Finite Group Databasebeta

← C73×#36808 #32946212

Subgroups — C73×#36808 #32946212

Order 18688.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2852C211yesmaximal, characteristic, complemented
2C73×#2850C211yesmaximal, characteristic, complemented
3C73×#2797C211yesmaximal, characteristic, complemented
4C73×#2761C211yesmaximal, characteristic, complemented
5C73×#2756C211yesmaximal, characteristic, complemented
6C73×#2753C211yesmaximal, characteristic, complemented
7C73×#2752C211yesmaximal, characteristic, complemented
8C73×#2751C211yesmaximal, characteristic, complemented
9C73×#2749C211yesmaximal, characteristic, complemented
10C73×#2730C211yesmaximal, characteristic, complemented
11C73×#2714C211yesmaximal, characteristic, complemented
12C73×#2714C211yesmaximal, characteristic, complemented
13C73×#2703C211yesmaximal, characteristic, complemented
14C73×#2685C211yesmaximal, characteristic, complemented
15C73×#2685C211yesmaximal, characteristic, complemented
16C73×#2678C211yesmaximal, characteristic, complemented
17C73×#2676C211yesmaximal, characteristic, complemented
18C73×#2670C211yesmaximal, characteristic, complemented
19C73×#2622C211yesmaximal, characteristic, complemented
20C73×#2617C211yesmaximal, characteristic, complemented
21C73×#2481C211yesmaximal, characteristic, complemented
22C73×#2472C211yesmaximal, characteristic, complemented
23C73×#2443C211yesmaximal, characteristic, complemented
24C73×#2437C211yesmaximal, characteristic, complemented
25C73×#2424C211yesmaximal, characteristic, complemented
26C73×#2410C211yesmaximal, characteristic, complemented
27C73×#2410C211yesmaximal, characteristic, complemented
28C73×#2403C211yesmaximal, characteristic, complemented
29C73×#2321C211yesmaximal, characteristic, complemented
30C73×#2308C211yesmaximal, characteristic, complemented
31C2×#390×C73C211yesmaximal, characteristic, complemented
32C23×D4×C73C2211yescharacteristic
33C23×D4×C73C2211yescharacteristic
34C2×#126×C73C2211yescharacteristic, complemented
35C2×#126×C73C2211yescharacteristic, complemented
36C2×#124×C73C2211yescharacteristic, complemented
37C2×#124×C73C2211yescharacteristic, complemented
38C2×#123×C73C2211yescharacteristic, complemented
39C2×C22⋊Q8×C73C2211yescharacteristic, complemented
40C2×C22⋊Q8×C73C2211yescharacteristic, complemented
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×#121×C73C2211yescharacteristic, complemented
44C2×#121×C73C2211yescharacteristic, complemented
45C2×#121×C73C2211yescharacteristic, complemented
46C2×#120×C73C2211yescharacteristic
47C2×#120×C73C2211yescharacteristic
48C2×#120×C73C2211yescharacteristic
49C2×#120×C73C2211yescharacteristic
50C2×#120×C73C2211yescharacteristic
51C2×#120×C73C2211yescharacteristic, complemented
52C2×#120×C73C2211yescharacteristic, complemented
53C2×C4×D4×C73C2211yescharacteristic, complemented
54C22×C4⋊C4×C73C2211yescharacteristic, complemented
55C22×C22⋊C4×C73C2211yescharacteristic
56C22×C22⋊C4×C73C2211yescharacteristic
57C22×C22⋊C4×C73C2211yescharacteristic
58C22×C22⋊C4×C73C2211yescharacteristic, complemented
59C22×C22⋊C4×C73C2211yescharacteristic, complemented
60C22×C42×C73C2211yescharacteristic, complemented
61#400×C73C2211yescharacteristic, complemented
62#400×C73C2211yescharacteristic, complemented
63#399×C73C2211yescharacteristic, complemented
64#399×C73C2211yescharacteristic, complemented
65#398×C73C2211yescharacteristic, complemented
66#397×C73C2211yescharacteristic, complemented
67#397×C73C2211yescharacteristic, complemented
68#397×C73C2211yescharacteristic, complemented
69#397×C73C2211yescharacteristic, complemented
70#397×C73C2211yescharacteristic, complemented
71#397×C73C2211yescharacteristic, complemented
72#397×C73C2211yescharacteristic, complemented
73#397×C73C2211yescharacteristic, complemented
74#397×C73C2211yescharacteristic, complemented
75#396×C73C2211yescharacteristic, complemented
76#396×C73C2211yescharacteristic, complemented
77#396×C73C2211yescharacteristic, complemented
78#396×C73C2211yescharacteristic, complemented
79#394×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#394×C73C2211yescharacteristic, complemented
82#394×C73C2211yescharacteristic, complemented
83#394×C73C2211yescharacteristic, complemented
84#394×C73C2211yescharacteristic, complemented
85#394×C73C2211yescharacteristic, complemented
86#394×C73C2211yescharacteristic, complemented
87#394×C73C2211yescharacteristic, complemented
88#394×C73C2211yescharacteristic, complemented
89#394×C73C2211yescharacteristic, complemented
90#394×C73C2211yescharacteristic, complemented
91#394×C73C2211yescharacteristic, complemented
92#394×C73C2211yescharacteristic, complemented
93#394×C73C2211yescharacteristic, complemented
94#394×C73C2211yescharacteristic, complemented
95#394×C73C2211yescharacteristic, complemented
96#393×C73C2211yescharacteristic, complemented
97#393×C73C2211yescharacteristic, complemented
98#392×C73C2211yescharacteristic
99#392×C73C2211yescharacteristic
100#392×C73C2211yescharacteristic
101#392×C73C2211yescharacteristic
102#392×C73C2211yescharacteristic
103#392×C73C2211yescharacteristic
104#392×C73C2211yescharacteristic, complemented
105#392×C73C2211yescharacteristic, complemented
106#392×C73C2211yescharacteristic, complemented
107#392×C73C2211yescharacteristic, complemented
108#392×C73C2211yescharacteristic, complemented
109#391×C73C2211yescharacteristic, complemented
110#390×C73C2211yescharacteristic
111#390×C73C2211yescharacteristic
112#390×C73C2211yescharacteristic
113#390×C73C2211yescharacteristic
114#390×C73C2211yescharacteristic, complemented
115#390×C73C2211yescharacteristic, complemented
116#390×C73C2211yescharacteristic, complemented
117#390×C73C2211yescharacteristic, complemented
118#390×C73C2211yescharacteristic, complemented
119#390×C73C2211yescharacteristic, complemented
120#390×C73C2211yescharacteristic, complemented
121#390×C73C2211yescharacteristic, complemented
122#390×C73C2211yescharacteristic, complemented
123#388×C73C2211yescharacteristic, complemented
124#388×C73C2211yescharacteristic, complemented
125#388×C73C2211yescharacteristic, complemented
126#388×C73C2211yescharacteristic, complemented
127#388×C73C2211yescharacteristic, complemented
128#388×C73C2211yescharacteristic, complemented
129#388×C73C2211yescharacteristic, complemented
130#388×C73C2211yescharacteristic, complemented
131#388×C73C2211yescharacteristic, complemented
132#388×C73C2211yescharacteristic, complemented
133#388×C73C2211yescharacteristic, complemented
134#388×C73C2211yescharacteristic, complemented
135#388×C73C2211yescharacteristic, complemented
136#388×C73C2211yescharacteristic, complemented
137#388×C73C2211yescharacteristic, complemented
138#388×C73C2211yescharacteristic, complemented
139#387×C73C2211yescharacteristic, complemented
140#387×C73C2211yescharacteristic, complemented
141#387×C73C2211yescharacteristic, complemented
142#387×C73C2211yescharacteristic, complemented
143#387×C73C2211yescharacteristic, complemented
144#387×C73C2211yescharacteristic, complemented
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, complemented
156#386×C73C2211yescharacteristic, complemented
157#386×C73C2211yescharacteristic, complemented
158#386×C73C2211yescharacteristic, complemented
159#386×C73C2211yescharacteristic, complemented
160#386×C73C2211yescharacteristic, complemented
161#386×C73C2211yescharacteristic, complemented
162#386×C73C2211yescharacteristic, complemented
163#386×C73C2211yescharacteristic, complemented
164#386×C73C2211yescharacteristic, complemented
165#386×C73C2211yescharacteristic, complemented
166#386×C73C2211yescharacteristic, complemented
167#385×C73C2211yescharacteristic, complemented
168#385×C73C2211yescharacteristic, complemented
169#385×C73C2211yescharacteristic, complemented
170#385×C73C2211yescharacteristic, complemented
171#385×C73C2211yescharacteristic, complemented
172#385×C73C2211yescharacteristic, complemented
173#385×C73C2211yescharacteristic, complemented
174#385×C73C2211yescharacteristic, complemented
175#383×C73C2211yescharacteristic, complemented
176#382×C73C2211yescharacteristic, complemented
177#381×C73C2211yescharacteristic, complemented
178#381×C73C2211yescharacteristic, complemented
179#380×C73C2211yescharacteristic, complemented
180#380×C73C2211yescharacteristic, complemented
181#379×C73C2211yescharacteristic
182#379×C73C2211yescharacteristic, complemented
183#379×C73C2211yescharacteristic, complemented
184#379×C73C2211yescharacteristic, complemented
185#379×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C25×C73C2311yescharacteristic
189C25×C73C2311yescharacteristic
190C22×Q8×C73C2311yescharacteristic
191C22×D4×C73—24no—
192C22×D4×C73—24no—
193C22×D4×C73—42no—
194C22×D4×C73—42no—
195C22×D4×C73—42no—
196C22×D4×C73—42no—
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C22×D4×C73C2311yescharacteristic
205C22×D4×C73C2311yescharacteristic
206C22×D4×C73C2311yescharacteristic
207C22×D4×C73C2311yescharacteristic
208C22×D4×C73C2311yescharacteristic
209C22×D4×C73C2311yescharacteristic
210C22×D4×C73C2311yescharacteristic
211C22×D4×C73C2311yescharacteristic
212C22×D4×C73C2311yescharacteristic
213C22×D4×C73C2311yescharacteristic
214C22×D4×C73C2311yescharacteristic
215C22×D4×C73C2311yescharacteristic
216C23×C4×C73C2311yescharacteristic
217C23×C4×C73C2311yescharacteristic
218C23×C4×C73C2311yescharacteristic
219C23×C4×C73C2311yescharacteristic
220C23×C4×C73C2311yescharacteristic
221C23×C4×C73C2311yescharacteristic
222C23×C4×C73C2311yescharacteristic
223C23×C4×C73C2311yescharacteristic
224C23×C4×C73C2311yescharacteristic
225#126×C73—42no—
226#126×C73—42no—
227#124×C73—42no—
228#124×C73—42no—
229#123×C73—42no—
230C22⋊Q8×C73—42no—
231C22⋊Q8×C73—42no—
232#121×C73—42no—
233#121×C73—42no—
234#121×C73—42no—
235#121×C73—42no—
236#121×C73—42no—
237#120×C73—24no—
238#120×C73—42no—
239#120×C73—42no—
240#120×C73—42no—
241#120×C73—42no—
242#120×C73—42no—
243#120×C73—42no—
244C4×D4×C73—42no—
245C2×C4⋊C4×C73—42no—
246C2×C4⋊C4×C73C2311yescharacteristic
247C2×C4⋊C4×C73C2311yescharacteristic
248C2×C4⋊C4×C73C2311yescharacteristic
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C4⋊C4×C73C2311yescharacteristic
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C4⋊C4×C73C2311yescharacteristic
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C4⋊C4×C73C2311yescharacteristic
261C2×C4⋊C4×C73C2311yescharacteristic
262C2×C4⋊C4×C73C2311yescharacteristic
263C2×C4⋊C4×C73C2311yescharacteristic
264C2×C4⋊C4×C73C2311yescharacteristic
265C2×C4⋊C4×C73C2311yescharacteristic
266C2×C22⋊C4×C73—42no—
267C2×C22⋊C4×C73—42no—
268C2×C22⋊C4×C73—42no—
269C2×C22⋊C4×C73—42no—
270C2×C22⋊C4×C73—42no—
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×C22⋊C4×C73C2311yescharacteristic
324C2×C22⋊C4×C73C2311yescharacteristic
325C2×C22⋊C4×C73C2311yescharacteristic
326C2×C22⋊C4×C73C2311yescharacteristic
327C2×C22⋊C4×C73C2311yescharacteristic
328C2×C22⋊C4×C73C2311yescharacteristic
329C2×C22⋊C4×C73C2311yescharacteristic
330C2×C22⋊C4×C73C2311yescharacteristic
331C2×C22⋊C4×C73C2311yescharacteristic
332C2×C22⋊C4×C73C2311yescharacteristic
333C2×C22⋊C4×C73C2311yescharacteristic
334C2×C22⋊C4×C73C2311yescharacteristic
335C2×C42×C73—42no—
336C2×C42×C73C2311yescharacteristic
337C2×C42×C73C2311yescharacteristic
338C2×C42×C73C2311yescharacteristic
339C2×C42×C73C2311yescharacteristic
340C2×C42×C73C2311yescharacteristic
341C2×C42×C73C2311yescharacteristic
342C2×C42×C73C2311yescharacteristic
343#95×C73C2311yescharacteristic
344#95×C73C2311yescharacteristic
345#95×C73C2311yescharacteristic
346#95×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375C24×C73—22no—
376C24×C73—22no—
377C24×C73—22no—
378C24×C73—22no—
379C24×C73—22no—
380C24×C73—22no—
381C24×C73—41no—
382C24×C73—41no—
383C24×C73—41no—
384C24×C73—41no—
385C24×C73—41no—
386C24×C73—41no—
387C24×C73—41no—
388C24×C73—41no—
389C24×C73—41no—
390C24×C73—41no—
391C24×C73—41no—
392C24×C73—41no—
393C24×C73—41no—
394C24×C73—41no—
395C24×C73#4114yes—
396C24×C73C2411yescharacteristic
397C24×C73C2411yescharacteristic
398C24×C73C2411yescharacteristic
399C24×C73C2411yescharacteristic
400C24×C73C2411yescharacteristic
401C24×C73C2411yescharacteristic
402C24×C73C2411yescharacteristic
403C24×C73C2411yescharacteristic
404C2×Q8×C73—22no—
405C2×Q8×C73—41no—
406C2×Q8×C73—41no—
407C2×D4×C73—22no—
408C2×D4×C73—22no—
409C2×D4×C73—22no—
410C2×D4×C73—22no—
411C2×D4×C73—22no—
412C2×D4×C73—22no—
413C2×D4×C73—22no—
414C2×D4×C73—22no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—22no—
420C2×D4×C73—22no—
421C2×D4×C73—22no—
422C2×D4×C73—22no—
423C2×D4×C73—22no—
424C2×D4×C73—22no—
425C2×D4×C73—22no—
426C2×D4×C73—22no—
427C2×D4×C73—22no—
428C2×D4×C73—22no—
429C2×D4×C73—41no—
430C2×D4×C73—41no—
431C2×D4×C73—41no—
432C2×D4×C73—41no—
433C2×D4×C73—41no—
434C2×D4×C73—41no—
435C2×D4×C73—41no—
436C2×D4×C73—41no—
437C2×D4×C73—416no—
438C2×D4×C73—41no—
439C2×D4×C73—41no—
440C2×D4×C73—41no—
441C2×D4×C73—41no—
442C2×D4×C73—41no—
443C2×D4×C73—41no—
444C2×D4×C73—41no—
445C2×D4×C73—41no—
446C2×D4×C73—41no—
447C2×D4×C73—41no—
448C2×D4×C73—41no—
449C2×D4×C73—41no—
450C2×D4×C73—41no—
451C2×D4×C73—41no—
452C2×D4×C73—41no—
453C2×D4×C73—41no—
454C2×D4×C73—41no—
455C2×D4×C73—41no—
456C2×D4×C73—41no—
457C2×D4×C73—41no—
458C2×D4×C73—41no—
459C2×D4×C73—41no—
460C2×D4×C73—41no—
461C2×D4×C73—41no—
462C2×D4×C73—41no—
463C2×D4×C73—41no—
464C2×D4×C73—41no—
465C2×D4×C73—416no—
466C22×C4×C73—22no—
467C22×C4×C73—22no—
468C22×C4×C73—22no—
469C22×C4×C73—22no—
470C22×C4×C73—22no—
471C22×C4×C73—22no—
472C22×C4×C73—22no—
473C22×C4×C73—22no—
474C22×C4×C73—22no—
475C22×C4×C73—41no—
476C22×C4×C73—41no—
477C22×C4×C73—41no—
478C22×C4×C73—41no—
479C22×C4×C73—41no—
480C22×C4×C73—41no—
481C22×C4×C73—41no—
482C22×C4×C73—41no—
483C22×C4×C73—41no—
484C22×C4×C73—41no—
485C22×C4×C73—41no—
486C22×C4×C73—41no—
487C22×C4×C73—41no—
488C22×C4×C73—41no—
489C22×C4×C73—41no—
490C22×C4×C73—41no—
491C22×C4×C73—41no—
492C22×C4×C73—41no—
493C22×C4×C73C2411yescharacteristic
494C22×C4×C73C2411yescharacteristic
495C22×C4×C73C2411yescharacteristic
496C22×C4×C73C2411yescharacteristic
497C22×C4×C73C2411yescharacteristic
498C22×C4×C73C2411yescharacteristic
499C22×C4×C73C2411yescharacteristic
500C22×C4×C73C2411yescharacteristic
501C22×C4×C73C2411yescharacteristic
502C22×C4×C73C2411yescharacteristic
503C22×C4×C73C2411yescharacteristic
504C22×C4×C73C2411yescharacteristic
505C22×C4×C73C2411yescharacteristic
506C22×C4×C73C2411yescharacteristic
507C22×C4×C73C2411yescharacteristic
508C22×C4×C73C2411yescharacteristic
509C22×C4×C73C2411yescharacteristic
510C22×C4×C73C2411yescharacteristic
511C22×C4×C73C2411yescharacteristic
512C22×C4×C73C2411yescharacteristic
513C22×C4×C73C2411yescharacteristic
514C22×C4×C73C2411yescharacteristic
515C22×C4×C73C2411yescharacteristic
516C4⋊C4×C73—22no—
517C4⋊C4×C73—22no—
518C4⋊C4×C73—22no—
519C4⋊C4×C73—22no—
520C4⋊C4×C73—22no—
521C4⋊C4×C73—41no—
522C4⋊C4×C73—41no—
523C4⋊C4×C73—41no—
524C4⋊C4×C73—41no—
525C4⋊C4×C73—41no—
526C4⋊C4×C73—41no—
527C4⋊C4×C73—41no—
528C4⋊C4×C73—41no—
529C4⋊C4×C73—41no—
530C4⋊C4×C73—41no—
531C4⋊C4×C73—41no—
532C4⋊C4×C73—41no—
533C4⋊C4×C73—41no—
534C4⋊C4×C73—41no—
535C4⋊C4×C73—41no—
536C22⋊C4×C73—22no—
537C22⋊C4×C73—22no—
538C22⋊C4×C73—22no—
539C22⋊C4×C73—22no—
540C22⋊C4×C73—22no—
541C22⋊C4×C73—22no—
542C22⋊C4×C73—22no—
543C22⋊C4×C73—22no—
544C22⋊C4×C73—22no—
545C22⋊C4×C73—22no—
546C22⋊C4×C73—22no—
547C22⋊C4×C73—22no—
548C22⋊C4×C73—22no—
549C22⋊C4×C73—22no—
550C22⋊C4×C73—22no—
551C22⋊C4×C73—22no—
552C22⋊C4×C73—22no—
553C22⋊C4×C73—22no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73—41no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C22⋊C4×C73—41no—
562C22⋊C4×C73—41no—
563C22⋊C4×C73—41no—
564C22⋊C4×C73—41no—
565C22⋊C4×C73—41no—
566C22⋊C4×C73—41no—
567C22⋊C4×C73—41no—
568C22⋊C4×C73—41no—
569C22⋊C4×C73—41no—
570C22⋊C4×C73—41no—
571C22⋊C4×C73—41no—
572C22⋊C4×C73—41no—
573C22⋊C4×C73—41no—
574C22⋊C4×C73—41no—
575C22⋊C4×C73—41no—
576C22⋊C4×C73—41no—
577C22⋊C4×C73—41no—
578C22⋊C4×C73—41no—
579C22⋊C4×C73—41no—
580C22⋊C4×C73—41no—
581C22⋊C4×C73—41no—
582C22⋊C4×C73—41no—
583C22⋊C4×C73—41no—
584C22⋊C4×C73—41no—
585C22⋊C4×C73—41no—
586C22⋊C4×C73—41no—
587C22⋊C4×C73—41no—
588C22⋊C4×C73—41no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C22⋊C4×C73—41no—
593C22⋊C4×C73—41no—
594C22⋊C4×C73—41no—
595C22⋊C4×C73—41no—
596C22⋊C4×C73—41no—
597C22⋊C4×C73—41no—
598C22⋊C4×C73—41no—
599C22⋊C4×C73—41no—
600C42×C73—22no—
601C42×C73—22no—
602C42×C73—41no—
603C42×C73—41no—
604C42×C73—41no—
605C42×C73—41no—
606C42×C73—41no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—28no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73—21no—
636C23×C73—21no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73—21no—
642C23×C73—21no—
643C23×C73—21no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73—21no—
657C23×C73—21no—
658C23×C73—21no—
659C23×C73—44no—
660C23×C73—44no—
661C23×C73—44no—
662C23×C73—44no—
663C23×C73—44no—
664C23×C73—44no—
665C23×C73—82no—
666C23×C73—82no—
667C23×C73—82no—
668C23×C73—82no—
669C23×C73—82no—
670C23×C73—82no—
671C23×C73—82no—
672C23×C73—82no—
673C23×C73—82no—
674C23×C73—82no—
675C23×C73—82no—
676C23×C73—82no—
677C23×C73—82no—
678C23×C73—82no—
679C23×C73C2×#4112yes—
680C23×C73C2×#4112yes—
681C23×C73C2×#4112yes—
682C23×C73H(5,𝔽2)12yes—
683C23×C73H(5,𝔽2)12yes—
684C23×C73C2511yescharacteristic
685Q8×C73—82no—
686D4×C73—44no—
687D4×C73—44no—
688D4×C73—44no—
689D4×C73—44no—
690D4×C73—44no—
691D4×C73—44no—
692D4×C73—44no—
693D4×C73—44no—
694D4×C73—44no—
695D4×C73—82no—
696D4×C73—82no—
697D4×C73—82no—
698D4×C73—82no—
699D4×C73—82no—
700D4×C73—82no—
701D4×C73—82no—
702D4×C73—82no—
703D4×C73—82no—
704D4×C73—82no—
705C2×C4×C73—28no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—44no—
773C2×C4×C73—44no—
774C2×C4×C73—44no—
775C2×C4×C73—82no—
776C2×C4×C73—82no—
777C2×C4×C73—82no—
778C2×C4×C73—82no—
779C2×C4×C73—82no—
780C2×C4×C73H(5,𝔽2)12yes—
781C2×C4×C73H(5,𝔽2)12yes—
782C2×C4×C73H(5,𝔽2)12yes—
783C22×C73—22no—
784C22×C73—22no—
785C22×C73—22no—
786C22×C73—22no—
787C22×C73—22no—
788C22×C73—22no—
789C22×C73—22no—
790C22×C73—22no—
791C22×C73—22no—
792C22×C73—22no—
793C22×C73—22no—
794C22×C73—22no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—88no—
839C22×C73—88no—
840C22×C73—88no—
841C22×C73#53814yes—
842C22×C73C22×#4111yescharacteristic
843C22×C73C2×H(5,𝔽2)11yescharacteristic
844C22×C73C2×H(5,𝔽2)11yescharacteristic
845C22×C73C2×H(5,𝔽2)11yescharacteristic
846C22×C73C2×H(5,𝔽2)11yescharacteristic
847C22×C73C2×H(5,𝔽2)11yescharacteristic
848C22×C73#58511yescharacteristic
849C4×C73—22no—
850C4×C73—22no—
851C4×C73—22no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73—41no—
870C4×C73—41no—
871C4×C73—41no—
872#36808C7311yesmaximal, characteristic, direct product factor, Sylow
873C2×C73—24no—
874C2×C73—42no—
875C2×C73—42no—
876C2×C73—81no—
877C2×C73—81no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73C2×#53811yescharacteristic
882C2×C73#349011yescharacteristic
883C2×C73#350511yescharacteristic
884C2×C73#353711yescharacteristic
885C2×C73#354211yescharacteristic
886C2×C73#354311yescharacteristic
887C2×C73#355811yescharacteristic
888#2852C2×C7311yescharacteristic, complemented
889#2850C2×C7311yescharacteristic, complemented
890#2797C2×C7311yescharacteristic, complemented
891#2761C2×C7311yescharacteristic, complemented
892#2756C2×C7311yescharacteristic, complemented
893#2753C2×C7311yescharacteristic, complemented
894#2752C2×C7311yescharacteristic, complemented
895#2751C2×C7311yescharacteristic, complemented
896#2749C2×C7311yescharacteristic, complemented
897#2730C2×C7311yescharacteristic, complemented
898#2714C2×C7311yescharacteristic, complemented
899#2714C2×C7311yescharacteristic, complemented
900#2703C2×C7311yescharacteristic, complemented
901#2685C2×C7311yescharacteristic, complemented
902#2685C2×C7311yescharacteristic, complemented
903#2678C2×C7311yescharacteristic, complemented
904#2676C2×C7311yescharacteristic, complemented
905#2670C2×C7311yescharacteristic, complemented
906#2622C2×C7311yescharacteristic, complemented
907#2617C2×C7311yescharacteristic, complemented
908#2481C2×C7311yescharacteristic, complemented
909#2472C2×C7311yescharacteristic, complemented
910#2443C2×C7311yescharacteristic, complemented
911#2437C2×C7311yescharacteristic, complemented
912#2424C2×C7311yescharacteristic, complemented
913#2410C2×C7311yescharacteristic, complemented
914#2410C2×C7311yescharacteristic, complemented
915#2403C2×C7311yescharacteristic, complemented
916#2321C2×C7311yescharacteristic, complemented
917#2308C2×C7311yescharacteristic, complemented
918C2×#390C2×C7311yescharacteristic, complemented
919C73#3680811yescharacteristic, direct product factor, Sylow
920C23×D4C22×C7311yescharacteristic
921C23×D4C22×C7311yescharacteristic
922C2×#126C22×C7311yescharacteristic, complemented
923C2×#126C22×C7311yescharacteristic, complemented
924C2×#124C22×C7311yescharacteristic, complemented
925C2×#124C22×C7311yescharacteristic, complemented
926C2×#123C22×C7311yescharacteristic, complemented
927C2×C22⋊Q8C22×C7311yescharacteristic, complemented
928C2×C22⋊Q8C22×C7311yescharacteristic, complemented
929C2×#121C22×C7311yescharacteristic
930C2×#121C22×C7311yescharacteristic
931C2×#121C22×C7311yescharacteristic, complemented
932C2×#121C22×C7311yescharacteristic, complemented
933C2×#121C22×C7311yescharacteristic, complemented
934C2×#120C22×C7311yescharacteristic
935C2×#120C22×C7311yescharacteristic
936C2×#120C22×C7311yescharacteristic
937C2×#120C22×C7311yescharacteristic
938C2×#120C22×C7311yescharacteristic
939C2×#120C22×C7311yescharacteristic, complemented
940C2×#120C22×C7311yescharacteristic, complemented
941C2×C4×D4C22×C7311yescharacteristic, complemented
942C22×C4⋊C4C22×C7311yescharacteristic, complemented
943C22×C22⋊C4C22×C7311yescharacteristic
944C22×C22⋊C4C22×C7311yescharacteristic
945C22×C22⋊C4C22×C7311yescharacteristic
946C22×C22⋊C4C22×C7311yescharacteristic, complemented
947C22×C22⋊C4C22×C7311yescharacteristic, complemented
948C22×C42C22×C7311yescharacteristic, complemented
949#400C22×C7311yescharacteristic, complemented
950#400C22×C7311yescharacteristic, complemented
951#399C22×C7311yescharacteristic, complemented
952#399C22×C7311yescharacteristic, complemented
953#398C22×C7311yescharacteristic, complemented
954#397C22×C7311yescharacteristic, complemented
955#397C22×C7311yescharacteristic, complemented
956#397C22×C7311yescharacteristic, complemented
957#397C22×C7311yescharacteristic, complemented
958#397C22×C7311yescharacteristic, complemented
959#397C22×C7311yescharacteristic, complemented
960#397C22×C7311yescharacteristic, complemented
961#397C22×C7311yescharacteristic, complemented
962#397C22×C7311yescharacteristic, complemented
963#396C22×C7311yescharacteristic, complemented
964#396C22×C7311yescharacteristic, complemented
965#396C22×C7311yescharacteristic, complemented
966#396C22×C7311yescharacteristic, complemented
967#394C22×C7311yescharacteristic
968#394C22×C7311yescharacteristic
969#394C22×C7311yescharacteristic, complemented
970#394C22×C7311yescharacteristic, complemented
971#394C22×C7311yescharacteristic, complemented
972#394C22×C7311yescharacteristic, complemented
973#394C22×C7311yescharacteristic, complemented
974#394C22×C7311yescharacteristic, complemented
975#394C22×C7311yescharacteristic, complemented
976#394C22×C7311yescharacteristic, complemented
977#394C22×C7311yescharacteristic, complemented
978#394C22×C7311yescharacteristic, complemented
979#394C22×C7311yescharacteristic, complemented
980#394C22×C7311yescharacteristic, complemented
981#394C22×C7311yescharacteristic, complemented
982#394C22×C7311yescharacteristic, complemented
983#394C22×C7311yescharacteristic, complemented
984#393C22×C7311yescharacteristic, complemented
985#393C22×C7311yescharacteristic, complemented
986#392C22×C7311yescharacteristic
987#392C22×C7311yescharacteristic
988#392C22×C7311yescharacteristic
989#392C22×C7311yescharacteristic
990#392C22×C7311yescharacteristic
991#392C22×C7311yescharacteristic
992#392C22×C7311yescharacteristic, complemented
993#392C22×C7311yescharacteristic, complemented
994#392C22×C7311yescharacteristic, complemented
995#392C22×C7311yescharacteristic, complemented
996#392C22×C7311yescharacteristic, complemented
997#391C22×C7311yescharacteristic, complemented
998#390C22×C7311yescharacteristic
999#390C22×C7311yescharacteristic
1000#390C22×C7311yescharacteristic
1001#390C22×C7311yescharacteristic
1002#390C22×C7311yescharacteristic, complemented
1003#390C22×C7311yescharacteristic, complemented
1004#390C22×C7311yescharacteristic, complemented
1005#390C22×C7311yescharacteristic, complemented
1006#390C22×C7311yescharacteristic, complemented
1007#390C22×C7311yescharacteristic, complemented
1008#390C22×C7311yescharacteristic, complemented
1009#390C22×C7311yescharacteristic, complemented
1010#390C22×C7311yescharacteristic, complemented
1011#388C22×C7311yescharacteristic, complemented
1012#388C22×C7311yescharacteristic, complemented
1013#388C22×C7311yescharacteristic, complemented
1014#388C22×C7311yescharacteristic, complemented
1015#388C22×C7311yescharacteristic, complemented
1016#388C22×C7311yescharacteristic, complemented
1017#388C22×C7311yescharacteristic, complemented
1018#388C22×C7311yescharacteristic, complemented
1019#388C22×C7311yescharacteristic, complemented
1020#388C22×C7311yescharacteristic, complemented
1021#388C22×C7311yescharacteristic, complemented
1022#388C22×C7311yescharacteristic, complemented
1023#388C22×C7311yescharacteristic, complemented
1024#388C22×C7311yescharacteristic, complemented
1025#388C22×C7311yescharacteristic, complemented
1026#388C22×C7311yescharacteristic, complemented
1027#387C22×C7311yescharacteristic, complemented
1028#387C22×C7311yescharacteristic, complemented
1029#387C22×C7311yescharacteristic, complemented
1030#387C22×C7311yescharacteristic, complemented
1031#387C22×C7311yescharacteristic, complemented
1032#387C22×C7311yescharacteristic, complemented
1033#386C22×C7311yescharacteristic
1034#386C22×C7311yescharacteristic
1035#386C22×C7311yescharacteristic
1036#386C22×C7311yescharacteristic
1037#386C22×C7311yescharacteristic
1038#386C22×C7311yescharacteristic
1039#386C22×C7311yescharacteristic
1040#386C22×C7311yescharacteristic
1041#386C22×C7311yescharacteristic
1042#386C22×C7311yescharacteristic
1043#386C22×C7311yescharacteristic, complemented
1044#386C22×C7311yescharacteristic, complemented
1045#386C22×C7311yescharacteristic, complemented
1046#386C22×C7311yescharacteristic, complemented
1047#386C22×C7311yescharacteristic, complemented
1048#386C22×C7311yescharacteristic, complemented
1049#386C22×C7311yescharacteristic, complemented
1050#386C22×C7311yescharacteristic, complemented
1051#386C22×C7311yescharacteristic, complemented
1052#386C22×C7311yescharacteristic, complemented
1053#386C22×C7311yescharacteristic, complemented
1054#386C22×C7311yescharacteristic, complemented
1055#385C22×C7311yescharacteristic, complemented
1056#385C22×C7311yescharacteristic, complemented
1057#385C22×C7311yescharacteristic, complemented
1058#385C22×C7311yescharacteristic, complemented
1059#385C22×C7311yescharacteristic, complemented
1060#385C22×C7311yescharacteristic, complemented
1061#385C22×C7311yescharacteristic, complemented
1062#385C22×C7311yescharacteristic, complemented
1063#383C22×C7311yescharacteristic, complemented
1064#382C22×C7311yescharacteristic, complemented
1065#381C22×C7311yescharacteristic, complemented
1066#381C22×C7311yescharacteristic, complemented
1067#380C22×C7311yescharacteristic, complemented
1068#380C22×C7311yescharacteristic, complemented
1069#379C22×C7311yescharacteristic
1070#379C22×C7311yescharacteristic, complemented
1071#379C22×C7311yescharacteristic, complemented
1072#379C22×C7311yescharacteristic, complemented
1073#379C22×C7311yescharacteristic, complemented
1074C4×C22⋊C4C22×C7311yescharacteristic, complemented
1075C25C23×C7311yescharacteristic
1076C25C23×C7311yescharacteristic
1077C25C23×C7311yescharacteristic
1078C22×Q8C23×C7311yescharacteristic
1079C22×D4—24no—
1080C22×D4—24no—
1081C22×D4—42no—
1082C22×D4—42no—
1083C22×D4—42no—
1084C22×D4—42no—
1085C22×D4C23×C7311yescharacteristic
1086C22×D4C23×C7311yescharacteristic
1087C22×D4C23×C7311yescharacteristic
1088C22×D4C23×C7311yescharacteristic
1089C22×D4C23×C7311yescharacteristic
1090C22×D4C23×C7311yescharacteristic
1091C22×D4C23×C7311yescharacteristic
1092C22×D4C23×C7311yescharacteristic
1093C22×D4C23×C7311yescharacteristic
1094C22×D4C23×C7311yescharacteristic
1095C22×D4C23×C7311yescharacteristic
1096C22×D4C23×C7311yescharacteristic
1097C22×D4C23×C7311yescharacteristic
1098C22×D4C23×C7311yescharacteristic
1099C22×D4C23×C7311yescharacteristic
1100C22×D4C23×C7311yescharacteristic
1101C22×D4C23×C7311yescharacteristic
1102C22×D4C23×C7311yescharacteristic
1103C22×D4C23×C7311yescharacteristic
1104C23×C4C23×C7311yescharacteristic
1105C23×C4C23×C7311yescharacteristic
1106C23×C4C23×C7311yescharacteristic
1107C23×C4C23×C7311yescharacteristic
1108C23×C4C23×C7311yescharacteristic
1109C23×C4C23×C7311yescharacteristic
1110C23×C4C23×C7311yescharacteristic
1111C23×C4C23×C7311yescharacteristic
1112C23×C4C23×C7311yescharacteristic
1113#126—42no—
1114#126—42no—
1115#124—42no—
1116#124—42no—
1117#123—42no—
1118C22⋊Q8—42no—
1119C22⋊Q8—42no—
1120#121—42no—
1121#121—42no—
1122#121—42no—
1123#121—42no—
1124#121—42no—
1125#120—24no—
1126#120—42no—
1127#120—42no—
1128#120—42no—
1129#120—42no—
1130#120—42no—
1131#120—42no—
1132C4×D4—42no—
1133C2×C4⋊C4—42no—
1134C2×C4⋊C4C23×C7311yescharacteristic
1135C2×C4⋊C4C23×C7311yescharacteristic
1136C2×C4⋊C4C23×C7311yescharacteristic
1137C2×C4⋊C4C23×C7311yescharacteristic
1138C2×C4⋊C4C23×C7311yescharacteristic
1139C2×C4⋊C4C23×C7311yescharacteristic
1140C2×C4⋊C4C23×C7311yescharacteristic
1141C2×C4⋊C4C23×C7311yescharacteristic
1142C2×C4⋊C4C23×C7311yescharacteristic
1143C2×C4⋊C4C23×C7311yescharacteristic
1144C2×C4⋊C4C23×C7311yescharacteristic
1145C2×C4⋊C4C23×C7311yescharacteristic
1146C2×C4⋊C4C23×C7311yescharacteristic
1147C2×C4⋊C4C23×C7311yescharacteristic
1148C2×C4⋊C4C23×C7311yescharacteristic
1149C2×C4⋊C4C23×C7311yescharacteristic
1150C2×C4⋊C4C23×C7311yescharacteristic
1151C2×C4⋊C4C23×C7311yescharacteristic
1152C2×C4⋊C4C23×C7311yescharacteristic
1153C2×C4⋊C4C23×C7311yescharacteristic
1154C2×C22⋊C4—42no—
1155C2×C22⋊C4—42no—
1156C2×C22⋊C4—42no—
1157C2×C22⋊C4—42no—
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4C23×C7311yescharacteristic
1160C2×C22⋊C4C23×C7311yescharacteristic
1161C2×C22⋊C4C23×C7311yescharacteristic
1162C2×C22⋊C4C23×C7311yescharacteristic
1163C2×C22⋊C4C23×C7311yescharacteristic
1164C2×C22⋊C4C23×C7311yescharacteristic
1165C2×C22⋊C4C23×C7311yescharacteristic
1166C2×C22⋊C4C23×C7311yescharacteristic
1167C2×C22⋊C4C23×C7311yescharacteristic
1168C2×C22⋊C4C23×C7311yescharacteristic
1169C2×C22⋊C4C23×C7311yescharacteristic
1170C2×C22⋊C4C23×C7311yescharacteristic
1171C2×C22⋊C4C23×C7311yescharacteristic
1172C2×C22⋊C4C23×C7311yescharacteristic
1173C2×C22⋊C4C23×C7311yescharacteristic
1174C2×C22⋊C4C23×C7311yescharacteristic
1175C2×C22⋊C4C23×C7311yescharacteristic
1176C2×C22⋊C4C23×C7311yescharacteristic
1177C2×C22⋊C4C23×C7311yescharacteristic
1178C2×C22⋊C4C23×C7311yescharacteristic
1179C2×C22⋊C4C23×C7311yescharacteristic
1180C2×C22⋊C4C23×C7311yescharacteristic
1181C2×C22⋊C4C23×C7311yescharacteristic
1182C2×C22⋊C4C23×C7311yescharacteristic
1183C2×C22⋊C4C23×C7311yescharacteristic
1184C2×C22⋊C4C23×C7311yescharacteristic
1185C2×C22⋊C4C23×C7311yescharacteristic
1186C2×C22⋊C4C23×C7311yescharacteristic
1187C2×C22⋊C4C23×C7311yescharacteristic
1188C2×C22⋊C4C23×C7311yescharacteristic
1189C2×C22⋊C4C23×C7311yescharacteristic
1190C2×C22⋊C4C23×C7311yescharacteristic
1191C2×C22⋊C4C23×C7311yescharacteristic
1192C2×C22⋊C4C23×C7311yescharacteristic
1193C2×C22⋊C4C23×C7311yescharacteristic
1194C2×C22⋊C4C23×C7311yescharacteristic
1195C2×C22⋊C4C23×C7311yescharacteristic
1196C2×C22⋊C4C23×C7311yescharacteristic
1197C2×C22⋊C4C23×C7311yescharacteristic
1198C2×C22⋊C4C23×C7311yescharacteristic
1199C2×C22⋊C4C23×C7311yescharacteristic
1200C2×C22⋊C4C23×C7311yescharacteristic
1201C2×C22⋊C4C23×C7311yescharacteristic
1202C2×C22⋊C4C23×C7311yescharacteristic
1203C2×C22⋊C4C23×C7311yescharacteristic
1204C2×C22⋊C4C23×C7311yescharacteristic
1205C2×C22⋊C4C23×C7311yescharacteristic
1206C2×C22⋊C4C23×C7311yescharacteristic
1207C2×C22⋊C4C23×C7311yescharacteristic
1208C2×C22⋊C4C23×C7311yescharacteristic
1209C2×C22⋊C4C23×C7311yescharacteristic
1210C2×C22⋊C4C23×C7311yescharacteristic
1211C2×C22⋊C4C23×C7311yescharacteristic
1212C2×C22⋊C4C23×C7311yescharacteristic
1213C2×C22⋊C4C23×C7311yescharacteristic
1214C2×C22⋊C4C23×C7311yescharacteristic
1215C2×C22⋊C4C23×C7311yescharacteristic
1216C2×C22⋊C4C23×C7311yescharacteristic
1217C2×C22⋊C4C23×C7311yescharacteristic
1218C2×C22⋊C4C23×C7311yescharacteristic
1219C2×C22⋊C4C23×C7311yescharacteristic
1220C2×C22⋊C4C23×C7311yescharacteristic
1221C2×C22⋊C4C23×C7311yescharacteristic
1222C2×C22⋊C4C23×C7311yescharacteristic
1223C2×C42—42no—
1224C2×C42C23×C7311yescharacteristic
1225C2×C42C23×C7311yescharacteristic
1226C2×C42C23×C7311yescharacteristic
1227C2×C42C23×C7311yescharacteristic
1228C2×C42C23×C7311yescharacteristic
1229C2×C42C23×C7311yescharacteristic
1230C2×C42C23×C7311yescharacteristic
1231#95C23×C7311yescharacteristic
1232#95C23×C7311yescharacteristic
1233#95C23×C7311yescharacteristic
1234#95C23×C7311yescharacteristic
1235#95C23×C7311yescharacteristic
1236#95C23×C7311yescharacteristic
1237#95C23×C7311yescharacteristic
1238#95C23×C7311yescharacteristic
1239#95C23×C7311yescharacteristic
1240#95C23×C7311yescharacteristic
1241#95C23×C7311yescharacteristic
1242#95C23×C7311yescharacteristic
1243#95C23×C7311yescharacteristic
1244#95C23×C7311yescharacteristic
1245#95C23×C7311yescharacteristic
1246#95C23×C7311yescharacteristic
1247#95C23×C7311yescharacteristic
1248#95C23×C7311yescharacteristic
1249#95C23×C7311yescharacteristic
1250#95C23×C7311yescharacteristic
1251#95C23×C7311yescharacteristic
1252#95C23×C7311yescharacteristic
1253#95C23×C7311yescharacteristic
1254#95C23×C7311yescharacteristic
1255#95C23×C7311yescharacteristic
1256#95C23×C7311yescharacteristic
1257#95C23×C7311yescharacteristic
1258#95C23×C7311yescharacteristic
1259#95C23×C7311yescharacteristic
1260#95C23×C7311yescharacteristic
1261#95C23×C7311yescharacteristic
1262#95C23×C7311yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24#41×C7314yes—
1284C24C24×C7311yescharacteristic
1285C24C24×C7311yescharacteristic
1286C24C24×C7311yescharacteristic
1287C24C24×C7311yescharacteristic
1288C24C24×C7311yescharacteristic
1289C24C24×C7311yescharacteristic
1290C24C24×C7311yescharacteristic
1291C24C24×C7311yescharacteristic
1292C2×Q8—22no—
1293C2×Q8—41no—
1294C2×Q8—41no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—416no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—416no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4C24×C7311yescharacteristic
1382C22×C4C24×C7311yescharacteristic
1383C22×C4C24×C7311yescharacteristic
1384C22×C4C24×C7311yescharacteristic
1385C22×C4C24×C7311yescharacteristic
1386C22×C4C24×C7311yescharacteristic
1387C22×C4C24×C7311yescharacteristic
1388C22×C4C24×C7311yescharacteristic
1389C22×C4C24×C7311yescharacteristic
1390C22×C4C24×C7311yescharacteristic
1391C22×C4C24×C7311yescharacteristic
1392C22×C4C24×C7311yescharacteristic
1393C22×C4C24×C7311yescharacteristic
1394C22×C4C24×C7311yescharacteristic
1395C22×C4C24×C7311yescharacteristic
1396C22×C4C24×C7311yescharacteristic
1397C22×C4C24×C7311yescharacteristic
1398C22×C4C24×C7311yescharacteristic
1399C22×C4C24×C7311yescharacteristic
1400C22×C4C24×C7311yescharacteristic
1401C22×C4C24×C7311yescharacteristic
1402C22×C4C24×C7311yescharacteristic
1403C22×C4C24×C7311yescharacteristic
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C42—22no—
1489C42—22no—
1490C42—41no—
1491C42—41no—
1492C42—41no—
1493C42—41no—
1494C42—41no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—28no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23C2×#41×C7312yes—
1568C23C2×#41×C7312yes—
1569C23C2×#41×C7312yes—
1570C23H(5,𝔽2)×C7312yes—
1571C23H(5,𝔽2)×C7312yes—
1572C23C25×C7311yescharacteristic
1573Q8—82no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—44no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—82no—
1588D4—82no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—82no—
1664C2×C4—82no—
1665C2×C4—82no—
1666C2×C4—82no—
1667C2×C4—82no—
1668C2×C4H(5,𝔽2)×C7312yes—
1669C2×C4H(5,𝔽2)×C7312yes—
1670C2×C4H(5,𝔽2)×C7312yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—88no—
1727C22—88no—
1728C22—88no—
1729C22#538×C7314yes—
1730C22C22×#41×C7311yescharacteristic
1731C22C2×H(5,𝔽2)×C7311yescharacteristic
1732C22C2×H(5,𝔽2)×C7311yescharacteristic
1733C22C2×H(5,𝔽2)×C7311yescharacteristic
1734C22C2×H(5,𝔽2)×C7311yescharacteristic
1735C22C2×H(5,𝔽2)×C7311yescharacteristic
1736C22#585×C7311yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C2—24no—
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C2×#538×C7311yescharacteristic
1769C2C73×#349011yescharacteristic
1770C2C73×#350511yescharacteristic
1771C2C73×#353711yescharacteristic
1772C2C73×#354211yescharacteristic
1773C2C73×#354311yescharacteristic
1774C2C73×#355811yescharacteristic
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×#2852C2semidirect
2. C73×#2850C2semidirect
3. C73×#2797C2semidirect
4. C73×#2761C2semidirect
5. C73×#2756C2semidirect
6. C73×#2753C2semidirect
7. C73×#2752C2semidirect
8. C73×#2751C2semidirect
9. C73×#2749C2semidirect
10. C73×#2730C2semidirect
11. C73×#2714C2semidirect
12. C73×#2714C2semidirect
13. C73×#2703C2semidirect
14. C73×#2685C2semidirect
15. C73×#2685C2semidirect
16. C73×#2678C2semidirect
17. C73×#2676C2semidirect
18. C73×#2670C2semidirect
19. C73×#2622C2semidirect
20. C73×#2617C2semidirect
21. C73×#2481C2semidirect
22. C73×#2472C2semidirect
23. C73×#2443C2semidirect
24. C73×#2437C2semidirect
25. C73×#2424C2semidirect
26. C73×#2410C2semidirect
27. C73×#2410C2semidirect
28. C73×#2403C2semidirect
29. C73×#2321C2semidirect
30. C73×#2308C2semidirect
31. C2×#390×C73C2semidirect
34. C2×#126×C73C22semidirect
35. C2×#126×C73C22semidirect
36. C2×#124×C73C22semidirect
37. C2×#124×C73C22semidirect
38. C2×#123×C73C22semidirect
39. C2×C22⋊Q8×C73C22semidirect
40. C2×C22⋊Q8×C73C22semidirect
43. C2×#121×C73C22semidirect
44. C2×#121×C73C22semidirect
45. C2×#121×C73C22semidirect
51. C2×#120×C73C22semidirect
52. C2×#120×C73C22semidirect
53. C2×C4×D4×C73C22semidirect
54. C22×C4⋊C4×C73C22semidirect
58. C22×C22⋊C4×C73C22semidirect
59. C22×C22⋊C4×C73C22semidirect
60. C22×C42×C73C22semidirect
61. #400×C73C22semidirect
62. #400×C73C22semidirect
63. #399×C73C22semidirect
64. #399×C73C22semidirect
65. #398×C73C22semidirect
66. #397×C73C22semidirect
67. #397×C73C22semidirect
68. #397×C73C22semidirect
69. #397×C73C22semidirect
70. #397×C73C22semidirect
71. #397×C73C22semidirect
72. #397×C73C22semidirect
73. #397×C73C22semidirect
74. #397×C73C22semidirect
75. #396×C73C22semidirect
76. #396×C73C22semidirect
77. #396×C73C22semidirect
78. #396×C73C22semidirect
81. #394×C73C22semidirect
82. #394×C73C22semidirect
83. #394×C73C22semidirect
84. #394×C73C22semidirect
85. #394×C73C22semidirect
86. #394×C73C22semidirect
87. #394×C73C22semidirect
88. #394×C73C22semidirect
89. #394×C73C22semidirect
90. #394×C73C22semidirect
91. #394×C73C22semidirect
92. #394×C73C22semidirect
93. #394×C73C22semidirect
94. #394×C73C22semidirect
95. #394×C73C22semidirect
96. #393×C73C22semidirect
97. #393×C73C22semidirect
104. #392×C73C22semidirect
105. #392×C73C22semidirect
106. #392×C73C22semidirect
107. #392×C73C22semidirect
108. #392×C73C22semidirect
109. #391×C73C22semidirect
114. #390×C73C22semidirect
115. #390×C73C22semidirect
116. #390×C73C22semidirect
117. #390×C73C22semidirect
118. #390×C73C22semidirect
119. #390×C73C22semidirect
120. #390×C73C22semidirect
121. #390×C73C22semidirect
122. #390×C73C22semidirect
123. #388×C73C22semidirect
124. #388×C73C22semidirect
125. #388×C73C22semidirect
126. #388×C73C22semidirect
127. #388×C73C22semidirect
128. #388×C73C22semidirect
129. #388×C73C22semidirect
130. #388×C73C22semidirect
131. #388×C73C22semidirect
132. #388×C73C22semidirect
133. #388×C73C22semidirect
134. #388×C73C22semidirect
135. #388×C73C22semidirect
136. #388×C73C22semidirect
137. #388×C73C22semidirect
138. #388×C73C22semidirect
139. #387×C73C22semidirect
140. #387×C73C22semidirect
141. #387×C73C22semidirect
142. #387×C73C22semidirect
143. #387×C73C22semidirect
144. #387×C73C22semidirect
155. #386×C73C22semidirect
156. #386×C73C22semidirect
157. #386×C73C22semidirect
158. #386×C73C22semidirect
159. #386×C73C22semidirect
160. #386×C73C22semidirect
161. #386×C73C22semidirect
162. #386×C73C22semidirect
163. #386×C73C22semidirect
164. #386×C73C22semidirect
165. #386×C73C22semidirect
166. #386×C73C22semidirect
167. #385×C73C22semidirect
168. #385×C73C22semidirect
169. #385×C73C22semidirect
170. #385×C73C22semidirect
171. #385×C73C22semidirect
172. #385×C73C22semidirect
173. #385×C73C22semidirect
174. #385×C73C22semidirect
175. #383×C73C22semidirect
176. #382×C73C22semidirect
177. #381×C73C22semidirect
178. #381×C73C22semidirect
179. #380×C73C22semidirect
180. #380×C73C22semidirect
182. #379×C73C22semidirect
183. #379×C73C22semidirect
184. #379×C73C22semidirect
185. #379×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
872. #36808C73direct (N × H)
888. #2852C2×C73semidirect
889. #2850C2×C73semidirect
890. #2797C2×C73semidirect
891. #2761C2×C73semidirect
892. #2756C2×C73semidirect
893. #2753C2×C73semidirect
894. #2752C2×C73semidirect
895. #2751C2×C73semidirect
896. #2749C2×C73semidirect
897. #2730C2×C73semidirect
898. #2714C2×C73semidirect
899. #2714C2×C73semidirect
900. #2703C2×C73semidirect
901. #2685C2×C73semidirect
902. #2685C2×C73semidirect
903. #2678C2×C73semidirect
904. #2676C2×C73semidirect
905. #2670C2×C73semidirect
906. #2622C2×C73semidirect
907. #2617C2×C73semidirect
908. #2481C2×C73semidirect
909. #2472C2×C73semidirect
910. #2443C2×C73semidirect
911. #2437C2×C73semidirect
912. #2424C2×C73semidirect
913. #2410C2×C73semidirect
914. #2410C2×C73semidirect
915. #2403C2×C73semidirect
916. #2321C2×C73semidirect
917. #2308C2×C73semidirect
918. C2×#390C2×C73semidirect
919. C73#36808direct (N × H)
922. C2×#126C22×C73semidirect
923. C2×#126C22×C73semidirect
924. C2×#124C22×C73semidirect
925. C2×#124C22×C73semidirect
926. C2×#123C22×C73semidirect
927. C2×C22⋊Q8C22×C73semidirect
928. C2×C22⋊Q8C22×C73semidirect
931. C2×#121C22×C73semidirect
932. C2×#121C22×C73semidirect
933. C2×#121C22×C73semidirect
939. C2×#120C22×C73semidirect
940. C2×#120C22×C73semidirect
941. C2×C4×D4C22×C73semidirect
942. C22×C4⋊C4C22×C73semidirect
946. C22×C22⋊C4C22×C73semidirect
947. C22×C22⋊C4C22×C73semidirect
948. C22×C42C22×C73semidirect
949. #400C22×C73semidirect
950. #400C22×C73semidirect
951. #399C22×C73semidirect
952. #399C22×C73semidirect
953. #398C22×C73semidirect
954. #397C22×C73semidirect
955. #397C22×C73semidirect
956. #397C22×C73semidirect
957. #397C22×C73semidirect
958. #397C22×C73semidirect
959. #397C22×C73semidirect
960. #397C22×C73semidirect
961. #397C22×C73semidirect
962. #397C22×C73semidirect
963. #396C22×C73semidirect
964. #396C22×C73semidirect
965. #396C22×C73semidirect
966. #396C22×C73semidirect
969. #394C22×C73semidirect
970. #394C22×C73semidirect
971. #394C22×C73semidirect
972. #394C22×C73semidirect
973. #394C22×C73semidirect
974. #394C22×C73semidirect
975. #394C22×C73semidirect
976. #394C22×C73semidirect
977. #394C22×C73semidirect
978. #394C22×C73semidirect
979. #394C22×C73semidirect
980. #394C22×C73semidirect
981. #394C22×C73semidirect
982. #394C22×C73semidirect
983. #394C22×C73semidirect
984. #393C22×C73semidirect
985. #393C22×C73semidirect
992. #392C22×C73semidirect
993. #392C22×C73semidirect
994. #392C22×C73semidirect
995. #392C22×C73semidirect
996. #392C22×C73semidirect
997. #391C22×C73semidirect
1002. #390C22×C73semidirect
1003. #390C22×C73semidirect
1004. #390C22×C73semidirect
1005. #390C22×C73semidirect
1006. #390C22×C73semidirect
1007. #390C22×C73semidirect
1008. #390C22×C73semidirect
1009. #390C22×C73semidirect
1010. #390C22×C73semidirect
1011. #388C22×C73semidirect
1012. #388C22×C73semidirect
1013. #388C22×C73semidirect
1014. #388C22×C73semidirect
1015. #388C22×C73semidirect
1016. #388C22×C73semidirect
1017. #388C22×C73semidirect
1018. #388C22×C73semidirect
1019. #388C22×C73semidirect
1020. #388C22×C73semidirect
1021. #388C22×C73semidirect
1022. #388C22×C73semidirect
1023. #388C22×C73semidirect
1024. #388C22×C73semidirect
1025. #388C22×C73semidirect
1026. #388C22×C73semidirect
1027. #387C22×C73semidirect
1028. #387C22×C73semidirect
1029. #387C22×C73semidirect
1030. #387C22×C73semidirect
1031. #387C22×C73semidirect
1032. #387C22×C73semidirect
1043. #386C22×C73semidirect
1044. #386C22×C73semidirect
1045. #386C22×C73semidirect
1046. #386C22×C73semidirect
1047. #386C22×C73semidirect
1048. #386C22×C73semidirect
1049. #386C22×C73semidirect
1050. #386C22×C73semidirect
1051. #386C22×C73semidirect
1052. #386C22×C73semidirect
1053. #386C22×C73semidirect
1054. #386C22×C73semidirect
1055. #385C22×C73semidirect
1056. #385C22×C73semidirect
1057. #385C22×C73semidirect
1058. #385C22×C73semidirect
1059. #385C22×C73semidirect
1060. #385C22×C73semidirect
1061. #385C22×C73semidirect
1062. #385C22×C73semidirect
1063. #383C22×C73semidirect
1064. #382C22×C73semidirect
1065. #381C22×C73semidirect
1066. #381C22×C73semidirect
1067. #380C22×C73semidirect
1068. #380C22×C73semidirect
1070. #379C22×C73semidirect
1071. #379C22×C73semidirect
1072. #379C22×C73semidirect
1073. #379C22×C73semidirect
1074. C4×C22⋊C4C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28522
C73×#28502
C73×#27972
C73×#27612
C73×#27562
C73×#27532
C73×#27522
C73×#27512
C73×#27492
C73×#27302
C73×#27142
C73×#27032
C73×#26852
C73×#26782
C73×#26762
C73×#26702
C73×#26222
C73×#26172
C73×#24812
C73×#24722
C73×#24432
C73×#24372
C73×#24242
C73×#24102
C73×#24032
C73×#23212
C73×#23082
C2×#390×C732
#3680873