Finite Group Databasebeta

← C73×#60022 #32969426

Subgroups — C73×#60022 #32969426

Order 18688.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2746C211yesmaximal, characteristic, complemented
2C73×#2701C211yesmaximal, characteristic, complemented
3C73×#2687C211yesmaximal, characteristic, complemented
4C73×#2678C211yesmaximal, characteristic
5C73×#2601C211yesmaximal, characteristic, complemented
6C73×#2600C211yesmaximal, characteristic, complemented
7C73×#2598C211yesmaximal, characteristic, complemented
8C73×#2587C211yesmaximal, characteristic, complemented
9C73×#2580C211yesmaximal, characteristic, complemented
10C73×#2577C211yesmaximal, characteristic, complemented
11C73×#2576C211yesmaximal, characteristic, complemented
12C73×#2534C211yesmaximal, characteristic, complemented
13C73×#2527C211yesmaximal, characteristic, complemented
14C73×#2526C211yesmaximal, characteristic, complemented
15C73×#2522C211yesmaximal, characteristic, complemented
16C73×#2516C211yesmaximal, characteristic, complemented
17C73×#2515C211yesmaximal, characteristic, complemented
18C73×#2482C211yesmaximal, characteristic, complemented
19C73×#2472C211yesmaximal, characteristic, complemented
20C73×#2468C211yesmaximal, characteristic, complemented
21C73×#2467C211yesmaximal, characteristic, complemented
22C73×#2459C211yesmaximal, characteristic, complemented
23C73×#2374C211yesmaximal, characteristic, complemented
24C73×#2367C211yesmaximal, characteristic, complemented
25C73×#2362C211yesmaximal, characteristic, complemented
26C73×#2358C211yesmaximal, characteristic, complemented
27C73×#2358C211yesmaximal, characteristic, complemented
28C73×#2342C211yesmaximal, characteristic, complemented
29C4×#123×C73C211yesmaximal, characteristic, complemented
30C4×#121×C73C211yesmaximal, characteristic, complemented
31C73×#2290C211yesmaximal, characteristic, complemented
32C2×#126×C73C2211yescharacteristic, complemented
33C2×#124×C73C2211yescharacteristic
34C2×#123×C73C2211yescharacteristic
35C2×#123×C73C2211yescharacteristic
36C2×C22⋊Q8×C73C2211yescharacteristic
37C2×#121×C73C2211yescharacteristic
38C2×#120×C73C2211yescharacteristic
39C2×#120×C73C2211yescharacteristic
40C2×C4×Q8×C73C2211yescharacteristic, complemented
41C2×C4×D4×C73C2211yescharacteristic
42C2×C4×D4×C73C2211yescharacteristic
43C2×C4×D4×C73C2211yescharacteristic
44C2×C4×D4×C73C2211yescharacteristic
45C2×C4×D4×C73C2211yescharacteristic
46C2×C4×D4×C73C2211yescharacteristic, complemented
47C2×#117×C73C2211yescharacteristic
48C2×#117×C73C2211yescharacteristic
49C22×C22⋊C4×C73C2211yescharacteristic
50C22×C22⋊C4×C73C2211yescharacteristic
51C22×C22⋊C4×C73C2211yescharacteristic
52C22×C42×C73C2211yescharacteristic, complemented
53#401×C73C2211yescharacteristic, complemented
54#400×C73C2211yescharacteristic, complemented
55#400×C73C2211yescharacteristic, complemented
56#400×C73C2211yescharacteristic, complemented
57#399×C73C2211yescharacteristic
58#399×C73C2211yescharacteristic
59#399×C73C2211yescharacteristic, complemented
60#398×C73C2211yescharacteristic, complemented
61#398×C73C2211yescharacteristic, complemented
62#398×C73C2211yescharacteristic, complemented
63#398×C73C2211yescharacteristic, complemented
64#397×C73C2211yescharacteristic
65#397×C73C2211yescharacteristic
66#397×C73C2211yescharacteristic
67#397×C73C2211yescharacteristic
68#397×C73C2211yescharacteristic, complemented
69#396×C73C2211yescharacteristic
70#396×C73C2211yescharacteristic
71#396×C73C2211yescharacteristic
72#396×C73C2211yescharacteristic, complemented
73#394×C73C2211yescharacteristic
74#394×C73C2211yescharacteristic
75#394×C73C2211yescharacteristic
76#394×C73C2211yescharacteristic
77#394×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
79#394×C73C2211yescharacteristic, complemented
80#394×C73C2211yescharacteristic, complemented
81#393×C73C2211yescharacteristic
82#393×C73C2211yescharacteristic, complemented
83#392×C73C2211yescharacteristic
84#392×C73C2211yescharacteristic
85#391×C73C2211yescharacteristic, complemented
86#391×C73C2211yescharacteristic, complemented
87#390×C73C2211yescharacteristic
88#390×C73C2211yescharacteristic
89#390×C73C2211yescharacteristic
90#390×C73C2211yescharacteristic
91#390×C73C2211yescharacteristic
92#389×C73C2211yescharacteristic, complemented
93#389×C73C2211yescharacteristic, complemented
94#389×C73C2211yescharacteristic, complemented
95#389×C73C2211yescharacteristic, complemented
96#388×C73C2211yescharacteristic
97#388×C73C2211yescharacteristic
98#388×C73C2211yescharacteristic
99#388×C73C2211yescharacteristic
100#388×C73C2211yescharacteristic
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, complemented
114#388×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic, complemented
116#388×C73C2211yescharacteristic, complemented
117#388×C73C2211yescharacteristic, complemented
118#388×C73C2211yescharacteristic, complemented
119#388×C73C2211yescharacteristic, complemented
120#388×C73C2211yescharacteristic, complemented
121#387×C73C2211yescharacteristic, complemented
122#387×C73C2211yescharacteristic, complemented
123#387×C73C2211yescharacteristic, complemented
124#387×C73C2211yescharacteristic, complemented
125#387×C73C2211yescharacteristic, complemented
126#387×C73C2211yescharacteristic, complemented
127#387×C73C2211yescharacteristic, complemented
128#387×C73C2211yescharacteristic, complemented
129#387×C73C2211yescharacteristic, complemented
130#387×C73C2211yescharacteristic, complemented
131#387×C73C2211yescharacteristic, complemented
132#387×C73C2211yescharacteristic, complemented
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#386×C73C2211yescharacteristic
142#386×C73C2211yescharacteristic
143#386×C73C2211yescharacteristic
144#386×C73C2211yescharacteristic, complemented
145#385×C73C2211yescharacteristic
146#385×C73C2211yescharacteristic
147#385×C73C2211yescharacteristic
148#385×C73C2211yescharacteristic
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic
152#385×C73C2211yescharacteristic
153#385×C73C2211yescharacteristic, complemented
154#385×C73C2211yescharacteristic, complemented
155#385×C73C2211yescharacteristic, complemented
156#385×C73C2211yescharacteristic, complemented
157#383×C73C2211yescharacteristic, complemented
158#382×C73C2211yescharacteristic, complemented
159#381×C73C2211yescharacteristic
160#381×C73C2211yescharacteristic
161#381×C73C2211yescharacteristic
162#381×C73C2211yescharacteristic, complemented
163#381×C73C2211yescharacteristic, complemented
164#380×C73C2211yescharacteristic
165#380×C73C2211yescharacteristic
166#380×C73C2211yescharacteristic, complemented
167#379×C73C2211yescharacteristic
168#379×C73C2211yescharacteristic
169C4×C4⋊C4×C73C2211yescharacteristic, complemented
170C4×C4⋊C4×C73C2211yescharacteristic, complemented
171C4×C4⋊C4×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
180C4×C22⋊C4×C73C2211yescharacteristic
181C4×C22⋊C4×C73C2211yescharacteristic
182C4×C22⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186#376×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C22×Q8×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C23×C4×C73C2311yescharacteristic
197C23×C4×C73C2311yescharacteristic
198C23×C4×C73C2311yescharacteristic
199C23×C4×C73C2311yescharacteristic
200C23×C4×C73C2311yescharacteristic
201C23×C4×C73C2311yescharacteristic
202C23×C4×C73C2311yescharacteristic
203C23×C4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206#126×C73—42no—
207#124×C73—24no—
208#123×C73—24no—
209#123×C73—24no—
210C22⋊Q8×C73—24no—
211#121×C73—24no—
212#120×C73—24no—
213#120×C73—24no—
214C4×Q8×C73—42no—
215C4×D4×C73—24no—
216C4×D4×C73—42no—
217C4×D4×C73—42no—
218C4×D4×C73—42no—
219C4×D4×C73—42no—
220C4×D4×C73—42no—
221#117×C73—42no—
222#117×C73—42no—
223C2×C4⋊C4×C73C2311yescharacteristic
224C2×C4⋊C4×C73C2311yescharacteristic
225C2×C4⋊C4×C73C2311yescharacteristic
226C2×C4⋊C4×C73C2311yescharacteristic
227C2×C4⋊C4×C73C2311yescharacteristic
228C2×C4⋊C4×C73C2311yescharacteristic
229C2×C4⋊C4×C73C2311yescharacteristic
230C2×C4⋊C4×C73C2311yescharacteristic
231C2×C4⋊C4×C73C2311yescharacteristic
232C2×C4⋊C4×C73C2311yescharacteristic
233C2×C4⋊C4×C73C2311yescharacteristic
234C2×C4⋊C4×C73C2311yescharacteristic
235C2×C4⋊C4×C73C2311yescharacteristic
236C2×C4⋊C4×C73C2311yescharacteristic
237C2×C4⋊C4×C73C2311yescharacteristic
238C2×C4⋊C4×C73C2311yescharacteristic
239C2×C4⋊C4×C73C2311yescharacteristic
240C2×C4⋊C4×C73C2311yescharacteristic
241C2×C4⋊C4×C73C2311yescharacteristic
242C2×C4⋊C4×C73C2311yescharacteristic
243C2×C4⋊C4×C73C2311yescharacteristic
244C2×C4⋊C4×C73C2311yescharacteristic
245C2×C4⋊C4×C73C2311yescharacteristic
246C2×C4⋊C4×C73C2311yescharacteristic
247C2×C4⋊C4×C73C2311yescharacteristic
248C2×C4⋊C4×C73C2311yescharacteristic
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C22⋊C4×C73—24no—
252C2×C22⋊C4×C73—42no—
253C2×C22⋊C4×C73—42no—
254C2×C22⋊C4×C73C2311yescharacteristic
255C2×C22⋊C4×C73C2311yescharacteristic
256C2×C22⋊C4×C73C2311yescharacteristic
257C2×C22⋊C4×C73C2311yescharacteristic
258C2×C22⋊C4×C73C2311yescharacteristic
259C2×C22⋊C4×C73C2311yescharacteristic
260C2×C22⋊C4×C73C2311yescharacteristic
261C2×C22⋊C4×C73C2311yescharacteristic
262C2×C22⋊C4×C73C2311yescharacteristic
263C2×C22⋊C4×C73C2311yescharacteristic
264C2×C22⋊C4×C73C2311yescharacteristic
265C2×C22⋊C4×C73C2311yescharacteristic
266C2×C22⋊C4×C73C2311yescharacteristic
267C2×C22⋊C4×C73C2311yescharacteristic
268C2×C22⋊C4×C73C2311yescharacteristic
269C2×C22⋊C4×C73C2311yescharacteristic
270C2×C22⋊C4×C73C2311yescharacteristic
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C42×C73—42no—
303C2×C42×C73C2311yescharacteristic
304C2×C42×C73C2311yescharacteristic
305C2×C42×C73C2311yescharacteristic
306C2×C42×C73C2311yescharacteristic
307C2×C42×C73C2311yescharacteristic
308C2×C42×C73C2311yescharacteristic
309C2×C42×C73C2311yescharacteristic
310C2×C42×C73C2311yescharacteristic
311C2×C42×C73C2311yescharacteristic
312C2×C42×C73C2311yescharacteristic
313C2×C42×C73C2311yescharacteristic
314C2×C42×C73C2311yescharacteristic
315C2×C42×C73C2311yescharacteristic
316C2×C42×C73C2311yescharacteristic
317C2×C42×C73C2311yescharacteristic
318C2×C42×C73C2311yescharacteristic
319#95×C73C2311yescharacteristic
320#95×C73C2311yescharacteristic
321#95×C73C2311yescharacteristic
322#95×C73C2311yescharacteristic
323#95×C73C2311yescharacteristic
324#95×C73C2311yescharacteristic
325#95×C73C2311yescharacteristic
326#95×C73C2311yescharacteristic
327#95×C73C2311yescharacteristic
328#95×C73C2311yescharacteristic
329#95×C73C2311yescharacteristic
330#95×C73C2311yescharacteristic
331#95×C73C2311yescharacteristic
332#95×C73C2311yescharacteristic
333#95×C73C2311yescharacteristic
334#95×C73C2311yescharacteristic
335#95×C73C2311yescharacteristic
336#95×C73C2311yescharacteristic
337#95×C73C2311yescharacteristic
338#95×C73C2311yescharacteristic
339#95×C73C2311yescharacteristic
340#95×C73C2311yescharacteristic
341#95×C73C2311yescharacteristic
342#95×C73C2311yescharacteristic
343#95×C73C2311yescharacteristic
344#95×C73C2311yescharacteristic
345#95×C73C2311yescharacteristic
346#95×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363C24×C73—22no—
364C24×C73—22no—
365C24×C73—22no—
366C24×C73—41no—
367C24×C73—41no—
368C24×C73—41no—
369C24×C73—41no—
370C24×C73C2411yescharacteristic
371C24×C73C2411yescharacteristic
372C24×C73C2411yescharacteristic
373C24×C73C2411yescharacteristic
374C24×C73C2411yescharacteristic
375C2×Q8×C73—22no—
376C2×Q8×C73—22no—
377C2×Q8×C73—41no—
378C2×D4×C73—22no—
379C2×D4×C73—22no—
380C2×D4×C73—22no—
381C2×D4×C73—22no—
382C2×D4×C73—22no—
383C2×D4×C73—22no—
384C2×D4×C73—22no—
385C2×D4×C73—22no—
386C2×D4×C73—22no—
387C2×D4×C73—22no—
388C2×D4×C73—41no—
389C2×D4×C73—41no—
390C2×D4×C73—41no—
391C2×D4×C73—41no—
392C2×D4×C73—41no—
393C2×D4×C73—41no—
394C2×D4×C73—41no—
395C2×D4×C73—41no—
396C2×D4×C73—41no—
397C2×D4×C73—41no—
398C2×D4×C73#4114yes—
399C22×C4×C73—22no—
400C22×C4×C73—22no—
401C22×C4×C73—22no—
402C22×C4×C73—22no—
403C22×C4×C73—22no—
404C22×C4×C73—22no—
405C22×C4×C73—22no—
406C22×C4×C73—22no—
407C22×C4×C73—22no—
408C22×C4×C73—22no—
409C22×C4×C73—22no—
410C22×C4×C73—22no—
411C22×C4×C73—22no—
412C22×C4×C73—41no—
413C22×C4×C73—41no—
414C22×C4×C73—41no—
415C22×C4×C73—41no—
416C22×C4×C73—41no—
417C22×C4×C73—41no—
418C22×C4×C73—41no—
419C22×C4×C73—41no—
420C22×C4×C73—41no—
421C22×C4×C73—41no—
422C22×C4×C73—41no—
423C22×C4×C73—41no—
424C22×C4×C73—41no—
425C22×C4×C73—41no—
426C22×C4×C73—41no—
427C22×C4×C73—41no—
428C22×C4×C73—41no—
429C22×C4×C73C2411yescharacteristic
430C22×C4×C73C2411yescharacteristic
431C22×C4×C73C2411yescharacteristic
432C22×C4×C73C2411yescharacteristic
433C22×C4×C73C2411yescharacteristic
434C22×C4×C73C2411yescharacteristic
435C22×C4×C73C2411yescharacteristic
436C22×C4×C73C2411yescharacteristic
437C22×C4×C73C2411yescharacteristic
438C22×C4×C73C2411yescharacteristic
439C22×C4×C73C2411yescharacteristic
440C22×C4×C73C2411yescharacteristic
441C22×C4×C73C2411yescharacteristic
442C22×C4×C73C2411yescharacteristic
443C22×C4×C73C2411yescharacteristic
444C22×C4×C73C2411yescharacteristic
445C22×C4×C73C2411yescharacteristic
446C22×C4×C73C2411yescharacteristic
447C22×C4×C73C2411yescharacteristic
448C22×C4×C73C2411yescharacteristic
449C22×C4×C73C2411yescharacteristic
450C22×C4×C73C2411yescharacteristic
451C22×C4×C73C2411yescharacteristic
452C22×C4×C73C2411yescharacteristic
453C22×C4×C73C2411yescharacteristic
454C22×C4×C73C2411yescharacteristic
455C4⋊C4×C73—22no—
456C4⋊C4×C73—22no—
457C4⋊C4×C73—22no—
458C4⋊C4×C73—22no—
459C4⋊C4×C73—22no—
460C4⋊C4×C73—22no—
461C4⋊C4×C73—22no—
462C4⋊C4×C73—22no—
463C4⋊C4×C73—22no—
464C4⋊C4×C73—22no—
465C4⋊C4×C73—22no—
466C4⋊C4×C73—22no—
467C4⋊C4×C73—41no—
468C4⋊C4×C73—41no—
469C4⋊C4×C73—41no—
470C4⋊C4×C73—41no—
471C4⋊C4×C73—41no—
472C4⋊C4×C73—41no—
473C4⋊C4×C73—41no—
474C4⋊C4×C73—41no—
475C4⋊C4×C73—41no—
476C4⋊C4×C73—41no—
477C4⋊C4×C73—41no—
478C4⋊C4×C73—41no—
479C4⋊C4×C73—41no—
480C4⋊C4×C73—41no—
481C4⋊C4×C73—41no—
482C4⋊C4×C73—41no—
483C22⋊C4×C73—22no—
484C22⋊C4×C73—22no—
485C22⋊C4×C73—22no—
486C22⋊C4×C73—22no—
487C22⋊C4×C73—22no—
488C22⋊C4×C73—22no—
489C22⋊C4×C73—22no—
490C22⋊C4×C73—22no—
491C22⋊C4×C73—22no—
492C22⋊C4×C73—22no—
493C22⋊C4×C73—22no—
494C22⋊C4×C73—22no—
495C22⋊C4×C73—22no—
496C22⋊C4×C73—22no—
497C22⋊C4×C73—22no—
498C22⋊C4×C73—22no—
499C22⋊C4×C73—22no—
500C22⋊C4×C73—22no—
501C22⋊C4×C73—22no—
502C22⋊C4×C73—22no—
503C22⋊C4×C73—22no—
504C22⋊C4×C73—22no—
505C22⋊C4×C73—22no—
506C22⋊C4×C73—22no—
507C22⋊C4×C73—22no—
508C22⋊C4×C73—41no—
509C22⋊C4×C73—41no—
510C22⋊C4×C73—41no—
511C22⋊C4×C73—41no—
512C22⋊C4×C73—41no—
513C22⋊C4×C73—41no—
514C22⋊C4×C73—41no—
515C22⋊C4×C73—41no—
516C22⋊C4×C73—41no—
517C22⋊C4×C73—41no—
518C22⋊C4×C73—41no—
519C22⋊C4×C73—41no—
520C22⋊C4×C73—41no—
521C22⋊C4×C73—41no—
522C22⋊C4×C73—41no—
523C22⋊C4×C73—41no—
524C22⋊C4×C73—41no—
525C22⋊C4×C73—41no—
526C22⋊C4×C73—41no—
527C22⋊C4×C73—41no—
528C22⋊C4×C73—41no—
529C22⋊C4×C73#4114yes—
530C22⋊C4×C73#4114yes—
531C42×C73—22no—
532C42×C73—22no—
533C42×C73—22no—
534C42×C73—22no—
535C42×C73—22no—
536C42×C73—22no—
537C42×C73—22no—
538C42×C73—41no—
539C42×C73—41no—
540C42×C73—41no—
541C42×C73—41no—
542C42×C73—41no—
543C42×C73—41no—
544C42×C73—41no—
545C42×C73—41no—
546C42×C73—41no—
547C23×C73—21no—
548C23×C73—21no—
549C23×C73—21no—
550C23×C73—21no—
551C23×C73—21no—
552C23×C73—21no—
553C23×C73—21no—
554C23×C73—21no—
555C23×C73—21no—
556C23×C73—21no—
557C23×C73—21no—
558C23×C73—21no—
559C23×C73—21no—
560C23×C73—21no—
561C23×C73—21no—
562C23×C73—21no—
563C23×C73—21no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73—21no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73—44no—
579C23×C73—44no—
580C23×C73—44no—
581C23×C73—82no—
582C23×C73—82no—
583C23×C73—82no—
584C23×C73—82no—
585C23×C73C2×#4112yes—
586C23×C73C2×#4112yes—
587C23×C73C2×#4112yes—
588C23×C73C2×#4112yes—
589C23×C73C2511yescharacteristic
590Q8×C73—44no—
591D4×C73—44no—
592D4×C73—44no—
593D4×C73—44no—
594D4×C73—44no—
595D4×C73—44no—
596D4×C73—44no—
597D4×C73—82no—
598C2×C4×C73—21no—
599C2×C4×C73—21no—
600C2×C4×C73—21no—
601C2×C4×C73—21no—
602C2×C4×C73—21no—
603C2×C4×C73—21no—
604C2×C4×C73—21no—
605C2×C4×C73—21no—
606C2×C4×C73—21no—
607C2×C4×C73—21no—
608C2×C4×C73—21no—
609C2×C4×C73—21no—
610C2×C4×C73—21no—
611C2×C4×C73—21no—
612C2×C4×C73—21no—
613C2×C4×C73—21no—
614C2×C4×C73—21no—
615C2×C4×C73—21no—
616C2×C4×C73—21no—
617C2×C4×C73—21no—
618C2×C4×C73—21no—
619C2×C4×C73—21no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—44no—
670C2×C4×C73—44no—
671C2×C4×C73—44no—
672C2×C4×C73—44no—
673C2×C4×C73—44no—
674C2×C4×C73—82no—
675C2×C4×C73—82no—
676C2×C4×C73—82no—
677C2×C4×C73—82no—
678C2×C4×C73—82no—
679C2×C4×C73C2×#4112yes—
680C2×C4×C73C2×#4112yes—
681C2×C4×C73C2×#4112yes—
682C2×C4×C73C2×#4112yes—
683C2×C4×C73C2×#4112yes—
684C2×C4×C73H(5,𝔽2)12yes—
685C2×C4×C73H(5,𝔽2)12yes—
686C22×C73—22no—
687C22×C73—22no—
688C22×C73—22no—
689C22×C73—22no—
690C22×C73—22no—
691C22×C73—22no—
692C22×C73—22no—
693C22×C73—22no—
694C22×C73—22no—
695C22×C73—22no—
696C22×C73—22no—
697C22×C73—22no—
698C22×C73—41no—
699C22×C73—41no—
700C22×C73—41no—
701C22×C73—41no—
702C22×C73—41no—
703C22×C73—41no—
704C22×C73—41no—
705C22×C73—41no—
706C22×C73—41no—
707C22×C73—41no—
708C22×C73—41no—
709C22×C73—41no—
710C22×C73—41no—
711C22×C73—41no—
712C22×C73—41no—
713C22×C73—41no—
714C22×C73—41no—
715C22×C73—41no—
716C22×C73—41no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—88no—
722C22×C73C22×#4111yescharacteristic
723C22×C73C22×#4111yescharacteristic
724C22×C73C22×#4111yescharacteristic
725C22×C73C2×H(5,𝔽2)11yescharacteristic
726C22×C73C2×H(5,𝔽2)11yescharacteristic
727C22×C73#58511yescharacteristic
728C22×C73#58511yescharacteristic
729C4×C73—22no—
730C4×C73—22no—
731C4×C73—22no—
732C4×C73—22no—
733C4×C73—22no—
734C4×C73—22no—
735C4×C73—22no—
736C4×C73—41no—
737C4×C73—41no—
738C4×C73—41no—
739C4×C73—41no—
740C4×C73—41no—
741C4×C73—41no—
742C4×C73—41no—
743C4×C73—41no—
744C4×C73—41no—
745C4×C73—41no—
746C4×C73—41no—
747C4×C73—41no—
748C4×C73—41no—
749C4×C73—41no—
750C4×C73—41no—
751C4×C73—41no—
752C4×C73—41no—
753C4×C73—41no—
754C4×C73—41no—
755#60022C7311yesmaximal, characteristic, direct product factor, Sylow
756C2×C73—42no—
757C2×C73—42no—
758C2×C73—42no—
759C2×C73—42no—
760C2×C73—81no—
761C2×C73#347511yescharacteristic
762C2×C73#348111yescharacteristic
763C2×C73#348111yescharacteristic
764C2×C73#350511yescharacteristic
765C2×C73#351011yescharacteristic
766C2×C73#351311yescharacteristic
767C2×C73#354211yescharacteristic
768#2746C2×C7311yescharacteristic, complemented
769#2701C2×C7311yescharacteristic, complemented
770#2687C2×C7311yescharacteristic, complemented
771#2678C2×C7311yescharacteristic
772#2601C2×C7311yescharacteristic, complemented
773#2600C2×C7311yescharacteristic, complemented
774#2598C2×C7311yescharacteristic, complemented
775#2587C2×C7311yescharacteristic, complemented
776#2580C2×C7311yescharacteristic, complemented
777#2577C2×C7311yescharacteristic, complemented
778#2576C2×C7311yescharacteristic, complemented
779#2534C2×C7311yescharacteristic, complemented
780#2527C2×C7311yescharacteristic, complemented
781#2526C2×C7311yescharacteristic, complemented
782#2522C2×C7311yescharacteristic, complemented
783#2516C2×C7311yescharacteristic, complemented
784#2515C2×C7311yescharacteristic, complemented
785#2482C2×C7311yescharacteristic, complemented
786#2472C2×C7311yescharacteristic, complemented
787#2468C2×C7311yescharacteristic, complemented
788#2467C2×C7311yescharacteristic, complemented
789#2459C2×C7311yescharacteristic, complemented
790#2374C2×C7311yescharacteristic, complemented
791#2367C2×C7311yescharacteristic, complemented
792#2362C2×C7311yescharacteristic, complemented
793#2358C2×C7311yescharacteristic, complemented
794#2358C2×C7311yescharacteristic, complemented
795#2342C2×C7311yescharacteristic, complemented
796C4×#123C2×C7311yescharacteristic, complemented
797C4×#121C2×C7311yescharacteristic, complemented
798#2290C2×C7311yescharacteristic, complemented
799C73#6002211yescharacteristic, direct product factor, Sylow
800C2×#126C22×C7311yescharacteristic, complemented
801C2×#124C22×C7311yescharacteristic
802C2×#123C22×C7311yescharacteristic
803C2×#123C22×C7311yescharacteristic
804C2×C22⋊Q8C22×C7311yescharacteristic
805C2×#121C22×C7311yescharacteristic
806C2×#120C22×C7311yescharacteristic
807C2×#120C22×C7311yescharacteristic
808C2×C4×Q8C22×C7311yescharacteristic, complemented
809C2×C4×D4C22×C7311yescharacteristic
810C2×C4×D4C22×C7311yescharacteristic
811C2×C4×D4C22×C7311yescharacteristic
812C2×C4×D4C22×C7311yescharacteristic
813C2×C4×D4C22×C7311yescharacteristic
814C2×C4×D4C22×C7311yescharacteristic, complemented
815C2×#117C22×C7311yescharacteristic
816C2×#117C22×C7311yescharacteristic
817C22×C22⋊C4C22×C7311yescharacteristic
818C22×C22⋊C4C22×C7311yescharacteristic
819C22×C22⋊C4C22×C7311yescharacteristic
820C22×C42C22×C7311yescharacteristic, complemented
821#401C22×C7311yescharacteristic, complemented
822#400C22×C7311yescharacteristic, complemented
823#400C22×C7311yescharacteristic, complemented
824#400C22×C7311yescharacteristic, complemented
825#399C22×C7311yescharacteristic
826#399C22×C7311yescharacteristic
827#399C22×C7311yescharacteristic, complemented
828#398C22×C7311yescharacteristic, complemented
829#398C22×C7311yescharacteristic, complemented
830#398C22×C7311yescharacteristic, complemented
831#398C22×C7311yescharacteristic, complemented
832#397C22×C7311yescharacteristic
833#397C22×C7311yescharacteristic
834#397C22×C7311yescharacteristic
835#397C22×C7311yescharacteristic
836#397C22×C7311yescharacteristic, complemented
837#396C22×C7311yescharacteristic
838#396C22×C7311yescharacteristic
839#396C22×C7311yescharacteristic
840#396C22×C7311yescharacteristic, complemented
841#394C22×C7311yescharacteristic
842#394C22×C7311yescharacteristic
843#394C22×C7311yescharacteristic
844#394C22×C7311yescharacteristic
845#394C22×C7311yescharacteristic
846#394C22×C7311yescharacteristic
847#394C22×C7311yescharacteristic, complemented
848#394C22×C7311yescharacteristic, complemented
849#393C22×C7311yescharacteristic
850#393C22×C7311yescharacteristic, complemented
851#392C22×C7311yescharacteristic
852#392C22×C7311yescharacteristic
853#391C22×C7311yescharacteristic, complemented
854#391C22×C7311yescharacteristic, complemented
855#390C22×C7311yescharacteristic
856#390C22×C7311yescharacteristic
857#390C22×C7311yescharacteristic
858#390C22×C7311yescharacteristic
859#390C22×C7311yescharacteristic
860#389C22×C7311yescharacteristic, complemented
861#389C22×C7311yescharacteristic, complemented
862#389C22×C7311yescharacteristic, complemented
863#389C22×C7311yescharacteristic, complemented
864#388C22×C7311yescharacteristic
865#388C22×C7311yescharacteristic
866#388C22×C7311yescharacteristic
867#388C22×C7311yescharacteristic
868#388C22×C7311yescharacteristic
869#388C22×C7311yescharacteristic
870#388C22×C7311yescharacteristic
871#388C22×C7311yescharacteristic
872#388C22×C7311yescharacteristic
873#388C22×C7311yescharacteristic
874#388C22×C7311yescharacteristic
875#388C22×C7311yescharacteristic
876#388C22×C7311yescharacteristic
877#388C22×C7311yescharacteristic
878#388C22×C7311yescharacteristic
879#388C22×C7311yescharacteristic
880#388C22×C7311yescharacteristic
881#388C22×C7311yescharacteristic, complemented
882#388C22×C7311yescharacteristic, complemented
883#388C22×C7311yescharacteristic, complemented
884#388C22×C7311yescharacteristic, complemented
885#388C22×C7311yescharacteristic, complemented
886#388C22×C7311yescharacteristic, complemented
887#388C22×C7311yescharacteristic, complemented
888#388C22×C7311yescharacteristic, complemented
889#387C22×C7311yescharacteristic, complemented
890#387C22×C7311yescharacteristic, complemented
891#387C22×C7311yescharacteristic, complemented
892#387C22×C7311yescharacteristic, complemented
893#387C22×C7311yescharacteristic, complemented
894#387C22×C7311yescharacteristic, complemented
895#387C22×C7311yescharacteristic, complemented
896#387C22×C7311yescharacteristic, complemented
897#387C22×C7311yescharacteristic, complemented
898#387C22×C7311yescharacteristic, complemented
899#387C22×C7311yescharacteristic, complemented
900#387C22×C7311yescharacteristic, complemented
901#386C22×C7311yescharacteristic
902#386C22×C7311yescharacteristic
903#386C22×C7311yescharacteristic
904#386C22×C7311yescharacteristic
905#386C22×C7311yescharacteristic
906#386C22×C7311yescharacteristic
907#386C22×C7311yescharacteristic
908#386C22×C7311yescharacteristic
909#386C22×C7311yescharacteristic
910#386C22×C7311yescharacteristic
911#386C22×C7311yescharacteristic
912#386C22×C7311yescharacteristic, complemented
913#385C22×C7311yescharacteristic
914#385C22×C7311yescharacteristic
915#385C22×C7311yescharacteristic
916#385C22×C7311yescharacteristic
917#385C22×C7311yescharacteristic
918#385C22×C7311yescharacteristic
919#385C22×C7311yescharacteristic
920#385C22×C7311yescharacteristic
921#385C22×C7311yescharacteristic, complemented
922#385C22×C7311yescharacteristic, complemented
923#385C22×C7311yescharacteristic, complemented
924#385C22×C7311yescharacteristic, complemented
925#383C22×C7311yescharacteristic, complemented
926#382C22×C7311yescharacteristic, complemented
927#381C22×C7311yescharacteristic
928#381C22×C7311yescharacteristic
929#381C22×C7311yescharacteristic
930#381C22×C7311yescharacteristic, complemented
931#381C22×C7311yescharacteristic, complemented
932#380C22×C7311yescharacteristic
933#380C22×C7311yescharacteristic
934#380C22×C7311yescharacteristic, complemented
935#379C22×C7311yescharacteristic
936#379C22×C7311yescharacteristic
937C4×C4⋊C4C22×C7311yescharacteristic, complemented
938C4×C4⋊C4C22×C7311yescharacteristic, complemented
939C4×C4⋊C4C22×C7311yescharacteristic, complemented
940C4×C4⋊C4C22×C7311yescharacteristic, complemented
941C4×C4⋊C4C22×C7311yescharacteristic, complemented
942C4×C4⋊C4C22×C7311yescharacteristic, complemented
943C4×C22⋊C4C22×C7311yescharacteristic
944C4×C22⋊C4C22×C7311yescharacteristic
945C4×C22⋊C4C22×C7311yescharacteristic
946C4×C22⋊C4C22×C7311yescharacteristic
947C4×C22⋊C4C22×C7311yescharacteristic
948C4×C22⋊C4C22×C7311yescharacteristic
949C4×C22⋊C4C22×C7311yescharacteristic
950C4×C22⋊C4C22×C7311yescharacteristic
951C4×C22⋊C4C22×C7311yescharacteristic, complemented
952C4×C22⋊C4C22×C7311yescharacteristic, complemented
953C4×C22⋊C4C22×C7311yescharacteristic, complemented
954#376C22×C7311yescharacteristic, complemented
955C25C23×C7311yescharacteristic
956C22×Q8C23×C7311yescharacteristic
957C22×D4C23×C7311yescharacteristic
958C22×D4C23×C7311yescharacteristic
959C22×D4C23×C7311yescharacteristic
960C22×D4C23×C7311yescharacteristic
961C22×D4C23×C7311yescharacteristic
962C22×D4C23×C7311yescharacteristic
963C22×D4C23×C7311yescharacteristic
964C23×C4C23×C7311yescharacteristic
965C23×C4C23×C7311yescharacteristic
966C23×C4C23×C7311yescharacteristic
967C23×C4C23×C7311yescharacteristic
968C23×C4C23×C7311yescharacteristic
969C23×C4C23×C7311yescharacteristic
970C23×C4C23×C7311yescharacteristic
971C23×C4C23×C7311yescharacteristic
972C23×C4C23×C7311yescharacteristic
973C23×C4C23×C7311yescharacteristic
974#126—42no—
975#124—24no—
976#123—24no—
977#123—24no—
978C22⋊Q8—24no—
979#121—24no—
980#120—24no—
981#120—24no—
982C4×Q8—42no—
983C4×D4—24no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989#117—42no—
990#117—42no—
991C2×C4⋊C4C23×C7311yescharacteristic
992C2×C4⋊C4C23×C7311yescharacteristic
993C2×C4⋊C4C23×C7311yescharacteristic
994C2×C4⋊C4C23×C7311yescharacteristic
995C2×C4⋊C4C23×C7311yescharacteristic
996C2×C4⋊C4C23×C7311yescharacteristic
997C2×C4⋊C4C23×C7311yescharacteristic
998C2×C4⋊C4C23×C7311yescharacteristic
999C2×C4⋊C4C23×C7311yescharacteristic
1000C2×C4⋊C4C23×C7311yescharacteristic
1001C2×C4⋊C4C23×C7311yescharacteristic
1002C2×C4⋊C4C23×C7311yescharacteristic
1003C2×C4⋊C4C23×C7311yescharacteristic
1004C2×C4⋊C4C23×C7311yescharacteristic
1005C2×C4⋊C4C23×C7311yescharacteristic
1006C2×C4⋊C4C23×C7311yescharacteristic
1007C2×C4⋊C4C23×C7311yescharacteristic
1008C2×C4⋊C4C23×C7311yescharacteristic
1009C2×C4⋊C4C23×C7311yescharacteristic
1010C2×C4⋊C4C23×C7311yescharacteristic
1011C2×C4⋊C4C23×C7311yescharacteristic
1012C2×C4⋊C4C23×C7311yescharacteristic
1013C2×C4⋊C4C23×C7311yescharacteristic
1014C2×C4⋊C4C23×C7311yescharacteristic
1015C2×C4⋊C4C23×C7311yescharacteristic
1016C2×C4⋊C4C23×C7311yescharacteristic
1017C2×C4⋊C4C23×C7311yescharacteristic
1018C2×C4⋊C4C23×C7311yescharacteristic
1019C2×C22⋊C4—24no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4C23×C7311yescharacteristic
1023C2×C22⋊C4C23×C7311yescharacteristic
1024C2×C22⋊C4C23×C7311yescharacteristic
1025C2×C22⋊C4C23×C7311yescharacteristic
1026C2×C22⋊C4C23×C7311yescharacteristic
1027C2×C22⋊C4C23×C7311yescharacteristic
1028C2×C22⋊C4C23×C7311yescharacteristic
1029C2×C22⋊C4C23×C7311yescharacteristic
1030C2×C22⋊C4C23×C7311yescharacteristic
1031C2×C22⋊C4C23×C7311yescharacteristic
1032C2×C22⋊C4C23×C7311yescharacteristic
1033C2×C22⋊C4C23×C7311yescharacteristic
1034C2×C22⋊C4C23×C7311yescharacteristic
1035C2×C22⋊C4C23×C7311yescharacteristic
1036C2×C22⋊C4C23×C7311yescharacteristic
1037C2×C22⋊C4C23×C7311yescharacteristic
1038C2×C22⋊C4C23×C7311yescharacteristic
1039C2×C22⋊C4C23×C7311yescharacteristic
1040C2×C22⋊C4C23×C7311yescharacteristic
1041C2×C22⋊C4C23×C7311yescharacteristic
1042C2×C22⋊C4C23×C7311yescharacteristic
1043C2×C22⋊C4C23×C7311yescharacteristic
1044C2×C22⋊C4C23×C7311yescharacteristic
1045C2×C22⋊C4C23×C7311yescharacteristic
1046C2×C22⋊C4C23×C7311yescharacteristic
1047C2×C22⋊C4C23×C7311yescharacteristic
1048C2×C22⋊C4C23×C7311yescharacteristic
1049C2×C22⋊C4C23×C7311yescharacteristic
1050C2×C22⋊C4C23×C7311yescharacteristic
1051C2×C22⋊C4C23×C7311yescharacteristic
1052C2×C22⋊C4C23×C7311yescharacteristic
1053C2×C22⋊C4C23×C7311yescharacteristic
1054C2×C22⋊C4C23×C7311yescharacteristic
1055C2×C22⋊C4C23×C7311yescharacteristic
1056C2×C22⋊C4C23×C7311yescharacteristic
1057C2×C22⋊C4C23×C7311yescharacteristic
1058C2×C22⋊C4C23×C7311yescharacteristic
1059C2×C22⋊C4C23×C7311yescharacteristic
1060C2×C22⋊C4C23×C7311yescharacteristic
1061C2×C22⋊C4C23×C7311yescharacteristic
1062C2×C22⋊C4C23×C7311yescharacteristic
1063C2×C22⋊C4C23×C7311yescharacteristic
1064C2×C22⋊C4C23×C7311yescharacteristic
1065C2×C22⋊C4C23×C7311yescharacteristic
1066C2×C22⋊C4C23×C7311yescharacteristic
1067C2×C22⋊C4C23×C7311yescharacteristic
1068C2×C22⋊C4C23×C7311yescharacteristic
1069C2×C22⋊C4C23×C7311yescharacteristic
1070C2×C42—42no—
1071C2×C42C23×C7311yescharacteristic
1072C2×C42C23×C7311yescharacteristic
1073C2×C42C23×C7311yescharacteristic
1074C2×C42C23×C7311yescharacteristic
1075C2×C42C23×C7311yescharacteristic
1076C2×C42C23×C7311yescharacteristic
1077C2×C42C23×C7311yescharacteristic
1078C2×C42C23×C7311yescharacteristic
1079C2×C42C23×C7311yescharacteristic
1080C2×C42C23×C7311yescharacteristic
1081C2×C42C23×C7311yescharacteristic
1082C2×C42C23×C7311yescharacteristic
1083C2×C42C23×C7311yescharacteristic
1084C2×C42C23×C7311yescharacteristic
1085C2×C42C23×C7311yescharacteristic
1086C2×C42C23×C7311yescharacteristic
1087#95C23×C7311yescharacteristic
1088#95C23×C7311yescharacteristic
1089#95C23×C7311yescharacteristic
1090#95C23×C7311yescharacteristic
1091#95C23×C7311yescharacteristic
1092#95C23×C7311yescharacteristic
1093#95C23×C7311yescharacteristic
1094#95C23×C7311yescharacteristic
1095#95C23×C7311yescharacteristic
1096#95C23×C7311yescharacteristic
1097#95C23×C7311yescharacteristic
1098#95C23×C7311yescharacteristic
1099#95C23×C7311yescharacteristic
1100#95C23×C7311yescharacteristic
1101#95C23×C7311yescharacteristic
1102#95C23×C7311yescharacteristic
1103#95C23×C7311yescharacteristic
1104#95C23×C7311yescharacteristic
1105#95C23×C7311yescharacteristic
1106#95C23×C7311yescharacteristic
1107#95C23×C7311yescharacteristic
1108#95C23×C7311yescharacteristic
1109#95C23×C7311yescharacteristic
1110#95C23×C7311yescharacteristic
1111#95C23×C7311yescharacteristic
1112#95C23×C7311yescharacteristic
1113#95C23×C7311yescharacteristic
1114#95C23×C7311yescharacteristic
1115#95C23×C7311yescharacteristic
1116#95C23×C7311yescharacteristic
1117#95C23×C7311yescharacteristic
1118#95C23×C7311yescharacteristic
1119#95C23×C7311yescharacteristic
1120#95C23×C7311yescharacteristic
1121#95C23×C7311yescharacteristic
1122#95C23×C7311yescharacteristic
1123#95C23×C7311yescharacteristic
1124#95C23×C7311yescharacteristic
1125#95C23×C7311yescharacteristic
1126#95C23×C7311yescharacteristic
1127#95C23×C7311yescharacteristic
1128#95C23×C7311yescharacteristic
1129#95C23×C7311yescharacteristic
1130#95C23×C7311yescharacteristic
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24C24×C7311yescharacteristic
1139C24C24×C7311yescharacteristic
1140C24C24×C7311yescharacteristic
1141C24C24×C7311yescharacteristic
1142C24C24×C7311yescharacteristic
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—41no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4#41×C7314yes—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4C24×C7311yescharacteristic
1198C22×C4C24×C7311yescharacteristic
1199C22×C4C24×C7311yescharacteristic
1200C22×C4C24×C7311yescharacteristic
1201C22×C4C24×C7311yescharacteristic
1202C22×C4C24×C7311yescharacteristic
1203C22×C4C24×C7311yescharacteristic
1204C22×C4C24×C7311yescharacteristic
1205C22×C4C24×C7311yescharacteristic
1206C22×C4C24×C7311yescharacteristic
1207C22×C4C24×C7311yescharacteristic
1208C22×C4C24×C7311yescharacteristic
1209C22×C4C24×C7311yescharacteristic
1210C22×C4C24×C7311yescharacteristic
1211C22×C4C24×C7311yescharacteristic
1212C22×C4C24×C7311yescharacteristic
1213C22×C4C24×C7311yescharacteristic
1214C22×C4C24×C7311yescharacteristic
1215C22×C4C24×C7311yescharacteristic
1216C22×C4C24×C7311yescharacteristic
1217C22×C4C24×C7311yescharacteristic
1218C22×C4C24×C7311yescharacteristic
1219C22×C4C24×C7311yescharacteristic
1220C22×C4C24×C7311yescharacteristic
1221C22×C4C24×C7311yescharacteristic
1222C22×C4C24×C7311yescharacteristic
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
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#41×C7314yes—
1298C22⋊C4#41×C7314yes—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—82no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23C2×#41×C7312yes—
1354C23C2×#41×C7312yes—
1355C23C2×#41×C7312yes—
1356C23C2×#41×C7312yes—
1357C23C25×C7311yescharacteristic
1358Q8—44no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—44no—
1363D4—44no—
1364D4—44no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4C2×#41×C7312yes—
1448C2×C4C2×#41×C7312yes—
1449C2×C4C2×#41×C7312yes—
1450C2×C4C2×#41×C7312yes—
1451C2×C4C2×#41×C7312yes—
1452C2×C4H(5,𝔽2)×C7312yes—
1453C2×C4H(5,𝔽2)×C7312yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—88no—
1490C22C22×#41×C7311yescharacteristic
1491C22C22×#41×C7311yescharacteristic
1492C22C22×#41×C7311yescharacteristic
1493C22C2×H(5,𝔽2)×C7311yescharacteristic
1494C22C2×H(5,𝔽2)×C7311yescharacteristic
1495C22#585×C7311yescharacteristic
1496C22#585×C7311yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C2—42no—
1524C2—42no—
1525C2—42no—
1526C2—42no—
1527C2—81no—
1528C2C73×#347511yescharacteristic
1529C2C73×#348111yescharacteristic
1530C2C73×#348111yescharacteristic
1531C2C73×#350511yescharacteristic
1532C2C73×#351011yescharacteristic
1533C2C73×#351311yescharacteristic
1534C2C73×#354211yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC73×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2746C2semidirect
2. C73×#2701C2semidirect
3. C73×#2687C2semidirect
5. C73×#2601C2semidirect
6. C73×#2600C2semidirect
7. C73×#2598C2semidirect
8. C73×#2587C2semidirect
9. C73×#2580C2semidirect
10. C73×#2577C2semidirect
11. C73×#2576C2semidirect
12. C73×#2534C2semidirect
13. C73×#2527C2semidirect
14. C73×#2526C2semidirect
15. C73×#2522C2semidirect
16. C73×#2516C2semidirect
17. C73×#2515C2semidirect
18. C73×#2482C2semidirect
19. C73×#2472C2semidirect
20. C73×#2468C2semidirect
21. C73×#2467C2semidirect
22. C73×#2459C2semidirect
23. C73×#2374C2semidirect
24. C73×#2367C2semidirect
25. C73×#2362C2semidirect
26. C73×#2358C2semidirect
27. C73×#2358C2semidirect
28. C73×#2342C2semidirect
29. C4×#123×C73C2semidirect
30. C4×#121×C73C2semidirect
31. C73×#2290C2semidirect
32. C2×#126×C73C22semidirect
40. C2×C4×Q8×C73C22semidirect
46. C2×C4×D4×C73C22semidirect
52. C22×C42×C73C22semidirect
53. #401×C73C22semidirect
54. #400×C73C22semidirect
55. #400×C73C22semidirect
56. #400×C73C22semidirect
59. #399×C73C22semidirect
60. #398×C73C22semidirect
61. #398×C73C22semidirect
62. #398×C73C22semidirect
63. #398×C73C22semidirect
68. #397×C73C22semidirect
72. #396×C73C22semidirect
79. #394×C73C22semidirect
80. #394×C73C22semidirect
82. #393×C73C22semidirect
85. #391×C73C22semidirect
86. #391×C73C22semidirect
92. #389×C73C22semidirect
93. #389×C73C22semidirect
94. #389×C73C22semidirect
95. #389×C73C22semidirect
113. #388×C73C22semidirect
114. #388×C73C22semidirect
115. #388×C73C22semidirect
116. #388×C73C22semidirect
117. #388×C73C22semidirect
118. #388×C73C22semidirect
119. #388×C73C22semidirect
120. #388×C73C22semidirect
121. #387×C73C22semidirect
122. #387×C73C22semidirect
123. #387×C73C22semidirect
124. #387×C73C22semidirect
125. #387×C73C22semidirect
126. #387×C73C22semidirect
127. #387×C73C22semidirect
128. #387×C73C22semidirect
129. #387×C73C22semidirect
130. #387×C73C22semidirect
131. #387×C73C22semidirect
132. #387×C73C22semidirect
144. #386×C73C22semidirect
153. #385×C73C22semidirect
154. #385×C73C22semidirect
155. #385×C73C22semidirect
156. #385×C73C22semidirect
157. #383×C73C22semidirect
158. #382×C73C22semidirect
162. #381×C73C22semidirect
163. #381×C73C22semidirect
166. #380×C73C22semidirect
169. C4×C4⋊C4×C73C22semidirect
170. C4×C4⋊C4×C73C22semidirect
171. C4×C4⋊C4×C73C22semidirect
172. C4×C4⋊C4×C73C22semidirect
173. C4×C4⋊C4×C73C22semidirect
174. C4×C4⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. #376×C73C22semidirect
755. #60022C73direct (N × H)
768. #2746C2×C73semidirect
769. #2701C2×C73semidirect
770. #2687C2×C73semidirect
772. #2601C2×C73semidirect
773. #2600C2×C73semidirect
774. #2598C2×C73semidirect
775. #2587C2×C73semidirect
776. #2580C2×C73semidirect
777. #2577C2×C73semidirect
778. #2576C2×C73semidirect
779. #2534C2×C73semidirect
780. #2527C2×C73semidirect
781. #2526C2×C73semidirect
782. #2522C2×C73semidirect
783. #2516C2×C73semidirect
784. #2515C2×C73semidirect
785. #2482C2×C73semidirect
786. #2472C2×C73semidirect
787. #2468C2×C73semidirect
788. #2467C2×C73semidirect
789. #2459C2×C73semidirect
790. #2374C2×C73semidirect
791. #2367C2×C73semidirect
792. #2362C2×C73semidirect
793. #2358C2×C73semidirect
794. #2358C2×C73semidirect
795. #2342C2×C73semidirect
796. C4×#123C2×C73semidirect
797. C4×#121C2×C73semidirect
798. #2290C2×C73semidirect
799. C73#60022direct (N × H)
800. C2×#126C22×C73semidirect
808. C2×C4×Q8C22×C73semidirect
814. C2×C4×D4C22×C73semidirect
820. C22×C42C22×C73semidirect
821. #401C22×C73semidirect
822. #400C22×C73semidirect
823. #400C22×C73semidirect
824. #400C22×C73semidirect
827. #399C22×C73semidirect
828. #398C22×C73semidirect
829. #398C22×C73semidirect
830. #398C22×C73semidirect
831. #398C22×C73semidirect
836. #397C22×C73semidirect
840. #396C22×C73semidirect
847. #394C22×C73semidirect
848. #394C22×C73semidirect
850. #393C22×C73semidirect
853. #391C22×C73semidirect
854. #391C22×C73semidirect
860. #389C22×C73semidirect
861. #389C22×C73semidirect
862. #389C22×C73semidirect
863. #389C22×C73semidirect
881. #388C22×C73semidirect
882. #388C22×C73semidirect
883. #388C22×C73semidirect
884. #388C22×C73semidirect
885. #388C22×C73semidirect
886. #388C22×C73semidirect
887. #388C22×C73semidirect
888. #388C22×C73semidirect
889. #387C22×C73semidirect
890. #387C22×C73semidirect
891. #387C22×C73semidirect
892. #387C22×C73semidirect
893. #387C22×C73semidirect
894. #387C22×C73semidirect
895. #387C22×C73semidirect
896. #387C22×C73semidirect
897. #387C22×C73semidirect
898. #387C22×C73semidirect
899. #387C22×C73semidirect
900. #387C22×C73semidirect
912. #386C22×C73semidirect
921. #385C22×C73semidirect
922. #385C22×C73semidirect
923. #385C22×C73semidirect
924. #385C22×C73semidirect
925. #383C22×C73semidirect
926. #382C22×C73semidirect
930. #381C22×C73semidirect
931. #381C22×C73semidirect
934. #380C22×C73semidirect
937. C4×C4⋊C4C22×C73semidirect
938. C4×C4⋊C4C22×C73semidirect
939. C4×C4⋊C4C22×C73semidirect
940. C4×C4⋊C4C22×C73semidirect
941. C4×C4⋊C4C22×C73semidirect
942. C4×C4⋊C4C22×C73semidirect
951. C4×C22⋊C4C22×C73semidirect
952. C4×C22⋊C4C22×C73semidirect
953. C4×C22⋊C4C22×C73semidirect
954. #376C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#27462
C73×#27012
C73×#26872
C73×#26782
C73×#26012
C73×#26002
C73×#25982
C73×#25872
C73×#25802
C73×#25772
C73×#25762
C73×#25342
C73×#25272
C73×#25262
C73×#25222
C73×#25162
C73×#25152
C73×#24822
C73×#24722
C73×#24682
C73×#24672
C73×#24592
C73×#23742
C73×#23672
C73×#23622
C73×#23582
C73×#23422
C4×#123×C732
C4×#121×C732
C73×#22902
#6002273