Finite Group Databasebeta

← C73×#59685 #32969089

Subgroups — C73×#59685 #32969089

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2801C211yesmaximal, characteristic, complemented
2C73×#2797C211yesmaximal, characteristic, complemented
3C73×#2790C211yesmaximal, characteristic, complemented
4C73×#2703C211yesmaximal, characteristic, complemented
5C73×#2602C211yesmaximal, characteristic, complemented
6C73×#2598C211yesmaximal, characteristic, complemented
7C73×#2597C211yesmaximal, characteristic, complemented
8C73×#2591C211yesmaximal, characteristic, complemented
9C73×#2576C211yesmaximal, characteristic, complemented
10C73×#2543C211yesmaximal, characteristic, complemented
11C73×#2531C211yesmaximal, characteristic, complemented
12C73×#2526C211yesmaximal, characteristic, complemented
13C73×#2525C211yesmaximal, characteristic, complemented
14C73×#2510C211yesmaximal, characteristic, complemented
15C73×#2505C211yesmaximal, characteristic, complemented
16C73×#2500C211yesmaximal, characteristic, complemented
17C73×#2464C211yesmaximal, characteristic, complemented
18C73×#2443C211yesmaximal, characteristic, complemented
19C73×#2424C211yesmaximal, characteristic, complemented
20C73×#2424C211yesmaximal, characteristic, complemented
21C73×#2424C211yesmaximal, characteristic, complemented
22C73×#2412C211yesmaximal, characteristic, complemented
23C73×#2374C211yesmaximal, characteristic, complemented
24C73×#2364C211yesmaximal, characteristic, complemented
25C73×#2361C211yesmaximal, characteristic, complemented
26C73×#2358C211yesmaximal, characteristic, complemented
27C73×#2358C211yesmaximal, characteristic, complemented
28D4×C4⋊C4×C73C211yesmaximal, characteristic, complemented
29C4×#121×C73C211yesmaximal, characteristic, complemented
30C73×#2290C211yesmaximal, characteristic, complemented
31C2×#388×C73C211yesmaximal, characteristic, complemented
32C2×#123×C73C2211yescharacteristic
33C2×#123×C73C2211yescharacteristic, complemented
34C2×#121×C73C2211yescharacteristic
35C2×#121×C73C2211yescharacteristic
36C2×#121×C73C2211yescharacteristic
37C2×#121×C73C2211yescharacteristic
38C2×#121×C73C2211yescharacteristic
39C2×#121×C73C2211yescharacteristic
40C2×#120×C73C2211yescharacteristic
41C2×#120×C73C2211yescharacteristic
42C2×#120×C73C2211yescharacteristic
43C2×C4×D4×C73C2211yescharacteristic
44C2×C4×D4×C73C2211yescharacteristic
45C2×C4×D4×C73C2211yescharacteristic
46C2×C4×D4×C73C2211yescharacteristic
47C2×C4×D4×C73C2211yescharacteristic
48C2×C4×D4×C73C2211yescharacteristic
49C2×C4×D4×C73C2211yescharacteristic
50C2×C4×D4×C73C2211yescharacteristic, complemented
51C2×#117×C73C2211yescharacteristic, complemented
52C22×C4⋊C4×C73C2211yescharacteristic
53C22×C4⋊C4×C73C2211yescharacteristic, complemented
54C22×C22⋊C4×C73C2211yescharacteristic
55C22×C22⋊C4×C73C2211yescharacteristic
56C22×C22⋊C4×C73C2211yescharacteristic
57C22×C22⋊C4×C73C2211yescharacteristic
58C22×C42×C73C2211yescharacteristic
59#401×C73C2211yescharacteristic, complemented
60#400×C73C2211yescharacteristic, complemented
61#400×C73C2211yescharacteristic, complemented
62#400×C73C2211yescharacteristic, complemented
63#400×C73C2211yescharacteristic, complemented
64#399×C73C2211yescharacteristic, complemented
65#398×C73C2211yescharacteristic, complemented
66#398×C73C2211yescharacteristic, complemented
67#398×C73C2211yescharacteristic, complemented
68#397×C73C2211yescharacteristic
69#397×C73C2211yescharacteristic
70#397×C73C2211yescharacteristic, complemented
71#397×C73C2211yescharacteristic, complemented
72#397×C73C2211yescharacteristic, complemented
73#397×C73C2211yescharacteristic, complemented
74#396×C73C2211yescharacteristic
75#396×C73C2211yescharacteristic
76#396×C73C2211yescharacteristic
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, complemented
86#394×C73C2211yescharacteristic, complemented
87#392×C73C2211yescharacteristic
88#392×C73C2211yescharacteristic
89#392×C73C2211yescharacteristic
90#392×C73C2211yescharacteristic, complemented
91#390×C73C2211yescharacteristic
92#390×C73C2211yescharacteristic
93#390×C73C2211yescharacteristic
94#390×C73C2211yescharacteristic
95#390×C73C2211yescharacteristic
96#390×C73C2211yescharacteristic, complemented
97#389×C73C2211yescharacteristic, complemented
98#389×C73C2211yescharacteristic, complemented
99#389×C73C2211yescharacteristic, complemented
100#389×C73C2211yescharacteristic, complemented
101#388×C73C2211yescharacteristic
102#388×C73C2211yescharacteristic
103#388×C73C2211yescharacteristic
104#388×C73C2211yescharacteristic
105#388×C73C2211yescharacteristic
106#388×C73C2211yescharacteristic
107#388×C73C2211yescharacteristic
108#388×C73C2211yescharacteristic
109#388×C73C2211yescharacteristic
110#388×C73C2211yescharacteristic
111#388×C73C2211yescharacteristic
112#388×C73C2211yescharacteristic
113#388×C73C2211yescharacteristic
114#388×C73C2211yescharacteristic
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic, complemented
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#388×C73C2211yescharacteristic, complemented
125#388×C73C2211yescharacteristic, complemented
126#388×C73C2211yescharacteristic, complemented
127#387×C73C2211yescharacteristic, complemented
128#387×C73C2211yescharacteristic, complemented
129#387×C73C2211yescharacteristic, complemented
130#387×C73C2211yescharacteristic, complemented
131#387×C73C2211yescharacteristic, complemented
132#387×C73C2211yescharacteristic, complemented
133#387×C73C2211yescharacteristic, complemented
134#387×C73C2211yescharacteristic, complemented
135#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, complemented
151#386×C73C2211yescharacteristic, complemented
152#386×C73C2211yescharacteristic, complemented
153#386×C73C2211yescharacteristic, complemented
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic
157#385×C73C2211yescharacteristic
158#385×C73C2211yescharacteristic
159#385×C73C2211yescharacteristic
160#385×C73C2211yescharacteristic
161#385×C73C2211yescharacteristic
162#385×C73C2211yescharacteristic, complemented
163#385×C73C2211yescharacteristic, complemented
164#385×C73C2211yescharacteristic, complemented
165#384×C73C2211yescharacteristic, complemented
166#383×C73C2211yescharacteristic, complemented
167#382×C73C2211yescharacteristic, complemented
168#381×C73C2211yescharacteristic
169#380×C73C2211yescharacteristic
170#380×C73C2211yescharacteristic
171#380×C73C2211yescharacteristic, complemented
172C4×C4⋊C4×C73C2211yescharacteristic, complemented
173C4×C4⋊C4×C73C2211yescharacteristic, complemented
174C4×C4⋊C4×C73C2211yescharacteristic, complemented
175C4×C22⋊C4×C73C2211yescharacteristic
176C4×C22⋊C4×C73C2211yescharacteristic
177C4×C22⋊C4×C73C2211yescharacteristic
178C4×C22⋊C4×C73C2211yescharacteristic
179C4×C22⋊C4×C73C2211yescharacteristic, complemented
180C4×C22⋊C4×C73C2211yescharacteristic, complemented
181C4×C22⋊C4×C73C2211yescharacteristic, complemented
182C4×C22⋊C4×C73C2211yescharacteristic, complemented
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184#376×C73C2211yescharacteristic, complemented
185C2×#95×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C25×C73C2311yescharacteristic
188C22×D4×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C23×C4×C73C2311yescharacteristic
201C23×C4×C73C2311yescharacteristic
202C23×C4×C73C2311yescharacteristic
203C23×C4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212C23×C4×C73C2311yescharacteristic
213#123×C73—24no—
214#123×C73—42no—
215#121×C73—24no—
216#121×C73—24no—
217#121×C73—24no—
218#121×C73—42no—
219#121×C73—42no—
220#121×C73—42no—
221#120×C73—24no—
222#120×C73—24no—
223#120×C73—42no—
224C4×D4×C73—24no—
225C4×D4×C73—24no—
226C4×D4×C73—42no—
227C4×D4×C73—42no—
228C4×D4×C73—42no—
229C4×D4×C73—42no—
230C4×D4×C73—42no—
231C4×D4×C73—42no—
232#117×C73—42no—
233C2×C4⋊C4×C73—42no—
234C2×C4⋊C4×C73—42no—
235C2×C4⋊C4×C73C2311yescharacteristic
236C2×C4⋊C4×C73C2311yescharacteristic
237C2×C4⋊C4×C73C2311yescharacteristic
238C2×C4⋊C4×C73C2311yescharacteristic
239C2×C4⋊C4×C73C2311yescharacteristic
240C2×C4⋊C4×C73C2311yescharacteristic
241C2×C4⋊C4×C73C2311yescharacteristic
242C2×C4⋊C4×C73C2311yescharacteristic
243C2×C4⋊C4×C73C2311yescharacteristic
244C2×C4⋊C4×C73C2311yescharacteristic
245C2×C4⋊C4×C73C2311yescharacteristic
246C2×C4⋊C4×C73C2311yescharacteristic
247C2×C4⋊C4×C73C2311yescharacteristic
248C2×C4⋊C4×C73C2311yescharacteristic
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C4⋊C4×C73C2311yescharacteristic
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C4⋊C4×C73C2311yescharacteristic
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C4⋊C4×C73C2311yescharacteristic
261C2×C22⋊C4×C73—24no—
262C2×C22⋊C4×C73—42no—
263C2×C22⋊C4×C73—42no—
264C2×C22⋊C4×C73—42no—
265C2×C22⋊C4×C73C2311yescharacteristic
266C2×C22⋊C4×C73C2311yescharacteristic
267C2×C22⋊C4×C73C2311yescharacteristic
268C2×C22⋊C4×C73C2311yescharacteristic
269C2×C22⋊C4×C73C2311yescharacteristic
270C2×C22⋊C4×C73C2311yescharacteristic
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C42×C73—42no—
316C2×C42×C73C2311yescharacteristic
317C2×C42×C73C2311yescharacteristic
318C2×C42×C73C2311yescharacteristic
319C2×C42×C73C2311yescharacteristic
320C2×C42×C73C2311yescharacteristic
321C2×C42×C73C2311yescharacteristic
322C2×C42×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—22no—
373C24×C73—41no—
374C24×C73—41no—
375C24×C73—41no—
376C24×C73C2411yescharacteristic
377C24×C73C2411yescharacteristic
378C24×C73C2411yescharacteristic
379C24×C73C2411yescharacteristic
380C24×C73C2411yescharacteristic
381C24×C73C2411yescharacteristic
382C2×D4×C73—22no—
383C2×D4×C73—22no—
384C2×D4×C73—22no—
385C2×D4×C73—22no—
386C2×D4×C73—22no—
387C2×D4×C73—22no—
388C2×D4×C73—22no—
389C2×D4×C73—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—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#4114yes—
418C22×C4×C73—22no—
419C22×C4×C73—22no—
420C22×C4×C73—22no—
421C22×C4×C73—22no—
422C22×C4×C73—22no—
423C22×C4×C73—22no—
424C22×C4×C73—22no—
425C22×C4×C73—22no—
426C22×C4×C73—22no—
427C22×C4×C73—22no—
428C22×C4×C73—22no—
429C22×C4×C73—22no—
430C22×C4×C73—22no—
431C22×C4×C73—22no—
432C22×C4×C73—22no—
433C22×C4×C73—22no—
434C22×C4×C73—22no—
435C22×C4×C73—41no—
436C22×C4×C73—41no—
437C22×C4×C73—41no—
438C22×C4×C73—41no—
439C22×C4×C73—41no—
440C22×C4×C73—41no—
441C22×C4×C73—41no—
442C22×C4×C73—41no—
443C22×C4×C73—41no—
444C22×C4×C73—41no—
445C22×C4×C73—41no—
446C22×C4×C73—41no—
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×C73C2411yescharacteristic
458C22×C4×C73C2411yescharacteristic
459C22×C4×C73C2411yescharacteristic
460C22×C4×C73C2411yescharacteristic
461C22×C4×C73C2411yescharacteristic
462C22×C4×C73C2411yescharacteristic
463C22×C4×C73C2411yescharacteristic
464C22×C4×C73C2411yescharacteristic
465C22×C4×C73C2411yescharacteristic
466C22×C4×C73C2411yescharacteristic
467C22×C4×C73C2411yescharacteristic
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
482C4⋊C4×C73—22no—
483C4⋊C4×C73—22no—
484C4⋊C4×C73—22no—
485C4⋊C4×C73—22no—
486C4⋊C4×C73—22no—
487C4⋊C4×C73—22no—
488C4⋊C4×C73—22no—
489C4⋊C4×C73—22no—
490C4⋊C4×C73—22no—
491C4⋊C4×C73—22no—
492C4⋊C4×C73—41no—
493C4⋊C4×C73—41no—
494C4⋊C4×C73—41no—
495C4⋊C4×C73—41no—
496C4⋊C4×C73—41no—
497C4⋊C4×C73—41no—
498C4⋊C4×C73—41no—
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—
508C22⋊C4×C73—22no—
509C22⋊C4×C73—22no—
510C22⋊C4×C73—22no—
511C22⋊C4×C73—22no—
512C22⋊C4×C73—22no—
513C22⋊C4×C73—22no—
514C22⋊C4×C73—22no—
515C22⋊C4×C73—22no—
516C22⋊C4×C73—22no—
517C22⋊C4×C73—22no—
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—22no—
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#4114yes—
557C22⋊C4×C73#4114yes—
558C42×C73—22no—
559C42×C73—22no—
560C42×C73—22no—
561C42×C73—22no—
562C42×C73—22no—
563C42×C73—41no—
564C42×C73—41no—
565C42×C73—41no—
566C42×C73—41no—
567C42×C73—41no—
568C42×C73—41no—
569C42×C73—41no—
570C42×C73—41no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73—21no—
582C23×C73—21no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—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—44no—
609C23×C73—44no—
610C23×C73—44no—
611C23×C73—44no—
612C23×C73—82no—
613C23×C73—82no—
614C23×C73—82no—
615C23×C73C2×#4112yes—
616C23×C73C2×#4112yes—
617C23×C73C2×#4112yes—
618C23×C73C2×#4112yes—
619C23×C73H(5,𝔽2)12yes—
620C23×C73C2511yescharacteristic
621D4×C73—28no—
622D4×C73—44no—
623D4×C73—44no—
624D4×C73—44no—
625D4×C73—44no—
626D4×C73—44no—
627D4×C73—82no—
628D4×C73—82no—
629D4×C73—82no—
630D4×C73—82no—
631D4×C73—82no—
632D4×C73—82no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—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—44no—
702C2×C4×C73—44no—
703C2×C4×C73—44no—
704C2×C4×C73—44no—
705C2×C4×C73—44no—
706C2×C4×C73—44no—
707C2×C4×C73—82no—
708C2×C4×C73—82no—
709C2×C4×C73—82no—
710C2×C4×C73—82no—
711C2×C4×C73—82no—
712C2×C4×C73—82no—
713C2×C4×C73—82no—
714C2×C4×C73C2×#4112yes—
715C2×C4×C73C2×#4112yes—
716C2×C4×C73C2×#4112yes—
717C2×C4×C73C2×#4112yes—
718C2×C4×C73C2×#4112yes—
719C2×C4×C73H(5,𝔽2)12yes—
720C2×C4×C73H(5,𝔽2)12yes—
721C22×C73—22no—
722C22×C73—22no—
723C22×C73—22no—
724C22×C73—22no—
725C22×C73—22no—
726C22×C73—22no—
727C22×C73—22no—
728C22×C73—22no—
729C22×C73—22no—
730C22×C73—22no—
731C22×C73—22no—
732C22×C73—22no—
733C22×C73—41no—
734C22×C73—41no—
735C22×C73—41no—
736C22×C73—41no—
737C22×C73—41no—
738C22×C73—41no—
739C22×C73—41no—
740C22×C73—41no—
741C22×C73—41no—
742C22×C73—41no—
743C22×C73—41no—
744C22×C73—41no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73—41no—
748C22×C73—41no—
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—88no—
763C22×C73#55314yes—
764C22×C73C22×#4111yescharacteristic
765C22×C73C22×#4111yescharacteristic
766C22×C73C22×#4111yescharacteristic
767C22×C73C2×H(5,𝔽2)11yescharacteristic
768C22×C73C2×H(5,𝔽2)11yescharacteristic
769C22×C73C2×H(5,𝔽2)11yescharacteristic
770C22×C73#58511yescharacteristic
771C4×C73—22no—
772C4×C73—22no—
773C4×C73—22no—
774C4×C73—22no—
775C4×C73—22no—
776C4×C73—22no—
777C4×C73—22no—
778C4×C73—41no—
779C4×C73—41no—
780C4×C73—41no—
781C4×C73—41no—
782C4×C73—41no—
783C4×C73—41no—
784C4×C73—41no—
785C4×C73—41no—
786C4×C73—41no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73—41no—
795C4×C73—41no—
796#59685C7311yesmaximal, characteristic, direct product factor, Sylow
797C2×C73—24no—
798C2×C73—42no—
799C2×C73—42no—
800C2×C73—81no—
801C2×C73—81no—
802C2×C73—81no—
803C2×C73C2×#55311yescharacteristic
804C2×C73#348111yescharacteristic
805C2×C73#348111yescharacteristic
806C2×C73#349411yescharacteristic
807C2×C73#351311yescharacteristic
808C2×C73#351411yescharacteristic
809C2×C73#353711yescharacteristic
810#2801C2×C7311yescharacteristic, complemented
811#2797C2×C7311yescharacteristic, complemented
812#2790C2×C7311yescharacteristic, complemented
813#2703C2×C7311yescharacteristic, complemented
814#2602C2×C7311yescharacteristic, complemented
815#2598C2×C7311yescharacteristic, complemented
816#2597C2×C7311yescharacteristic, complemented
817#2591C2×C7311yescharacteristic, complemented
818#2576C2×C7311yescharacteristic, complemented
819#2543C2×C7311yescharacteristic, complemented
820#2531C2×C7311yescharacteristic, complemented
821#2526C2×C7311yescharacteristic, complemented
822#2525C2×C7311yescharacteristic, complemented
823#2510C2×C7311yescharacteristic, complemented
824#2505C2×C7311yescharacteristic, complemented
825#2500C2×C7311yescharacteristic, complemented
826#2464C2×C7311yescharacteristic, complemented
827#2443C2×C7311yescharacteristic, complemented
828#2424C2×C7311yescharacteristic, complemented
829#2424C2×C7311yescharacteristic, complemented
830#2424C2×C7311yescharacteristic, complemented
831#2412C2×C7311yescharacteristic, complemented
832#2374C2×C7311yescharacteristic, complemented
833#2364C2×C7311yescharacteristic, complemented
834#2361C2×C7311yescharacteristic, complemented
835#2358C2×C7311yescharacteristic, complemented
836#2358C2×C7311yescharacteristic, complemented
837D4×C4⋊C4C2×C7311yescharacteristic, complemented
838C4×#121C2×C7311yescharacteristic, complemented
839#2290C2×C7311yescharacteristic, complemented
840C2×#388C2×C7311yescharacteristic, complemented
841C73#5968511yescharacteristic, direct product factor, Sylow
842C2×#123C22×C7311yescharacteristic
843C2×#123C22×C7311yescharacteristic, complemented
844C2×#121C22×C7311yescharacteristic
845C2×#121C22×C7311yescharacteristic
846C2×#121C22×C7311yescharacteristic
847C2×#121C22×C7311yescharacteristic
848C2×#121C22×C7311yescharacteristic
849C2×#121C22×C7311yescharacteristic
850C2×#120C22×C7311yescharacteristic
851C2×#120C22×C7311yescharacteristic
852C2×#120C22×C7311yescharacteristic
853C2×C4×D4C22×C7311yescharacteristic
854C2×C4×D4C22×C7311yescharacteristic
855C2×C4×D4C22×C7311yescharacteristic
856C2×C4×D4C22×C7311yescharacteristic
857C2×C4×D4C22×C7311yescharacteristic
858C2×C4×D4C22×C7311yescharacteristic
859C2×C4×D4C22×C7311yescharacteristic
860C2×C4×D4C22×C7311yescharacteristic, complemented
861C2×#117C22×C7311yescharacteristic, complemented
862C22×C4⋊C4C22×C7311yescharacteristic
863C22×C4⋊C4C22×C7311yescharacteristic, complemented
864C22×C22⋊C4C22×C7311yescharacteristic
865C22×C22⋊C4C22×C7311yescharacteristic
866C22×C22⋊C4C22×C7311yescharacteristic
867C22×C22⋊C4C22×C7311yescharacteristic
868C22×C42C22×C7311yescharacteristic
869#401C22×C7311yescharacteristic, complemented
870#400C22×C7311yescharacteristic, complemented
871#400C22×C7311yescharacteristic, complemented
872#400C22×C7311yescharacteristic, complemented
873#400C22×C7311yescharacteristic, complemented
874#399C22×C7311yescharacteristic, complemented
875#398C22×C7311yescharacteristic, complemented
876#398C22×C7311yescharacteristic, complemented
877#398C22×C7311yescharacteristic, complemented
878#397C22×C7311yescharacteristic
879#397C22×C7311yescharacteristic
880#397C22×C7311yescharacteristic, complemented
881#397C22×C7311yescharacteristic, complemented
882#397C22×C7311yescharacteristic, complemented
883#397C22×C7311yescharacteristic, complemented
884#396C22×C7311yescharacteristic
885#396C22×C7311yescharacteristic
886#396C22×C7311yescharacteristic
887#394C22×C7311yescharacteristic
888#394C22×C7311yescharacteristic
889#394C22×C7311yescharacteristic
890#394C22×C7311yescharacteristic
891#394C22×C7311yescharacteristic
892#394C22×C7311yescharacteristic
893#394C22×C7311yescharacteristic
894#394C22×C7311yescharacteristic
895#394C22×C7311yescharacteristic, complemented
896#394C22×C7311yescharacteristic, complemented
897#392C22×C7311yescharacteristic
898#392C22×C7311yescharacteristic
899#392C22×C7311yescharacteristic
900#392C22×C7311yescharacteristic, complemented
901#390C22×C7311yescharacteristic
902#390C22×C7311yescharacteristic
903#390C22×C7311yescharacteristic
904#390C22×C7311yescharacteristic
905#390C22×C7311yescharacteristic
906#390C22×C7311yescharacteristic, complemented
907#389C22×C7311yescharacteristic, complemented
908#389C22×C7311yescharacteristic, complemented
909#389C22×C7311yescharacteristic, complemented
910#389C22×C7311yescharacteristic, complemented
911#388C22×C7311yescharacteristic
912#388C22×C7311yescharacteristic
913#388C22×C7311yescharacteristic
914#388C22×C7311yescharacteristic
915#388C22×C7311yescharacteristic
916#388C22×C7311yescharacteristic
917#388C22×C7311yescharacteristic
918#388C22×C7311yescharacteristic
919#388C22×C7311yescharacteristic
920#388C22×C7311yescharacteristic
921#388C22×C7311yescharacteristic
922#388C22×C7311yescharacteristic
923#388C22×C7311yescharacteristic
924#388C22×C7311yescharacteristic
925#388C22×C7311yescharacteristic
926#388C22×C7311yescharacteristic, complemented
927#388C22×C7311yescharacteristic, complemented
928#388C22×C7311yescharacteristic, complemented
929#388C22×C7311yescharacteristic, complemented
930#388C22×C7311yescharacteristic, complemented
931#388C22×C7311yescharacteristic, complemented
932#388C22×C7311yescharacteristic, complemented
933#388C22×C7311yescharacteristic, complemented
934#388C22×C7311yescharacteristic, complemented
935#388C22×C7311yescharacteristic, complemented
936#388C22×C7311yescharacteristic, complemented
937#387C22×C7311yescharacteristic, complemented
938#387C22×C7311yescharacteristic, complemented
939#387C22×C7311yescharacteristic, complemented
940#387C22×C7311yescharacteristic, complemented
941#387C22×C7311yescharacteristic, complemented
942#387C22×C7311yescharacteristic, complemented
943#387C22×C7311yescharacteristic, complemented
944#387C22×C7311yescharacteristic, complemented
945#386C22×C7311yescharacteristic
946#386C22×C7311yescharacteristic
947#386C22×C7311yescharacteristic
948#386C22×C7311yescharacteristic
949#386C22×C7311yescharacteristic
950#386C22×C7311yescharacteristic
951#386C22×C7311yescharacteristic
952#386C22×C7311yescharacteristic
953#386C22×C7311yescharacteristic
954#386C22×C7311yescharacteristic
955#386C22×C7311yescharacteristic
956#386C22×C7311yescharacteristic
957#386C22×C7311yescharacteristic
958#386C22×C7311yescharacteristic
959#386C22×C7311yescharacteristic
960#386C22×C7311yescharacteristic, complemented
961#386C22×C7311yescharacteristic, complemented
962#386C22×C7311yescharacteristic, complemented
963#386C22×C7311yescharacteristic, complemented
964#385C22×C7311yescharacteristic
965#385C22×C7311yescharacteristic
966#385C22×C7311yescharacteristic
967#385C22×C7311yescharacteristic
968#385C22×C7311yescharacteristic
969#385C22×C7311yescharacteristic
970#385C22×C7311yescharacteristic
971#385C22×C7311yescharacteristic
972#385C22×C7311yescharacteristic, complemented
973#385C22×C7311yescharacteristic, complemented
974#385C22×C7311yescharacteristic, complemented
975#384C22×C7311yescharacteristic, complemented
976#383C22×C7311yescharacteristic, complemented
977#382C22×C7311yescharacteristic, complemented
978#381C22×C7311yescharacteristic
979#380C22×C7311yescharacteristic
980#380C22×C7311yescharacteristic
981#380C22×C7311yescharacteristic, complemented
982C4×C4⋊C4C22×C7311yescharacteristic, complemented
983C4×C4⋊C4C22×C7311yescharacteristic, complemented
984C4×C4⋊C4C22×C7311yescharacteristic, complemented
985C4×C22⋊C4C22×C7311yescharacteristic
986C4×C22⋊C4C22×C7311yescharacteristic
987C4×C22⋊C4C22×C7311yescharacteristic
988C4×C22⋊C4C22×C7311yescharacteristic
989C4×C22⋊C4C22×C7311yescharacteristic, complemented
990C4×C22⋊C4C22×C7311yescharacteristic, complemented
991C4×C22⋊C4C22×C7311yescharacteristic, complemented
992C4×C22⋊C4C22×C7311yescharacteristic, complemented
993C4×C22⋊C4C22×C7311yescharacteristic, complemented
994#376C22×C7311yescharacteristic, complemented
995C2×#95C22×C7311yescharacteristic
996C2×#95C22×C7311yescharacteristic
997C25C23×C7311yescharacteristic
998C22×D4C23×C7311yescharacteristic
999C22×D4C23×C7311yescharacteristic
1000C22×D4C23×C7311yescharacteristic
1001C22×D4C23×C7311yescharacteristic
1002C22×D4C23×C7311yescharacteristic
1003C22×D4C23×C7311yescharacteristic
1004C22×D4C23×C7311yescharacteristic
1005C22×D4C23×C7311yescharacteristic
1006C22×D4C23×C7311yescharacteristic
1007C22×D4C23×C7311yescharacteristic
1008C22×D4C23×C7311yescharacteristic
1009C22×D4C23×C7311yescharacteristic
1010C23×C4C23×C7311yescharacteristic
1011C23×C4C23×C7311yescharacteristic
1012C23×C4C23×C7311yescharacteristic
1013C23×C4C23×C7311yescharacteristic
1014C23×C4C23×C7311yescharacteristic
1015C23×C4C23×C7311yescharacteristic
1016C23×C4C23×C7311yescharacteristic
1017C23×C4C23×C7311yescharacteristic
1018C23×C4C23×C7311yescharacteristic
1019C23×C4C23×C7311yescharacteristic
1020C23×C4C23×C7311yescharacteristic
1021C23×C4C23×C7311yescharacteristic
1022C23×C4C23×C7311yescharacteristic
1023#123—24no—
1024#123—42no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—42no—
1029#121—42no—
1030#121—42no—
1031#120—24no—
1032#120—24no—
1033#120—42no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—42no—
1037C4×D4—42no—
1038C4×D4—42no—
1039C4×D4—42no—
1040C4×D4—42no—
1041C4×D4—42no—
1042#117—42no—
1043C2×C4⋊C4—42no—
1044C2×C4⋊C4—42no—
1045C2×C4⋊C4C23×C7311yescharacteristic
1046C2×C4⋊C4C23×C7311yescharacteristic
1047C2×C4⋊C4C23×C7311yescharacteristic
1048C2×C4⋊C4C23×C7311yescharacteristic
1049C2×C4⋊C4C23×C7311yescharacteristic
1050C2×C4⋊C4C23×C7311yescharacteristic
1051C2×C4⋊C4C23×C7311yescharacteristic
1052C2×C4⋊C4C23×C7311yescharacteristic
1053C2×C4⋊C4C23×C7311yescharacteristic
1054C2×C4⋊C4C23×C7311yescharacteristic
1055C2×C4⋊C4C23×C7311yescharacteristic
1056C2×C4⋊C4C23×C7311yescharacteristic
1057C2×C4⋊C4C23×C7311yescharacteristic
1058C2×C4⋊C4C23×C7311yescharacteristic
1059C2×C4⋊C4C23×C7311yescharacteristic
1060C2×C4⋊C4C23×C7311yescharacteristic
1061C2×C4⋊C4C23×C7311yescharacteristic
1062C2×C4⋊C4C23×C7311yescharacteristic
1063C2×C4⋊C4C23×C7311yescharacteristic
1064C2×C4⋊C4C23×C7311yescharacteristic
1065C2×C4⋊C4C23×C7311yescharacteristic
1066C2×C4⋊C4C23×C7311yescharacteristic
1067C2×C4⋊C4C23×C7311yescharacteristic
1068C2×C4⋊C4C23×C7311yescharacteristic
1069C2×C4⋊C4C23×C7311yescharacteristic
1070C2×C4⋊C4C23×C7311yescharacteristic
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—42no—
1073C2×C22⋊C4—42no—
1074C2×C22⋊C4—42no—
1075C2×C22⋊C4C23×C7311yescharacteristic
1076C2×C22⋊C4C23×C7311yescharacteristic
1077C2×C22⋊C4C23×C7311yescharacteristic
1078C2×C22⋊C4C23×C7311yescharacteristic
1079C2×C22⋊C4C23×C7311yescharacteristic
1080C2×C22⋊C4C23×C7311yescharacteristic
1081C2×C22⋊C4C23×C7311yescharacteristic
1082C2×C22⋊C4C23×C7311yescharacteristic
1083C2×C22⋊C4C23×C7311yescharacteristic
1084C2×C22⋊C4C23×C7311yescharacteristic
1085C2×C22⋊C4C23×C7311yescharacteristic
1086C2×C22⋊C4C23×C7311yescharacteristic
1087C2×C22⋊C4C23×C7311yescharacteristic
1088C2×C22⋊C4C23×C7311yescharacteristic
1089C2×C22⋊C4C23×C7311yescharacteristic
1090C2×C22⋊C4C23×C7311yescharacteristic
1091C2×C22⋊C4C23×C7311yescharacteristic
1092C2×C22⋊C4C23×C7311yescharacteristic
1093C2×C22⋊C4C23×C7311yescharacteristic
1094C2×C22⋊C4C23×C7311yescharacteristic
1095C2×C22⋊C4C23×C7311yescharacteristic
1096C2×C22⋊C4C23×C7311yescharacteristic
1097C2×C22⋊C4C23×C7311yescharacteristic
1098C2×C22⋊C4C23×C7311yescharacteristic
1099C2×C22⋊C4C23×C7311yescharacteristic
1100C2×C22⋊C4C23×C7311yescharacteristic
1101C2×C22⋊C4C23×C7311yescharacteristic
1102C2×C22⋊C4C23×C7311yescharacteristic
1103C2×C22⋊C4C23×C7311yescharacteristic
1104C2×C22⋊C4C23×C7311yescharacteristic
1105C2×C22⋊C4C23×C7311yescharacteristic
1106C2×C22⋊C4C23×C7311yescharacteristic
1107C2×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×C42—42no—
1126C2×C42C23×C7311yescharacteristic
1127C2×C42C23×C7311yescharacteristic
1128C2×C42C23×C7311yescharacteristic
1129C2×C42C23×C7311yescharacteristic
1130C2×C42C23×C7311yescharacteristic
1131C2×C42C23×C7311yescharacteristic
1132C2×C42C23×C7311yescharacteristic
1133C2×C42C23×C7311yescharacteristic
1134C2×C42C23×C7311yescharacteristic
1135C2×C42C23×C7311yescharacteristic
1136C2×C42C23×C7311yescharacteristic
1137C2×C42C23×C7311yescharacteristic
1138C2×C42C23×C7311yescharacteristic
1139#95C23×C7311yescharacteristic
1140#95C23×C7311yescharacteristic
1141#95C23×C7311yescharacteristic
1142#95C23×C7311yescharacteristic
1143#95C23×C7311yescharacteristic
1144#95C23×C7311yescharacteristic
1145#95C23×C7311yescharacteristic
1146#95C23×C7311yescharacteristic
1147#95C23×C7311yescharacteristic
1148#95C23×C7311yescharacteristic
1149#95C23×C7311yescharacteristic
1150#95C23×C7311yescharacteristic
1151#95C23×C7311yescharacteristic
1152#95C23×C7311yescharacteristic
1153#95C23×C7311yescharacteristic
1154#95C23×C7311yescharacteristic
1155#95C23×C7311yescharacteristic
1156#95C23×C7311yescharacteristic
1157#95C23×C7311yescharacteristic
1158#95C23×C7311yescharacteristic
1159#95C23×C7311yescharacteristic
1160#95C23×C7311yescharacteristic
1161#95C23×C7311yescharacteristic
1162#95C23×C7311yescharacteristic
1163#95C23×C7311yescharacteristic
1164#95C23×C7311yescharacteristic
1165#95C23×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
1179C24—22no—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24C24×C7311yescharacteristic
1187C24C24×C7311yescharacteristic
1188C24C24×C7311yescharacteristic
1189C24C24×C7311yescharacteristic
1190C24C24×C7311yescharacteristic
1191C24C24×C7311yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4#41×C7314yes—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4C24×C7311yescharacteristic
1268C22×C4C24×C7311yescharacteristic
1269C22×C4C24×C7311yescharacteristic
1270C22×C4C24×C7311yescharacteristic
1271C22×C4C24×C7311yescharacteristic
1272C22×C4C24×C7311yescharacteristic
1273C22×C4C24×C7311yescharacteristic
1274C22×C4C24×C7311yescharacteristic
1275C22×C4C24×C7311yescharacteristic
1276C22×C4C24×C7311yescharacteristic
1277C22×C4C24×C7311yescharacteristic
1278C22×C4C24×C7311yescharacteristic
1279C22×C4C24×C7311yescharacteristic
1280C22×C4C24×C7311yescharacteristic
1281C22×C4C24×C7311yescharacteristic
1282C22×C4C24×C7311yescharacteristic
1283C22×C4C24×C7311yescharacteristic
1284C22×C4C24×C7311yescharacteristic
1285C22×C4C24×C7311yescharacteristic
1286C22×C4C24×C7311yescharacteristic
1287C22×C4C24×C7311yescharacteristic
1288C22×C4C24×C7311yescharacteristic
1289C22×C4C24×C7311yescharacteristic
1290C22×C4C24×C7311yescharacteristic
1291C22×C4C24×C7311yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4#41×C7314yes—
1367C22⋊C4#41×C7314yes—
1368C42—22no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—82no—
1423C23—82no—
1424C23—82no—
1425C23C2×#41×C7312yes—
1426C23C2×#41×C7312yes—
1427C23C2×#41×C7312yes—
1428C23C2×#41×C7312yes—
1429C23H(5,𝔽2)×C7312yes—
1430C23C25×C7311yescharacteristic
1431D4—28no—
1432D4—44no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—44no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
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—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—82no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4C2×#41×C7312yes—
1525C2×C4C2×#41×C7312yes—
1526C2×C4C2×#41×C7312yes—
1527C2×C4C2×#41×C7312yes—
1528C2×C4C2×#41×C7312yes—
1529C2×C4H(5,𝔽2)×C7312yes—
1530C2×C4H(5,𝔽2)×C7312yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—88no—
1573C22#553×C7314yes—
1574C22C22×#41×C7311yescharacteristic
1575C22C22×#41×C7311yescharacteristic
1576C22C22×#41×C7311yescharacteristic
1577C22C2×H(5,𝔽2)×C7311yescharacteristic
1578C22C2×H(5,𝔽2)×C7311yescharacteristic
1579C22C2×H(5,𝔽2)×C7311yescharacteristic
1580C22#585×C7311yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C2—24no—
1607C2—42no—
1608C2—42no—
1609C2—81no—
1610C2—81no—
1611C2—81no—
1612C2C2×#553×C7311yescharacteristic
1613C2C73×#348111yescharacteristic
1614C2C73×#348111yescharacteristic
1615C2C73×#349411yescharacteristic
1616C2C73×#351311yescharacteristic
1617C2C73×#351411yescharacteristic
1618C2C73×#353711yescharacteristic
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×#2801C2semidirect
2. C73×#2797C2semidirect
3. C73×#2790C2semidirect
4. C73×#2703C2semidirect
5. C73×#2602C2semidirect
6. C73×#2598C2semidirect
7. C73×#2597C2semidirect
8. C73×#2591C2semidirect
9. C73×#2576C2semidirect
10. C73×#2543C2semidirect
11. C73×#2531C2semidirect
12. C73×#2526C2semidirect
13. C73×#2525C2semidirect
14. C73×#2510C2semidirect
15. C73×#2505C2semidirect
16. C73×#2500C2semidirect
17. C73×#2464C2semidirect
18. C73×#2443C2semidirect
19. C73×#2424C2semidirect
20. C73×#2424C2semidirect
21. C73×#2424C2semidirect
22. C73×#2412C2semidirect
23. C73×#2374C2semidirect
24. C73×#2364C2semidirect
25. C73×#2361C2semidirect
26. C73×#2358C2semidirect
27. C73×#2358C2semidirect
28. D4×C4⋊C4×C73C2semidirect
29. C4×#121×C73C2semidirect
30. C73×#2290C2semidirect
31. C2×#388×C73C2semidirect
33. C2×#123×C73C22semidirect
50. C2×C4×D4×C73C22semidirect
51. C2×#117×C73C22semidirect
53. C22×C4⋊C4×C73C22semidirect
59. #401×C73C22semidirect
60. #400×C73C22semidirect
61. #400×C73C22semidirect
62. #400×C73C22semidirect
63. #400×C73C22semidirect
64. #399×C73C22semidirect
65. #398×C73C22semidirect
66. #398×C73C22semidirect
67. #398×C73C22semidirect
70. #397×C73C22semidirect
71. #397×C73C22semidirect
72. #397×C73C22semidirect
73. #397×C73C22semidirect
85. #394×C73C22semidirect
86. #394×C73C22semidirect
90. #392×C73C22semidirect
96. #390×C73C22semidirect
97. #389×C73C22semidirect
98. #389×C73C22semidirect
99. #389×C73C22semidirect
100. #389×C73C22semidirect
116. #388×C73C22semidirect
117. #388×C73C22semidirect
118. #388×C73C22semidirect
119. #388×C73C22semidirect
120. #388×C73C22semidirect
121. #388×C73C22semidirect
122. #388×C73C22semidirect
123. #388×C73C22semidirect
124. #388×C73C22semidirect
125. #388×C73C22semidirect
126. #388×C73C22semidirect
127. #387×C73C22semidirect
128. #387×C73C22semidirect
129. #387×C73C22semidirect
130. #387×C73C22semidirect
131. #387×C73C22semidirect
132. #387×C73C22semidirect
133. #387×C73C22semidirect
134. #387×C73C22semidirect
150. #386×C73C22semidirect
151. #386×C73C22semidirect
152. #386×C73C22semidirect
153. #386×C73C22semidirect
162. #385×C73C22semidirect
163. #385×C73C22semidirect
164. #385×C73C22semidirect
165. #384×C73C22semidirect
166. #383×C73C22semidirect
167. #382×C73C22semidirect
171. #380×C73C22semidirect
172. C4×C4⋊C4×C73C22semidirect
173. C4×C4⋊C4×C73C22semidirect
174. C4×C4⋊C4×C73C22semidirect
179. C4×C22⋊C4×C73C22semidirect
180. C4×C22⋊C4×C73C22semidirect
181. C4×C22⋊C4×C73C22semidirect
182. C4×C22⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. #376×C73C22semidirect
796. #59685C73direct (N × H)
810. #2801C2×C73semidirect
811. #2797C2×C73semidirect
812. #2790C2×C73semidirect
813. #2703C2×C73semidirect
814. #2602C2×C73semidirect
815. #2598C2×C73semidirect
816. #2597C2×C73semidirect
817. #2591C2×C73semidirect
818. #2576C2×C73semidirect
819. #2543C2×C73semidirect
820. #2531C2×C73semidirect
821. #2526C2×C73semidirect
822. #2525C2×C73semidirect
823. #2510C2×C73semidirect
824. #2505C2×C73semidirect
825. #2500C2×C73semidirect
826. #2464C2×C73semidirect
827. #2443C2×C73semidirect
828. #2424C2×C73semidirect
829. #2424C2×C73semidirect
830. #2424C2×C73semidirect
831. #2412C2×C73semidirect
832. #2374C2×C73semidirect
833. #2364C2×C73semidirect
834. #2361C2×C73semidirect
835. #2358C2×C73semidirect
836. #2358C2×C73semidirect
837. D4×C4⋊C4C2×C73semidirect
838. C4×#121C2×C73semidirect
839. #2290C2×C73semidirect
840. C2×#388C2×C73semidirect
841. C73#59685direct (N × H)
843. C2×#123C22×C73semidirect
860. C2×C4×D4C22×C73semidirect
861. C2×#117C22×C73semidirect
863. C22×C4⋊C4C22×C73semidirect
869. #401C22×C73semidirect
870. #400C22×C73semidirect
871. #400C22×C73semidirect
872. #400C22×C73semidirect
873. #400C22×C73semidirect
874. #399C22×C73semidirect
875. #398C22×C73semidirect
876. #398C22×C73semidirect
877. #398C22×C73semidirect
880. #397C22×C73semidirect
881. #397C22×C73semidirect
882. #397C22×C73semidirect
883. #397C22×C73semidirect
895. #394C22×C73semidirect
896. #394C22×C73semidirect
900. #392C22×C73semidirect
906. #390C22×C73semidirect
907. #389C22×C73semidirect
908. #389C22×C73semidirect
909. #389C22×C73semidirect
910. #389C22×C73semidirect
926. #388C22×C73semidirect
927. #388C22×C73semidirect
928. #388C22×C73semidirect
929. #388C22×C73semidirect
930. #388C22×C73semidirect
931. #388C22×C73semidirect
932. #388C22×C73semidirect
933. #388C22×C73semidirect
934. #388C22×C73semidirect
935. #388C22×C73semidirect
936. #388C22×C73semidirect
937. #387C22×C73semidirect
938. #387C22×C73semidirect
939. #387C22×C73semidirect
940. #387C22×C73semidirect
941. #387C22×C73semidirect
942. #387C22×C73semidirect
943. #387C22×C73semidirect
944. #387C22×C73semidirect
960. #386C22×C73semidirect
961. #386C22×C73semidirect
962. #386C22×C73semidirect
963. #386C22×C73semidirect
972. #385C22×C73semidirect
973. #385C22×C73semidirect
974. #385C22×C73semidirect
975. #384C22×C73semidirect
976. #383C22×C73semidirect
977. #382C22×C73semidirect
981. #380C22×C73semidirect
982. C4×C4⋊C4C22×C73semidirect
983. C4×C4⋊C4C22×C73semidirect
984. C4×C4⋊C4C22×C73semidirect
989. C4×C22⋊C4C22×C73semidirect
990. C4×C22⋊C4C22×C73semidirect
991. C4×C22⋊C4C22×C73semidirect
992. C4×C22⋊C4C22×C73semidirect
993. C4×C22⋊C4C22×C73semidirect
994. #376C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28012
C73×#27972
C73×#27902
C73×#27032
C73×#26022
C73×#25982
C73×#25972
C73×#25912
C73×#25762
C73×#25432
C73×#25312
C73×#25262
C73×#25252
C73×#25102
C73×#25052
C73×#25002
C73×#24642
C73×#24432
C73×#24242
C73×#24122
C73×#23742
C73×#23642
C73×#23612
C73×#23582
D4×C4⋊C4×C732
C4×#121×C732
C73×#22902
C2×#388×C732
#5968573