Finite Group Databasebeta

← #33969083

Subgroups — #33969083

Order 18688.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623940C211yesmaximal, characteristic, complemented
2#22623865C211yesmaximal, characteristic, complemented
3#22622996C211yesmaximal, characteristic, complemented
4#22622838C211yesmaximal, characteristic, complemented
5#22622753C211yesmaximal, characteristic, complemented
6#22622742C211yesmaximal, characteristic, complemented
7#22622510C211yesmaximal, characteristic, complemented
8#22622456C211yesmaximal, characteristic, complemented
9#22622430C211yesmaximal, characteristic, complemented
10#22622194C211yesmaximal, characteristic, complemented
11#22622157C211yesmaximal, characteristic, complemented
12#22622101C211yesmaximal, characteristic, complemented
13#22622086C211yesmaximal, characteristic, complemented
14#22621962C211yesmaximal, characteristic, complemented
15#22621917C211yesmaximal, characteristic, complemented
16#22621559C211yesmaximal, characteristic, complemented
17#22621440C211yesmaximal, characteristic, complemented
18#22621433C211yesmaximal, characteristic, complemented
19#22620610C211yesmaximal, characteristic, complemented
20#22620572C211yesmaximal, characteristic, complemented
21#22620219C211yesmaximal, characteristic, complemented
22#22620199C211yesmaximal, characteristic, complemented
23#22620166C211yesmaximal, characteristic, complemented
24#22620121C211yesmaximal, characteristic, complemented
25#22620034C211yesmaximal, characteristic, complemented
26#22620026C211yesmaximal, characteristic, complemented
27#22618916C211yesmaximal, characteristic, complemented
28#22618785C211yesmaximal, characteristic, complemented
29#22618769C211yesmaximal, characteristic, complemented
30C4×#14556619C211yesmaximal, characteristic, complemented
31C73×#3172C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989311C2211yescharacteristic, complemented
38#17989309—21no—
39#17989309—21no—
40#17989308C2211yescharacteristic
41#17989308C2211yescharacteristic, complemented
42#17989305—21no—
43#17989303C2211yescharacteristic, complemented
44#17989300—21no—
45#17989293C2211yescharacteristic
46#17989290C2211yescharacteristic
47#17989281—21no—
48#17989279C2211yescharacteristic
49#17989266—21no—
50#17989261—21no—
51#17989252C2211yescharacteristic, complemented
52#17989247C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989237C2211yescharacteristic
55#17989232—21no—
56#17989230C2211yescharacteristic
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989209C2211yescharacteristic
60#17989209C2211yescharacteristic, complemented
61#17989209C2211yescharacteristic, complemented
62#17989207—21no—
63#17989207—21no—
64#17989188C2211yescharacteristic
65#17989178—21no—
66#17989176—21no—
67#17989143—21no—
68#17989122—21no—
69#17989121C2211yescharacteristic
70#17989095—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989063C2211yescharacteristic, complemented
74#17989063C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic
76C4×#11924028C2211yescharacteristic, complemented
77C2×C4×D292C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic
81#17988972C2211yescharacteristic, complemented
82#17988948C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988927C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988920C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic
97#17988902C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic
105#17988870C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic
107#17988865C2211yescharacteristic, complemented
108#17988864C2211yescharacteristic
109#17988864C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988836C2211yescharacteristic
112#17988836C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988825C2211yescharacteristic, complemented
115#17988824C2211yescharacteristic
116#17988822C2211yescharacteristic, complemented
117#17988819C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic
123#17988805C2211yescharacteristic
124#17988804C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988789C2211yescharacteristic
127#17988789C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic
129#17988785C2211yescharacteristic
130#17988748C2211yescharacteristic
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988737C2211yescharacteristic
134#17988737C2211yescharacteristic
135#17988736C2211yescharacteristic
136#17988735C2211yescharacteristic
137#17988730C2211yescharacteristic
138#17988727C2211yescharacteristic
139#17988727C2211yescharacteristic, complemented
140#17988724C2211yescharacteristic, complemented
141#17988722C2211yescharacteristic
142#17988715C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic, complemented
147#17988694C2211yescharacteristic, complemented
148#17988692C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic
150#17988689C2211yescharacteristic
151#17988689C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic
154#17988685C2211yescharacteristic
155#17988685C2211yescharacteristic
156#17988685C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic, complemented
158#17988685C2211yescharacteristic, complemented
159#17988684C2211yescharacteristic, complemented
160#17988679C2211yescharacteristic, complemented
161C4×#11924017C2211yescharacteristic
162C4×#11924017C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic
165#17988672C2211yescharacteristic
166C4×D584C2211yescharacteristic
167C4×D584C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic
169#17988663C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174#17988646C2211yescharacteristic, complemented
175#17988646C2211yescharacteristic, complemented
176#17988644C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180#17988594C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#17988590C2211yescharacteristic
183#17988589C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic
185#103×D73C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#497×C73C2211yescharacteristic, complemented
192#491×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#470×C73C2211yescharacteristic, complemented
196#468×C73C2211yescharacteristic
197#468×C73C2211yescharacteristic
198C4×Q16×C73C2211yescharacteristic, complemented
199C4×Q16×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×Q8×D73C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556623—24no—
213#14556619—24no—
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223SD16×D73—24no—
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556590—21no—
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589—21no—
237#14556589—21no—
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556585—21no—
246#14556585—21no—
247#14556585—21no—
248#14556585D411yescharacteristic
249#14556585D411yescharacteristic
250#14556584—21no—
251#14556584—21no—
252#14556583D411yescharacteristic
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556580—21no—
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556580C2311yescharacteristic
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556579—21no—
262#14556579—21no—
263#14556579D411yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556575—21no—
275#14556575—21no—
276#14556574—21no—
277#14556574D411yescharacteristic
278#14556574D411yescharacteristic
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571—21no—
286#14556570D411yescharacteristic
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566—21no—
302#14556566—21no—
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565D411yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556562C2311yescharacteristic
315#14556561—21no—
316#14556561—21no—
317#14556561—21no—
318#14556559—21no—
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556—21no—
329#14556556—21no—
330#14556556—21no—
331#14556556—21no—
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556550C2311yescharacteristic
360#14556549—21no—
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556549C2311yescharacteristic
367#14556548—21no—
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371#14556548C2311yescharacteristic
372#14556548C2311yescharacteristic
373#14556547—21no—
374C2×C4⋊Dic73C2311yescharacteristic
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C42×D73—21no—
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73—21no—
448#125×C73C2311yescharacteristic
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456C4×Q8×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—22no—
486#11924028—41no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—22no—
496Q8×D73—22no—
497Q8×D73—41no—
498Q8×D73—41no—
499C2×D292—22no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—41no—
507C2×D292C2×D411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73C2×D411yescharacteristic
517C2×C22⋊D73C2×D411yescharacteristic
518D4×D73—22no—
519D4×D73—41no—
520D4×D73—82no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—82no—
537C2×C4×D73C2411yescharacteristic
538C2×C4×D73C2411yescharacteristic
539#11924018—22no—
540#11924017—22no—
541#11924017#4114yescomplemented
542#11924016—22no—
543#11924015—22no—
544#11924015—22no—
545#11924015—41no—
546#11924015—41no—
547#11924015—41no—
548D584—22no—
549D584—22no—
550#11924013—41no—
551#11924011—22no—
552#11924011—41no—
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C8×D73—22no—
558C8×D73—41no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C2×Q8×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73C2411yescharacteristic
646C22×C4×C73—21no—
647C22×C4×C73C2×D411yescharacteristic
648C22×C4×C73C2×D411yescharacteristic
649C22×C4×C73C2411yescharacteristic
650Q16×C73—22no—
651Q16×C73—41no—
652SD16×C73—22no—
653SD16×C73—41no—
654M16×C73—22no—
655M16×C73—41no—
656C2×C8×C73C2411yescharacteristic
657C2×C8×C73C2411yescharacteristic
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C22×D73—21no—
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—42no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—81no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73C22×D411yescharacteristic
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—81no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—42no—
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—41no—
722C2×C4×C73—41no—
723C2×C4×C73—81no—
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C2511yescharacteristic
730C22⋊D73—41no—
731C22⋊D73—41no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—81no—
735C22⋊D73—81no—
736C22⋊D73—81no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—42no—
743C2×Dic73—81no—
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750D292—21no—
751D292—21no—
752D292—21no—
753D292—21no—
754D292—21no—
755D292—41no—
756D292—42no—
757D292—42no—
758D292—81no—
759D292—81no—
760D292—81no—
761D292—81no—
762D292C2×#4112yes—
763C4×D73—21no—
764C4×D73—21no—
765C4×D73—21no—
766C4×D73—21no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—81no—
773C4×D73—81no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780Dic146—21no—
781Dic146—41no—
782Dic146—42no—
783Dic146—42no—
784Dic146—81no—
785Dic146—81no—
786Dic146—81no—
787Dic146C2×#4112yes—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73C2×#4112yes—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73C23×D411yescharacteristic
803C2×D73—21no—
804C2×D73—21no—
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—21no—
809C2×D73—22no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—84no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73C22×#4111yescharacteristic
833C4×C73#58511yescharacteristic
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—22no—
839Dic73—21no—
840Dic73—21no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61503—731nomaximal, Sylow
846C2×C73—41no—
847C2×C73—81no—
848C2×C73D4×#4111yescharacteristic
849C2×C73#358511yescharacteristic
850C2×C73#358611yescharacteristic
851D73—41no—
852D73—41no—
853D73—42no—
854D73—81no—
855D73—81no—
856#3518—731no—
857#3513—731no—
858#3401—731no—
859#3385—731no—
860#3376—731no—
861#3375—731no—
862#3353—731no—
863#3349—731no—
864#3347—731no—
865#3327—731no—
866#3324—731no—
867#3320—731no—
868#3319—731no—
869#3311—731no—
870#3308—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3175—731no—
876#3172D7311yescharacteristic, complemented
877#3126—731no—
878#3124—731no—
879#3121—731no—
880#3118—731no—
881#3111—731no—
882#3110—731no—
883#2967—731no—
884#2949—731no—
885#2947—731no—
886C4×AGL(1,ℤ/8)—731no—
887C73#6150311yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892Q82—731no—
893#556—731no—
894#556—731no—
895#556—731no—
896#556—1461no—
897#556—1461no—
898#556—1461no—
899#555—731no—
900#555—1461no—
901#554—731no—
902#553—731no—
903#553—1461no—
904#552—731no—
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#542—731no—
918#542—1461no—
919#542—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#533—1461no—
924#533C2×D7311yescharacteristic, complemented
925#529—731no—
926#529—1461no—
927#529C2×D7311yescharacteristic
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#519—731no—
932#519—731no—
933#518—731no—
934C4×#41—731no—
935C2×C4×D4—731no—
936#501—731no—
937#501C2×D7311yescharacteristic, complemented
938#500—731no—
939#497C2×D7311yescharacteristic, complemented
940#496—731no—
941#495—731no—
942#491C2×D7311yescharacteristic, complemented
943#489—731no—
944#489—731no—
945#489C2×D7311yescharacteristic, complemented
946#488—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#485—731no—
951#484—731no—
952#484—731no—
953#484—731no—
954#482—731no—
955#482—731no—
956#482—731no—
957#482—731no—
958#482—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#478—731no—
964#477—731no—
965#477—731no—
966#476—731no—
967#475—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474—731no—
972#470C2×D7311yescharacteristic, complemented
973#470C2×D7311yescharacteristic, complemented
974#469—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468C2×D7311yescharacteristic
979#468C2×D7311yescharacteristic
980#467—731no—
981#466—731no—
982#466—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#464—731no—
987#464—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461—731no—
993#461—731no—
994#460—731no—
995#460—731no—
996#452—731no—
997#452—731no—
998#451—731no—
999#450—731no—
1000#450—731no—
1001#450—731no—
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#448—731no—
1007#447—731no—
1008#446—731no—
1009#446—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026C4×Q16—731no—
1027C4×Q16C2×D7311yescharacteristic, complemented
1028C4×Q16C2×D7311yescharacteristic, complemented
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16C2×D7311yescharacteristic, complemented
1035C4×SD16C2×D7311yescharacteristic, complemented
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#436—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435—731no—
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049#427—731no—
1050#419—731no—
1051#418—731no—
1052#418—731no—
1053#417—731no—
1054#416—731no—
1055C2×#103—731no—
1056#405—731no—
1057#405—731no—
1058C4×M16C2×D7311yescharacteristic, complemented
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—1461no—
1062C22×Q8—731no—
1063C22×Q8—731no—
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4—1461no—
1067C23×C4—1461no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16C22×D7311yescharacteristic
1072C2×Q16C22×D7311yescharacteristic
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—1464no—
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C2×M16C22×D7311yescharacteristic
1090C2×M16C22×D7311yescharacteristic
1091C22×C8—731no—
1092C22×C8—731no—
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—1461no—
1097C4⋊Q8—1461no—
1098C4⋊Q8—1461no—
1099C4⋊Q8—1461no—
1100C4⋊Q8C22×D7311yescharacteristic
1101C4⋊Q8C22×D7311yescharacteristic
1102#127—731no—
1103#126—21no—
1104#126—731no—
1105#126—731no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#125—21no—
1118#125—731no—
1119#125—731no—
1120#125—1461no—
1121#125C22×D7311yescharacteristic
1122#124—731no—
1123#124—731no—
1124#124—731no—
1125#124—731no—
1126#124—1461no—
1127#124—1461no—
1128#124—1461no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124C22×D7311yescharacteristic
1137#123—21no—
1138#123—731no—
1139#123—731no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153C22⋊Q8—21no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—21no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×Q8C22×D7311yescharacteristic
1210C4×Q8C22×D7311yescharacteristic
1211C4×Q8C22×D7311yescharacteristic
1212C4×D4—21no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—731no—
1245#117—731no—
1246#117—731no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—1461no—
1266C2×C42C22×D7311yescharacteristic
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107C22×D7311yescharacteristic
1276#107C22×D7311yescharacteristic
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103C22×D7311yescharacteristic
1300#103C22×D7311yescharacteristic
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331#97C22×D7311yescharacteristic
1332#97C22×D7311yescharacteristic
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8C22×D7311yescharacteristic
1336C4×C8C22×D7311yescharacteristic
1337C24—1461no—
1338C24—1461no—
1339#41—2921no—
1340#41—2921no—
1341#41—5842no—
1342#41—1462no—
1343#41—1462no—
1344C2×Q8—21no—
1345C2×Q8—2921no—
1346C2×Q8—2921no—
1347C2×Q8—731no—
1348C2×Q8—731no—
1349C2×Q8—1461no—
1350C2×Q8—1461no—
1351C2×Q8—1461no—
1352C2×Q8—1461no—
1353C2×Q8—1461no—
1354C2×Q8—1462no—
1355C2×Q8—1462no—
1356C2×Q8C23×D7311yescharacteristic
1357C2×Q8C23×D7311yescharacteristic
1358C2×Q8C23×D7311yescharacteristic
1359C2×D4—21no—
1360C2×D4—2921no—
1361C2×D4—2921no—
1362C2×D4—5842no—
1363C2×D4—731no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—731no—
1369C2×D4—1461no—
1370C2×D4—1462no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1462no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4—1461no—
1382C2×D4C23×D7311yescharacteristic
1383C22×C4—21no—
1384C22×C4—5842no—
1385C22×C4—731no—
1386C22×C4—731no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4D4×D7311yescharacteristic
1403C22×C4D4×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—41no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—2921no—
1413SD16—734no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—22no—
1422M16—41no—
1423M16—2921no—
1424M16—1462no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—731no—
1489C22⋊C4—731no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—731no—
1529C42—731no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42D4×D7311yescharacteristic
1542C42D4×D7311yescharacteristic
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—2922no—
1547C23—2922no—
1548C23—2922no—
1549C23—5841no—
1550C23—5841no—
1551C23—5841no—
1552C23—731no—
1553C23—731no—
1554C23—1461no—
1555C23—1461no—
1556C23—1461no—
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—81no—
1565Q8—2921no—
1566Q8—2922no—
1567Q8—2922no—
1568Q8—5841no—
1569Q8—5841no—
1570Q8—5841no—
1571Q8—732no—
1572Q8—1461no—
1573D4—21no—
1574D4—21no—
1575D4—42no—
1576D4—2922no—
1577D4—2921no—
1578D4—2922no—
1579D4—2922no—
1580D4—2921no—
1581D4—2921no—
1582D4—2922no—
1583D4—5841no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—732no—
1591D4—1461no—
1592D4—1461no—
1593D4—1461no—
1594D4—1461no—
1595D4—1461no—
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—41no—
1606C2×C4—41no—
1607C2×C4—81no—
1608C2×C4—2922no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—5841no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4C2×D4×D7311yescharacteristic
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1461no—
1648C8—1461no—
1649C8—1461no—
1650C8—1461no—
1651C8#41×D7312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—2921no—
1659C22—2921no—
1660C22—2921no—
1661C22—2921no—
1662C22—2921no—
1663C22—2921no—
1664C22—2921no—
1665C22—2921no—
1666C22—5844no—
1667C22—11682no—
1668C22—1461no—
1669C22—1461no—
1670C22—1462no—
1671C22—1461no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—1462no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942311yescharacteristic
1701C2—41no—
1702C2—81no—
1703C2—2922no—
1704C2—2921no—
1705C2—2921no—
1706C2—5841no—
1707C2—5841no—
1708C2#2262341711yescharacteristic
1709C2#2262470811yescharacteristic
1710C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3172C2
socleC22×C73C23×D4
hypercenter#3172D73
hypocenterC73#61503
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3172

Complements

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

NH ≅ G/Ntype
1. #22623940C2semidirect
2. #22623865C2semidirect
3. #22622996C2semidirect
4. #22622838C2semidirect
5. #22622753C2semidirect
6. #22622742C2semidirect
7. #22622510C2semidirect
8. #22622456C2semidirect
9. #22622430C2semidirect
10. #22622194C2semidirect
11. #22622157C2semidirect
12. #22622101C2semidirect
13. #22622086C2semidirect
14. #22621962C2semidirect
15. #22621917C2semidirect
16. #22621559C2semidirect
17. #22621440C2semidirect
18. #22621433C2semidirect
19. #22620610C2semidirect
20. #22620572C2semidirect
21. #22620219C2semidirect
22. #22620199C2semidirect
23. #22620166C2semidirect
24. #22620121C2semidirect
25. #22620034C2semidirect
26. #22620026C2semidirect
27. #22618916C2semidirect
28. #22618785C2semidirect
29. #22618769C2semidirect
30. C4×#14556619C2semidirect
31. C73×#3172C2semidirect
36. #17989317C22semidirect
37. #17989311C22semidirect
41. #17989308C22semidirect
43. #17989303C22semidirect
51. #17989252C22semidirect
53. #17989247C22semidirect
60. #17989209C22semidirect
61. #17989209C22semidirect
73. #17989063C22semidirect
74. #17989063C22semidirect
76. C4×#11924028C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
81. #17988972C22semidirect
82. #17988948C22semidirect
83. #17988948C22semidirect
84. #17988943C22semidirect
86. #17988927C22semidirect
87. #17988926C22semidirect
88. #17988925C22semidirect
89. #17988921C22semidirect
90. #17988920C22semidirect
91. #17988920C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988910C22semidirect
97. #17988902C22semidirect
98. #17988897C22semidirect
99. #17988892C22semidirect
100. #17988891C22semidirect
101. #17988884C22semidirect
102. #17988881C22semidirect
103. #17988880C22semidirect
105. #17988870C22semidirect
107. #17988865C22semidirect
109. #17988864C22semidirect
110. #17988841C22semidirect
112. #17988836C22semidirect
113. #17988830C22semidirect
114. #17988825C22semidirect
116. #17988822C22semidirect
117. #17988819C22semidirect
118. #17988812C22semidirect
119. #17988811C22semidirect
120. #17988811C22semidirect
121. #17988806C22semidirect
124. #17988804C22semidirect
125. #17988799C22semidirect
127. #17988789C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
139. #17988727C22semidirect
140. #17988724C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
145. #17988700C22semidirect
146. #17988697C22semidirect
147. #17988694C22semidirect
148. #17988692C22semidirect
151. #17988689C22semidirect
152. #17988687C22semidirect
156. #17988685C22semidirect
157. #17988685C22semidirect
158. #17988685C22semidirect
159. #17988684C22semidirect
160. #17988679C22semidirect
162. C4×#11924017C22semidirect
163. SD16×Dic73C22semidirect
167. C4×D584C22semidirect
169. #17988663C22semidirect
170. #17988660C22semidirect
171. #17988660C22semidirect
173. #17988656C22semidirect
174. #17988646C22semidirect
175. #17988646C22semidirect
176. #17988644C22semidirect
177. #17988629C22semidirect
178. #17988628C22semidirect
179. #17988622C22semidirect
180. #17988594C22semidirect
183. #17988589C22semidirect
185. #103×D73C22semidirect
186. #17988541C22semidirect
187. #17988541C22semidirect
188. #533×C73C22semidirect
190. #501×C73C22semidirect
191. #497×C73C22semidirect
192. #491×C73C22semidirect
193. #489×C73C22semidirect
194. #470×C73C22semidirect
195. #470×C73C22semidirect
198. C4×Q16×C73C22semidirect
199. C4×Q16×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. C4×M16×C73C22semidirect
541. #11924017#41semidirect
876. #3172D73semidirect
887. C73#61503semidirect
924. #533C2×D73semidirect
937. #501C2×D73semidirect
939. #497C2×D73semidirect
942. #491C2×D73semidirect
945. #489C2×D73semidirect
972. #470C2×D73semidirect
973. #470C2×D73semidirect
1027. C4×Q16C2×D73semidirect
1028. C4×Q16C2×D73semidirect
1034. C4×SD16C2×D73semidirect
1035. C4×SD16C2×D73semidirect
1058. C4×M16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239402
#226238652
#226229962
#226228382
#226227532
#226227422
#226225102
#226224562
#226224302
#226221942
#226221572
#226221012
#226220862
#226219622
#226219172
#226215592
#226214402
#226214332
#226206102
#226205722
#226202192
#226201992
#226201662
#226201212
#226200342
#226200262
#226189162
#226187852
#226187692
C4×#145566192
C73×#31722
#6150373