Finite Group Databasebeta

← #33950809

Subgroups — #33950809

Order 18688.

2242 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989096C211yesmaximal, characteristic
2#22618990C212yesmaximal, complemented
3#22618988C212yesmaximal, complemented
4#22618980C212yesmaximal, complemented
5#22618973C212yesmaximal, complemented
6#22618971C211yesmaximal, characteristic, complemented
7#22618970C211yesmaximal, characteristic, complemented
8#22618967C211yesmaximal, characteristic, complemented
9#22618966C211yesmaximal, characteristic, complemented
10#22618962C211yesmaximal, characteristic, complemented
11#22618959C211yesmaximal, characteristic, complemented
12#22618957C211yesmaximal, characteristic, complemented
13#22618657C212yesmaximal, complemented
14#22618651C212yesmaximal, complemented
15#22618631C212yesmaximal, complemented
16#22618629C212yesmaximal, complemented
17#22618590C211yesmaximal, characteristic, complemented
18#22618584C211yesmaximal, characteristic, complemented
19#22618381C211yesmaximal, characteristic, complemented
20#22618377C211yesmaximal, characteristic, complemented
21C2×#17988549C211yesmaximal, characteristic, complemented
22#407×D73C211yesmaximal, characteristic, complemented
23C73×#2974C211yesmaximal, characteristic, complemented
24C22×#11924028C2211yescharacteristic
25C23×C4×D73C2211yescharacteristic
26C2×#14556599C2212yescomplemented
27C2×#14556597C2212yescomplemented
28C22×#11924011C2212yescomplemented
29C2×M16×D73C2212yescomplemented
30#17989096C411yescharacteristic
31#17989096C411yescharacteristic
32#17989096C411yescharacteristic
33#17989096C411yescharacteristic
34#17989096C411yescharacteristic
35#17989096C411yescharacteristic
36#17989096C411yescharacteristic
37#17989096C411yescharacteristic
38#17989096C2211yescharacteristic
39#17989096C2211yescharacteristic
40#17989096C2211yescharacteristic
41#17989096C2211yescharacteristic
42#17989096C2211yescharacteristic
43#17989096C2211yescharacteristic
44#17989096C2211yescharacteristic
45#17989096C2211yescharacteristic
46C2×#14556576C411yescharacteristic
47C2×#14556573C411yescharacteristic
48C2×#14556569C411yescharacteristic
49C2×#14556568C411yescharacteristic
50C2×#14556564C411yescharacteristic
51C2×#14556563C411yescharacteristic
52C2×#14556561C411yescharacteristic
53C2×#14556559C411yescharacteristic
54C2×C4×D292C2211yescharacteristic
55C2×C4×C22⋊D73C2211yescharacteristic
56C2×C4×C22⋊D73C2211yescharacteristic
57C2×#14556548C2211yescharacteristic
58#17988666C2212yescomplemented
59#17988666C2212yescomplemented
60#17988665C2212yescomplemented
61#17988664C2212yescomplemented
62#17988664C2212yescomplemented
63#17988663C2212yescomplemented
64#17988663C2212yescomplemented
65#17988663C2212yescomplemented
66#17988662C2212yescomplemented
67#17988662C2212yescomplemented
68#17988662C2212yescomplemented
69#17988661C2212yescomplemented
70#17988660C2212yescomplemented
71#17988660C2212yescomplemented
72#17988659C2212yescomplemented
73#17988659C2212yescomplemented
74#17988658C2212yescomplemented
75#17988658C2212yescomplemented
76#17988658C2212yescomplemented
77#17988657C2212yescomplemented
78#17988657C2212yescomplemented
79#17988656C2212yescomplemented
80#17988655C2212yescomplemented
81#17988655C2212yescomplemented
82#17988655C2212yescomplemented
83D4×#10596831C2212yescomplemented
84C8×C22⋊D73C2212yescomplemented
85#17988650C2212yescomplemented
86#17988649C2212yescomplemented
87#17988647C2212yescomplemented
88#17988647C2212yescomplemented
89#17988646C2212yescomplemented
90#17988644C2211yescharacteristic, complemented
91#17988641C2211yescharacteristic, complemented
92#17988641C2211yescharacteristic, complemented
93#17988640C2211yescharacteristic, complemented
94#17988637C2211yescharacteristic, complemented
95#17988637C2211yescharacteristic, complemented
96#17988612C2212yescomplemented
97#17988612C2212yescomplemented
98#17988555C2212yescomplemented
99#17988553C2212yescomplemented
100#17988552C2212yescomplemented
101#17988552C2212yescomplemented
102#17988552C2212yescomplemented
103#17988552C2212yescomplemented
104#17988551C2211yescharacteristic
105#17988551C2211yescharacteristic, complemented
106#17988550C2212yescomplemented
107#17988549C2211yescharacteristic
108#17988549C2211yescharacteristic
109#17988549C2211yescharacteristic
110#17988549C2211yescharacteristic
111#17988549C2211yescharacteristic
112#17988549C2211yescharacteristic
113#17988549C2212yescomplemented
114#17988549C2212yescomplemented
115#17988549C2212yescomplemented
116#17988549C2211yescharacteristic, complemented
117#17988549C2211yescharacteristic, complemented
118C2×C22⋊#10596831C2211yescharacteristic
119C2×C22⋊#10596831C2211yescharacteristic, complemented
120C2×#14556503C2212yescomplemented
121C22⋊C8×D73C2211yescharacteristic
122C22⋊C8×D73C2211yescharacteristic
123C22⋊C8×D73C2212yescomplemented
124C22⋊C8×D73C2211yescharacteristic, complemented
125C22⋊C8×D73C2211yescharacteristic, complemented
126#17988544C2212yescomplemented
127#17988541C2212yescomplemented
128C2×C4×D4×C73C2211yescharacteristic
129#436×C73C2212yescomplemented
130#435×C73C2212yescomplemented
131#435×C73C2212yescomplemented
132C8×D4×C73C2212yescomplemented
133#432×C73C2211yescharacteristic, complemented
134#431×C73C2211yescharacteristic, complemented
135#407×C73C2211yescharacteristic
136#407×C73C2211yescharacteristic, complemented
137C2×C22⋊C8×C73C2211yescharacteristic
138C2×C22⋊C8×C73C2211yescharacteristic, complemented
139C24×D73C2×C411yescharacteristic
140C2×#11924028—44no—
141C2×#11924028C2×C411yescharacteristic
142C2×#11924028C2×C411yescharacteristic
143C2×#11924028C2×C411yescharacteristic
144C2×#11924028C2×C411yescharacteristic
145C2×#11924028C2311yescharacteristic
146C2×#11924028C2311yescharacteristic
147C2×#11924028C2311yescharacteristic
148C2×#11924028C2311yescharacteristic
149C22×Dic146C2×C411yescharacteristic
150C22×D292C2×C411yescharacteristic
151C22×D292C2×C411yescharacteristic
152C22×C22⋊D73C2×C411yescharacteristic
153C22×C22⋊D73C2×C411yescharacteristic
154C22×C22⋊D73C2×C411yescharacteristic
155C22×C22⋊D73C2×C411yescharacteristic
156C23×Dic73C2×C411yescharacteristic
157C22×C4×D73—44no—
158C22×C4×D73C2×C411yescharacteristic
159C22×C4×D73C2×C411yescharacteristic
160C22×C4×D73C2×C411yescharacteristic
161C22×C4×D73C2×C411yescharacteristic
162C22×C4×D73C2×C411yescharacteristic
163C22×C4×D73C2×C411yescharacteristic
164C22×C4×D73C2311yescharacteristic
165C22×C4×D73C2311yescharacteristic
166C22×C4×D73C2311yescharacteristic
167C22×C4×D73C2311yescharacteristic
168C22×C4×D73C2311yescharacteristic
169C22×C4×D73C2311yescharacteristic
170C22×C4×D73C2311yescharacteristic
171#14556599—44no—
172#14556597—44no—
173C2×#11924012C2312yes—
174C2×#11924012C2312yescomplemented
175C2×#11924011—44no—
176C2×#11924011C2312yes—
177C2×#11924011C2312yes—
178C2×#11924011C2312yes—
179C2×#11924011C2312yes—
180C2×#11924011C2312yes—
181C2×#11924011C2312yes—
182C2×#11924011C2312yescomplemented
183C2×#11924011C2312yescomplemented
184M16×D73—44no—
185C22×#10596831C2312yes—
186C22×#10596831C2312yescomplemented
187C2×C8×D73C2312yes—
188C2×C8×D73C2312yes—
189C2×C8×D73C2312yescomplemented
190C2×C8×D73C2312yescomplemented
191#14556576C2×C411yescharacteristic
192#14556576C2×C411yescharacteristic
193#14556576C2×C411yescharacteristic
194#14556576C2×C411yescharacteristic
195#14556576C2×C411yescharacteristic
196#14556576C2×C411yescharacteristic
197#14556576C2×C411yescharacteristic
198#14556576C2×C411yescharacteristic
199#14556573C2×C411yescharacteristic
200#14556573C2×C411yescharacteristic
201#14556573C2×C411yescharacteristic
202#14556573C2×C411yescharacteristic
203#14556573C2×C411yescharacteristic
204#14556573C2×C411yescharacteristic
205#14556573C2×C411yescharacteristic
206#14556573C2×C411yescharacteristic
207#14556569C2×C411yescharacteristic
208#14556569C2×C411yescharacteristic
209#14556569C2×C411yescharacteristic
210#14556569C2×C411yescharacteristic
211#14556569C2×C411yescharacteristic
212#14556569C2×C411yescharacteristic
213#14556569C2×C411yescharacteristic
214#14556569C2×C411yescharacteristic
215#14556568C2×C411yescharacteristic
216#14556568C2×C411yescharacteristic
217#14556568C2×C411yescharacteristic
218#14556568C2×C411yescharacteristic
219#14556568C2×C411yescharacteristic
220#14556568C2×C411yescharacteristic
221#14556568C2×C411yescharacteristic
222#14556568C2×C411yescharacteristic
223#14556564C2×C411yescharacteristic
224#14556564C2×C411yescharacteristic
225#14556564C2×C411yescharacteristic
226#14556564C2×C411yescharacteristic
227#14556564C2×C411yescharacteristic
228#14556564C2×C411yescharacteristic
229#14556564C2×C411yescharacteristic
230#14556564C2×C411yescharacteristic
231#14556563C2×C411yescharacteristic
232#14556563C2×C411yescharacteristic
233#14556563C2×C411yescharacteristic
234#14556563C2×C411yescharacteristic
235#14556563C2×C411yescharacteristic
236#14556563C2×C411yescharacteristic
237#14556563C2×C411yescharacteristic
238#14556563C2×C411yescharacteristic
239#14556561C2×C411yescharacteristic
240#14556561C2×C411yescharacteristic
241#14556561C2×C411yescharacteristic
242#14556561C2×C411yescharacteristic
243#14556561C2×C411yescharacteristic
244#14556561C2×C411yescharacteristic
245#14556561C2×C411yescharacteristic
246#14556561C2×C411yescharacteristic
247#14556559C2×C411yescharacteristic
248#14556559C2×C411yescharacteristic
249#14556559C2×C411yescharacteristic
250#14556559C2×C411yescharacteristic
251#14556559C2×C411yescharacteristic
252#14556559C2×C411yescharacteristic
253#14556559C2×C411yescharacteristic
254#14556559C2×C411yescharacteristic
255C4×D292C2×C411yescharacteristic
256C4×D292C2×C411yescharacteristic
257C4×D292C2×C411yescharacteristic
258C4×D292C2×C411yescharacteristic
259C4×D292C2311yescharacteristic
260C4×D292C2311yescharacteristic
261C4×D292C2311yescharacteristic
262C4×D292C2311yescharacteristic
263C4×C22⋊D73C2×C411yescharacteristic
264C4×C22⋊D73C2×C411yescharacteristic
265C4×C22⋊D73C2×C411yescharacteristic
266C4×C22⋊D73C2×C411yescharacteristic
267C4×C22⋊D73C2×C411yescharacteristic
268C4×C22⋊D73C2×C411yescharacteristic
269C4×C22⋊D73C2×C411yescharacteristic
270C4×C22⋊D73C2×C411yescharacteristic
271C4×C22⋊D73C2311yescharacteristic
272C4×C22⋊D73C2311yescharacteristic
273C4×C22⋊D73C2311yescharacteristic
274C4×C22⋊D73C2311yescharacteristic
275C4×C22⋊D73C2311yescharacteristic
276C4×C22⋊D73C2311yescharacteristic
277C4×C22⋊D73C2311yescharacteristic
278C4×C22⋊D73C2311yescharacteristic
279#14556548C2×C411yescharacteristic
280#14556548C2×C411yescharacteristic
281#14556548C2×C411yescharacteristic
282#14556548C2×C411yescharacteristic
283#14556548C2311yescharacteristic
284#14556548C2311yescharacteristic
285#14556548C2311yescharacteristic
286#14556548C2311yescharacteristic
287C2×C4⋊Dic73C2×C411yescharacteristic
288C2×#11924007C2×C411yescharacteristic
289C2×#11924007C2×C411yescharacteristic
290C2×#11924007C2×C411yescharacteristic
291C2×#11924007C2×C411yescharacteristic
292C2×C22⋊Dic73C2×C411yescharacteristic
293C2×C22⋊Dic73C2×C411yescharacteristic
294C2×#11924005C2×C411yescharacteristic
295C2×#11924005C2×C411yescharacteristic
296C2×#11924005C2×C411yescharacteristic
297C2×#11924005C2×C411yescharacteristic
298C2×#11924005C2×C411yescharacteristic
299C2×#11924005C2×C411yescharacteristic
300C2×C4×Dic73C2311yescharacteristic
301C4⋊#10596831C2312yescomplemented
302C4⋊#10596831C2312yescomplemented
303#14556520C2312yescomplemented
304#14556520C2312yescomplemented
305#14556520C2312yescomplemented
306#14556520C2312yescomplemented
307C22⋊#10596831C2311yescharacteristic
308C22⋊#10596831C2311yescharacteristic
309C22⋊#10596831C2311yescharacteristic
310C22⋊#10596831C2311yescharacteristic
311C22⋊#10596831C2312yes—
312C22⋊#10596831C2312yes—
313C22⋊#10596831C2312yescomplemented
314C22⋊#10596831C2312yescomplemented
315#14556503C2312yes—
316#14556503C2312yes—
317#14556503C2312yes—
318#14556503C2312yes—
319#14556503C2312yes—
320#14556503C2312yes—
321#14556503C2312yes—
322#14556503C2312yes—
323#14556503C2312yescomplemented
324#14556503C2312yescomplemented
325#14556503C2312yescomplemented
326#14556503C2312yescomplemented
327#14556502C2312yescomplemented
328#14556501C2312yescomplemented
329#14556501C2312yescomplemented
330C4×#10596831C2312yescomplemented
331C8×Dic73C2312yescomplemented
332C8×Dic73C2312yescomplemented
333C22×D4×C73C2×C411yescharacteristic
334C23×C4×C73C2311yescharacteristic
335C23×C4×C73C2311yescharacteristic
336C2×M16×C73C2312yes—
337C2×M16×C73C2312yescomplemented
338C22×C8×C73C2312yes—
339C22×C8×C73C2312yescomplemented
340C4×D4×C73C2×C411yescharacteristic
341C4×D4×C73C2×C411yescharacteristic
342C4×D4×C73C2×C411yescharacteristic
343C4×D4×C73C2×C411yescharacteristic
344C4×D4×C73C2311yescharacteristic
345C4×D4×C73C2311yescharacteristic
346C4×D4×C73C2311yescharacteristic
347C4×D4×C73C2311yescharacteristic
348C2×C4⋊C4×C73C2×C411yescharacteristic
349C2×C22⋊C4×C73C2×C411yescharacteristic
350C2×C22⋊C4×C73C2×C411yescharacteristic
351C2×C42×C73C2311yescharacteristic
352C4⋊C8×C73C2312yescomplemented
353C4⋊C8×C73C2312yescomplemented
354C22⋊C8×C73C2311yescharacteristic
355C22⋊C8×C73C2311yescharacteristic
356C22⋊C8×C73C2312yes—
357C22⋊C8×C73C2311yescharacteristic
358C22⋊C8×C73C2311yescharacteristic
359C22⋊C8×C73C2312yes—
360C22⋊C8×C73C2312yescomplemented
361C22⋊C8×C73C2312yescomplemented
362#97×C73C2312yescomplemented
363C4×C8×C73C2312yescomplemented
364C23×D73—42no—
365C23×D73—42no—
366C23×D73—42no—
367C23×D73C22×C411yescharacteristic
368C23×D73C22×C411yescharacteristic
369C23×D73C22×C411yescharacteristic
370C23×D73C22×C411yescharacteristic
371C23×D73C22×C411yescharacteristic
372C23×D73C22×C411yescharacteristic
373C23×D73C22×C411yescharacteristic
374#11924028—24no—
375#11924028—24no—
376#11924028—42no—
377#11924028—42no—
378#11924028—42no—
379#11924028—42no—
380#11924028—42no—
381#11924028—42no—
382C2×Dic146—42no—
383C2×Dic146C22×C411yescharacteristic
384C2×Dic146C22×C411yescharacteristic
385C2×Dic146C22×C411yescharacteristic
386C2×Dic146C22×C411yescharacteristic
387C2×D292—42no—
388C2×D292—42no—
389C2×D292C22×C411yescharacteristic
390C2×D292C22×C411yescharacteristic
391C2×D292C22×C411yescharacteristic
392C2×D292C22×C411yescharacteristic
393C2×D292C22×C411yescharacteristic
394C2×D292C22×C411yescharacteristic
395C2×D292C22×C411yescharacteristic
396C2×D292C22×C411yescharacteristic
397C2×C22⋊D73—42no—
398C2×C22⋊D73—42no—
399C2×C22⋊D73—42no—
400C2×C22⋊D73—42no—
401C2×C22⋊D73C22×C411yescharacteristic
402C2×C22⋊D73C22×C411yescharacteristic
403C2×C22⋊D73C22×C411yescharacteristic
404C2×C22⋊D73C22×C411yescharacteristic
405C2×C22⋊D73C22×C411yescharacteristic
406C2×C22⋊D73C22×C411yescharacteristic
407C2×C22⋊D73C22×C411yescharacteristic
408C2×C22⋊D73C22×C411yescharacteristic
409C2×C22⋊D73C22×C411yescharacteristic
410C2×C22⋊D73C22×C411yescharacteristic
411C2×C22⋊D73C22×C411yescharacteristic
412C2×C22⋊D73C22×C411yescharacteristic
413C2×C22⋊D73C22×C411yescharacteristic
414C2×C22⋊D73C22×C411yescharacteristic
415C2×C22⋊D73C22×C411yescharacteristic
416C2×C22⋊D73C22×C411yescharacteristic
417C22×Dic73—42no—
418C22×Dic73C22×C411yescharacteristic
419C22×Dic73C22×C411yescharacteristic
420C22×Dic73C22×C411yescharacteristic
421C22×Dic73C22×C411yescharacteristic
422C22×Dic73C22×C411yescharacteristic
423C22×Dic73C22×C411yescharacteristic
424C22×Dic73C22×C411yescharacteristic
425C22×Dic73C22×C411yescharacteristic
426C22×Dic73C22×C411yescharacteristic
427C2×C4×D73—24no—
428C2×C4×D73—24no—
429C2×C4×D73—24no—
430C2×C4×D73—42no—
431C2×C4×D73—42no—
432C2×C4×D73—42no—
433C2×C4×D73—42no—
434C2×C4×D73—42no—
435C2×C4×D73—42no—
436C2×C4×D73—42no—
437C2×C4×D73—42no—
438C2×C4×D73—42no—
439C2×C4×D73—42no—
440C2×C4×D73C22×C411yescharacteristic
441C2×C4×D73C22×C411yescharacteristic
442C2×C4×D73C22×C411yescharacteristic
443C2×C4×D73C22×C411yescharacteristic
444C2×C4×D73C22×C411yescharacteristic
445C2×C4×D73C22×C411yescharacteristic
446C2×C4×D73C22×C411yescharacteristic
447C2×C4×D73C22×C411yescharacteristic
448C2×C4×D73C22×C411yescharacteristic
449C2×C4×D73C22×C411yescharacteristic
450C2×C4×D73C22×C411yescharacteristic
451C2×C4×D73C22×C411yescharacteristic
452C2×C4×D73C22×C411yescharacteristic
453C2×C4×D73C22×C411yescharacteristic
454C2×C4×D73C2411yescharacteristic
455C2×C4×D73C2411yescharacteristic
456C2×C4×D73C2411yescharacteristic
457C2×C4×D73C2411yescharacteristic
458C2×C4×D73C2411yescharacteristic
459C2×C4×D73C2411yescharacteristic
460#11924012—42no—
461#11924012—42no—
462#11924011—24no—
463#11924011—24no—
464#11924011—42no—
465#11924011—42no—
466#11924011—42no—
467#11924011—42no—
468#11924011—42no—
469#11924011—42no—
470C2×#10596831—42no—
471C2×#10596831—42no—
472C2×#10596831C2412yes—
473C2×#10596831C2412yes—
474C2×#10596831C2412yes—
475C2×#10596831C2412yes—
476C8×D73—24no—
477C8×D73—24no—
478C8×D73—42no—
479C8×D73—42no—
480C4⋊Dic73C22×C411yescharacteristic
481C4⋊Dic73C22×C411yescharacteristic
482C4⋊Dic73C22×C411yescharacteristic
483C4⋊Dic73C22×C411yescharacteristic
484#11924007C22×C411yescharacteristic
485#11924007C22×C411yescharacteristic
486#11924007C22×C411yescharacteristic
487#11924007C22×C411yescharacteristic
488#11924007C22×C411yescharacteristic
489#11924007C22×C411yescharacteristic
490#11924007C22×C411yescharacteristic
491#11924007C22×C411yescharacteristic
492#11924007C22×C411yescharacteristic
493#11924007C22×C411yescharacteristic
494#11924007C22×C411yescharacteristic
495#11924007C22×C411yescharacteristic
496#11924007C22×C411yescharacteristic
497#11924007C22×C411yescharacteristic
498#11924007C22×C411yescharacteristic
499#11924007C22×C411yescharacteristic
500C22⋊Dic73C22×C411yescharacteristic
501C22⋊Dic73C22×C411yescharacteristic
502C22⋊Dic73C22×C411yescharacteristic
503C22⋊Dic73C22×C411yescharacteristic
504C22⋊Dic73C22×C411yescharacteristic
505C22⋊Dic73C22×C411yescharacteristic
506C22⋊Dic73C22×C411yescharacteristic
507C22⋊Dic73C22×C411yescharacteristic
508#11924005C22×C411yescharacteristic
509#11924005C22×C411yescharacteristic
510#11924005C22×C411yescharacteristic
511#11924005C22×C411yescharacteristic
512#11924005C22×C411yescharacteristic
513#11924005C22×C411yescharacteristic
514#11924005C22×C411yescharacteristic
515#11924005C22×C411yescharacteristic
516#11924005C22×C411yescharacteristic
517#11924005C22×C411yescharacteristic
518#11924005C22×C411yescharacteristic
519#11924005C22×C411yescharacteristic
520#11924005C22×C411yescharacteristic
521#11924005C22×C411yescharacteristic
522#11924005C22×C411yescharacteristic
523#11924005C22×C411yescharacteristic
524#11924005C22×C411yescharacteristic
525#11924005C22×C411yescharacteristic
526#11924005C22×C411yescharacteristic
527#11924005C22×C411yescharacteristic
528#11924005C22×C411yescharacteristic
529#11924005C22×C411yescharacteristic
530#11924005C22×C411yescharacteristic
531#11924005C22×C411yescharacteristic
532C4×Dic73C22×C411yescharacteristic
533C4×Dic73C22×C411yescharacteristic
534C4×Dic73C2411yescharacteristic
535C4×Dic73C2411yescharacteristic
536C24×C73C22×C411yescharacteristic
537C24×C73C22×C411yescharacteristic
538C2×D4×C73—42no—
539C2×D4×C73C22×C411yescharacteristic
540C2×D4×C73C22×C411yescharacteristic
541C2×D4×C73C22×C411yescharacteristic
542C2×D4×C73C22×C411yescharacteristic
543C22×C4×C73—42no—
544C22×C4×C73—42no—
545C22×C4×C73C22×C411yescharacteristic
546C22×C4×C73C22×C411yescharacteristic
547C22×C4×C73C22×C411yescharacteristic
548C22×C4×C73C22×C411yescharacteristic
549C22×C4×C73C22×C411yescharacteristic
550C22×C4×C73C22×C411yescharacteristic
551C22×C4×C73C22×C411yescharacteristic
552C22×C4×C73C22×C411yescharacteristic
553C22×C4×C73C2411yescharacteristic
554C22×C4×C73C2411yescharacteristic
555C22×C4×C73C2411yescharacteristic
556C22×C4×C73C2411yescharacteristic
557C22×C4×C73C2411yescharacteristic
558M16×C73—42no—
559M16×C73—42no—
560C2×C8×C73—42no—
561C2×C8×C73—42no—
562C2×C8×C73C2412yes—
563C2×C8×C73C2412yes—
564C2×C8×C73C2412yes—
565C2×C8×C73C2412yes—
566C4⋊C4×C73C22×C411yescharacteristic
567C4⋊C4×C73C22×C411yescharacteristic
568C4⋊C4×C73C22×C411yescharacteristic
569C4⋊C4×C73C22×C411yescharacteristic
570C22⋊C4×C73C22×C411yescharacteristic
571C22⋊C4×C73C22×C411yescharacteristic
572C22⋊C4×C73C22×C411yescharacteristic
573C22⋊C4×C73C22×C411yescharacteristic
574C22⋊C4×C73C22×C411yescharacteristic
575C22⋊C4×C73C22×C411yescharacteristic
576C22⋊C4×C73C22×C411yescharacteristic
577C22⋊C4×C73C22×C411yescharacteristic
578C42×C73C22×C411yescharacteristic
579C42×C73C22×C411yescharacteristic
580C42×C73C2411yescharacteristic
581C42×C73C2411yescharacteristic
582C23×C73—22no—
583C23×C73—22no—
584C23×C73—22no—
585C23×C73—41no—
586C23×C73—41no—
587C23×C73—41no—
588C23×C73C23×C411yescharacteristic
589C23×C73C23×C411yescharacteristic
590C23×C73C23×C411yescharacteristic
591C23×C73C23×C411yescharacteristic
592C23×C73C23×C411yescharacteristic
593C22×D73—22no—
594C22×D73—22no—
595C22×D73—22no—
596C22×D73—22no—
597C22×D73—22no—
598C22×D73—22no—
599C22×D73—22no—
600C22×D73—22no—
601C22×D73—41no—
602C22×D73—41no—
603C22×D73—41no—
604C22×D73—41no—
605C22×D73—41no—
606C22×D73—41no—
607C22×D73—41no—
608C22×D73—41no—
609C22×D73—41no—
610C22×D73—41no—
611C22×D73—41no—
612C22×D73—41no—
613C22×D73—41no—
614C22×D73—416no—
615C22×D73C23×C411yescharacteristic
616C22×D73C23×C411yescharacteristic
617C22×D73C23×C411yescharacteristic
618C22×D73C23×C411yescharacteristic
619C22×D73C23×C411yescharacteristic
620C22×D73C23×C411yescharacteristic
621D4×C73—22no—
622D4×C73—22no—
623D4×C73—41no—
624D4×C73—41no—
625C2×C4×C73—22no—
626C2×C4×C73—22no—
627C2×C4×C73—22no—
628C2×C4×C73—22no—
629C2×C4×C73—22no—
630C2×C4×C73—22no—
631C2×C4×C73—41no—
632C2×C4×C73—41no—
633C2×C4×C73—41no—
634C2×C4×C73—41no—
635C2×C4×C73—41no—
636C2×C4×C73—41no—
637C2×C4×C73—41no—
638C2×C4×C73C23×C411yescharacteristic
639C2×C4×C73C23×C411yescharacteristic
640C2×C4×C73C23×C411yescharacteristic
641C2×C4×C73C23×C411yescharacteristic
642C2×C4×C73C23×C411yescharacteristic
643C2×C4×C73C23×C411yescharacteristic
644C2×C4×C73C23×C411yescharacteristic
645C2×C4×C73C23×C411yescharacteristic
646C2×C4×C73C23×C411yescharacteristic
647C2×C4×C73C2511yescharacteristic
648C22⋊D73—22no—
649C22⋊D73—22no—
650C22⋊D73—22no—
651C22⋊D73—22no—
652C22⋊D73—22no—
653C22⋊D73—22no—
654C22⋊D73—41no—
655C22⋊D73—41no—
656C22⋊D73—41no—
657C22⋊D73—41no—
658C22⋊D73—41no—
659C22⋊D73—41no—
660C22⋊D73—41no—
661C22⋊D73—41no—
662C22⋊D73—41no—
663C22⋊D73—41no—
664C2×Dic73—22no—
665C2×Dic73—22no—
666C2×Dic73—22no—
667C2×Dic73—22no—
668C2×Dic73—41no—
669C2×Dic73—41no—
670C2×Dic73—41no—
671C2×Dic73—41no—
672C2×Dic73—41no—
673C2×Dic73C23×C411yescharacteristic
674C2×Dic73C23×C411yescharacteristic
675C2×Dic73C23×C411yescharacteristic
676C2×Dic73C23×C411yescharacteristic
677C2×Dic73C23×C411yescharacteristic
678C2×Dic73C23×C411yescharacteristic
679C2×Dic73C23×C411yescharacteristic
680C2×Dic73C23×C411yescharacteristic
681C2×Dic73C23×C411yescharacteristic
682C2×Dic73C23×C411yescharacteristic
683D292—22no—
684D292—22no—
685D292—41no—
686D292—41no—
687D292—41no—
688D292—41no—
689D292—41no—
690D292—41no—
691C4×D73—22no—
692C4×D73—22no—
693C4×D73—22no—
694C4×D73—22no—
695C4×D73—22no—
696C4×D73—22no—
697C4×D73—22no—
698C4×D73—22no—
699C4×D73—22no—
700C4×D73—22no—
701C4×D73—22no—
702C4×D73—41no—
703C4×D73—41no—
704C4×D73—41no—
705C4×D73—41no—
706C4×D73—41no—
707C4×D73—41no—
708C4×D73—41no—
709C4×D73—41no—
710C4×D73H(5,𝔽2)14yes—
711Dic146—22no—
712Dic146—22no—
713Dic146—41no—
714Dic146—41no—
715C8×C73—22no—
716C8×C73—22no—
717C8×C73—22no—
718C8×C73—22no—
719#10596831—22no—
720#10596831—22no—
721#10596831—22no—
722#10596831—22no—
723C22×C73—21no—
724C22×C73—21no—
725C22×C73—21no—
726C22×C73—21no—
727C22×C73—21no—
728C22×C73—21no—
729C22×C73—21no—
730C22×C73—21no—
731C22×C73—21no—
732C22×C73—21no—
733C22×C73—21no—
734C22×C73—21no—
735C22×C73—21no—
736C22×C73—44no—
737C22×C73—82no—
738C22×C73#56812yes—
739C22×C73#56812yes—
740C22×C73C24×C411yescharacteristic
741C2×D73—21no—
742C2×D73—21no—
743C2×D73—21no—
744C2×D73—21no—
745C2×D73—21no—
746C2×D73—21no—
747C2×D73—21no—
748C2×D73—21no—
749C2×D73—21no—
750C2×D73—21no—
751C2×D73—21no—
752C2×D73—21no—
753C2×D73—21no—
754C2×D73—21no—
755C2×D73—21no—
756C2×D73—21no—
757C2×D73—21no—
758C2×D73—44no—
759C2×D73—44no—
760C2×D73—44no—
761C2×D73—44no—
762C2×D73—44no—
763C2×D73—44no—
764C2×D73—82no—
765C2×D73#51812yes—
766C4×C73—21no—
767C4×C73—21no—
768C4×C73—21no—
769C4×C73—21no—
770C4×C73—21no—
771C4×C73—21no—
772C4×C73—21no—
773C4×C73—21no—
774C4×C73—21no—
775C4×C73C2×H(5,𝔽2)12yes—
776Dic73—21no—
777Dic73—21no—
778Dic73—21no—
779Dic73—21no—
780Dic73—21no—
781Dic73—21no—
782Dic73—21no—
783Dic73—21no—
784Dic73—21no—
785Dic73#51812yes—
786#60234—731nomaximal, Sylow
787C2×C73—22no—
788C2×C73—22no—
789C2×C73—41no—
790C2×C73—41no—
791C2×C73—41no—
792C2×C73C2×#51811yescharacteristic
793C2×C73C2×#56811yescharacteristic
794C2×C73C2×#56811yescharacteristic
795D73—22no—
796D73—41no—
797D73—41no—
798D73—41no—
799D73—41no—
800D73—41no—
801C2×#525—731no—
802#2978—732no—
803#2978—732no—
804#2976—732no—
805#2976—732no—
806#2975—731no—
807#2975—731no—
808#2974—731no—
809#2974—731no—
810#2974—731no—
811#2974D7311yescharacteristic, complemented
812#2973—731no—
813#2973—731no—
814#2933—732no—
815#2933—732no—
816#2930—732no—
817#2930—732no—
818#2924—731no—
819#2924—731no—
820#2880—731no—
821#2880—731no—
822C2×#407—731no—
823C2×#407—731no—
824C73#6023411yescharacteristic, complemented, Sylow
825C22×#41—731no—
826C24×C4—731no—
827C2×#131—732no—
828C2×#131—732no—
829C22×M16—732no—
830C22×M16—732no—
831#525—731no—
832#525—731no—
833#525—731no—
834#525—731no—
835#525—731no—
836#525—731no—
837#525—731no—
838#525—731no—
839#525—731no—
840#525—731no—
841#525—731no—
842#525—731no—
843#525—731no—
844#525—731no—
845#525—731no—
846#525—731no—
847C2×#123—731no—
848C2×#123—731no—
849C2×C22⋊Q8—731no—
850C2×C22⋊Q8—731no—
851C2×#121—731no—
852C2×#121—731no—
853C2×#120—731no—
854C2×#120—731no—
855C2×C4×D4—731no—
856C2×C4×D4—731no—
857C2×C4×D4—731no—
858C2×C4×D4C2×D7311yescharacteristic
859C2×#117—731no—
860#436—732no—
861#436—732no—
862#436—732no—
863#436—732no—
864#436—732no—
865#436—732no—
866#436—732no—
867#436—732no—
868#436—732no—
869#436—732no—
870#436—732no—
871#436C2×D7312yescomplemented
872#435—732no—
873#435—732no—
874#435—732no—
875#435—732no—
876#435—732no—
877#435—732no—
878#435—732no—
879#435—732no—
880#435—732no—
881#435—732no—
882#435—732no—
883#435—732no—
884#435—732no—
885#435—732no—
886#435C2×D7312yescomplemented
887#435C2×D7312yescomplemented
888C8×D4—732no—
889C8×D4—732no—
890C8×D4—732no—
891C8×D4C2×D7312yescomplemented
892#433—732no—
893#433—732no—
894#433—732no—
895#433—732no—
896#432—731no—
897#432—731no—
898#432—731no—
899#432C2×D7311yescharacteristic, complemented
900#431—731no—
901#431—731no—
902#431—731no—
903#431C2×D7311yescharacteristic, complemented
904#424—732no—
905#424—732no—
906#408—732no—
907#408—732no—
908#408—732no—
909#408—732no—
910#408—732no—
911#408—732no—
912#407—731no—
913#407—731no—
914#407—732no—
915#407—731no—
916#407—731no—
917#407—732no—
918#407—731no—
919#407—731no—
920#407—731no—
921#407—731no—
922#407—732no—
923#407—732no—
924#407—731no—
925#407—731no—
926#407C2×D7311yescharacteristic
927#407C2×D7311yescharacteristic, complemented
928C2×C22⋊C8—731no—
929C2×C22⋊C8—731no—
930C2×C22⋊C8—732no—
931C2×C22⋊C8—731no—
932C2×C22⋊C8—731no—
933C2×C22⋊C8—732no—
934C2×C22⋊C8—731no—
935C2×C22⋊C8—731no—
936C2×C22⋊C8C2×D7311yescharacteristic
937C2×C22⋊C8C2×D7311yescharacteristic, complemented
938#405—732no—
939#405—732no—
940C25—731no—
941C2×#41—2924no—
942C2×#41—731no—
943C2×#41—731no—
944C2×#41—731no—
945C2×#41—731no—
946C2×#41—731no—
947C2×#41—731no—
948C2×#41—731no—
949C2×#41—731no—
950C22×Q8—731no—
951C22×D4—731no—
952C22×D4—731no—
953C22×D4—731no—
954C22×D4—731no—
955C22×D4—731no—
956C22×D4—731no—
957C22×D4C4×D7311yescharacteristic
958C23×C4—2924no—
959C23×C4—731no—
960C23×C4—731no—
961C23×C4—731no—
962C23×C4—731no—
963C23×C4—731no—
964C23×C4—731no—
965C23×C4—731no—
966C23×C4—731no—
967C23×C4—731no—
968C23×C4—731no—
969C23×C4—731no—
970C23×C4—731no—
971C23×C4—731no—
972C23×C4—731no—
973C23×C4C22×D7311yescharacteristic
974C23×C4C22×D7311yescharacteristic
975#131—2924no—
976#131—2924no—
977C2×M16—2924no—
978C2×M16—2924no—
979C2×M16—732no—
980C2×M16—732no—
981C2×M16—732no—
982C2×M16—732no—
983C2×M16—732no—
984C2×M16—732no—
985C2×M16—732no—
986C2×M16—732no—
987C2×M16—732no—
988C2×M16—732no—
989C2×M16C22×D7312yes—
990C2×M16C22×D7312yescomplemented
991C22×C8—732no—
992C22×C8—732no—
993C22×C8—732no—
994C22×C8—732no—
995C22×C8—732no—
996C22×C8—732no—
997C22×C8C22×D7312yes—
998C22×C8C22×D7312yescomplemented
999#123—731no—
1000#123—731no—
1001#123—731no—
1002#123—731no—
1003#123—731no—
1004#123—731no—
1005#123—731no—
1006#123—731no—
1007#123—731no—
1008#123—731no—
1009#123—731no—
1010#123—731no—
1011#123—731no—
1012#123—731no—
1013#123—731no—
1014#123—731no—
1015C22⋊Q8—731no—
1016C22⋊Q8—731no—
1017C22⋊Q8—731no—
1018C22⋊Q8—731no—
1019C22⋊Q8—731no—
1020C22⋊Q8—731no—
1021C22⋊Q8—731no—
1022C22⋊Q8—731no—
1023C22⋊Q8—731no—
1024C22⋊Q8—731no—
1025C22⋊Q8—731no—
1026C22⋊Q8—731no—
1027C22⋊Q8—731no—
1028C22⋊Q8—731no—
1029C22⋊Q8—731no—
1030C22⋊Q8—731no—
1031#121—731no—
1032#121—731no—
1033#121—731no—
1034#121—731no—
1035#121—731no—
1036#121—731no—
1037#121—731no—
1038#121—731no—
1039#121—731no—
1040#121—731no—
1041#121—731no—
1042#121—731no—
1043#121—731no—
1044#121—731no—
1045#121—731no—
1046#121—731no—
1047#120—731no—
1048#120—731no—
1049#120—731no—
1050#120—731no—
1051#120—731no—
1052#120—731no—
1053#120—731no—
1054#120—731no—
1055#120—731no—
1056#120—731no—
1057#120—731no—
1058#120—731no—
1059#120—731no—
1060#120—731no—
1061#120—731no—
1062#120—731no—
1063C4×D4—731no—
1064C4×D4—731no—
1065C4×D4—731no—
1066C4×D4—731no—
1067C4×D4—731no—
1068C4×D4—731no—
1069C4×D4—731no—
1070C4×D4—731no—
1071C4×D4—731no—
1072C4×D4—731no—
1073C4×D4—731no—
1074C4×D4—731no—
1075C4×D4—731no—
1076C4×D4—731no—
1077C4×D4—731no—
1078C4×D4—731no—
1079C4×D4—731no—
1080C4×D4—731no—
1081C4×D4—731no—
1082C4×D4—731no—
1083C4×D4—731no—
1084C4×D4—731no—
1085C4×D4—731no—
1086C4×D4—731no—
1087C4×D4C4×D7311yescharacteristic
1088C4×D4C4×D7311yescharacteristic
1089C4×D4C4×D7311yescharacteristic
1090C4×D4C4×D7311yescharacteristic
1091C4×D4C22×D7311yescharacteristic
1092C4×D4C22×D7311yescharacteristic
1093C4×D4C22×D7311yescharacteristic
1094C4×D4C22×D7311yescharacteristic
1095#117—731no—
1096#117—731no—
1097#117—731no—
1098#117—731no—
1099#117—731no—
1100#117—731no—
1101#117—731no—
1102#117—731no—
1103C2×C4⋊C4—731no—
1104C2×C4⋊C4—731no—
1105C2×C4⋊C4—731no—
1106C2×C4⋊C4—731no—
1107C2×C4⋊C4—731no—
1108C2×C4⋊C4C4×D7311yescharacteristic
1109C2×C22⋊C4—731no—
1110C2×C22⋊C4—731no—
1111C2×C22⋊C4—731no—
1112C2×C22⋊C4—731no—
1113C2×C22⋊C4—731no—
1114C2×C22⋊C4—731no—
1115C2×C22⋊C4—731no—
1116C2×C22⋊C4—731no—
1117C2×C22⋊C4C4×D7311yescharacteristic
1118C2×C22⋊C4C4×D7311yescharacteristic
1119C2×C42—731no—
1120C2×C42C22×D7311yescharacteristic
1121C4⋊C8—732no—
1122C4⋊C8—732no—
1123C4⋊C8—732no—
1124C4⋊C8—732no—
1125C4⋊C8—732no—
1126C4⋊C8—732no—
1127C4⋊C8C22×D7312yescomplemented
1128C4⋊C8C22×D7312yescomplemented
1129C22⋊C8—731no—
1130C22⋊C8—731no—
1131C22⋊C8—731no—
1132C22⋊C8—731no—
1133C22⋊C8—732no—
1134C22⋊C8—732no—
1135C22⋊C8—732no—
1136C22⋊C8—732no—
1137C22⋊C8—732no—
1138C22⋊C8—732no—
1139C22⋊C8—732no—
1140C22⋊C8—732no—
1141C22⋊C8—732no—
1142C22⋊C8—732no—
1143C22⋊C8—732no—
1144C22⋊C8—732no—
1145C22⋊C8—732no—
1146C22⋊C8—732no—
1147C22⋊C8—732no—
1148C22⋊C8—732no—
1149C22⋊C8C22×D7311yescharacteristic
1150C22⋊C8C22×D7311yescharacteristic
1151C22⋊C8C22×D7311yescharacteristic
1152C22⋊C8C22×D7312yes—
1153C22⋊C8C22×D7311yescharacteristic
1154C22⋊C8C22×D7312yes—
1155C22⋊C8C22×D7312yescomplemented
1156C22⋊C8C22×D7312yescomplemented
1157#97—732no—
1158#97—732no—
1159#97—732no—
1160#97C22×D7312yescomplemented
1161C4×C8—732no—
1162C4×C8—732no—
1163C4×C8—732no—
1164C4×C8C22×D7312yescomplemented
1165C24—2922no—
1166C24—2922no—
1167C24—2922no—
1168C24—731no—
1169C24—731no—
1170C24—731no—
1171C24—731no—
1172C24—731no—
1173C24—731no—
1174C24—731no—
1175C24C2×C4×D7311yescharacteristic
1176C24C2×C4×D7311yescharacteristic
1177#41—2922no—
1178#41—2922no—
1179#41—2922no—
1180#41—2922no—
1181#41—2922no—
1182#41—2922no—
1183#41—1464no—
1184#41—1464no—
1185C2×Q8—2922no—
1186C2×Q8—731no—
1187C2×Q8—731no—
1188C2×Q8—731no—
1189C2×Q8—731no—
1190C2×D4—42no—
1191C2×D4—2922no—
1192C2×D4—2922no—
1193C2×D4—2922no—
1194C2×D4—2922no—
1195C2×D4—2922no—
1196C2×D4—2922no—
1197C2×D4—731no—
1198C2×D4—731no—
1199C2×D4—731no—
1200C2×D4—731no—
1201C2×D4—731no—
1202C2×D4—731no—
1203C2×D4—731no—
1204C2×D4—731no—
1205C2×D4—731no—
1206C2×D4—731no—
1207C2×D4—731no—
1208C2×D4—731no—
1209C2×D4—731no—
1210C2×D4—731no—
1211C2×D4—731no—
1212C2×D4—731no—
1213C2×D4—731no—
1214C2×D4—731no—
1215C2×D4—731no—
1216C2×D4—731no—
1217C2×D4—731no—
1218C2×D4—731no—
1219C2×D4—731no—
1220C2×D4—731no—
1221C2×D4C2×C4×D7311yescharacteristic
1222C2×D4C2×C4×D7311yescharacteristic
1223C2×D4C2×C4×D7311yescharacteristic
1224C2×D4C2×C4×D7311yescharacteristic
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—2922no—
1228C22×C4—2922no—
1229C22×C4—2922no—
1230C22×C4—2922no—
1231C22×C4—2922no—
1232C22×C4—2922no—
1233C22×C4—2922no—
1234C22×C4—2922no—
1235C22×C4—2922no—
1236C22×C4—2922no—
1237C22×C4—2922no—
1238C22×C4—731no—
1239C22×C4—731no—
1240C22×C4—731no—
1241C22×C4—731no—
1242C22×C4—731no—
1243C22×C4—731no—
1244C22×C4—731no—
1245C22×C4—731no—
1246C22×C4—731no—
1247C22×C4—731no—
1248C22×C4—731no—
1249C22×C4—731no—
1250C22×C4—731no—
1251C22×C4—731no—
1252C22×C4—731no—
1253C22×C4—731no—
1254C22×C4—731no—
1255C22×C4—731no—
1256C22×C4—731no—
1257C22×C4—731no—
1258C22×C4—731no—
1259C22×C4—731no—
1260C22×C4—731no—
1261C22×C4—731no—
1262C22×C4—731no—
1263C22×C4—731no—
1264C22×C4—731no—
1265C22×C4—731no—
1266C22×C4—731no—
1267C22×C4—1464no—
1268C22×C4—1464no—
1269C22×C4—1464no—
1270C22×C4C2×C4×D7311yescharacteristic
1271C22×C4C2×C4×D7311yescharacteristic
1272C22×C4C2×C4×D7311yescharacteristic
1273C22×C4C2×C4×D7311yescharacteristic
1274C22×C4C2×C4×D7311yescharacteristic
1275C22×C4C2×C4×D7311yescharacteristic
1276C22×C4C2×C4×D7311yescharacteristic
1277C22×C4C2×C4×D7311yescharacteristic
1278C22×C4C23×D7311yescharacteristic
1279C22×C4C23×D7311yescharacteristic
1280C22×C4C23×D7311yescharacteristic
1281C22×C4C23×D7311yescharacteristic
1282C22×C4C23×D7311yescharacteristic
1283M16—42no—
1284M16—42no—
1285M16—2922no—
1286M16—2922no—
1287M16—2922no—
1288M16—2922no—
1289M16—2922no—
1290M16—2922no—
1291M16—2922no—
1292M16—2922no—
1293M16—1464no—
1294M16—1464no—
1295C2×C8—42no—
1296C2×C8—42no—
1297C2×C8—2922no—
1298C2×C8—2922no—
1299C2×C8—2922no—
1300C2×C8—2922no—
1301C2×C8—732no—
1302C2×C8—732no—
1303C2×C8—732no—
1304C2×C8—732no—
1305C2×C8—1464no—
1306C2×C8—1464no—
1307C2×C8C23×D7312yes—
1308C2×C8C23×D7312yes—
1309C2×C8C23×D7312yes—
1310C2×C8C23×D7312yes—
1311C4⋊C4—731no—
1312C4⋊C4—731no—
1313C4⋊C4—731no—
1314C4⋊C4—731no—
1315C4⋊C4—731no—
1316C4⋊C4—731no—
1317C4⋊C4—731no—
1318C4⋊C4—731no—
1319C4⋊C4—731no—
1320C4⋊C4—731no—
1321C4⋊C4—731no—
1322C4⋊C4—731no—
1323C4⋊C4—731no—
1324C4⋊C4—731no—
1325C4⋊C4—731no—
1326C4⋊C4—731no—
1327C4⋊C4—731no—
1328C4⋊C4—731no—
1329C4⋊C4—731no—
1330C4⋊C4—731no—
1331C4⋊C4C2×C4×D7311yescharacteristic
1332C4⋊C4C2×C4×D7311yescharacteristic
1333C4⋊C4C2×C4×D7311yescharacteristic
1334C4⋊C4C2×C4×D7311yescharacteristic
1335C22⋊C4—731no—
1336C22⋊C4—731no—
1337C22⋊C4—731no—
1338C22⋊C4—731no—
1339C22⋊C4—731no—
1340C22⋊C4—731no—
1341C22⋊C4—731no—
1342C22⋊C4—731no—
1343C22⋊C4—731no—
1344C22⋊C4—731no—
1345C22⋊C4—731no—
1346C22⋊C4—731no—
1347C22⋊C4—731no—
1348C22⋊C4—731no—
1349C22⋊C4—731no—
1350C22⋊C4—731no—
1351C22⋊C4—731no—
1352C22⋊C4—731no—
1353C22⋊C4—731no—
1354C22⋊C4—731no—
1355C22⋊C4—731no—
1356C22⋊C4—731no—
1357C22⋊C4—731no—
1358C22⋊C4—731no—
1359C22⋊C4—731no—
1360C22⋊C4—731no—
1361C22⋊C4—731no—
1362C22⋊C4—731no—
1363C22⋊C4—731no—
1364C22⋊C4—731no—
1365C22⋊C4—731no—
1366C22⋊C4—731no—
1367C22⋊C4C2×C4×D7311yescharacteristic
1368C22⋊C4C2×C4×D7311yescharacteristic
1369C22⋊C4C2×C4×D7311yescharacteristic
1370C22⋊C4C2×C4×D7311yescharacteristic
1371C22⋊C4C2×C4×D7311yescharacteristic
1372C22⋊C4C2×C4×D7311yescharacteristic
1373C22⋊C4C2×C4×D7311yescharacteristic
1374C22⋊C4C2×C4×D7311yescharacteristic
1375C42—731no—
1376C42—731no—
1377C42—731no—
1378C42—731no—
1379C42C2×C4×D7311yescharacteristic
1380C42C2×C4×D7311yescharacteristic
1381C42C23×D7311yescharacteristic
1382C42C23×D7311yescharacteristic
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—2921no—
1390C23—2921no—
1391C23—2921no—
1392C23—2921no—
1393C23—2921no—
1394C23—2921no—
1395C23—2921no—
1396C23—2921no—
1397C23—2921no—
1398C23—2921no—
1399C23—2921no—
1400C23—2921no—
1401C23—2921no—
1402C23—29216no—
1403C23—731no—
1404C23—731no—
1405C23—731no—
1406C23—731no—
1407C23—731no—
1408C23—731no—
1409C23—1462no—
1410C23—1462no—
1411C23—1462no—
1412C23—1462no—
1413C23—1462no—
1414C23—1462no—
1415C23—1462no—
1416C23—1462no—
1417C23C22×C4×D7311yescharacteristic
1418C23C22×C4×D7311yescharacteristic
1419C23C22×C4×D7311yescharacteristic
1420C23C22×C4×D7311yescharacteristic
1421C23C22×C4×D7311yescharacteristic
1422Q8—2921no—
1423Q8—2921no—
1424Q8—1462no—
1425Q8—1462no—
1426D4—22no—
1427D4—22no—
1428D4—41no—
1429D4—41no—
1430D4—2921no—
1431D4—2921no—
1432D4—2921no—
1433D4—2921no—
1434D4—2921no—
1435D4—2921no—
1436D4—2921no—
1437D4—2921no—
1438D4—2921no—
1439D4—2921no—
1440D4—2921no—
1441D4—2921no—
1442D4—2921no—
1443D4—2921no—
1444D4—2921no—
1445D4—2921no—
1446D4—1462no—
1447D4—1462no—
1448D4—1462no—
1449D4—1462no—
1450D4—1462no—
1451D4—1462no—
1452D4—1462no—
1453D4—1462no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—2921no—
1468C2×C4—2921no—
1469C2×C4—2921no—
1470C2×C4—2921no—
1471C2×C4—2921no—
1472C2×C4—2921no—
1473C2×C4—2921no—
1474C2×C4—2921no—
1475C2×C4—2921no—
1476C2×C4—2921no—
1477C2×C4—2921no—
1478C2×C4—2921no—
1479C2×C4—2921no—
1480C2×C4—731no—
1481C2×C4—734no—
1482C2×C4—731no—
1483C2×C4—731no—
1484C2×C4—731no—
1485C2×C4—731no—
1486C2×C4—731no—
1487C2×C4—731no—
1488C2×C4—731no—
1489C2×C4—731no—
1490C2×C4—731no—
1491C2×C4—1462no—
1492C2×C4—1462no—
1493C2×C4—1462no—
1494C2×C4—1462no—
1495C2×C4—1462no—
1496C2×C4—1462no—
1497C2×C4—1462no—
1498C2×C4—1462no—
1499C2×C4—1462no—
1500C2×C4—1462no—
1501C2×C4—1462no—
1502C2×C4—1462no—
1503C2×C4—1462no—
1504C2×C4—1462no—
1505C2×C4—1462no—
1506C2×C4C22×C4×D7311yescharacteristic
1507C2×C4C22×C4×D7311yescharacteristic
1508C2×C4C22×C4×D7311yescharacteristic
1509C2×C4C22×C4×D7311yescharacteristic
1510C2×C4C22×C4×D7311yescharacteristic
1511C2×C4C22×C4×D7311yescharacteristic
1512C2×C4C22×C4×D7311yescharacteristic
1513C2×C4C22×C4×D7311yescharacteristic
1514C2×C4C22×C4×D7311yescharacteristic
1515C2×C4C24×D7311yescharacteristic
1516C8—22no—
1517C8—22no—
1518C8—22no—
1519C8—22no—
1520C8—1462no—
1521C8—1462no—
1522C8—1462no—
1523C8—1462no—
1524C22—21no—
1525C22—21no—
1526C22—21no—
1527C22—21no—
1528C22—21no—
1529C22—21no—
1530C22—21no—
1531C22—21no—
1532C22—21no—
1533C22—21no—
1534C22—21no—
1535C22—21no—
1536C22—21no—
1537C22—44no—
1538C22—82no—
1539C22—2924no—
1540C22—2924no—
1541C22—2924no—
1542C22—2924no—
1543C22—2924no—
1544C22—2924no—
1545C22—5842no—
1546C22—732no—
1547C22—1461no—
1548C22—1461no—
1549C22—1461no—
1550C22—1461no—
1551C22—1461no—
1552C22—1461no—
1553C22—1461no—
1554C22—1461no—
1555C22—1461no—
1556C22—1461no—
1557C22—1461no—
1558C22—1461no—
1559C22—1461no—
1560C22—1461no—
1561C22—1461no—
1562C22—1461no—
1563C22—1461no—
1564C22#1798935212yes—
1565C22#1798935312yes—
1566C22C23×C4×D7311yescharacteristic
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—21no—
1576C4—732no—
1577C4—1461no—
1578C4—1461no—
1579C4—1461no—
1580C4—1461no—
1581C4—1461no—
1582C4—1461no—
1583C4—1461no—
1584C4—1461no—
1585C4—1461no—
1586C4H(5,𝔽2)×D7312yes—
1587C2—22no—
1588C2—22no—
1589C2—41no—
1590C2—41no—
1591C2—41no—
1592C2—2921no—
1593C2—2921no—
1594C2—2921no—
1595C2—2921no—
1596C2—2921no—
1597C2—1462no—
1598C2#518×D7311yescharacteristic
1599C2C2×#1798935211yescharacteristic
1600C2C2×#1798935311yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D73
commutator, socleC22×C73C24×C4
FittingC73×#2974C2
prime radicalC2×#17989096C2
cosocleC2×C4×C73C25
hypercenter#2974D73
hypocenterC73#60234
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #2974

Complements

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

NH ≅ G/Ntype
2. #22618990C2semidirect
3. #22618988C2semidirect
4. #22618980C2semidirect
5. #22618973C2semidirect
6. #22618971C2semidirect
7. #22618970C2semidirect
8. #22618967C2semidirect
9. #22618966C2semidirect
10. #22618962C2semidirect
11. #22618959C2semidirect
12. #22618957C2semidirect
13. #22618657C2semidirect
14. #22618651C2semidirect
15. #22618631C2semidirect
16. #22618629C2semidirect
17. #22618590C2semidirect
18. #22618584C2semidirect
19. #22618381C2semidirect
20. #22618377C2semidirect
21. C2×#17988549C2semidirect
22. #407×D73C2semidirect
23. C73×#2974C2semidirect
26. C2×#14556599C22semidirect
27. C2×#14556597C22semidirect
28. C22×#11924011C22semidirect
29. C2×M16×D73C22semidirect
58. #17988666C22semidirect
59. #17988666C22semidirect
60. #17988665C22semidirect
61. #17988664C22semidirect
62. #17988664C22semidirect
63. #17988663C22semidirect
64. #17988663C22semidirect
65. #17988663C22semidirect
66. #17988662C22semidirect
67. #17988662C22semidirect
68. #17988662C22semidirect
69. #17988661C22semidirect
70. #17988660C22semidirect
71. #17988660C22semidirect
72. #17988659C22semidirect
73. #17988659C22semidirect
74. #17988658C22semidirect
75. #17988658C22semidirect
76. #17988658C22semidirect
77. #17988657C22semidirect
78. #17988657C22semidirect
79. #17988656C22semidirect
80. #17988655C22semidirect
81. #17988655C22semidirect
82. #17988655C22semidirect
83. D4×#10596831C22semidirect
84. C8×C22⋊D73C22semidirect
85. #17988650C22semidirect
86. #17988649C22semidirect
87. #17988647C22semidirect
88. #17988647C22semidirect
89. #17988646C22semidirect
90. #17988644C22semidirect
91. #17988641C22semidirect
92. #17988641C22semidirect
93. #17988640C22semidirect
94. #17988637C22semidirect
95. #17988637C22semidirect
96. #17988612C22semidirect
97. #17988612C22semidirect
98. #17988555C22semidirect
99. #17988553C22semidirect
100. #17988552C22semidirect
101. #17988552C22semidirect
102. #17988552C22semidirect
103. #17988552C22semidirect
105. #17988551C22semidirect
106. #17988550C22semidirect
113. #17988549C22semidirect
114. #17988549C22semidirect
115. #17988549C22semidirect
116. #17988549C22semidirect
117. #17988549C22semidirect
119. C2×C22⋊#10596831C22semidirect
120. C2×#14556503C22semidirect
123. C22⋊C8×D73C22semidirect
124. C22⋊C8×D73C22semidirect
125. C22⋊C8×D73C22semidirect
126. #17988544C22semidirect
127. #17988541C22semidirect
129. #436×C73C22semidirect
130. #435×C73C22semidirect
131. #435×C73C22semidirect
132. C8×D4×C73C22semidirect
133. #432×C73C22semidirect
134. #431×C73C22semidirect
136. #407×C73C22semidirect
138. C2×C22⋊C8×C73C22semidirect
174. C2×#11924012C23semidirect
182. C2×#11924011C23semidirect
183. C2×#11924011C23semidirect
186. C22×#10596831C23semidirect
189. C2×C8×D73C23semidirect
190. C2×C8×D73C23semidirect
301. C4⋊#10596831C23semidirect
302. C4⋊#10596831C23semidirect
303. #14556520C23semidirect
304. #14556520C23semidirect
305. #14556520C23semidirect
306. #14556520C23semidirect
313. C22⋊#10596831C23semidirect
314. C22⋊#10596831C23semidirect
323. #14556503C23semidirect
324. #14556503C23semidirect
325. #14556503C23semidirect
326. #14556503C23semidirect
327. #14556502C23semidirect
328. #14556501C23semidirect
329. #14556501C23semidirect
330. C4×#10596831C23semidirect
331. C8×Dic73C23semidirect
332. C8×Dic73C23semidirect
337. C2×M16×C73C23semidirect
339. C22×C8×C73C23semidirect
352. C4⋊C8×C73C23semidirect
353. C4⋊C8×C73C23semidirect
360. C22⋊C8×C73C23semidirect
361. C22⋊C8×C73C23semidirect
362. #97×C73C23semidirect
363. C4×C8×C73C23semidirect
811. #2974D73semidirect
824. C73#60234semidirect
871. #436C2×D73semidirect
886. #435C2×D73semidirect
887. #435C2×D73semidirect
891. C8×D4C2×D73semidirect
899. #432C2×D73semidirect
903. #431C2×D73semidirect
927. #407C2×D73semidirect
937. C2×C22⋊C8C2×D73semidirect
990. C2×M16C22×D73semidirect
998. C22×C8C22×D73semidirect
1127. C4⋊C8C22×D73semidirect
1128. C4⋊C8C22×D73semidirect
1155. C22⋊C8C22×D73semidirect
1156. C22⋊C8C22×D73semidirect
1160. #97C22×D73semidirect
1164. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179890962
#226189902
#226189882
#226189802
#226189732
#226189712
#226189702
#226189672
#226189662
#226189622
#226189592
#226189572
#226186572
#226186512
#226186312
#226186292
#226185902
#226185842
#226183812
#226183772
C2×#179885492
#407×D732
C73×#29742
#6023473