#390×C73C2211yescharacteristic, complemented
109#390×C73C2211yescharacteristic, complemented
110#389×C73C2211yescharacteristic, complemented
111#389×C73C2211yescharacteristic, complemented
112#388×C73C2211yescharacteristic
113#388×C73C2211yescharacteristic
114#388×C73C2211yescharacteristic
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic, complemented
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#387×C73C2211yescharacteristic, complemented
125#387×C73C2211yescharacteristic, complemented
126#387×C73C2211yescharacteristic, complemented
127#387×C73C2211yescharacteristic, complemented
128#387×C73C2211yescharacteristic, complemented
129#387×C73C2211yescharacteristic, complemented
130#387×C73C2211yescharacteristic, complemented
131#386×C73C2211yescharacteristic
132#386×C73C2211yescharacteristic
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#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#386×C73C2211yescharacteristic, complemented
155#386×C73C2211yescharacteristic, complemented
156#386×C73C2211yescharacteristic, complemented
157#386×C73C2211yescharacteristic, complemented
158#386×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic
160#385×C73C2211yescharacteristic
161#385×C73C2211yescharacteristic
162#385×C73C2211yescharacteristic
163#385×C73C2211yescharacteristic
164#385×C73C2211yescharacteristic
165#385×C73C2211yescharacteristic
166#385×C73C2211yescharacteristic, complemented
167#385×C73C2211yescharacteristic, complemented
168#385×C73C2211yescharacteristic, complemented
169#385×C73C2211yescharacteristic, complemented
170#385×C73C2211yescharacteristic, complemented
171#382×C73C2211yescharacteristic, complemented
172#381×C73C2211yescharacteristic
173#381×C73C2211yescharacteristic
174#381×C73C2211yescharacteristic, complemented
175#380×C73C2211yescharacteristic
176#380×C73C2211yescharacteristic
177#380×C73C2211yescharacteristic
178#380×C73C2211yescharacteristic, complemented
179#380×C73C2211yescharacteristic, complemented
180#379×C73C2211yescharacteristic
181#379×C73C2211yescharacteristic
182C4×C22⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic
185#376×C73C2211yescharacteristic, complemented
186C2×#95×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
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C22×D4×C73C2311yescharacteristic
205C22×D4×C73C2311yescharacteristic
206C23×C4×C73—42no—
207C23×C4×C73—42no—
208C23×C4×C73—42no—
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212C23×C4×C73C2311yescharacteristic
213C23×C4×C73C2311yescharacteristic
214C23×C4×C73C2311yescharacteristic
215C23×C4×C73C2311yescharacteristic
216C23×C4×C73C2311yescharacteristic
217C23×C4×C73C2311yescharacteristic
218C23×C4×C73C2311yescharacteristic
219C23×C4×C73C2311yescharacteristic
220C23×C4×C73C2311yescharacteristic
221#127×C73—24no—
222#123×C73—42no—
223#123×C73—42no—
224#123×C73—42no—
225#123×C73—42no—
226#123×C73—42no—
227#123×C73—42no—
228#121×C73—24no—
229#121×C73—42no—
230#121×C73—42no—
231#121×C73—42no—
232#121×C73—42no—
233#121×C73—42no—
234#121×C73—42no—
235#121×C73—42no—
236#120×C73—24no—
237#120×C73—42no—
238#120×C73—42no—
239#120×C73—42no—
240C4×D4×C73—42no—
241C4×D4×C73—42no—
242C4×D4×C73—42no—
243C4×D4×C73—42no—
244C4×D4×C73—42no—
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×C4⋊C4×C73C2311yescharacteristic
261C2×C4⋊C4×C73C2311yescharacteristic
262C2×C4⋊C4×C73C2311yescharacteristic
263C2×C4⋊C4×C73C2311yescharacteristic
264C2×C4⋊C4×C73C2311yescharacteristic
265C2×C4⋊C4×C73C2311yescharacteristic
266C2×C4⋊C4×C73C2311yescharacteristic
267C2×C4⋊C4×C73C2311yescharacteristic
268C2×C4⋊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×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×C42×C73C2311yescharacteristic
324C2×C42×C73C2311yescharacteristic
325C2×C42×C73C2311yescharacteristic
326C2×C42×C73C2311yescharacteristic
327C2×C42×C73C2311yescharacteristic
328C2×C42×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
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369C24×C73—22no—
370C24×C73—22no—
371C24×C73—22no—
372C24×C73—41no—
373C24×C73—41no—
374C24×C73—41no—
375C24×C73—41no—
376C24×C73C2411yescharacteristic
377C24×C73C2411yescharacteristic
378C24×C73C2411yescharacteristic
379C24×C73C2411yescharacteristic
380C24×C73C2411yescharacteristic
381C24×C73C2411yescharacteristic
382C24×C73C2411yescharacteristic
383C2×D4×C73—22no—
384C2×D4×C73—22no—
385C2×D4×C73—22no—
386C2×D4×C73—22no—
387C2×D4×C73—22no—
388C2×D4×C73—22no—
389C2×D4×C73—22no—
390C2×D4×C73—22no—
391C2×D4×C73—22no—
392C2×D4×C73—22no—
393C2×D4×C73—22no—
394C2×D4×C73—22no—
395C2×D4×C73—22no—
396C2×D4×C73—22no—
397C2×D4×C73—22no—
398C2×D4×C73—22no—
399C2×D4×C73—22no—
400C2×D4×C73—22no—
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—
412C2×D4×C73—41no—
413C2×D4×C73—41no—
414C2×D4×C73—41no—
415C2×D4×C73—41no—
416C2×D4×C73—41no—
417C2×D4×C73—41no—
418C2×D4×C73—41no—
419C2×D4×C73—41no—
420C2×D4×C73—41no—
421C2×D4×C73—41no—
422C2×D4×C73—41no—
423C2×D4×C73—41no—
424C2×D4×C73—41no—
425C2×D4×C73—41no—
426C2×D4×C73—41no—
427C2×D4×C73—41no—
428C2×D4×C73—41no—
429C2×D4×C73—41no—
430C2×D4×C73—41no—
431C2×D4×C73—41no—
432C2×D4×C73—41no—
433C2×D4×C73—41no—
434C2×D4×C73—41no—
435C2×D4×C73—41no—
436C2×D4×C73#4114yes—
437C22×C4×C73—22no—
438C22×C4×C73—22no—
439C22×C4×C73—22no—
440C22×C4×C73—22no—
441C22×C4×C73—22no—
442C22×C4×C73—22no—
443C22×C4×C73—22no—
444C22×C4×C73—22no—
445C22×C4×C73—22no—
446C22×C4×C73—22no—
447C22×C4×C73—41no—
448C22×C4×C73—41no—
449C22×C4×C73—41no—
450C22×C4×C73—41no—
451C22×C4×C73—41no—
452C22×C4×C73—41no—
453C22×C4×C73—41no—
454C22×C4×C73—41no—
455C22×C4×C73—41no—
456C22×C4×C73—41no—
457C22×C4×C73—41no—
458C22×C4×C73—41no—
459C22×C4×C73—41no—
460C22×C4×C73—41no—
461C22×C4×C73—41no—
462C22×C4×C73—41no—
463C22×C4×C73—41no—
464C22×C4×C73—41no—
465C22×C4×C73—41no—
466C22×C4×C73—41no—
467C22×C4×C73—41no—
468C22×C4×C73—41no—
469C22×C4×C73—41no—
470C22×C4×C73—41no—
471C22×C4×C73—41no—
472C22×C4×C73—41no—
473C22×C4×C73—416no—
474C22×C4×C73C2411yescharacteristic
475C22×C4×C73C2411yescharacteristic
476C22×C4×C73C2411yescharacteristic
477C22×C4×C73C2411yescharacteristic
478C22×C4×C73C2411yescharacteristic
479C22×C4×C73C2411yescharacteristic
480C22×C4×C73C2411yescharacteristic
481C22×C4×C73C2411yescharacteristic
482C22×C4×C73C2411yescharacteristic
483C22×C4×C73C2411yescharacteristic
484C22×C4×C73C2411yescharacteristic
485C22×C4×C73C2411yescharacteristic
486C22×C4×C73C2411yescharacteristic
487C22×C4×C73C2411yescharacteristic
488C22×C4×C73C2411yescharacteristic
489C22×C4×C73C2411yescharacteristic
490C22×C4×C73C2411yescharacteristic
491C22×C4×C73C2411yescharacteristic
492C22×C4×C73C2411yescharacteristic
493C22×C4×C73C2411yescharacteristic
494C22×C4×C73C2411yescharacteristic
495C22×C4×C73C2411yescharacteristic
496C22×C4×C73C2411yescharacteristic
497C22×C4×C73C2411yescharacteristic
498C4⋊C4×C73—22no—
499C4⋊C4×C73—22no—
500C4⋊C4×C73—22no—
501C4⋊C4×C73—22no—
502C4⋊C4×C73—22no—
503C4⋊C4×C73—41no—
504C4⋊C4×C73—41no—
505C4⋊C4×C73—41no—
506C4⋊C4×C73—41no—
507C4⋊C4×C73—41no—
508C4⋊C4×C73—41no—
509C4⋊C4×C73—41no—
510C4⋊C4×C73—41no—
511C4⋊C4×C73—41no—
512C4⋊C4×C73—41no—
513C4⋊C4×C73—41no—
514C4⋊C4×C73—41no—
515C4⋊C4×C73—41no—
516C4⋊C4×C73—41no—
517C4⋊C4×C73—41no—
518C4⋊C4×C73—41no—
519C4⋊C4×C73—41no—
520C4⋊C4×C73—41no—
521C4⋊C4×C73—41no—
522C22⋊C4×C73—22no—
523C22⋊C4×C73—22no—
524C22⋊C4×C73—22no—
525C22⋊C4×C73—22no—
526C22⋊C4×C73—22no—
527C22⋊C4×C73—22no—
528C22⋊C4×C73—22no—
529C22⋊C4×C73—22no—
530C22⋊C4×C73—22no—
531C22⋊C4×C73—22no—
532C22⋊C4×C73—22no—
533C22⋊C4×C73—22no—
534C22⋊C4×C73—22no—
535C22⋊C4×C73—22no—
536C22⋊C4×C73—22no—
537C22⋊C4×C73—22no—
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—
549C22⋊C4×C73—41no—
550C22⋊C4×C73—41no—
551C22⋊C4×C73—41no—
552C22⋊C4×C73—41no—
553C22⋊C4×C73—41no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73—41no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C22⋊C4×C73—41no—
562C22⋊C4×C73—41no—
563C22⋊C4×C73—41no—
564C22⋊C4×C73—41no—
565C22⋊C4×C73—41no—
566C22⋊C4×C73—41no—
567C22⋊C4×C73—41no—
568C22⋊C4×C73—41no—
569C22⋊C4×C73—41no—
570C22⋊C4×C73—41no—
571C22⋊C4×C73—41no—
572C22⋊C4×C73—41no—
573C22⋊C4×C73—41no—
574C22⋊C4×C73—41no—
575C22⋊C4×C73—41no—
576C42×C73—22no—
577C42×C73—22no—
578C42×C73—41no—
579C42×C73—41no—
580C42×C73—41no—
581C42×C73—41no—
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—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—44no—
628C23×C73—44no—
629C23×C73—44no—
630C23×C73—44no—
631C23×C73—44no—
632C23×C73—44no—
633C23×C73—44no—
634C23×C73C2×#4112yes—
635C23×C73C2×#4112yes—
636C23×C73H(5,𝔽2)12yes—
637C23×C73H(5,𝔽2)12yes—
638C23×C73C2511yescharacteristic
639D4×C73—44no—
640D4×C73—44no—
641D4×C73—44no—
642D4×C73—44no—
643D4×C73—44no—
644D4×C73—82no—
645D4×C73—82no—
646D4×C73—82no—
647D4×C73—82no—
648D4×C73—82no—
649D4×C73—82no—
650D4×C73—82no—
651D4×C73—82no—
652D4×C73—82no—
653D4×C73—82no—
654D4×C73—82no—
655D4×C73—82no—
656D4×C73—82no—
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—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—44no—
727C2×C4×C73—44no—
728C2×C4×C73—44no—
729C2×C4×C73—44no—
730C2×C4×C73—44no—
731C2×C4×C73—44no—
732C2×C4×C73—82no—
733C2×C4×C73—82no—
734C2×C4×C73—82no—
735C2×C4×C73—82no—
736C2×C4×C73—82no—
737C2×C4×C73—82no—
738C2×C4×C73C2×#4112yes—
739C2×C4×C73H(5,𝔽2)12yes—
740C2×C4×C73H(5,𝔽2)12yes—
741C22×C73—22no—
742C22×C73—22no—
743C22×C73—22no—
744C22×C73—22no—
745C22×C73—22no—
746C22×C73—22no—
747C22×C73—22no—
748C22×C73—22no—
749C22×C73—22no—
750C22×C73—22no—
751C22×C73—22no—
752C22×C73—22no—
753C22×C73—416no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—41no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73—41no—
775C22×C73—41no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73C22×#4111yescharacteristic
792C22×C73C2×H(5,𝔽2)11yescharacteristic
793C22×C73C2×H(5,𝔽2)11yescharacteristic
794C22×C73C2×H(5,𝔽2)11yescharacteristic
795C22×C73C2×H(5,𝔽2)11yescharacteristic
796C22×C73#58511yescharacteristic
797C22×C73#58511yescharacteristic
798C4×C73—22no—
799C4×C73—22no—
800C4×C73—22no—
801C4×C73—41no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822#36856C7311yesmaximal, characteristic, direct product factor, Sylow
823C2×C73—42no—
824C2×C73—42no—
825C2×C73—42no—
826C2×C73—42no—
827C2×C73—81no—
828C2×C73—81no—
829C2×C73—81no—
830C2×C73#345911yescharacteristic
831C2×C73#351311yescharacteristic
832C2×C73#351911yescharacteristic
833C2×C73#353211yescharacteristic
834C2×C73#353411yescharacteristic
835C2×C73#353911yescharacteristic
836C2×C73#354211yescharacteristic
837#2849C2×C7311yescharacteristic, complemented
838#2847C2×C7311yescharacteristic, complemented
839#2797C2×C7311yescharacteristic, complemented
840#2782C2×C7311yescharacteristic, complemented
841#2780C2×C7311yescharacteristic, complemented
842#2750C2×C7311yescharacteristic, complemented
843#2744C2×C7311yescharacteristic, complemented
844#2708C2×C7311yescharacteristic, complemented
845#2697C2×C7311yescharacteristic, complemented
846#2693C2×C7311yescharacteristic, complemented
847#2693C2×C7311yescharacteristic, complemented
848#2688C2×C7311yescharacteristic, complemented
849#2688C2×C7311yescharacteristic, complemented
850#2682C2×C7311yescharacteristic, complemented
851#2678C2×C7311yescharacteristic, complemented
852#2673C2×C7311yescharacteristic, complemented
853#2669C2×C7311yescharacteristic, complemented
854#2668C2×C7311yescharacteristic, complemented
855#2649C2×C7311yescharacteristic, complemented
856#2648C2×C7311yescharacteristic, complemented
857#2530C2×C7311yescharacteristic, complemented
858#2526C2×C7311yescharacteristic, complemented
859#2464C2×C7311yescharacteristic, complemented
860#2457C2×C7311yescharacteristic, complemented
861#2456C2×C7311yescharacteristic, complemented
862#2456C2×C7311yescharacteristic, complemented
863#2444C2×C7311yescharacteristic, complemented
864#2425C2×C7311yescharacteristic, complemented
865#2328C2×C7311yescharacteristic, complemented
866#2325C2×C7311yescharacteristic, complemented
867C4×#120C2×C7311yescharacteristic, complemented
868C73#3685611yescharacteristic, direct product factor, Sylow
869C24×C4C22×C7311yescharacteristic
870C2×#127C22×C7311yescharacteristic
871C2×#123C22×C7311yescharacteristic
872C2×#123C22×C7311yescharacteristic
873C2×#123C22×C7311yescharacteristic
874C2×#123C22×C7311yescharacteristic
875C2×#123C22×C7311yescharacteristic, complemented
876C2×#123C22×C7311yescharacteristic, complemented
877C2×#121C22×C7311yescharacteristic
878C2×#121C22×C7311yescharacteristic
879C2×#121C22×C7311yescharacteristic
880C2×#121C22×C7311yescharacteristic
881C2×#121C22×C7311yescharacteristic
882C2×#121C22×C7311yescharacteristic
883C2×#121C22×C7311yescharacteristic
884C2×#121C22×C7311yescharacteristic
885C2×#120C22×C7311yescharacteristic
886C2×#120C22×C7311yescharacteristic
887C2×#120C22×C7311yescharacteristic
888C2×#120C22×C7311yescharacteristic
889C2×C4×D4C22×C7311yescharacteristic
890C2×C4×D4C22×C7311yescharacteristic
891C2×C4×D4C22×C7311yescharacteristic
892C2×C4×D4C22×C7311yescharacteristic, complemented
893C2×C4×D4C22×C7311yescharacteristic, complemented
894#400C22×C7311yescharacteristic, complemented
895#400C22×C7311yescharacteristic, complemented
896#400C22×C7311yescharacteristic, complemented
897#400C22×C7311yescharacteristic, complemented
898#400C22×C7311yescharacteristic, complemented
899#400C22×C7311yescharacteristic, complemented
900#400C22×C7311yescharacteristic, complemented
901#400C22×C7311yescharacteristic, complemented
902#399C22×C7311yescharacteristic
903#398C22×C7311yescharacteristic, complemented
904#398C22×C7311yescharacteristic, complemented
905#397C22×C7311yescharacteristic
906#397C22×C7311yescharacteristic
907#397C22×C7311yescharacteristic
908#397C22×C7311yescharacteristic
909#397C22×C7311yescharacteristic
910#397C22×C7311yescharacteristic, complemented
911#397C22×C7311yescharacteristic, complemented
912#397C22×C7311yescharacteristic, complemented
913#397C22×C7311yescharacteristic, complemented
914#397C22×C7311yescharacteristic, complemented
915#396C22×C7311yescharacteristic
916#396C22×C7311yescharacteristic
917#396C22×C7311yescharacteristic
918#396C22×C7311yescharacteristic, complemented
919#396C22×C7311yescharacteristic, complemented
920#396C22×C7311yescharacteristic, complemented
921#396C22×C7311yescharacteristic, complemented
922#394C22×C7311yescharacteristic
923#394C22×C7311yescharacteristic
924#394C22×C7311yescharacteristic
925#394C22×C7311yescharacteristic
926#394C22×C7311yescharacteristic
927#394C22×C7311yescharacteristic
928#394C22×C7311yescharacteristic
929#394C22×C7311yescharacteristic
930#394C22×C7311yescharacteristic, complemented
931#394C22×C7311yescharacteristic, complemented
932#392C22×C7311yescharacteristic
933#392C22×C7311yescharacteristic
934#392C22×C7311yescharacteristic
935#392C22×C7311yescharacteristic
936#392C22×C7311yescharacteristic
937#392C22×C7311yescharacteristic
938#392C22×C7311yescharacteristic
939#392C22×C7311yescharacteristic, complemented
940#392C22×C7311yescharacteristic, complemented
941#392C22×C7311yescharacteristic, complemented
942#390C22×C7311yescharacteristic
943#390C22×C7311yescharacteristic
944#390C22×C7311yescharacteristic
945#390C22×C7311yescharacteristic, complemented
946#390C22×C7311yescharacteristic, complemented
947#389C22×C7311yescharacteristic, complemented
948#389C22×C7311yescharacteristic, complemented
949#388C22×C7311yescharacteristic
950#388C22×C7311yescharacteristic
951#388C22×C7311yescharacteristic
952#388C22×C7311yescharacteristic
953#388C22×C7311yescharacteristic
954#388C22×C7311yescharacteristic, complemented
955#388C22×C7311yescharacteristic, complemented
956#388C22×C7311yescharacteristic, complemented
957#388C22×C7311yescharacteristic, complemented
958#388C22×C7311yescharacteristic, complemented
959#388C22×C7311yescharacteristic, complemented
960#388C22×C7311yescharacteristic, complemented
961#387C22×C7311yescharacteristic, complemented
962#387C22×C7311yescharacteristic, complemented
963#387C22×C7311yescharacteristic, complemented
964#387C22×C7311yescharacteristic, complemented
965#387C22×C7311yescharacteristic, complemented
966#387C22×C7311yescharacteristic, complemented
967#387C22×C7311yescharacteristic, complemented
968#386C22×C7311yescharacteristic
969#386C22×C7311yescharacteristic
970#386C22×C7311yescharacteristic
971#386C22×C7311yescharacteristic
972#386C22×C7311yescharacteristic
973#386C22×C7311yescharacteristic
974#386C22×C7311yescharacteristic
975#386C22×C7311yescharacteristic
976#386C22×C7311yescharacteristic
977#386C22×C7311yescharacteristic
978#386C22×C7311yescharacteristic
979#386C22×C7311yescharacteristic
980#386C22×C7311yescharacteristic
981#386C22×C7311yescharacteristic
982#386C22×C7311yescharacteristic
983#386C22×C7311yescharacteristic
984#386C22×C7311yescharacteristic
985#386C22×C7311yescharacteristic
986#386C22×C7311yescharacteristic
987#386C22×C7311yescharacteristic
988#386C22×C7311yescharacteristic
989#386C22×C7311yescharacteristic, complemented
990#386C22×C7311yescharacteristic, complemented
991#386C22×C7311yescharacteristic, complemented
992#386C22×C7311yescharacteristic, complemented
993#386C22×C7311yescharacteristic, complemented
994#386C22×C7311yescharacteristic, complemented
995#386C22×C7311yescharacteristic, complemented
996#385C22×C7311yescharacteristic
997#385C22×C7311yescharacteristic
998#385C22×C7311yescharacteristic
999#385C22×C7311yescharacteristic
1000#385C22×C7311yescharacteristic
1001#385C22×C7311yescharacteristic
1002#385C22×C7311yescharacteristic
1003#385C22×C7311yescharacteristic, complemented
1004#385C22×C7311yescharacteristic, complemented
1005#385C22×C7311yescharacteristic, complemented
1006#385C22×C7311yescharacteristic, complemented
1007#385C22×C7311yescharacteristic, complemented
1008#382C22×C7311yescharacteristic, complemented
1009#381C22×C7311yescharacteristic
1010#381C22×C7311yescharacteristic
1011#381C22×C7311yescharacteristic, complemented
1012#380C22×C7311yescharacteristic
1013#380C22×C7311yescharacteristic
1014#380C22×C7311yescharacteristic
1015#380C22×C7311yescharacteristic, complemented
1016#380C22×C7311yescharacteristic, complemented
1017#379C22×C7311yescharacteristic
1018#379C22×C7311yescharacteristic
1019C4×C22⋊C4C22×C7311yescharacteristic
1020C4×C22⋊C4C22×C7311yescharacteristic
1021C4×C22⋊C4C22×C7311yescharacteristic
1022#376C22×C7311yescharacteristic, complemented
1023C2×#95C22×C7311yescharacteristic, complemented
1024C25C23×C7311yescharacteristic
1025C22×D4C23×C7311yescharacteristic
1026C22×D4C23×C7311yescharacteristic
1027C22×D4C23×C7311yescharacteristic
1028C22×D4C23×C7311yescharacteristic
1029C22×D4C23×C7311yescharacteristic
1030C22×D4C23×C7311yescharacteristic
1031C22×D4C23×C7311yescharacteristic
1032C22×D4C23×C7311yescharacteristic
1033C22×D4C23×C7311yescharacteristic
1034C22×D4C23×C7311yescharacteristic
1035C22×D4C23×C7311yescharacteristic
1036C22×D4C23×C7311yescharacteristic
1037C22×D4C23×C7311yescharacteristic
1038C22×D4C23×C7311yescharacteristic
1039C22×D4C23×C7311yescharacteristic
1040C22×D4C23×C7311yescharacteristic
1041C22×D4C23×C7311yescharacteristic
1042C22×D4C23×C7311yescharacteristic
1043C23×C4—42no—
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4C23×C7311yescharacteristic
1047C23×C4C23×C7311yescharacteristic
1048C23×C4C23×C7311yescharacteristic
1049C23×C4C23×C7311yescharacteristic
1050C23×C4C23×C7311yescharacteristic
1051C23×C4C23×C7311yescharacteristic
1052C23×C4C23×C7311yescharacteristic
1053C23×C4C23×C7311yescharacteristic
1054C23×C4C23×C7311yescharacteristic
1055C23×C4C23×C7311yescharacteristic
1056C23×C4C23×C7311yescharacteristic
1057C23×C4C23×C7311yescharacteristic
1058#127—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#123—42no—
1063#123—42no—
1064#123—42no—
1065#121—24no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#120—24no—
1074#120—42no—
1075#120—42no—
1076#120—42no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
1082C2×C4⋊C4C23×C7311yescharacteristic
1083C2×C4⋊C4C23×C7311yescharacteristic
1084C2×C4⋊C4C23×C7311yescharacteristic
1085C2×C4⋊C4C23×C7311yescharacteristic
1086C2×C4⋊C4C23×C7311yescharacteristic
1087C2×C4⋊C4C23×C7311yescharacteristic
1088C2×C4⋊C4C23×C7311yescharacteristic
1089C2×C4⋊C4C23×C7311yescharacteristic
1090C2×C4⋊C4C23×C7311yescharacteristic
1091C2×C4⋊C4C23×C7311yescharacteristic
1092C2×C4⋊C4C23×C7311yescharacteristic
1093C2×C4⋊C4C23×C7311yescharacteristic
1094C2×C4⋊C4C23×C7311yescharacteristic
1095C2×C4⋊C4C23×C7311yescharacteristic
1096C2×C4⋊C4C23×C7311yescharacteristic
1097C2×C4⋊C4C23×C7311yescharacteristic
1098C2×C4⋊C4C23×C7311yescharacteristic
1099C2×C4⋊C4C23×C7311yescharacteristic
1100C2×C4⋊C4C23×C7311yescharacteristic
1101C2×C4⋊C4C23×C7311yescharacteristic
1102C2×C4⋊C4C23×C7311yescharacteristic
1103C2×C4⋊C4C23×C7311yescharacteristic
1104C2×C4⋊C4C23×C7311yescharacteristic
1105C2×C4⋊C4C23×C7311yescharacteristic
1106C2×C22⋊C4C23×C7311yescharacteristic
1107C2×C22⋊C4C23×C7311yescharacteristic
1108C2×C22⋊C4C23×C7311yescharacteristic
1109C2×C22⋊C4C23×C7311yescharacteristic
1110C2×C22⋊C4C23×C7311yescharacteristic
1111C2×C22⋊C4C23×C7311yescharacteristic
1112C2×C22⋊C4C23×C7311yescharacteristic
1113C2×C22⋊C4C23×C7311yescharacteristic
1114C2×C22⋊C4C23×C7311yescharacteristic
1115C2×C22⋊C4C23×C7311yescharacteristic
1116C2×C22⋊C4C23×C7311yescharacteristic
1117C2×C22⋊C4C23×C7311yescharacteristic
1118C2×C22⋊C4C23×C7311yescharacteristic
1119C2×C22⋊C4C23×C7311yescharacteristic
1120C2×C22⋊C4C23×C7311yescharacteristic
1121C2×C22⋊C4C23×C7311yescharacteristic
1122C2×C22⋊C4C23×C7311yescharacteristic
1123C2×C22⋊C4C23×C7311yescharacteristic
1124C2×C22⋊C4C23×C7311yescharacteristic
1125C2×C22⋊C4C23×C7311yescharacteristic
1126C2×C22⋊C4C23×C7311yescharacteristic
1127C2×C22⋊C4C23×C7311yescharacteristic
1128C2×C22⋊C4C23×C7311yescharacteristic
1129C2×C22⋊C4C23×C7311yescharacteristic
1130C2×C22⋊C4C23×C7311yescharacteristic
1131C2×C22⋊C4C23×C7311yescharacteristic
1132C2×C22⋊C4C23×C7311yescharacteristic
1133C2×C22⋊C4C23×C7311yescharacteristic
1134C2×C22⋊C4C23×C7311yescharacteristic
1135C2×C22⋊C4C23×C7311yescharacteristic
1136C2×C22⋊C4C23×C7311yescharacteristic
1137C2×C22⋊C4C23×C7311yescharacteristic
1138C2×C22⋊C4C23×C7311yescharacteristic
1139C2×C22⋊C4C23×C7311yescharacteristic
1140C2×C22⋊C4C23×C7311yescharacteristic
1141C2×C22⋊C4C23×C7311yescharacteristic
1142C2×C22⋊C4C23×C7311yescharacteristic
1143C2×C22⋊C4C23×C7311yescharacteristic
1144C2×C22⋊C4C23×C7311yescharacteristic
1145C2×C22⋊C4C23×C7311yescharacteristic
1146C2×C22⋊C4C23×C7311yescharacteristic
1147C2×C22⋊C4C23×C7311yescharacteristic
1148C2×C22⋊C4C23×C7311yescharacteristic
1149C2×C22⋊C4C23×C7311yescharacteristic
1150C2×C22⋊C4C23×C7311yescharacteristic
1151C2×C22⋊C4C23×C7311yescharacteristic
1152C2×C22⋊C4C23×C7311yescharacteristic
1153C2×C22⋊C4C23×C7311yescharacteristic
1154C2×C22⋊C4C23×C7311yescharacteristic
1155C2×C22⋊C4C23×C7311yescharacteristic
1156C2×C22⋊C4C23×C7311yescharacteristic
1157C2×C22⋊C4C23×C7311yescharacteristic
1158C2×C22⋊C4C23×C7311yescharacteristic
1159C2×C22⋊C4C23×C7311yescharacteristic
1160C2×C42C23×C7311yescharacteristic
1161C2×C42C23×C7311yescharacteristic
1162C2×C42C23×C7311yescharacteristic
1163C2×C42C23×C7311yescharacteristic
1164C2×C42C23×C7311yescharacteristic
1165C2×C42C23×C7311yescharacteristic
1166#95C23×C7311yescharacteristic
1167#95C23×C7311yescharacteristic
1168#95C23×C7311yescharacteristic
1169#95C23×C7311yescharacteristic
1170#95C23×C7311yescharacteristic
1171#95C23×C7311yescharacteristic
1172#95C23×C7311yescharacteristic
1173#95C23×C7311yescharacteristic
1174#95C23×C7311yescharacteristic
1175#95C23×C7311yescharacteristic
1176#95C23×C7311yescharacteristic
1177#95C23×C7311yescharacteristic
1178#95C23×C7311yescharacteristic
1179#95C23×C7311yescharacteristic
1180#95C23×C7311yescharacteristic
1181#95C23×C7311yescharacteristic
1182#95C23×C7311yescharacteristic
1183#95C23×C7311yescharacteristic
1184#95C23×C7311yescharacteristic
1185#95C23×C7311yescharacteristic
1186#95C23×C7311yescharacteristic
1187#95C23×C7311yescharacteristic
1188#95C23×C7311yescharacteristic
1189#95C23×C7311yescharacteristic
1190#95C23×C7311yescharacteristic
1191#95C23×C7311yescharacteristic
1192#95C23×C7311yescharacteristic
1193#95C23×C7311yescharacteristic
1194#95C23×C7311yescharacteristic
1195#95C23×C7311yescharacteristic
1196#95C23×C7311yescharacteristic
1197#95C23×C7311yescharacteristic
1198#95C23×C7311yescharacteristic
1199#95C23×C7311yescharacteristic
1200#95C23×C7311yescharacteristic
1201#95C23×C7311yescharacteristic
1202#95C23×C7311yescharacteristic
1203#95C23×C7311yescharacteristic
1204#95C23×C7311yescharacteristic
1205#95C23×C7311yescharacteristic
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C7311yescharacteristic
1214C24C24×C7311yescharacteristic
1215C24C24×C7311yescharacteristic
1216C24C24×C7311yescharacteristic
1217C24C24×C7311yescharacteristic
1218C24C24×C7311yescharacteristic
1219C24C24×C7311yescharacteristic
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4#41×C7314yes—
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—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—416no—
1311C22×C4C24×C7311yescharacteristic
1312C22×C4C24×C7311yescharacteristic
1313C22×C4C24×C7311yescharacteristic
1314C22×C4C24×C7311yescharacteristic
1315C22×C4C24×C7311yescharacteristic
1316C22×C4C24×C7311yescharacteristic
1317C22×C4C24×C7311yescharacteristic
1318C22×C4C24×C7311yescharacteristic
1319C22×C4C24×C7311yescharacteristic
1320C22×C4C24×C7311yescharacteristic
1321C22×C4C24×C7311yescharacteristic
1322C22×C4C24×C7311yescharacteristic
1323C22×C4C24×C7311yescharacteristic
1324C22×C4C24×C7311yescharacteristic
1325C22×C4C24×C7311yescharacteristic
1326C22×C4C24×C7311yescharacteristic
1327C22×C4C24×C7311yescharacteristic
1328C22×C4C24×C7311yescharacteristic
1329C22×C4C24×C7311yescharacteristic
1330C22×C4C24×C7311yescharacteristic
1331C22×C4C24×C7311yescharacteristic
1332C22×C4C24×C7311yescharacteristic
1333C22×C4C24×C7311yescharacteristic
1334C22×C4C24×C7311yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C42—22no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×#41×C7312yes—
1472C23C2×#41×C7312yes—
1473C23H(5,𝔽2)×C7312yes—
1474C23H(5,𝔽2)×C7312yes—
1475C23C25×C7311yescharacteristic
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4C2×#41×C7312yes—
1576C2×C4H(5,𝔽2)×C7312yes—
1577C2×C4H(5,𝔽2)×C7312yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C7311yescharacteristic
1629C22C2×H(5,𝔽2)×C7311yescharacteristic
1630C22C2×H(5,𝔽2)×C7311yescharacteristic
1631C22C2×H(5,𝔽2)×C7311yescharacteristic
1632C22C2×H(5,𝔽2)×C7311yescharacteristic
1633C22#585×C7311yescharacteristic
1634C22#585×C7311yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C73×#345911yescharacteristic
1667C2C73×#351311yescharacteristic
1668C2C73×#351911yescharacteristic
1669C2C73×#353211yescharacteristic
1670C2C73×#353411yescharacteristic
1671C2C73×#353911yescharacteristic
1672C2C73×#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×#2797C2semidirect
4. C73×#2782C2semidirect
5. C73×#2780C2semidirect
6. C73×#2750C2semidirect
7. C73×#2744C2semidirect
8. C73×#2708C2semidirect
9. C73×#2697C2semidirect
10. C73×#2693C2semidirect
11. C73×#2693C2semidirect
12. C73×#2688C2semidirect
13. C73×#2688C2semidirect
14. C73×#2682C2semidirect
15. C73×#2678C2semidirect
16. C73×#2673C2semidirect
17. C73×#2669C2semidirect
18. C73×#2668C2semidirect
19. C73×#2649C2semidirect
20. C73×#2648C2semidirect
21. C73×#2530C2semidirect
22. C73×#2526C2semidirect
23. C73×#2464C2semidirect
24. C73×#2457C2semidirect
25. C73×#2456C2semidirect
26. C73×#2456C2semidirect
27. C73×#2444C2semidirect
28. C73×#2425C2semidirect
29. C73×#2328C2semidirect
30. C73×#2325C2semidirect
31. C4×#120×C73C2semidirect
38. C2×#123×C73C22semidirect
39. C2×#123×C73C22semidirect
55. C2×C4×D4×C73C22semidirect
56. C2×C4×D4×C73C22semidirect
57. #400×C73C22semidirect
58. #400×C73C22semidirect
59. #400×C73C22semidirect
60. #400×C73C22semidirect
61. #400×C73C22semidirect
62. #400×C73C22semidirect
63. #400×C73C22semidirect
64. #400×C73C22semidirect
66. #398×C73C22semidirect
67. #398×C73C22semidirect
73. #397×C73C22semidirect
74. #397×C73C22semidirect
75. #397×C73C22semidirect
76. #397×C73C22semidirect
77. #397×C73C22semidirect
81. #396×C73C22semidirect
82. #396×C73C22semidirect
83. #396×C73C22semidirect
84. #396×C73C22semidirect
93. #394×C73C22semidirect
94. #394×C73C22semidirect
102. #392×C73C22semidirect
103. #392×C73C22semidirect
104. #392×C73C22semidirect
108. #390×C73C22semidirect
109. #390×C73C22semidirect
110. #389×C73C22semidirect
111. #389×C73C22semidirect
117. #388×C73C22semidirect
118. #388×C73C22semidirect
119. #388×C73C22semidirect
120. #388×C73C22semidirect
121. #388×C73C22semidirect
122. #388×C73C22semidirect
123. #388×C73C22semidirect
124. #387×C73C22semidirect
125. #387×C73C22semidirect
126. #387×C73C22semidirect
127. #387×C73C22semidirect
128. #387×C73C22semidirect
129. #387×C73C22semidirect
130. #387×C73C22semidirect
152. #386×C73C22semidirect
153. #386×C73C22semidirect
154. #386×C73C22semidirect
155. #386×C73C22semidirect
156. #386×C73C22semidirect
157. #386×C73C22semidirect
158. #386×C73C22semidirect
166. #385×C73C22semidirect
167. #385×C73C22semidirect
168. #385×C73C22semidirect
169. #385×C73C22semidirect
170. #385×C73C22semidirect
171. #382×C73C22semidirect
174. #381×C73C22semidirect
178. #380×C73C22semidirect
179. #380×C73C22semidirect
185. #376×C73C22semidirect
186. C2×#95×C73C22semidirect
822. #36856C73direct (N × H)
837. #2849C2×C73semidirect
838. #2847C2×C73semidirect
839. #2797C2×C73semidirect
840. #2782C2×C73semidirect
841. #2780C2×C73semidirect
842. #2750C2×C73semidirect
843. #2744C2×C73semidirect
844. #2708C2×C73semidirect
845. #2697C2×C73semidirect
846. #2693C2×C73semidirect
847. #2693C2×C73semidirect
848. #2688C2×C73semidirect
849. #2688C2×C73semidirect
850. #2682C2×C73semidirect
851. #2678C2×C73semidirect
852. #2673C2×C73semidirect
853. #2669C2×C73semidirect
854. #2668C2×C73semidirect
855. #2649C2×C73semidirect
856. #2648C2×C73semidirect
857. #2530C2×C73semidirect
858. #2526C2×C73semidirect
859. #2464C2×C73semidirect
860. #2457C2×C73semidirect
861. #2456C2×C73semidirect
862. #2456C2×C73semidirect
863. #2444C2×C73semidirect
864. #2425C2×C73semidirect
865. #2328C2×C73semidirect
866. #2325C2×C73semidirect
867. C4×#120C2×C73semidirect
868. C73#36856direct (N × H)
875. C2×#123C22×C73semidirect
876. C2×#123C22×C73semidirect
892. C2×C4×D4C22×C73semidirect
893. C2×C4×D4C22×C73semidirect
894. #400C22×C73semidirect
895. #400C22×C73semidirect
896. #400C22×C73semidirect
897. #400C22×C73semidirect
898. #400C22×C73semidirect
899. #400C22×C73semidirect
900. #400C22×C73semidirect
901. #400C22×C73semidirect
903. #398C22×C73semidirect
904. #398C22×C73semidirect
910. #397C22×C73semidirect
911. #397C22×C73semidirect
912. #397C22×C73semidirect
913. #397C22×C73semidirect
914. #397C22×C73semidirect
918. #396C22×C73semidirect
919. #396C22×C73semidirect
920. #396C22×C73semidirect
921. #396C22×C73semidirect
930. #394C22×C73semidirect
931. #394C22×C73semidirect
939. #392C22×C73semidirect
940. #392C22×C73semidirect
941. #392C22×C73semidirect
945. #390C22×C73semidirect
946. #390C22×C73semidirect
947. #389C22×C73semidirect
948. #389C22×C73semidirect
954. #388C22×C73semidirect
955. #388C22×C73semidirect
956. #388C22×C73semidirect
957. #388C22×C73semidirect
958. #388C22×C73semidirect
959. #388C22×C73semidirect
960. #388C22×C73semidirect
961. #387C22×C73semidirect
962. #387C22×C73semidirect
963. #387C22×C73semidirect
964. #387C22×C73semidirect
965. #387C22×C73semidirect
966. #387C22×C73semidirect
967. #387C22×C73semidirect
989. #386C22×C73semidirect
990. #386C22×C73semidirect
991. #386C22×C73semidirect
992. #386C22×C73semidirect
993. #386C22×C73semidirect
994. #386C22×C73semidirect
995. #386C22×C73semidirect
1003. #385C22×C73semidirect
1004. #385C22×C73semidirect
1005. #385C22×C73semidirect
1006. #385C22×C73semidirect
1007. #385C22×C73semidirect
1008. #382C22×C73semidirect
1011. #381C22×C73semidirect
1015. #380C22×C73semidirect
1016. #380C22×C73semidirect
1022. #376C22×C73semidirect
1023. C2×#95C22×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×#27972
C73×#27822
C73×#27802
C73×#27502
C73×#27442
C73×#27082
C73×#26972
C73×#26932
C73×#26882
C73×#26822
C73×#26782
C73×#26732
C73×#26692
C73×#26682
C73×#26492
C73×#26482
C73×#25302
C73×#25262
C73×#24642
C73×#24572
C73×#24562
C73×#24442
C73×#24252
C73×#23282
C73×#23252
C4×#120×C732
#3685673