Finite Group Databasebeta

← C73×#36785 #32946189

Subgroups — C73×#36785 #32946189

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2853C211yesmaximal, characteristic, complemented
2C73×#2850C211yesmaximal, characteristic, complemented
3C73×#2782C211yesmaximal, characteristic, complemented
4C73×#2769C211yesmaximal, characteristic, complemented
5C73×#2761C211yesmaximal, characteristic, complemented
6C73×#2756C211yesmaximal, characteristic, complemented
7C73×#2749C211yesmaximal, characteristic, complemented
8C73×#2747C211yesmaximal, characteristic, complemented
9C73×#2746C211yesmaximal, characteristic, complemented
10C73×#2746C211yesmaximal, characteristic, complemented
11C73×#2730C211yesmaximal, characteristic, complemented
12C73×#2698C211yesmaximal, characteristic, complemented
13C73×#2691C211yesmaximal, characteristic, complemented
14C73×#2688C211yesmaximal, characteristic, complemented
15C73×#2688C211yesmaximal, characteristic, complemented
16C73×#2686C211yesmaximal, characteristic, complemented
17C73×#2681C211yesmaximal, characteristic, complemented
18C73×#2671C211yesmaximal, characteristic, complemented
19C73×#2654C211yesmaximal, characteristic, complemented
20C73×#2651C211yesmaximal, characteristic, complemented
21C73×#2600C211yesmaximal, characteristic, complemented
22C73×#2578C211yesmaximal, characteristic, complemented
23C73×#2559C211yesmaximal, characteristic, complemented
24C73×#2543C211yesmaximal, characteristic, complemented
25C73×#2527C211yesmaximal, characteristic, complemented
26C73×#2526C211yesmaximal, characteristic, complemented
27C73×#2438C211yesmaximal, characteristic, complemented
28C73×#2414C211yesmaximal, characteristic, complemented
29C73×#2333C211yesmaximal, characteristic, complemented
30C73×#2318C211yesmaximal, characteristic, complemented
31C73×#2290C211yesmaximal, characteristic, complemented
32C2×#126×C73C2211yescharacteristic
33C2×#124×C73C2211yescharacteristic
34C2×#123×C73C2211yescharacteristic
35C2×C22⋊Q8×C73C2211yescharacteristic
36C2×C22⋊Q8×C73C2211yescharacteristic
37C2×#121×C73C2211yescharacteristic
38C2×#121×C73C2211yescharacteristic
39C2×#121×C73C2211yescharacteristic
40C2×#121×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×C4×D4×C73C2211yescharacteristic
44C2×C4×D4×C73C2211yescharacteristic
45C2×#117×C73C2211yescharacteristic
46C22×C42×C73C2211yescharacteristic
47#401×C73C2211yescharacteristic
48#400×C73C2211yescharacteristic
49#400×C73C2211yescharacteristic
50#400×C73C2211yescharacteristic
51#400×C73C2211yescharacteristic
52#400×C73C2211yescharacteristic
53#400×C73C2211yescharacteristic
54#400×C73C2211yescharacteristic
55#399×C73C2211yescharacteristic
56#399×C73C2211yescharacteristic
57#398×C73C2211yescharacteristic
58#398×C73C2211yescharacteristic
59#398×C73C2211yescharacteristic
60#398×C73C2211yescharacteristic
61#398×C73C2211yescharacteristic
62#398×C73C2211yescharacteristic
63#398×C73C2211yescharacteristic
64#397×C73C2211yescharacteristic
65#397×C73C2211yescharacteristic
66#397×C73C2211yescharacteristic
67#397×C73C2211yescharacteristic
68#397×C73C2211yescharacteristic
69#397×C73C2211yescharacteristic
70#397×C73C2211yescharacteristic
71#397×C73C2211yescharacteristic
72#397×C73C2211yescharacteristic
73#397×C73C2211yescharacteristic
74#396×C73C2211yescharacteristic
75#396×C73C2211yescharacteristic
76#396×C73C2211yescharacteristic
77#395×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
79#394×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#394×C73C2211yescharacteristic
82#394×C73C2211yescharacteristic
83#394×C73C2211yescharacteristic
84#394×C73C2211yescharacteristic
85#394×C73C2211yescharacteristic
86#394×C73C2211yescharacteristic
87#394×C73C2211yescharacteristic
88#394×C73C2211yescharacteristic
89#394×C73C2211yescharacteristic
90#393×C73C2211yescharacteristic
91#392×C73C2211yescharacteristic
92#392×C73C2211yescharacteristic
93#392×C73C2211yescharacteristic
94#392×C73C2211yescharacteristic
95#391×C73C2211yescharacteristic
96#391×C73C2211yescharacteristic
97#390×C73C2211yescharacteristic
98#390×C73C2211yescharacteristic
99#390×C73C2211yescharacteristic
100#390×C73C2211yescharacteristic
101#390×C73C2211yescharacteristic
102#389×C73C2211yescharacteristic
103#389×C73C2211yescharacteristic
104#389×C73C2211yescharacteristic
105#388×C73C2211yescharacteristic
106#388×C73C2211yescharacteristic
107#388×C73C2211yescharacteristic
108#388×C73C2211yescharacteristic
109#388×C73C2211yescharacteristic
110#388×C73C2211yescharacteristic
111#388×C73C2211yescharacteristic
112#388×C73C2211yescharacteristic
113#388×C73C2211yescharacteristic
114#388×C73C2211yescharacteristic
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic
118#388×C73C2211yescharacteristic
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic
121#388×C73C2211yescharacteristic
122#388×C73C2211yescharacteristic
123#388×C73C2211yescharacteristic
124#387×C73C2211yescharacteristic
125#387×C73C2211yescharacteristic
126#387×C73C2211yescharacteristic
127#387×C73C2211yescharacteristic
128#387×C73C2211yescharacteristic
129#387×C73C2211yescharacteristic
130#387×C73C2211yescharacteristic
131#387×C73C2211yescharacteristic
132#387×C73C2211yescharacteristic
133#387×C73C2211yescharacteristic
134#387×C73C2211yescharacteristic
135#387×C73C2211yescharacteristic
136#387×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#386×C73C2211yescharacteristic
142#386×C73C2211yescharacteristic
143#386×C73C2211yescharacteristic
144#386×C73C2211yescharacteristic
145#386×C73C2211yescharacteristic
146#386×C73C2211yescharacteristic
147#386×C73C2211yescharacteristic
148#386×C73C2211yescharacteristic
149#386×C73C2211yescharacteristic
150#386×C73C2211yescharacteristic
151#386×C73C2211yescharacteristic
152#386×C73C2211yescharacteristic
153#386×C73C2211yescharacteristic
154#386×C73C2211yescharacteristic
155#386×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic
157#385×C73C2211yescharacteristic
158#385×C73C2211yescharacteristic
159#385×C73C2211yescharacteristic
160#385×C73C2211yescharacteristic
161#385×C73C2211yescharacteristic
162#385×C73C2211yescharacteristic
163#385×C73C2211yescharacteristic
164#385×C73C2211yescharacteristic
165#385×C73C2211yescharacteristic
166#385×C73C2211yescharacteristic
167#383×C73C2211yescharacteristic
168#383×C73C2211yescharacteristic
169#382×C73C2211yescharacteristic
170#382×C73C2211yescharacteristic
171#381×C73C2211yescharacteristic
172#381×C73C2211yescharacteristic
173#381×C73C2211yescharacteristic
174#381×C73C2211yescharacteristic
175#381×C73C2211yescharacteristic
176#380×C73C2211yescharacteristic
177#380×C73C2211yescharacteristic
178#380×C73C2211yescharacteristic
179#380×C73C2211yescharacteristic
180C4×C4⋊C4×C73C2211yescharacteristic
181C4×C22⋊C4×C73C2211yescharacteristic
182C4×C22⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic
185#376×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C22×Q8×C73C2311yescharacteristic
188C22×D4×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C23×C4×C73C2311yescharacteristic
199C23×C4×C73C2311yescharacteristic
200C23×C4×C73C2311yescharacteristic
201C23×C4×C73C2311yescharacteristic
202C23×C4×C73C2311yescharacteristic
203C23×C4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207#126×C73—42no—
208#124×C73—42no—
209#123×C73—42no—
210C22⋊Q8×C73—42no—
211C22⋊Q8×C73—42no—
212#121×C73—24no—
213#121×C73—42no—
214#121×C73—42no—
215#121×C73—42no—
216#121×C73—42no—
217#121×C73—42no—
218C4×D4×C73—24no—
219C4×D4×C73—24no—
220#117×C73—42no—
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×C4⋊C4×C73C2311yescharacteristic
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C22⋊C4×C73C2311yescharacteristic
251C2×C22⋊C4×C73C2311yescharacteristic
252C2×C22⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C42×C73—42no—
297C2×C42×C73C2311yescharacteristic
298C2×C42×C73C2311yescharacteristic
299C2×C42×C73C2311yescharacteristic
300C2×C42×C73C2311yescharacteristic
301C2×C42×C73C2311yescharacteristic
302C2×C42×C73C2311yescharacteristic
303C2×C42×C73C2311yescharacteristic
304C2×C42×C73C2311yescharacteristic
305C2×C42×C73C2311yescharacteristic
306C2×C42×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×C73C2411yescharacteristic
358C24×C73C2411yescharacteristic
359C24×C73C2411yescharacteristic
360C24×C73C2411yescharacteristic
361C24×C73C2411yescharacteristic
362C2×Q8×C73—22no—
363C2×Q8×C73—41no—
364C2×Q8×C73—41no—
365C2×D4×C73—22no—
366C2×D4×C73—22no—
367C2×D4×C73—22no—
368C2×D4×C73—22no—
369C2×D4×C73—22no—
370C2×D4×C73—22no—
371C2×D4×C73—22no—
372C2×D4×C73—22no—
373C2×D4×C73—22no—
374C2×D4×C73—22no—
375C2×D4×C73—41no—
376C2×D4×C73—41no—
377C2×D4×C73—41no—
378C2×D4×C73—41no—
379C2×D4×C73—41no—
380C2×D4×C73—41no—
381C2×D4×C73—41no—
382C2×D4×C73—41no—
383C2×D4×C73—41no—
384C2×D4×C73—41no—
385C2×D4×C73—41no—
386C2×D4×C73—41no—
387C2×D4×C73—41no—
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—
395C22×C4×C73—22no—
396C22×C4×C73—22no—
397C22×C4×C73—22no—
398C22×C4×C73—22no—
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×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#4114yes—
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
440C22×C4×C73C2411yescharacteristic
441C22×C4×C73C2411yescharacteristic
442C22×C4×C73C2411yescharacteristic
443C22×C4×C73C2411yescharacteristic
444C22×C4×C73C2411yescharacteristic
445C22×C4×C73C2411yescharacteristic
446C22×C4×C73C2411yescharacteristic
447C22×C4×C73C2411yescharacteristic
448C4⋊C4×C73—22no—
449C4⋊C4×C73—22no—
450C4⋊C4×C73—22no—
451C4⋊C4×C73—22no—
452C4⋊C4×C73—22no—
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—
476C4⋊C4×C73—41no—
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—41no—
490C22⋊C4×C73—41no—
491C22⋊C4×C73—41no—
492C22⋊C4×C73—41no—
493C22⋊C4×C73—41no—
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—
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—
523C42×C73—22no—
524C42×C73—22no—
525C42×C73—22no—
526C42×C73—22no—
527C42×C73—41no—
528C42×C73—41no—
529C42×C73—41no—
530C42×C73—41no—
531C42×C73—41no—
532C42×C73—41no—
533C23×C73—21no—
534C23×C73—21no—
535C23×C73—21no—
536C23×C73—21no—
537C23×C73—21no—
538C23×C73—21no—
539C23×C73—21no—
540C23×C73—21no—
541C23×C73—21no—
542C23×C73—21no—
543C23×C73—21no—
544C23×C73—21no—
545C23×C73—21no—
546C23×C73—21no—
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×C73C2×#4112yes—
567C23×C73H(5,𝔽2)12yes—
568C23×C73C2511yescharacteristic
569Q8×C73—82no—
570D4×C73—44no—
571D4×C73—44no—
572D4×C73—82no—
573D4×C73—82no—
574D4×C73—82no—
575D4×C73—82no—
576D4×C73—82no—
577D4×C73—82no—
578D4×C73—82no—
579D4×C73—82no—
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—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—44no—
656C2×C4×C73—44no—
657C2×C4×C73—44no—
658C2×C4×C73—44no—
659C2×C4×C73—82no—
660C2×C4×C73—82no—
661C2×C4×C73—82no—
662C2×C4×C73—82no—
663C2×C4×C73—82no—
664C2×C4×C73C2×#4112yes—
665C2×C4×C73C2×#4112yes—
666C2×C4×C73H(5,𝔽2)12yes—
667C22×C73—22no—
668C22×C73—22no—
669C22×C73—22no—
670C22×C73—22no—
671C22×C73—22no—
672C22×C73—22no—
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—41no—
683C22×C73—41no—
684C22×C73—41no—
685C22×C73—41no—
686C22×C73—41no—
687C22×C73—41no—
688C22×C73—41no—
689C22×C73—41no—
690C22×C73—41no—
691C22×C73—41no—
692C22×C73—41no—
693C22×C73—41no—
694C22×C73—41no—
695C22×C73—41no—
696C22×C73—41no—
697C22×C73—41no—
698C22×C73—41no—
699C22×C73—41no—
700C22×C73—41no—
701C22×C73—41no—
702C22×C73C22×#4111yescharacteristic
703C22×C73C2×H(5,𝔽2)11yescharacteristic
704C22×C73C2×H(5,𝔽2)11yescharacteristic
705C22×C73#58511yescharacteristic
706C22×C73#58511yescharacteristic
707C22×C73#58511yescharacteristic
708C22×C73#58511yescharacteristic
709C4×C73—22no—
710C4×C73—22no—
711C4×C73—22no—
712C4×C73—41no—
713C4×C73—41no—
714C4×C73—41no—
715C4×C73—41no—
716C4×C73—41no—
717C4×C73—41no—
718C4×C73—41no—
719C4×C73—41no—
720C4×C73—41no—
721C4×C73—41no—
722C4×C73—41no—
723C4×C73—41no—
724C4×C73—41no—
725C4×C73—41no—
726C4×C73—41no—
727C4×C73—41no—
728C4×C73—41no—
729C4×C73—41no—
730C4×C73—41no—
731C4×C73—41no—
732C4×C73—41no—
733C4×C73—41no—
734C4×C73—41no—
735#36785C7311yesmaximal, characteristic, direct product factor, Sylow
736C2×C73—42no—
737C2×C73—42no—
738C2×C73—81no—
739C2×C73—81no—
740C2×C73—81no—
741C2×C73#345511yescharacteristic
742C2×C73#349411yescharacteristic
743C2×C73#350511yescharacteristic
744C2×C73#353411yescharacteristic
745C2×C73#353911yescharacteristic
746C2×C73#354511yescharacteristic
747C2×C73#356611yescharacteristic
748#2853C2×C7311yescharacteristic, complemented
749#2850C2×C7311yescharacteristic, complemented
750#2782C2×C7311yescharacteristic, complemented
751#2769C2×C7311yescharacteristic, complemented
752#2761C2×C7311yescharacteristic, complemented
753#2756C2×C7311yescharacteristic, complemented
754#2749C2×C7311yescharacteristic, complemented
755#2747C2×C7311yescharacteristic, complemented
756#2746C2×C7311yescharacteristic, complemented
757#2746C2×C7311yescharacteristic, complemented
758#2730C2×C7311yescharacteristic, complemented
759#2698C2×C7311yescharacteristic, complemented
760#2691C2×C7311yescharacteristic, complemented
761#2688C2×C7311yescharacteristic, complemented
762#2688C2×C7311yescharacteristic, complemented
763#2686C2×C7311yescharacteristic, complemented
764#2681C2×C7311yescharacteristic, complemented
765#2671C2×C7311yescharacteristic, complemented
766#2654C2×C7311yescharacteristic, complemented
767#2651C2×C7311yescharacteristic, complemented
768#2600C2×C7311yescharacteristic, complemented
769#2578C2×C7311yescharacteristic, complemented
770#2559C2×C7311yescharacteristic, complemented
771#2543C2×C7311yescharacteristic, complemented
772#2527C2×C7311yescharacteristic, complemented
773#2526C2×C7311yescharacteristic, complemented
774#2438C2×C7311yescharacteristic, complemented
775#2414C2×C7311yescharacteristic, complemented
776#2333C2×C7311yescharacteristic, complemented
777#2318C2×C7311yescharacteristic, complemented
778#2290C2×C7311yescharacteristic, complemented
779C73#3678511yescharacteristic, direct product factor, Sylow
780C2×#126C22×C7311yescharacteristic
781C2×#124C22×C7311yescharacteristic
782C2×#123C22×C7311yescharacteristic
783C2×C22⋊Q8C22×C7311yescharacteristic
784C2×C22⋊Q8C22×C7311yescharacteristic
785C2×#121C22×C7311yescharacteristic
786C2×#121C22×C7311yescharacteristic
787C2×#121C22×C7311yescharacteristic
788C2×#121C22×C7311yescharacteristic
789C2×#121C22×C7311yescharacteristic
790C2×#121C22×C7311yescharacteristic
791C2×C4×D4C22×C7311yescharacteristic
792C2×C4×D4C22×C7311yescharacteristic
793C2×#117C22×C7311yescharacteristic
794C22×C42C22×C7311yescharacteristic
795#401C22×C7311yescharacteristic
796#400C22×C7311yescharacteristic
797#400C22×C7311yescharacteristic
798#400C22×C7311yescharacteristic
799#400C22×C7311yescharacteristic
800#400C22×C7311yescharacteristic
801#400C22×C7311yescharacteristic
802#400C22×C7311yescharacteristic
803#399C22×C7311yescharacteristic
804#399C22×C7311yescharacteristic
805#398C22×C7311yescharacteristic
806#398C22×C7311yescharacteristic
807#398C22×C7311yescharacteristic
808#398C22×C7311yescharacteristic
809#398C22×C7311yescharacteristic
810#398C22×C7311yescharacteristic
811#398C22×C7311yescharacteristic
812#397C22×C7311yescharacteristic
813#397C22×C7311yescharacteristic
814#397C22×C7311yescharacteristic
815#397C22×C7311yescharacteristic
816#397C22×C7311yescharacteristic
817#397C22×C7311yescharacteristic
818#397C22×C7311yescharacteristic
819#397C22×C7311yescharacteristic
820#397C22×C7311yescharacteristic
821#397C22×C7311yescharacteristic
822#396C22×C7311yescharacteristic
823#396C22×C7311yescharacteristic
824#396C22×C7311yescharacteristic
825#395C22×C7311yescharacteristic
826#394C22×C7311yescharacteristic
827#394C22×C7311yescharacteristic
828#394C22×C7311yescharacteristic
829#394C22×C7311yescharacteristic
830#394C22×C7311yescharacteristic
831#394C22×C7311yescharacteristic
832#394C22×C7311yescharacteristic
833#394C22×C7311yescharacteristic
834#394C22×C7311yescharacteristic
835#394C22×C7311yescharacteristic
836#394C22×C7311yescharacteristic
837#394C22×C7311yescharacteristic
838#393C22×C7311yescharacteristic
839#392C22×C7311yescharacteristic
840#392C22×C7311yescharacteristic
841#392C22×C7311yescharacteristic
842#392C22×C7311yescharacteristic
843#391C22×C7311yescharacteristic
844#391C22×C7311yescharacteristic
845#390C22×C7311yescharacteristic
846#390C22×C7311yescharacteristic
847#390C22×C7311yescharacteristic
848#390C22×C7311yescharacteristic
849#390C22×C7311yescharacteristic
850#389C22×C7311yescharacteristic
851#389C22×C7311yescharacteristic
852#389C22×C7311yescharacteristic
853#388C22×C7311yescharacteristic
854#388C22×C7311yescharacteristic
855#388C22×C7311yescharacteristic
856#388C22×C7311yescharacteristic
857#388C22×C7311yescharacteristic
858#388C22×C7311yescharacteristic
859#388C22×C7311yescharacteristic
860#388C22×C7311yescharacteristic
861#388C22×C7311yescharacteristic
862#388C22×C7311yescharacteristic
863#388C22×C7311yescharacteristic
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#387C22×C7311yescharacteristic
873#387C22×C7311yescharacteristic
874#387C22×C7311yescharacteristic
875#387C22×C7311yescharacteristic
876#387C22×C7311yescharacteristic
877#387C22×C7311yescharacteristic
878#387C22×C7311yescharacteristic
879#387C22×C7311yescharacteristic
880#387C22×C7311yescharacteristic
881#387C22×C7311yescharacteristic
882#387C22×C7311yescharacteristic
883#387C22×C7311yescharacteristic
884#387C22×C7311yescharacteristic
885#386C22×C7311yescharacteristic
886#386C22×C7311yescharacteristic
887#386C22×C7311yescharacteristic
888#386C22×C7311yescharacteristic
889#386C22×C7311yescharacteristic
890#386C22×C7311yescharacteristic
891#386C22×C7311yescharacteristic
892#386C22×C7311yescharacteristic
893#386C22×C7311yescharacteristic
894#386C22×C7311yescharacteristic
895#386C22×C7311yescharacteristic
896#386C22×C7311yescharacteristic
897#386C22×C7311yescharacteristic
898#386C22×C7311yescharacteristic
899#386C22×C7311yescharacteristic
900#386C22×C7311yescharacteristic
901#386C22×C7311yescharacteristic
902#386C22×C7311yescharacteristic
903#386C22×C7311yescharacteristic
904#385C22×C7311yescharacteristic
905#385C22×C7311yescharacteristic
906#385C22×C7311yescharacteristic
907#385C22×C7311yescharacteristic
908#385C22×C7311yescharacteristic
909#385C22×C7311yescharacteristic
910#385C22×C7311yescharacteristic
911#385C22×C7311yescharacteristic
912#385C22×C7311yescharacteristic
913#385C22×C7311yescharacteristic
914#385C22×C7311yescharacteristic
915#383C22×C7311yescharacteristic
916#383C22×C7311yescharacteristic
917#382C22×C7311yescharacteristic
918#382C22×C7311yescharacteristic
919#381C22×C7311yescharacteristic
920#381C22×C7311yescharacteristic
921#381C22×C7311yescharacteristic
922#381C22×C7311yescharacteristic
923#381C22×C7311yescharacteristic
924#380C22×C7311yescharacteristic
925#380C22×C7311yescharacteristic
926#380C22×C7311yescharacteristic
927#380C22×C7311yescharacteristic
928C4×C4⋊C4C22×C7311yescharacteristic
929C4×C22⋊C4C22×C7311yescharacteristic
930C4×C22⋊C4C22×C7311yescharacteristic
931C4×C22⋊C4C22×C7311yescharacteristic
932C4×C22⋊C4C22×C7311yescharacteristic
933#376C22×C7311yescharacteristic
934C2×#95C22×C7311yescharacteristic
935C22×Q8C23×C7311yescharacteristic
936C22×D4C23×C7311yescharacteristic
937C22×D4C23×C7311yescharacteristic
938C22×D4C23×C7311yescharacteristic
939C22×D4C23×C7311yescharacteristic
940C22×D4C23×C7311yescharacteristic
941C22×D4C23×C7311yescharacteristic
942C22×D4C23×C7311yescharacteristic
943C22×D4C23×C7311yescharacteristic
944C22×D4C23×C7311yescharacteristic
945C22×D4C23×C7311yescharacteristic
946C23×C4C23×C7311yescharacteristic
947C23×C4C23×C7311yescharacteristic
948C23×C4C23×C7311yescharacteristic
949C23×C4C23×C7311yescharacteristic
950C23×C4C23×C7311yescharacteristic
951C23×C4C23×C7311yescharacteristic
952C23×C4C23×C7311yescharacteristic
953C23×C4C23×C7311yescharacteristic
954C23×C4C23×C7311yescharacteristic
955#126—42no—
956#124—42no—
957#123—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960#121—24no—
961#121—42no—
962#121—42no—
963#121—42no—
964#121—42no—
965#121—42no—
966C4×D4—24no—
967C4×D4—24no—
968#117—42no—
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×C4⋊C4C23×C7311yescharacteristic
979C2×C4⋊C4C23×C7311yescharacteristic
980C2×C4⋊C4C23×C7311yescharacteristic
981C2×C4⋊C4C23×C7311yescharacteristic
982C2×C4⋊C4C23×C7311yescharacteristic
983C2×C4⋊C4C23×C7311yescharacteristic
984C2×C4⋊C4C23×C7311yescharacteristic
985C2×C4⋊C4C23×C7311yescharacteristic
986C2×C4⋊C4C23×C7311yescharacteristic
987C2×C4⋊C4C23×C7311yescharacteristic
988C2×C4⋊C4C23×C7311yescharacteristic
989C2×C4⋊C4C23×C7311yescharacteristic
990C2×C4⋊C4C23×C7311yescharacteristic
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×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×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×C42—42no—
1045C2×C42C23×C7311yescharacteristic
1046C2×C42C23×C7311yescharacteristic
1047C2×C42C23×C7311yescharacteristic
1048C2×C42C23×C7311yescharacteristic
1049C2×C42C23×C7311yescharacteristic
1050C2×C42C23×C7311yescharacteristic
1051C2×C42C23×C7311yescharacteristic
1052C2×C42C23×C7311yescharacteristic
1053C2×C42C23×C7311yescharacteristic
1054C2×C42C23×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
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
1105C24C24×C7311yescharacteristic
1106C24C24×C7311yescharacteristic
1107C24C24×C7311yescharacteristic
1108C24C24×C7311yescharacteristic
1109C24C24×C7311yescharacteristic
1110C2×Q8—22no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4#41×C7314yes—
1170C22×C4C24×C7311yescharacteristic
1171C22×C4C24×C7311yescharacteristic
1172C22×C4C24×C7311yescharacteristic
1173C22×C4C24×C7311yescharacteristic
1174C22×C4C24×C7311yescharacteristic
1175C22×C4C24×C7311yescharacteristic
1176C22×C4C24×C7311yescharacteristic
1177C22×C4C24×C7311yescharacteristic
1178C22×C4C24×C7311yescharacteristic
1179C22×C4C24×C7311yescharacteristic
1180C22×C4C24×C7311yescharacteristic
1181C22×C4C24×C7311yescharacteristic
1182C22×C4C24×C7311yescharacteristic
1183C22×C4C24×C7311yescharacteristic
1184C22×C4C24×C7311yescharacteristic
1185C22×C4C24×C7311yescharacteristic
1186C22×C4C24×C7311yescharacteristic
1187C22×C4C24×C7311yescharacteristic
1188C22×C4C24×C7311yescharacteristic
1189C22×C4C24×C7311yescharacteristic
1190C22×C4C24×C7311yescharacteristic
1191C22×C4C24×C7311yescharacteristic
1192C22×C4C24×C7311yescharacteristic
1193C22×C4C24×C7311yescharacteristic
1194C22×C4C24×C7311yescharacteristic
1195C22×C4C24×C7311yescharacteristic
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—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—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C42—22no—
1272C42—22no—
1273C42—22no—
1274C42—22no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23C2×#41×C7312yes—
1315C23H(5,𝔽2)×C7312yes—
1316C23C25×C7311yescharacteristic
1317Q8—82no—
1318D4—44no—
1319D4—44no—
1320D4—82no—
1321D4—82no—
1322D4—82no—
1323D4—82no—
1324D4—82no—
1325D4—82no—
1326D4—82no—
1327D4—82no—
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—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—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—82no—
1408C2×C4—82no—
1409C2×C4—82no—
1410C2×C4—82no—
1411C2×C4—82no—
1412C2×C4C2×#41×C7312yes—
1413C2×C4C2×#41×C7312yes—
1414C2×C4H(5,𝔽2)×C7312yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22C22×#41×C7311yescharacteristic
1451C22C2×H(5,𝔽2)×C7311yescharacteristic
1452C22C2×H(5,𝔽2)×C7311yescharacteristic
1453C22#585×C7311yescharacteristic
1454C22#585×C7311yescharacteristic
1455C22#585×C7311yescharacteristic
1456C22#585×C7311yescharacteristic
1457C4—22no—
1458C4—22no—
1459C4—22no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C2—42no—
1484C2—42no—
1485C2—81no—
1486C2—81no—
1487C2—81no—
1488C2C73×#345511yescharacteristic
1489C2C73×#349411yescharacteristic
1490C2C73×#350511yescharacteristic
1491C2C73×#353411yescharacteristic
1492C2C73×#353911yescharacteristic
1493C2C73×#354511yescharacteristic
1494C2C73×#356611yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2853C2semidirect
2. C73×#2850C2semidirect
3. C73×#2782C2semidirect
4. C73×#2769C2semidirect
5. C73×#2761C2semidirect
6. C73×#2756C2semidirect
7. C73×#2749C2semidirect
8. C73×#2747C2semidirect
9. C73×#2746C2semidirect
10. C73×#2746C2semidirect
11. C73×#2730C2semidirect
12. C73×#2698C2semidirect
13. C73×#2691C2semidirect
14. C73×#2688C2semidirect
15. C73×#2688C2semidirect
16. C73×#2686C2semidirect
17. C73×#2681C2semidirect
18. C73×#2671C2semidirect
19. C73×#2654C2semidirect
20. C73×#2651C2semidirect
21. C73×#2600C2semidirect
22. C73×#2578C2semidirect
23. C73×#2559C2semidirect
24. C73×#2543C2semidirect
25. C73×#2527C2semidirect
26. C73×#2526C2semidirect
27. C73×#2438C2semidirect
28. C73×#2414C2semidirect
29. C73×#2333C2semidirect
30. C73×#2318C2semidirect
31. C73×#2290C2semidirect
735. #36785C73direct (N × H)
748. #2853C2×C73semidirect
749. #2850C2×C73semidirect
750. #2782C2×C73semidirect
751. #2769C2×C73semidirect
752. #2761C2×C73semidirect
753. #2756C2×C73semidirect
754. #2749C2×C73semidirect
755. #2747C2×C73semidirect
756. #2746C2×C73semidirect
757. #2746C2×C73semidirect
758. #2730C2×C73semidirect
759. #2698C2×C73semidirect
760. #2691C2×C73semidirect
761. #2688C2×C73semidirect
762. #2688C2×C73semidirect
763. #2686C2×C73semidirect
764. #2681C2×C73semidirect
765. #2671C2×C73semidirect
766. #2654C2×C73semidirect
767. #2651C2×C73semidirect
768. #2600C2×C73semidirect
769. #2578C2×C73semidirect
770. #2559C2×C73semidirect
771. #2543C2×C73semidirect
772. #2527C2×C73semidirect
773. #2526C2×C73semidirect
774. #2438C2×C73semidirect
775. #2414C2×C73semidirect
776. #2333C2×C73semidirect
777. #2318C2×C73semidirect
778. #2290C2×C73semidirect
779. C73#36785direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#28532
C73×#28502
C73×#27822
C73×#27692
C73×#27612
C73×#27562
C73×#27492
C73×#27472
C73×#27462
C73×#27302
C73×#26982
C73×#26912
C73×#26882
C73×#26862
C73×#26812
C73×#26712
C73×#26542
C73×#26512
C73×#26002
C73×#25782
C73×#25592
C73×#25432
C73×#25272
C73×#25262
C73×#24382
C73×#24142
C73×#23332
C73×#23182
C73×#22902
#3678573