Finite Group Databasebeta

← C73×#36780 #32946184

Subgroups — C73×#36780 #32946184

Order 18688.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2852C211yesmaximal, characteristic, complemented
2C73×#2851C211yesmaximal, characteristic, complemented
3C73×#2786C211yesmaximal, characteristic, complemented
4C73×#2782C211yesmaximal, characteristic, complemented
5C73×#2770C211yesmaximal, characteristic, complemented
6C73×#2770C211yesmaximal, characteristic, complemented
7C73×#2747C211yesmaximal, characteristic, complemented
8C73×#2746C211yesmaximal, characteristic, complemented
9C73×#2745C211yesmaximal, characteristic, complemented
10C73×#2744C211yesmaximal, characteristic, complemented
11C73×#2744C211yesmaximal, characteristic, complemented
12C73×#2743C211yesmaximal, characteristic, complemented
13C73×#2738C211yesmaximal, characteristic, complemented
14C73×#2737C211yesmaximal, characteristic, complemented
15C73×#2723C211yesmaximal, characteristic, complemented
16C73×#2695C211yesmaximal, characteristic, complemented
17C73×#2694C211yesmaximal, characteristic, complemented
18C73×#2690C211yesmaximal, characteristic, complemented
19C73×#2627C211yesmaximal, characteristic, complemented
20C73×#2623C211yesmaximal, characteristic, complemented
21C73×#2505C211yesmaximal, characteristic, complemented
22C73×#2493C211yesmaximal, characteristic, complemented
23C73×#2483C211yesmaximal, characteristic, complemented
24C73×#2450C211yesmaximal, characteristic, complemented
25C73×#2437C211yesmaximal, characteristic, complemented
26C73×#2419C211yesmaximal, characteristic, complemented
27C73×#2412C211yesmaximal, characteristic
28C73×#2412C211yesmaximal, characteristic
29C73×#2321C211yesmaximal, characteristic
30C73×#2315C211yesmaximal, characteristic, complemented
31C2×#388×C73C211yesmaximal, characteristic, complemented
32C2×#126×C73C2211yescharacteristic, complemented
33C2×#125×C73C2211yescharacteristic, complemented
34C2×#123×C73C2211yescharacteristic
35C2×#123×C73C2211yescharacteristic
36C2×C22⋊Q8×C73C2211yescharacteristic
37C2×C22⋊Q8×C73C2211yescharacteristic
38C2×#120×C73C2211yescharacteristic
39C2×C4×D4×C73C2211yescharacteristic
40C22×C4⋊C4×C73C2211yescharacteristic
41C22×C22⋊C4×C73C2211yescharacteristic
42C22×C22⋊C4×C73C2211yescharacteristic
43C22×C22⋊C4×C73C2211yescharacteristic
44C22×C22⋊C4×C73C2211yescharacteristic
45C22×C22⋊C4×C73C2211yescharacteristic
46C22×C42×C73C2211yescharacteristic
47#401×C73C2211yescharacteristic, complemented
48#400×C73C2211yescharacteristic, complemented
49#400×C73C2211yescharacteristic, complemented
50#400×C73C2211yescharacteristic, complemented
51#400×C73C2211yescharacteristic, complemented
52#400×C73C2211yescharacteristic, complemented
53#400×C73C2211yescharacteristic, complemented
54#400×C73C2211yescharacteristic, complemented
55#400×C73C2211yescharacteristic, complemented
56#400×C73C2211yescharacteristic, complemented
57#400×C73C2211yescharacteristic, complemented
58#400×C73C2211yescharacteristic, complemented
59#400×C73C2211yescharacteristic, complemented
60#399×C73C2211yescharacteristic
61#399×C73C2211yescharacteristic, complemented
62#399×C73C2211yescharacteristic, complemented
63#398×C73C2211yescharacteristic, complemented
64#398×C73C2211yescharacteristic, complemented
65#398×C73C2211yescharacteristic, complemented
66#398×C73C2211yescharacteristic, complemented
67#398×C73C2211yescharacteristic, complemented
68#398×C73C2211yescharacteristic, complemented
69#398×C73C2211yescharacteristic, complemented
70#398×C73C2211yescharacteristic, complemented
71#398×C73C2211yescharacteristic, complemented
72#397×C73C2211yescharacteristic
73#397×C73C2211yescharacteristic
74#397×C73C2211yescharacteristic
75#397×C73C2211yescharacteristic
76#397×C73C2211yescharacteristic
77#397×C73C2211yescharacteristic
78#397×C73C2211yescharacteristic
79#397×C73C2211yescharacteristic
80#397×C73C2211yescharacteristic, complemented
81#397×C73C2211yescharacteristic, complemented
82#397×C73C2211yescharacteristic, complemented
83#397×C73C2211yescharacteristic, complemented
84#396×C73C2211yescharacteristic
85#396×C73C2211yescharacteristic
86#396×C73C2211yescharacteristic, complemented
87#395×C73C2211yescharacteristic, complemented
88#395×C73C2211yescharacteristic, complemented
89#394×C73C2211yescharacteristic
90#394×C73C2211yescharacteristic
91#394×C73C2211yescharacteristic
92#394×C73C2211yescharacteristic
93#393×C73C2211yescharacteristic
94#393×C73C2211yescharacteristic, complemented
95#391×C73C2211yescharacteristic, complemented
96#390×C73C2211yescharacteristic
97#390×C73C2211yescharacteristic
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, complemented
114#388×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic, complemented
116#387×C73C2211yescharacteristic, complemented
117#387×C73C2211yescharacteristic, complemented
118#387×C73C2211yescharacteristic, complemented
119#387×C73C2211yescharacteristic, complemented
120#387×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#386×C73C2211yescharacteristic
132#386×C73C2211yescharacteristic
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#385×C73C2211yescharacteristic
141#385×C73C2211yescharacteristic
142#385×C73C2211yescharacteristic
143#385×C73C2211yescharacteristic
144#385×C73C2211yescharacteristic
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
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic
157#385×C73C2211yescharacteristic
158#385×C73C2211yescharacteristic
159#385×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#383×C73C2211yescharacteristic, complemented
162#383×C73C2211yescharacteristic, complemented
163#382×C73C2211yescharacteristic, complemented
164#382×C73C2211yescharacteristic, complemented
165#381×C73C2211yescharacteristic
166#381×C73C2211yescharacteristic
167#381×C73C2211yescharacteristic
168#381×C73C2211yescharacteristic
169#381×C73C2211yescharacteristic
170#381×C73C2211yescharacteristic
171#381×C73C2211yescharacteristic, complemented
172#380×C73C2211yescharacteristic
173#380×C73C2211yescharacteristic
174#380×C73C2211yescharacteristic
175#380×C73C2211yescharacteristic
176#380×C73C2211yescharacteristic
177#380×C73C2211yescharacteristic
178#380×C73C2211yescharacteristic
179#380×C73C2211yescharacteristic
180#380×C73C2211yescharacteristic
181#380×C73C2211yescharacteristic
182#380×C73C2211yescharacteristic, complemented
183#379×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic
185C2×#95×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C25×C73C2311yescharacteristic
188C22×Q8×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C23×C4×C73C2311yescharacteristic
193C23×C4×C73C2311yescharacteristic
194C23×C4×C73C2311yescharacteristic
195C23×C4×C73C2311yescharacteristic
196C23×C4×C73C2311yescharacteristic
197C23×C4×C73C2311yescharacteristic
198C23×C4×C73C2311yescharacteristic
199C23×C4×C73C2311yescharacteristic
200C23×C4×C73C2311yescharacteristic
201C23×C4×C73C2311yescharacteristic
202C23×C4×C73C2311yescharacteristic
203#126×C73—42no—
204#125×C73—42no—
205#123×C73—42no—
206#123×C73—42no—
207C22⋊Q8×C73—42no—
208C22⋊Q8×C73—42no—
209#120×C73—24no—
210C4×D4×C73—42no—
211C2×C4⋊C4×C73—42no—
212C2×C4⋊C4×C73C2311yescharacteristic
213C2×C4⋊C4×C73C2311yescharacteristic
214C2×C4⋊C4×C73C2311yescharacteristic
215C2×C4⋊C4×C73C2311yescharacteristic
216C2×C4⋊C4×C73C2311yescharacteristic
217C2×C4⋊C4×C73C2311yescharacteristic
218C2×C4⋊C4×C73C2311yescharacteristic
219C2×C4⋊C4×C73C2311yescharacteristic
220C2×C4⋊C4×C73C2311yescharacteristic
221C2×C4⋊C4×C73C2311yescharacteristic
222C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73—24no—
249C2×C22⋊C4×C73—24no—
250C2×C22⋊C4×C73—42no—
251C2×C22⋊C4×C73—42no—
252C2×C22⋊C4×C73—42no—
253C2×C22⋊C4×C73C2311yescharacteristic
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×C42×C73—42no—
294C2×C42×C73C2311yescharacteristic
295C2×C42×C73C2311yescharacteristic
296C2×C42×C73C2311yescharacteristic
297C2×C42×C73C2311yescharacteristic
298C2×C42×C73C2311yescharacteristic
299C2×C42×C73C2311yescharacteristic
300C2×C42×C73C2311yescharacteristic
301#95×C73C2311yescharacteristic
302#95×C73C2311yescharacteristic
303#95×C73C2311yescharacteristic
304#95×C73C2311yescharacteristic
305#95×C73C2311yescharacteristic
306#95×C73C2311yescharacteristic
307#95×C73C2311yescharacteristic
308#95×C73C2311yescharacteristic
309#95×C73C2311yescharacteristic
310#95×C73C2311yescharacteristic
311#95×C73C2311yescharacteristic
312#95×C73C2311yescharacteristic
313#95×C73C2311yescharacteristic
314#95×C73C2311yescharacteristic
315#95×C73C2311yescharacteristic
316#95×C73C2311yescharacteristic
317#95×C73C2311yescharacteristic
318#95×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
357C24×C73—22no—
358C24×C73—22no—
359C24×C73—41no—
360C24×C73—41no—
361C24×C73—41no—
362C24×C73—41no—
363C24×C73#4114yes—
364C24×C73C2411yescharacteristic
365C24×C73C2411yescharacteristic
366C24×C73C2411yescharacteristic
367C24×C73C2411yescharacteristic
368C2×Q8×C73—41no—
369C2×Q8×C73—41no—
370C2×Q8×C73—41no—
371C2×D4×C73—22no—
372C2×D4×C73—22no—
373C2×D4×C73—22no—
374C2×D4×C73—22no—
375C2×D4×C73—22no—
376C2×D4×C73—41no—
377C2×D4×C73—41no—
378C2×D4×C73—41no—
379C2×D4×C73—41no—
380C22×C4×C73—22no—
381C22×C4×C73—22no—
382C22×C4×C73—22no—
383C22×C4×C73—22no—
384C22×C4×C73—22no—
385C22×C4×C73—22no—
386C22×C4×C73—22no—
387C22×C4×C73—22no—
388C22×C4×C73—22no—
389C22×C4×C73—22no—
390C22×C4×C73—22no—
391C22×C4×C73—41no—
392C22×C4×C73—41no—
393C22×C4×C73—41no—
394C22×C4×C73—41no—
395C22×C4×C73—41no—
396C22×C4×C73—41no—
397C22×C4×C73—41no—
398C22×C4×C73—41no—
399C22×C4×C73—41no—
400C22×C4×C73—41no—
401C22×C4×C73—41no—
402C22×C4×C73—41no—
403C22×C4×C73—41no—
404C22×C4×C73—41no—
405C22×C4×C73—41no—
406C22×C4×C73—41no—
407C22×C4×C73—41no—
408C22×C4×C73—41no—
409C22×C4×C73—41no—
410C22×C4×C73—41no—
411C22×C4×C73—41no—
412C22×C4×C73—41no—
413C22×C4×C73C2411yescharacteristic
414C22×C4×C73C2411yescharacteristic
415C22×C4×C73C2411yescharacteristic
416C22×C4×C73C2411yescharacteristic
417C22×C4×C73C2411yescharacteristic
418C22×C4×C73C2411yescharacteristic
419C22×C4×C73C2411yescharacteristic
420C22×C4×C73C2411yescharacteristic
421C22×C4×C73C2411yescharacteristic
422C22×C4×C73C2411yescharacteristic
423C22×C4×C73C2411yescharacteristic
424C22×C4×C73C2411yescharacteristic
425C22×C4×C73C2411yescharacteristic
426C22×C4×C73C2411yescharacteristic
427C22×C4×C73C2411yescharacteristic
428C22×C4×C73C2411yescharacteristic
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
440C4⋊C4×C73—22no—
441C4⋊C4×C73—22no—
442C4⋊C4×C73—22no—
443C4⋊C4×C73—41no—
444C4⋊C4×C73—41no—
445C4⋊C4×C73—41no—
446C4⋊C4×C73—41no—
447C4⋊C4×C73—41no—
448C4⋊C4×C73—41no—
449C4⋊C4×C73—41no—
450C4⋊C4×C73—41no—
451C4⋊C4×C73—41no—
452C4⋊C4×C73—41no—
453C4⋊C4×C73—41no—
454C4⋊C4×C73—41no—
455C4⋊C4×C73—41no—
456C4⋊C4×C73—41no—
457C4⋊C4×C73—41no—
458C4⋊C4×C73—41no—
459C4⋊C4×C73—41no—
460C4⋊C4×C73—41no—
461C4⋊C4×C73—41no—
462C4⋊C4×C73—41no—
463C4⋊C4×C73—41no—
464C4⋊C4×C73—41no—
465C4⋊C4×C73—41no—
466C4⋊C4×C73—41no—
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—
476C22⋊C4×C73—22no—
477C22⋊C4×C73—22no—
478C22⋊C4×C73—22no—
479C22⋊C4×C73—22no—
480C22⋊C4×C73—22no—
481C22⋊C4×C73—22no—
482C22⋊C4×C73—22no—
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—41no—
495C22⋊C4×C73—41no—
496C22⋊C4×C73—41no—
497C22⋊C4×C73—41no—
498C22⋊C4×C73—41no—
499C22⋊C4×C73—41no—
500C22⋊C4×C73—41no—
501C22⋊C4×C73—41no—
502C22⋊C4×C73—41no—
503C22⋊C4×C73—41no—
504C22⋊C4×C73—41no—
505C22⋊C4×C73—41no—
506C22⋊C4×C73—41no—
507C22⋊C4×C73—41no—
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—
516C42×C73—22no—
517C42×C73—22no—
518C42×C73—41no—
519C42×C73—41no—
520C42×C73—41no—
521C42×C73—41no—
522C42×C73—41no—
523C23×C73—21no—
524C23×C73—21no—
525C23×C73—21no—
526C23×C73—21no—
527C23×C73—21no—
528C23×C73—21no—
529C23×C73—21no—
530C23×C73—21no—
531C23×C73—21no—
532C23×C73—21no—
533C23×C73—21no—
534C23×C73—21no—
535C23×C73—21no—
536C23×C73—21no—
537C23×C73—21no—
538C23×C73—21no—
539C23×C73—28no—
540C23×C73—21no—
541C23×C73—21no—
542C23×C73—21no—
543C23×C73—21no—
544C23×C73—21no—
545C23×C73—21no—
546C23×C73—21no—
547C23×C73—44no—
548C23×C73—44no—
549C23×C73—82no—
550C23×C73—82no—
551C23×C73—82no—
552C23×C73—82no—
553C23×C73C2×#4112yes—
554C23×C73C2×#4112yes—
555C23×C73C2×#4112yes—
556C23×C73H(5,𝔽2)12yes—
557C23×C732−1+412yes—
558C23×C73C2511yescharacteristic
559Q8×C73—82no—
560D4×C73—44no—
561D4×C73—82no—
562D4×C73—82no—
563C2×C4×C73—21no—
564C2×C4×C73—21no—
565C2×C4×C73—21no—
566C2×C4×C73—21no—
567C2×C4×C73—21no—
568C2×C4×C73—21no—
569C2×C4×C73—21no—
570C2×C4×C73—21no—
571C2×C4×C73—21no—
572C2×C4×C73—21no—
573C2×C4×C73—21no—
574C2×C4×C73—21no—
575C2×C4×C73—21no—
576C2×C4×C73—21no—
577C2×C4×C73—21no—
578C2×C4×C73—21no—
579C2×C4×C73—21no—
580C2×C4×C73—21no—
581C2×C4×C73—21no—
582C2×C4×C73—21no—
583C2×C4×C73—21no—
584C2×C4×C73—21no—
585C2×C4×C73—21no—
586C2×C4×C73—21no—
587C2×C4×C73—21no—
588C2×C4×C73—21no—
589C2×C4×C73—21no—
590C2×C4×C73—21no—
591C2×C4×C73—21no—
592C2×C4×C73—21no—
593C2×C4×C73—21no—
594C2×C4×C73—21no—
595C2×C4×C73—21no—
596C2×C4×C73—21no—
597C2×C4×C73—21no—
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—44no—
644C2×C4×C73—44no—
645C2×C4×C73—44no—
646C2×C4×C73—44no—
647C2×C4×C73—82no—
648C2×C4×C73—82no—
649C2×C4×C73—82no—
650C2×C4×C73—82no—
651C2×C4×C73—82no—
652C2×C4×C73—82no—
653C2×C4×C73—82no—
654C2×C4×C73H(5,𝔽2)12yes—
655C22×C73—22no—
656C22×C73—22no—
657C22×C73—22no—
658C22×C73—22no—
659C22×C73—22no—
660C22×C73—22no—
661C22×C73—22no—
662C22×C73—22no—
663C22×C73—22no—
664C22×C73—22no—
665C22×C73—22no—
666C22×C73—22no—
667C22×C73—41no—
668C22×C73—41no—
669C22×C73—41no—
670C22×C73—41no—
671C22×C73—41no—
672C22×C73—41no—
673C22×C73—41no—
674C22×C73—41no—
675C22×C73—41no—
676C22×C73—41no—
677C22×C73—41no—
678C22×C73—41no—
679C22×C73—41no—
680C22×C73—41no—
681C22×C73—41no—
682C22×C73—88no—
683C22×C73#53914yes—
684C22×C73C22×#4111yescharacteristic
685C22×C73C2×H(5,𝔽2)11yescharacteristic
686C22×C73C2×H(5,𝔽2)11yescharacteristic
687C22×C73C2×2−1+411yescharacteristic
688C22×C73#58511yescharacteristic
689C22×C73#58511yescharacteristic
690C22×C73#58511yescharacteristic
691C4×C73—22no—
692C4×C73—41no—
693C4×C73—41no—
694C4×C73—41no—
695C4×C73—41no—
696C4×C73—41no—
697C4×C73—41no—
698C4×C73—41no—
699C4×C73—41no—
700C4×C73—41no—
701C4×C73—41no—
702C4×C73—41no—
703C4×C73—41no—
704C4×C73—41no—
705C4×C73—41no—
706C4×C73—41no—
707C4×C73—41no—
708C4×C73—41no—
709C4×C73—41no—
710C4×C73—41no—
711C4×C73—41no—
712C4×C73—41no—
713C4×C73—41no—
714C4×C73—41no—
715C4×C73—41no—
716C4×C73—41no—
717C4×C73—41no—
718#36780C7311yesmaximal, characteristic, direct product factor, Sylow
719C2×C73—24no—
720C2×C73—42no—
721C2×C73—42no—
722C2×C73—81no—
723C2×C73C2×#53911yescharacteristic
724C2×C73#349111yescharacteristic
725C2×C73#350511yescharacteristic
726C2×C73#353511yescharacteristic
727C2×C73#354211yescharacteristic
728C2×C73#354511yescharacteristic
729C2×C73#356411yescharacteristic
730#2852C2×C7311yescharacteristic, complemented
731#2851C2×C7311yescharacteristic, complemented
732#2786C2×C7311yescharacteristic, complemented
733#2782C2×C7311yescharacteristic, complemented
734#2770C2×C7311yescharacteristic, complemented
735#2770C2×C7311yescharacteristic, complemented
736#2747C2×C7311yescharacteristic, complemented
737#2746C2×C7311yescharacteristic, complemented
738#2745C2×C7311yescharacteristic, complemented
739#2744C2×C7311yescharacteristic, complemented
740#2744C2×C7311yescharacteristic, complemented
741#2743C2×C7311yescharacteristic, complemented
742#2738C2×C7311yescharacteristic, complemented
743#2737C2×C7311yescharacteristic, complemented
744#2723C2×C7311yescharacteristic, complemented
745#2695C2×C7311yescharacteristic, complemented
746#2694C2×C7311yescharacteristic, complemented
747#2690C2×C7311yescharacteristic, complemented
748#2627C2×C7311yescharacteristic, complemented
749#2623C2×C7311yescharacteristic, complemented
750#2505C2×C7311yescharacteristic, complemented
751#2493C2×C7311yescharacteristic, complemented
752#2483C2×C7311yescharacteristic, complemented
753#2450C2×C7311yescharacteristic, complemented
754#2437C2×C7311yescharacteristic, complemented
755#2419C2×C7311yescharacteristic, complemented
756#2412C2×C7311yescharacteristic
757#2412C2×C7311yescharacteristic
758#2321C2×C7311yescharacteristic
759#2315C2×C7311yescharacteristic, complemented
760C2×#388C2×C7311yescharacteristic, complemented
761C73#3678011yescharacteristic, direct product factor, Sylow
762C2×#126C22×C7311yescharacteristic, complemented
763C2×#125C22×C7311yescharacteristic, complemented
764C2×#123C22×C7311yescharacteristic
765C2×#123C22×C7311yescharacteristic
766C2×C22⋊Q8C22×C7311yescharacteristic
767C2×C22⋊Q8C22×C7311yescharacteristic
768C2×#120C22×C7311yescharacteristic
769C2×C4×D4C22×C7311yescharacteristic
770C22×C4⋊C4C22×C7311yescharacteristic
771C22×C22⋊C4C22×C7311yescharacteristic
772C22×C22⋊C4C22×C7311yescharacteristic
773C22×C22⋊C4C22×C7311yescharacteristic
774C22×C22⋊C4C22×C7311yescharacteristic
775C22×C22⋊C4C22×C7311yescharacteristic
776C22×C42C22×C7311yescharacteristic
777#401C22×C7311yescharacteristic, complemented
778#400C22×C7311yescharacteristic, complemented
779#400C22×C7311yescharacteristic, complemented
780#400C22×C7311yescharacteristic, complemented
781#400C22×C7311yescharacteristic, complemented
782#400C22×C7311yescharacteristic, complemented
783#400C22×C7311yescharacteristic, complemented
784#400C22×C7311yescharacteristic, complemented
785#400C22×C7311yescharacteristic, complemented
786#400C22×C7311yescharacteristic, complemented
787#400C22×C7311yescharacteristic, complemented
788#400C22×C7311yescharacteristic, complemented
789#400C22×C7311yescharacteristic, complemented
790#399C22×C7311yescharacteristic
791#399C22×C7311yescharacteristic, complemented
792#399C22×C7311yescharacteristic, complemented
793#398C22×C7311yescharacteristic, complemented
794#398C22×C7311yescharacteristic, complemented
795#398C22×C7311yescharacteristic, complemented
796#398C22×C7311yescharacteristic, complemented
797#398C22×C7311yescharacteristic, complemented
798#398C22×C7311yescharacteristic, complemented
799#398C22×C7311yescharacteristic, complemented
800#398C22×C7311yescharacteristic, complemented
801#398C22×C7311yescharacteristic, complemented
802#397C22×C7311yescharacteristic
803#397C22×C7311yescharacteristic
804#397C22×C7311yescharacteristic
805#397C22×C7311yescharacteristic
806#397C22×C7311yescharacteristic
807#397C22×C7311yescharacteristic
808#397C22×C7311yescharacteristic
809#397C22×C7311yescharacteristic
810#397C22×C7311yescharacteristic, complemented
811#397C22×C7311yescharacteristic, complemented
812#397C22×C7311yescharacteristic, complemented
813#397C22×C7311yescharacteristic, complemented
814#396C22×C7311yescharacteristic
815#396C22×C7311yescharacteristic
816#396C22×C7311yescharacteristic, complemented
817#395C22×C7311yescharacteristic, complemented
818#395C22×C7311yescharacteristic, complemented
819#394C22×C7311yescharacteristic
820#394C22×C7311yescharacteristic
821#394C22×C7311yescharacteristic
822#394C22×C7311yescharacteristic
823#393C22×C7311yescharacteristic
824#393C22×C7311yescharacteristic, complemented
825#391C22×C7311yescharacteristic, complemented
826#390C22×C7311yescharacteristic
827#390C22×C7311yescharacteristic
828#389C22×C7311yescharacteristic, complemented
829#389C22×C7311yescharacteristic, complemented
830#389C22×C7311yescharacteristic, complemented
831#388C22×C7311yescharacteristic
832#388C22×C7311yescharacteristic
833#388C22×C7311yescharacteristic
834#388C22×C7311yescharacteristic
835#388C22×C7311yescharacteristic
836#388C22×C7311yescharacteristic
837#388C22×C7311yescharacteristic
838#388C22×C7311yescharacteristic
839#388C22×C7311yescharacteristic
840#388C22×C7311yescharacteristic
841#388C22×C7311yescharacteristic
842#388C22×C7311yescharacteristic
843#388C22×C7311yescharacteristic, complemented
844#388C22×C7311yescharacteristic, complemented
845#388C22×C7311yescharacteristic, complemented
846#387C22×C7311yescharacteristic, complemented
847#387C22×C7311yescharacteristic, complemented
848#387C22×C7311yescharacteristic, complemented
849#387C22×C7311yescharacteristic, complemented
850#387C22×C7311yescharacteristic, complemented
851#387C22×C7311yescharacteristic, complemented
852#387C22×C7311yescharacteristic, complemented
853#387C22×C7311yescharacteristic, complemented
854#387C22×C7311yescharacteristic, complemented
855#387C22×C7311yescharacteristic, complemented
856#387C22×C7311yescharacteristic, complemented
857#387C22×C7311yescharacteristic, complemented
858#387C22×C7311yescharacteristic, complemented
859#387C22×C7311yescharacteristic, complemented
860#387C22×C7311yescharacteristic, complemented
861#386C22×C7311yescharacteristic
862#386C22×C7311yescharacteristic
863#386C22×C7311yescharacteristic
864#386C22×C7311yescharacteristic
865#386C22×C7311yescharacteristic
866#386C22×C7311yescharacteristic
867#386C22×C7311yescharacteristic
868#386C22×C7311yescharacteristic
869#386C22×C7311yescharacteristic
870#385C22×C7311yescharacteristic
871#385C22×C7311yescharacteristic
872#385C22×C7311yescharacteristic
873#385C22×C7311yescharacteristic
874#385C22×C7311yescharacteristic
875#385C22×C7311yescharacteristic
876#385C22×C7311yescharacteristic
877#385C22×C7311yescharacteristic
878#385C22×C7311yescharacteristic
879#385C22×C7311yescharacteristic
880#385C22×C7311yescharacteristic
881#385C22×C7311yescharacteristic
882#385C22×C7311yescharacteristic
883#385C22×C7311yescharacteristic
884#385C22×C7311yescharacteristic
885#385C22×C7311yescharacteristic
886#385C22×C7311yescharacteristic
887#385C22×C7311yescharacteristic
888#385C22×C7311yescharacteristic
889#385C22×C7311yescharacteristic, complemented
890#385C22×C7311yescharacteristic, complemented
891#383C22×C7311yescharacteristic, complemented
892#383C22×C7311yescharacteristic, complemented
893#382C22×C7311yescharacteristic, complemented
894#382C22×C7311yescharacteristic, complemented
895#381C22×C7311yescharacteristic
896#381C22×C7311yescharacteristic
897#381C22×C7311yescharacteristic
898#381C22×C7311yescharacteristic
899#381C22×C7311yescharacteristic
900#381C22×C7311yescharacteristic
901#381C22×C7311yescharacteristic, complemented
902#380C22×C7311yescharacteristic
903#380C22×C7311yescharacteristic
904#380C22×C7311yescharacteristic
905#380C22×C7311yescharacteristic
906#380C22×C7311yescharacteristic
907#380C22×C7311yescharacteristic
908#380C22×C7311yescharacteristic
909#380C22×C7311yescharacteristic
910#380C22×C7311yescharacteristic
911#380C22×C7311yescharacteristic
912#380C22×C7311yescharacteristic, complemented
913#379C22×C7311yescharacteristic
914C4×C22⋊C4C22×C7311yescharacteristic
915C2×#95C22×C7311yescharacteristic
916C2×#95C22×C7311yescharacteristic
917C25C23×C7311yescharacteristic
918C22×Q8C23×C7311yescharacteristic
919C22×D4C23×C7311yescharacteristic
920C22×D4C23×C7311yescharacteristic
921C22×D4C23×C7311yescharacteristic
922C23×C4C23×C7311yescharacteristic
923C23×C4C23×C7311yescharacteristic
924C23×C4C23×C7311yescharacteristic
925C23×C4C23×C7311yescharacteristic
926C23×C4C23×C7311yescharacteristic
927C23×C4C23×C7311yescharacteristic
928C23×C4C23×C7311yescharacteristic
929C23×C4C23×C7311yescharacteristic
930C23×C4C23×C7311yescharacteristic
931C23×C4C23×C7311yescharacteristic
932C23×C4C23×C7311yescharacteristic
933#126—42no—
934#125—42no—
935#123—42no—
936#123—42no—
937C22⋊Q8—42no—
938C22⋊Q8—42no—
939#120—24no—
940C4×D4—42no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4C23×C7311yescharacteristic
943C2×C4⋊C4C23×C7311yescharacteristic
944C2×C4⋊C4C23×C7311yescharacteristic
945C2×C4⋊C4C23×C7311yescharacteristic
946C2×C4⋊C4C23×C7311yescharacteristic
947C2×C4⋊C4C23×C7311yescharacteristic
948C2×C4⋊C4C23×C7311yescharacteristic
949C2×C4⋊C4C23×C7311yescharacteristic
950C2×C4⋊C4C23×C7311yescharacteristic
951C2×C4⋊C4C23×C7311yescharacteristic
952C2×C4⋊C4C23×C7311yescharacteristic
953C2×C4⋊C4C23×C7311yescharacteristic
954C2×C4⋊C4C23×C7311yescharacteristic
955C2×C4⋊C4C23×C7311yescharacteristic
956C2×C4⋊C4C23×C7311yescharacteristic
957C2×C4⋊C4C23×C7311yescharacteristic
958C2×C4⋊C4C23×C7311yescharacteristic
959C2×C4⋊C4C23×C7311yescharacteristic
960C2×C4⋊C4C23×C7311yescharacteristic
961C2×C4⋊C4C23×C7311yescharacteristic
962C2×C4⋊C4C23×C7311yescharacteristic
963C2×C4⋊C4C23×C7311yescharacteristic
964C2×C4⋊C4C23×C7311yescharacteristic
965C2×C4⋊C4C23×C7311yescharacteristic
966C2×C4⋊C4C23×C7311yescharacteristic
967C2×C4⋊C4C23×C7311yescharacteristic
968C2×C4⋊C4C23×C7311yescharacteristic
969C2×C4⋊C4C23×C7311yescharacteristic
970C2×C4⋊C4C23×C7311yescharacteristic
971C2×C4⋊C4C23×C7311yescharacteristic
972C2×C4⋊C4C23×C7311yescharacteristic
973C2×C4⋊C4C23×C7311yescharacteristic
974C2×C4⋊C4C23×C7311yescharacteristic
975C2×C4⋊C4C23×C7311yescharacteristic
976C2×C4⋊C4C23×C7311yescharacteristic
977C2×C4⋊C4C23×C7311yescharacteristic
978C2×C22⋊C4—24no—
979C2×C22⋊C4—24no—
980C2×C22⋊C4—42no—
981C2×C22⋊C4—42no—
982C2×C22⋊C4—42no—
983C2×C22⋊C4C23×C7311yescharacteristic
984C2×C22⋊C4C23×C7311yescharacteristic
985C2×C22⋊C4C23×C7311yescharacteristic
986C2×C22⋊C4C23×C7311yescharacteristic
987C2×C22⋊C4C23×C7311yescharacteristic
988C2×C22⋊C4C23×C7311yescharacteristic
989C2×C22⋊C4C23×C7311yescharacteristic
990C2×C22⋊C4C23×C7311yescharacteristic
991C2×C22⋊C4C23×C7311yescharacteristic
992C2×C22⋊C4C23×C7311yescharacteristic
993C2×C22⋊C4C23×C7311yescharacteristic
994C2×C22⋊C4C23×C7311yescharacteristic
995C2×C22⋊C4C23×C7311yescharacteristic
996C2×C22⋊C4C23×C7311yescharacteristic
997C2×C22⋊C4C23×C7311yescharacteristic
998C2×C22⋊C4C23×C7311yescharacteristic
999C2×C22⋊C4C23×C7311yescharacteristic
1000C2×C22⋊C4C23×C7311yescharacteristic
1001C2×C22⋊C4C23×C7311yescharacteristic
1002C2×C22⋊C4C23×C7311yescharacteristic
1003C2×C22⋊C4C23×C7311yescharacteristic
1004C2×C22⋊C4C23×C7311yescharacteristic
1005C2×C22⋊C4C23×C7311yescharacteristic
1006C2×C22⋊C4C23×C7311yescharacteristic
1007C2×C22⋊C4C23×C7311yescharacteristic
1008C2×C22⋊C4C23×C7311yescharacteristic
1009C2×C22⋊C4C23×C7311yescharacteristic
1010C2×C22⋊C4C23×C7311yescharacteristic
1011C2×C22⋊C4C23×C7311yescharacteristic
1012C2×C22⋊C4C23×C7311yescharacteristic
1013C2×C22⋊C4C23×C7311yescharacteristic
1014C2×C22⋊C4C23×C7311yescharacteristic
1015C2×C22⋊C4C23×C7311yescharacteristic
1016C2×C22⋊C4C23×C7311yescharacteristic
1017C2×C22⋊C4C23×C7311yescharacteristic
1018C2×C22⋊C4C23×C7311yescharacteristic
1019C2×C22⋊C4C23×C7311yescharacteristic
1020C2×C22⋊C4C23×C7311yescharacteristic
1021C2×C22⋊C4C23×C7311yescharacteristic
1022C2×C22⋊C4C23×C7311yescharacteristic
1023C2×C42—42no—
1024C2×C42C23×C7311yescharacteristic
1025C2×C42C23×C7311yescharacteristic
1026C2×C42C23×C7311yescharacteristic
1027C2×C42C23×C7311yescharacteristic
1028C2×C42C23×C7311yescharacteristic
1029C2×C42C23×C7311yescharacteristic
1030C2×C42C23×C7311yescharacteristic
1031#95C23×C7311yescharacteristic
1032#95C23×C7311yescharacteristic
1033#95C23×C7311yescharacteristic
1034#95C23×C7311yescharacteristic
1035#95C23×C7311yescharacteristic
1036#95C23×C7311yescharacteristic
1037#95C23×C7311yescharacteristic
1038#95C23×C7311yescharacteristic
1039#95C23×C7311yescharacteristic
1040#95C23×C7311yescharacteristic
1041#95C23×C7311yescharacteristic
1042#95C23×C7311yescharacteristic
1043#95C23×C7311yescharacteristic
1044#95C23×C7311yescharacteristic
1045#95C23×C7311yescharacteristic
1046#95C23×C7311yescharacteristic
1047#95C23×C7311yescharacteristic
1048#95C23×C7311yescharacteristic
1049#95C23×C7311yescharacteristic
1050#95C23×C7311yescharacteristic
1051#95C23×C7311yescharacteristic
1052#95C23×C7311yescharacteristic
1053#95C23×C7311yescharacteristic
1054#95C23×C7311yescharacteristic
1055#95C23×C7311yescharacteristic
1056#95C23×C7311yescharacteristic
1057#95C23×C7311yescharacteristic
1058#95C23×C7311yescharacteristic
1059#95C23×C7311yescharacteristic
1060#95C23×C7311yescharacteristic
1061#95C23×C7311yescharacteristic
1062#95C23×C7311yescharacteristic
1063#95C23×C7311yescharacteristic
1064#95C23×C7311yescharacteristic
1065#95C23×C7311yescharacteristic
1066#95C23×C7311yescharacteristic
1067#95C23×C7311yescharacteristic
1068#95C23×C7311yescharacteristic
1069#95C23×C7311yescharacteristic
1070#95C23×C7311yescharacteristic
1071#95C23×C7311yescharacteristic
1072#95C23×C7311yescharacteristic
1073#95C23×C7311yescharacteristic
1074#95C23×C7311yescharacteristic
1075#95C23×C7311yescharacteristic
1076#95C23×C7311yescharacteristic
1077#95C23×C7311yescharacteristic
1078#95C23×C7311yescharacteristic
1079#95C23×C7311yescharacteristic
1080#95C23×C7311yescharacteristic
1081#95C23×C7311yescharacteristic
1082#95C23×C7311yescharacteristic
1083#95C23×C7311yescharacteristic
1084#95C23×C7311yescharacteristic
1085#95C23×C7311yescharacteristic
1086#95C23×C7311yescharacteristic
1087C24—22no—
1088C24—22no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24#41×C7314yes—
1094C24C24×C7311yescharacteristic
1095C24C24×C7311yescharacteristic
1096C24C24×C7311yescharacteristic
1097C24C24×C7311yescharacteristic
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4C24×C7311yescharacteristic
1144C22×C4C24×C7311yescharacteristic
1145C22×C4C24×C7311yescharacteristic
1146C22×C4C24×C7311yescharacteristic
1147C22×C4C24×C7311yescharacteristic
1148C22×C4C24×C7311yescharacteristic
1149C22×C4C24×C7311yescharacteristic
1150C22×C4C24×C7311yescharacteristic
1151C22×C4C24×C7311yescharacteristic
1152C22×C4C24×C7311yescharacteristic
1153C22×C4C24×C7311yescharacteristic
1154C22×C4C24×C7311yescharacteristic
1155C22×C4C24×C7311yescharacteristic
1156C22×C4C24×C7311yescharacteristic
1157C22×C4C24×C7311yescharacteristic
1158C22×C4C24×C7311yescharacteristic
1159C22×C4C24×C7311yescharacteristic
1160C22×C4C24×C7311yescharacteristic
1161C22×C4C24×C7311yescharacteristic
1162C22×C4C24×C7311yescharacteristic
1163C22×C4C24×C7311yescharacteristic
1164C22×C4C24×C7311yescharacteristic
1165C22×C4C24×C7311yescharacteristic
1166C22×C4C24×C7311yescharacteristic
1167C22×C4C24×C7311yescharacteristic
1168C22×C4C24×C7311yescharacteristic
1169C22×C4C24×C7311yescharacteristic
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C42—22no—
1247C42—22no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C42—41no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—28no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—44no—
1278C23—44no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23—82no—
1283C23C2×#41×C7312yes—
1284C23C2×#41×C7312yes—
1285C23C2×#41×C7312yes—
1286C23H(5,𝔽2)×C7312yes—
1287C232−1+4×C7312yes—
1288C23C25×C7311yescharacteristic
1289Q8—82no—
1290D4—44no—
1291D4—82no—
1292D4—82no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—82no—
1383C2×C4—82no—
1384C2×C4H(5,𝔽2)×C7312yes—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—88no—
1413C22#539×C7314yes—
1414C22C22×#41×C7311yescharacteristic
1415C22C2×H(5,𝔽2)×C7311yescharacteristic
1416C22C2×H(5,𝔽2)×C7311yescharacteristic
1417C22C2×2−1+4×C7311yescharacteristic
1418C22#585×C7311yescharacteristic
1419C22#585×C7311yescharacteristic
1420C22#585×C7311yescharacteristic
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C2—24no—
1449C2—42no—
1450C2—42no—
1451C2—81no—
1452C2C2×#539×C7311yescharacteristic
1453C2C73×#349111yescharacteristic
1454C2C73×#350511yescharacteristic
1455C2C73×#353511yescharacteristic
1456C2C73×#354211yescharacteristic
1457C2C73×#354511yescharacteristic
1458C2C73×#356411yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC2×#120×C73C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2852C2semidirect
2. C73×#2851C2semidirect
3. C73×#2786C2semidirect
4. C73×#2782C2semidirect
5. C73×#2770C2semidirect
6. C73×#2770C2semidirect
7. C73×#2747C2semidirect
8. C73×#2746C2semidirect
9. C73×#2745C2semidirect
10. C73×#2744C2semidirect
11. C73×#2744C2semidirect
12. C73×#2743C2semidirect
13. C73×#2738C2semidirect
14. C73×#2737C2semidirect
15. C73×#2723C2semidirect
16. C73×#2695C2semidirect
17. C73×#2694C2semidirect
18. C73×#2690C2semidirect
19. C73×#2627C2semidirect
20. C73×#2623C2semidirect
21. C73×#2505C2semidirect
22. C73×#2493C2semidirect
23. C73×#2483C2semidirect
24. C73×#2450C2semidirect
25. C73×#2437C2semidirect
26. C73×#2419C2semidirect
30. C73×#2315C2semidirect
31. C2×#388×C73C2semidirect
32. C2×#126×C73C22semidirect
33. C2×#125×C73C22semidirect
47. #401×C73C22semidirect
48. #400×C73C22semidirect
49. #400×C73C22semidirect
50. #400×C73C22semidirect
51. #400×C73C22semidirect
52. #400×C73C22semidirect
53. #400×C73C22semidirect
54. #400×C73C22semidirect
55. #400×C73C22semidirect
56. #400×C73C22semidirect
57. #400×C73C22semidirect
58. #400×C73C22semidirect
59. #400×C73C22semidirect
61. #399×C73C22semidirect
62. #399×C73C22semidirect
63. #398×C73C22semidirect
64. #398×C73C22semidirect
65. #398×C73C22semidirect
66. #398×C73C22semidirect
67. #398×C73C22semidirect
68. #398×C73C22semidirect
69. #398×C73C22semidirect
70. #398×C73C22semidirect
71. #398×C73C22semidirect
80. #397×C73C22semidirect
81. #397×C73C22semidirect
82. #397×C73C22semidirect
83. #397×C73C22semidirect
86. #396×C73C22semidirect
87. #395×C73C22semidirect
88. #395×C73C22semidirect
94. #393×C73C22semidirect
95. #391×C73C22semidirect
98. #389×C73C22semidirect
99. #389×C73C22semidirect
100. #389×C73C22semidirect
113. #388×C73C22semidirect
114. #388×C73C22semidirect
115. #388×C73C22semidirect
116. #387×C73C22semidirect
117. #387×C73C22semidirect
118. #387×C73C22semidirect
119. #387×C73C22semidirect
120. #387×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
159. #385×C73C22semidirect
160. #385×C73C22semidirect
161. #383×C73C22semidirect
162. #383×C73C22semidirect
163. #382×C73C22semidirect
164. #382×C73C22semidirect
171. #381×C73C22semidirect
182. #380×C73C22semidirect
718. #36780C73direct (N × H)
730. #2852C2×C73semidirect
731. #2851C2×C73semidirect
732. #2786C2×C73semidirect
733. #2782C2×C73semidirect
734. #2770C2×C73semidirect
735. #2770C2×C73semidirect
736. #2747C2×C73semidirect
737. #2746C2×C73semidirect
738. #2745C2×C73semidirect
739. #2744C2×C73semidirect
740. #2744C2×C73semidirect
741. #2743C2×C73semidirect
742. #2738C2×C73semidirect
743. #2737C2×C73semidirect
744. #2723C2×C73semidirect
745. #2695C2×C73semidirect
746. #2694C2×C73semidirect
747. #2690C2×C73semidirect
748. #2627C2×C73semidirect
749. #2623C2×C73semidirect
750. #2505C2×C73semidirect
751. #2493C2×C73semidirect
752. #2483C2×C73semidirect
753. #2450C2×C73semidirect
754. #2437C2×C73semidirect
755. #2419C2×C73semidirect
759. #2315C2×C73semidirect
760. C2×#388C2×C73semidirect
761. C73#36780direct (N × H)
762. C2×#126C22×C73semidirect
763. C2×#125C22×C73semidirect
777. #401C22×C73semidirect
778. #400C22×C73semidirect
779. #400C22×C73semidirect
780. #400C22×C73semidirect
781. #400C22×C73semidirect
782. #400C22×C73semidirect
783. #400C22×C73semidirect
784. #400C22×C73semidirect
785. #400C22×C73semidirect
786. #400C22×C73semidirect
787. #400C22×C73semidirect
788. #400C22×C73semidirect
789. #400C22×C73semidirect
791. #399C22×C73semidirect
792. #399C22×C73semidirect
793. #398C22×C73semidirect
794. #398C22×C73semidirect
795. #398C22×C73semidirect
796. #398C22×C73semidirect
797. #398C22×C73semidirect
798. #398C22×C73semidirect
799. #398C22×C73semidirect
800. #398C22×C73semidirect
801. #398C22×C73semidirect
810. #397C22×C73semidirect
811. #397C22×C73semidirect
812. #397C22×C73semidirect
813. #397C22×C73semidirect
816. #396C22×C73semidirect
817. #395C22×C73semidirect
818. #395C22×C73semidirect
824. #393C22×C73semidirect
825. #391C22×C73semidirect
828. #389C22×C73semidirect
829. #389C22×C73semidirect
830. #389C22×C73semidirect
843. #388C22×C73semidirect
844. #388C22×C73semidirect
845. #388C22×C73semidirect
846. #387C22×C73semidirect
847. #387C22×C73semidirect
848. #387C22×C73semidirect
849. #387C22×C73semidirect
850. #387C22×C73semidirect
851. #387C22×C73semidirect
852. #387C22×C73semidirect
853. #387C22×C73semidirect
854. #387C22×C73semidirect
855. #387C22×C73semidirect
856. #387C22×C73semidirect
857. #387C22×C73semidirect
858. #387C22×C73semidirect
859. #387C22×C73semidirect
860. #387C22×C73semidirect
889. #385C22×C73semidirect
890. #385C22×C73semidirect
891. #383C22×C73semidirect
892. #383C22×C73semidirect
893. #382C22×C73semidirect
894. #382C22×C73semidirect
901. #381C22×C73semidirect
912. #380C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28522
C73×#28512
C73×#27862
C73×#27822
C73×#27702
C73×#27472
C73×#27462
C73×#27452
C73×#27442
C73×#27432
C73×#27382
C73×#27372
C73×#27232
C73×#26952
C73×#26942
C73×#26902
C73×#26272
C73×#26232
C73×#25052
C73×#24932
C73×#24832
C73×#24502
C73×#24372
C73×#24192
C73×#24122
C73×#23212
C73×#23152
C2×#388×C732
#3678073