Finite Group Databasebeta

← C73×#36887 #32946291

Subgroups — C73×#36887 #32946291

Order 18688.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1670 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×#2778C211yesmaximal, characteristic, complemented
4C73×#2768C211yesmaximal, characteristic, complemented
5C73×#2753C211yesmaximal, characteristic, complemented
6C73×#2746C211yesmaximal, characteristic, complemented
7C73×#2739C211yesmaximal, characteristic, complemented
8C73×#2714C211yesmaximal, characteristic, complemented
9C73×#2709C211yesmaximal, characteristic, complemented
10C73×#2705C211yesmaximal, characteristic, complemented
11C73×#2699C211yesmaximal, characteristic, complemented
12C73×#2691C211yesmaximal, characteristic, complemented
13C73×#2685C211yesmaximal, characteristic, complemented
14C73×#2678C211yesmaximal, characteristic, complemented
15C73×#2678C211yesmaximal, characteristic, complemented
16C73×#2671C211yesmaximal, characteristic, complemented
17C73×#2671C211yesmaximal, characteristic, complemented
18C73×#2669C211yesmaximal, characteristic, complemented
19C73×#2636C211yesmaximal, characteristic, complemented
20C73×#2635C211yesmaximal, characteristic, complemented
21C73×#2576C211yesmaximal, characteristic, complemented
22C73×#2559C211yesmaximal, characteristic, complemented
23C73×#2554C211yesmaximal, characteristic, complemented
24C73×#2553C211yesmaximal, characteristic, complemented
25C73×#2468C211yesmaximal, characteristic, complemented
26C73×#2464C211yesmaximal, characteristic, complemented
27C73×#2428C211yesmaximal, characteristic, complemented
28C73×#2420C211yesmaximal, characteristic, complemented
29C73×#2335C211yesmaximal, characteristic, complemented
30C73×#2333C211yesmaximal, characteristic, complemented
31C4×#120×C73C211yesmaximal, characteristic, complemented
32C24×C4×C73C2211yescharacteristic
33C2×#127×C73C2211yescharacteristic
34C2×#126×C73C2211yescharacteristic
35C2×#126×C73C2211yescharacteristic, complemented
36C2×#126×C73C2211yescharacteristic, complemented
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic
40C2×#123×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×#121×C73C2211yescharacteristic
44C2×#121×C73C2211yescharacteristic
45C2×#121×C73C2211yescharacteristic
46C2×#121×C73C2211yescharacteristic
47C2×#121×C73C2211yescharacteristic
48C2×#121×C73C2211yescharacteristic, complemented
49C2×#121×C73C2211yescharacteristic, complemented
50C2×#120×C73C2211yescharacteristic
51C2×#120×C73C2211yescharacteristic
52C2×#120×C73C2211yescharacteristic
53C2×#120×C73C2211yescharacteristic
54C2×C4×D4×C73C2211yescharacteristic
55C2×C4×D4×C73C2211yescharacteristic
56C2×C4×D4×C73C2211yescharacteristic
57#401×C73C2211yescharacteristic, complemented
58#400×C73C2211yescharacteristic, complemented
59#400×C73C2211yescharacteristic, complemented
60#400×C73C2211yescharacteristic, complemented
61#399×C73C2211yescharacteristic
62#399×C73C2211yescharacteristic, complemented
63#399×C73C2211yescharacteristic, complemented
64#398×C73C2211yescharacteristic, complemented
65#398×C73C2211yescharacteristic, complemented
66#398×C73C2211yescharacteristic, complemented
67#398×C73C2211yescharacteristic, complemented
68#398×C73C2211yescharacteristic, complemented
69#397×C73C2211yescharacteristic
70#397×C73C2211yescharacteristic
71#397×C73C2211yescharacteristic, complemented
72#397×C73C2211yescharacteristic, complemented
73#396×C73C2211yescharacteristic
74#396×C73C2211yescharacteristic
75#396×C73C2211yescharacteristic
76#396×C73C2211yescharacteristic, complemented
77#394×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
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, complemented
88#394×C73C2211yescharacteristic, complemented
89#394×C73C2211yescharacteristic, complemented
90#394×C73C2211yescharacteristic, complemented
91#394×C73C2211yescharacteristic, complemented
92#394×C73C2211yescharacteristic, complemented
93#394×C73C2211yescharacteristic, complemented
94#394×C73C2211yescharacteristic, complemented
95#394×C73C2211yescharacteristic, complemented
96#392×C73C2211yescharacteristic
97#392×C73C2211yescharacteristic
98#392×C73C2211yescharacteristic
99#392×C73C2211yescharacteristic
100#392×C73C2211yescharacteristic
101#392×C73C2211yescharacteristic
102#392×C73C2211yescharacteristic
103#392×C73C2211yescharacteristic
104#392×C73C2211yescharacteristic, complemented
105#390×C73C2211yescharacteristic
106#390×C73C2211yescharacteristic
107#390×C73C2211yescharacteristic
108#390×C73C2211yescharacteristic
109#390×C73C2211yescharacteristic
110#390×C73C2211yescharacteristic
111#390×C73C2211yescharacteristic, complemented
112#390×C73C2211yescharacteristic, complemented
113#389×C73C2211yescharacteristic, complemented
114#389×C73C2211yescharacteristic, complemented
115#389×C73C2211yescharacteristic, complemented
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic
118#388×C73C2211yescharacteristic
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic
121#388×C73C2211yescharacteristic
122#388×C73C2211yescharacteristic
123#388×C73C2211yescharacteristic, complemented
124#388×C73C2211yescharacteristic, complemented
125#388×C73C2211yescharacteristic, complemented
126#388×C73C2211yescharacteristic, complemented
127#388×C73C2211yescharacteristic, complemented
128#388×C73C2211yescharacteristic, complemented
129#388×C73C2211yescharacteristic, complemented
130#388×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
153#386×C73C2211yescharacteristic, complemented
154#386×C73C2211yescharacteristic, complemented
155#386×C73C2211yescharacteristic, complemented
156#386×C73C2211yescharacteristic, complemented
157#385×C73C2211yescharacteristic
158#385×C73C2211yescharacteristic
159#385×C73C2211yescharacteristic
160#385×C73C2211yescharacteristic
161#385×C73C2211yescharacteristic
162#385×C73C2211yescharacteristic
163#385×C73C2211yescharacteristic
164#385×C73C2211yescharacteristic, complemented
165#385×C73C2211yescharacteristic, complemented
166#385×C73C2211yescharacteristic, complemented
167#382×C73C2211yescharacteristic, complemented
168#382×C73C2211yescharacteristic, complemented
169#381×C73C2211yescharacteristic
170#381×C73C2211yescharacteristic
171#381×C73C2211yescharacteristic, complemented
172#381×C73C2211yescharacteristic, complemented
173#380×C73C2211yescharacteristic
174#380×C73C2211yescharacteristic
175#380×C73C2211yescharacteristic
176#380×C73C2211yescharacteristic, complemented
177#380×C73C2211yescharacteristic, complemented
178#379×C73C2211yescharacteristic
179#379×C73C2211yescharacteristic
180C4×C4⋊C4×C73C2211yescharacteristic, complemented
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
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
219#127×C73—42no—
220#126×C73—42no—
221#126×C73—42no—
222#126×C73—42no—
223#123×C73—24no—
224#123×C73—42no—
225#123×C73—42no—
226#123×C73—42no—
227#121×C73—24no—
228#121×C73—42no—
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—
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×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×C22⋊C4×C73C2311yescharacteristic
324C2×C22⋊C4×C73C2311yescharacteristic
325C2×C42×C73C2311yescharacteristic
326C2×C42×C73C2311yescharacteristic
327C2×C42×C73C2311yescharacteristic
328C2×C42×C73C2311yescharacteristic
329C2×C42×C73C2311yescharacteristic
330C2×C42×C73C2311yescharacteristic
331C2×C42×C73C2311yescharacteristic
332C2×C42×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—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—
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—41no—
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—22no—
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—416no—
468C22×C4×C73C2411yescharacteristic
469C22×C4×C73C2411yescharacteristic
470C22×C4×C73C2411yescharacteristic
471C22×C4×C73C2411yescharacteristic
472C22×C4×C73C2411yescharacteristic
473C22×C4×C73C2411yescharacteristic
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
492C4⋊C4×C73—22no—
493C4⋊C4×C73—22no—
494C4⋊C4×C73—22no—
495C4⋊C4×C73—22no—
496C4⋊C4×C73—22no—
497C4⋊C4×C73—22no—
498C4⋊C4×C73—22no—
499C4⋊C4×C73—41no—
500C4⋊C4×C73—41no—
501C4⋊C4×C73—41no—
502C4⋊C4×C73—41no—
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—
518C22⋊C4×C73—22no—
519C22⋊C4×C73—22no—
520C22⋊C4×C73—22no—
521C22⋊C4×C73—22no—
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—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—
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#4114yes—
574C42×C73—22no—
575C42×C73—41no—
576C42×C73—41no—
577C42×C73—41no—
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—21no—
628C23×C73—44no—
629C23×C73—44no—
630C23×C73—44no—
631C23×C73—44no—
632C23×C73—44no—
633C23×C73—44no—
634C23×C73—44no—
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—82no—
643D4×C73—82no—
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—44no—
726C2×C4×C73—44no—
727C2×C4×C73—44no—
728C2×C4×C73—44no—
729C2×C4×C73—44no—
730C2×C4×C73—44no—
731C2×C4×C73—82no—
732C2×C4×C73—82no—
733C2×C4×C73—82no—
734C2×C4×C73—82no—
735C2×C4×C73C2×#4112yes—
736C2×C4×C73C2×#4112yes—
737C2×C4×C73H(5,𝔽2)12yes—
738C2×C4×C73H(5,𝔽2)12yes—
739C22×C73—22no—
740C22×C73—22no—
741C22×C73—22no—
742C22×C73—22no—
743C22×C73—22no—
744C22×C73—22no—
745C22×C73—22no—
746C22×C73—22no—
747C22×C73—22no—
748C22×C73—416no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
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×C73C22×#4111yescharacteristic
790C22×C73C2×H(5,𝔽2)11yescharacteristic
791C22×C73C2×H(5,𝔽2)11yescharacteristic
792C22×C73C2×H(5,𝔽2)11yescharacteristic
793C22×C73C2×H(5,𝔽2)11yescharacteristic
794C22×C73#58511yescharacteristic
795C22×C73#58511yescharacteristic
796C4×C73—22no—
797C4×C73—22no—
798C4×C73—22no—
799C4×C73—22no—
800C4×C73—41no—
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—
820#36887C7311yesmaximal, characteristic, direct product factor, Sylow
821C2×C73—42no—
822C2×C73—42no—
823C2×C73—42no—
824C2×C73—81no—
825C2×C73—81no—
826C2×C73—81no—
827C2×C73—81no—
828C2×C73#346011yescharacteristic
829C2×C73#351311yescharacteristic
830C2×C73#351911yescharacteristic
831C2×C73#353211yescharacteristic
832C2×C73#353411yescharacteristic
833C2×C73#353911yescharacteristic
834C2×C73#354211yescharacteristic
835#2849C2×C7311yescharacteristic, complemented
836#2847C2×C7311yescharacteristic, complemented
837#2778C2×C7311yescharacteristic, complemented
838#2768C2×C7311yescharacteristic, complemented
839#2753C2×C7311yescharacteristic, complemented
840#2746C2×C7311yescharacteristic, complemented
841#2739C2×C7311yescharacteristic, complemented
842#2714C2×C7311yescharacteristic, complemented
843#2709C2×C7311yescharacteristic, complemented
844#2705C2×C7311yescharacteristic, complemented
845#2699C2×C7311yescharacteristic, complemented
846#2691C2×C7311yescharacteristic, complemented
847#2685C2×C7311yescharacteristic, complemented
848#2678C2×C7311yescharacteristic, complemented
849#2678C2×C7311yescharacteristic, complemented
850#2671C2×C7311yescharacteristic, complemented
851#2671C2×C7311yescharacteristic, complemented
852#2669C2×C7311yescharacteristic, complemented
853#2636C2×C7311yescharacteristic, complemented
854#2635C2×C7311yescharacteristic, complemented
855#2576C2×C7311yescharacteristic, complemented
856#2559C2×C7311yescharacteristic, complemented
857#2554C2×C7311yescharacteristic, complemented
858#2553C2×C7311yescharacteristic, complemented
859#2468C2×C7311yescharacteristic, complemented
860#2464C2×C7311yescharacteristic, complemented
861#2428C2×C7311yescharacteristic, complemented
862#2420C2×C7311yescharacteristic, complemented
863#2335C2×C7311yescharacteristic, complemented
864#2333C2×C7311yescharacteristic, complemented
865C4×#120C2×C7311yescharacteristic, complemented
866C73#3688711yescharacteristic, direct product factor, Sylow
867C24×C4C22×C7311yescharacteristic
868C2×#127C22×C7311yescharacteristic
869C2×#126C22×C7311yescharacteristic
870C2×#126C22×C7311yescharacteristic, complemented
871C2×#126C22×C7311yescharacteristic, complemented
872C2×#123C22×C7311yescharacteristic
873C2×#123C22×C7311yescharacteristic
874C2×#123C22×C7311yescharacteristic
875C2×#123C22×C7311yescharacteristic
876C2×#121C22×C7311yescharacteristic
877C2×#121C22×C7311yescharacteristic
878C2×#121C22×C7311yescharacteristic
879C2×#121C22×C7311yescharacteristic
880C2×#121C22×C7311yescharacteristic
881C2×#121C22×C7311yescharacteristic
882C2×#121C22×C7311yescharacteristic
883C2×#121C22×C7311yescharacteristic, complemented
884C2×#121C22×C7311yescharacteristic, complemented
885C2×#120C22×C7311yescharacteristic
886C2×#120C22×C7311yescharacteristic
887C2×#120C22×C7311yescharacteristic
888C2×#120C22×C7311yescharacteristic
889C2×C4×D4C22×C7311yescharacteristic
890C2×C4×D4C22×C7311yescharacteristic
891C2×C4×D4C22×C7311yescharacteristic
892#401C22×C7311yescharacteristic, complemented
893#400C22×C7311yescharacteristic, complemented
894#400C22×C7311yescharacteristic, complemented
895#400C22×C7311yescharacteristic, complemented
896#399C22×C7311yescharacteristic
897#399C22×C7311yescharacteristic, complemented
898#399C22×C7311yescharacteristic, complemented
899#398C22×C7311yescharacteristic, complemented
900#398C22×C7311yescharacteristic, complemented
901#398C22×C7311yescharacteristic, complemented
902#398C22×C7311yescharacteristic, complemented
903#398C22×C7311yescharacteristic, complemented
904#397C22×C7311yescharacteristic
905#397C22×C7311yescharacteristic
906#397C22×C7311yescharacteristic, complemented
907#397C22×C7311yescharacteristic, complemented
908#396C22×C7311yescharacteristic
909#396C22×C7311yescharacteristic
910#396C22×C7311yescharacteristic
911#396C22×C7311yescharacteristic, complemented
912#394C22×C7311yescharacteristic
913#394C22×C7311yescharacteristic
914#394C22×C7311yescharacteristic
915#394C22×C7311yescharacteristic
916#394C22×C7311yescharacteristic
917#394C22×C7311yescharacteristic
918#394C22×C7311yescharacteristic
919#394C22×C7311yescharacteristic
920#394C22×C7311yescharacteristic
921#394C22×C7311yescharacteristic
922#394C22×C7311yescharacteristic, complemented
923#394C22×C7311yescharacteristic, complemented
924#394C22×C7311yescharacteristic, complemented
925#394C22×C7311yescharacteristic, complemented
926#394C22×C7311yescharacteristic, complemented
927#394C22×C7311yescharacteristic, complemented
928#394C22×C7311yescharacteristic, complemented
929#394C22×C7311yescharacteristic, complemented
930#394C22×C7311yescharacteristic, complemented
931#392C22×C7311yescharacteristic
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#390C22×C7311yescharacteristic
941#390C22×C7311yescharacteristic
942#390C22×C7311yescharacteristic
943#390C22×C7311yescharacteristic
944#390C22×C7311yescharacteristic
945#390C22×C7311yescharacteristic
946#390C22×C7311yescharacteristic, complemented
947#390C22×C7311yescharacteristic, complemented
948#389C22×C7311yescharacteristic, complemented
949#389C22×C7311yescharacteristic, complemented
950#389C22×C7311yescharacteristic, complemented
951#388C22×C7311yescharacteristic
952#388C22×C7311yescharacteristic
953#388C22×C7311yescharacteristic
954#388C22×C7311yescharacteristic
955#388C22×C7311yescharacteristic
956#388C22×C7311yescharacteristic
957#388C22×C7311yescharacteristic
958#388C22×C7311yescharacteristic, complemented
959#388C22×C7311yescharacteristic, complemented
960#388C22×C7311yescharacteristic, complemented
961#388C22×C7311yescharacteristic, complemented
962#388C22×C7311yescharacteristic, complemented
963#388C22×C7311yescharacteristic, complemented
964#388C22×C7311yescharacteristic, complemented
965#388C22×C7311yescharacteristic, complemented
966#387C22×C7311yescharacteristic, complemented
967#387C22×C7311yescharacteristic, complemented
968#387C22×C7311yescharacteristic, complemented
969#387C22×C7311yescharacteristic, complemented
970#387C22×C7311yescharacteristic, complemented
971#387C22×C7311yescharacteristic, complemented
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, complemented
989#386C22×C7311yescharacteristic, complemented
990#386C22×C7311yescharacteristic, complemented
991#386C22×C7311yescharacteristic, complemented
992#385C22×C7311yescharacteristic
993#385C22×C7311yescharacteristic
994#385C22×C7311yescharacteristic
995#385C22×C7311yescharacteristic
996#385C22×C7311yescharacteristic
997#385C22×C7311yescharacteristic
998#385C22×C7311yescharacteristic
999#385C22×C7311yescharacteristic, complemented
1000#385C22×C7311yescharacteristic, complemented
1001#385C22×C7311yescharacteristic, complemented
1002#382C22×C7311yescharacteristic, complemented
1003#382C22×C7311yescharacteristic, complemented
1004#381C22×C7311yescharacteristic
1005#381C22×C7311yescharacteristic
1006#381C22×C7311yescharacteristic, complemented
1007#381C22×C7311yescharacteristic, complemented
1008#380C22×C7311yescharacteristic
1009#380C22×C7311yescharacteristic
1010#380C22×C7311yescharacteristic
1011#380C22×C7311yescharacteristic, complemented
1012#380C22×C7311yescharacteristic, complemented
1013#379C22×C7311yescharacteristic
1014#379C22×C7311yescharacteristic
1015C4×C4⋊C4C22×C7311yescharacteristic, complemented
1016C4×C22⋊C4C22×C7311yescharacteristic
1017C4×C22⋊C4C22×C7311yescharacteristic
1018C4×C22⋊C4C22×C7311yescharacteristic
1019C4×C22⋊C4C22×C7311yescharacteristic, complemented
1020C4×C22⋊C4C22×C7311yescharacteristic, complemented
1021C4×C22⋊C4C22×C7311yescharacteristic, complemented
1022C25C23×C7311yescharacteristic
1023C22×D4C23×C7311yescharacteristic
1024C22×D4C23×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
1041C23×C4—42no—
1042C23×C4—42no—
1043C23×C4—42no—
1044C23×C4C23×C7311yescharacteristic
1045C23×C4C23×C7311yescharacteristic
1046C23×C4C23×C7311yescharacteristic
1047C23×C4C23×C7311yescharacteristic
1048C23×C4C23×C7311yescharacteristic
1049C23×C4C23×C7311yescharacteristic
1050C23×C4C23×C7311yescharacteristic
1051C23×C4C23×C7311yescharacteristic
1052C23×C4C23×C7311yescharacteristic
1053C23×C4C23×C7311yescharacteristic
1054#127—42no—
1055#126—42no—
1056#126—42no—
1057#126—42no—
1058#123—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#121—24no—
1063#121—42no—
1064#121—42no—
1065#121—42no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#120—24no—
1072#120—42no—
1073#120—42no—
1074#120—42no—
1075C4×D4—42no—
1076C4×D4—42no—
1077C4×D4—42no—
1078C2×C4⋊C4C23×C7311yescharacteristic
1079C2×C4⋊C4C23×C7311yescharacteristic
1080C2×C4⋊C4C23×C7311yescharacteristic
1081C2×C4⋊C4C23×C7311yescharacteristic
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×C22⋊C4C23×C7311yescharacteristic
1105C2×C22⋊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
1166C2×C42C23×C7311yescharacteristic
1167C2×C42C23×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
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24C24×C7311yescharacteristic
1212C24C24×C7311yescharacteristic
1213C24C24×C7311yescharacteristic
1214C24C24×C7311yescharacteristic
1215C24C24×C7311yescharacteristic
1216C24C24×C7311yescharacteristic
1217C24C24×C7311yescharacteristic
1218C2×D4—22no—
1219C2×D4—22no—
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—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
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—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—416no—
1303C22×C4C24×C7311yescharacteristic
1304C22×C4C24×C7311yescharacteristic
1305C22×C4C24×C7311yescharacteristic
1306C22×C4C24×C7311yescharacteristic
1307C22×C4C24×C7311yescharacteristic
1308C22×C4C24×C7311yescharacteristic
1309C22×C4C24×C7311yescharacteristic
1310C22×C4C24×C7311yescharacteristic
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
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
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—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
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—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
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#41×C7314yes—
1409C42—22no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C23—21no—
1418C23—21no—
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—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23C2×#41×C7312yes—
1471C23H(5,𝔽2)×C7312yes—
1472C23H(5,𝔽2)×C7312yes—
1473C23C25×C7311yescharacteristic
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492C2×C4—21no—
1493C2×C4—21no—
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—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4C2×#41×C7312yes—
1571C2×C4C2×#41×C7312yes—
1572C2×C4H(5,𝔽2)×C7312yes—
1573C2×C4H(5,𝔽2)×C7312yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—416no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
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—
1624C22C22×#41×C7311yescharacteristic
1625C22C2×H(5,𝔽2)×C7311yescharacteristic
1626C22C2×H(5,𝔽2)×C7311yescharacteristic
1627C22C2×H(5,𝔽2)×C7311yescharacteristic
1628C22C2×H(5,𝔽2)×C7311yescharacteristic
1629C22#585×C7311yescharacteristic
1630C22#585×C7311yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
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—
1655C2—42no—
1656C2—42no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C73×#346011yescharacteristic
1663C2C73×#351311yescharacteristic
1664C2C73×#351911yescharacteristic
1665C2C73×#353211yescharacteristic
1666C2C73×#353411yescharacteristic
1667C2C73×#353911yescharacteristic
1668C2C73×#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×#2778C2semidirect
4. C73×#2768C2semidirect
5. C73×#2753C2semidirect
6. C73×#2746C2semidirect
7. C73×#2739C2semidirect
8. C73×#2714C2semidirect
9. C73×#2709C2semidirect
10. C73×#2705C2semidirect
11. C73×#2699C2semidirect
12. C73×#2691C2semidirect
13. C73×#2685C2semidirect
14. C73×#2678C2semidirect
15. C73×#2678C2semidirect
16. C73×#2671C2semidirect
17. C73×#2671C2semidirect
18. C73×#2669C2semidirect
19. C73×#2636C2semidirect
20. C73×#2635C2semidirect
21. C73×#2576C2semidirect
22. C73×#2559C2semidirect
23. C73×#2554C2semidirect
24. C73×#2553C2semidirect
25. C73×#2468C2semidirect
26. C73×#2464C2semidirect
27. C73×#2428C2semidirect
28. C73×#2420C2semidirect
29. C73×#2335C2semidirect
30. C73×#2333C2semidirect
31. C4×#120×C73C2semidirect
35. C2×#126×C73C22semidirect
36. C2×#126×C73C22semidirect
48. C2×#121×C73C22semidirect
49. C2×#121×C73C22semidirect
57. #401×C73C22semidirect
58. #400×C73C22semidirect
59. #400×C73C22semidirect
60. #400×C73C22semidirect
62. #399×C73C22semidirect
63. #399×C73C22semidirect
64. #398×C73C22semidirect
65. #398×C73C22semidirect
66. #398×C73C22semidirect
67. #398×C73C22semidirect
68. #398×C73C22semidirect
71. #397×C73C22semidirect
72. #397×C73C22semidirect
76. #396×C73C22semidirect
87. #394×C73C22semidirect
88. #394×C73C22semidirect
89. #394×C73C22semidirect
90. #394×C73C22semidirect
91. #394×C73C22semidirect
92. #394×C73C22semidirect
93. #394×C73C22semidirect
94. #394×C73C22semidirect
95. #394×C73C22semidirect
104. #392×C73C22semidirect
111. #390×C73C22semidirect
112. #390×C73C22semidirect
113. #389×C73C22semidirect
114. #389×C73C22semidirect
115. #389×C73C22semidirect
123. #388×C73C22semidirect
124. #388×C73C22semidirect
125. #388×C73C22semidirect
126. #388×C73C22semidirect
127. #388×C73C22semidirect
128. #388×C73C22semidirect
129. #388×C73C22semidirect
130. #388×C73C22semidirect
131. #387×C73C22semidirect
132. #387×C73C22semidirect
133. #387×C73C22semidirect
134. #387×C73C22semidirect
135. #387×C73C22semidirect
136. #387×C73C22semidirect
153. #386×C73C22semidirect
154. #386×C73C22semidirect
155. #386×C73C22semidirect
156. #386×C73C22semidirect
164. #385×C73C22semidirect
165. #385×C73C22semidirect
166. #385×C73C22semidirect
167. #382×C73C22semidirect
168. #382×C73C22semidirect
171. #381×C73C22semidirect
172. #381×C73C22semidirect
176. #380×C73C22semidirect
177. #380×C73C22semidirect
180. C4×C4⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
820. #36887C73direct (N × H)
835. #2849C2×C73semidirect
836. #2847C2×C73semidirect
837. #2778C2×C73semidirect
838. #2768C2×C73semidirect
839. #2753C2×C73semidirect
840. #2746C2×C73semidirect
841. #2739C2×C73semidirect
842. #2714C2×C73semidirect
843. #2709C2×C73semidirect
844. #2705C2×C73semidirect
845. #2699C2×C73semidirect
846. #2691C2×C73semidirect
847. #2685C2×C73semidirect
848. #2678C2×C73semidirect
849. #2678C2×C73semidirect
850. #2671C2×C73semidirect
851. #2671C2×C73semidirect
852. #2669C2×C73semidirect
853. #2636C2×C73semidirect
854. #2635C2×C73semidirect
855. #2576C2×C73semidirect
856. #2559C2×C73semidirect
857. #2554C2×C73semidirect
858. #2553C2×C73semidirect
859. #2468C2×C73semidirect
860. #2464C2×C73semidirect
861. #2428C2×C73semidirect
862. #2420C2×C73semidirect
863. #2335C2×C73semidirect
864. #2333C2×C73semidirect
865. C4×#120C2×C73semidirect
866. C73#36887direct (N × H)
870. C2×#126C22×C73semidirect
871. C2×#126C22×C73semidirect
883. C2×#121C22×C73semidirect
884. C2×#121C22×C73semidirect
892. #401C22×C73semidirect
893. #400C22×C73semidirect
894. #400C22×C73semidirect
895. #400C22×C73semidirect
897. #399C22×C73semidirect
898. #399C22×C73semidirect
899. #398C22×C73semidirect
900. #398C22×C73semidirect
901. #398C22×C73semidirect
902. #398C22×C73semidirect
903. #398C22×C73semidirect
906. #397C22×C73semidirect
907. #397C22×C73semidirect
911. #396C22×C73semidirect
922. #394C22×C73semidirect
923. #394C22×C73semidirect
924. #394C22×C73semidirect
925. #394C22×C73semidirect
926. #394C22×C73semidirect
927. #394C22×C73semidirect
928. #394C22×C73semidirect
929. #394C22×C73semidirect
930. #394C22×C73semidirect
939. #392C22×C73semidirect
946. #390C22×C73semidirect
947. #390C22×C73semidirect
948. #389C22×C73semidirect
949. #389C22×C73semidirect
950. #389C22×C73semidirect
958. #388C22×C73semidirect
959. #388C22×C73semidirect
960. #388C22×C73semidirect
961. #388C22×C73semidirect
962. #388C22×C73semidirect
963. #388C22×C73semidirect
964. #388C22×C73semidirect
965. #388C22×C73semidirect
966. #387C22×C73semidirect
967. #387C22×C73semidirect
968. #387C22×C73semidirect
969. #387C22×C73semidirect
970. #387C22×C73semidirect
971. #387C22×C73semidirect
988. #386C22×C73semidirect
989. #386C22×C73semidirect
990. #386C22×C73semidirect
991. #386C22×C73semidirect
999. #385C22×C73semidirect
1000. #385C22×C73semidirect
1001. #385C22×C73semidirect
1002. #382C22×C73semidirect
1003. #382C22×C73semidirect
1006. #381C22×C73semidirect
1007. #381C22×C73semidirect
1011. #380C22×C73semidirect
1012. #380C22×C73semidirect
1015. C4×C4⋊C4C22×C73semidirect
1019. C4×C22⋊C4C22×C73semidirect
1020. C4×C22⋊C4C22×C73semidirect
1021. 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×#27782
C73×#27682
C73×#27532
C73×#27462
C73×#27392
C73×#27142
C73×#27092
C73×#27052
C73×#26992
C73×#26912
C73×#26852
C73×#26782
C73×#26712
C73×#26692
C73×#26362
C73×#26352
C73×#25762
C73×#25592
C73×#25542
C73×#25532
C73×#24682
C73×#24642
C73×#24282
C73×#24202
C73×#23352
C73×#23332
C4×#120×C732
#3688773